Mathematics High School

Raquel and her brother Marcus are huge sports fans. Combined they own 15 sports jerseys. Raquel owns double the amount of Marcus's jerseys plus an additional three. Use x to represent Marcus's amount of jerseys and y to represent Raquel's amount of jerseys.

Answers

Answer 1

Answer:

[tex]x = 4[/tex] -- Marcus

[tex]y = 11[/tex] -- Raquel

Step-by-step explanation:

Given

[tex]x =Marcus[/tex]

[tex]y = Raquel[/tex]

[tex]x + y = 15[/tex] -- Both

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

Required

Determine x and y

Substitute 2x + 3 for y in [tex]x + y = 15[/tex]

[tex]x + 2x + 3 = 15[/tex]

[tex]3x + 3 = 15[/tex]

Collect Like Terms

[tex]3x = 15-3[/tex]

[tex]3x = 12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

Substitute 4 for x in

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

[tex]y = 2 * 4 + 3[/tex]

[tex]y = 8 + 3[/tex]

[tex]y = 11[/tex]

Related Questions

PLEASE HELP ASAP!!!! ILL MARK BRAINLEST

Answers

Answer:40

Step-by-step explanation:

100+10+10=3x

3x=120

Divide both sides by 3

X=40

Answer:

40

Step-by-step explanation:

add 100+10+10 and divide it by 3

5x+2=7x-4. Plz answer my question

Answers

Answer:

x=3

Step-by-step explanation:

5x+2=7x−4  

5x+2−7x=7x−4−7x

−2x+2=−4  

−2x+2−2=−4−2

−2x=−6

-2x/2=-6/2

x=3

What is the equation of the line that passes through the point (5,1) and has a slope if 6/5

Answers

Answer:

y = 6/5x - 5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

35 less than a number m is -72 help me please!

Answers

Answer:

m=-37

Step-by-step explanation:

m-35=-72

m=-37

The answer is m=-37 hope this helped!

(Please make me brainliest!)

What’s the answer to m/3-2m/5=1/5

Answers

Answer:

m = - 3

Step-by-step explanation:

[tex]\frac{m}{3} - \frac{2m}{5} = \frac{1}{5}[/tex]

It is much easier to work with whole numbers, compared to fractions, hence one should remove the denominator of the fraction. This can be done by multiplying by the LCM (least common multiple). In this case, it is fairly obvious that the LCM of 3 and 5 is 15. Therefore multiply the entire equation by 15.

[tex]15*\frac{m}{3} - 15*\frac{2m}{5}=15*\frac{1}{5}[/tex]

Simplify

[tex]5m-6m=3[/tex]

[tex]-m=3\\m=-3[/tex]

Please hurry!!! Urgent!!!

Answers

Answer:

x=9

Step-by-step explanation:

-1+14x=12x+17

2x=18

x=9

Answer: x=9

Step-by-step explanation:

so the equation on top -1+14x= 125

and 12x+17= 125

.
If y = x +3,
find the value of y when x = 2​

Answers

Answer:

Y=-4

Step-by-step explanation:

y = 3x + 2

y = 3(-2) + 2

y = -6 + 2

y = -4

Answer:

Y=5

Step-by-step explanation:

Y=2+3

So that why y is 5

Please rate my comment I am new and I would lie to help others thankyou ♥

What is an equation for the translation of y = |x| down 8 units?

Answers

your answer would be 4

Lucia earns $150 each week. She saves 12% of her earnings.
How much money does Lucia save per week

Answers

$18 i think............

Answer:

18 because

12% = money saved / total earned money * 100

Step-by-step explanation:

2. Which one of the following could be the cruising speed of a jetliner?
A. 90 km/h
B. 900 km/h
O C. 9.000 km/h
D. 90.000 km/h

Answers

Answer:

900 km/h

Step-by-step explanation:

Can someone help with this.

Answers

A
Both would be considered exterior angles.

Which type of number?

Answers

its c

Step-by-step explanation:

rational because when you divide both values you get 1, it's a rational number

hope it helps!

Someone help plz worth 5 point :(

Answers

Answer:

86 its the same thing on both sides if im wrong then 90?

Step-by-step explanation:

The answer will be 86 since it’s acrosss from it

What is 6/87 of 45638???????

