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sattari
7 days ago
8

Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m

inutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0.
What is Ava’s speed in miles per hour?
Mathematics
2 answers:
Inessa [3.9K]7 days ago
6 0

Answer:

45 mph

Step-by-step explanation:

Calculate the unit rate (i.e., speed):

6 mi        60 min

--------- * ------------- = (3/4)(60) mph = 45 mph

8 min       1 hr

Zina [3.9K]7 days ago
6 0

Answer:

0.75 miles each minute

Step-by-step explanation:

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The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
Leona [4166]
Area of a rectangle = length x width
For this postcard:
length = 4 in
width = (3+b) in
area = 24 in^2

Substitute into the area formula:
24 = 4 x (3+b)
24 = 12 + 4b
24 - 12 = 4b
12 = 4b
b = 3 in

Therefore:
the length of the postcard = 4 inch
the width of the postcard = b+3 = 3 + 3 = 6 inch
4 0
14 days ago
Stacy wishes to reduce the milk fat content of 5 pints of cream which is 15% fat by combining it with 7 pints of milk which is o
AnnZ [3877]

Answer:

The fat percentage in the blend amounts to 8%.

Step-by-step explanation:

Let

x -----> represent the fat percentage in the mix.

We understand that

The total of milk's volume times its fat percentage, added to cream's volume times its fat ratio, must match the overall mixture's volume times its fat percentage.

Keep in mind that

15% = 15/100 = 0.15

3% = 3/100 = 0.03

therefore

5(0.15)+7(0.03)=(5+7)(x)

Now, solve for x

0.75+0.21=12x

0.96=12x

x=0.08

Convert that into a percentage

0.08*100=8\%

4 0
1 day ago
At the warm-up event for Oscar’s All Star Hot Dog Eating Contest, Al ate one hot dog. Bob then showed him up by eating three hot
Inessa [3907]

Answer: Zeno consumed 51 hot dogs.

The total number of hot dogs consumed was 676.

Step-by-step explanation:

Al started by eating one hot dog. Bob then outperformed him by devouring three hot dogs. Carl, not wanting to fall behind, ate five hot dogs. This pattern continued, with each participant consuming two hot dogs more than the previous one. This indicates that the quantity of hot dogs eaten by each contestant followed an arithmetic sequence.

The formula for finding the nth term in an arithmetic series is given by

Tn = a + (n - 1)d

Where

a denotes the first term in the sequence.

d signifies the common difference.

n stands for the total terms in the sequence.

<pBased on the details provided,

a = 1 hot dog

d = 3 - 1 = 2 hot dogs

We aim to find how many hot dogs the 26th contestant, T26, consumed. Thus,

T26 = 1 + (26 - 1)2 = 1 + 50

T26 = 51 hot dogs

The formula to calculate the sum of n terms in an arithmetic sequence is

Sn = n/2[2a + (n - 1)d]

Hence, to find the total number of hot dogs consumed by 26 contestants, S26 is calculated as

S26 = 26/2[2 × 1 + (26 - 1)2]

S26 = 13[2 + 50]

S26 = 13 × 52 = 676 hot dogs

5 0
9 days ago
A salesperson has to drive 500 miles. For the first three hours she drove at 65 mi/h. For the next two hours she drove at 55 mil
AnnZ [3877]
       Short answer: 195
First, you multiply 65 by 3, yielding 195 miles.
Then, multiplying 55 by 2 gives you 110 miles.

By summing both distances, you arrive at 305.
From 500, if you subtract 305, you find =195.
4 0
1 day ago
A newspaper reports the following changes in the temperature of a city over 4 days: 3.24 degrees Celsius, negative 3 over 8 degr
PIT_PIT [3919]
 To find the average daily change in temperature, total the four daily changes and divide the sum by 4:

(3.24, -0.375, -0.15, 0.778) / 4 results in about 0.87 degrees per day.
7 0
3 days ago
Read 2 more answers
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