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4 years ago

10

grace rides her bike with a constant speed of 18 km/h how long will she take to travel a distance 72 kilometers

1 answer:

atroni [7]4 years ago

7 0

If she rides her bike 18 km per hour
then it will take 4 hours to travel 72 km (72÷18)
the answer is 4

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xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

What is f(x)=2x^2+5 multiply by g(x)=2x

Kryger [21]

Answer:

4x^3 +10x

Step-by-step explanation:

for f(x) × g(x) you should multiply their functions :

(2x^2+5)×(2x) = 4x^3 +10x

6 0

3 years ago

Need help with math pls help me will mark brainiest.

saw5 [17]

Answer:

The slope is $\frac{-1}{3}$ .

Step-by-step explanation:

Math Vocabulary Values

Vertical Change -1

Horizontal Change 3

Slope $\frac{-1}{3}$

8 0

3 years ago

4x^2-5x-15=0 how to find the vertex and y intercept

mezya [45]

$ax^2+bx+c=0\\\\the\ vertex:\left(\frac{-b}{2a};\frac{-(b^2-4ac)}{4a}\right)\\\\y-intrcept=c\\=======================================\\\\4x^2-5x-15=0\\\\a=4;\ b=-5;\ c=-15\\\\\frac{-b}{2a}=\frac{-(-5)}{2\cdot4}=\frac{5}{8};\ \frac{-(b^2-4ac)}{4a}=\frac{-[(-5)^2-4\cdot4\cdot(-15)]}{4\cdot4}=-\frac{265}{16}\\\\\boxed{the\ vertex:\left(\frac{5}{8};-\frac{265}{16}\right)}\\\\\boxed{y-intercept:-15}$

5 0

3 years ago

Choose the correct answer.

guapka [62]

The correct answer is c but i am not sure

5 0

3 years ago