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Tanya [424]
2 years ago
8

Amira wants to ride her bicycle 48 miles this week. She has already ridden 18 miles. If she rides for 5 more days, write and sol

ve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.
Mathematics
1 answer:
sergij07 [2.7K]2 years ago
5 0
Answer is 6 miles per day
Answer is equation 48 = (x)(5) + 18

Step by step

You can use y intercept equation
y = mx + b

y = 48 total miles
m = rate of miles unknown
x = 5 days
b = starting point of 18 miles already ridden

48 = (x) (5) + 18

48 = 5x + 18

Subtract 18 from both sides to isolate the variable

48 - 18 = 5x + 18 - 18

30 = 5x

Now divide both sides by 5 to solve for x

30/5 = 5/5 x

X = 6 miles per day

Check your work, substitute 6 for x in your equation

48 = (6) (5) + 18
48 = 30 + 18
48 = 48

Problem solved!!
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Consider random samples of size 80 drawn from population A with proportion 0.48 and random samples of size 66 drawn from populat
gogolik [260]

Answer:

Standard error = 0.070

Step-by-step explanation:

Formula for the standard error of the distribution of differences in sample proportions is;

σ_(A - B) = √((p_a^(1 - p_a^)/n_a) + (p_b^(1 - p_b^)/n_b))

We are given;

p_a^ = 0.48

n_a = 80

p_b^ = 0.13

n_b = 66

Thus;

σ_(A - B) = √((0.48(1 - 0.48)/80) + (0.14(1 - 0.13)/66))

σ_(A - B) = √0.00496545455

σ_(A - B) = 0.070

5 0
3 years ago
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0
Mariulka [41]

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

6 0
3 years ago
A drink dispenser fills cups at a rate of 2 ounces per second. Adrain has 64 ounce cup that already contains 18 ounces of water.
diamong [38]

Answer:

23 seconds

Step-by-step explanation:

First, find out how many ounces left are needed to fill the water. Subtract the total, 64, by the already filled, 18. This should get you the answer of 46.

Since the dispenser fills 2 ounces per second, you need to divide the number 46 by 2 in order to find the amount of time in seconds it would take to fill the rest of the cup.

Therefore, your answer is 23 seconds.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Find the first, fourth, and 10th terms of the arithmetic sequence described by the given rule.
mrs_skeptik [129]

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4 0
3 years ago
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At Best Buy they have a 60" TV that sells for $1250 and is on sale for 15% off. If the sales tax is 6.5%, what is the final cost
NNADVOKAT [17]

Answer:

Step-by-step explanation:

The sale price = Initial Cost - 15% of the initial Cost

The sale price = 1250 - 15/100 * 1250

The sale price = 1250 - 187.5

The Sale Price = 1062.5

Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

7 0
3 years ago
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