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

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

21.6 ft

Step-by-step explanation:

Similar Triangles

6/10=B/36

B=21.6

PLEASEE HELP !!! 30 POINTSSS
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work

Answers

Answer:

30-60-90 is a special right triangle

if the side opposite to the 30 degree angle = x,

then the side opposite to the 90 degree angle = 2x

and the side opposite to the 60 degree angle = x*sqr3

2x=14

x=7

side BC is opposite to the 30 degree angle, so it is 7 cm

side AB is opposite to the 60 degree angle, so it is 7sqr3 cm

Answer:

clearer pic?

Step-by-step explanation:

a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5

Answers

Write an equation for each one set the equal to each other and solve.

A: 35 + 3x

B: 27.50 + 4.50x

35 + 3x = 27.50 + 4.50x

Subtract 27.50 from both sides:

7.50 + 3x = 4.50x

Subtract 3x from both sides

7.50 = 1.50x

Divide both sides by 1.50

X = 5

Answer: 5

who wants to text back and forth pls add me

Answers

Answer:

..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?

64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0

Answers

Answer:

| x | = − 5

Step-by-step explanation:

Let's solve your equation step-by-step.

| x | = − 5

Solve Absolute Value.

| x | = − 5

No solutions. (Absolute value cannot be less than 0.)

Answer:

No solutions.

I hope this helps :)

Answer:

| x | = -5

Step-by-step explanation:

Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!

is this correct ? if not what’s the correct answer?

Answers

Answer:

YES 68 is the correct answer

Factorize: 2ay + 10ax - 3by - 15bx​

Answers

Answer:

(2a-3b)(y+5x)

Step-by-step explanation:

2ay + 10ax - 3by - 15bx

2a(y+5x)-3b(y+5x)

(2a-3b)(y+5x)

Answer:

(y+5x) (2a - (3b))

Step-by-step explanation:

2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)

2a (y+5x) + 3b (-y - (5x))

(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)

1-w+w2 what is complex cube ​

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex]1 + w[/tex]

Step-by-step explanation:

[tex]1 - w + w2[/tex]

use the commutative property to reorder the terms

[tex]1 - w + 2w[/tex]

collect like terms

[tex] = \: \: 1 + w[/tex]

hope it helps

HELPPPPPP WIL GIVE BRANELISTTTT

Answers

Answer: i think the answer is B

Step-by-step explanation:

look at the right angle triangle ABC 75

Answers

Answer:

A and B are equal to 52.5°

Step-by-step explanation:

One angle has to be 75°, so let's say that angle C is 75°. You need to subtract 75 from 180, which is 105°. Now, divide 105° by 2, which equals 52.5. Your answer is: Angles A and B are both equal to 52.5

explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​

Answers

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

(200 + 40 + 16) + 4 = 4 +  (200 + 40 + 16)

Using the distributive law;

4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: https://brainly.com/question/6958503

mr. jessup and mr allen i ready mathematics pages 77 and 78

Answers

If this is i-ready it shouldn’t be difficult nor should you be using Brainly if it’s a diagnostic or something.

Given the function below find f(0).

f(x)=x2−3x+5

Group of answer choices

-5

0

5

10

Answers

Answer:

5

Step-by-step explanation:

f(x) = x² - 3x + 5

f(0)

putting x as 0 in the equation

f(0) = 0² - 3(0) + 5

= 0 - 0 + 5

= 5

connor took out a 4-year loan at 4% If he has to pay $240 how much principle did he borrow

Answers

Answer:

The principal he borrowed is $1500

Step-by-step explanation:

Let's assume principal he borrowed as P

now, we can use formula

where

SI is simple interest

r is interest rate

t is time in years

we are given

r=4%

SI=240

t=4

now, we can plug this value

now, we can solve for P

So,

The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!

Helpppppppppp plssssssssss

Answers

Answer:

12 in.

Step-by-step explanation:

We already know that the bottom line all together is 19 inches, and the line for the top of the square box at the end is also 7in. We can then infer that the top line of 7 cm is the same as the bottom line, so we therefore do 19 - 7 which equals to 12. Hope this helps.

