The number of catnip toys that Jose can buy will be 3 catnip toys. All the steps are described below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The table is given below.
Product Cost
Bag of Dog Food $35
Bag of Cat Food $18
Chew Toy $12
Catnip Toy $9
In the event that, your numbers are unique, you should simply supplant the qualities you have with the methodology here, and you ought to find an exact solution.
Presently, Emma has $100 to spend at the store. Along these lines, we really want to ascertain the amount she spends on shopping:
$35 + 2 x $12 = $59
In this way, she burned through $59 in the store, so she has left:
$100 - $59 = $41
She has $41 left to spend on something different. How about we check whether she has sufficient means to purchase multiple times catnip toys as bite toys:
Chew toys: 3 x 12 = $36
Catnip toy: 3 x 9 = $27
Furthermore, Emma has $41 left, so she can either purchase multiple times bite toys or multiple times catnip toys, however not the two of them at that point, on the grounds that the all-out would be 63% dollars, and she will be missing $22.
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2. The ratio of the number of men to the number of women in a parade is 5:3. The ratio of the number of children to of adults is 1:2.
a) Find the ratio of the number of men to the number of women to the number of children.
b) If there are 1 440 people altogether, find the number of women.
The ratio of the number of men to women to adults is 5 : 3 : 4 and the number of women is 360
The ratio of the number of men to women to children.From the question, we have the following ratios that can be used in our computation:
Men : Women = 5 : 3
Children : Adults = 1 : 2
This means that
Children : Men : Women = 1 : 2(Men : Women)
So, we have the following representation
Children : Men : Women = 1 : 2(5/8 : 3/8)
Open the brackets
Children : Men : Women = 1 : 5/4 : 3/4
Multiply through by 4
Children : Men : Women = 4 : 5 : 3
Rewrite the ratio as
Men : Women : Children 5 : 3 : 4
The number of women in the paradeHere, we have
People = 1440
Recall that
Men : Women : Children 5 : 3 : 4
So, we have
Women = 3/(5 +3 + 4) * 1440
Evaluate the sum
Women = 3/12 * 1440
Evaluate the products
Women = 360
Hence, the number of women is 360
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Jody takes out a 30-year mortgage for $300,000 at 3.524% APR. Her monthly payment is $1,350. She pays $186,175 in interest over those 30 years.
What is the total amount she will pay for the house?
If her monthly payment is $1,350. She pays $186,175 in interest over those 30 years. The total amount she will pay for the house will be $ 672175.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on borrowing money in the form of interest but APR is applied annually.
It is given that, Jody takes out a 30-year mortgage for $300,000 at 3.524% APR. Her monthly payment is $1,350. She pays $186,175 in interest over those 30 years.
1 year = 12 month
30 year = 360 month
We have to find the total amount she will pay for the house,
Total amount = Monthly payment × 360 + intreast over 30 years
Total amount =1,350 × 360 + 186,175
Total amount =$ 672175
Thus, if her monthly payment is $1,350. She pays $186,175 in interest over those 30 years. The total amount she will pay for the house will be $ 672175.
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What is the slant height of the cone?
The slant height of the cone is 12.6 units
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
h= 12
diameter = d = 8
so, radius, r = d/2 = 8/2 = 4
Formula for slant height , l is:
l = √(h² + r²) = √(12² + 4² )
= √(144 + 16) = √160 = 12.649 ≈ 12.6 units
The slant height of the cone is 12.6 units
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Below are two parallel lines with a third line intersecting them.
Answer: 132 degrees
Step-by-step explanation:
Because the lines are parallel, and the line intersecting them is straight, the angle on top should be the same as the angle on the bottom.
So that makes x=132
6. order from least to greatest. 0.4,4/6,40.5%,11/25
Answer:
Answer:
Step-by-step explanation:
[tex]0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]
Step-by-step explanation:Given numbers :
[tex]0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]
Let's convert percent and fraction into like decimals.
[tex]\frac{4}{9}\ = 0.444[/tex]
We know that to convert percentage into decimals, we need to divide it by 100, we get
[tex]40.5 = \frac{40.5}{100} = 0.405[/tex]
[tex]\frac{11}{25} = 0.400[/tex]
Now , placing the above decimal numbers in order from least to greatest
[tex]0.400, 0.405, 0.440, 0.444[/tex]
[tex]=0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]
Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:
5 years?
