Carly loves to run while Riley prefers walking. Carly can run 3 miles per hour faster
than her sister Riley can walk the same distance. If Carly ran 15 miles in the same time
it took Riley to walk 9 miles, which equation can be used to find the speed of each
sister?

Answer:

Step-by-step explanation:

2(4x - 3) = 9 + 2x + 6               Combine the like terms on the right

2(4x - 3)  = 2x + 15                   The distributive property gets rid of the brackets

8x - 6 = 2x + 14                        Add 6 to both sides

     6              6

8x = 2x + 20                            Subtract 2x from both sides

-2x   -2x        

6x = 20

Step 2 is the error. It is a very common error. You multiply 2 and - 3 together. as well as 2 and 4 together. If you are going to forget something that will be it.

Answer:

x = y = 2√2

Step-by-step explanation:

Find the diagram attached

To get the unknown side x and y, we need to use the SOH CAH TOA identity

Opposite side = x

Adjacent = y

Hypotenuse = 4

Sin theta = opposite/hypotenuse

sin 45 = x/4

x = 4 sin 45

x = 4 * 1/√2

x = 4 * 1/√2 * √2/√2

x = 4 * √2/√4

x = 4 * √2/2

x = 2√2

Similarly;

cos theta = adjacent/hypotenuse

cos 45 = y/4

y = 4cos45

y = 4 * 1/√2

y = 4 * 1/√2 * √2/√2

y = 4 * √2/√4

y = 4 * √2/2

y = 2√2

Answer:

Use the degree and the leading coefficient to determine the behavior.

Falls to the left and falls to the right

Step-by-step explanation:

Answer:

21 and 6

Step-by-step explanation:

a will be the larger, b the smaller:

a - b = 15

2b + 3a = 75

First, we'll solve the first equation for a in terms of b:

a = b + 15

Then substitute that in for a in the second equation to get a numerical value for b:

2b + 3(b + 15) = 75

2b + 3b + 45 = 75

5b = 30

b = 6

Next, we'll get a numerical value for a:

a - b = 15

a - 6 = 15

a = 21

Check the math:

2(6) + 3(21) = 12 + 63 = 75

Please lmk if you have questions.

Answer:

arc length d = ∫ √(1 + (dy/dx)²) dx

y = 228 - x²/57

dy/dx = -2x / 57

(dy/dx)² = (2x/57)²

Upper limit for integration:

y = 0 = 228 - x²/57

yields x = 114

d = ∫ √(1 + (2x/57)²) dx for 0 ≤ x ≤ 114 = 264.9 m

Step-by-step explanation:

Answer: C

Step-by-step explanation: calculate the decimal and put it into the calculator to get the fraction

Step-by-step explanation:

[tex] {10}^{ - 3} \\ = \frac{1}{10 \times 10 \times 10} \\ = \frac{1}{1000} \: or \: 0.001[/tex]

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Only the mean increased.

Step-by-step explanation:

The mean is the total divided by the number of scores, and since adding 21 will increase the total score significantly, the mean increases.

The median is still 7.

13. k=3/4       14. a=23

15. p= 5 1/2    16. x=13

17. m=56         18. n=1 1/2

Answer:

13)

14)

15)

16)

17)

18)

Answer:

[tex] - 49 \times (49 \times 5982 + 3) {}^{2} \\ = - 49 \times 85919920641 \\ = - 4,210,076,111,409[/tex]

I had this one before. I'm pretty sure it is 1.61

Answer:

1.61

Step-by-step explanation:

It just makes since.

Answer:

1:3 red to blue

Step-by-step explanation:

you have x shirts. Let's call the number of red shirts r and the number of blue shirts b.

r = x * 1/4

b = x - r = x - (x * 1/4) = x * 3/4

r:b = (x * 1/4):(x * 3/4) = (1/4):(3/4) = 1:3

Answer:

7x - 4

Step-by-step explanation:

2x + 4 + 5x - 8

7x + 4 - 8

7x - 4

Answer:

ok

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

8 - 2 / 2 - 1

6 / 1

6

Answer:

2/35

Step-by-step explanation:

[tex]\frac{3}{7}[/tex] × [tex]\frac{2}{15}[/tex]

[tex]\frac{1}{7}[/tex] x [tex]\frac{2}{5}[/tex]

= 2/35

Answer:

c

Step-by-step explanation:

circumference = perimeter around circle

Answer:17

Step-by-step Experlation: The volume is 108 cm. 3,2,15.a square prism with a base edge of 9.5 inches and a height of 17 ... amount for a landowner

Answer:

True

Step-by-step explanation:

Brainliest?

Answer:

I Believe the answer is True

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula for a circle is pi(r^2) where r is the radius. the diameter is 16 so 16/2 =8. substitute 8 for the radius to get pi(8^2). 8^2=64 so you have pi(64).

pi(64)= approximately 201.06

Step-by-step explanation:

a a reflex angle is more than 180° but less than 360° so in this case the reference angle of 95 degrees we are going to take 360° - 95 degrees to get255°

it is True ..............................................

Answer:

True

Step-by-step explanation:

2-72+3+4x=ax+b

73 + 4x = ax + b

Since there are 3 variables in this equation you need 3 equations. Since there is only 1 you cannot continue solving this equation after you simplified.

Hope this helps!

Answer:

There are 10 odd numbers: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} There are 4 factors of 8: {1, 2, 4, 8} There is 1 number in both lists: {1} Probability of an odd or a factor of 8 = (10 + 4 - 1)/20 = 13/20

Answer:

3/5

Step-by-step explanation:

Use Pythagorean  to figure out that the  is 100. Then do 60/100 and simplify

theoremhypotenuse

Answer: .67

Step-by-step explanation:

got it right on acellus

Answer:

between 32 and 37

Step-by-step explanation:

that's my answer

Answer:

Steps:

tan(50.1°) = x/5

1.19.. = x/5

x = 5 × 1.19 ..

x = 5.97.. ≈ 5.98