What is the solution to the system of equations2x + 3y = 40andy=x + 10?
A
x = 2; y = 12
B
x = 4; y = 14
C x = 12; y = 2
D x = 14; y = 4

Answers

Answer 1

Answer:

A is the correct answer

Step-by-step explanation:

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

Hope that helps

Answer 2

A is the correct answer is the correcta answer

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.


Related Questions

Ken is cutting wooden pieces that each measure 2/3 ft long. If ken is cutting from a piece that measures 9 1/3 ft, how many pieces can ken cut

Answers

Answer:

14 pieces

Step-by-step explanation:

Given that the total length available is 9 1/3 ft long and the pieces being cut is 2/3 ft long, the number of pieces that may be cut may be computed by dividing the total length by the length of each piece

= 9 1/3 / 2/3

= 28/3 * 3/2

= 14 pieces

which equation is closest to the line of best fit in the graph below ?

Answers

Answer: B

Step-by-step explanation:

Please help it’s for a grade multiple-choice

Answers

Answer:

2x ( 5x + 6 )

Step-by-step explanation:

What you want to do is simplify each of the answer choices you have and see which one is the same as the expression given.

2x ( 5x + 6 ) Distirbute 2x to 5x + 6.

2x times 5x equals 10x² because x times x equals .

2x times 6 equals 12x.

Once you simplify this expression, you get 10x² + 12x which is the expression you started with!

Pls help with #6 pls pls!!!

Answers

Answer:

Answers in explanation.

Step-by-step explanation:

Finding angle 1:

52 + angle 1 = 180

angle 1 = 128

Finding angle 2:

128 (angle 1) + angle 2 = 180

angle 2 = 52

Finding angle 5:

52 + 47 + angle 5 = 180

angle 5 = 81

Finding angle 3:

angle 2 + angle 3 + angle 5 = 180

52 + angle 3 + 81 = 180

angle 3 = 47

Finding angle 4:

angle 3 + angle 4 = 180 OR angle 4 + 47 = 180

47 + angle 4 = 180

angle 4 = 133

The table and equation below show the proportional relationship between time, in seconds, $x$ , and distance traveled, in feet, $y$ , for two remote-control cars. Car 1 $x$ $y$ $15$ $75$ $17$ $85$ $21$ $105$ Car 2y\ =\ 10x$ Which statement is true about the speeds of the two cars? A Car 1 is traveling faster than Car 2. B Car 2 is traveling faster than Car 1. C The two cars are traveling at the same speed.

Answers

Answer:$12$

Step-by-step explanation:

A quadrilateral has two angles that measure 240° and 70°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The two missing angles are 20 and 30 degrees.

Step-by-step explanation:

Quadrilaterals have four interior angles that add up to 360 degrees.

So we have two angles that are 240 degrees and 70 degrees.

If 240 + 70 = 310

That means the other two angles added together must be equal 50.

Because 360 - 310 = 50

So their ratio is 2:3 which means they have five equal parts.

Which would mean 50/5 = 10

2 x 10 = 20

3 x 10 =30

This means the missing angles are 20 and 30 degrees.

Hope this helped you!

Hurry fast pls pls

Evaluate the expression for w = 4.


2w + 12 =


Show your work pls

Answers

The answer is 20

Work:

w=4

2w (2 X 4) + 12

8 + 12= 20

Hope this helps.

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19 of 22
20
Which is equivalent to (-9n + 12)?
OA. 3n
OB. 304 - 3n)
o c. 216
OD. 4(3 - 5n)


Answers

B: 3(4-3n)

hope this helps

Solve the following system of equations graphically on the set of axes below.
Graph those please and find the solution

Answers

Answer:

The solution is (4, 0)

Step-by-step explanation:

Here is a picture of what the graph would look like:

Simplify the expression:
5a - b + 1/2c where a = 2, b = 3, and c = 12

Answers

Answer:

10a - 3b +6c

Step-by-step explanation:

please help me it’s due right now?!?!
Find the missing side of each triangle.

