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3 years ago

there are 486 books in the classroon library. Complete the chart to show 486 rounded to the nearest 10 hundreds tens ones

Mathematics

1 answer:

dalvyx [7]3 years ago

6 0

. -tu i....-.ru -.......

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36 – 5x = 7x +48 Which value of x makes the equation true? A. -6 B. -1 C. 1 D. 7

olga2289 [7]

Answer:

x = -1

Step-by-step explanation:

subtract 36 from both sides

36 - 5x - 36 = 7x + 48 - 36

simplify

-5x = 7x + 12

subtract 7x from both sides

-5x - 7x = 7x + 12 - 7x

simplify

-12x = 12

divide both sides by -12

-12x/-12 = 12/-12

simplify

x = -1

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3 years ago

Karen has 3 quarts of apple juice. To equally pour 32 cups of apple juice for her preschool class she needs 2 gallons of apple j

Lynna [10]

1 gallon = 4 quarts.

2 gallons = 4 x2 = 8 quarts

She needs 8 quarts total and has 3 quarts.

8-3 = 5

She needs 5 more quarts.

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3 years ago

What is the vertex of y = |x + 1| - 6 ?

bogdanovich [222]

(-1,-6)

Rewrite in vertex form then use this to find the vertex (opposite of h , K)

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3 years ago

A 13.5-gasoline tank is 4 / 5 full how many gallons will it take to fill the tank

Sedbober [7]

2.7 gallons to fill the tank

8 0

3 years ago

Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

The question is

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago