Directions: Write the expression for each sentence below.

1. the sum of 6 and t = 6 + t

2. the product of y and 11

3. the difference of 4 from 12

4. the quotient of 6 divided by t

5. 19 less than 25

6. increase s by 2s

7. decrease 11 by r

8. add 6 times x and 2 times s

9. the quotient of 17 minus 12 and 2

10. the product of 3 and x less 10

11. the product of 7 and 2 divided by 2

12. decrease the product of 7 and 6 by a number

Answer:

4:16 or 1:4

Step-by-step explanation:

1/5 of 20 = 4

there are 4 red marbles

there are 16 blue marbles

4:16 or 1:4

Answer:

1/5 to 4/5

Step-by-step explanation:

I took this quiz befrore and got a 100

Answer  

Step-by-step explanation:

In millions of people, since 1950

Answer:

yes

Step-by-step explanation:

because df is -2/3 and ac is -6/9 which is the same as -2/3

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

There are at least a couple of ways to come to the conclusion.

  1) use the given information to write the equation of the desired line

  2) check to see which of the answer choices satisfies the requirement

__

The given line has two specified points on it. These can be used to find its slope. (Or, you can count grid square to see it has a rise of -1 for a run of +2.)

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -0)/(4 -(-4)) = -4/8 = -1/2

Comparing this to our grid square count, we see they are the same:

  m = rise/run = -1/2

Now, we have a slope (-1/2) and a point (2, 3), so we can use these to write the point-slope equation of the desired line:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y -3 = -1/2(x -2) . . . . . point-slope equation of the desired line

  y -3 = -1/2x +1 . . . . . . eliminate parentheses

  1/2x +y = 4 . . . . . . . . add 1/2x +3 to both sides

  x +2y = 8 . . . . . . . . . multiply by 2

__

Perhaps easier in this case is to try the given equations to see which is satisfied at the given point. There are two different left-side expressions to evaluate at the point (x, y) = (2, 3):

  x +2y = (2 +2(3)) = 2+6 = 8

  2x +y = 2(2) +3 = 4 +3 = 7

Only the equation ...

  x +2y = 8

is satisfied at the given point.

_____

Additional comments

While I encourage you to learn to solve questions like this "from scratch", modern math curriculum is often "multiple choice."

When faced with multiple choices for answers, it is often easiest to ...

  (a) eliminate the ones that are not self-consistent or that are false on their face;

  (b) eliminate the ones that have an obviously fatal flaw (wrong sign of slope, too large or too small, for example);

  (c) choose from the remaining ones the one that properly answers the question (satisfies all requirements).

__

When you solve a standard-form equation for y, you get ...

  ax +by = c

  by = -ax +c

  y = -a/bx +c/b

That is, the slope of the line is -a/b.

For the two left-side expressions in the answer choices, the slopes are ...

  x +2y   ⇒   slope = -1/2

  2x +y   ⇒   slope = -2/1 = -2

The scales on the graph are the same in the x- and y-directions, so the shallow negative slope of the given line is clearly less than 1. That eliminates the last two answer choices already.

Answer:

6 miles

Step-by-step explanation:

2 inches : 1.5 miles

8 inches : 4(2 inches)

8 inches : 4(1.5 miles)

8 inches : 6 miles

6 miles away

-Chetan K

The actual distance between the two trails is 6 miles.

Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.

Let x represent the actual distance between the trails in miles. The proportion would be:

(2 inches / 1.5 miles) = (8 inches / x miles)

Now, solving for x:

2/1.5 = 8/x

Cross-multiplying:

2x = 1.5 × 8

2x = 12

Divide by 2:

x = 6

So, the actual distance between the two trails is 6 miles.

Learn more about proportion here:

https://brainly.com/question/1496357

#SPJ3

The value of y in the coordinates of point W is 3

The points are given as:

[tex]S = (-5,0)[/tex]

[tex]T = (5,2)[/tex]

[tex]V = (0,-2)[/tex]

[tex]W = (-1,y)[/tex]

Start by calculating the slope of line ST

[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m=\frac{2- 0}{5--5}[/tex]

[tex]m=\frac{2}{10}[/tex]

[tex]m=\frac{1}{5}[/tex]

Next, calculate the slope of line VW

[tex]m=\frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{y --2}{-1-0}[/tex]

[tex]m = \frac{y +2}{-1}[/tex]

[tex]m = -y -2[/tex]

Since both lines are perpendicular, then the product of the slopes is -1.

