A cubical container measures 9 ft on each edge. What does it cost to fill the container at $2.58 per cubic ft?

Morgarella [4.7K]

Answer:

E) (-4, -3)

Step-by-step explanation:

To use elimination, you need to have one variable in both equations that have the same coefficient. (The coefficient is the number attached to the variable). Both equations have "7y".

The way elimination works is by eliminating one of the variables first. Decide how (-7y) and (-7y) can cancel out and become 0. You can either add or subtract.

(-7y) - (-7y) Try subtracting

= (-7y) + 7y

= 0

Based on this, we should subtract the whole equations.

Set up the equations like normal subtraction. Then, subtract each of the terms that have the same variable.

. 4x - 7y = 5

- 9x - 7y = -15 Do 4x - 9x = -5x. -7y - (-7y) = 0. 5 - (-15) = 20.

. -5x - 0 = 20 "y" cancelled out

. -5x = 20 Isolate 'x'

. -5x/-5 = 20/-5 Divide both sides by -5

. x = -4 Solved x-coordinate

Substitute 'x' for -4 in any of the equations. Then simplify and isolate "y" to solve for the y-coordinate.

4x - 7y = 5

4(-4) - 7y = 5 Simplify the multiplication.

-16 - 7y = 5 Start isolating 'y' now

-16 + 16 - 7y = 5 + 16 Add 16 to both sides. Left side cancels out 16

-7y = 5 + 16 Solved right side by adding

-7y = 21

-7y/-7 = 21/-7 Divide both sides by -7

y = -3 Solved y-coordinate

Therefore the answer is (-4, -3).

5 0

3 years ago

What is y=mx+b and how do I find it

MatroZZZ [7]

This is the slope formula.

7 0

3 years ago

Read 2 more answers

Find the missing exponent. I really need help with this question 1/169=(1/13)? ? =

Kisachek [45]

The answer for thi question is 2

6 0

2 years ago

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

4 0

2 years ago

Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €

Bad White [126]

Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

$\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.$

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

$f=20-t$

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

$5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10$

3. Substitute the value of "t" into the equation $f=20-t$ and evaluate:

$f=20-10\\\\f=10$

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

$Total=10(5)+10(10)=150$

She has a total of 150€.

5 0

3 years ago

A cubical container measures 9 ft on each edge. What does it cost to fill the container at $2.58 per cubic ft?​

A cubical container measures 9 ft on each edge. What does it cost to fill the container at $2.58 per cubic ft?