Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation

Answers

Answer 1

Answer:

simultaneous equations

Step-by-step explanation:

phils age =7x

Peter age=x

scenario 2

phils age = 4(7x)

Peter age= 2x-2

[tex]7x + x = 4(7x) + 2x - 2[/tex]


Related Questions

Father is four times the age of his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years, how many times he would be of his daughter's age?

Answers

Answer:

The father is 40 years old, and his daughter is 10 years old.

Step-by-step explanation:

Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:

F = 4D

F + 5 = 3D

F = 40

D = 10

40 + 5 = 3 x (10 + 5)

45 = 45

Therefore, the father is 40 years old, and his daughter is 10 years old.

A 16-ounce package of frozen peas costs
85¢. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.

The peas cost ___ cents per ounce.

Note: Rounding to the nearest tenth of a cent is the same as rounding to the nearest thousandth of a dollar.

Answers

Answer:

5.3 cents

Step-by-step explanation:

85/16

because all 16 ounces cost 85 cents

Answer:

5.3 cents.

Step-by-step explanation:

the LCM of 30 , 45,90​

Answers

Answer:

540 is the answer

Step-by-step explanation:

hope u liked!

which of the following represents x= 1/2 y written in general form?

Answers

Answer:  Choice C

2x-y = 0

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

Work Shown:

x = (1/2)y

2x = y ... multiply both sides by 2

2x-y = 0 ... subtract y from both sides

This is in standard form Ax+By = C, where A,B,C are integers. In this case, A = 2, B = -1, C = 0.

Within 9 hours, the number of stars seen went from 190 to 33 as the sun started to rise. Find out how many stars are getting hidden by the sunlight each hour.

Answers

Answer:

Approximately 17 stars

Your best friend made 60% of the 40 shots he took. how many shots did your friend make?​

Answers

Answer:

24

Step-by-step explanation:

We need to find 60% of 40

60% * 40

.60 *40

24

He makes 24 shots

Step-by-step explanation:

60%/100%×40

60%/10%×4 (0 is cancelled)

6×4 (60 and 10 Cancelled)

24 Answer

*HELP*
calculate the pay for the following day of a weekly time card given a wage of $12 an hour

Answers

Answer:

96 dollars and 50 cents

Step-by-step explanation:

which of the statement is true

Answers

Answer:

c

Step-by-step explanation:

Profit = 4.5 (240)-1080 = 0

the maximum profit would occur when u sell all 350 tickets,

profit = 4.5(350)-1080 = 495 (not a nor b)

Answer:

The statement that is true is C

Lúc 6 giờ, một ô tô xuất phát từ A đến B với vận tốc trung bình 40km/h. Khi đến B,

người lái xe làm nhiệm vụ giao nhận hàng trong 30 phút rồi cho xe quay trở về A với vận

tốc trung bình 30km/h. Tính quãng đường AB, biết rằng ô tô về đến A lúc 10 giờ cùng

ngày.

Answers

Answer:

Đáp án:

60km

Step-by-step explanation:

30 phút

=

1

2

giờ

Ô tô đi từ A đến B rồi từ B về A mất số thời gian là:

10

6

1

2

=

3

,

5

giờ (không tính thời gian nhận hàng)

Gọi độ dài quãng đường AB là

x

(km)

Ta có:

Thời gian đi từ A đến B là

x

40

(quãng đường chia vận tốc)

Thời gian đi từ B đến A là

x

30

Ta có phương trình:

x

40

+

x

30

=

3

,

5

x

=

60

(km)

Vậy quãng đường AB là 60km.

