The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
What is percentage of a number?Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,
x=$80×5
x=$400
Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,
[tex]\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250[/tex]
Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
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Which picture shows 1/4?
Answer:
The bottom left picture is the answer. It contains 4 equally sized parts and only has 1 shaded part, so that's 1 shaded part / 4 parts, or 1/4. The top left picture have 5 parts instead of 4 (1/5), the parts in the top right picture aren't equally sized, and the bottom right picture has 2 parts shaded instead of 1 (1/2)
Hope this helps!
Answer:
1
Step-by-step explanation:
because in 1 there is 1 dark box and 4 light box while others are irregular
What is the domain and range for the following function and its inverse?
Answer:
I have recently learned about this and maybe I could help you if you have given the function but also let explain it.
Step-by-step explanation:
Domain is also known as pre image and also 'x' I.e first element.
Range is also known image and also y I.e second element .
And about inverse we just have to write second element at first and first element at second.
Hope it helps
The volume of a cylinder is 1,600pie cubic centimeters.the height is 16 centimeters.what is the radius of the cylinder?
Answer:
Radius = 10
Step-by-step explanation:
Volume of a cylinder=πr^2h
1600πcm^3=πxr^2x16
π cancels out
1600=r^2x16
1600/16=r^2
100=r^2
√100=r
r=10
i ready 3 5/3 x (-8 1/3)=
Answer:
-350/9 (improper fraction)
-38 8/9 (mixed number)
Step-by-step explanation:
Converting to improper fractions :
3 5/33 x 3/3 + 5/39/3 + 5/314/32. -8 1/3
-(8 x 3/3 + 1/3)-(24/3 + 1/3)-25/3Multiplying them :
14/3 x -25/3-350/9 (improper fraction)-38 8/9 (mixed number)Answer:
[tex]-38 \frac{8}{9}[/tex]
Step-by-step explanation:
[tex]3 \frac{5}{3} \times -8 \frac{1}{3}[/tex]
Convert to improper fractions:
[tex]\implies \dfrac{3 \times 3 +5}{3} \times -\dfrac{8 \times 3 +1}{3}[/tex]
[tex]\implies \dfrac{14}{3} \times -\dfrac{25}{3}[/tex]
Multiply the numerators and denominators:
[tex]\implies \dfrac {14 \times (-25)}{3 \times 3}[/tex]
[tex]\implies -\dfrac{350}{9}[/tex]
Convert back into a mixed number:
[tex]\implies -38 \frac{8}{9}[/tex]
a bookstore carries 50 magazines. 34% of the magazines are womens magazines. how many woman’s magazines does the bookstore carry?
Answer:
50 * 34%
50 * 34/100
34 / 2 = 17
A triangle has sides with lengths of 8 meters, 12 meters, and 13 meters. is it a right triangle?
yes or no ?
Answer:
no
Step-by-step explanation:
sides of right triangle are in Pythagorean Theory ex 3,4,5 or 5,12,13 0r 8,15,17
A grocery store has advertised a sale on ice cream. Each carton of any flavor of ice cream costs $5.25
A. If Millie buys one carton of strawberry ice cream and one carton of chocolate ice cream, write a
algebraic expression that represents the total cost of buying the ice cream.
B. Write an equivalent expression for your answer in part (a).
C. Explain how the expressions are equivalent.
Each carton of any flavour costs same
THE COST IS $5.25so
Total cartons:-
One strawberry+One chocolate2Total cost
2(5.25)$10.56. Clark wants to transform a shape on the
coordinate plane by using a rigid transformation.
Of the choices below, list any that Clark can use.
I.
Dilation
II. Rotation
III. Translation
IV. Reflection
DIRECTIONS: Use the numbers 0 through 9 (once and only once) in each blank space. Your goal is to form a way to say the target number.
The answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The target number is 54
= 9×6 = 54
= 8×7 - 02
= 5×7 + 19
= 27×2 = 54
Thus, the answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.
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Line segment SU is dilated to create S'U' using point Q as the center of dilation.
The scale factor of the dilation is:
If a point divides any line segment into two equal parts, then the point is the mid-point of that line. The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
To find the scale factor of the dilation, we need to find the ratio from initial point of the line segment to the distance from the point that is lie on that line segment.
Following points can be concluded from the given conditions.