10 years?
486 months?
The CD be worth in 5 years is
When t=5 years ,A = $2023.3When t = 10 years, A = $2729.1When t = 486 months, A = $16935What is meant by compound interest?We would use the following formula to calculate compound interest:
A = P(1 + r / n) nt
Where
A is the CD's total value after t years.
The interest rate is represented by r.
The periodic interval at which it was compounded is represented by n.
P stands for the principal, or the amount of the CD purchase.
Considering the data provided,
P = 1500
r = 6% = 6/100 = 0.06
Since it was compounded 12 times in a year, n = 12.
The phrase changes.
A = 1500(1+0.06/12)^12 × t
A = 1500(1+0.005)^12t
A = 1500(1.005)^12t
1) If t is five years,
A = 1500(1.005)^12 × 5
A = $2023.3
2) If t equals ten years,
A = 1500(1.005)^12 × 10
A = $2729.1
3) If t equals 486 months, then 486/12 is 40.5 years.
A = 1500(1.005)^12 × 40.5
A = $16935
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The_______states that the part equals the percent multiplied by the whole
The percentage equation states that the part equals the percent multiplied by the whole.
What is percent?
A percentage is a number that indicates how much is 100 and can also be expressed as a decimal or fraction.
What is Percentage Equation?
Percentage equations allow you to find parts or ratios of amounts (or wholes). Percentages are specified with a % sign after the number of hundredths.
The formula for percentage equation is given below
Percent=(Part/Whole)x100
Example: 45 is 60% of what number?
Modifying the above percentage equation, we get
Whole= (Part/Percent) x 100
⇒Whole= (45/60) x 100
⇒Whole= (3/4) x 100
⇒Whole= 3 x 25
⇒Whole= 75
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PLEASE HELP ME WITH THIS QUESTION
Draw an example of a polynomial with
-Degree of 5
-Positive lead coefficient
-Zeros at -5, -2, 0, 3, 6
The required polynomial is x⁵ - 2x⁴ - 35x³ + 36x² + 180x.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
Given, We have to construct a polynomial of degree 5, a positive lead
co-efficient and zeros or roots are -5, -2, 0, 3, 6.
If roots are -5, -2, 0, 3, 6 factors are (x + 5), (x + 2), (x + 0), (x - 3), (x - 6).
∴The required polynomial is (x + 5)(x + 2)(x + 0)(x - 3)(x - 6).
= x(x + 5)(x + 2)(x - 3)(x - 6).
= (x² + 5x)(x² - 3x + 2x - 6)(x - 6).
= (x² + 5x)(x² - x - 6)(x - 6).
= (x² + 5x)(x³ - 6x² - x² + 6x -6x + 36).
= (x² + 5x)(x³ - 7x²+ 36).
= x⁵ - 7x⁴ + 36x² + 5x⁴ - 35x³ + 180x.
= x⁵ - 2x⁴ - 35x³ + 36x² + 180x.
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Determine the degree measure of one angle of a 45-sided regular polygon.
The measure of an interior angle (in degrees) of an [tex]n[/tex]-sided regular polygon is [tex]\frac{180(n-2)}{n}[/tex].
[tex]n=45 \implies \frac{180(n-2)}{n}=\boxed{172^{\circ}}[/tex]
The degree measure of one angle of a 45-sided regular polygon is 172°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Here, the polygon has 45 sides.
To find the measure of an interior angle of a regular polygon,
we make use of the formula for each angle = (n - 2) × 180 / n.
The formula calculated is only valid in cases of regular-sided polygons.
n = 45 substituting the value of n to the formula.
(n - 2) × 180 / n
= 180 ( 45-2) / 45
= 180 x 43 / 45
= 7740 / 45
= 172°
Therefore, the measure of one angle is 172°.
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What is the equation in slope-intercept form of the line that passes through the point (3,4) and is parallel to the line represented by y=3x−2?
y=3x+7y
y=3x−5y
y=−3x+5y
y=−3x−7
The equation in slope-intercept form of the line that passes through the point (3,4) and is parallel to the line represented by y=3x−2 is y = 3x - 5.
How to represent equation in slope intercept form?The equation of a line can be represented in slope intercept form, point slope form, standard form and general form.
Linear equation in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line that passes through the point (3,4) and is parallel to the line represented by y = 3x −2.
parallel lines have the same slope.
