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3 years ago

Solve for X: 2 ( × - 3 ) = 1.2-x

2 answers:

8 0

When solving an equation, you must do the same thing to both sides or else it won't be equal

when dealing with one unknown (x) try to get the unknown on one side

2(x-3)=1.2-x
distribute or multiply 2 by x then -3

so (2 times x)+(2 times -3[remember negative times positive=negative])
2x-6=1.2-x
add 6 to both sides
2x=7.2-x
add x to both sides
3x=7.2
divide both sides by 3
x=2.4

GuDViN [60]3 years ago

7 0

2(x-3) = 1.2-x
2x-6 = 1.2-x
2x+x = 1.2+6
3x = 7.2
3x/3 = 7.2/3
x = 2.4

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The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a len

Ghella [55]

<u>Answer:</u>

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

<u>Solution:</u>

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get

$\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}$ ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get

$l_{1} = 97.5 \text { and } n_{1} = 65$

Similarly, for a chain with 14 paper clips with length to be found, we get

$n_{2}=14 \text { and } l_{2} = ?$

Now by using eqn 1, we can calculate the length of 14 paper clips is,

$\frac{97.5}{65}=\frac{l_{2}}{14}$

Rearranging the terms we get,

$l_{2 }= \frac{97.5 \times 14}{65}$

$l_{2}=21 \text { inches }$

Hence the length of chain with 14 paper clips is 21 inches.

3 0

3 years ago

Sid brought $200 to the amusement park . the cost of admission is $16.25 , and the cost of a lunch is $6.50 . After Sid purchase

ra1l [238]

Let x represent the # of people in sid’s group: 200 - (16.25x + 6.50x) = 18.25
200 - 22.75x = 18.25
-22.75x = -181.75
x = about 8

if Sid is not included in the group, i think the answer is D. 7, but im not sure

5 0

2 years ago

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p

ArbitrLikvidat [17]

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

$p = \frac{k}{q^2}$

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

$p = \frac{k}{q^2}$

$25 = \frac{k}{3^2}$

$k = 25*9 = 225$

$p = \frac{225}{q^2}$

Determine p when q is equal to 5.

$p = \frac{225}{q^2} = \frac{225}{5^2} = 9$

p = 9 when q = 5.

6 0

2 years ago

Which equation represents a line which is parallel to the line 7y - 4x = -14?

iVinArrow [24]

Answer: Any line with a slope of 4/7 and a y-intercept that is NOT -2

You should first turn the equation into y intercept form:
7y - 4x = -14; Add 4x from both sides
7y = 4x - 14; divide 7 from both sides
y = 4/7x - 2

Since you did not include choices, the answer will be the line with the slope 4/7 and without the y-intercept -2, because lines that are parallel will always have the same slope.

Example Answers: y = 4/7x + 2, y= 4/7x - 4
y = 4/7x + 10

4 0

2 years ago

Find the total surface area, leave your terms in pi.

Ilya [14]

Answer:

75.39822

Step-by-step explanation:

5 0

3 years ago