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inessss [21]
2 years ago
7

A Family travels at a constant rate and drove 420 miles in 7 hours.If they drive at the same speed ,How many miles will they dri

ve in the next four hours.?
Mathematics
1 answer:
Mazyrski [523]2 years ago
5 0

Answer:

240 miles

Step-by-step explanation:

Step 1

We find the constant rate at which the family travels

Speed(Rate) = Distance/Time

A Family travels at a constant rate and drove 420 miles in 7 hours.

Speed(Rate) = 420 miles/7 hours

= 60 miles per hour

Step 2

If they drive at the same speed ,How many miles will they drive in the next four hours.?

We are to finally calculate the distance for the next 4 hours

Distance = Speed × Time

Speed = 60 miles per hour

Time = 4 hours

Distance = 60 miles per hour × 4 hours

Distance = 240 miles

Therefore, for the next 4 hours the number of miles they would drive is 240 miles

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Two tents are needed for every
Gemiola [76]

Answer:

24

Step-by-step explanation:

2:6

1:3

24:72

8 0
1 year ago
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What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

y=x-0.04x^2

Differentiate with respect to x.

y'=1-0.04(2x)

y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

-0.08x=-1

x=\dfrac{-1}{-0.08}

x=12.5

Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

y=6.25

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0
2 years ago
Find the value of x and y in parallelogram WXYZ.
navik [9.2K]

Answer:

x = 13, y = 7

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

x - 7 = 6 ( add 7 to both sides )

x = 13

and

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

3 0
2 years ago
I need help on number 9
lisov135 [29]

Complement angles, sum is equal 90

Give one angle = 70 to find other: 90 - 70 = 20

Answer

Complement of angle with the measure of 70 degrees is 20 degrees

3 0
3 years ago
Three friends decide that they each want to be able to buy a new bike in four years.IIiana puts $500 in a savings account with a
Lisa [10]

Answer:

Iliana will have the most money, with a total of $580

Step-by-step explanation:

We can find the amount of money that each one will have using the formulas of interest:

For Iliana and Joann, simple interest: Total money = P + P*r*t

For Cyndy, compound interest: Total money = P*(1+r)^t

So, using the time of four years, we can calculate the total money of each one:

Iliana: P = 500 and r = 0.04:

Total money = 500 + 500*0.04*4 = $580

Joann: P = 515 and r = 0.03:

Total money = 515 + 515*0.03*4 = $576.8

Cyndy: P = 500 and r = 0.035:

Total money = 500*(1+0.035)^4 = $573.7615

So Iliana will have the most money, with a total of $580

6 0
2 years ago
Read 2 more answers
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