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3 years ago

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Monkeys at a zoo eat 4 cups of food everyday elephants eat 76 times as much! Which equation and solution represent the number of

cups of food each day?

1 answer:

astra-53 [7]3 years ago

6 0

Answer:

304

Step-by-step explanation:

4x76=304 mark as brainlist.

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Solve the system by substitution. x= 2y + 7 3x – 2y = 3 The solution is?

seropon [69]

Hi there! Your answer is x = -2, y = -9/2

In coordinate point, we can write (-2,-9/2)

Please see the explanation below for a clear understand about the problem.

Any questions about the answer, feel free to ask in comment! :)

Step-by-step explanation:

<u>Goal</u>

Solve the system of equations by substitution method.

<u>Given</u>

System of Equations

$\begin{cases} x=2y+7 \Longrightarrow (1)\\ 3x-2y=3 \Longrightarrow (2) \end{cases}$

<u>Step 1</u>

Since our x-term is the subject in the first equation, we can simply substitute x = 2y+7 in the second equation.

Substitute x = 2y+7 in the second equation.

$3x-2y=3\\3(2y+7)-2y=3$

We do this so we can solve for the y-term without any problems. (We need to get rid of a variable if there are more than one variable.)

Then we distribute/expand 3 in the expression.

$6y+21-2y=3\\4y+21=3$

<u>Step 2</u>

Solve the equation for y-term

To solve the equation, we have to isolate the term that we want. For this scenario, we want to know the value of y-term. Therefore, we isolate y-term.

$4y=3-21\\4y=-18\\y=-\frac{18}{4} \\y=-\frac{9}{2}$

Finally! we know the value of y which is -9/2. But we are not done yet!

<u>Step 3</u>

Substitute the y-value in any given equations.

After we solve the equation, we have to substitute the value in any given equations. No need to substitute the value in both equations! Choose an equation to substitute the value in.

For this, I will be choosing an equation with less coefficients which is the first equation.

$x=2y+7$

Substitute y = -9/2 in the equation.

$x=2(-\frac{9}{2})+7\\x=-9+7\\x=-2$

We should get x = -2 as the answer. This is our last step for finding an answer. The next few steps are going to be how to check the answer for system of equations. Note that next few steps are optional. If you are not certain that the answer is wrong or right, it is highly advised to check the answer before jumping to a conclusion!

Optional Steps - Answer Check

To check the answer, we can simply substitute both x-value and y-value in any given equations. You can either choose only a single equation to substitute in ONLY if you are certain/sure that the answer is likely correct. Substituting in both equations are recommended for beginners.

<u>Step 3</u>

Substitute x = -2 and y = -9/2 in the system of equations.

<u>Step 3.1</u>

Substitute in x = 2y+7

$x=2y+7$

From x = -2 and y = -9/2

$-2=2(-\frac{9}{2} )+7$

Cancel 2 out.

$-2=-9+7\\-2=-2$

As you can see, both sides are equal. That means the equation is true for x = -2 and y = -9/2.

<u>Step 3.2</u>

Substitute in 3x-2y = 3

$3x-2y=3$

Substitute x = -2 and y = -9/2 in the equation.

$3(-2)-2(-\frac{9}{2})=3\\-6+\frac{18}{2}=3\\-6+9=3\\3=3$

Since both equations are true for x = -2 and y = -9/4. We can conclude that:

$\huge\sf{x = -2 \ and \ y = -\frac{9}{2} \ are \ the \ solutions \ to \ the \ system \ of \ equations.}$

Hence, the answer is x = -2 and y = -9/2.

5 0

3 years ago

5/8 menos 1/2 cual es el resultado en fraccion

dimaraw [331]

Answer:

4/6 supongo,.que me dices

5 0

3 years ago

Read 2 more answers

A 20-sided regular polygon has an angle measure represented as 3gº.

Andre45 [30]

The value of g in the 20 sided regular polygon is 54.

<h3>How to find the angles of a regular polygon?</h3>

If all the polygon sides and interior angles are equal, then they are known as regular polygons.

The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.

Therefore, let's find g.

The sum of interior angles of a 20 sided polygon is as follows:

180(n - 2) = 180(20 - 2) = 180(18) = 3240

Therefore,

each angle = 3240 / 20 = 162

Hence,

162 = 3g

g = 162 / 3

Therefore,

g = 54

learn more on regular polygon here: brainly.com/question/16992545

#SPJ1

8 0

1 year ago

Jerome made P points in the game . Harold made 11 fewer points than Jerome . How many points did Harold make in the games in ter

Shkiper50 [21]

Harold = P - 11

This is the answer

8 0

3 years ago

Read 2 more answers

The ratio of women to men working for a company is 5 to 7. If there are 140 men working for the company, what is the total numbe

Thepotemich [5.8K]

So women:men=5:7
for every 5 units of women, there are 7 units of men so
there are 140 men and that equals 7 units so
140=7 units
solve for 1 unit
140/7=20
1 unit=20
women=5 units
5 times 20=100
women=100
total=women+men=100+140=240
another way would be to add up the units (5+7=12) and multiply by the amount per 1 unit

7 0

3 years ago