Matt is four years younger than twice his cousin Andy’s age. The sum of their ages is greater than 35. What is the youngest age that Andy can be?

Answers

Answer 1

Answer: 13

Step-by-step explanation:

let m = Matt's age

let a = Andy's

:

Write an equation for each statement

:

Matt is four years younger than twice his cousin Andy’s age.

m = 2a - 4

The sum of their ages is greater than 35.

m + a > 35

What is the youngest age that Andy can be?

replace m with (2a-4) from the 1st statement

2a - 4 + a > 35

3a > 35 + 4

a > 39/3

a > 13

least integer has to be a = 14

:

:

Check, find m

m = 2(14) - 4

m = 24

24 + 14 = 38 greater than 35

If a = 13

m = 2(13) - 4

m = 22

22 + 13 = 35 which is not greater than 35


Related Questions

16.6 repeating as a fraction ​

Answers

Answer:

1/6

I apologize if it is wrong.

The repeating decimal 16.666... as a fraction is 50/3.

We have,

Consider

x = 16.6666... ______(1)

Multiply 10 on both sides.

10x = 10 x 16.6666...

10x = 166.666..... ______(2)

Subtract (1) from (2).

10x - x = 166.666..... - 16.666...

9x = 150

x = 150/9

x = 50/3

Thus,

The repeating decimal as a fraction is 50/3.

Learn more about expressions here:

https://brainly.com/question/3118662

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-0.3535 is it rational or irrational​

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

The given decimal number is rational number.

What is the rational number?

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given decimal number is -0.3535.

Here, the given decimal number is repeated and terminating decimal

So, the given decimal is rational number

Therefore, the given decimal number is rational number.

To learn more about the rational numbers visit:

brainly.com/question/19161857.

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1)n/5=-10 How do we answer this question

Answers

Answer: Your answer will be [tex]\frac{-50}{5} =-10[/tex]

Step-by-step explanation: You will have

[tex](5)\frac{n}{5} =-10(5)[/tex] you will have to multiply 5 on both sides. So you will then simplify 5 and 5 to be left with n and multiply -10(5)=-50

So you get [tex]n=-50[/tex]

Major went to the Appalachian Fair. The entrance fee was $10, and he purchased 25 tickets. Write an equation to find the price of each ticket if he spent a total of $47.50. You do NOT have to solve it.

Answers

Answer:

25x+10=47.50

Step-by-step explanation:

x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.

Is 99 squared over 3 rational or irrational

Answers

Irrational hope this helps!!

The steps below show the solution to the equation 3 (2-2) = 2(x - 3).

Order the reasons for the steps. 3(2-2) = 2(2-3) 3(2) + 3(-2) = 2 (x) +2 (-3) (Select) 32 - 6 = 22 - 6 [Select] 3x - 2 = -6+6 Select) x=0 Select

Answers

hbbbbvdssaatyhhjjkjgdsaegjo

Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short.

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

13-10=3

What unit of measurement would you use to measure out the weight of a feather?

Answers

Answer:

grams

Step-by-step explanation:

3 is subtracted from the cube of a number.

Answers

this is how it’s written out

The equation [tex]x^{3} - 3[/tex] has x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].

We are given,

3 is subtracted from the cube of a number.

Let the number be x then we can write it as:

 [tex]x^{3}[/tex] - 3

We are to solve for x.

We can write the equation as:

[tex]x^{3}[/tex] - 3  = 0

x ( [tex]x^{2}[/tex]- 3 ) = 0

x = 0 and ( [tex]x^{2}[/tex] - 3 ) = 0

x = 0 and [tex]x^{2}[/tex] = 3

x = 0 and x = ±[tex]\sqrt{3}[/tex]

So we have,

x  = 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex]

Thus we have x values as 0, [tex]\sqrt{3}[/tex] and -[tex]\sqrt{3}[/tex].

Learn more about solving equations for x here:

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13 14 14 16 16 16 16 18 18 19
What is the mean?

Answers

the mean is the same thing as the average, so just add all of the numbers up and divide the total number of numbers.

(13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 19)/10 = 16

Please answer all questions step by step PLEASE HELPP!!!! I'LL MARK YOU AS BRAINLIEST

Answers

I think your teacher's just asking for the multiplied out version, so there's no work to do

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Answer:

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Step-by-step explanation:

HELP ASAPPP PLEASE HELPPPPPPP

Answers

Answer: 49.5 miles

Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)

Hope this helps!

Please Mark Brainliest!

If a numser has an even exponent can it ever be negative when it is simplified?
Explain.​

Answers

Note the pattern: A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

Answer: No, it can never be negative.

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

Explanation:

Consider the expression x^2

If x were some negative number, say x = -3, then

x^2 = (-3)^2 = 9 which is a positive result.

Picking any negative number for x will make x^2 positive.

We can think of it like this

(-3)^2 = (-3)*(-3) = 9

The two negatives multiply to a positive.

This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.

. Reason Rachel spent $36.32 in the grocery store. She paid the exact amount and used exactly 4 bills and 4 coins. What bills and coins did Rachel use?

Answers

Answer:

She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies

Step-by-step explanation:

The sum of two numbers is 4 and the difference is -6. What is the product of the two numbers?

Answers

Answer: 4

Step-by-step explanation:

the sum of two numbers is 4

the two numbers are 2

2+2=4-6

hope this helps

plz mark brainliest

OMG PLEASE HELPPPPP I NEED THIS TO BE TURNED IN , IN LIKE 10M

Answers

Answer:

use 5x for each question

Step-by-step explanation:

its says u should get 5x out of them

Tony is 1/2 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up with Tony?

