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Crank
1 year ago
6

Ratio and Proportion 19. The ratio 9: x is equivalent to 36:20. What is the value of x?

Mathematics
1 answer:
Flauer [41]1 year ago
5 0

Answer:

9:x = 36:20

9/x = 36/20

x/9 =20/36

x=(20/36)×9

x=5

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If a 9
lyudmila [28]

Answer:

$2.63

Step-by-step explanation:

$23.67/9packets

$2.63/packet

3 0
3 years ago
What is the area of this trapezoid?
Ivanshal [37]

Answer: 357 cm²

Step-by-step explanation: In this problem, were asked to find the area of the trapezoid shown. Remember that a trapezoid is a quadrilateral with one pair of parallel sides. The formula for the area of a trapezoid is shown below

The b's are the bases or the parallel sides and the h represents the height.

So in the trapezoid shown, the bases are 15 cm and 27 cm and the height is 17 cm.

Plugging this information into the formula, we have .

Next, the order of operations tells us that we must simplify inside the parentheses first. 15 cm + 27 cm is 42 cm and we have

1/2 × 42 cm is 21 cm and we have (21 cm)(17 cm) which is 357 cm².

So the area of the trapezoid shown is 357 cm².

5 0
3 years ago
The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $
garri49 [273]

Complete question :

The average amount that a college student spends on a textbook is $205 with a

standard deviation of $35. What is the probability that a student spends:

A. between $10 and $310?

Answer:

0.999

Step-by-step explanation:

Mean, m = 205 ; Standard deviation, s = 35

Z = (x - m) / s

x = 310

Z = (310 - 205) / 35 = 3

P(z < 3) = 0.99865

x = 10

Z = (10 - 205) / 35 = - 5.57

P(Z < - 5.5)

P(z < 3) - P(z < - 5.5)

0.99865 - 0

= 0.999

5 0
3 years ago
Simplify the expression (7 + 9i)(8 - 10i)
NeX [460]

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

<h3>How to simplify the expression?</h3>

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

Read more about complex numbers at:

brainly.com/question/10662770

#SPJ1

6 0
2 years ago
1025 + 503 – 1412 – 7
Andreyy89

Answer: a

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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