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klasskru [66]
3 years ago
8

The product of a number and ten is twelve more than the product of the number and five-eighths.

Mathematics
1 answer:
ra1l [238]3 years ago
3 0
Let the unknown number be x.

Given,

10 * x = 12 +  \frac{5}{8}  * x

10x = 12 +  \frac{5x}{8}

10x -  \frac{5x}{8} = 12

\frac{(10x*8)-5x}{8} = 12

80x-5x =12*8

75x = 96

x = \frac{96}{75} = 1.28

Hence, the number is 1.28
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Answer:

Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..

Step-by-step explanation:

Given function is:

3[|x-1|+2]

Can also be written as:

3|x-1|+6

As we can see that the -1 is grouped with x which means it is a horizontal shift of 1 unit to the right.

Now, 6 is added to the function and it is not grouped with x which means that there is a vertical shift of 6 units upward.

Lastly, 3 is multiplied with the term containing x which means that there is a vertical stretch of 3 units.

Hence, the correct option is:

Horizontal shift of 1 unit to the right, a vertical shift upward of 6 units, and a vertical stretch by a factor of 3 ..

4 0
3 years ago
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Draw a histogram for the intervals 17-19, 20-22, 23-25, and 26-28 using the following data: 19, 19, 27, 20, 27, 26, 25, 26, 18,
snow_lady [41]

Intervals are given to us

19, 19, 27, 20, 27, 26, 25, 26, 18, 27, 20, 24, 19, 21, 27, 23, 21, 17, 22, 22

From the given data we need to create a frequency table

From 17 - 19 there are 5 numbers. they are 19,19,19, 18, 17

From 20 -22 there are 6 numbers . they are 20, 20, 21, 21, 22, 22

From 23 - 25 there are 3 numbers. they are 23, 24, 25

From 26 to 28 there are 6 numbers . they are 27, 27, 26, 26, 27, 27

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Answer:

use the reverse Pythagorean therm BC= 4 DE= 4.8

Step-by-step explanation:

The square root of 5(squared) - 3(squared) = 4

the square root of 8(squared) - 6.4(squared) = 4.8

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The local pizza parlor is filling an order of 40 pizzas for a school party. The circle graph shows the percentages of the differ
marysya [2.9K]

Answer:

C 10 pizzas

Step-by-step explanation:

We know that there are 40 total pizzas

We also know the percentage of each pizza, except mushroom.

By definition, the total percent of everything is 100%

If we add up what we know...we get the following:

10% Pineapple + 45% Pepperoni + 20% Ham equals 75%

10 + 45 = 55

55 + 20 = 75

If all the pizzas other than Mushroom equals 75% of the pizza toppings, then Mushroom must be 25% of the pizzas

100% - 75% = 25%

25% of 40 pizzas is 0.25 x 40 which equals 10

25% is also the same as 1/4 or one quarter...so 40 divided by 4 is also 10.

So the answer is C. 10 pizzas

Another was to approach this would be to figure out how many of each other pizzas there are.

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45% Pepperoni is 0.45 x 40 = 18 Pepperoni pizzas

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if you add 4 + 18 + 8 you get 30 pizzas

40 total pizzas minus 30 non mushroom pizzas leaves 10 mushroom pizzas

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