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Len [333]
2 years ago
8

The number 40.8 is what percent of 68?​

Mathematics
1 answer:
natali 33 [55]2 years ago
4 0
Step 1: We make the assumption that 68 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=68$100%=68​.

Step 4: In the same vein, $x\%=40.8$x%=40.8​.

Step 5: This gives us a pair of simple equations:

$100\%=68(1)$100%=68(1)​.

$x\%=40.8(2)$x%=40.8(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{68}{40.8}$
100%
x%​=
68
40.8​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40.8}{68}$
x%
100%​=
40.8
68​​

$\Rightarrow x=60\%$⇒x=60%​

Therefore, $40.8$40.8​ is $60\%$60%​ of $68$68​.
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Answer:

432 crayons

Step-by-step explanation:

convert 2 1/4 to 9/4

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24*8=192 for 1 case

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5 0
2 years ago
Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Ang
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

If P, Q and S are collinear, then the three points lies on the same straight line.

If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;

<P Q R + <R Q S = 180

Given

<R Q S =x+1

<P Q R = 3x-5

Substitute the given expression into the formula and calculate x;

3x-5+x+1 = 180

collect like terms

3x+x - 5+1 = 180

4x-4 = 180

4x = 180+4

4x = 184

divide both sides by 4

4x/4 = 184/4

x = 46°

To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.

m∠PQR = 3x-5

m∠PQR = 3(46) - 5

m∠PQR = 138 - 5

m∠PQR = 133°

Hence the measure of angle m∠PQR is 133°

4 0
3 years ago
Express the probability that a die wil land on a number less than 5 as a fraction
Rashid [163]

Answer:

\frac{2}{3}

Step-by-step explanation:

Values less than 5 on a die are 1, 2, 3, 4 ← 4 values out of a possible 6

P( < 5) = \frac{4}{6} = \frac{2}{3} in simplest form


7 0
3 years ago
What is the slope in the Y intercept of the line on the graph below
Archy [21]

Answer:

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6 0
2 years ago
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levacccp [35]

Answer:

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Step-by-step explanation:

Slope intercept form is in y = mx + b, where m is the slope and b is the y-intercept. In the first image, 2 is the y-intercept and 3 is the slope, yielding the equation y = 3x + 2.

For the second, 4 is the y-intercept and -1 is the slope, so the answer to the second image is y = -x + 4.

3 0
2 years ago
Read 2 more answers
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