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pentagon [3]
3 years ago
7

60% of what number is 21

Mathematics
2 answers:
trapecia [35]3 years ago
4 0
'of' in mathematics means multiplication
'is' in mathematics means equal

Translating 60% of what number is 21 into an equation, we get:

60% * x = 21

60%, or 60 percent, is 60 over 100 which is 60/100. This can be simplified to 3/5.

3/5 * x = 21

Multiply both sides by 5.

3/5 * 5 * x = 21 * 5

3x = 105

Divide 3 on both sides.

3x/3 = 105/3

x = 35

60% of 35 is 21.
Lerok [7]3 years ago
3 0
60% of 35 is 21 

Change the percentage (60) into a decimal by dividing it over 100:
\frac{60}{100} = 0.6

Divide 21 by the decimal:
<span>\frac{21}{0.6} = 35</span>
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The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

4 0
3 years ago
Find the slope of the line that passes through (8, 4) and (5, 2).
Troyanec [42]

If u you do the slope formula...(m=y2-y1/x2-x1)

2-4/5-8
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8 0
3 years ago
A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

Answer:

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.325

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

3 0
3 years ago
Ke Shawn is placing a right triangle in the coordinate plane. He knows that the longer leg is twice the length of the shorter le
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7 0
4 years ago
Find the value of x.
Karolina [17]

Answer:

x=21

Step-by-step explanation:

Following the vertical angles, we can assume that the equation that has x and 87 are equal to each other. From then, you set them equal to each other and solve for x.

87=4x+3

84=4x                  subtract 3 from both sides

21=x                     divide by 4 to get the x alone on both sides

6 0
2 years ago
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