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3 years ago

Can someone please explain 10 3/4 - 6 4/4 ??

Mathematics

2 answers:

xxMikexx [17]3 years ago

7 0

Answer:

43/4 - 28/4 = (43 - 28)/4 = 15/4 or 3 3/4

Step-by-step explanation:

10 3/4 - 6 4/4 . The expression means we should find the difference between 10 3/4 and 6 4/4. The best approach to find the difference of this kind of fractions with whole number is by turning each to an improper fraction.

10 3/4 . This whole number fraction can be turn to an improper fraction as follows

10 × 4 + 3 = 43 then 43/4

6 4/4. 4 × 6 + 4 = 28/4.

Now , let's find the difference

The denominator is same, which is 4

43/4 - 28/4 = (43 - 28)/4 = 15/4 or 3 3/4

motikmotik3 years ago

4 0

3 3/4 is the answer

10 3/4 --- 43/4

6 4/4--- 7 or 28/4

43/4- 28/4= 15/4

15/4 simplified is 3 3/4

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In 2015 Organization raised $543. The following year they raised $89. How many money did they raised over the two period? Show h

galina1969 [7]

Answer:

632

Step-by-step explanation:

So you take one from the 3 to make it 2 and add it on to 89 to make 90. next take 10 from 542 and add it to the 90, you get 100. Then 532 + 100 = 632

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3 years ago

Read 2 more answers

When a dividend greater than 1 is divided by a divisor less than 1, the quotient is

marysya [2.9K]

Answer:

Dividing by 1 gives a quotient equal to the dividend. When the divisor is less than 1, the quotient is larger than the dividend. Decreasing the divisor to 1/2 increases the quotient to 10 1/2 When the divisor is smaller than the dividend, the quotient is more than 1.

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3 years ago

Write an expression for the cost per person if five friends share the cost of a dinner equally.

Leto [7]

Answer:

Let c=cost of dinner, 5=the # of people, and P=the cost of person

P=C/5

b. P = (1000)/5

P = 200

Step-by-step explanation:

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3 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth.

amm1812

Answer:

Volume of the Figure $=825.38m^3$

Step-by-step explanation:

Volume of the figure = Volume of the Upper cone+Volume of the lower cone

Volume of a cone = $\pi *r^2*\frac{h}{3}$

Volume of the Upper Cone with

$height=12m$

$radius=6m$

$3.14*6*6*\frac{12}{3}$

$=3.14*6*6*4\\\\=3.14*36*4\\\\=3.14*144\\\\=147.14m^3$

Volume of the Lower cone with $radius=6m$ and $height=18m$

$=3.14*6*6*\frac{18}{3} \\\\=3.14*6*6*6\\\\=3.14*36*6\\\\=3.14*216\\\\=678.24m^3$

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4 0

3 years ago

Ice cream usually comes in 1.5-quart boxes (48 fluid ounces), and ice cream scoops hold about 2 ounces. However, there is some v

Troyanec [42]

Answer:

(a) The expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b) The expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

Step-by-step explanation:

The random variable X and Y are defined as follows:

X = amount of ice cream in the box

Y = amount of ice cream scooped out

The information provided is:

E (X) = 48

SD (X) = 1

V (X) = 1

E (Y) = 2

SD (Y) = 0.25

V (Y) = 0.0625

(a)

The total amount of ice-cream served at the party can be expressed as:

X + 3Y.

Compute the expected value of (X + 3Y) as follows:

$E(X+3Y)=E(X)+3E(Y)\\= 48+(3\times2)\\=48+6\\=54$

Compute the variance of (X + 3Y) as follows:

$V(X+3Y) = V (X)+3^{2}V(Y)+2\times 3Cov (X,Y)\\=1+(9\times0.0625)+0\\=1.5625$

Then the standard deviation of (X + 3Y) is:

$SD(X + 3Y) =\sqrt{V(X + 3Y)}\\\sqrt{1.5625}\\=1.25$

Thus, the expected value and standard deviation of the amount of ice cream served at the party are 54 ounces and 1.25 ounces respectively.

(b)

The amount of ice-cream left in the box after scooping out one scoop is represented as follows:

X - Y.

Compute the expected value of (X - Y) as follows:

$E(X-Y)=E(X)-E(Y)\\=48-2\\=46$

Compute the variance of (X - Y) as follows:

$V(X - Y) =V(X)+V(Y)-2Cov(X,Y)\\=1+0.0625-0\\=1.0625$

Then the standard deviation of (X - Y) is:

$SD(X-Y) =\sqrt{V(X -Y)}\\\sqrt{1.0625}\\=1.031$

Thus, the expected value and standard deviation of the amount of ice cream left in the box after scooping out one scoop are 46 ounces and 1.031 ounces respectively.

(c)

The variance of the sum or difference of two variables is computed by adding the individual variances. This is because the variance of each variable is dependent on the others.

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3 years ago