One number is eight more than a second number. Five times the first is 8 less than 2 times the second. Find the numbers.
The value of the first number is?
The value of the second number is?

Answers

Answer 1

Step-by-step explanation:

let the 2 numbers be x and y.

x - 8 = y --(1)

5x = 2y - 8 --(2)

sub (1) into (2):

5x = 2(x - 8) - 8

5x = 2x - 24

3x = -24

x = -8

sub x = -8 into (1):

y = -8 - 8 = -16

first number is -8 and second number is -16.

Topic: algebraic equations + simultaneous equation

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Related Questions

Jessie runs four days a week after school She
runs the same number of miles on Monday,
Wednesday, and Thursday, and 5 miles on Friday
If she runs a total of 29 miles each week, how
many miles does she run on Monday?

Can you put this in multi step equation form

Answers

Answer:

she runs 8 miles on Monday 8 miles on Wednesday 8 miles on Thursday and 5 miles on Friday

Step-by-step explanation:

8+8+8+5 = 29

101 = -4 + 5(x + 2) STEP BY STEP EXPLANATION IN NUMBERS NOT WORDS PLEASE!

Answers

Answer:

PEMDAS

Step-by-step explanation:

(P)arenthesis

(E)xponents

(M)ultiplication

(D)ivision

(A)ddition

(S)ubtraction

101 = -4 + 5(x + 2)

101 = -4 + 5x + 25

101 = 21 + 5x

101 - 21 = 5x

80 = 5x

80/5x

x = 16

I hope that helps :)

At a used book sale, 5 books cost $15. What is the cost per book?

Answers

Answer:

$3/book

Step-by-step explanation:

cost per book means divide the price of all the books by the number of books

$15/(5 books) = $3/book

y+2=2(x-1) slove plz

Answers

Answer:

try y=2x+4

Step-by-step explanation:

hope it helps :)

Y+2=2x-2
Y=2x-2-2
Y=2x+4

Question 2
If triangle ABC is congruent to triangle DEF, then which of the
following is true?
BC = DE
C = F
A = F
AB = EF

Answers

Answer:

i think b if im wrong

sorry]

iStep-by-step explanation:

the answer should be C = F

George is at the shop and sees that 6 antiques cost $18. He needs 48 antiques to make a small museum. How much will 48 antiques cost?
pls dont fake it

Answers

Answer:

$144

Step-by-step explanation:

If 6 antiques cost 18 dollars, and 6 goes into 48 8 times, when you multiply 18 dollars by 8, you get 144 dollars

Find an equation in the form y=ax2+bx+c for the parabola passing through the points.(−3,61), (4,96), (2,16)

Answers

Answer:

9657

Step-by-step explanation:

Please choose the correct answer, and recieve brainliest.

Along with Louisiana, Napoleon sought to reestablish French control over which other New World colony?
Question 1 options:

Saint-Domingue

Saint Lucia

Saint Marine

Saint Alamo

Answers

Answer:

Step-by-step explanation:

Even though you selected math as the category, I believe the answer is A, Saint-Domingue.

Answer the Pre-Algebra problem attached to this.

Answers

Answer: x>5

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer: x is greater than 5

Step-by-step explanation:

9(2(5)-9)-5 greater than 4

9(10-9)-5 greater than 4

9-5 greater than 4

4 greater than 4

So x MUST be greater than 5

Karen grew a pumpkin that weighed 18.9 pounds for the competition at the
county fair. Nancy grew a pumpkin that weighed 19.9 pounds. Who grew the
largest pumpkin, Karen or Nancy?
A. Nancy
B. Karen

Answers

Answer:

Nancy

Step-by-step explanation:

Her pumpkin weighed more

someone help me with this question i have no idea what its asking

Answers

Answer:

Step-by-step explanation:

y = x

m = 1

b = 0

Table:

                                 (- 2, - 2)

0     y = x , y = 0    0    (0 , 0)

2      y = x , y = 2    2    (2, 2)

4      y = x , y = 4    4     (4, 4)

7) The triangles in the picture are congruent by which method?

