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anzhelika [568]
3 years ago
14

Plastic cups come in packages of 24 and straws come in packages of 20, whats the smallest number of each that could be bought so

that you had the same amount of cups and straws? 200 240 120 480
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

120

Step-by-step explanation:

No. of plastic cups = 24

No. of straws =20

We need to find the smallest number of each that could be bought so that you had the same amount of cups and straws.

Prime factrisation of 24 = 2×3×2×2

Prime factorisation of 20 = 2×5×2

LCM = 120

Hence, the smallest number of each type will be 120.

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\frac{3.2}{0.8} = \frac{32}{8} = \frac{4\times 8}{8} = 4
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Which of the expressions are equivalent to the one below? Check all that apply. 13. (11 + 5)​
kondor19780726 [428]

Answer: 11+5=16

Step-by-step explanation: 14, 15, 16, 17 and 18

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3 years ago
Alex has a job delivering newspapers. He puts 20% of his earnings each week into his college savings account. Each week he puts
gizmo_the_mogwai [7]

80 \times 0.15 = 12
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Write the faction ration for each of the following.<br> If m
Aleksandr-060686 [28]

Answer:

\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0

Step-by-step explanation:

In any right triangle, the following is true:

The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)

The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus,

\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},

\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}

4 0
3 years ago
You decide that you want to purchase a Tesla SUV. You borrow \$95,000 for the purchase. You agree to repay the loan by paying eq
liraira [26]

Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}

A(t) = 95000(1.005)^{12t}

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

14400t = 95000(1.005)^{12t}

Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

5 0
2 years ago
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