MU Grade 8 Pr Algebra V16, Kemi O'Brien (4028/8) -

What is the value of x in the equation 3(x-2)-3=30

kenny6666 [7]

The answer would be 13

4 0

4 years ago

George is an landscape architect and is designing his backyard in a blueprint. In the yard, he wants a garden in the shape of a

ra1l [238]

Answer:

The length of the shortest side on the blueprint is 10 centimeters.

Step-by-step explanation:

Given:

George is an landscape architect and is designing his backyard in a blueprint. In the yard, he wants a garden in the shape of a triangle. The length of the longest side of the garden will be 600 centimeters, and the length of the shortest side of the garden will be 400 centimeters. If the length of the garden's longest side on the blueprint is 15 centimeters.

Now, to find the length of the shortest side on the blueprint by using an equation.

Let the length of the shortest side on the blueprint be $x.$

The length of the garden's longest side on the blueprint = 15 centimeters.

The length of the longest side of the garden = 600 centimeters.

The length of the shortest side of the garden = 400 centimeters.

If, 600 centimeters is equivalent to 400 centimeters.

So, 15 centimeters is equivalent to $x$ .

Now, to set an equation that can be used to get the length of the shortest side on the blueprint through cross multiplication method:

$\frac{600}{400} =\frac{15}{x}$

By cross multiplying we get:

$600x=6000$

Dividing both sides by 600 we get:

$x=10.$

Therefore, the length of the shortest side on the blueprint is 10 centimeters.

4 0

3 years ago

Read 2 more answers

A tear in an aircraft hull has a length of 2.3 times 10^-4 inch. The tear becomes 100 times longer. What is the new length of th

Valentin [98]

Answer:

The new length of the tear is 2.3 * 10^-2 inch

Step-by-step explanation:

Here, we are concerned with knowing the new length of the tear.

Originally, the length of the tear is 2.3 * 10^-4 inch.

But this tear became 100 times longer. The new length of the tear will be the old length * 100

Mathematically, that would be 2.3 * 10^-4 inch * 100

= 2.3 * 10^-4 * 10^2

= 2.3 * 10^(-4 + 2)

= 2.3 * 10^-2 inch

8 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a t

faltersainse [42]

Answer:

one large box equals 15.75kg

one small box equals 13.75kg

Step-by-step explanation:

First, identify your variables:

Let "l" represent the weight of one large box.

Let"s" represent the weight of one small box.

Then, stack the two equations on top of each other:

$5l+3s=120\\7l+9s=234$

Next, multiply the first equation by 3 so we can use elimination of the "s" variable to find the "l" variable first:

$3(5l+3s=120)\\7l+9s=234\\\\15l+9s=360\\7l+9s=234$

Now, subtract the two equations to cancel out the s-variable and find the l-variable:

$15l+9s=360\\-(7l+9s=234)\\8l=126\\\frac{8l}{8}=\frac{126}{8}\\l=15.75$

Then, substitute your l-variable in the original first equation to find the s-variable:

$5l+3s=120\\5(15.75)+3s=120\\78.75+3s=120\\78.85-78.75+3s=120-78.75\\3s=41.25\\\frac{3s}{3}=\frac{41.25}{3}\\s=13.75$

With all the information that is collected, you find that one large box weighs 15.75kg and one small box weighs 13.75kg.

4 0

3 years ago

-3x+y=-10 what does x equal?

olga_2 [115]

Step-by-step explanation:

First , Subtract y from both sides:

−3x = −10 −y

Second, Divide both sides by −3

x = $\frac{-10-y}{3}$

That's ur answer

Hope this helped u!!!

Good luck!!

4 0

3 years ago