If a boy grows 5 inches, he will be one half a tall as his sister , his sister is 68 inches tall. So the height of the boy is 29 inches
What is division?In mathematics, the opposite of multiplication is the process called division. Finding the number of times one quantity is included within another is the procedure. The letters "/" or "" are typically used to denote this. For instance, 8 boys divided by 2 may be expressed as 8/2 or 82. The outcome in this situation would be 4, which is the quantity that 2 may be found in 8 times. The quotient, or outcome of the division, and the remainder, or quantity remaining after dividing, may both be found using division. Calculus, algebra, geometry, and other branches of mathematics all make use of the crucial mathematical notion of division.
How to solve?
If the boy grows 5 inches, he will be 68/2 =34 inches tall
The boy's current height is 34 - 5 = 29 inches
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Help me plssssssssssssssssssss
Answer:
Yes, point (2,4) satisfies the system of inequalities.
Step-by-step explanation:
The area of the graph that is the darkest contains all points that satisfy both inequalities. See the attached worksheet for further explanation of the graph and other colors.
divide 4x^3 -x^2 +x - 5 by x^2 +x -1
Answer: 4x^3+1
Step-by-step explanation:
Patrick borrows $1400 from a bank with 10% simple interest each year. How much will patrick need to pay back in total in 2 years?.
Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280.
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) 100
Given data ,
Let the principal amount be = A
The value of A = $ 1400
Let the rate of interest be = r
The value of r = 10 %
Let the number of years = T
The value of T = 2 years
Now , the simple interest is calculated by the formula
Simple Interest = ( Principal Amount x Rate x Time Period ) 100
Substituting the values in the equation , we get
Simple Interest = ( 1400 x 10 x 2 ) / 100
Simple Interest = 14 x 20
Simple Interest = $ 280
Therefore , the simple interest in 2 years is $ 280
And , the total amount Patrick has to give back to the bank is given by the formula
Amount in 2 years = Principal + Interest
Amount in 2 years = 1400 + 280
Amount in 2 years = $ 1680
Therefore , the amount in 2 years is $ 1680
Hence , Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280
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three sides of a triangle are 3, radical7, and 4. Is the triangle acute, right or obtuse?
Answer: To determine whether a triangle is acute, right, or obtuse, we need to compare the lengths of its sides to the measure of its angles. The triangle is acute if all three angles measure less than 90 degrees, it is right if one angle measures exactly 90 degrees, and it is obtuse if one angle measures more than 90 degrees.
In the case of a triangle with sides 3, radical7, and 4, we can use the Pythagorean theorem to find the measure of its angles. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Since we know that one side of the triangle has length 4, and another side has length radical7, we can use the theorem to find the length of the third side, which is the hypotenuse. We can write this as an equation: 4^2 + radical7^2 = x^2, where x is the length of the hypotenuse. Solving for x, we get x = 5.
Since the length of the hypotenuse is 5, and one of the other sides has length 4, we can conclude that this triangle is a right triangle. Therefore, the triangle is a right triangle and not acute or obtuse.
Which of the correlation values represent a perfect linear relationship between x and y?
A) .05
B) 1
C) 100
D) -1
E) 0
The correlation values for the perfect linear relationship is option (b) 1 and (d) -1.
Correlation:
Correlation refers the measure that determines the degree to which the movement of two different variables is associated.
Given,
Here we need to find the perfect correlation values that represent the perfect linear relationship between x and y.
Here we know that the perfect linear relationship is indicated by a correlation with a magnitude of 1.
Then the sign of the correlation coefficient is the sign of the slope of the line describing the relationship. And it may be positive or negative.
Therefore, the value -1 and 1 are the perfect values for this one.
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if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120
The number q is an odd number
The median of q consecutive integers = 120
Consider the q = 3
Then three consecutive integers will be 119, 120, 121
The largest number = 121
Substitute the value of q in each options
Option A
(q-1) / 2 + 120
Substitute the value of q
(3-1)/2 + 120
Subtract the terms
=2/2 + 120
Divide the terms
= 1 + 120
= 121
Therefore, largest of these integers is (q-1) / 2 + 120
I have answered the question in general, as the given question is incomplete
The complete question is
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
a) (q-1) / 2 + 120
b) q/2 + 119
c) q/2 + 120
d) (q+119)/2
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Determine whether the Law of Sines or Law of Cosines is the best choice to solve for
the missing dimension for the given figure. Substitute the values into the appropriate
formula and solve for x.
X
26.43
21.35
82.42
49.09
Answer:
Hi use the sine rule: answer: 26.43
Step-by-step explanation:
Triangle ABC is shown in the xy-coordinate plane. The triangle will be translated 2 units down and 3 units right to create triangle A'B'C'. Indicate whether each of the listed parts of the image will or will not be the same as the corresponding part in the preimage (triangle ABC) by selecting the appropriate box in the table.
