the sum of two numbers is 53. their difference is 17. Find the numbers.

Answer:

-16 =x

Step-by-step explanation:

−6 = 3/8x

Multiply each side of the equation by 8/3 to isolate x

-6 *8/3 = 8/3* 3/8 x

-48/3 = x

-16 =x

Answer:

Step-by-step explanation:

-6=3/8x

To make this easier to visualize:

3/8= 0.375

-6=.375x

Divide both sides by .375

The right side cancels.

-6/.375=-16

So x=-16

Answer:

[tex]\frac{3}{12} and \frac{8}{12}[/tex] are the fractions with common denominator

Step-by-step explanation:

fractions are  1/4 and 2/3

[tex]\frac{1}{4} and \frac{2}{3}[/tex]

To get common denominator we take LCD

LCD of 4  and 3 is 12

To get 12 in the denominator we multiply first fraction by 3  and second fraction by 4

[tex]\frac{1*3}{4*3} and \frac{2*4}{3*4}[/tex]

[tex]\frac{3}{12} and \frac{8}{12}[/tex]

Answer:

x = 10

Step-by-step explanation:

2.1   Adding a fraction to a whole  

Rewrite the whole as a fraction using  10  as the denominator :

          7x     7x • 10

    7x =  ——  =  ———————

          1        10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole  

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions  

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7x • 10 + 1     70x + 1

———————————  =  ———————

    10            10    

Final result :

 70x + 1

 ———————

   10    

Processing ends successfully

Answer:

108

Step-by-step explanation:

Givens

Equation

Solution

Answer

Comment

This is a very tricky problem. It is not the usual way that 3 part ratios are handled. Thanks for posting.

Answer:

red  1/2,

blue  2/5  

The lines do not have the same slope so they are  not parallel

Step-by-step explanation:

We can find the slope of the red line by using the formula

m = (y2-y1)/(x2-x1)

  We have the points (0,1) and (2,2)

m= (2-1)/ (2-0)

  = 1/2

We can find the slope of the blue line by using the formula

m = (y2-y1)/(x2-x1)

  We have the points (0,-5) and (5,-3)

m= (-3--5)/ (5-0)

  = (-3+5)/(5-0)

  = 2/5

The lines  do not have the same slope so they are  not parallel

Answer:

The value not permissible for a is -3.

Step-by-step explanation:

Considering real numbers, the expression is undefined for any value a for which the denominator expression is zero.

[tex]\frac{a^2}{2a+6}, \,\,\,2a+6\neq 0\implies a\neq -3[/tex]

The expression is valid for all real numbers, except -3.

Answer:

a≠-3

Step-by-step explanation:

We cannot divide by zero, so the denominator cannot be zero

2a+6≠ 0

Subtract 6 from each side

2a+6-6≠ 0-6

2a ≠-6

Divide each side by 2

2a/2 ≠-6/2

a≠-3

Answer:

The answer is A

Step-by-step explanation:

When two parallel lines are crossed by another line the angle of 1 will be equal to 4, 5, and 8. The angle 2 will be equal to 3, 6, and 7. Since a straight line has a degree of 180, the subtracted degree of 180-140=40 which would mean 2=40 which 2=6 so 6=40.

Answer:

40°, A

Step-by-step explanation:

What are we going to do to figure out measure 6?

First of all, we know that measure 5 and measure 6 are equal to 180 degrees.

Second of all, we know that measure 1 and measure five are corresponding angles, which means they are congruent. If measure one is 140 degrees, measure 5 would also be 140 degrees.

So we know that measure 5 and measure 6 are equal to 180 degrees. We can now make an equation...

Let x = measure 6

25 can go into 212 a total of 8 times with a remainder.

 To determine how many times 25 can go into 212, we perform the division of 212 by 25.

This is a simple division problem where we are looking for the quotient, which represents the number of times 25 can be subtracted from 212 before the remainder is less than 25.

  Let's perform the division:

 [tex]\( \frac{212}{25} = 8 \)[/tex] with a remainder of 12.

This means that 25 can be multiplied by 8 to get as close as possible to 212 without exceeding it.

The difference between 212 and 200 is 12, which is the remainder.

