Solve for y in terms of x. Determine if y is a function of x. If it is, rewrite using f(x) notation. If not, enter ND in the answer field.

7x-5y=2

Answer:

C) 3057.6 cm³

Step-by-step explanation:

Rectangular prism: 20x11x9=1980

Cylinder: [tex]\pi[/tex]r²h = [tex]\pi[/tex]X7x7x7=1077.57

1980+1077.57=3057.57

Answer:

a) (8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S, b) (0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

Step-by-step explanation:

Let be [tex]X[/tex] a point in the line between endpoints [tex]R[/tex] and [tex]S[/tex]. The ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is given by:

[tex]r = \frac{RX}{RS}[/tex]

Where:

[tex]RX = \sqrt{(x_{X}-x_{R})^{2}+(y_{X}-y_{R})^{2}}[/tex]

[tex]RS = \sqrt{(x_{S}-x_{R})^{2}+(y_{S}-y_{R})^{2}}[/tex]

Let be [tex]x_{R} = -4[/tex], [tex]y_{R} = 3[/tex], [tex]x_{S} = 16[/tex] and [tex]y_{S} = 18[/tex].

a) If we know that [tex]x_{X} = 8[/tex] and [tex]y_{X} = 12[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[8-(-4)]^{2}+(12-3)^{2}}[/tex]

[tex]RX = 15[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{15}{25}[/tex]

[tex]r = \frac{3}{5}[/tex]

(8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S.

b) If we know that [tex]x_{X} = 0[/tex] and [tex]y_{X} = 6[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[0-(-4)]^{2}+(6-3)^{2}}[/tex]

[tex]RX = 5[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{5}{25}[/tex]

[tex]r = \frac{1}{5}[/tex]

(0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

Answer:

You would begin to start this equation by combining like terms.

Step-by-step explanation:

To start you would first combine 2x + 3x and you get 5x. From there you would solve 5x=10. Now you would divide by 5 on both sides to get x=2.

Answer:smbhaISHBIA

Step-by-step explanation:

ahbkjbajbsx

Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35  = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

1 hour = 3 kg

27 ÷ 3 = 9 hours

hope this helps.

Answer:

Kendall: 24

Abdul: 8

Otis: 13

explanation:

24 is 3x more than 8 and 13 is 5 greater than 8

Answer: Kendall: 24 points; Abdul: 8 points; Otis: 13 points

Step-by-step explanation:

K= 3A

O= A = 5

O + A + K = 45

Answer:

[tex]\frac{ -49i − 49v }{iv}[/tex]

Step-by-step explanation:

v= −49

i= −49

Answer:

The Pool should be 10 feet wider

Step-by-step explanation:

The rectangngle shaped pool will have 4 sides...

If the Pool is 60 feet long then 120 feet should be covered by Tiles.

so only Tiles of 20 feet are left...

Hence the border will be 10 on one side and 10 on the other side

The Pool should be 10 feet wider

The rectangle-shaped pool will have 4 sides

In the case when the Pool is 60 feet long then 120 feet should be covered by Tiles.

Thus,  only Tiles of 20 feet are left...

Therefore,  

Hence the border will be 10 on one side and 10 on the other side

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Answer:

3

Step-by-step explanation:

LN = 11

x - 9 + 2x - 16 = LN add like terms

3x - 25 = 11

3x = 36

x = 12

MN = x - 9 therefore MN = 3

Answer:

im about 90% sure its 32

Step-by-step explanation:

Answer:

Leta payed $37.50

Step-by-step explanation:

50% is another way of saying half. So half of 100 is 50. She is down to $50.00 If you take another 25% off then it is $37.50. This is because 25% of 50 is 12.50. If you subtract 12.5 from 50 then you get 37.50. This is how I know it is $37.50. Hope this helps! :)

Answer:

For Lin's answer

Step-by-step explanation:

When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.

Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.

Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.

The reason is while computing the area is found to be 14 square units.

The area of Triangle = 1/2* base *  height

given:

assumed area to be 14 square units

We will take the case of Elena

In figure the base = 7 units

height = 4 units

Area of triangle

=1/2*base*height

=1/2 * 7 * 4

=7*2

=14 square units

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Answer:

1891 empty seats.

Step-by-step explanation:

for night 1: 4000- 3159= 841.

for night 2: 4000- 2950= 1050.

1050+841= 1891.

there were 1891 empty seats for the two nights.

Answer:

591.77

Step-by-step explanation:

we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77

Answer:

i would say b since its 1 placement lower

Step-by-step explanation:

Answer:

  $392.19

Step-by-step explanation:

I find it less tedious to write equations in a spreadsheet than to do the arithmetic by hand.

Morning time and afternoon time are found by subtracting the start time from the end time. Then the time for the day is found by adding the morning and afternoon shift hours.

