Grace's work is x miles from her house. She drives to work every day of a 5-day workweek. Grace also goes to the gym every day after work, which increases her daily drive by 8 miles. The following expression shows the number of miles Grace puts on her car during the workweek. Which of the following descriptions are equivalent ways to write this problem? Grace's work is x miles from her house. To get to work and back, she drives x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 7 times. She also goes to the gym to work out which increases her driving by 13 miles per workweek. Grace's work is x miles from her house. To get to work and back, she drives 2x miles. She does this 5 times during the workweek. She also goes to the gym to work out which increases her daily driving by 8 miles. She does this 5 times. Grace's work is x miles from her house. During the workweek, she drives the x miles between her house and work 10 times. She also works out which increases her driving by 40 miles per workweek.

Answer:

They are similar using the angle-angle property.

Step-by-step explanation:

Since you know that 2 of the angles are congruent, you can use this to prove triangle similarity.

By AA similarity, triangle PQR similar to triangle STU.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

The two given triangles PQR and STU.

Here, ∠P=63° and ∠R=45°

In triangle STU, ∠S=63° and ∠U=45°

Now, ∠P=∠S=63° and ∠R=∠U=45°

Since angles of triangle are congruent

By AA similarity, ΔPQR similar to ΔSTU

Therefore, triangles are similar.

To learn more about the similar triangles visit:

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Answer:

<AC=11

Step-by-step explanation:

<AB=70 and <BC=99 what is <AC=?

180-70=110

110-99=11

11-11=0

Answer: 15.6

Step-by-step explanation: 2.6 x 6 = 15.6

Answer:

$15.60

Step-by-step explanation:

If buying a pound of something is $6 then 2 pounds is $12.

0.6 pounds would be $3.60

1 = $6

0.9 = $5.40

0.8 = $4.80

0.7 = $4.20

0.6 = $3.60

0.5 = $3.00

0.4 = $2.40

0.3 = $1.80

0.2 = $1.20

0.1 = $0.60

0 = $0.00

subtract by .60 or 60 cents

9514 1404 393

Answer:

  3. 1.8

  4. 66

Step-by-step explanation:

The common difference is the difference between a term and the one before it.

  5 -3.2 = 1.8

The common difference is 1.8.

__

The 8th term is found by putting 8 where n is and doing the arithmetic.

  a₈ = 10·8 -14

  a₈ = 80 -14 = 66

The eighth term is 66.

_____

Additional comments

The difference is only "common" if all pairs of adjacent terms have the same difference. When that is the case, any pair of adjacent terms can be used to find the common difference. The arithmetic is probably easier using ...

  6.8 -5 = 1.8

__

In question 4, the sequence has a first term of -4 and a common difference of 10. The sequence is ...

  -4, 6, 16, 26, 36, 46, 56, 66 . . . . the 8th term is 66.

Answer:

  see attached graph

Step-by-step explanation:

There are a couple of ways you can look at this.

Point-Slope Form

The point-slope form of the equation for a line is ...

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

Comparing this to the given equation, we see that ...

  k = -14, m = -7, h = 0

That is, the equation describes a line with slope -7 through point (0, -14).

The slope is the ratio of rise to run. Usually, "run" is considered to be positive in the +x direction (to the right). Here, you run out of room on most graphs if you look for a point that is 7 units down and 1 unit right of the y-intercept at (0, -14). (That point is (1, -21).) So, it is more convenient to start at the y-intercept (0, -14) and go 1 unit left and 7 units up to find another point on the line. That point is (-1, -7). With two points plotted, you can draw the graph.

__

Slope-Intercept form

We discovered above that the y-intercept is -14. You can get there also by putting the equation in slope-intercept form:

  y = mx +b . . . . . . line with slope m and y-intercept (0, b)

Adding -14 to both sides of the given equation gives you this form.

  y = -7x -14

The method of plotting is substantially identical to that described above.

__

Standard form

The standard form of the equation is ...

  ax +by = c

where a > 0, and a, b, c are mutually prime integers.

Adding 7x-14 to both sides of the equation puts it into standard form:

  7x +y = -14

The x- and y-intercepts are found by setting the other variable to zero and solving for the one that is left. Here, that means the x-intercept is ...

  c/a = -14/7 = -2

and the y-intercept is ...

  c/b = -14/1 = -14

These x- and y-intercepts are easily plotted on the x- and y-axes. The graph will be the line drawn through them. The attached graph shows the line and the intercepts.

Answer:

It can be written as 0.25 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:

It is already in the simplest form, but you can convert It into many things.

Step-by-step explanation:

Make this into an improper fraction you: 1 x 4 + 1 then put the answer on the numerator and keep the denominator.

Mixed number = 5/4

Decimal = 1.25

because 1/4 = 0.25

and 1 is a whole number.

Answer:

Step-by-step explanation:

b is greater than or equal to 4:   4 ≤  b

and at most 13  : b ≤ 13

4 ≤ b ≤ 13

Answers:

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

Explanation:

Use the distance formula to compute the length of each segment. For instance, the distance from point F to point G is the length of segment FG.