  Therefore, 25 can go into 212 a total of 8 times with a remainder of 12."

Answer:

6x^2y^3

Step-by-step explanation:

6x^2y^4+18x^3y^5-12x^5y^3

Lets check the coefficients first:-

6, 18, 12 - The GCF is 6.

x terms:-  x^2, x^3 and x^5 . The GCF is x^2.

y terms:- y^4, y^5 and y^3. The GCF is y^3.

Answer:

6x^2y^3

Step-by-step explanation:

6x^2y^4+18x^3y^5-12x^5y^3

Lets break each term into prime factors

6x^2y^4  =3*2*x*x*y*y*y*y

18x^3y^5 = 9*2^3y^5  = 3*3*2*x*x*x*y*y*y*y*y

12x^5y^3 = 4*3x^5y^3 = 2*2*3*x*x*x*x*x*y*y*y

Each has one 2, one 3, two x's and three y's

So the greatest common factor is

2*3*x*x*y*y*y

6x^2y^3

Answer:

10,300?

Step-by-step explanation:

Answer:

The exact answer is 27 * pi

or the approximate answer is 27 * 3.14 = 84.78

Step-by-step explanation:

First step is to find the area of the circle

A = pi * r^2

A = pi * 6^2

A = 36* pi

We are missing 90  degrees of the circle  or 90 out of 360.

That means we keep 360 - 90 = 270  or 270/360

The fraction we are keeping simplifies to 3/4  (divide top and bottom by 90)

Multiply the area by the fraction that we kept.

36 pi * 3/4 = 27 * pi

The exact answer is 27 * pi

or the approximate answer is 27 * 3.14 = 84.78

Answer:

2/3   in

Step-by-step explanation:

We can use ratios to solve this problem.

1/4 inch               x inches

--------------    = ---------------------

3 /8 ft                      1 ft

Using cross products

1/4 * 1 = 3/8 * x

Multiply each side by 8/3 to isolate x

1/4 * 8/3  = 3/8*8/3 x

2/3 = x

Answer: A

Step-by-step explanation:

m(x) = x² + 2  

n(x) = 5x + 9

(m*n)(x) = (x² + 3)(5x + 9)

            = x²(5x + 9) + 3(5x + 9)

            = 5x³ + 9x² +  15x + 27

Answer:

[tex]5x^3 +9x^2 +15x+27[/tex]

Step-by-step explanation:

If m(x) = x2 + 3 and n(x) = 5x + 9,

(mn)(x) is (m times n)(x)= m(x) times n(x)

m(x)  * n(x)

Plug in m(x) and n(x). then multiply it

m(x)  * n(x)

(x^2 + 3)(5x+9)

Apply FOIL method to multiply it

x^2 * 5x = 5x^3

x^2 * 9 = 9x^2

3*5x= 15x

3*9 = 27

[tex]5x^3 +9x^2 +15x+27[/tex]

Answer:

Step-by-step explanation:The algebraic equation is 24/6*3 which will give you 12 pounds

Answer:

Equation

2x = 24

Step-by-step explanation:

3 pounds of peaches cost $6

so each pound = $6/3 = $2

so if you have $24 then $24/ 2 = 12 pounds

Let x = # of pounds of peaches

Equation

2x = 24

Answer:

It should be 12 because:

31.8 - 22.2 = 9.6

9.6 ÷ 0.8 = 12

Answer: 2 hours

Step-by-step explanation:

Answer: Quick market

Step-by-step explanation:

At quick market each apple is .43 each

At Stop and Save they are .50 each

Answer:

2(11-5)+9÷3 = 15

Step-by-step explanation:

the correct answer is: 15

To Solve:

11 - 5 = 6

6 x 2 = 12

9 / 3 = 3

12 + 3 = 15

The value of the expression is; 15

The given expression is; 2(11-5)+9÷3

By first solving the expression within the parenthesis, and then the division operator ; we have;

By taking care of the parenthesis; we have;

Read more on arithmetic expressions;

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Answer:

0.8 ounces each student

Step-by-step explanation:

You divide 4 by 5 and get your response.