Rounding to the nearest quarter hour can be done a couple of ways. In a spreadsheet, you multiply hours by 4, round to an integer, then divide that integer by 4 to get the rounded hours. (In a spreadsheet, hours are 1/24 of a day. When the hours:minutes are converted to decimal, you get a number of days. To make hours again, you need to multiply that by 24.)

Of course, hours are multiplied by $12.50 to get pay for all days but Sunday. For Sunday, that product is again multiplied by 1.5 for "time and a half."

The total pay is $392.19.

The line segment HI has length 3x - 5, and IJ has length x - 1.

We're told that HJ has length 7x - 27.

The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.

This means we have

7x - 27 = (3x - 5) + (x - 1)

Solve for x :

7x - 27 = (3x + x) + (-5 - 1)

7x - 27 = 4x - 6

7x - 4x = 27 - 6

3x = 21

x = 21/3

x = 7

Answer:

The answer is 1 ⅓

Step-by-step explanation:

Anything in an absolute value whether negative or positive will always end up being a positive

Answer:

True, there you go! hope it helps! Please vote Brainliest!

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

To simplify an expression means to ensure there are no parentheses and no like terms.

Answer: B

Step-by-step explanation:

The converse means X --> Y , so Y --> X.

In other terms, you just need to reverse the terms and review that it turns out correct. In answer B, it does that just right.

Answer:

It should be the second one.

Step-by-step explanation:

Converse is just switching the hypothesis and conclusion, or the "if... then..." portion of the conditional.

Answer:

The answer would be 330:)

Step-by-step explanation:

How to Find LCM by Listing Multiples :

List the multiples of each number until at least one of the multiples appears on all lists

Find the smallest number that is on all of the lists

This number is the LCM

RLY hope this helps:) If so, can I have brainliest?

Answer:

The LCM of 30 and 22 is 330

Step-by-step explanation:

22 x 15 = 330

30 x 11 = 330

Answer:

Division property of equality

Step-by-step explanation:

Answer:

I hope this picture helps tho!!

Answer:

A = 5

B = 3

C = 5

D = 3

Step-by-step explanation:

A - B = 2

• 5 - 3 = 2

A + C = 8

• 5 + 3 = 8

A + C = 10

• 5 + 5 = 10

B + D = 8

• 5 + 3 = 8

The value of a for the equation of line CD are;

Given the following data:

a) C(5, -2), D(-4, a); m = 0

To find the value of a;

Mathematically, the slope (m) of an equation of line is given by the formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the values into the formula, we have;

[tex]0 = \frac{a - [-2]}{-4 - 5}\\\\0 = \frac{a\; + \;2}{-9}[/tex]

Cross-multiplying, we have;

[tex]-9[/tex] × [tex]0[/tex] = [tex]a + 2[/tex]

[tex]a +2 = 0[/tex]

a = -2

b) C(a, -1), D(-3, 2); m = undefined

To find the value of a;

Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).

Substituting the given values into the slope formula, we have;

Undefined [tex]= \frac{2 - [-1]}{-3 - a}[/tex]

Undefined [tex]= \frac{2 + 1}{-3 - a}[/tex]

Next, we would equate the denominator to zero (0);

[tex]-3 - a = 0[/tex]

a = -3

c) C(-3, -2), D(1, a); m = 2

Substituting the values into the formula, we have;

[tex]2 = \frac{a - [-2]}{1 - [-3]}\\\\2 = \frac{a\; + \;2}{1 \;+ \;3}\\\\2 = \frac{a\; + \;2}{4}[/tex]

Cross-multiplying, we have;

[tex]4[/tex] × [tex]2[/tex] = [tex]a + 2[/tex]

[tex]a +2 = 8[/tex]

[tex]a = 8 -2[/tex]

a = 6

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Answer:

504,576,000

Step-by-step explanation:

16 years x 365 days x 24 hours x 60 minutes x 60 seconds = 504576000

Answer:

491,800!

Step-by-step explanation:

Rounding 491,778 to the nearest hundred we get 491,800 as our answer.

Given,

491,778

We need to round 491,778 to the nearest hundred.

The different place value is given below:
Example: 468975

4 - hundred thousands

6 - ten thousands

8 - thousands

9 - hundreds

7 - tens

5 - ones

Which number 491,778 is in the hundred place value.

= The number 7 in 491,778 is in the hundred place value.

Round 491.778 to its nearest hundreds.

= 491,778

Since 7 is in the hundred place value we need to round 778 to its nearest hundred.

It is either 700 or 800.

Since 778 is greater than or equal to 750.

We will round it to 800.

491,800 is our answer.

Thus rounding 491,778 to the nearest hundred we get 491,800 as our answer.

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Answer:

1200000

Step-by-step explanation:

Esun as ma