This is for algebra 1

Answer:

Dad=35, Son=15

Step-by-step explanation:

Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:

x+20−5=3(x−5)

x+15=3x-15

x=15

So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!

Answer:

108.51

Step-by-step explanation:

Answer:

I deposit $500 in my bank from my check this week. I have to withdraw $550 from my bank to pay my medical bills. I am short -55/55 dollars so I wait to pay my medical bills.

I owe $60 to my school for damage on a school laptop. I only have $5 so I am 55 dollars short.

I withdraw $2,000 from my bank to deposit $1950 a week later. I want to deposit the same amount of money I put last week. I am short 55 dollars.

Step-by-step explanation:

I put different scenarios because I didn't know if any of them were good enough.

Answer:

[tex]Each =\pounds 1121[/tex]

Step-by-step explanation:

See comment for complete question.

Given

[tex]Total = \pounds 8968[/tex]

[tex]Projects = 8[/tex]

Required

Determine the amount allotted to each

From the question, we understand that each project gets each allocation.

So, the amount of each is:

[tex]Each =\frac{Total}{Projects}[/tex]

[tex]Each =\frac{\pounds 8968}{8}[/tex]

[tex]Each =\pounds 1121[/tex]

Each project gets £1121

Answer:

9 mph

Step-by-step explanation:

Speed of current = 6 mph

Distance to travel one way = 22.5 miles

Let speed of the ferry be [tex]x[/tex] mph

Total time taken for round trip is 9 hours

One way the ferry will be going with the current and in the other way the ferry will be going against the current so

[tex]\dfrac{22.5}{x+6}+\dfrac{22.5}{x-6}=9\\\Rightarrow \dfrac{x-6+x+6}{x^2-36}=\dfrac{9}{22.5}\\\Rightarrow \dfrac{2x}{x^2-36}=0.4\\\Rightarrow \dfrac{2x}{x^2-36}-0.4=0\\\Rightarrow 2x-0.4x^2+14.4=0\\\Rightarrow 0.4x^2-2x-14.4=0\\\Rightarrow 4x^2-20x-144=0\\\Rightarrow x=\dfrac{-\left(-20\right)\pm \sqrt{\left(-20\right)^2-4\times 4\left(-144\right)}}{2\times 4}\\\Rightarrow x=9,-4[/tex]

So, the speed of the boat in still water needs to be 9 mph both ways.

[tex]7x \times x - 5[/tex]

Pemdas!

7x·1x=7x

[tex]7x - 5[/tex]

This equation can't be evaluated, but you could make up. an answer by yourself, this is just the other way of saying x7·x-5

Answer:

7x²-5

Step-by-step explanation:

hope it helps

Answer:

6x^2-5x+1

Step-by-step explanation:

Use the foil method:

multiply 2x with 3x and -1.

then multiply -1 with 3x and -1

when multiplied, you should have gotten 2x×3x=6x^2, then 2x×-1, then -1×3x=-3x, then you put all of the answers in order from variables with exponents to normal variables to non variables

Answer:

I think it's -14

Step-by-step explanation:

x = 0 so the x won't be included but

-2 • x = -2x

-12 • x = -12x

-2x + (-)12x = -14

hope this helps :)

Answer:

10 miles

Step-by-step explanation:

Answer:

46-38-27-15+13+2

=-17

Answer:

50.65 grams

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total amount of salt =  38.1 + 12.55 = 50.65 grams

38.10 +

12.55

50.65

Answer:

First write it as 0.03 × $4,000. Then multiply 3 × $4,000 = $12,000. Lastly put the decimal point where it gives the answer two decimal digits: $120.00.

Step-by-step explanation:

Answer:

3% of 4,000 = 120.

Step-by-step explanation:

To find the answer we have to divide 3 by 100, which equals 0.03.  Now multiply 0.03 by 4,000 and we get 120.  Therefore, 120 is our answer.

Answer:

please give brainiest

PnQ={11,17,13}

PuQ={2,3,5,7,11,13,17,15,14}

please mark brainiest thank you

Answer:

(4p^2+3)(p+2)

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

To find what needs to be added subtract the two numbers:

19/21 - 11/21 = 8/21

You need to add 8/21 to 11/21 to get 19/21

If the perimeter is 3(2v-6)

Than

Pull out like factors : 2v - 6  =   2 • (v - 3)

Final result : 6 • (v - 3)

Given the result your answer would be 6.

Answer:

C

Step-by-step explanation:

The solution is,  the measure of ∠ZYC is 108 degrees.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Given:

m∠XYZ = 72 degrees

m∠XYZ and m∠ZYC form a linear pair.

Let's find the measure of ∠ZYC.

To find the measure of angle ZYC, apply the Linear Pair of Angles theorem which states that the sum of angles that form a linear pair is 180 degrees.

Hence, we have:

m∠XYZ + m∠ZYC = 180

72 + m∠ZYC = 180

• Subtract 72 from both sides:

72 - 72 + m∠ZYC = 180 - 72

m∠ZYC = 180 - 72

m∠ZYC = 108 degrees.

Therefore, the measure of ∠ZYC is 108 degrees.

ANSWER:

C. 108°

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

Complete question:

If ZXyz and ZZYC form a linear pair and the measure of ZXYZ is 72°, whatis the measure of ZZYC?O A. 28°B. 18°C. 108°D. 72°

Answer:

2 is the correct answer

hope this will help you

Answer:

37

Step-by-step explanation:

k(x) = 4x2 + 1

[tex] = 4( - 3) {}^{2} + 1 \\ 4(9) + 1 \\ 36 + 1 \\ 37[/tex]

Answer:

x= −4 /3  y+  2/ 3

Step-by-step explanation:

Answer:

s7= -7

Step-by-step explanation:

Answer:

y=2x-2

Step-by-step explanation:

The slope is 2 and your y intercept is already given as -2.

Slope intercept is basically y=mx+b

plug it in so you get y=2x-2

Answer:

x= 7

Step-by-step explanation:

Theorem:  The sum of the angles of a triangle is 180

Memorize that theorem

8x - 9 + 63 + 70 = 180

8x + 124 = 180

8x = 56

x= 7

Answer:

5,000000

Step-by-step explanation:

so imultiplyied

Answer:

The first one is 0.6

The second one is -2.8

The third one is -3

Step-by-step explanation:

Have a nice day! :)