I'll show the steps on finding the length of FG

[tex]F = (x_1,y_1) = (-5,10)\\\\G = (x_2,y_2) = (-2,2)[/tex]

[tex]d = \text{distance from F to G}\\\\d = \text{length of segment FG}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-5-(-2))^2+(10-2)^2}\\\\d = \sqrt{(-5+2)^2+(10-2)^2}\\\\d = \sqrt{(-3)^2+(8)^2}\\\\d = \sqrt{9+64}\\\\d = \sqrt{73}\\\\d \approx 8.544\\\\d \approx 8.5\\\\[/tex]

The length of segment FG is approximately 8.5 units. The other side lengths are handled in the same way. As an alternative, you can use the pythagorean theorem.

---------------------

Once you determine all six lengths, note we have the following three pairs of corresponding congruent sides:

Because we have three pairs of equal sides, this means we can use the SSS (side side side) congruence theorem to prove the triangles are congruent. In other words, we have two identical triangles. One triangle is a rotated and reflected copy of the other.

The diagram is below.

Answer:

5

Step-by-step explanation:

When taking a percent of a number, multiply the number by the percent divided by a hundred:

[tex]25 * \frac{20}{100}[/tex]

You get an answer of

5

Answer:

5 students are in a club.

Step-by-step explanation:

To do 20% of 25, you must first move the % until all numbers are on the right side of the decimal.

Observe: 20% ---> 0.20 aka 0.2

Now, you must take 0.2 and multiply it by 25 to get 20% of 25.

0.2 x 25 = 5

There's your answer, 5 students in a club :)

Answer:

To get the answer use the dinamic format of barnic, its super easy to use please look it up and use the steps provided

Step-by-step explanation:

It willl help you so much.

Answer:

1 4/11

Step-by-step explanation:

Answer:

1 4/11 or 15/11

Step-by-step explanation:

basically to do that, you have to put both numbers into an improper fraction then subtract.

----- is  the fraction bar.

44          29           15                                                4

----    -    -----   =    -------            mixed number :  1  ----

11            11             11                                                11

hope this helped!

mark me brainliest :D

690

Step-by-step explanation:

The sequence of the terms is -7,-1+5, and +11. A series is a collection of sequences.

A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other.

Given equation ;

[tex]\rm a_n = a_{n-1}+6[/tex]

If,

[tex]\rm a_1 = -13[/tex]

The next term in the sequence is;

[tex]\rm a_2 = a_{2-1}+6 \\\\ \rm a_2 = a_{1}+6 \\\\ a_2 = -13 +6 \\\\ a_2 =-7[/tex]

[tex]\rm a_3 = a_{3-1}+6 \\\\ \rm a_3 = a_{3}+6 \\\\ a_3 = -7 +6 \\\\ a_3 =-1[/tex]

[tex]\rm a_4 = a_{4-1}+6 \\\\ \rm a_4 = a_{3}+6 \\\\ a_4 = -1 +6 \\\\ a_4 =+5[/tex]

[tex]\rm a_5 = a_{5-1}+6 \\\\ \rm a_5 = a_{4}+6 \\\\ a_5 = 5 +6 \\\\ a_5 =11[/tex]

Hence, the sequence of the terms is -7,-1+5, and +11.

To learn more about the sequence, refer to https://brainly.com/question/9737262.

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Answer:

6(x - 3)

Step-by-step explanation:

18(x−3)−6(x−3)2 =>

18x - 54 - 12 (x - 3 ) =>

18x - 54 - 12x + 36 =>

18x - 12x - 54 + 36 =>

6x - 18 or 6(x - 3)

both answers are good, althoguth this second one 6 (x - 3) should be the one that you are looking for

Answer:

D. -3x + 18

Step-by-step explanation:

3x - 9y = 18

y = 1/3 x - 2  ... x intercept   0 = 1/3x -2        x=6

perpendicular line slope: - 1/(1/3) = -3 and (6,0) 0n the line

equation: (y-0)/(x-6) = -3

y = -3x +18

Answer:

Step-by-step explanation:

Answer:

Right

Step-by-step explanation:

13

Step-by-step explanation:

Answer:

1) 0.25

2) -2.342

Step-by-step explanation:

Answer:

-3x\4

Step-by-step explanation:

multiply the number 3x(-1/4)= -3/4x

the combine -3/4x to -3x/4

Answer:

10%

Step-by-step explanation:

4.5-4.05=.45

.45/4.5=.1

0.1= 10%

Answer:

24

Step-by-step explanation:

Answer:Thus 30% of 80 is (30/100) x 80 = 24.

I'm sorry, I swear there's a reason, I can't help you, I even did it.you want, and a tip, never put too high points, you can lose out

Answer:

B

Step-by-step explanation:

it's not the other options, and it only contains one variable with constant change

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

33oz = 100%

1% = 100%/100 = 33/100 = 0.33oz

59 - 33 = 26oz increase

how many % are these 26oz compared to the original 33oz ?

we need to see how often 1% fits into 26oz.

26/0.33 = 78.78787878...%

rounded this means a 79% increase of drinking water.