The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's present ages S years which equation models the situation

Answers

Answer 1

Answer:

[tex]f = 7s -2[/tex]

[tex]f + s =53[/tex]

Step-by-step explanation:

Given

Let

f = Father's age

s = Son's age

We'll solve this question, while reading through the instructions

From the first statement;

f is 2 less than 7 times s.

This means

[tex]f = 7s -2[/tex]

In two years time, the father will be f +2 and the son will be s + 2

So, their sum is:

[tex](f+2) + (s + 2) = 57[/tex]

[tex]f + 2 + s + 2 =57[/tex]

Collect like terns

[tex]f + s =57-2-2[/tex]

[tex]f + s =53[/tex]

So, the equations are:

[tex]f = 7s -2[/tex]

[tex]f + s =53[/tex]


Related Questions

What is the measurement of angle 1

Answers

Answer: angle 1 is 150°
Explanation: 150+30=180

Solve x2 + 8x − 3 = 0 using the completing-the-square method.

x = four plus or minus the square root of three
x = negative four plus or minus the square root of three
x = four plus or minus the square root of nineteen
x = negative four plus or minus the square root of nineteen

Answers

Answer:

Step-by-step explanation:

x^2+8x-3=0 (move constant to other side by adding 3 to each side)

x^2+8x=3 (halve thr linear coefficient, square it and add to each side, (8/2)^2=16)

x^2+8x+16=3+16 (now the left side is a perfect square)

(x+4)^2=19 (now take the square root of each side)

x+4=+-(19^(1/2)) (finally subtract the constant to isolate x by itself)

x= -4+-(19^(1/2))

x=negative four plus or minus the square root of nineteen

Answer:

D) x = negative four plus or minus the square root of nineteen

Step-by-step explanation:

I took the exam

Please need help with this one

Answers

y-y1=m(x-x1)
x1 and y1 are coordinates of first point
x and y are coordinates of second point
(7,7) x1=7, y1=7
(-9,-1) x= -9, y= -1
-1-7=m(-9-7)
-8=m(-16)
-8= -16m multiply by -1
8=16m
m=8/16
m=1/2

Answer:

y - 7 = 1/2(x - 7)

Step-by-step explanation:

Point slope form is y - y1 = m (x - x1)

So find m = y2 - y1/ x2 - x1, so m = -1 - 7 / -9 - 7, m = -8 / -16 so m = 1/2

Then sub your (7,7) so y - 7 = 1/2(x - 7)

can someone pls help me w this

Answers

Answer:

a = 2

b = 1

c = 1

Step-by-step explanation:

The quadratic equation, 2x² + x + 1 = 0, is expressed in the standard form as ax² + bx + c, where a ≠ 0.

Thus,

a = 2

b = 1 (1 * x = x)

c = 1

Which equation is equivalent to x + 5 = 12?
2x + 5 = 36

x = 12 = 5
x = 12 -5
Od
x = 12 + 5

Answers

x =12-5 is equivalent
Answer :
x = 12 - 5

Solution :
x+5=12
x = 12 -5
x = 7

Calculator
D
A window in the shape of a parallelogram has the dimensions
given
4 ft
What is the area of this window?
A 2 ft E
O 20 ft
0 24 ft2
0 28 ft?
O 40 ft

Answers

It is 20 Square feet

i need to write these in slope intercept form please help anyone ill give brainliest and i have an f please

Answers

Answer:

1. y= -1x+3

2. y= -7/3x+4

3. y= 7/3x+5

4. y= -3x+1

5. y= -6/5x+2

6. y= 4x-4

I hope this helped and make sure to give brainliest! :)

Complete the solution of the equation. Find the
value of y when x equals 13.
-3x - 2y = -25

Answers

Answer:

y = -7

Step-by-step explanation:

I wrote how I did

and the steps

Answer: -7

Step-by-step explanation:

Look at the figure. If m∠J = 55, find m∠JKM.



55

90

35

70

Answers

35

Step-by-step explanation:

x+55 + 90=180

x= 180-145

x=35

19. The National Health and Nutrition Survey reported that 39% of adults in the United States

have hypertension (high blood pressure). A sample of 24 adults is studied.

A. What is the probability that exactly 17 of them have hypertension? ____________

B. What is the probability that at least 10 of them have hypertension? ____________

C. What is the probability that at most 12 of them have hypertension? ____________

D. Would it be unusual if more than 8 had hypertension? Write your answer by using a

complete sentence or two

Answers

Answer:

A. P(x=17)  = 0.00121

B. P(x=10) = 0.15768

C. P(x=12)=0.0888

D. No , x can take any value more than 8

complete sentence or two

Step-by-step explanation:

Here n= 24 ;   p= 0.39 ; q = 1-0.39= 0.71

Applying binomial probability distribution

P(X=x) = nCx p^x q^n-x

Part A.