{(x,y) | 2x - 3y < 6, x ∈ I, y ∈ I}
{(x,y) | -2x +5y > -10, x ∈ I, y ∈ I}

Answers

Answer:

1. (-10,-5)

2.(1/2,-1) 3. All real numbers infinite solution 4.(3 9)

Step-by-step explanation:

Suppose that $2000 is loaned at a rate of 12%, compounded semiannually. Assuming that no payments are made, find the amount owed after 3 years
Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

The total amount owed after three years is $2,837.04.

The formula that can be used to determine the total amount owed after 3 years is:

FV = A(1 + r/m)^nm

FV = Future value of debt A = amount borrowed  R = interest rate = 12/2 = 6% m = number of compounding = 2  N = number of years = 3

$2000 x (1.06)^6 = $2,837.04

To learn more about future value, please check: https://brainly.com/question/18760477

Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market

Answers

A) checking
This is because it’s not a savings so it just goes in and out

An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?

Answers

$23, a $20 bill plus $3 tip

An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))

Answers

Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)

the length of a rectangle is five times it’s width. if the perimeter of the rectangle is 72 yd find its area

Answers

Answer:

Try sketching an image of the rectangle. Area = length x width. To find the perimeter you would add up the length of all four sides.

Step-by-step explanation:

Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
. He is 20 feet from the base of the tree when he measures the angle. What is the height of the tree rounded to the nearest hundredth?

Answers

Answer:

  86.63 ft

Step-by-step explanation:

The tangent relation applies.

  Tan = Opposite/Adjacent

  tan(77°) = (tree height)/(20 ft)

  tree height = (20 ft)·tan(77°) ≈ 86.63 ft

_____

Additional comment

It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.

A 2-pack of light bulbs costs $0.73. What is the unit price, rounded to the nearest cent?

Answers

Answer:

37 cents.

Step-by-step explanation:

Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.

Name three equal ratios from the graph

Answers

250:10

125:5

100:4

Step-by-step explanation:

ratio of y to x

the LCM and GCF of 66 and 101

Answers

Answer:

GCF: 1

LCM: 6,666

Step-by-step explanation:

I hope this helps!

, find the value of
[tex] {x}^{2} + \frac{1}{ {x}^{2} } [/tex]


Answers

[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]

The line 2x + 3y = 8 meets the curve 2x^2 + 3y^2 =110 at the points A and B. Find the coordinates of A and B.

extra: This is the first time I’ve seen this type of question without a diagram. Pls help!

Answers

Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).

Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)

Substitute (3) into (2),

2 [(8 - 3y) / 2]² + 3y² = 110

(8 - 3y)² + 3y² = 220

15y² - 48y - 156 = 0

Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8

OR y = -2, then x = [8 - 3×(-2)] / 2 = 7

Answer:

The coordinates are A. (-3.8, 5.2) and B. (7, -2).

Step-by-step explanation:

At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:

2x^2 + 3y^2 = 110

2x + 3y = 8

From the above equation

x = (8 - 3y)/2

So substituting for x in the first equation:

2 [(8-3y)/2]^2 + 3y^2 = 110

(8-3y)^2 / 2 + 3y^2 = 110

Multiply through by 2:

(8 - 3y)^2 + 6y^2 = 220

64 + 9y^2 - 48y + 6y^2 - 220 = 0

15y^2 - 48y - 156 = 0

3(5y^2 - 16y - 52) = 0

(5y - 26)(y + 2) = 0

y = 26/5, 2

y = 5.2,  -2.

So substituting in 2x + 3y = 8

When y = -2:

2x - 6 = 8

2x = 14

x = 7.

When y = 5.2

2x + 3(5.2) = 8

2x = 8 - 15.6 = -7.6

x = -3.8.

what is x and what is y?

Answers

Step-by-step explanation:

i hope the illustrations are clear

What is the length of the line?


Answers

Answer:

5.4

Step-by-step explanation:

You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4

HELP MEPLZPLZPXLZOSNSJSJSJSSJJS

Answers

Answer:

F. 30  G. 8

Step-by-step explanation:

F. 9 / 9 + 6 = 18 / BC

9 + 6 = 15

9 / 15 = 18 / BC

9 x 2 = 18

15 x 2 = 30

G. 9 / 6 = 12 / EC

9/6 reduces to 3/2

3/2 = 12/EC

3 x 4 = 12

2 x 4 = 8

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