Therefore, the slope of the line is 3.
The y-intercept can be found as follows:
using (3, 4)
y = 3x + b
4 = 3(3) + b
b = 4 - 9
b = -5
Therefore, the equation in slope intercept form is y = 3x - 5.
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Water boils at a minimum temperature of 100 degrees Celsius. Which inequality represents this scenario? 100 > b 100 < b 100 ≤ b 100 ≥ b
The inequality which represents the range of temperature at which water boils is 100 ≤ b thus, option (C) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
Water boils at a minimum temperature of 100 degrees Celsius.
Suppose b is the temperature at which water boils.
100 ≤ b
Hence "The inequality which represents the range of temperature at which water boils is 100 ≤ b".
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if c is (5x-7) degrees and b is (8x-55) degrees what is the value of x
The value of x is 18 if ∠C and ∠D are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55.
What are vertically opposite angles?
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
∠C and ∠D are vertical angles.
5x-7 = 8x-55
Subtract 5x from both sides:
-7 = 3x -55
Add 55 to both sides:
3x = 48
x = 48 /3
x = 16
Thus, the value of x is 18 if ∠C and ∠D are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55.
∠C and ∠D are vertical angles. m∠C = 5x - 7 and m∠D = 8x – 55. What is m∠D ?
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Evan added -2 1/2+4 and got six 1/2 draw arrows on the number line to represent the problem and explains Evans error
Evan made a mistake to add. As the sign of 4 positive and the sign of [tex]2\frac{1}{2}[/tex]. The subtraction operation must be performed for this.
What is a number line?
The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.
The given expression is
[tex]-2\frac{1}{2}[/tex] +4
It can be written as 4 [tex]-2\frac{1}{2}[/tex] .
Now perform the subtraction operation:
= 4 - 5/2
= (8-5)/2
=3/2
= [tex]1\frac{1}{2}[/tex]
The number line that represents the given operation is attached below.
Evan added 4 and [tex]2\frac{1}{2}[/tex] which is incorrect way.
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Type the expression as a radical.
Step-by-step explanation:
in a fraction as exponent the numerator defines the pure exponent of the base, and the denominator gives the degree of root of the base.
so, this is
[tex] \sqrt[5]{y^{3} } [/tex]
Answer:
[tex] \sqrt[5]{ {y}^{3} } [/tex]
Step-by-step explanation:
When converting an expression with a fractional exponent to its radical form, the base number goes inside the radical(which means it becomes the radicand) along with the numerator(which remains an exponent). Whereas the denominator of the exponent becomes the index, or what dictates whether the radical is a square root, cube root, etc.
EX:
[tex] {y}^{ \frac{a}{m} } = \sqrt[m]{ {y}^{a} } [/tex]
Which of the following is NOT consistent with the display shown above?
The statement that is not consistent with the display of the graphs of the z-distribution and of the z-distribution is given as follows:
The critical value for the t-distribution with this degrees of freedom will be less than 0.68.
What is shown by the graph?The graph shows two curves, given as follows:
The z-distribution curve.The t-distribution curve.The z-distribution curve is more centered around the mean, meaning that most it's sample means will be closer to the mean than for the t-distribution.
Along the tails, the t-distribution curve is higher, meaning that it has a higher percentage of sample means around the tails and a higher critical value.
The critical value of 0.68 is for values one standard deviation for the mean for the z-distribution, while for the t-distribution it is higher, hence it is the false statement.
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Topic: Simplifying Fractions
Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zeroj depending on your answer
Simplify to lowest terms and find an equivalent fraction that has a denominator of 32.
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Question : 9782
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The equivalent fraction for 12/16 will be A. 3/4, 24/32
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
It should be noted that equivalent fraction for 12/16 will be found by reduction to lowest term. This will be:
12/16 = 3/4
Also multiply the numerator and denominator by 8 will give 24/32. In conclusion, the correct option is A.
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I need help with this
Answer:
D
Step-by-step explanation:
5*1 = 5
5*2 = 10
5*3 = 15
5*4 = 20
5*5 = 25
3р-Zр-202-4(р+5)
solve inequality pls
Answer:
is there a pitcher with it
Step-by-step explanation:
Which side lengths form a right triangle?