P(x=17) = 24c17 p ^17 q^24-17

P(x=17)             = 0.00121510493

Part B.

P(x=10) = 24c10 p ^10 q^24-10

P(x=10) = 0.1576877824

Part C.

P(x=12) = 24c12 p ^12 q^24-12

P(x=12)=0.08887201897

D. The random variable X can obviously take on anyone of the (n+1) integer value 0,1,23,-------,n in the binomial probability distribution

where

the trials are fixed

and the successes and failures are independent.

Which of the following correctly arranges the figures in a hierarchy based on their classification?

A.
polygon → isosceles → triangle → equilateral

B.
polygon → isosceles → equilateral → triangle

C.
polygon → triangle → isosceles → equilateral

D.
polygon → triangle → equilateral → isosceles

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that ABC ~ DEF, solve for x.

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Answer:

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Answer:

Hello, i cant see the link, try reposting

Step-by-step explanation:

Are you really in college?

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(just wondering)

Answer:

Sa ml may matutunan ka

What is 6 gallons in litres, to the nearest litre?

Answers

Answer:

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Step-by-step explanation:

Please mark me branliest?!?!

What is the lateral surface area of the
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Answers

There’s no figure below post it

Help me answer these questions fast please guys

1. When a function is called f(x), the x is also known as the is ___ of the function.
A. Range
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2. When a is called f(x), the output is also known as the ___ of the function.
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Answers

Answer:

1. D. Domain

2. C. Range

Step-by-step explanation:

Ivan was watching TV and saw an ad for the Magic Pad. He ordered one for $19.99 but they also charge a shipping and handling fee of 22%. What is the total amount of Ivan’s order? Which equation will solve the problem?

Answers

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ur mom

Step-by-step explanation:

GUYS, I KNOW THIS IS A LOT BUT BECAUSE I HAD NO ELECTRICITY I WAS UNABLE TO DO IT AND NOW I'M BEHIND. PLS HELP! I'M RUNNING OUT OF POINTS!

Answers

Answer:

Hey! I'll only help with a few..

Step-by-step explanation:

2. 2c(7c+1)

3. The expression is not factorable with rational numbers.

4. 2x^3y^2(4-11 x^2y^4)

Hope this helps!

Have a nice day!♥

Enter an equation in slope-intercept form for the line that passes through (0, 0) and is parallel to the line described by y = − 3/4x + 5.

Answers

Answer:

Step-by-step explanation:

I need to figure out how many solutions does the system of equations below have.
y=6/7x-8 and y=7/9x+10/9

Answers

Answer:

The system has one solution.

Step-by-step explanation:

To find the number of solutions of the system, we equal both equations for y.

If we have ax = b, in which both a and b are different of 0, we have one solution.

If both a and b are 0, we have infinite solutions.

If a is 0 and b is not, there are no solutions.

y=6/7x-8 and y=7/9x+10/9

So

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[tex]\frac{6x}{7} - \frac{7x}{9} = \frac{10}{9} + 8[/tex]

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 100 miles per hour. The westbound train
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Answers

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Answers

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Step-by-step explanation:

pls give me the crown pls

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Answers

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Step-by-step explanation:

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Answers

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y=x-4

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Answer:

y=x-4

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Because the slope is 1/1 or 1x and the line is on (-4,0)

Note: when the slope is 1/1 keep in mind that slope is rise/run (rise over run) which means that you must always be able to go to the right once then up from the line and always end up back on the line.

Have a wonderful day!

Please answer number 9 and here is the translation “ Luis already wrote 5 pages of a science report. He plans to write 1 page every hour. He fills in the missing values in the input and output table.” Thank you also giving brainliest

Answers

Answer:

The blanks in order for the bottom row are 8, 9. The blanks for the top row is 6.

Step-by-step explanation:

It is counting by 1's starting at 5 for the bottom row and starting at 0 counting by 1's in the top row.

Answer:

in order from left to right, 8, 9, 6

Step-by-step explanation:

Since he already wrote 5 pages and will write 1 more every hour, the top row (# of hours) + 5 will equal the bottom row (pages written). 3+5=8, 4+5=9, and 6+5=11, so from left to right, it's

8, 9, 6

Quadrilateral RUST has a vertex at R(2,3). What are the coordinates of R' after dilation by a scale factor of 3, centered at the origin, followed by the translation (x,y)->(x,y - 1)?

Answers

concept of this answer is (3,5) in the y(x)=-3

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Answers

Answer:

Step-by-step exlanation:

What you do is $18,000 x 5% which is 900 and then you do 900 x 10 = 9000!

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Answers

Answer:

384.61

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ok the 3000 does NOW MATTER  they ask about the norm. so 2500 ÷ 6.50$

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Answer:

when the doubled the pair of sandals manufactured=3000-2500

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