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3 years ago

The product of 7 and a number, increased by 3, is equal to twice the number, subtracted from 39. Find the number.

1 answer:

8 0

It's just an equation, the number you're looking for is X, and then turn the words into an solvable equation with respect to X.

7X + 3 = 39 - 2X
9X = 39 -3 = 36
X = 4

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On the way home from rug shopping, Sophia stopped and bought a rectangular cake. The bottom is not frosted, but all other sides

Brums [2.3K]

Answer:

A) Total Surface Area = 164 sq. feet.

B) Radius = 4.5 inches

C) Diameter = 9 inches

Step-by-step explanation:

A rectangular prism has 6 faces. Since bottom is not covered in frosting, we only need to find area of all the 5 faces (surfaces) and sum it.

The length is 8, width is 11, and height is 2 (of the cake).

Hence, top surface is 8 * 11 = 88

There are 2 sides measuring 8 and 2. So area is 8*2= 16 *2 = 32

THere are other 2 sides measuring 11 and 2. So area is 11 * 2 = 22 * 2 = 44

Total surface area of the cake that has frosting = 88 + 32 + 44 = 164 sq. inches

Top of the cylinder (pineapple cake) is covered in icing. Top is the shape of a circle, which has area $\pi r^2$ , which is given as 63.585

Solving for radius (r), we get:

$\pi r^2=63.585\\r^2=\frac{63.585}{\pi}\\r=\sqrt{\frac{63.585}{\pi}}\\ r=4.5$

radius = 4.5 inches

The diameter is twice the length of the radius.

The diameter is thus D = 2 * r

D = 2 * 4.5 = 9

Diameter = 9 inches

6 0

3 years ago

Brayden and Aubrey are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Brayde

USPshnik [31]

Answer:

B(t) = -30t + 280

A(t) = -40t + 340

(Screenshot of graph is attached below)

They will be the same distance away from the stadium after 6 hours.

Step-by-step explanation:

4 0

3 years ago

X² - 2X -35 WHAT IS THE ANSWER FOR THIS POLYNOMIAL

weeeeeb [17]

Answer:

(x-7)(x+5)

Step-by-step explanation:

-7 and 5 add up to 2 and multiply to -35

really need brainliest!!

6 0

3 years ago

Read 2 more answers

Triangle ABC is shown Translate Triangle ABC 5 units left and 4 units up and reflect it over the x-axis

tekilochka [14]

Here is my process for solving this.

First I drew arrows that indicated I was moving the whole triangle 5 units to the left.

*Look at first attachment*

Then I drew another triangle using those new points. (The new triangle is in pink)

*Look at second attachment*

Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)

*Look at third attachment*

Then I drew the new triangle in blue using the new points.

*Look at fourth attachment*

Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.

*Look at fifth attachment*

The fifth attachment in green is the final product! Hope that helps.

3 0

2 years ago

Which are diagonals through the interior of the cube? Select all the apply

Gennadij [26K]

Answer:

Step-by-step explanation:

From the figure we can see a cube ABCDEFGH.

In a cube thee are 4 interior diagonals

To find the diagonal of the cube

AH, BG, CF and DE

There are 4 interior diagonals.

The given options contain only one interior diagonal.

Therefore the correct answer is first option. AH

5 0

3 years ago