Answers

Answer:

x = 2√5

Step-by-step explanation:

Using the Pythagorean Theorem:

a² + b² = c²

You can identify that x is the hypotenuse, as it is opposite to the right angle.

So:

3² + √11² = x²

9 + [(√11) (√11)] = x²

9 + 11 = x²

20 = x²

√20 = √x²

√4√5 = x

2√5 = x

x = 2√5

Unit 8: Right Triangles & Trigonometry Homework 2: Special Right Triangles...Please Help!

Answers

Where is the question?

Janet correctly answers 50 questions on her science test. There are 80
questions on the test. Enter the percent of the questions Janet did NOT
answer correctly

Answers

Answer:

30/80

3/8x100

37.5

Step-by-step explanation:

Ms. Pickle is a salesperson at Fluffy Dogs. Each week she earns $560 plus a 6.5% of her sales. How much did she earn last week if her sales were $3800?

Answers

Answer:

I think 247 is your answer!

Step-by-step explanation:

$560 plus a 6.5% of her sales = 596.4 US$

3800 plus a 6.5% of her sales last week = 4047

6.5% of 3800 is 247

A person can walk 3 1/4 miles in one hour. How many miles can the person walk in 1 3/4 hours?

Answers

Since Emily is walking at a constant speed, we can solve this using proportions, equating ratios of distance/time.

The first ratio is 3/4 miles/1/4 hour
The second ratio is 1 mile/ x hour

Equating the two ratios: 3/4 / 1/4 = 1/x
3 = 1/x
x = 1/3 hour

A person walks 1/7 mile in 1/12 hour. the persons speed is _ miles per hour

Answers

Answer the a person walked 1.344 per 1/12

Step-by-step explanation:

What is the value of y?
Y-10
y+130
y+45°

Answers

Answer:

Step-by-step explanation:

its 165

please helppp!! ill give brainliest <333

Answers

Answer: Area: [tex]D. 32\frac{6}{20}[/tex]

Step-by-step explanation:

Step 1: Convert the Expressions

[tex]4\frac{3}{4}*6\frac{4}{5}[/tex]

[tex]\frac{19}{4}*\frac{34}{5}[/tex]

Step 2: Reduce the Numbers

[tex]\frac{19}{4}*\frac{34}{5}[/tex]

[tex]\frac{19}{2}*\frac{17}{5}[/tex]

Step 3: Multiply

[tex]\frac{19}{2}*\frac{17}{5}[/tex]

[tex]\frac{323}{10}[/tex]

Step 4: Simplify

[tex]\frac{323}{10}[/tex]

[tex]32\frac{6}{20}[/tex]

Please mark brainliest if this helped! :)

Pool has a high dive platform that is 12 feet above the pool. the pool is 15 feet deep. what is the distance between the platform and the bottom of the pool

Answers

This distance is 27 feet. This is so because 12 + 15 = 27. Hope this helps

plz help fast solve this

Answers

Answer:

3

1

2

Step-by-step explanation:

Math simplification

Answer:

A=3, B=1, C=2

Step-by-step explanation:

A grocery store sells salmon fillets in package that contains at least 3 fillets of salmon,but no more than 5.which of the following could be the total number of salmon fillets in 6 packages

Answers

Answer: 18 ≤ 6*S ≤ 30

Where S is the number of salmon fillets in one single package.

Step-by-step explanation:

Let's define S as the number of salmon fillets in one package.

We know that it contains at least 3, and no more than 5, then we can write:

3 ≤ S ≤ 5

Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.

We can find this by multiplying the inequality:

3 ≤ S ≤ 5

by 6.

We get:

6*3 ≤ 6*S ≤ 6*5

18 ≤ 6*S ≤ 30

Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.

Marco brought $25 to a facility that has indoor batting cages. He can buy 1 token for $1.25, which will give him 15 pitches. He needs to have at least $5 leftover to buy lunch. How many tokens, t, can Marco buy and still have enough money for lunch?

Answers

First what I did was take out the 5 dollars. So I did 25 minus 5.