Solve for x:
( x - 6 ) ^ 2 = 7

Answers

Answer: x= 6 +/- root of 7

Step-by-step explanation:

1. Expand the left hand side: e.g, 3^2 = 3×3 =9

(x-6)(x-6) = 7

2. Multiply the brackets first by "separating" one of them, and take 7 to the left hand side:

x(x-6) - 6(x-6) =7

x^2 - 6x -6x +36-7=0

Simplify by adding like terms

x^2 -12x +29=0

3.Now your equation is in the form ax^2+bx + c =0, it means you can use the quadratic formula which is x= [-b +/- root of (b^2 - 4ac)]÷ 2a

Then SUBSTITUTE where:

a=1

b= -12

c=29

Therefore, x should be 6+ root of 7 OR 6- root of 7

Answer:

uhhhh okay thank you for removing my answer

Step-by-step explanation:

x2 +15-8x entre 3-x ayuda pliz

Answers

By using Pythagorean theorem or just guesswork, we can see that: (x-3)(x-5) = 0, so the roots of the equation are x = 3, 5.

5×12÷[-12÷{15+(4-3)}]​

Answers

Answer:   -80

Step-by-step explanation:

calculate w reasons the size of the unknown angles ​

Answers

Answer:

a= 75°

β= 30°

Step-by-step explanation:

α = 75° This is because triangle PQR isosceles. Thus two of its angles are equal and these two are angle α and the one labelled 75.

β = 30° This is because angles in a triangle sum up to 180°. We already know two of these angles. To find β you say 180 - ( 75 × 2)

The answer becomes 30°.

HOPE THIS HELPED

Your brother tells you that he went to a baseball game and spent $19 on hot dogs and a soda. If hot dogs cost $4 and his one soda was $3, how many hot dogs did he eat? Write a two-step equation for this scenario then solve for the number of hot dogs.

Answers

Answer:

he ate 4 hot dogs

Step-by-step explanation:

$19-$3=$16

$16÷4=4

Ivana wants to give books from her store to the local library. She needs to place 8 books in each box. If she has 1,125 books to give away, how many boxes will she need

Answers

Answer:

140.625

Step-by-step explanation:

1125 books, placed into 8 per boxes, 1125/8=140.625

are there any inputs that cannot be evaluated by the function 6/x-3?

Answers

Answer:

as written

[tex]\frac{6}{x} -3[/tex]  zero would not be allowed....

BUT !!! I think that your question

is ......

[tex]\frac{6}{x-3}[/tex]    then the answer is "3"

Step-by-step explanation:

black pencils cost 75 naira each and colour pencils cost 105 naira each if 24 mixed pencils cost 2010 naira how many of them were black hint let there be x black pencils thus there are (24-x) coloured pencils.​

Answers

Answer:

number of black pencils is 17

2( 5 1 ​ m− 5 2 ​ )+ 5 3 ​ 2, left parenthesis, start fraction, 1, divided by, 5, end fraction, m, minus, start fraction, 2, divided by, 5, end fraction, right parenthesis, plus, start fraction, 3, divided by, 5, end fraction

Answers

Answer:

2/5m - 1/5

Step-by-step explanation:

Given the equation :

2(1/5m - 2/5) + 3/5

First step:

Open the bracket by multiplying values in the bracket by 2

2/5m - 4/5 + 3/5

-4/5 + 3/5 = (-4 + 3) / 5 = - 1 / 5

Hence,

2/5m - 4/5 + 3/5 = 2/5m - 1/5

= 2/5m - 1/5

The mean length of a group of fish is 14.2 inches. A fish that is 41 inches long
joins the group. How does this fish's length affect the mean?
A. The new mean length will be less than 14.2 inches.
B. The new mean length will still be 14.2 inches.
C. The new mean length will be 41 inches.
D. The new mean length will be greater than 14.2 inches.

Answers

The fish's length will affect the mean because the new mean length will be less than 14.2 inches. That is option A.

What is mean?

Mean is defined as the sum of all the data values divided by the count of values in a data set.

What a new value is added to a data set such as the group of fishes, it will affect the fish mean by reducing it to less than its former mean value which is 14.2 inches.

Therefore, the fish's length will affect the mean because the new mean length will be less than 14.2 inches.

