The choice that best describes the number of smoothies that Savannah could buy between now and the end of this month with her gift card balance is "She can buy from 0 to 7 smoothies, but no more."
How to find the number of smoothies that Savanna can buy?
Given : 40 - 4x > 10 which is an inequality
To find : The value of x
Procedure:
Step 1: Collect all the terms with x on right side and the constant terms on the left side of the greater sign.
40 - 4x > 10
When 10 is brought to the left, there will be change in sign for the number 10 and similarly, when -4x is taken to the right, it becomes +4x or simply 4x. So inequality becomes
40 - 10 > 4x
Step 2: On solving the resulting inequality, we get
30 > 4x
Divide both sides by 4. So inequality becomes
[tex]\frac{30}{4} > \frac{4x}{4}[/tex]
7.5 > x
This means, x < 7.5
The choice that best describes the number of smoothies that Savannah could buy between now and the end of this month with her gift card balance is "She can buy from 0 to 7 smoothies, but no more."
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Answer:She can buy from 0 to 7 smoothies, but no more."
Step-by-step explanation:She can buy from 0 to 7 smoothies, but no more." Which is option B
factor 2a+3+7a i need help
Answer:
3(3a+1)
Step-by-step explanation:
2a + 3 + 7a
9a + 3
3(3a + 1)
Class records at a particular college indicate that a student selected at random has probability 0.67 of passing French 101. For the student who passes French 101, the probability is 0.88 that he or she will pass French 102. What is the probability that a student selected at random will pass both French 101 and French 102?
The probability that a student passes both the tests is 0.5896.
What is conditional probability?The conditional probability deals with dependent events. In order to evaluate it, Bayes' theorem is applied which can be written as P(B|A) = P(A ∩ B)/P(A), where B|A denotes the event of occurring B when A has already happened and A ∩ B denotes the occurring of both events simultaneously.
The given problem can be solved as follows,
Suppose A be the event a student passes French 101 and B be the event that he passes French 102.
Then, as per the question the probabilities are given as,
P(A) = 0.67,
And, P(B|A) = 0.88.
Suppose, A ∩ B be the event a student passes both tests.
Apply Bayes' theorem to obtain,
P(B|A) = P(A ∩ B)/P(A)
Substitute the corresponding values in the above expression.
0.88 = P(A ∩ B)/0.67
=> P(A ∩ B) = 0.88 × 0.67
=> P(A ∩ B) = 0.5896
Hence, the probability that a student selected at random will pass both French 101 and French 102 is 0.5896.
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The temperature in Austin is 33.5 ◦F and rising at a rate of 2.5 ◦F per hour. The temperature in San Antonio is 37.5 ◦F and rising at a rate of 1.5 ◦F per hour. Write an inequality that shows how long the temperature in Austin will remain colder than that in San Antonio.
The inequality that shows how long the temperature in Austin will remain colder than that in San Antonio is 33.5 + 2.5t < 37.5 + 1.5t and the time is less than 4 hours
How to determine the inequality and the intervals ?From the question, we have the following parameters that can be used in our computation:
Austin
Initial temperature = 33.5 degrees Fahrenheit
Rate of increment = 2.5 degrees Fahrenheit
San Antonio
Initial temperature = 37.5 degrees Fahrenheit
Rate of increment = 1.5 degrees Fahrenheit
The above parameters mean that
Current temperature = Initial temperature + Rate of increment x Number of hours
Austin: A(t) = 33.5 + 2.5t
an Antonio: B(t) = 37.5 + 1.5t
When Austin is colder than San Antonio, we have
Substitute the known values in the above equation, so, we have the following representation
33.5 + 2.5t < 37.5 + 1.5t
Divide both sides by 1
t < 4
Hence, the interval is less than 4 hours
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Allie bought a tomato plant that was 16 centimeters (cm) tall. The plant is growing 1.5 centimeters per day. The height, H, of the plant can be modeled by H (d)-16+1.54,
where d represents the number of days since she bought the plant.
Select all the true statements.
OH(22) 4
OH(22)-49
O The tomato plant is 20 cm tall 22 days after Alle bought it.
O The tomato plant is 65 cm tall 22 days after Alle bought it.
O The tomato plant is 49 cm tall 22 days after Allie bought it.
O The tomato plant grows an additional 4 cm, 22 days after Allie bought it.
0
The tomato plant is 49 cm tall 22 days after Allie bought it.
What are Functions?
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is termed the domain of the function and the set Y is called the codomain of the function.
