A Cupid shipping crate has a volume of 27 ft.³ what are the dimensions of the crate

Mrs. Frasier is making costumes for the school play. Each costume requires 3/4 yards of fabric. She bought 6 yards of fabric. Ho

kodGreya [7K]

Answer:

8 costumes

Step-by-step explanation:

Take the total amount of fabric and divide by the amount per costume

6 ÷ 3/4

Copy dot flip

6 * 4/3

6/3 *4

2 *4

8

She can make 8 costumes

6 0

3 years ago

Marsha is buying a new cell phone. She has a 45% off coupon from the store. She pays $275 for the cell phone. What is the price

jekas [21]

Answer:

The price of the cell phone without the coupon= $500

Step-by-step explanation:

Step 1: Express discounted amount

The discounted amount can be expressed as a function of the original cost of the phone as follows;

D=r×A

where;

D=discounted amount

r=coupon rate

A=original price of the cell phone before the coupon

In our case;

r=45%=45/100=0.45

A=a

replacing;

Discounted amount=(0.45×a)=0.45 a

Step 2: Amount she pays up

Amount she pays=Original cost of cell phone-discounted amount

where;

Amount she pays= $275

original cost of cell phone=a

discounted amount=0.45 a

replacing;

$275=a-0.45 a

0.55 a=275

a=275/0.55

a=500

The price of the cell phone without the coupon= $500

7 0

3 years ago

Tory deposited 3100 and to a savings account that pays simple annual interest rate of 3.38% how much interest will she earn afte

sergiy2304 [10]

Answer:

$157.17

Step-by-step explanation:

Interest is the amount of return that someone receive on the amount invested in a bank or in a business. The annual interest rate is defined on the invested amount. The amount invested is called the principal and.

By applying the interest rate on the principal amount, we can calculate the annual interest earning.

Principal = $3,100

Rate of simple interest = 3.38% per year

Now, define the total time period.

Time period = 18 months = 18 / 12 = 1.5 years

Now calculate the Total interest earning.

Interest Earned = $3,100 x 3.38% x 1.5 = $157.17

4 0

3 years ago

What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati

Anestetic [448]

A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.

Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is
x²+6x+9=y-8+9
(x+3)²=y+1

6 0

4 years ago

Select all TRUE statements : A - Dilation always increase the length of shapes or line segments. B- Dilations of an angle are co

timurjin [86]

Hi!

A is FALSE - If you shrink a shape, it is not increased a shape, yet it is still dilating.

B is TRUE - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.

C is FALSE - Explained above.

D is FALSE - Two triangles that are congruent are exactly the same, therefore if you dilate a triangle, you are changing the size so they are not the same.

E is TRUE - Similar shapes are always the same except for their size. When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.

6 0

2 years ago