Learn more about mean here:

https://brainly.com/question/1136789

#SPJ1

11. The student government is selling flowers for homecoming. The project costs them $20 for advertising and
$3 for each flower sold.
a. Evaluate the expressions 3n+20 and 3(n+20) when n = 4.
b. Which expression shows their total cost? How do you know?

Answers

Answer:

32

Step-by-step explanation:

3(n+20) = 3(4+20) = 3(24) = 723n+20 = 3(4)+20= 12+20=32

If n represents the amount of flowers they sold, then the correct answer should be 32. The cost for each flower they sold would be 3 x 4 and then add $20 for advertising.

Cedric and Insha solved the same equation using the calculations below.

Cedric’s Work
Insha’s Work
z minus 4.5 = negative 1.5. z minus 4.5 + 4.5 = negative 1.5 + 4.5. z = 3.
z minus 4.5 = negative 1.5. z minus 4.5 + (negative 4.5) = negative 1.5 + (negative 4.5). z = negative 6.

Which statement is true about their work?

Answers

The first working out is correct, z = 3

Express an angle of square into grade.​

Answers

Answer:

please solve my questiob check my profile

In the diagram, the measure of angle 3 is 105°
Which angle must also measure 105°
1
4
6
8​

Answers

Answer:

the answer will be 1 on the basis of the option

Step-by-step explanation:

and other are 7 5

similar bars of soap are sold in packs of 3 for $2 or packs of 8 for 5.20 find the difference in the price for 48 bars of soap

Answers

Bar 1:

3 = $2
48 divided by 3 = 16
$2 x 16 = $32

—————————————————

Bar 2:

8 = $5.20
48 divided by 8 = 6
$5.20 x 6 = $31.2

—————————————————

Difference:

$32 - $31.2 = $0.8

So when the two sales are compared, the ‘8 for 5.20’ sale is cheaper by $0.8.

—————————————————

Pls give me a brainliest if this helped thx



Which systems of inequality's does this graph represent

Answers

Answer:

The second one....

Less than "3" and Greater than "2"

Step-by-step explanation:

I need the answer to this

Answers

Answer:

C

Step-by-step explanation:

it is rewritten in the form of 60/(2^x)

The answer to your question is C.

Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.

Use the graph to answer the questions.

Who is at the trail start at 9:00 a.m.?
✔ Andy

Who runs fastest?

When do Andy and Berta cross paths?
✔ 9:08 a.m.

Who is closest to the 1.5 mile mark after 6 minutes?
Berta

Answers

Answer:

Who is at the trail start at 9:00 a.m.?

Andy

Who runs fastest?

When do Andy and Berta cross paths?

9:08 a.m.

Who is closest to the 1.5 mile mark after 6 minutes?

Berta

Step-by-step explanation:

Answer: Andy, Caedin, 9:08 A.M. and Berta!

Step-by-step explanation: On Edge!!!!

154.1 ÷ 0.5 as a mixed number

Answers

154/5 hope this help

Answer:

308.2

Step-by-step explanation:

= 308.2

please answer this!!​

Answers

Answer:

16

Step-by-step explanation:

if angle c is 45 then angle A is 45 also

Hence AB is equal to BC

Which expression is equivalent to 17x − 8x + 2 and why?

2 − 9x, because (17x − 8x) + 2 = −9x + 2 = 2 − 9x
2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x
11x, because 17x − 8x + 2 = 9x + 2 = 11x
7x, because 17x − 8x + 2 = 17x − 10x = 7x

Answers

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         Combine like terms.

                   = 9x + 2

Like terms have same variable of same powers.

Answer:

2 + 9x, because (17x − 8x) + 2 = 9x + 2 = 2 + 9x

Step-by-step explanation:

17x - 8x + 2 = (17x - 8x) +2         

Combine like terms.                  

 = 9x + 2 Like terms have same variable of same powers.

Still stuck? Get 1-on-1 help from an expert tutor now.e3radg8 and 3 more users found this answer helpful

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