The function is H(d) = 16 + 1.5d
Since, all the options talks aabout the height of the plant after 22 days
We need to put the value of d as 22 in the function for calculating the height of the function
H(22) = 16 + 1.5(22)
H(22) = 16 + 33 = 49
The tomato plant is 49 cm tall 22 days after Allie bought it.
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In 1931, President Herbert Hoover was paid a salary of $75,000. Government statistics show a consumer price index of 15.2 for 1931 and 195 for 2005. President Hoover's 1931 salary is equivalent to what amount in 2005?
According to the given consumer price index, President Hoover's 1931 salary is equivalent to what amount in 2005 is $962,250
Consumer price index:
In math, the concept of consumer price index (CPI) is significant in the analysis of inflation.
The general form of CPI of current years is computed as
=> (GDP of current period / GDP of base period) x 100.
Given,
In 1931, President Herbert Hoover was paid a salary of $75,000. Government statistics show a consumer price index of 15.2 for 1931 and 195 for 2005.
Here we need to find the President Hoover's 1931 salary is equivalent to what amount in 2005.
Here we have the values of
=> CPI = 15.2 in 1931,
=> salary 75000;
=> CPI = 195 in 2005,
Then the salary is calculated as,
=> 75000 x (195/15.2)
=> 75000 x 12.83
=> 962250
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Simplify and state the restrictions on the domain:
Answer:
Step-by-step explanation:
First factor the left expression to get
Then cancel out .[tex]\frac{(x+3)(x+2)}{(x+4)(x+2)}*\frac{x+4}{2x}\\ \\\frac{(x+3)}{2x}[/tex]
The x+2 cancel's as well as the x+4's.
A person earned $44 a day for babysitting 6 hours. How much can the person earn by babysitting 9 hours a day, at the same hourly rate?
[tex]\begin{array}{ccll} \$&hours\\ \cline{1-2} 44 & 6\\ x& 9 \end{array} \implies \cfrac{44}{x}~~=~~\cfrac{6}{9} \\\\\\ \cfrac{ 44 }{ x } ~~=~~ \cfrac{ 2 }{ 3 }\implies 132=2x\implies \cfrac{132}{2}=x\implies 66=x[/tex]
What is the sum of the matrices shown below?
3
6 0
9
5 -2
+
6
0
-8 4
=
Answer:
Option 2
Step-by-step explanation:
[tex]\begin{bmatrix} 3+6 & 9+0 \\ 5-8 & -2+4 \end{bmatrix}=\begin{bmatrix} 9 & 9 \\ -3 & 2 \end{bmatrix}[/tex]
Answer:
(b)
Step-by-step explanation:
You want the sum of the given matrices.
Matrix sumThe sum of two matrices is the matrix of the sums of corresponding terms.
Here, we observe that we can choose the correct answer by finding the bottom right term. The sum of bottom right terms is -2+4 = 2. The only answer choice with that value at bottom right is the second answer choice.
__
Additional comment
You need to know how to work the problem, but you don't actually need to work the whole problem in order to make the correct answer choice. (This is often the case with multiple choice questions, so it pays to look before you leap.)
100 POINTS!!!! solve for x 2/3= x-1/5
Answer:
Below
Step-by-step explanation:
2/3 = x-15 Just add 15 to both sides to get
15 2/3 = x
5. In ΔA B C, if A C ≅ C B, m ∠A=3 x+18, m ∠ B=7 x- 58 , and m ∠C=2 x-8, find the measure of each angle.
x=____
m∠ A= ___
m∠ B= ___
m∠ C=___
[tex]AC \cong BC \implies \angle A \cong \angle B \\ \\ \therefore m\angle A=m\angle B \implies 3x+18=7x-58 \\ \\ \implies 18=4x-58 \\ \\ 76=4x \\ \\ \boxed{x=19} \\ \\ m\angle A=3(19)+18 \implies \boxed{m\angle A=75^{\circ}} \\ \\ m\angle A=m\angle B \implies \boxed{m\angle B=75^{\circ}} \\ \\ m\angle C=180^{\circ}-m\angle A-m\angle B \implies \boxed{m\angle C=30^{\circ}}[/tex]
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Click on the measure of the angle.
A. 34
B. 144
C. 36
D.146
the Answer is: 34
explanat
4. Draw a coordinate grid from -10 to 10 on both axes. Using table of the same grid.
(i) y=x-4
(ii) y=2 x-4
(iii) y=3 x-4
The linear functions for this problem are graphed on the image given at the end of the answer.
