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ella [17]
3 years ago
7

10)

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

y = 2·x/3 - 1

Step-by-step explanation:

The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)

The point contained on the shorter base = (3, 1)

The slope of the line representing the longer base, <em>m</em>, is given as follows;

m = (0 - (-4))/(4 - (-2)) = 2/3

The slope of the shorter base = The slope of the longer base = m = 2/3

The equation of the line representing the shorter base in point and slope form is therefore;

y - 1 = (2/3)·(x - 3)

∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1

The equation of the shorter side of the trapezoid is y = 2·x/3 - 1

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Suppose the total weight of the fish caught stayed the same but instead of 100 fish caught during the weeklong fishing trip only
Paha777 [63]
The weight of each fish would be multiplied by 10.

Assume the first time, the weight was 800 lb.  Since there were 100 fish caught, the weight of each fish would be 800/100 = 8 lb.

This time, however, only 10 fish were caught.  The weight would be 800/10 = 80 lb.  

80 = 8(10), so the weight is 10 times more.
4 0
3 years ago
a car salesperson earns a $500 fee per car she sells.if she sells 4 cars in one day,how much money does she earn in fee?
serg [7]

Hi Chandlermatos13,

To find the answer to your problem we would need to multiply. $500 x 4 would be $2,000.

Your answer is $2,000

Hope this helps

Cupkake~

4 0
3 years ago
5. By using prime factorisation, determine if 324 and 588 are<br> perfect squares.
ad-work [718]

Step-by-step explanation:

first do prime factorization of 324= 2×2×3×3×3×3

= 2 square, 3 square,3 square

therefore 324 is a perfect square

Now,

prime factorization of 588=2×2×3×7×7

= 2 square,7 square ,3

therefore 588 is not a perfect square

3 0
2 years ago
An urn contain 2 white marbles, 3 green marbles, and 5 red marbles. A marble is drawn and then replaced. Then a second marble is
11111nata11111 [884]

<u>Answer:</u>

1/5

<u>Step-by-step explanation:</u>

To find this you would need to multiply the probability of pulling a white marble to the probability of pulling out a green marble.

1)First you would need the probability of pulling out a white marble. There are 10 marbles in total and out of those 2 are white. So the probability of pulling out a white marble would be 2/10. If you simplify that you would get 1/5 for the probability of pulling out a white marble.

2)Next, you would find the probability of pulling out a green marble. Using the same process that we used to find the probability of pulling out a white marble, we would find the answer to be 3/10. All that we did here was <em>green marbles/total marbles</em>. By filling that in we got 3/10 for the probability of pulling out a green marble.

3)Now all that is left is doing <em>probability of pulling a white marble × probability of pulling out a green marble</em>. This would be 1/5 × 3/10. After solving the answer would be 3/15 which we would simplify down to 1/5 as our final answer.

5 0
3 years ago
2) Angelina is deciding which bank would give her the
Nutka1998 [239]

Answer:

3.33%

Step-by-step explanation:

Given that :

Final amount A= 320

Principal P = 300

Time (t) = 2 years

Yes, the information is enough to obtain the interest rate :

Using the relation :

A = P(1 + rt)

r = interest rate

320 = 300(1 + r*2)

320 = 300(1 + 2r)

320/300 = 1 + 2r

1.0666666 = 1 + 2r

1.0666666 - 1 = 2r

0.0666666 = 2r

r = 0.0666666 / 2

r = 0.0333333

(0.0333333) * 100% = 3.33%

7 0
2 years ago
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