The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given translation,
2 units down and 3 units right
The coordinate will change as,(x,y) → (x+3,y-2) so it will change.
The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.
The slope and angle are unchanged irrespective of any transformation.
Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".
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The ratio of yellow cars to purple cars in a
car park is 97: 63.
Rewrite this as an equivalent ratio of the
form n : 1.
Give any decimals in your answer to
2 d.p.
Answer:
1.54 : 1
Step-by-step explanation:
See photo attached. Hope this helps
The equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.
What is Ratio?A ratio is a mathematical comparison between two or more quantities or values. It expresses the relative sizes or amounts of different quantities and is typically represented in the form of a fraction or a colon (:).
The greatest common divisor (GCD) of 97 and 63 is 1, which means they have no common factors other than 1.
Therefore, we can write the ratio of yellow cars to purple cars as: 97:63
Since we need to write it in the form of n:1, we can divide both sides of the ratio by 63 (the smaller number in the ratio):
= 97/63 : 63/63
= 97/63 : 1
= 1.54 : 1
So, the equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.
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Which of the following choices is not a name for the given figure?
The name [tex]\overline{B}[/tex] does not represent a name of the given figure.
What is a line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.
In the figure A and B are two points on the line m.
The line can represent by the symbol [tex]\overline{BA}[/tex].
The line can represent by the name line m.
The line extended on both side of the points A and B.
The given figure can be represented by the symbol [tex]\overleftrightarrow{AB}[/tex].
But B is a point on the line. Using the point B, the line can not represent.
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................................................
Answer:
.........................................
Step-by-step explanation:
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What is the LCM of 10, 20 and 35
What is the lcm
Guadalupe has 15 cups of dough to make dumplings. If she uses 3/4 cup of dough for each dumpling, how many dumplings can Guadalupe make?
Answer: she can make 20 dumplings.
Step-by-step explanation:
15 divided by 3/4 (15/.75) = 20
The perimeter of a rectangle is 66cm.
Its longest side has a length of 17cm.
State the length of the shortest side.
[tex]{ \red{\boxed{ \tt{Step-by-step-explaination}}}}[/tex]
Perimeter of a rectangle : [tex]{ \purple{ \tt{2(l+b)}}}[/tex]
length = [tex]{ \red{ \tt{17cm}}}[/tex]
breadth= [tex]{ \red{ \tt{?}}}[/tex]
now,
according to the rule.
perimeter = 2(l+b)
66 = 2(17+b)
66 = 34 + 2b
66 - 34 = 2b
32 = 2b
32/2 = b
16 cm = b
hence b = [tex]{ \pink{ \sf{16cm}}}[/tex]
The urface area of a three-dimenional object i the um of the area of the face. If repreent the length of the ide of a cube, write a formula for the urface area S of the cube
A Formula for the Surface area of the cube is 6a².
A cube is a three-dimensional solid with six square faces, facets, or sides, three of which meet at each vertex in geometry. It looks like a hexagon from the corner, and its net usually looks like a cross. One of the five Platonic solids, the cube is the only regular hexahedron.
The sum of the areas on each face of the cube that covers it is the cube's surface area. The formula for surface area is six times the cube's length divided by the square of that number. It is denoted by 6a², where a is the cube's side length. It basically refers to the entire surface area.
area of one face = a² [By area of square formula]
There are six faces altogether. Therefore,
TSA (total surface area) of cube = S = a² + a²+ a² + a² + a² +a²
S = 6a²
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(complete question)
The surface area of a three-dimensional object is the sum of the area of the faces. If a represent the length of the side of a cube, write a formula for the surface area S of the cube.
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.
What is the area of the rug? (Use 3.14 for .)
By using the formula of circumference and area of circle, it can be calculated that-
Area of the rug = 379.94 sq. inches
What is area and circumference of a circle?
Area of a circle is the total space taken by the circle.
If r is the radius of the circle, then area of the circle is calculated by the formula
Area = [tex]\pi r^2[/tex]
Circumference of a circle is the length of the boundary of a circle
If r is the radius of a circle, then circumference of a circle is calculated by the formula
Circumference = 2[tex]\pi[/tex]r
Let the radius of the rug be r inches
Circumference = [tex]2 \times \pi \times r[/tex] inches
= 2 [tex]\times[/tex] 3.14 [tex]\times[/tex] r
= 6.28 r
By the problem,
6.28 r = 69.08
r = [tex]\frac{69.08}{6.28}\\[/tex]
r = 11 inches
Area of the rug = 3.14 [tex]\times[/tex] 11 [tex]\times[/tex] 11
= 379.94 sq. inches
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TWO PART QUESTION NEED! :)))
You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.
Use the compound interest formula:A = P(1 + r/n) ^nt to give:
a. The future value in 4 years.
b. The interest gained in 4 years.
Future value in four years is $1060.30 and Interest gained in four years is 560.30.