It is shown in the figure that the distance from Q to S is 4 unit, and the distance from Q to S' is 8 unit.The distance from Q to U is 5 unit and the distance from Q to U' is 10 unit.U and S both are the mid-points of the line segment QU' and QS' respectively.The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
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36.4 divided by 109 1/5
Answer:
0.33
Step-by-step explanation:
36.4 divided by 109 1/5 is 0.33.
Given f(x)=x^2, write the equation of the transformed function if g(x)=f(x-1)
Answer:
1. g(x) = (x - 1)²; translation of 1 unit to the right.
2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.
Step-by-step explanation:
1.
f(x) = x²
g(x) = f(x - 1)
g(x) = (x - 1)²
Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.
2.
f(x) = 3^x
g(x) = f(x + 1) - 2
g(x) = 3^(x + 1) - 2
Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.
With the metal detector we find 70 Roman coins underground,30 are Etruscan,15 are Greek. What is the probability ,that I draw a Greek coin?
Answer:
30*100/70= 42.85% chances that you will draw a Etruscan coin and same way 42.85-100= 57%
Answer:
3/23
Step-by-step explanation:
Probability (Greek) :
Number of Greek coins / Total coins15 / 70 + 30 + 1515/1153/23can someone help me with this?
Answer:
45
Step-by-step explanation:
We know that B is 90 because its a right angle, and in that triangle it has to add up to 180
So 180 - 90 = 90
90 ÷ 2 = 45
And thats a right angled triangle so it has a right angle and two equal angles.
Hope it helps :))
David currently earns $25.00 per hour. He receives a 5% raise each year. He
wants to know how many years it will be until he is earning more than $30.00
per hour.
Answer:
4 years
Step-by-step explanation:
30 = 25 ( 1.05)^n
1.2 = 1.05^n
log 1.2 / log 1.05 = n years = 3.73 ~ 4 years
Unit test
Complete the point-slope equation of the line through (2, 3) and (7, 4).
Use exact numbers.
y
Answer:
y - 4 = 1/5(x-7)
Step-by-step explanation:
Find slope:
4-3 / 7-2
1 / 5
y - y1 = m(x-x1)
y - 4 = 1/5(x-7)
mark brainliest pls
Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).
Answer:
See below ~
Step-by-step explanation:
Let :
x = people donating $15 when you runy = people donating $25 when you runTwo inequalities created are :
15x + 25y ≥ 15003x + 5y ≥ 300 [Simplified] ⇒ Inequality 1x + y ≤ 100 ⇒ Inequality 2Solving
Let the people paying $15 be "x" and $25 be "y"
1st inequality
15(x) + 25(x) ⩾ $1500
2nd inequality
x + y ≤ 100
what is the difference between -4-(-13)
Answer:
9
Step-by-step explanation:
- 4 - ( - 13 )
= - 4 + 13
= 13 - 4
= 9
Find the mass of a thin triangular plate bounded by the coordinate axes and the line if
The mass of a thin triangular plate bounded by the coordinate axes is 3 3/4.
How to calculate the mass?It should be noted that mass simply means a quantity of matter that's in a body. It's the meaure of the inertia in the body.
In this case, from the complete question, the mass will be:
= 3/1000[1/24x⁴ - 25x² + 1000/3x]
= 15/4
= 3 3/4
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For her 16th birthday party Patriot got a birthday cake with a radius of 10 centimeters. her dad cut her a slice of cake with a central angle of 20 degrees.
A. convert the angle measure of Patty's slice to radians.
B. find the area of Patty's slice of cake Leave your answer interms of pie.
C. Find the perimeter of Patty's slice of cake.
Answer:
Part A
To convert degrees to radians, multiply the given value by π/180°.
[tex]\begin{aligned}\implies 20^{\circ} & =20^{\circ} \times \dfrac{\pi}{180^{\circ}} \: \sf rad\\ & =\dfrac{1}{9} \pi \: \sf rad\end{aligned}[/tex]
Part B
Given:
r = 10 cm[tex]\theta=\dfrac{1}{9} \pi[/tex][tex]\begin{aligned}\textsf{Area of a sector of a circle} & =\dfrac12 r^2 \theta\\\\\implies \textsf{Area of slice of cake} & =\dfrac{1}{2} \cdot 10^2 \cdot \dfrac{1}{9} \pi\\\\& = \dfrac{50}{9} \pi \: \sf cm^2\end{aligned}[/tex]
Part C
Given:
r = 10 cm[tex]\theta=\dfrac{1}{9} \pi[/tex][tex]\begin{aligned}\textsf{Perimeter} & = 2r + \textsf{arc length}\\& = 2r + r \theta \\& = 2(10)+10\left(\dfrac{1}{9} \pi \right) \\& = 20 + \dfrac{10}{9} \pi \\& = 23.4906585\\& = 23.5\: \sf cm \:(1 \:dp)\end{aligned}[/tex]
A ticket resale service sells sports championship tickets at a markup of 250%. If a ticket originally costs $150, how much does the resale service charge after adding its markup to the price?
