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aalyn [17]
3 years ago
10

john is running in a race. the race is 25 miles long. after two hours, john has run 7 miles. how many miles, m does john have le

ft to run?
Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0
25-7=18
John has 18 miles to run left
And 300 mins to finish the race, 60×5=300
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What is t in t/3 = 4/9?
SCORPION-xisa [38]

Answer:

t =  \frac{4}{3}

Step-by-step explanation:

1) Multiply both sides by 3.

t =  \frac{4}{9}  \times 3

2) Use this rule: a/b × c = ac/b.

t =  \frac{4  \times 3}{9}

3) Simplify 4 × 3 to 12.

t =  \frac{12}{9}

4) Simplify 12/9 to 4/3.

t =  \frac{4}{3}

Therefor, the answer is, t = 4/3.

and in decimal form it would be, 1.333333.

7 0
3 years ago
What is the equation of the graph below?
oee [108]

Answer:

B) y=-(x-3)^{2}+2

Step-by-step explanation:

We are given,

The graph of the parabola opens downwards.

This means that the leading co-efficient of the function will be negative.

So, options C and D are not possible.

Moreover, it is given that the graph cuts x-axis near 1\frac{1}{2} i.e. \frac{3}{2} = 1.5 and 4\frac{1}{2} i.e. \frac{9}{2} = 4.5.

i.e. At y=0, the value of x is near \frac{3}{2} and \frac{9}{2}.

A. So, in y=-(x+2)^{2}+2, we put y =0.

i.e. (x+2)^{2}=2

i.e. x=-2\pm \sqrt{2}

i.e. x = 0.68 and x = 3.41

We see that this does not crosses the x-axis at the given points.

So, option A is wrong.

B. Also, in y=-(x-3)^{2}+2, we put y =0.

i.e. (x-3)^{2}=2

i.e. x=3\pm \sqrt{2}

i.e. x = 1.68 and x = 4.41.

Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.

Hence, the equation of the given graph is y=-(x-3)^{2}+2.

8 0
3 years ago
40% of the students in the sixth grade at a student's school participate in sports, how many sixth graders are there at the stud
Margarita [4]
Well what I like to do is take 52 and multiply it by 1. whatever the percentage is. I say 1. whatever the percentage is because in your case 40 %. 1 equals the whole amount the percentage after it counteracts the percentage so 52*1.4=72.8

Answer= 72.8 or 73 people
8 0
3 years ago
a ball is dropped from the height of 64 feet. its height can be modeled by the function h(t)=-16t^2+64, where t is the time in s
puteri [66]

Answer:

It takes 1.323 seconds for the ball to fall by 36 feet

Step-by-step explanation:

The height of the ball dropped from a height of 64 ft is modeled by the equation:

h(t) = -16t² + 64 where t is the time in seconds.

To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.

Substituting h(t) to be 36 ft:

36 = -16t² + 64

multiply through by -1

-36 = 16t² - 64

add 36 to both sides

16t² -64 + 36 = -36 + 36

16t² - 28 = 0

add 28 to both sides

16t² - 28 + 28 = 0 +28

16t² = 28

Divide both sides by 28

16t²/16 = 28/16

t² = 1.75

Find squre root of both sides

√t² = √1.75

t = 1.323 seconds

It takes 1.323 seconds for the ball to fall by 36 feet

5 0
3 years ago
Estimate 3,458,092 × 57
Naddika [18.5K]
Estimate 3458092=3500000~; 57=60~.
3500000*60=210000000.
The answer is 210000000
5 0
3 years ago
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