So, we have:

[tex]\frac 15 \times (-y -2) = -1[/tex]

Divide both sides by -5

[tex]y +2 = 5[/tex]

Subtract 2 from both sides

[tex]y = 3[/tex]

Hence, the value of y in the coordinates of point W is 3

Read more about line coordinates at:

https://brainly.com/question/2037439

Answer:

W=3

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 2x - 16}[/tex]

Step-by-step explanation:

twice a number x = 2x

minus means to subtract (-)

So, twice a number minus 16 is:

= 2x - 16

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Hey there!

Our unknown number is x.

First, "twice x" means we multiply x by 2:

2x

Then, we subtract 16:

2x-16

Therefore, the expression is: 2x-16

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with a smile on her face

Good luck with your studies. :-)

Answer:

11 weeks

Step-by-step explanation:

If we multiply 50 by 11 we get 550 with a remainder of 100, if we're to take out another 50 for another week we would have 50 dollars remanding but the question says that we need to have at least 75 remaining so this will not be possible. Therefor 11 weeks is our answer.

I hope this helps have a great day :)

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

6x - 6(5) = 54

6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

6x = 84

Divide both sides by 6

6x/6 = 84/6

x = 14

Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

Learn more on equations here; https://brainly.com/question/2972832

Answer: I'm not sure what Savvas is, but the answer to your second question is 23.68.

Step-by-step explanation: This can be solved using the stacking method of multiplication, like so:

6.4

x3.7

You would multiply this equation as if there are no decimals, (first doing 7x4, and then 7x6 + 2, then adding a zero to your ones place at the bottom, and doing 3x4, the 3x6 + 1), to get 2348. You then would add the decimals in by moving over 2 places to the left.

Answer:

image 1 : 3.78

image 2 : 10.20

Step-by-step explanation:

I haven't done geometry in a bit but I'll try to help!

Answer:

Hopefully this is what you are looking for.

Step-by-step explanation:

Hope this helps!

Answer:

No. two inputs cannot have the same output

Step-by-step explanation:

This is not a function because -2 and 2 have the same output which is 4

HOPE THIS HELPS :)

Answer:

During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3

During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2

Then using both equations will be:

y = 5x + 3

y = 5.5x + 2

Subtract the equations

0.5x = 1

x = 1/0.5 = 2

Therefore, the value of y will be:

y = 5x + 3 = 5(2) + 3 = 13

Answer:

1.9444444 is the answer or 35/18

Step-by-step explanation:

Answer:

10/3 or 3 (1/3)

Step-by-step explanation:

I used a calculator sorry i don't know how to explain it

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

Explanation:

The two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.

We multiply the number of hours by the wage per hour to get the amount earned per job.

Lastly, we add those two subtotals to get the grand total earned

7t + 12(86-t)

Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.

If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032

Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

Answer:

16.4 TRUST ME

Step-by-step explanation:

Mark as brainliest

Answer:

Step-by-step explanation: 2x+4+=

To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.

It is asking us to simplify it using exponents.

Exponents are these little numbers beside a big number Telling it how much you multiply it by.

EXAMPLES

2^3 is just 2x2x2

2^4 is just 2x2x2x2

Notice the pattern? I hope so!

Now 2 to the power of 4 is 16. Our new equation looks like this

{16/2^3}^5.

Now 2 to the power of 3 is 8.

So, our new equation is

{16/8}^5

In which you get 2^5 which is just 2x2x2x2x2

And you get 32 as the final answer

I hope this helped and if you have questions just tell me!!

Step-by-step explanation:

what is this........???

        4x - y = -19

       4(4x - y) = 4(-19)

            16x - 4y = -76

Now, let's substitute the 'x' value in the equation.

Therefore, the answers are:

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

(-7, -9).

( x = -7 and y = -9)

Step-by-step explanation:

-3x + 4y = -15  

  4x - y   = -19

Multiply second equation by 4:

16x - 4y = -76

Add this equation to the first to eliminate y:

13x = -15 + -76

13x = -91

x = -7.

Substitute this into equation 2:

4(-7) - y = -19

-y = -19 + 28

-y = 9

y = -9.

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

Answer:

m = [tex]\frac{-421}{6}[/tex]

Step-by-step explanation:

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

x

Step 1: Simplify both sides of the equation.

3m+3m=−7−12−18−(16)x(24)

3m+3m=−7+−12+−18+(−384)

(3m+3m)=(−7+−12+−18+(−384))(Combine Like Terms)

6m=−421

6m=−421

Step 2: Divide both sides by 6.

[tex]\frac{6m}{6} =\frac{-421}{6}[/tex]

m = [tex]\frac{-421}{6}[/tex]

Answer:

45/30

Step-by-step explanation:

Step-by-step explanation:

0.1212 < 0.132< 0.140 < 0.1412 <0.148 <0.150 < 0.152