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2 years ago

4/10 times 2/3 help me please

Mathematics

1 answer:

liraira [26]2 years ago

5 0

4/15
Multiple the numerator by numerator, and denominator by denominator, then simplify

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11. Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

azamat

Answer:

Step-by-step explanation:

The first term is simply a(1), and is 5.

The fourth term is a(4), and is 5 + (1/6)(4-1), or 5 3/6 or 5 1/2.

The tenth term is a(10), and is 5 + (1/6)(10 - 1), or 5 + 3/2, or 6 1/2.

4 0

3 years ago

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height

Lady_Fox [76]

Problem

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.

By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent.

Solution

the volume of a cylinder is given by:

$V=\pi r^2h$

We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:

$V=\pi(1.15r)^2\cdot(1.15h)=1.15^2\cdot1.15\cdot\pi\cdot r^2\cdot h=1.52\pi r^2h$

And the new volume would increase about 52%

5 0

1 year ago

Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days comb

Dafna11 [192]

Answer:

Exact form: 157/20

Decimal Form: 7.85

Mixed Number Form: 7/17/20

Step-by-step explanation:

6 0

2 years ago

17x-3y=4 2x-4y=1 the solution to the system of equations is

Burka [1]

ANSWER

$x=\frac{13}{62}$

and

$y= \frac{-9}{62}$ e have

EXPLANATION

$17x-3y=4---(1)$

$2x-4y=1$

Let us make y the subject and call it equation (2)

$2x=1+4y$

$x=\frac{1}{2}+2y--(2)$

We put equation (2) in to equation (1)

$17(\frac{1}{2}+2y)-3y=4$

$\frac{17}{2}+34y-3y=4$

$34y-3y=4- \frac{17}{2}$

Simplify to get,

$31y= \frac{8-17}{2}$

$31y= \frac{-9}{2}$

Divide both sides by 31,

$y= \frac{-9}{2} \div 31$

$y= \frac{-9}{2} \times \frac{1}{31}$

$y= \frac{-9}{62}$

We put this value in to equation (2) to get,

$x=\frac{1}{2}+2\times -\frac{9}{62}$

$x=\frac{1}{2} -\frac{18}{62}$

We collect LCM to obtain,

$x=\frac{31-18}{62}$

$x=\frac{13}{62}$

7 0

2 years ago

Using numbers and operations to write each phrase as an expression the difference between 58 and 47

evablogger [386]

58 - 47 = 11
(written out in spoken words)
fifty-eight minus forty-seven equals eleven

Hope this helps!

4 0

3 years ago