Choose all answers that apply:
A
B
4, 8, 12
2, √/5,3
2,2, √8
Based on the Pythagorean theorem, the set of side of lengths that will form a right triangle are:
2, √5, 3
2, 2, √8
What are the Side Lengths that can Form a Right Triangle?Based on the Pythagorean theorem, any set of side lengths that will form a right triangle would have the following relationship:
b² = a² + c², where b is the longest side or the hypotenuse of the right triangle and "b and c" are the lengths of the legs of the triangle.
For side lengths, 4, 8, and 12, we have:
12² = 4² + 8²
144 = 16 + 64
144 = 80 [not true, cannot form a right triangle]
For side lengths, 2, √5, 3, we have:
3² = (√5)² + 2²
9 = 5 + 4 [true, this set will form a right triangle]
For side lengths, 2, 2, √8, we have:
(√8)² = 2² + 2²
8 = 4 + 4
8 = 8 [true, this set will form a right triangle]
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PLEASE ANSWER CLEARLY
Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour landscaping. Last week Aisha worked 2 more hours babysitting than hours landscaping and earned a total of $134. Write a system of equations that could be used to determine the number of hours Aisha worked babysitting last week and the number of hours she worked landscaping last week. Define the variables that you use to write the system.
The number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively
Step-by-step explanation:
X+3/2(-1/2x+5/3)+2=3x-1
Answer: x= 2
Step-by-step explanation:
X+3/2(-1/2x+5/3)+2=3x-1
= x - 3/4x + 15/6 +2 = 3x -1
= 1/4x + 15/6 + 2 = 3x -1
= 1/4x + 27/6 = 3x -1
= 1/4x + 33/6 = 3x
= 33/6 = 11/4 x
= x = 2
A group of friends wants to go to the amusement park. They have no more than $85 to spend on parking and admission. Parking is $9.75, and tickets cost $10.75 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.
The maximum number of individuals who can visit the amusement park is 4.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question
The number of persons who can visit the theme park will be determined by the inequality that can be used to compute x and the information provided in the question:
8 + 23(x) ≤ 100
8 + 23x ≤ 100
23x ≤ 100 - 8
23x ≤ 92
x ≤ 92/23
x ≤ 4
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Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. f(x) = 2x+x5
Therefore the given function is a polynomial function consisting of the constant 0 and the leading term 1.
What is polynomial function?A polynomial function is a function in an equation that only employs non-negative integer powers or only positive integer exponents of a variable, such as in a quadratic equation, cubic equation, etc. For instance, the polynomial 2x+5 has an exponent of 1.
Here,
Exponents are positive integers for the polynomial function given.
The positive integer 2x has an exponent of 1.
[tex]x^{5}[/tex], where is a positive integer with exponent 5, and.
Real numbers like 5 and 1 are among the coefficients in the function.
Consequently, a polynomial describes the function.
Having a degree of 5, it is a polynomial.
A polynomial is written in standard form by beginning with the term with the highest exponent and writing the remaining terms in descending order of terms with lower exponents.
Standard form for the polynomial is f(x)=2x+ [tex]x^{5}[/tex].
consisting of the constant 0 and the leading term 1.
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A recipe requires 1 1/4 cups of sugar for every 1/3 of a cup of salt. What is the unit rate of salt to sugar in the recipe?
Answer:
3 3/4 cups of sugar per cup of salt
Step-by-step explanation:
To find the unit rate of salt to sugar in the recipe, we need to divide the number of cups of sugar by the number of cups of salt. In this case, the unit rate of salt to sugar is 1 1/4 cups of sugar divided by 1/3 of a cup of salt, which can be simplified to 3 3/4 cups of sugar per cup of salt.
Answer:
The unit rate of cups per teaspoon is 1 1/3
Step-by-step explanation:
-A recipe calls for 2 by 3 cup of sugar for every 1 by 2 teaspoon of vanilla.
Based on the above information, the calculation is as follows:
=(2/3)/(1/2)
=(2/3)/(1/2)
=(2/3)x(2/1)
=(2x2)/(3x1)
=(4/3)
= 1 1/3
Twenty-five people in a survey were asked to give their current checking account balances. Use the balances shown in the following list to complete the frequency distribution table.
$220
$337
$29
$60
$201
$519
$462
$290
$131
$572
$227
$111
$124
$509
$331
$306
$439
$28
$504
$431
Fill in the missing information.
