For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
a. yes; y = 2x
b. yes; y = 4x
c. yes; y = 8x
d. no; y does not vary directly with x

Answer: x = 29.

Step-by-step explanation: Step 1: Simplify both sides of the equation.

x−6=23

Step 2: Add 6 to both sides.

x−6+6=23+6

x=29

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Answer:

(2,0)

Step-by-step explanation:

7 - 3 = 4

4 / 2 = 2

x = 2

5 - 5 = 0

y = 0

Answer:

(2,0)

Step-by-step explanation:

Midpoint = ((x1+x2)/2 , (y1+y2)/2)

=( (-3+7)/2, (5-5)/2)

= (4/2, 0/2)

= (2,0)

Answer:

[tex]\frac{13}{12}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:   a is 4

j is 3

g is 1

Step-by-step explanation:

Answer:

A) (-4,-4) J) (0,-3) G) (3,0)

Step-by-step explanation:

Since we know the equation for a 180 clockwise rotation is (x,y) —> (-x,-y) we simply just make all coordinates negative. (except for zero ofc)

Answer:

81.82%

Step-by-step explanation:

Step 1: We make the assumption that 33 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=33$100%=33.

Step 4: In the same vein, $x\%=27$x%=27.

Step 5: This gives us a pair of simple equations:

$100\%=33(1)$100%=33(1).

$x\%=27(2)$x%=27(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{33}{27}$100%x%=3327

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{27}{33}$x%100%=2733

$\Rightarrow x=81.82\%$⇒x=81.82%

Therefore, $27$27 is $81.82\%$81.82% of $33$33.

Answer:

85 girls and 140 boys

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

2v+27=75

2v=75 - 27

2v=48

v= 24 visits

So, she needs 24 visits

The best estimate of the total cost of paying for these five items will be $170. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Troy needs to buy a rod, reel, lures, line, and a license to go fishing.

The sporting goods store has a rod for $67, a reel for $42, a lure for $8 and a line for $11.

The license will cost $38.

Then the best estimate of the total cost of paying for these five items will be

⇒ 67 + 42 + 8 + 11 + 38

⇒ $166

Round each cost to the nearest 10. Then we have

⇒ $ 170

Then the correct option is C.

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Answer: The last one, I would suppose.

Answer:

200 pine trees will be planted

Answer:

[tex]\boxed{-\frac{7}{12} }[/tex]

Step-by-step explanation:

[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]

→ Make both denominators the same

[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}[/tex]

→ Convert mixed number into improper fraction

[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}[/tex]

→ Do the -16 + 9 and leave 12 as the denominator

[tex]-1\frac{1}{3} +\frac{3}{4}=-1\frac{4}{12} +\frac{9}{12}=-\frac{16}{12} +\frac{9}{12}=-\frac{7}{12}[/tex]

The required simplification o f[tex]-1\frac{1}{3} +\frac{3}{4}[/tex] into fraction form  is -1 / 12

To simplify -1 1 / 3 plus 3 / 4 into fraction form.

The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.

Fraction is defined as the number of compositions constituting the Whole. And it is represented as a / b, where a = numerator and b = denominator.

Since the given problem is
[tex]-1\frac{1}{3} +\frac{3}{4}[/tex]

We need to simplified it into fraction form like a / b.

[tex]=-1\frac{1}{3}+\frac{3}{4} \\= -2/3 + 3/4[/tex]
=  ( -8 + 9 ) / 12
= -1 / 12

Thus, The required simplification of  [tex]-1\frac{1}{3} +\frac{3}{4}[/tex]  into fraction form is -1 / 12.

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Answer:

is the answer division ???

Answer:

18=q+d   &    2.85=.25q+.10d

Answer:

a=2

b = -2

c= -7

d= 6

e= 6

f= 7

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Total 108 chips were in the both bags.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

10% of chips in the first bag is 6.

To find the total chips in the first bag:

6 = 10 x total number of chips in the first bag / 100

total number of chips in the first bag = 600/10

total number of chips in the first bag  = 60

25% of chips in the second bag is 12.

