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3 years ago

The table shows equivalent ratios. Find the missing numbers in the table.

Mathematics

1 answer:

Lesechka [4]3 years ago

6 0

Answer:

(2,8) and (8,32)

Step-by-step explanation:

ratios can be written as x:y or x/y

so look at what is given

(4,16)....4/16 reduces to 1/4

(6,24)...6/24 reduces to 1/4

so the pattern is ur either dividing y by 4 and getting x....or ur multiplying x by 4 and getting y

and since ur other 2 points given dont have y, we will multiply x by 4 to get y.

(2,y).....lets multiply x, which is 2, by 4......2 * 4 = 8

so ur point is (2,8)

(8,y).....multiply x, which is 8, by 4.....8 * 4 = 32

so ur point is (8,32)

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8090 [49]

Answer:The first method, by substituting 5 into the expression (-2)x + 6 gives the coreect answer of -4

Step-by-step explanation:

Ist method

Substituting x = 5 into the expression (-2)x + 6, we have

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2nd method

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3 years ago

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3 years ago

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The dimensions of a rectangle box are consecutive integers. If the box has volume of 13,800 cubic centimeters, what are its dime

klasskru [66]

Three consecutive integers are x, x+1, x+2.
The volume of a rectangular box is the product of its three dimensions. The volume is 138000 cm³.

$x(x+1)(x+2)=13800 \\
(x^2+x)(x+2)=13800 \\
x^3+2x^2+x^2+2x=13800 \\
x^3+3x^2+2x-13800=0 \\
x^3-23x^2+26x^2-598x+600x-13800=0 \\
x^2(x-23)+26x(x-23)+600(x-23)=0 \\
(x^2+26x+600)(x-23)=0 \\ 
x^2+26x+600=0 \ \lor \ x-23=0 \\ \\
1. \\
x^2+26x+600=0 \\ \\
a=1 \\ b=26 \\ c=600 \\ \Delta=b^2-4ac=26^2-4 \times 1 \times 600=676-2400=-1724 \\
\hbox{the discriminant is less than 0 so there are no real solutions} \\ \\
2. \\
x-23=0 \\
x=23 \\ \\
x+1=23+1 =24 \\ \\
x+2=23+2=25$

The dimensions of the box are 23 cm x 24 cm x 25 cm.

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3 years ago

A cyclist rides her bike at a rate of 15 miles per hour. What is this rate in kilometers per hour? How many kilometers will the

zubka84 [21]

Answer:

The cyclist will have traveled 72 kilometers with-in 3 hours.

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3 years ago