What is the volume of the rectangular prism?
90 cm
20 cm
30 TS

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:

Goal

Given

[tex]\begin{cases} x=2y+7 \Longrightarrow (1)\\ 3x-2y=3 \Longrightarrow (2) \end{cases}[/tex]

Step 1

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

[tex]3x-2y=3\\3(2y+7)-2y=3[/tex]

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.

[tex]6y+21-2y=3\\4y+21=3[/tex]

Step 2

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.

[tex]4y=3-21\\4y=-18\\y=-\frac{18}{4} \\y=-\frac{9}{2}[/tex]

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

Step 3

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.

[tex]x=2y+7[/tex]

Substitute y = -9/2 in the equation.

[tex]x=2(-\frac{9}{2})+7\\x=-9+7\\x=-2[/tex]

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.

Step 3

Step 3.1

[tex]x=2y+7[/tex]

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

[tex]-2=2(-\frac{9}{2} )+7[/tex]

Cancel 2 out.

[tex]-2=-9+7\\-2=-2[/tex]

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

Step 3.2

[tex]3x-2y=3[/tex]

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

[tex]3(-2)-2(-\frac{9}{2})=3\\-6+\frac{18}{2}=3\\-6+9=3\\3=3[/tex]

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

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

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

Answer:

You have to first find a ratio. Then, draw a double number line representing the ratio. Finally, you must write a sentence describing the situation. Also use the word per in the sentence.

HOPE THIS HELPED AND SO SORRY IF IT DOESN'T

Average rate of change, Correct Answer is (0,-3)

Answer:

2.5

Step-by-step explanation:

It is correct trust me.

Answer:

no your answer is wrong. the answer is 15.6

Step-by-step explanation:

it is a 30-60-90 degree triangle and as per the property ..

the side opposite to 30 degree angle is half of hypotenuse( I. e half of 18 that is 9)

the side opposite to 60 degree angle is √3/2 the hypotenuse.

that is √3/2 * 18

that is √3 * 9

that is 1.73 multiplied by 9 .....(as value of √3 is 1.73)

that is 15.57

rounding it to the nearest tenth it becomes 15.6

answer is 15.6 not 20.1

A B E are the answers

Answer:

63.59

Step-by-step explanation:

The area of floor space will the rug cover is 63.59 square feet.

The correct option is D.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

A rug is circular.

And diameter = 9 feet.

So, the radius of the circle is = 4.5 feet.

The area of floor space will the rug cover,

= πr²

= 3.14 x 4.5 x 4.5

= 63.59 square feet.

Therefore, the area is 63.59 square feet.

To learn more about the diameter;

https://brainly.com/question/5501950

#SPJ6

Answer:

angle 1 is = 124 angle 2 is = 56

Step-by-step explanation:

supplementary angles always add up to 180 so you can set up the equation (2x+2)+(x-5)=180 to find x. After solving you get x = 61 and then once you have x you plug it into the 2 equations you got for the angles to solve for 1 and 2.

Answer: 14

Step-by-step explanation:

Fraction of blue shirts = 2/5

Fraction of red shirts = 3/10

Number of shirts in the shipment = 20

The number of shirts that are either blue or red will be:

= (2/5 + 3/10) × 20

= (4/10 + 3/10) × 20

= 7/10 × 20

= 14

The number of shirts that are either blue or red is 14

Answer:

301

Step-by-step explanation:

247+54 is 301

301+-54=247

Answer:

247 = g + -54

247+54=g

301=g

g=301

Answer:

the first one

Step-by-step explanation:

C and A

hope that helps:)

Answer:

q1 i think it is c

q2 is  a

Step-by-step explanation:

if correct plz mark as brainliest

thank you

19NBoli

Answer:

about them or u asked question

Answer:

Option (1)

Step-by-step explanation:

Formula to get the area of a circle is given by,

Area = πr²

Here r = radius of the circle

Since, Radius of a circle = [tex]\frac{\text{Diameter}}{2}[/tex]

Therefore, Radius of the circle with diameter = 31.6 cm will be,

Radius = [tex]\frac{31.6}{2}[/tex]

            = 15.8 cm

Now Area of the circle = π(15.8)²

                                      = 249.64π cm²

                                      = 783.87 cm²

                                      ≈ 783.9 cm²

Therefore, Option (1) will be the correct option.