25 - 5 = 20

Next, I divide the left over 20 dollars by 1.25 to see how many tokens Marco could buy.

20 / 1.25 = 16

Which i came up with 16. So Marco can buy 16 tokens and still have enough money to use to buy lunch.

HOPE THIS HELPS! :)

Joe went to the store and bought 4 cans of peanuts for $7.80 .What is the constant of proportionality? (explain what you do to solve and actually solve)

Answers

Answer:

84

Step-by-step explanation:

Is it possible for two numbers to have a difference of 8, and a sum of -6? If so, what are the two numbers?

Answers

Answer: The two numbers are 1 and -7

1 minus -7 = 1 - (-7) = 1 + 7 = 8 .... difference

1 plus -7 = 1 + (-7) = -6 .... sum

===================================================

Explanation:

Let x and y be the two numbers. Let's say that x > y. Meaning that x is the bigger value.

They have a difference of 8 tells us that

x-y = 8

since "difference" is the result of subtraction. The term "sum" means the result of addition. Having a sum of -6 tells us

x+y = -6

We have this system of equations

[tex]\begin{cases}x-y = 8\\x+y = -6\end{cases}[/tex]

We can add the equations straight down. So we add the x terms to get x+x = 2x. The y terms add to -y+y = 0y = 0, so the y terms go away. The stuff on the right hand side adds to 8+(-6) = 2

After adding the equations straight down, we boil things down to the equation 2x = 2 which solves to x = 1, after dividing both sides by 2.

Then you'll use x = 1 to find y

x-y = 8

1-y = 8

-y = 8-1

-y = 7

y = -7

or

x+y = -6

1+y = -6

y = -6-1

y = -7

Regardless of what equation you pick, you should end up with the same y value. This helps confirm we have the correct x value.

Another way to check is to plug (x,y) = (1,-7) into both equations of the system. You should end up with true statements after simplifying fully.

So the two numbers are x = 1 and y = -7

Kenji drives 18.4 miles in 16 minutes. He passes a sign, which gives the speed limit as 60 mph. By how much, in mph, did Kenji's average speed exceed the speed limit?

Answers

The amount of speed by which kendri exceeded the speed limit is; 9 mph

We are given;

Distance; d = 18.4 miles

Time; t = 16 minutes = (16/60) hours

Now, the formula for speed is;

Speed = distance/time

Thus, let's Calculate kenji's speed;

Kenji's speed = 18.4/(16/60)

Kenji's speed = 69 mph

We are told that the speed limit is to be 60 mph, this means that kendri exceeded the speed limit by;

69 - 60 = 9 mph

Read more about speed and distance at; https://brainly.com/question/21791162

At an animal shelter, there are 36 dogs and a number of cats. If 40% of the animals are cats, how many cats are at the animal shelter?

Answers

Answer:

14.4

Step-by-step explanation:

Hewo helppT-T pwease :3

2/5+____= 11/15

Answers

Answer:

1/3 is the answer

Step-by-step explanation:

Answer:

hi! so first you make 2/5 into 6/15 and the answer would be 5/15 (or 1/3 if you simplify it) because 6/15+5/15=11/15

PLZ HELP (05.01) "Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 14 inches. Use the image below to determine the area Of the triangle and how many she can cut out."

Answers are on the picture

Answers

Answer:

Step-by-step explanation:

You first have to find the area of the square grid

To find this you multiply the sides

14 * 14 = 196

Next you have to find the area of the triangle

To find the area of a triangle you use the equation

h is height

b is base

Put in the values you know

Multiply

The area of the triangle is 49 inches squared

You divide the area of the triangle by the area of the square

196 / 49 = 4

The answer is 4 triangles

2) Mackenzie just started training for a marathon. According to her plan,
she must run 19 miles the first week and 25 miles the second week. What is
the percent increase?

Answers

25/19 = 1.31589474
.0131589474%

Answer:

32%

Step-by-step explanation:

25 - 19 = 6

6 divided by 19 = 0.315

round to the nearest percent, 32%

What is the coefficient in the expression 3n + 1

Answers

The coefficient is 3
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