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3 years ago

The sum of three consecutive even integers is 312. Find the Integers.

Mathematics

1 answer:

bagirrra123 [75]3 years ago

4 0

Answer:

104, 105, 106

Step-by-step explanation:

Consider three consecutive integers. If the first is x then the second is 1 more than x (or x+1) and the third is x+2

The sum of these three integers is x + x+1 + x+2 and is known to be 312, so

x + x+1 + x+2 = 312, gather like terms

3x + 3 = 312, subtract 3 from both sides

3x = 309, divide both sides by 3

x = 104, so the integers are

104, 105, 106

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A right rectangular prism's edge lengths are 14 inches, 6 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 2/5

DochEvi [55]

ANSWER

4375 unit cubes

EXPLANATION

The volume of a right rectangular prism is given by;

$V=lbh$

We substitute the given dimension to obtain,

$V=14 \times 6 \times \frac{10}{3} = 280i {n}^{3}$

The volume of the unit cube with edge lengths

$\frac{2}{5}$

$(\frac{2}{5})^{3} = \frac{8}{125} {in}^{3}$

To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.

$= \frac{280}{ \frac{8}{125} }$

$= 4375$

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3 years ago

Help with this algebra question

choli [55]

If two lines are perpendicular, the slope of one of the lines is the negative reciprocal of the other. Since we know the slope for one of our lines, $2$ m lets find the other:
$m=- \frac{1}{2}$

Now, lets use the point-slope formula to complete the equation of our perpendicular line:
$y-y_{1}=m(x-x_{1})$
$y-5=- \frac{1}{2} (x-2)$
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$y=- \frac{1}{2} x+6$

We can conclude that our perpendicular line is $y=- \frac{1}{2} x+6$

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4 years ago

Read 2 more answers

The sales tax for an item was $8.80 and it cost $440 before tax.

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

In non-mathematical form, the question is asking $8.80 is what percent of $440. N will equal the percent. So, you would set up the equation like this: 20 = N · 440

You need to solve the equation.

20/440 = N · 440/440

0.045 repeating = N

Rounded, the sales tax rate would be 4.5%

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I actually dont know.what grade r u in?

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3 years ago

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Vikentia [17]

Step-by-step explanation:

So 2 pints = 1 quart

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6 pints = 3 quart

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The she need 6 pints which is

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She need 6, so mutiply with 6

2 cups × 6 = 1 pint × 6

12 cups = 6 pints

Then this is the answer, you got

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