Answer:

((4×6)×2l+((5×11)×3)=213

Step-by-step explanation:

The area of a triangle is base time height. A rectangles area is found by multiplying base time height. I this case multiply the triangles by two and the rectangles by three.

Answer:

I think its A and B

Step-by-step explanation:

Hope this helps.

Answer:

10. p-0.2p

11. 0.2p

.........................

Answer:

28 and 62 and 45 is right

Step-by-step explanation:

Answer:

You should use the formula Y=mx+b

Step-by-step explanation:

You can use any of these answers...

Answer 1:

y=0.25x+1.00

Answer 2:

y=0.50x+1.75

Answer 3:

y=0.75+2.50

I hope this helps! You got it!!!!!

Answer:

Hi! I hope this helps a bit because I'm just gonna give a few things you can talk about...I'm not writing a whole essay lol...

School impacts us in an extremely large variety of ways. Personally, I think it has more negative effects than positive. For example, at a school environment, there are so many ways to get exposed to profanity by your peers. There are definitely ways to be engaged with people who impact your entire life because of swearing. Similarly, students can learn and get very involved in having horrible behavior. Last but not least, I know that bullying is a huge problem at school. Even if it's being done unintentionally, students can really harm both the physical and mental strength of others.

I hope this helps you out...have a great day ❤

Answer:

Step-by-step explanation:

I was born with glass bones and paper skin. Every morning I break my legs, and every afternoon I break my arms. At night, I lie awake in agony until my heart attacks put me to sleep.

Answer:

8 inches

Step-by-step explanation:

Anthony bought an 8-foot board. He cut off 3/4 of the board to build a shelf

Step 1

The amount of board he used to build the shelf is calculated as:

= 3/4 of 8 foot board

= 3/4 × 8 foot

= 6 foot board.

Step 2

The amount of board left after building the shelf = The rest =

8 foot - 6 foot

= 2 foot

Step 3

We are told that he gave 1/3 of the rest to his brother for an art project

The amount of board he give his brother for an art project =

1/3 × 2 foot

= 2/3 foot

Step 4

How many inches was the piece Anthony gave to his brother?

We convert 2/3 foot to inches

1 foot = 12 inches

2/3 foot = x inches

Cross Multiply

x inches = 2/3 foot × 12 inches

x inches = 8 inches

Therefore, Anthony gave his brother 8 inches of board.

Answer:

In the two different ways we have solved the given equation as

Step-by-step explanation:

Given expression is

To simplify the given expression in two ways:

First way:

Given  

Multiplying 3 on both sides

 (adding the like terms)

Dividing by 3 on both sides

Therefore the given expression is solved that

Another way:

Given  

(adding the like terms)

Therefore the given expression is solved that

In the two different ways we have solved the given equation as

Answer:

(b). 27

Step-by-step explanation:

The sum of exterior angles of any polygon is 360°

2x° +56° + 4x° + 57° + 85° = 360°

6x° + 198° = 360°

6x° = 360° - 198°

6x° = 162°

x = 27

Answer:

Answer:

Answer:

90°

90°

90°

90°

edc=180-90-53=37by sum of angle of triangle

edf=90-37=53

fed=cde=53alternate angle

fea=180-fae-efa=180-37-90=53

efa=180-90=90linear pair

fae=180-<e-edf=180-90-53=37

eab=90-fae=90-37=53

aeb=180-b-bae=180-90-53=37

Answer:

14,837.98

Step-by-step explanation:

i just took a test and got it wrong with the answer the other person said , the test said this was the right answer :)

Answer:

-243

Step-by-step explanation:

Since your finding the 36th term and you know the equation plugin 36(as n) into the arithmetic sequence.

-7(36)+9 = -243

Answer $37.12

Step-by-step explanation:

32 * 16% = 5.12

5.12+32= 37.12

Answer:

Option D  "90"

Step-by-step explanation:

Answer:

i think $18.80 sorry if i’m wrong