How to graph the linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope, representing by how much y changes when x is increased by one.y is the intercept, representing the value of y of the function when it's graph crosses the y-axis.Hence the functions in this problem are graphed as follows:
y = x - 4: when x = 0, y = -4, when x increases by one, y increases by one.y = 2x - 4: when x = 0, y = -4, when x increases by one, y increases by two.y = 3x - 4: when x = 0, y = -4, when x increases by one, y increases by three.More can be learned about linear functions at https://brainly.com/question/24808124
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Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.
We know these things about a polynomial function, f(x): it has exactly one relative maximum and one relative minimum, it has exactly three zeros, and it has a known factor of (x - 4). Sketch a graph of f(x) given this information.
A graph with three zeros, one of which is at x = 4, will resemble the one below.
Describe the polynomial function?A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non-negative integer powers or only positive integer exponents of a variable. A polynomial with an exponent of 1 is, for instance, 2x+5.
Minimum and Maximum?
The extrema of a function are known as its maximum and minimum. The highest and smallest values of a function within the predetermined set of ranges are known as maxima and minima. The largest value of the function under the full range is referred to as the absolute maxima, while the least value is referred to as the absolute minima.
If the function has three zeros with one relative maximum and one relative minimum, it could be a cubic equation.
If it has a factor of x - 4, the graph crosses the x-axis at (4,0).
Your graph might look like the one below.
It has three zeros, one of which is at x = 4, and a local maximum and minimum.
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in the multiplication example shown different letters represent different digits find the value of a and of b
You forgot the question
let f(x)=8x and g(x)=8^x+5 +1 which transformations are needed to transform the graph of f(x) to the graph of g(x)
Select each correct answer.
vertical translation 1 unit up
horizontal translation 1 unit left
vertical translation 5 units up
horizontal translation 5 units night.
horizontal translation 5 units left
vertical translation 1 unit down
Transformation involves changing the form of a function. The transformations are:
vertical translation 1 unit up .
horizontal translation 5 units left.
The functions are given as:
f(x) = 8x
g(x) = [tex]8^{x+5}[/tex] + 1
Start by translating the function 5 units left.
The rule of this translation is:
f'(x) = f(x+5)
So, we have:
f'(x) = 8(x+5)
Next, translate the function 1 unit up
The rule of this translation is:
f"(x) = f'(x) + 1
∴ f"(x) = 8(x+5) + 1
Rewrite as:
g(x) = 8(x+5) + 1
Hence, the transformations are: vertical translation 1 unit up and horizontal translation 5 units left
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Transformation involves changing the form of a function. The transformations are:
Vertical translation 1 unit up Horizontal translation 5 units leftWhat are transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
The functions are given as:
f(x) = 8x
g(x) = + 1
Start by translating the function 5 units left.
The rule of this translation is:
f'(x) = f(x+5)
So, we have:
f'(x) = 8(x+5)
Next, translate the function 1 unit up
The rule of this translation is:
f"(x) = f'(x) + 1
∴ f"(x) = 8(x+5) + 1
Rewrite as:
g(x) = 8(x+5) + 1
Hence, the transformations are: vertical translation 1 unit up and horizontal translation 5 units left
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Help me thank u very kuchhh
Answer: see below
Step-by-step explanation:
slope intercept form
y=mx+b
m=slope
The first question:-5/2 is the sloop
second question: 5/2 is the sloop
one effective way to protect my bank account is to suspend my account logon if i fail to provide the correct password in 44 trials.False
Phishing is when a hacker impersonating a reliable entity sends you a phony email in the hopes that you will voluntarily divulge your personal information.
What is phishing?Phishing is a type of social engineering in which an attacker sends a false (for example, spoofed, phony, or other deceptive) communication with the goal of tricking a person into providing the attacker with vital information[1] or to install harmful software, such as ransomware, on the victim's infrastructure.
Phishing attacks are becoming more and more sophisticated, and they frequently transparently mirror the site that is being attacked, allowing the attacker to see everything the victim does there and to get past any further security measures with them.
[] According to the FBI's Internet Crime Complaint Center, which tracks more phishing incidents than any other type of computer crime combined, phishing attacks will be by far the most common type of hacker attack through 2020. []
For the first time, the term "phishing" was employed.
Hence, Phishing is when a hacker impersonating a reliable entity sends you a phony email in the hopes that you will voluntarily divulge your personal information.
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4x – 22 = -14 pls help again
Answer:
x = 2
Step-by-step explanation:
Given equation,
→ 4x - 22 = -14
Now the value of x will be,
→ 4x - 22 = -14
→ 4x = -14 + 22
→ 4x = 8
→ x = 8/4
→ [ x = 2 ]
Hence, the value of x is 2.
