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just olya [345]
2 years ago
9

PLEASE help me ; - ; (USAtest prep)

Mathematics
1 answer:
nadezda [96]2 years ago
4 0
What do u want help with and take it easy btw
You might be interested in
What is the average acceleration of a southbound train that slows down from 15 m/s to 8.6 m/s in 1.2 s?
horrorfan [7]

Answer:

The average acceleration of train is 5.34\ m/s^2

Step-by-step explanation:

We have,

A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.

It is required to find the average acceleration of the train.

a=\dfrac{v-u}{t}\\\\a=\dfrac{(8.6-15)\ m/s}{1.2\ s}\\\\a=-5.34\ m/s^2

The average acceleration of train is 5.34\ m/s^2.  Negative signs shows that the train is decelerating.

5 0
3 years ago
Three pounds of lawn seed covers 1800 square feet how many 4 pound bags are needed to cover 8400 square feet.
VikaD [51]
You need to find the unit rate of 3 : 1800 first by dividing 1800 and 3

1800 ÷ 3 = 600

So this means for every 1 pound bag it covers 600 square feet. You now need to multiply 600 and 4 to see how many square feet 4 pounds cover.

600 × 4 = 2400

So each 4 pounds covers 2400 sq ft. Now you have to divide 8400 and 2400 to find how many bags of 4 pounds you need

8400 ÷ 2400= 3.5

You need 3.5 bags of 4 pounds.
Technically you would need 4 bags because you’d have to round it up.

Hope this helps you!! :)

7 0
3 years ago
Morgan’s grandmother orders her groceries online and has them delivered to her house. Her bill is $120. She has a coupon for 20%
iragen [17]

Answer:

The total price of the groceries, including discount and tip is $110.4.

Step-by-step explanation:

Here, the bill amount of groceries   = $120

Now, the coupon off  = 20%

Calculating the discount, we get

20% of bill amount $120  =   20% of 120  = \frac{20}{100}  \times 120  = 24

So, the 20% discount on the bill amount = $24

The actual payable amount = Bill Amount  - Discount

                                                =  $120 - $24  = $96

Now, 15% tip is also applied on the actual payable amount $96.

15% of 96 = \frac{15}{100}  \times 96  = 14.4

So, the total price t  = Payable amount + Tip amount

                                 = $96 +  $14.4   =  $110.4

or, t = $110.4

Hence, the total price of the groceries, including the discount and the tip  is  t = $110.4.

6 0
3 years ago
5x+18/8 = x/4 <br> Solve for x
ollegr [7]

Answer: x= -9/19

Step-by-step explanation:

5x+18/8=x/4

5x+ 9/4=x/4

5x+9/4-9/4=x/4-9/4

5x= x-9/4

5x(4)=x-9/4(4)

20x=x-9

20x-x=x-9-x

19x=-9

19x/19=-9/19

x=-9/19

8 0
3 years ago
Warren has a container which holds 22 books of the same shape and size. The exact breakdown of his books is shown below:
ohaa [14]

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

P(\text{White})=\dfrac{6}{22}

P(\text{Purple})=\dfrac{9}{22}

P(\text{green})=\dfrac{7}{22}

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

P=P(\text{green})\times P(\text{green})

P=\dfrac{7}{22}\times \dfrac{7}{22}

P=\dfrac{49}{484}

Therefore, the correct option is (a).

7 0
3 years ago
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