Help please!!!!!!! Math

The volume of a single layer in a rectangular prism is 18 cubic centimeters. There are 5 layers in this rectangular prism. What

sweet [91]

Answer: $90cm^3$

Step-by-step explanation:

A rectangular prism is a three-dimensional solid.

A rectangular prism has six faces (each one of these faces are rectangles), eight vertices and twelve edges.

You know that this rectangular prism has 5 layers and the volume of one of these layers is 18 cubic centimeters ( $18cm^3$ ).

Assuming that all these layers are equal, the volume of this rectangular prism can be calculated with:

$V_{prism}=5*V_1$

Where $V_1$ is the volume of one layer.

Substituting, you get:

$V_{prism}=(5)(18cm^3)\\\\V_{prism}=90cm^3$

8 0

3 years ago

Here is a number line<br> Please answer will give brainliest

andreev551 [17]

Answer:

-3<n<=5

Step-by-step explanation:

This is because the coloured circle on the number line means that the number is less than or equal to 5

4 0

3 years ago

A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanut

Dvinal [7]

Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue

Step-by-step explanation:

Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.

The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.

In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that

4x + (1.5 × 60) = 2.5(60 + x)

4x + 90 = 150 + 2.5x

4x - 2.5x = 150 - 90

1.5x = 60

x = 60/1.5

x = 40

5 0

3 years ago

A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed num

katovenus [111]

Answer:

8 feet

Step-by-step explanation:

Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.

Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.

2(2 1/3) + 2(1 3/4) = perimeter of rectangle

To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.

2 1/3 ⇒ 7/3
1 3/4 ⇒ 7/4

Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.

2(7/3) + 2(7/4)
14/3 + 14/4

To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.

14/3 (4/4) = 56/12
14/4 (3/3) = 42/12

Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.

54/12 + 42/12 = 96/12

You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.

96/12 = 8

The perimeter of the rectangle is 8 feet.

7 0

3 years ago

Read 2 more answers

A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the

dalvyx [7]

To solve the problem we must know about quadratic equations.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

The breadth of the rectangle is 200 ft, while the length is 210 ft.

<h2>Explanation</h2>

Given to us

Area of the parking lot = 42,000 ft²
Perimeter of the parking lot = 820 ft

<h3>Area of the parking lot</h3>

Area of the parking lot = Area of the rectangle

42,000 ft² = Length x Breadth

Solving for L,

$42,000 = L \times B\\\\
L = \dfrac{42,000}{B}$

<h3>Perimeter of the parking lot</h3>

Perimeter of the parking lot = Perimeter of the rectangle

820 ft. = 2(Length + Breadth)

820 ft. = 2(L+ B)

$2(L+ B) = 820\\\\
(L+B) = \dfrac{820}{2}\\\\
(L+B) = 410$

Substituting the value of L,

$(L+B) = 410\\\\
(\dfrac{42,000}{B}) +B = 410\\\\
42000 + B^2 = 410B\\\\
B^2 -410B +42000 = 0$

<h3>Quadratic Expression</h3>

Solving the quadratic Expression,

$B^2 -410B +42000 = 0\\\\
(B-210)(B-200)=0$

Equation the factors against zero,

B-210=0

B = 210

B-200=0

B = 200

Hence, the breadth of the rectangle is 200ft, while the length is 210 ft.

Learn more about Quadratic Expression:

brainly.com/question/10025464

4 0

3 years ago