An unbiased die is tossed. Find the probability that the number
obtained is
(c) Greater than 6
(a) An event number (b) Less than 4
Step-by-step explanation:
greater than 6=0 cause no number on a dice is greater than six
an even number=1/2
less than 4=1/2
help meeeeeeeeeee pleaseee
The pressure of 28 inches of mercury occurs about 6 miles from the eye of the hurricane. We get this from the given algebraic expression.
What is an expression?An expression is formed by variables, constants, and algebraic operations. Since the operation among them is an algebraic or arithmetic operation, it is said to be an algebraic expression.
Calculation:It is given that the algebraic expression that relates the barometric pressure and the eye of the hurricane as
f(x) = 0.48 ln(x+2) + 27
Here x is the distance in miles from the eye of the hurricane.
f(x) is the pressure of the mercury in a barometer in inches
So, the required distance from the eye of the hurricane when the pressure of 28 inches of mercury in the meter is
(Here f(x) = 28)
f(x) = 0.48 ln(x+2) + 27
⇒ 28 = 0.48 ln(x+2) + 27
⇒ 0.48 ln(x+2) = 28 - 27
⇒ ln (x+2) = 1/0.48
⇒ ln(x+2) = 2.0833
Applying exponential base "e" on both sides, we get
(x+2) = [tex]e^{2.0833}[/tex]
⇒ x + 2 = 8.0309
⇒ x = 8.0309 - 2 = 6.0309
When the result is rounded to the nearest whole number, we get x = 6 miles.
Thus, for the pressure of 28 inches of mercury, the eye of the hurricane is 6 miles far from the barometer.
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Noble Crown Books sells books including those
from the Bestseller List for substantially lower
prices than most book stores. To buy from them
however, one must have a membership which costs
$25. The average book cost turns out to be only
$12.47. The equation b= 12.47a+ 25 represents
the amount of money b a member will have spent
after buying a number of books. If Alex intends
to spend no more than $110 on books this year.
how many books can he buy from Noble Crown
Books during the year?
A. 6 books
C. 9 books
B. 8 books
D. 10 books
Solve the following matrix equations.
(a) 2X=(-4 0 8)
(b) 3 X-(1 7)=(-16 -4)
The solution to the matrix equations A and B are X = (-2 0 4) and X = (-5 1)
How to determine the solution to the matrix equations?From the question, we have the following parameters that can be used in our computation:
(a) 2X=(-4 0 8)(b) 3 X-(1 7)=(-16 -4)Solving matrix A, we have the following representations
2X=(-4 0 8)
Rewrite the equation properly
So, we have
2X = (-4 0 8)
Divide through the matrix by 2
This gives
X = (-2 0 4)
Solving matrix B, we have the following representations
3 X-(1 7)=(-16 -4)
Rewrite the equation properly
So, we have
3X - (1 7) = (-16 -4)
Add (1 7) to both sides of the equation
This gives
3X = (-15 3)
Divide through the matrix by 3
This gives
X = (-5 1)
Hence, the solutions are X = (-2 0 4) and X = (-5 1)
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what is the solution set for this inequality? -5x+30 >-10
By solving linear inequation, it can be calculated that
x < 8 is the solution of the inequality -5x+30 >-10
What is linear inequation?
At first, it is important to know about algebraic expression.
Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.
Now, algebraic expressions are of different types. They are-
Monomial, Binomial and trinomial.
Algebraic expression with only one term is called monomial
Algebraic expression with two terms are called binomial
Algebraic expressions with three terms are called trinomial.
Algebraic expressions with more than three terms are called polynomial.
Based on degree, algebraic expression may be called as linear, quadratic, cubic and so on
Algebraic expression of degree one is called linear
Algebraic expression of degree two is called quadratic
Algebraic expression of degree one is called cubic
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >,<, ≥, ≤
A one degree inequation is known as linear inequation.
Here the given inequality is-
-5x+30 >-10
Now,
-5x + 30 > -10
-5x > -10 - 30
-5x > -40
x < [tex]\frac{-40}{-5}[/tex]
x < 8
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7/3a-8/5+4/15a so all of them are fractions and "a" is a variebal.
Answer:
[tex]\frac{39}{15}[/tex] a - [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
Frist combine your like terms
[tex]\frac{7}{3}[/tex] a + [tex]\frac{4}{15}[/tex] a The common denominator will be 15
[tex]\frac{35}{15}[/tex] a+ [tex]\frac{4}{15}[/tex] a= [tex]\frac{39}{15}[/tex]a
You cannot combine this with [tex]\frac{8}{5}[/tex] because these are not like terms.
