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3 years ago

8

You have a large container of olive oil. You have used 22 and 1/2 quarts of oil. Twenty five percent of the olive oil remains. H

ow many quarts of olive oil remain?

1 answer:

Nata [24]3 years ago

7 0

Answer:

There is <u>7.5 quarts </u>of olive oil remaining.

Step-by-step explanation:

25% = 1/4

22.5 quarts = 3/4

22.5 ÷ 3 =<u> 7.5 quarts remaining</u>

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How do you find the area of a triangle when given only the lengths of three sides?

SashulF [63]

Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

$s = \dfrac{a + b + c}{2}$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

$s = \dfrac{a + b + c}{2}$

$s = \dfrac{3 + 4 + 5}{2}$

$s = 6$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

$area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)}$

$area = \sqrt{6(3)(2)(1)}$

$area = \sqrt{36}$

$area = 6$

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2 years ago

A science class has 3 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. the teacher randomly sele

brilliants [131]

In the science class,
there are 3 girls and 1 boy (grade 7)
and 5 girls and 5 boys (grade 8)
There is a total of 14 pupils being 8 girls and 6 boys
The probability of choosing a boy will be $\frac{6}{14}$
Which can be simplified into $\frac{3}{7}$ by dividing 2 from the numerator as well as the denominator.

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4 years ago

Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 9) and pe

pogonyaev

Answer:

vector equation and parametric equations for the line are;

r(t) = < 1, 0, 9 > + t< 1, 3, 1 >

x(t),y(t),z(t) = < 1 + t, 3t, 9 + t >

Step-by-step explanation:

Given the data in the question;

Plane = x + 3y + z = 5

Normal of pane ⇒ <a> = < 1, 3, 1 >

As line is perpendicular to pane, Line is parallel to normal of plane.

⇒ Direction ratio of line < 1, 3, 1 >

Also line passes through < 1, 0, 9 >

so

r(t) = < 1, 0, 9 > + t< 1, 3, 1 >

Also,

(x-1)/1 = (y-0)/3 = (z-9)/1 = t

⇒ (x-1)/1 =t, (y-0)/3 = t, (z-9)/1 = t

⇒ x = 1 + t, y = 3t, z = 9 + t

⇒ x(t),y(t),z(t) = < 1 + t, 3t, 9 + t >

Therefore, vector equation and parametric equations for the line are;

r(t) = < 1, 0, 9 > + t< 1, 3, 1 >

x(t),y(t),z(t) = < 1 + t, 3t, 9 + t >

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3 years ago

Write 6208 in exponential form<br>

11Alexandr11 [23.1K]

Answer:

2^6 x 97

Step-by-step explanation:

In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).

The number of times that each prime divides the original integer becomes its exponent in the final result.

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3 years ago

Nancy's table of ordered pairs for the equation y=3x-5 included letting x=1. What ordered pair should she graph for this value o

Nonamiya [84]

Answer:

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Step-by-step explanation:

To find the value of x and y start with x first.

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3 years ago