Answers

Answer:

SAS

Step-by-step explanation:

The sides are indicated to be congruent from triangle to triangle.

The intersecting angle are equal.  Therefore the triangle is congruent due to Side Angle Side

Johnathan went shopping at HEB. He began to look at two different cereals below Sunshine Cornflakes: 24-ounce box for $4.32 Bright Start Cornflakes: 36-ounce box for $5.76 How much less does it cost per ounce?

Answers

Answer:

Step-by-step explanation:

Given that:

Johnathan looked at two different portions of cereals at the supermarket.

They are:

Sunshine Cornflakes: 24-ounce box for $4.32

Bright Start Cornflakes: 36-ounce box for $5.76

To calculate the cost of one ounce of Sunshine cornflakes, we have:

24-ounce box for $4.32

1 - ounce box  will be x

x = ($4.32 × 1 ounce box) / 24 ounce box

x = $0.18

1 - ounce box  will be = $0.18

To calculate the cost of one ounce of Bright star cornflakes, we have:

36-ounce box for $5.76

1 - ounce box will be = ( $5.76 × 1 ounce box) / 36 ounce box

1 - ounce box will be = $0.16

Since 1 - ounce box of Bright star cornflakes is lesser than 1 - ounce box of Sunshine Cornflakes.

Then,  Bright star cornflakes costs ($0.18 - $0.16) = $0.02 per ounce box lesser than Sunshine Cornflakes.

Thus, Bright star cornflakes will be a better buy.

If 2c - 5 = 3d + 4, what does c equal, in terms of d?

Answers

Answer:

D. [tex]\frac{3d+9}{2}[/tex]

Step-by-step explanation:

2c - 5 = 3d + 4

Isolate 2c.

2c = 3d + 4 + 5

Simplify.

2c = 3d + 9

(2c ÷ 2 = c) Find c.

c = [tex]\frac{3d+9}{2}[/tex]

Answer:

[tex]d. \: \frac{3d + 9}{2} [/tex]

Step-by-step explanation:

Follow the steps below.

[tex]2c - 5 = 3d + 4 \\ 2c = 3d + 9 \\ c = \frac{3}{2} d + \frac{9}{2} \: or \: c = \frac{3d + 9}{2} [/tex]

So D is correct.

What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
O y = 3x + 1
O y = 2x - 5
O y = 2x + 5
O y = x - 3
HELP ASAP

Answers

Answer: y = 2x-5
Explanation:
(using slope formula: y2-y1/x2-x1
1 - -3/ 3-1
=4/2 which is 2
(using point-slope formula: y-y1=m(x-x1)
y+3=2(x-1)
y=2x-5

pleaseee help
BRAINLIESt!!!!

Answers

Answer:

C y cause it was already there plus ik super late but hey sum points

Step-by-step explanation:

A 10.0kg cart traveling East at 5.00 m/s collides with a 7.50kg cart traveling 3.00m/s at an angle of 55.0o. The two carts collide and stick together. What is the velocity of the cars after they stick together?

Answers

Answer:

The magnitude of the velocity of the cars after they stick is approximately 3.7 m/s

Step-by-step explanation:

The given parameters are;

The mass of the cart traveling East, m₁ = 10.0 kg

The speed of the cart traveling East v₁=  5.00 m/s

The mass of the cart traveling at an angle of 55° m₂= 7.50 kg

The speed of the cart traveling at an angle of 55°, v₂ = 3.00 m/s

The component of the velocities of the cart raveling at an angle are given as follows;

v = 3.00 × cos(55°)·i + 3.00 × sin(55°)·j

The total momentum before collision = m₁ × v₁ + m₂ × v₂  by substitution is therefore;

m₁ × v₁ + m₂ × v₂ = 10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j)

