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Papessa [141]
3 years ago
8

50% of a number is 32 what is the number

Mathematics
2 answers:
Ronch [10]3 years ago
7 0

Answer:

64

Step-by-step explanation:

let the number be x

according to the question ,

50 % of x = 32

50/100 * x = 32

50x = 32 *100

x = 3200/50

x = 64

therefore a number is 64

Paladinen [302]3 years ago
6 0

Answer:

64

Step-by-step explanation:

Half (50%) of 64 would be 32

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Henry used benchmark fraction to compare the lenghts of grasshoppers 5/8 and 7/4. Which grasshopper is longer? Explain.
Goryan [66]
------------------------------------------------------
Change the denominators to be the same
------------------------------------------------------
5/ 8 = 5/8
7/4 = 14/8

Since the denominators are the same, the larger the numerator, the larger the fraction. Therefore 14/8 (7/4) is greater than 5/8. 

14/8 > 5/8
7/4  >  5/8

---------------------------------------------------------------------------------
Answer: The grasshopper that is 7/4 unit long is longer
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6 0
3 years ago
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In 15 minutes Frankita created 15 drawings. In 30 minutes she created 17 drawings. In 45 minutes she created 20 drawings. In 60
SVETLANKA909090 [29]

Answer:

Frankita will create <u>29</u> drawings at the end of 75 minutes.

Step-by-step explanation:

Now below shown is the pattern used by Frankita:

15 min = 15 drawing

30 min = 17 drawing                ⇒ increase by 2 (15+2 = 17)

45 min = 20 drawing               ⇒ increase by 3 (17+3 = 20)

60 min = 24 drawing               ⇒ increase by 4 (20+4 = 24)

75 min = 29 drawing               ⇒ increase by 5 (24+5 = 29)

Hence We can say that Frankita will create <u>29</u> drawings at the end of 75 minutes.

8 0
4 years ago
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
hammer [34]

Answer:

<em>x = 59</em>

Step-by-step explanation:

<u>Equations</u>

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:

x + x + 2x + 3 + 2x + 3 = 360

Simplifying:

6x + 6 = 360

Subtracting 6:

6x = 354

Dividing by 6:

x = 354/6

x = 59

5 0
3 years ago
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Which of the following describes the transformation of g (x) = 3 (2) Superscript negative x Baseline + 2 from the parent functio
Tanzania [10]

Option d: reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

Step-by-step explanation:

The parent function is f(x)=2^{x}

The transformation function is g(x)=3(2)^{-x} +2

In the transformed function, the function is added +2, which shifts the graph by 2 units up.

Also, the function is multiplied by 3, which stretches the function f(x)=2^{x}  vertically by a factor of 3 units.

The variable x is multiplied by -1, such that the function reflects across y-axis.

Thus, the correct answer is option d.

The graph is attached below which shows the parent function and the transformed function.

The transformation function is reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

8 0
3 years ago
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Yis inversely proportional to the square of x.
PtichkaEL [24]

Answer:

(a) y = \frac{4}{x^2}

(b) x = \frac{2}{5}

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

y\ \alpha\ \frac{1}{x^2}

See attachment for table

Solving (a):

First convert variation to equation

y = k\frac{1}{x^2}

From the table:

(x,y) = (1,4)

So, we have:

4 = k * \frac{1}{1^2}

4 = k * \frac{1}{1}

4 = k * 1

4 = k

k = 4

Substitute 4 for k in y = k\frac{1}{x^2}

y = 4 * \frac{1}{x^2}

y = \frac{4}{x^2}

Solving (b): x when y = 25.

Substitute 25 for y in y = \frac{4}{x^2}

25 = \frac{4}{x^2}

Cross Multiply

25 * x^2 = 4

Divide through by 25

x^2 = \frac{4}{25}

Take positive square roots of both sides

x = \sqrt{\frac{4}{25}

x = \frac{2}{5}

4 0
3 years ago
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