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rosijanka [135]

3 years ago

15

The students who run the school store ordered 1440 pencils. They are putting them in packages of 6 pencils. About how many packa

ges can they make? Will the exact answer be more or less than the estimate? Explain

1 answer:

chubhunter [2.5K]3 years ago

7 0

Well I don't get what the other parts of the question is asking, but they can make 240 packs of pencils.

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Help please and explain

tresset_1 [31]

Answer:

30 ft

Step-by-step explanation:

We can use ratios

3 6

------ = ------------

15 x

Using cross products

3x = 6*15

Divide each side by 3

3x/3 = 6*15/3

x = 30

5 0

3 years ago

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

8 0

2 years ago

Evaluate the following expression.<br><br> (-3)-2

natta225 [31]

-5 is your answer :))))

4 0

3 years ago

What is the first step in determining if 6 is a solution to 3 x = 18?

andreev551 [17]

Answer:

Step-by-step explanation:I think it's C :)

6 0

3 years ago

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Will be mark trusted

Tanya [424]

<em><u>Answer:</u></em>

<h2><em><u>A is the answer.</u></em></h2>

Step-by-step explanation:

The commutative property changes the numbers in the equation they give. This is very different from identity, distibutive(needs parenthesis), or associative properties.

7 0

3 years ago

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