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3 years ago

Harriet calculated 27 divided 4 = 6.75 how can you find 270 divided 4 without dividing

Mathematics

1 answer:

densk [106]3 years ago

8 0

ANSWER

Rewrite and make substitution.

EXPLANATION

Since Harriet calculated 27 divided 4 and had 6.75.

This means that:

$\frac{27}{4} = 6.75$

Now we want to find

$\frac{270}{4}$

without divide.

Therefore we need to rewrite the expression so in terms of

$\frac{27}{4}$

so that we can substitute.

This will give us;

$\frac{270}{4} = \frac{27}{4} \times 10$

This implies that,

$\frac{270}{4} = 6.75 \times 10$

$\frac{270}{4} = 67.5$

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a TV has a listed price of 813.95 before tax if the sales tax rate is 6.5% find a total cost of the tv with the sales tax includ

shusha [124]

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First convert the percentage to a decimal

6.5% = .065

Then multiply .065*813.95 = 52.90675. This is the tax.

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813.95 + 52.90675 = $866.86 (rounded)

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3 years ago

Read 2 more answers

Someone please help me on number 30. Thank you

timurjin [86]

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3 years ago

Mario and Luigi have friends. They want to purchase some extra controllers. Each controller costs $29.99.

jonny [76]

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Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all

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C = 299x + 59.99y + 29.99z

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3 years ago

F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the<br> coordinates of F?

Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) = (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

$l_{HF} = \sqrt{\left (4-7 \right )^{2}+\left (1-(-11) \right )^{2}} = \sqrt{\left (-3 \right )^{2}+\left (12 \right )^{2}} = 3\cdot \sqrt{17}$

Similarly, we check the length of HJ, to get;

$l_{HF} = \sqrt{\left (3-7 \right )^{2}+\left (5-(-11) \right )^{2}} = \sqrt{\left (-4 \right )^{2}+\left (16 \right )^{2}} = 4\cdot \sqrt{17}$

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

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3 years ago

A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 8 inches and a height of 3 inches. How muc

Sveta_85 [38]

Answer:

18,086.4 cubic units

Step-by-step explanation:

The volume of one such cylinder can be computed by multiplying the height by pi by the radius squared: 3×3.14×4²=150.72.

If you want to make 120 candles, multiply that number by 120: 150.72×120=18086.4.

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3 years ago