The total momentum after collision = (m₁ + m₂) × v₃

By the principle of the conservation of linear momentum, whereby the momentum is conserved, we have;

m₁ × v₁ + m₂ × v₂ = (m₁ + m₂) × v₃

10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j) = (10 + 7.5) × v₃

50.00·i + 12.91·i + 18.43·j = 17.5·v₃

62.91·i + 18.43·j = 17.5·v₃

∴ v₃ = (62.91·i + 18.43·j)/17.5 ≈ 3.59·i + 1.05·j

Therefore, the magnitude of the velocity of the cars after they stick = √(3.59² + 1.053²) ≈ 3.7

The magnitude of the velocity of the cars after they stick ≈ 3.7 m/s.

which equation represents the cost,Y, for each friend to go bowling in terms of the number of games played,X?

Answers

Answer:

Answer is C

Step-by-step explanation:

A bank tellers’ hourly wage will increase from $24 to $27.60. What percent increase does this represent?

Answers

Answer:

15%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Write an equation of the line that passes me that passes through (2,-5) and is parrallel to the line 2y=3x+10

Answers

Step-by-step explanation:

parallel means same slope/gradient

2y = 3x + 10

y = 1.5x + 5

let equation be y = 1.5x + b

sub (2, -5)

-5 = 1.5(2) + b

b = -8

therefore y = 1.5x - 8

Topic: Coordinate Geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Which of the following math statements contain variable(s)? Check all that apply.
MULTIPLE CHOICE

A. 10 + 6 = x
B. 10 + ___ = 16
C. x + ___ = 16
D. 10 + 6 = 16

Answers

Answer:

The answer is

A. 10 + 6 = x

And

C. x + ___ = 16

Because variables are letters, for example 7x, X is the variable and 7 is the number. The variable can be any letters in the alphabet A-Z.

A and C
Explanation: Idek

first to answer gets brainleist

Answers

Answer:

I'm a genius

Step-by-step explanation:

-15/8 or -1.875

whats the answer to log x+2 (9x) = 2

Answers

Answer:

2/19

Step-by-step explanation:

x+2 (9x) = 2

x+18x=2

19x=2

19x/19=2/19

2/19

Answer:

x = 2/19

Step-by-step explanation:

Please mark brainliest

Eight workers took 2 1/4 days to dig half of a tunnel. If only two workers are going to finish the tunnel, how long will it take them?​

Answers

Answer:

0.5625

Step-by-step explanation:

A road rises vertically 4 feet for every 50 feet traveled horizontally. What is the rate of
change in vertical feet per horizontal foot as a car travels this road?

Answers

Answer:

4/50 or 2/25

Step-by-step explanation:

Slope/rate of change is defined as the vertical distance over horizontal. then simplify.

What percent of 45 is 7?
show work please?

Answers

Answer:

3.15

Step-by-step explanation:

45% can be converted into 0.45 or 9/20. You either multiply 7 by 0.45 or 9/20 to get your answer.

Answer:

3.15 is correct

Step-by-step explanation:

The person above me has all the work needed

in a class of 30 students, there are 18 boys and 12 girls. What is the ratio of girls to boys?

Answers

Answer:

3:2

Step-by-step explanation

18:12, divide both by 6, 18/6=3, 12/6=2, ratio simplified is 3:2

Answer:

Step-by-step explanation:

12:18

2:3

Brainliest! Fast answer! Correct answer!

Answers

Answer:

It would be C i believe

Step-by-step explanation:

PLZ ANSWER ASAP! ONLY IF YOU ARE CORRECT. I NEED HELP MATH EXPERTSSSS!

Answers

Angles 8 and 7
Angles 3 and 4
Are consecutive interior angles.

Answer:

Angles 7 and 8

Angles 4 and 3

Are consecutive interior angles.

Step-by-step explanation:

What is 2+2 pls help

Answers

Answer:

4

Step-by-step explanation:

2 + 2 += 4

This can be solved by addition.

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