Answer:

.8 ounces (could be written 4/5)

Step-by-step explanation:

5 students, 4 ounces. divide ounces by students, so 4/5

Answer:

7/8

Step-by-step explanation:

Step 1: Change the denominators so that they are the same for both fractions

7/8 x 15 = 105/120

13/15 x 8 = 104/120

Step 2: Compare

104/120 < 105/120 = 13/15 < 7/8

The fraction 7/8 is bigger than 13/15.

To determine which fraction is bigger between 7/8 and 13/15, we need to find a common denominator. The least common multiple of 8 and 15 is 120. Now, we can convert both fractions to have the same denominator:

7/8 = 105/120

13/15 = 104/120

Since 105/120 is larger than 104/120, the fraction 7/8 is bigger than 13/15.

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Answer:

The quotient is (x+7)

Step-by-step explanation:

Given the synthetic division problem

2|1    5    -14

we have to complete the synthetic division to find the quotient.

The steps are

Step 1: Set up the synthetic division

Step 2: Bring down the leading coefficient to the last row.

Step 3: Multiply the value which is written on the top left by the value just written on the bottom row.

Step 4: Add the column created in above step.

Step 5: continue until we reached last column.

The synthetic division is shown in attachment.

The quotient is (x+7)

Option D is correct

Answer:

21

Step-by-step explanation:

To find Jeff's age, we set up an algebraic equation based on the problem given. By isolating the variable and solving the equation, we determine that Jeff is 7 years old.

The problem presented is a basic algebraic equation that can be translated to: 5 + 2 * Jeff's age = 3 * Jeff's age - 2. To solve for Jeff's age, we follow these steps:

Jeff is 7 years old.

Answer:

he can fill 4 bag

i think he will have 4 or 6 left

Step-by-step explanation:

38/8= 4.75

.75/8=6

Answer:

4 bags and 6 apples

or

4.75 bags of apples

Step-by-step explanation:

First, take 38 divided by 8. You get 4.75. That means 4 bags have been filled up.

Next take 8 times 4. you get 32. then take 38-32 and you get 6.

That means there is 4 bags of apples and 6 left over. You could also say 4.75 bags are filled.

This was a different way of awnsering it so I hope this helps. This is how I do it.

Answer: 0.4 miles

Step-by-step explanation:

You can use the equation y=1/5x to help you figure it out where x is the days and y is the length. y=1/5(2). y=2/5 or 0.4 miles. Please vote my answer as brainliest

The road construction crew would pave 2/5 of a mile in 2 days, as they pave 1/5 mile every day.

The road construction crew paves 1/5 mile each day. If they were to work for 2 days, to find out how much they would pave, you would simply multiply the pace per day by the number of days. So, 1/5 mile * 2 days = 2/5 miles. Therefore, the crew would pave 2/5 of a mile in 2 days.

To find out how much the road construction crew would pave in 2 days, we need to multiply the amount they pave in 1 day by 2. So, if they pave 1/5 mile every day, they would pave 1/5 * 2 = 2/5 mile in 2 days.

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Answer:

Step-by-step explanation:

f(x) = 2(x + 6)

f(x) = 22

thereofre we have the equation:

2(x + 6) = 22      use distributive property

2x + 12 = 22     subtract 12 from both sides

2x = 10     divide both sides by 2

x = 5

Answer:

The length of each side is 2.5 m

Step-by-step explanation:

A cube has a volume of 15.625 m^3 of hay

We want to find the length of one side

V= s^3 where s is the length of one side

15.625 = s^3

Take the cube root of each side

15.625 ^ (1/3) = s^3 ^(1/3)

15.625 ^ (1/3) = s

2.5 = s

The length of each side is 2.5 m

Answer:

A) y=2x-3

Step-by-step explanation:

I looked at the first 2 points that were perfectly on the x and y axis, so (3,3) and (5,7). I then put the numbers into their correct spots. When they were plugged in, both of the answers came back correct, so that is the correct equation.

Answer:

A. y=2x-3

Step-by-step explanation:

Since we have it in slope intercept form y=mx+b.  B is our y intercet which we know is -3. Next we can find the slope which rise over run.  This gives up 2 and our answer.

Answer:A

Step-by-step explanation:

because standard form is ax+by=c

so multiply one half to both side and it cancancel