Find the surface area of the rectangular prism
Answer:
82 inches squared
Step-by-step explanation:
7*3*2 = 42
7*2*2 = 28
3*2*2 = 12
42 + 28 + 12 = 82
To put money into a savings account, CDs, and stocks is to
A. be risk-adverse
B. invest
OC. secure assets
OD. diversity
A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
a) Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
b) Find a sinusoidal function for the height h(t).
c) For how many seconds is the height of the mass above 17 mm over one cycle?
(would anyone like to talk not to be weird or anything lol)
Ali is 5 years older than salifu, If Salifu is y years.
how find Ali's age. Write answer in an equation
please help, much appreciated!!!! (will mark brainliest)
Answer:
16 years
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Find the volume of the composite solid. Round your answer to the nearest hundredth.
The volume is about _____ cubic meters.
(5.1)
Answer:
97.92 m³ (nearest hundredth)
Step-by-step explanation:
The composite solid is a cube with a cone cut out.
Therefore, to find the volume of the solid, subtract the volume of the cone from the volume of the cube.
Volume of Cube[tex]\textsf{Volume of a cube}=\sf s^3 \quad\textsf{(where s is the side length)}[/tex]
Given:
s = 5.1 mSubstitute given value into the formula:
[tex]\begin{aligned}\implies \sf V_{cube} & = \sf 5.1^3\\& = \sf 132.651\: m^3\end{aligned}[/tex]
Volume of Cone[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
[tex]\sf r=\dfrac{1}{2}(5.1)=2.55\:m[/tex][tex]\sf h = 5.1\:m[/tex]Substitute given values into the formula:
[tex]\begin{aligned}\sf \implies V_{cone} & = \sf \dfrac{1}{3} \pi (2.55^2)(5.1)\\& = \sf 11.05425 \pi \: m^3\end{aligned}[/tex]
Volume of Composite Solid[tex]\begin{aligned}\sf V_{solid} & = \sf V_{cube}-V_{cone}\\& = \sf 132.651-11.05425 \pi \\& = \sf 97.92304941...\\& = \sf 97.92 \: m^3 \: (nearest\:hundredth)\end{aligned}[/tex]
Volume of the cube
Side³(5.1)³132.65m³For the cone
Radius of base=r=5.1/2=2.55mHeight=h=5.1mVolume
1/3πr²h1/3(π)(2.55)²(5.1)34.71m³Total volume of the figure
132.65-34.7197.94m³If 7a+3b=20 and 3a+7b=10, what is a+b?
Answer:
3
Step-by-step explanation:
7a+3b=20
3a+7b=10
Substitution:
[tex]\begin{bmatrix}3\cdot \frac{20-3b}{7}+7b=10\end{bmatrix}[/tex]
[tex]a=\frac{20-3\cdot \frac{1}{4}}{7}[/tex]
[tex]a=\frac{11}{4},\:b=\frac{1}{4}[/tex]
11=4 + 1=4 = 12/4
12/4 = 3
There are 13 buttons in a bag 9 buttons are white. 4 buttons are black Carol takes a button at random from the bag, and keeps it She now takes another button from the bag. Work out the probability that Carol takes a button of each colour.
Step-by-step explanation:
Answer is case 1st:
P(of white button) = 9/13
P(of black button) = 4/12
Case 2nd
P(of black button) = 4/13
P(of white button) = 9/12
Explanation
Given: A Question
To find: Probability
Solution :Case 1st
If carol takes the first button is white
P(of picking a white button) = 9/13
And
P(of picking a black button) = 4/12
Case 2nd
If carol takes the first button is black
So, P(of picking a black button) = 4/13
And P( of picking a white button) = 9/12
What is the slope of the line passing through (9,-6) and (5, 10)?
Answer:
-4
Step-by-step explanation:
m=y2-y1/x2-x1
m=10+6/5-9
m=16/-4
m=-4
Answer: 4/-4
Step-by-step explanation:
Slope Formula= (y2-y1/x2-x1)
10-6/5-9
4/-4