Answers

Answer: Another way of looking at this problem, is that Laura will "gain" 2 miles on Tony in 1 hour. Why? She is going 7 miles in 1 hour, while Tony is only going 5. 7-5 = 2.

 

However, Tony is only .5 miles ahead and the question asks how long will it take for her to catch up, not to overtake him or beat him in some race.

 

I would make a simple ratio here. If in 1 hour/she beats him by 2 miles, x hours/she beats him by .5 miles.  

 

Another way to write that is 1/2 = x/.5

 

If you solve the equation, you get (by cross-multiplication) 2x = .5, x = .5/2, x =1/4.

 

Now, we are dealing with hours, so since there are 60 minutes in one hour, multiple the value you obtain for x by 60 minutes (60*1/4) = 15 minutes.  

 

Therefore, it will take Laura 1/4 of an hour, or 15 minutes, in order to catch up with Tony

Step-by-step explanation:

I need help knowing which graphs represent that y is a function of x

Answers

Answer:

B, C, F

Step-by-step explanation:

The choices B, C, and F are right because if you do the Vertical line test, the vertical line only intersects one point in the graph. The function only has one output value for each input value.

1.5x + 12 = 0.5(5x - 8) a. 1 b. 2 c. 16 d. 20

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=16

Step-by-step explanation:

its C

Answer:

x=16

Step-by-step explanation:

First of all we want to distribute 0.5 on 5x and -8

so we are going to divide by 2

1.5x + 12 = 2.5x -4

now we want to put the variables on one side and the numbers on the other side of the equal sign

and to

1.5x +12 = 2.5x -4

        -12             -12

1.5x = 2.5x - 16

now we want to move the variable that is on the right to the left side

1.5x = 2.5x - 16

-2.5x  -2.5x

-x = -16

change the signs and the answer is

x=16

EXTRA STEP

you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal

Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior (19 points and brainliest)

Answers

Answer:

Step-by-step explanation:

I think we need to define domain and range first.

Domain is the set of all x values where the function f(x) exists or is defined.

Range is the set of all y values that will result from substituting all x values (the domain) into the function.

So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.

So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.

The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.

The domain as an inequality would be -∞ < x < ∞

The range as an inequality would be -∞ < y < ∞

As a set notation:

Domain {x | -∞ < x < ∞}

Range {y | -∞ < x < ∞}

In interval notation:

Domain (-∞ , ∞)

Range (-∞ , ∞)

End behavior:

As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.

(-2/3)-(-1/6) idk the answer it’s hard

Answers

Answer:

-0.5

Step-by-step explanation:

take -2/3 and add it to 1/6

if the spinner lands on green 10 times out of 60 spins,which statement true

Answers

Answer:

The spinner lands on green 5 times less than expected

Step-by-step explanation:

Since not provided, it is assumed that the spinner has 4 colors.

Probability of green is one out of four = 1/4

Probability of green out of 60 spins:

1/4*60 = 15 times

As spinner lands on green 10 times, then it is 5 times less than expected.

Answer:

The spinner lands on green 5 times less than expected

A football team gains 5 yards, then loses 2 yards then gains another 6 yards, then loses 3 yards what is their net gain or loss?

Answers

Answer:

6 yards net gain

Step-by-step explanation:

i need help one a question any helps out here pls and thank you

Answers

Answer:

2 is your answer np... ‍♂️

Okay well. I’m not Goan try to confuse you. The bottom one is 2m+1=5
Which means


M is 2 okay

Which fraction is equal to 6?

Answers

Answer:

12/2

Step-by-step explanation:

This seller must sell at least 120 newspapers each month. He sold 85 newspapers in the first three weeks of the month. How many more newspapers must he sell by the end of the month? Make an inequality to show this scenario as a math problem, be sure to use the correct symbols, and share your answer!

Answers

Answer:35

120-85=35

120>85

Please I need help!!!

Answers

Answer:

10 1/2

Step-by-step explanation:

use  a calculater

AC CE and D is the midpoint of CE. IF CE 10x + 18, DE =7x -1, and BC = 9x - 2, find AB, AB =

Answers

Answer:

     If you mean: AC=CE, the answer is:  AB = 24

Step-by-step explanation:

D is the midpoint of CE, then

CD = DE = 0.5CE = 0.5(10x+18) = 5x + 9

So:   5x + 9 = 7x - 1

            -9          -9

        5x  =  7x - 8

        -7x      -7x

       -2x  =  -8

      ÷(-2)       ÷(-2)        

          x  =  4

AC = CE = 10x + 18 = 40 + 18 = 58

BC = 9x - 2 = 36 - 2= 34

AB = AC - BC = 58 - 34 = 24

D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.

Since DE = 7x-1, which also means CD = 7x-1.

CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.

Therefore, x = 5 and CE = 68.

Since AC is congruent to CE, AC = 68.

Assuming the point B is somewhere between AC.

Since BC = 9x-2 and x = 5, which means BC = 43.

AC - BC = AB, so 68 - 43 = 25.

Therefore, AB = 25

Please answer and give an explanation.

Answers

Answer:

h=12.5

Step-by-step explanation:

It’s a right triangle, so you can use the Pythagorean Theorem.  

9.2²+8.5²=h²

84.64+72.25=h²

156.89=h²

√156.89=h

h=12.5255

h=12.5

1 What is an appropriate "2nd step" when solving the equation below? 2/3x - 8= 12 Add 8 to each side. Divide both sides by 3. Multiply both sides by 2. Multiply both sides by 3/2.

Answers

Answer:

multiply both sides by [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x - 8 = 12

first step

Add 8 to both sides

[tex]\frac{2}{3}[/tex] x = 20

second step

Multiply both sides by [tex]\frac{3}{2}[/tex] to clear the fraction

x = [tex]\frac{3}{2}[/tex] × 20 = 30

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