Class Intervals
Class Frequency
(Account Balances) (Number of People)
$0-$99
$431
$83
$451
$417
$341
CIP
Twenty-five people in a survey were asked to give their current checking account balances and the frequency = 4.
What is frequency and example?
The frequency of a particular data is the number of times the data value occurs. We represent the frequency of a data value by f. For example, if five students got an A in science, and then the grade A is said to have a frequency of 5.Given that;
Class intervals Class frequency
(Account Balance) (No of people)
$0 - $99 ?
Entries in this ($0 - $99) range are $29 , $60 , $28 , $83 = 4
Therefore, class frequency (no of people) = 4
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1. In a triangle∆ABC, if DE is parallel to BC, AD
DB
=
3
4
and AC = 15 cm, then the length AE is:
(a) 45 (b) 23/7 (c) 1 (d) 45/7
The length of the segment AE on the triangle is 45/7
How to determine the length of AE?From the question, we have the following parameters that can be used in our computation:
DE parallel to BC,
Also, we have
AD/DB=3/4
The above parameters mean that
AD/AB = AE/AC
Also, we know that
AB = AD + DB
From the ratio values, we have
AB = 3 + 4
Evaluate the sum
AB = 7
Updating the initial ratio, we have
AE/15 = 3/7
Multiply both sides by 15
So, we have the following representation
AE = 15 * 3/7
Evaluate the products
AE = 45/7
Hence, the length of AE is 45/7
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What is the solution to this equation
x^2+4x-12=0
Answer:
x = 2 or –6
Step-by-step explanation:
x² + 4x –12 = 0
x² +6x –2x –12 = 0
x(x + 6) –2( x + 6) = 0
(x–2)(x+6)= 0
x–2= 0
x= 2.
x+6= 0
x= –6
x = 2 or –6
A teacher gives students independent reading 1/2 time for 1 hour,three times a week.Represent the total amount of reading time for a week as a mixed number and an improper fraction.
The aggregate sum of perusing time for seven days as a blended number and an ill-advised part will be 1 ¹/₂ hour.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
An educator gives understudies free understanding 1/2 time for 1 hour, three times each week.
The aggregate sum of perusing time for seven days as a blended number and an ill-advised division is given as,
⇒ 1/2 x 3
Simplify the expression, then we have
⇒ 1/2 x 3
⇒ 3/2
⇒ 1 ¹/₂ hours
The aggregate sum of perusing time for seven days as a blended number and an ill-advised part will be 1 ¹/₂ hour.
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64 - (-2)⁵ ÷ 2³ + (-1)³ · (0.5)²
To solve this expression, we need to use the rules of order of operations, which dictate the order in which mathematical operations should be performed. The order of operations is typically abbreviated using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Using the order of operations, we can solve the expression as follows:
64 - (-2)⁵ ÷ 2³ + (-1)³ · (0.5)²
= 64 - (-2)⁵ ÷ 8 + (-1)³ · 0.25
= 64 - (-32) ÷ 8 + (-1)³ · 0.25
= 64 + 32 + (-1)³ · 0.25
= 96 + (-1)³ · 0.25
= 96 + (-1) · 0.25
= 96 - 0.25
= 95.75
Therefore, the final result of the expression is 95.75
Suppose that your unsubsidized Stafford loans plus accumulated interest total $ 35000 at the time you start repayment, the interest rate is 6% APR, and you elect the standard repayment plan of a fixed amount each month for 10 years. What is your monthly repayment?
Repayment amount =
How much will you pay in interest?
Interest paid =
a) The monthly repayment amount is $466.67.
b) The total interest paid on loan is $21,000.
How is interest on student loans computed?Interests on student loans are computed using the simple interest system, instead of compound interest.
The total interest payable is a function of the outstanding balance (principal amount plus accumulated interest) during the non-payment period, the interest rate, and the number of years of payment.
Unsubsidized Loans plus Accumulated Interest = $35,000
Interest rate (APR) = 6%
Repayment period = 120 months (10 years x 12)
Interest on the student loan = $21,000 ($35,000 x 6% x 10)
Total amount to repay for 10 years = $56,000
Monthly repayment = $466.67 ($56,000 ÷ 120)
Thus, the monthly repayment will be $466.67, which is determined by adding the total interest for 10 years to the outstanding balance and dividing the result by 120 months.
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