Match the statement with the property it illustrates.
1. ∠ B=∠aD
2. If FO=N N, then RS=1 E E
3. If m ∠A=m∠B and m∠A=m∠C, then m∠A=m ∠ C F
4. If MN=DP and OP=OP, then MN=OK C
5. m<1-m<1 B
6. If m ∠3=m<4, then m∠4=m∠ 3. A
A. Meflexive Proprivy of Tquality
B. Bymenetre Pruperty of Hlquality
Q. Transitive Properiy of Elqualiry
ix. Reflexives Property of Congruence
F. Symmetric Property of Congruence.
f. Transitive Property of Congruence
Name the property that the statement illustrates.
7. If m ∠ 1=m ∠2, then m∠ 1-m ∠ 3=m∠2-m ∠ 3.
8. If K L=P Q, then 2, K L=2 . PQ.
9. If m ∠ A=m ∠ C, then m∠ A+m ∠D=m ∠ C+m ∠D.
10. If x y=5, then xy/3=5/3.
11. If m∠ 2=90° and m∠3=m∠2+44°, then m∠ 3=90°+44°.
12. In the diagram at the right, M is the midpoint of EF. Complete the argument to show that E M=1/2 EF.
E M =M F Definition of ?
E M+M F =E F ? ? Postulate
E M+E M =E F ? Property of Equality
2 . E M =E F Distributive property
E M =1/2 E F ? Property of Equality
13. In the diagram, m∠1+m ∠ 2=98°, and m ∠ 1=42°. Complete the argument to show that m∠2=56°.
m ∠1+m ∠ 2 =98° Given
m ∠1 =42° Given
42°+m∠2 =98° -?
m∠2 =56° ?
Value of AB = 9 units by using property of equality according to given equation.
What is a line?
In pure mathematics, a line is associate infinitely long object with no dimension, depth, or curvature. Thus, lines ar one-dimensional objects, although they'll exist in 2, three, or higher dimension areas. The word line might also see a line section in existence, that has 2 points to denote its ends.
Main body:
Question 12
According to question,
AB +BC = 12
BC= 3
therefore,
AB + 3 = 12
AB = 9 -------( by using property of equality)
Hence value of AB = 9 units.
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10
The box-and-whisker plot below shows the distribution of the numbers of calories per serving for a selection of breakfast
cereals.
Breakfast Cereal Calories per Serving
50 65 80 95 110 125 140 155 170 185 200
Based on the box-and-whisker plot, what is the median number of calories per serving for the breakfast cereals?
110
B 120
125
135
The 125 is the median number of calories per serving for the breakfast cereals.
What is median?
The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data set more accurately than the average does. It represents the midpoint of the data because it is the point above and below which half (50%) of the observed data falls.
Given:
The box-and-whisker plot below shows the distribution of the numbers of calories per serving for a selection of breakfast cereals.
We have to find the median.
Since median is the middle most number of the given list of numbers.
In the given list there are 11 numbers.
The middle most number is occur at 5th number.
The number on 5th place is 125.
Hence, the 125 is the median number of calories per serving for the breakfast cereals.
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A. ∠F≅ ∠B and AC ≅DC
B. BC≅ FC
C. Nothing else is needed to use the HL theorem.
Answer:
B. [tex]BC \cong FC[/tex]
Step-by-step explanation:
For triangles to be congruent by HL, the hypotenuses must be congruent.
find the x- and y- intercepts
Answer:
(8, 0) and (0, 4)
Step-by-step explanation:
x-intercepts occur when y = 0, so just find the row in the table when y is 0, and then put the coordinates from that row into a ordered pair:
(8, 0)
y-intercepts occur when x = 0, so just find the row in the table when x is 0, and then put the coordinates from that row into a ordered pair:
(0, 4)
help meeeeeeeeeee pleaseee
Step-by-step explanation:
a.
correct, the population was 18.5 million in 2000.
why ?
t = years after 2000.
so, if the year is 2000, t = 0.
A(0) = 18.5e^(0.1708 × 0)
you remember, a⁰ = 1 for any a.
so,
A(0) = 18.5×e⁰ = 18.5×1 = 18.5 million.
b.
we need to find the value of t for which A(t) = 26.6.
26.6 = 18.5e^(0.1708 × t)
26.6/18.5 = e^(0.1708 × t)
ln(26.6/18.5) = 0.1708 × t
t = ln(26.6/18.5)/0.1708 = 2.126115244... years
≈ 2 years
2 years after 2000 is 2002.
it will reach 26.6 million in the year 2002.