What is the volume of the rectangular prism below?

If there’s is an increase in price at which a product is sold what is most likely going to occur

Likurg_2 [28]

A increase in price increases the quantity of a item .

3 0

3 years ago

True or false the product of a positive integer and a negative integer is positive

inessss [21]

Answer:

Yes

Step-by-step explanation:

Example::

10*10 = 100 is a positive number

-10*-10 =100 is a positive number since -*- is +

4 0

3 years ago

The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height o

Anna11 [10]

The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?

let
x-------> the length of the base of the rectangular prism
y-------> the width of the base of the rectangular prism

we know that
volume of the prism=area of the base*height
volume=48 ft³
height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²
area of the base=x*y
64=x*y--------> equation 1

y=x+2--------> equation 2

substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x²+2x------> x²+2x-64=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft

the answer is
the length of the base of the rectangular prism is 7.062 ft
the width of the base of the rectangular prism is 9.062 ft

4 0

3 years ago

Can anyone help with this 35=11x Can you do a step by step too Thanks!

EastWind [94]

Answer:

x = $\frac{35}{11}$

Step-by-step explanation:

Given

35 = 11x ( isolate x by dividing both sides by 11 )

$\frac{35}{11}$ = x

8 0

4 years ago

Explain why the equation 5(2x+1)-2=6x+5 has only one solution. Then find the solution.

netineya [11]

Answer:

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Solution:

x = 1/2

y = 8

(1/2 , 8)

Step-by-step explanation:

Start by expanding with the distributive property, then simplify by collecting like terms.

5(2x + 1) - 2 = 6x + 5 Multiply "5" with each term in the brackets.

10x + 5 - 2 = 6x + 5 Collect left side's like terms (5 - 2 = 3)

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. A solution is the same as the POI (point of intersection). Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Some linear systems might have no solutions (when the lines are parallel) or infinite solutions (when the lines are equivalent, the same).

To find the solution, continue with the equation and isolate "x". This will give you the x-coordinate of the point of intersection.

To isolate 'x', move everything to the other side of 'x'. To move something, you do its reverse operation to both sides in reverse BEDMAS order.

10x + 3 = 6x + 5

10x - 6x + 3 = 6x - 6x + 5 Subtract 6x from both sides

4x + 3 = 5 "6x" cancelled out on the right. Simplified left (10x-6x=4x)

4x + 3 - 3 = 5 - 3 Subtract 3 on both sides. "3" on the left will cancel out

4x = 2 The right side was simplified (5 - 3 = 2).

4x/4 = 2/4 Divide both sides by 4 to isolate 'x'. Simplify right side.

x = 1/2 Solution's x-coordinate

Substitute what you found for 'x' into any equation that has 'y' (either y=10x+3 or y=6x+5). I will choose the first equation.

y = 10x + 3

y = 10(1/2) + 3 Multiply 1/2 and 10

y = 5 + 3 Add

y = 8 Solution's y-coordinate

Therefore the solution is when x=1/2 and y=8, or as an ordered pair, (1/2 , 8).

8 0

3 years ago

What is the volume of the rectangular prism below?​

What is the volume of the rectangular prism below?