To find the total chips in the second bag:

12 = 25x total number of chips in the second bag / 100

total number of chips in the second bag = 1200/25

total number of chips in the second bag  = 48

Now, total chips in the both bags = 60 + 48 = 108

Therefore, total 108 chips were in the both bags.

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Answer:

h< −7/4

Step-by-step explanation:

Answer:

h<−7/4

Step-by-step explanation:

−4h−3>4

Step 1: Add 3 to both sides.

−4h−3+3>4+3

−4h>7

Step 2: Divide both sides by -4.

−4h / −4 > 7 / −4

h< −7 /4

Answer: See explanation

Step-by-step explanation:

You didn't say what you'll like to calculate but let me help out.

Fourth year = 129 project.

Tenth year = 207 projects

We can form this into an arithmetic progression

Tn = a + (n-1)d

4th year = a + 3d = 129 ........ i

10th year = a + 9d = 207 ....... ii

Subtract equation i from equation ii

6d = 78

d = 78/6 = 13

This means that 13 new projects are added every year

For the first year, the number of projects done was:.

a + 3d = 129

a + 3(13) = 129

a + 39 = 129

a = 129 - 39 = 90

She worked on 90 projects in the first year.

Answer:

x = 3

Step-by-step explanation:

-5(3x -7) + 11 = 1

Distribute 5:

-15x + 35 + 11 = 1

Combine like terms:

-15x + 46 = 1

Subtract by 46 =

-15x = 1 - 46

-15x = -45

Divide by -15:

x = -45 / -15

x = 3

Answer:

x=3

Step-by-step explanation:

Use the distributive property to multiply −5 by 3x−7.

−5(3x−7)+11=1

Add 35 and 11 to get 46.

−15x+35+11=1

Subtract 46 from both sides.

−15x+46=1        

Subtract 46 from 1 to get −45.

−15x=1−46

Divide both sides by −15 and you get x=3.

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Answer:

Jamey can answer 9 more questions.

Step-by-step explanation:

57-48= 9

Answer: 1:3

Step-by-step explanation:

2 Days = 48 hours

16 : 48 hours

1:3

Answer:

1:3

Step-by-step explanation:

16 hours:2 days

2 days = 48 hours

16:48

48/16=3

1:3

Answer:

90%

Step-by-step explanation:

Number of beings that preferred dubble juice to all the other juices = 36

Number of beings surveyed = x

The percentage of people that preferred dubble juice is calculated as:

(Number of beings who preferred dubble juice/Total number of beings surveyed) × 100

36/40 × 100

= 90%

90% of beings preferred dubble juice.

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since we can see that [tex](5^{\frac{3}{4} } )^{\frac{2}{3} }[/tex] has a parentheses, the exponents are being multiplied by each other.. To find their product, just multiply across..

3*2 = 6/4*3 = 12. So we have 6/12 which can be simplified to just 1/2.

So now we have [tex]5^{\frac{1}{2} }[/tex] which is equal to [tex]\sqrt{5}[/tex]..

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = [tex]\frac{h}{w}[/tex]

Since, total number of hours worked in a week = 20

Equation will be,

20 = [tex]\frac{h}{w}[/tex]

h = 20w

Part (B).

Per hour earning of Hector = [tex]\frac{\text{Total earning}}{\text{Number of hours worked}}=\frac{210}{20}[/tex]

[tex]\frac{m}{h}=10.5[/tex]

m = 10.5h

Answer:

y:))))))))))))))))))))

Answer:

5y=5(4/5x+2)

Simplify

5(4/5x+2)

Answer:

And you bring a smile, upon every golden flower.

    ~ Isimpfortnpu

Answer:

y = x 3+ 216

Step-by-step explanation:

Answer:C 6x-18

Step-by-step explanation:

3 times 2 equals 6 and 3 times -6 will give you -18

Answer:

The solution is C) 6x-18

Step-by-step explanation:

3(2x-6)

(we multiply between 3 and in brackets)

3×2x = 6x

3×(-6) = -18

if we combine, then the arrangement is like this:

6x-18

Answer:

2254

Step-by-step explanation: