Kathryn ran 14 miles more than Heather last week. Kathryn ran 21.1 miles. How many miles did Heather run?

Answer:

x = 31

m<ABC = 113

Step-by-step explanation:

The angles are supplementary.

x + 82 + x + 36 = 180

2x + 118 = 180

2x = 62

x = 31

m<ABC = x + 82 = 31 + 82 = 113

Answer:

x = 31

m<ABC = 113

Answer:

Negative Correlation

Strong Correlation

Linear

Step-by-step explanation:

The points slope downward, and downward slopes = negative

This is a strong correlation because the points are in a distinct line, not scattered.

This is Linear because it is a straight line.

-Good luck on the exam!

Answer:

1 : 4

Step-by-step explanation:

If you simplify the amount of boys over girls, you get 1/4.

Answer:

8π cm^2

Step-by-step explanation:

Here's your solution

=> Area of biggest circle = πr^2

=> Area = 16π cm^2

=> Area of small circle = 4π cm^2

=> there are two circles hence both area =

8π cm^2

=> now, Area of shaded region = 16π cm^2 - 8π cm^

=> Area = 8π cm^2

hope it helps

Answer:

1/6 = 0.167 or 16%

Step-by-step explanation:

Okay, so to go from a fraction to a decimal, you really just have to put the dot in the right place:

1/6 = 0.167 (rounded)

So 1/6 is 0.167 as a decimal

So to find the percentage:

0.167 x 10 = 16.7

So 1/6 is 16.7%

hope this helps:)

Answer:

Decimal: 0.166666667

Percent: 16.6666667%

Step-by-step explanation:

First a decimal:

Divide 1 ÷ 6: 0.166666667

Now a percent, to convert decimals to percents multiply them by 100 and add the percent sign:

0.166666667 ⋅ 100 = 16.6666667%

Answer:

y = -9x - 24

x = -27x - 84

Step-by-step explanation:

Answer:

[tex]\frac{16}{12} =1\frac{1}{3}[/tex]

[tex]1\frac{5}{8}= \frac{13}{8}[/tex]

Answer:

the value is 0.707

Step-by-step explanation:

The computation is shown below:

Tan (x) = sen (x) ÷ cos (x)

Tan 45° = sen 45° ÷ cos 45° = 1

Now

Sen^2 (x) + cos^2 (x) = 1

Sen^2 (x) + sin^2 (x) = 1 (As sen (x) = u)

2u^2 = 1

u = √1 ÷ √2

= √2 ÷ 2

= 0.707

Hence, the value is 0.707

Answer:

453.33

Step-by-step explanation:

Ratios:

[tex]\frac{15}{100} =\frac{68}{x} \\\\15x=6800\\x=453.33[/tex]

Double check:

453.33(0.15) = 68

Answer:

the equation (400-50) divided by 4

= $87.50 per person

Step-by-step explanation:

hope it helps

Answer:

B

Step-by-step explanation:

Answer:

Process of elimination

Step-by-step explanation:

If Olive wants to choose a friend while not playing favorites, while also not being random, she has to eliminate the ones she knows she will NOT take on the trip. She can choose this by selecting the one she knows that will be best on the trip with her, depending on the situation.

Or, if Olive only has one friend, then it wouldn't be surprising that she would take that one friend on the trip, since she has no one else to choose. This way, it is not playing favorites, nor is it random. Hope this helps you!

Answer:

j8jjjhvvbbbvvbbbbvvvbbbbbb

Answer:

12meters

Step-by-step explanation:

Given data

Lenght = 36 meters

Width = 15 meters

The dimension of the diagonal can be gotten via Pythagoras theorem

D^2= L^2+W^2

Substitute

D^2= 36^2+ 15^2

D^2=  1296+225

D^2= 1521

D= √1521

D= 39  meters

Hence the distance while walking on the side is

=36+15

=51 meters

Hence the difference is

=51-39

=12meters

Answer:

If one rolls a dice 120 times, he/she expect to get a 2, 20 time

Step-by-step explanation:

The probability of getting a 2 when the dice is rolled 1 time is [tex]\frac{1}{6}[/tex]

Given - The dice is rolled for 120 times

Probability of getting a 2  is

[tex]\frac{1}{6} *120\\= 20[/tex]

Thus, if one rolls a dice 120 times, he/she expect to get a 2, 20 time

sfdfgjhndghjStep-by-step explanation:

Answer:

The answer is J.

Step-by-step explanation:

To find the slope of the line, pick two dots on that are EXACTLY on the grid.

I picked (0,3) and (2,2)

First, count how many units down the two points are from each other

I counted one.

Then, count how many units they are away from the side.

I got 2.

Slopes are rise over run or y over c so the slope is 1/2

The line is negative, too as it is going down so the slope is negative.

Therefore, the slope is -1/2 and only one option have a slope of -1/2 and it’s J

Also, to know which number is the slope look for the number before the x. In slope intercept form, that is the slope.

Answer:

83

Step-by-step explanation:

get rid of decimals and become 2988/36

divide and get 83

Answer:

4 inches

Step-by-step explanation:

8 times 4 is 32

Step-by-step explanation:

25 min. to get to the library

1-hour story = 60 min.

25 min. to go back home

25 + 25 + 60 = 110 min.

110. min = 1.83333 hrs.

9:15 am + 1.83333 = 10.98333 am

98 - 60 = 38

60 = 1 hr. -----> 60 + 60 = 120 minutes -----> 2 hrs.

11: 38 am

Brainlist Pls!

Answer:

[tex] \boxed{y = 10} [/tex]

Step-by-step explanation:

-12 = 6y + 18 – 9y

[Group like terms 6y and -9y]

-12 = (6y – 9y) + 18

[Simplify the expression]

-12 = -3y + 18

[Subtract 18 from both sides, subtraction property of equality, to isolate the variable and the value]

-12 = -3y + 18

–18 –18

-30 = -3y

[Divide by -3 from both sides, division property of equality, to get the variable y by itself]

-30 = -3y

÷(-3) ÷(-3)

10 = y

[Symmetric property of equality, if b = a, then a = b]

y = 10

Answer:

Step-by-step explanation:

I can guess what the instructions are, but it'd be helpful if you were to share them.

3x^2 - 5x - 1 = 0 is a quadratic with coefficients {3, -5, -1}.  Find the discriminant b^2 - 4ac:  25 - 4(3)(-1) = 13.

Because the discriminant is positive, we know we have two unequal real roots here.  Continuing with the quadratic formula, we obtain:

      -(-5) ±√13          5 ± √13

x = ----------------- = ----------------

            2(3)                   6

Answer:

4x=2

Step-by-step explanation:

3x^2-5x-2=0

 9x-5x-2=0

  4x  +2   +2

       4x=2

Answer:

Are we human, or are we dancer

Step-by-step explanation: this is an answer your teacher would love trust me ;)

Answer:

4056

Step-by-step explanation:

39 necklaces

104 beads/necklace

number of beads = number of necklaces * number of beads per necklace

number of beads = 39 * 104 = 4056

Answer:

[tex] \frac{10 - 7}{1 - 4} = \frac{3}{ - 3} = - 1[/tex]

Answer:

4 pounds

Step by Step Explaintion

The required Mary can buy 4 pounds of mixed nuts with her remaining budget.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
If Mary has a total of $12 to spend and she spends $2.50 on dried fruit, then she has $12 - $2.50 = $9.50 left to spend on mixed nuts.

If mixed nuts cost $2.50 per pound, then Mary can buy $9.50 / $2.50 per pound = 3.8 pounds of mixed nuts.

However, since Mary cannot buy a fraction of a pound, the actual amount of mixed nuts she can buy will be limited to the nearest whole number.

Therefore, Mary can buy 4 pounds of mixed nuts with her remaining budget.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

true

Step-by-step explanation:

Answer:

1. 8x+10

2. 25x-7

Step-by-step explanation:

Answer:

1) 8x + 10

2) 25x - 7