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3 years ago

Decrease 216 by 37 1/2%

Mathematics

1 answer:

Anon25 [30]3 years ago

8 0

Step-by-step explanation:

In this question we need to decrease 216 by $37\dfrac{1}{2}\%$ or 37.5 %.

For this, firstly find 37.5 % of 216.

$37.5\%\ \text{of}\ 216=\dfrac{37.5}{100}\times 216\\\\=81$

Now subtracting 81 from 216 to find decrease of 216 by 37.5 %.

So,

216-81 = 135

Hence, 135 is the decrease of 216 by 37.5 %.

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Find p and q for which the linear eqn has infinite solutions

jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0

3 years ago

Which equation should be used to find the volume of the figure?

DaniilM [7]

Answer:

Given that

John can run 100 meters dash in 16 --------- seconds .

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

1 16 * 5 + 1 80 + 1 81

16 -------- = --------------------------- = -------------- = - -----------

5 5 5 5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

19 8

---------- seconds .

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2 162

---------- = ------------ seconds .

5 * 2 10

John is taking less time than Savanna . Thus John is faster .

Difference

198 162 36

------- - ------- = ------- seconds

10 10 10

Thus John is faster by (36/10 ) seconds = 3.6 seconds.

Step-by-step explanation:

Given that

John can run 100 meters dash in 16 --------- seconds .

Savanna 's time is 19.8 seconds .

Here we have John time in mixed fraction and Savanna's time in decimal .

Converting mixed fraction into improper .

1 16 * 5 + 1 80 + 1 81

16 -------- = --------------------------- = -------------- = - -----------

5 5 5 5

Thus we got John time as 81 /5 seconds .

Converting Savanna's time in fraction , we get

19 8

---------- seconds .

We have two fractions with different denominator .

One is having denominator 5 and another is having denominator 10 .

We need to make the denominator same of both the fraction .

We need to make denominator 10 .

Multiply John fraction by 2 in both numerator and denominator by 2 to make denominator 10 .

81 * 2 162

---------- = ------------ seconds .

5 * 2 10

John is taking less time than Savanna . Thus John is faster .

Difference

198 162 36

------- - ------- = ------- seconds

10 10 10

Thus John is faster by (36/10 ) seconds = 3.6 seconds.

4 0

2 years ago

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puteri [66]

Answer:

the answer is B the image will be in quadrant III

Step-by-step explanation:

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Four ingredients costing $320 per kg $240 per kg $160 per kg and $85 kg are mixed so that air masses are in the ratio 4:1:3:2. c

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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