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zzz [600]
2 years ago
7

Gracie drove to her parents’ house which is 203 miles away. It took her 3.5 hours. What was her unit rate of speed

Mathematics
1 answer:
andre [41]2 years ago
3 0

Answer:

58 miles per hour

Step-by-step explanation:

Simplify by dividing 203 by 3.5 to get the simplified unit rate

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Solve then check solution
klio [65]

Answer:

1. z = 128

2. x = 4.2

3. c = 10

4. w = 100

5. a = 95.2

Step-by-step explanation:

1. Solve for z:

z/16 = 8

Multiply both sides of z/16 = 8 by 16:

(16 z)/16 = 16×8

(16 z)/16 = 16/16×z = z:

z = 16×8

16×8 = 128:

Answer:  z = 128

_____________________________________________________

2. Solve for x:

3.5 x = 14.7

Divide both sides of 3.5 x = 14.7 by 3.5:

(3.5 x)/3.5 = 14.7/3.5

3.5/3.5 = 1:

x = 14.7/3.5

14.7/3.5 = 4.2:

Answer:  x = 4.2

____________________________________________

3. Solve for c:

32 = 3.2 c

32 = 3.2 c is equivalent to 3.2 c = 32:

3.2 c = 32

Divide both sides of 3.2 c = 32 by 3.2:

(3.2 c)/3.2 = 32/3.2

3.2/3.2 = 1:

c = 32/3.2

32/3.2 = 10:

Answer:  c = 10

__________________________________________________

4. Solve for w:

(2 w)/5 = 40

Multiply both sides of (2 w)/5 = 40 by 5/2:

(5×2 w)/(2×5) = 5/2×40

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) w = 5/2×40

5/2×40 = (5×40)/2:

(5×2 w)/(2×5) = (5×40)/2

(5×2 w)/(2×5) = (2×5)/(2×5)×w = w:

w = (5×40)/2

2 | 2 | 0

| 4 | 0

- | 4 |  

| | 0

| - | 0

| | 0:

w = 5×20

5×20 = 100:

Answer: w = 100

___________________________________________________

5. Solve for a:

a/14 = 6.8

Multiply both sides of a/14 = 6.8 by 14:

(14 a)/14 = 14×6.8

(14 a)/14 = 14/14×a = a:

a = 14×6.8

14×6.8 = 95.2:

Answer:  a = 95.2

6 0
3 years ago
Let f be a function. Use each statement to find the coordinates of a point on the graph of f. f (5) = 9
omeli [17]

Answer:

400

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Only answer this if you have an explanation and if you know what the answer is.
Rzqust [24]

Answer:

B. 3

Step-by-step explanation:

You can use online calculators for this like symbolab.com for steps! Here is your specific question answered with steps: https://www.symbolab.com/solver/step-by-step/%206%20%E2%88%92%203%5E%7B3%7D%20%5Cdiv%5Cleft(2%5E%7B2%7D%20%2B%205%5Cright)%20

3 0
3 years ago
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Write an equation of the line that passes through (−5, −2)(−5, −2) and is parallel to y=23x+1y=23x+1.
Klio2033 [76]
Assuming you meant 2/3
y=2/3x+1 and (-5,-2)

paralell means same slope
y=mx+b
m=slope

y=2/3x+1
sllope=2/3

point slope
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)

slope=2/3
point=(-5,-2)

y-(-2)=2/3(x-(-5))
y+2=2/3(x+5)
or
y=2/3x+16/3

7 0
3 years ago
If f(x) = -x + 8 and g(x) = x^4, what is (gºf)(2)?
kotykmax [81]

Answer:

\large\boxed{(g\circ f)(2)=1296}

Step-by-step explanation:

(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(x)=-x+8,\ g(x)=x^4\\\\(g\circ f)(x)=\g\bigg(f(x)\bigg)=(-x+8)^4\\\\(g\circ f)(2)\to\text{put x = 2 to the equation}\ (g\circ f)(x):\\\\(g\circ f)(2)=(-2+8)^4=(6)^4=1296

7 0
3 years ago
Read 2 more answers
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