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Pie
2 years ago
12

Julie ran 32.4 miles in May and 35.8 miles in June. Greg ran the same total distance as Julie, but only ran 29.6 miles in May. H

ow far did Greg run in June?
A.
33.0 miles

B.
6.2 miles

C.
2.8 miles

D.
38.6 miles
Mathematics
1 answer:
ankoles [38]2 years ago
6 0
You take the amount of miles julie did and subtract the amount that greg did in may to get the total distance he ran in june which is 2.8
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An artist designed a metal structure in the shape of a pyramid with dimensions as shown. A pyramid has a square base with side l
bagirrra123 [75]

Answer:

Step-by-step explanation:

In order to determine the number of

tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as

Total surface area = 1/2 × p × l + base area

Where

p represents the perimeter of the base

l represents the slant height of the triangular face

Since the base is a square, the perimeter, p is

12 × 4 = 48 feet

l = 15 feet

Base area = 12² = 144 ft²

Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²

Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is

504/1 = 504 tiles

6 0
3 years ago
Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun
tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

<em>Use the formula to calculate compound interest</em>:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can <u>combine the formulas</u> into:

A = P(1+\frac{r}{c})^{tc}

"c" is the compounding periods in a year. (quarterly = 4)

<u>We know</u>:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

<u>Substitute the information in the formula</u>.

A = P(1+\frac{r}{c})^{tc}

A = 8000(1+\frac{0.1}{4})^{15*4}      Solve "i" and "n"

A = 8000(1+0.025)^{60}        Solve inside the brackets

A = 8000(1.025)^{60}         Do the exponent before multiplying by 8000

A = 35198.318             Exact answer

A ≈ 35198.32              Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0
3 years ago
Factor the expression. 6x^2 + 5x + 1
Whitepunk [10]

Answer:

Option C

Step-by-step explanation:

6x² +5x + 1

6x² + 3x + 2x + 1

3x(2x + 1) + 1(2x + 1)

(3x + 1)(2x + 1)

6 0
3 years ago
Read 2 more answers
John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun
galina1969 [7]

Answer:

x\geq3

12x+7y\leq63

y\geq0

Step-by-step explanation:

If we let x be the amount of live bait and y be the amount of natural bait, Then we can come up with the following inequalities;

We are told that John would like to get at least 3 pounds of live bait. At least 3 means 3 or more. Since x represents the amount of live bait, we have;

x\geq3

Moreover,we are informed that;

The store sells live bait for $12 a pound and natural bait for $7 a pound. x pounds of live bait would cost 12x while y pounds of natural bait would cost 7y. The total cost would thus be;

12x + 7y

but John only has a budget of $63. This implies that he can spend $63 at most, thus;

12x+7y\leq63

Finally we can have our last inequality as;

y\geq0

8 0
3 years ago
Are intersecting lines coplanar?
worty [1.4K]

yes it is always coplanar with two intersecting lines.


8 0
2 years ago
Read 2 more answers
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