Define compound interest.Compound interest is interest that builds up over a set length of time on both principal and interest. The principal is also used to account for the interest that has accrued on a principal over time. Furthermore, the accumulated principal value is used to calculate interest for the subsequent time period. The new way of calculating interest now utilized in all international financial and commercial operations is known as compound interest. When we look at the compound interest values that have built over successive time periods, the power of compounding is clearly apparent.
Given
You decide to invest $500 into a 4-year CD that pays 2.85% interest compounded monthly
Compound interest
A = P( 1+ r/n)^nt
Interest gained in 4 years
A = 500( 1+ 0.0285/12)^(12)(4)
A = 500( 1 + 0.002375) ^48
A = 560.30
Future value in 4 years = $500 + $560.30
Future value in 4 years = $1060.30
Future value in four years is $1060.30 and Interest gained in four years is 560.30.
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If you place these marbles in a bag close your eyes and choose a marble what is the probability That it will be yellow
Answer:
Step-by-step explanation: You have 14 and 5 are yellow so 5/14.
A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which component?.
Answer: The Seasonal? brainleist if im right
Step-by-step explanation:
Add. Write the answer in standard form (6-1)+(7+3t)
Answer:
Step-by-step explanation:
12 + 3t
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. what is another way to represent this solution set?
a. (–[infinity] , two-thirds]
b. (–[infinity] , two-thirds)
c. (two-thirds, [infinity])
d. [two-thirds, [infinity])
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}.
option c. (two-thirds, [infinity]) is the correct option
What exactly is set builder notation?The set-builder notation can also be used to express sets using an interval or an equation. It is common practise for sets with an unlimited number of elements to write and represent their elements in this way. This makes use of a variable (or several) that fit under the group of typical numerical kinds, such as integers, real numbers, and natural numbers.
What is roster notation?The roster notation is a convenient way to express sets mathematically. Within the curly braces of the roster form, the elements (or members) of a set are listed in a row. In a roster notation, a comma is used to indicate the separation of every two elements when the set contains more than one element.
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If p=3 and q=5 find p+q+2
Answer:
= 10
Step-by-step explanation:
p+q+2 = 3 + 5 + 2 = 10
Answer:
10
Step-by-step explanation:
3 + 5 + 2 = 10
What is the slope of the line that passes through the points (1, -6)
and (-2, 8)? Write your answer in simplest form.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{8 +6}{-3} \implies \cfrac{ 14 }{ -3 } \implies - \cfrac{14 }{ 3 }[/tex]
a confidence interval for a proportion ranges from 0.45 to 0.74. what is the margin of error for this confidence interval?
The margin of error for this confidence interval is 0.145.
Given :
a confidence interval for a proportion ranges from 0.45 to 0.74.
Confidence interval :
A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times
Margin of error :
Margin of error, also called confidence interval, tells you how much you can expect your survey results to reflect the views from the overall population.
Length of confidence interval = 0.74 - 0.45
= 0.29
we know that,
Margin of error = 1/2 * length of confidence interval.
= 1/2 * 0.29
= 0.29/2
= 0.145
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Ms. D'Amico bought a car with a 20% down payment, which was 5,750. She will finance the rest of the car payments. What was the price of the car?
Answer:
$28,750
Step-by-step explanation:
To find the price of the car, you need to use the following formula:
price of the car = down payment / (down payment percentage / 100)
Plugging in the given values, you get:
price of the car = 5,750 / (20 / 100)
Simplifying the expression, you get:
price of the car = 5,750 / 0.2
The price of the car is therefore 28,750.
Which ordered pairs lie on the graph of the exponential function ƒ(x) = 5 (1/2) ^x
someone help me solve this
y= x-2
Answer:
See below.
Step-by-step explanation:
There is nothing to solve without some additional information. Does the problem state what is to be done, or does it contain any information on the values of x or y? For example:
1) Rearrange for x:
y= x-2
x = y+2
2) What is the value of x if y is 3?
y= x-2
(3)= x-2
x = 5
$55 is what percent of $55?
100%
Step-by-step explanation:$55 = $55. Or in other terms:
100% = 100%
$55 is the maximum number of the problem, which would be 100%. So, they are asking what the maximum is. Which is 100%.
Solution:100%
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
Answer: %100
Step-by-step explanation:
55 is the number you are using and the highest number is 55 so it will be %100
Complete the similarity statement for the two quadrilaterals
given.
Enter your answer in the box.
quadrilateral PGY X ~ quadrilateral
Answer: loll ok so yes
Step-by-step explanation:
If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination.
Answer:
11 days
Step-by-step explanation:
y=24x+61
y=20x+105
(don't think I can solve this with elimination because there is no coefficient with a y-value.)
When looking for the interception you look for the point where both lines intercept. I graphed both equations online and looked for the point where they intercept, which is (11,325) meaning that in 11 days, both places will cost 325 dollars when you rent a car.
( I also looked for a calculator online that is especially used to find the interception between two points and it gave the same point, if wrong...I'm sorry)