Answers

Answer:

3,147.44828

Step-by-step explanation:

[tex] \frac{6}{87} \: of \: 45638 \\ \\ = \frac{6}{87} \times 45638 \\ \\ = 6 \times 524.574713 \\ \\ = 3,147.44828[/tex]

OMG i need lots of help with my math plz help

Answers

Answer:

it should be C. i hope this helps

Evaluate 0.5m + 1.2m when m = 4

Answers

Plug in 4 for m.
So, 0.5(4)+1.2(4)
2+4.8
= 6.8.

Answer:6.8.

Step-by-step explanation: 0.5(4) + 1.2(4) 2 + 4.8= 6.8.

Use what you know about end behavior to match each function in standard form with its graph below.

Answers

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

The answer is B. X axis

Write a rule for the sequence.

4, 8, 16, 32, . . .
A. Start with 4, and multiply by 2 repeatedly.
B. Start with 4, and add 8 repeatedly.
C. Start with 4, and add 2 repeatedly.
D. Start with 2, and multiply by 4 repeatedly.

Answers

Answer:

a

Step-by-step explanation:

4X2 is 8 8x2 is 16 16x2 is 32

pllsssssssssssdddddssssssdddddddddx​

Answers

Answer:

(x, y) -----> (x + 3, y - 4)

Step-by-step explanation:

3 to the right means add 3 to x.

4 down means subtract 4 from y.

(x, y) -----> (x + 3, y - 4)

Solve this system
5x – 4y + 2z = 21
-x - 5y + 6z=-24
--x – 4y + 5z =-21
O x = 5, y = -1, z = -4
0 x = 1, y = 5, z = -4
O x=-5, y = 1, z = -4
O x = -4, y = -1, z = 5

Answers

Answer:

Its the first option

Step-by-step explanation:

whats the solution pls help

Answers

Answer:

1/x^7

Step-by-step explanation:

Answer:

1/x^7

Step-by-step explanation:

I need help wit this

Answers

Answer:

$12.75

Step-by-step explanation:

Do $71.75 - $8.00. Next divide that by 5. Here you should get the "each hour" amount.

Answer: $12.75

Step-by-step explanation:

He paid ^^ per hour - $8.00

Find the slope on the line

Answers

Answer:

Zero slope

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

A saving account earns 4.5 simple interest per year. If 650.00 is deposited and no withdrawals or deposits are made during one year how much interest will be earned after one year

Answers

Answer:

29.25 Interest

Step-by-step explanation:

Take the formula: I=PRT

The principal is 650.00, 4.5 is the rate, 1 year is the time, We do not know the interest.

Change the rate, 4.5 to 0.045 to help solve the problem.

Times 650.00, 0.045, and 1 together.

You will get 29.25, Which is the answer!

Booyah! You are done.

Hope this helps!

(Will mark brainliest) Please help as soon as possible for 30 points

Answers

Answer:

90

Step-by-step explanation:

a triangle's angles all add up to 180. take 51 and 39 away from 180 and you get 90

Answer: 90 degrees

Step-by-step explanation:

Theorem:

a+b+c=180 degrees

39 degrees + 51 degrees + x degrees = 180 degrees

39 + 51 = 90

180 - 90 = 90

10. Which of the following describes two
triangles that are similar to one another?

Answers

Answer:

It's d

Step-by-step explanation:

i did it and got it right

HELP ASAP

Select the real-world problem that could be solved using a proportion.

Answers

Answer: D

Step-by-step explanation:

D can be solved using 300/6 = x/10 making it a proportion

If in one batch of cookies, you used 6 cups of dough and 2 cups of chocolate chips. How many cups of chocolate chips will you need to make 3 batches of cookies?​

Answers

1 batch = 2 cups
3 batches = 2 x 3 = 6 cups

Can someone help me understand this

Answers

Answer:

Step-by-step explanation:

If we define the line QR to be some variable of distance 'x', we can use the relationship of cosine to figure out the length of QR.

Remember, cosine is adjacent of the angle divided by the hypotenuse of the angle. So, if we take this x value over the longest side (hypotenuse), we get the value of cos(theta).

cos(25) = x/7

Multiply both sides by 7 to get:

7*cos(25) = x

Let your calculator do the work to get:

x = 6.3

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