The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number?

x + (x + 9) = 47
x − (x + 9) = 47
x(x + 9) = 47
x(x − 9) = 47

9514 1404 393

Answer:

  1.  f = 9/a +7

  2.  x = (y -5)/3

  3.  x = 3/(y +2)

  4.  l = (P +9)/4

Step-by-step explanation:

I find it convenient to use the fact that a=b/c can be rewritten as c=b/a:

  [tex]a=\dfrac{b}{c}\qquad\text{given}\\\\ac=b\qquad\text{multiply by $c$}\\\\c=\dfrac{b}{a}\qquad\text{divide by $a$, effectively swapping $a$ and $c$}[/tex]

__

1. f - 7 = 9/a . . . . use the above shortcut

  f = 9/a +7 . . . . add 7

__

2. y -5 = 3x . . . . . subtract 5

  x = (y -5)/3 . . . . divide by 3

__

3. y +2 = 3/x . . . . add 2

  x = 3/(y +2) . . . . use the above shortcut

__

4. P +9 = 4l . . . . add 9

  l = (P +9)/4 . . . divide by 4

Answer:

7.45

Step-by-step explanation:

Answer: ahhhhhummm I think it’s 5

Step-by-step explanation:

Answer:

(1,6)

Step-by-step explanation:

First you would reflect over y=0. Whenever you reflect over y=0, the y-coordinate will be multiplied by -1, so it changes to (1,-2). (1,-2) is 4 coordinates below the line y=2, so when reflected over y=2, the coordinate will be 4 above y=2, which means that the coordinate will be (1,6)

Answer:

3%

Step-by-step explanation:

If an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.

percentage, a relative value indicating hundredth parts of any quantity.

Given that An item cost $450 before tax

The sales tax of the item is $13.50

We have to find the sales tax rate in percentage

To find the percentage we have to multiply x/100 with four hundred fifty which is equal to thirteen point five

x/100×450=13.5

4.5x=13.5

Divide both sides by 4.5

x=13.5/4.5

x=3%

Hence, if an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.

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Answer: 3:31= alligators to total animals. 16:31= turtles total animals. 12:31= snakes to total animals.

Step-by-step explanation:

3+16+12=31 the total

AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:

Step-by-step explanation:

Answer:

You can find a proportional relationship in a table by seeing if there is a pattern like 1,5 or 2,10.

Step-by-step explanation:

Answer:

16 :D

Step-by-step explanation:

4 * 4 = 16

Answer:

16

Step-by-step explanation:

4x4=16

Hope this helps.

Answer:

2700

Step-by-step explanation:

the formula is (n - 2) 180

Answer: I'm on it give me just a minute!!

9514 1404 393

Answer:

Step-by-step explanation:

1. The triangles are not similar because the ratios of side lengths are not the same:

  3 : 4 : 5 ≠ 6 : 7 : 8

__

2. We can make the ratios be the same by multiplying the side lengths by a common value, such as 2:

  3 : 4 : 5 = 6 : 8 : 10

If triangle B had side lengths of 6, 8, 10, then it would be similar to triangle A.

Answer:  To find the slope, divide the__Y__ distance between the points by the __X___ distance.

Step-by-step explanation: The formula is (Y2-Y1)/ (X2-X1)

Answer:

15) LKJ congruent YZX 16) VXW Congruent PRQ

Step-by-step explanation:

This is the answer

Answer:

D=[0, 8 214.29]

R=[0, 230 000]

Step-by-step explanation:

In order to find the domain, we must think of the least price you can give to the product you are selling. The price cannot be less than zero, since that would mean that you are giving money to the consumer for taking the product away, so zero is the smallest value p can get.

The greatest value the price can get is the one such that the quantity demanded is zero. So we need to determine that price by setting the equation equal to zero and solving for p.

230,000-28p=0

so we get

-28p=-230,000

[tex]p=\frac{-230,000}{-28}[/tex]

so

p=$8,214.29

so the restricted domain for this function would be:

[tex]0\leq p \leq 8,214.29[/tex]

or in interval notation:

D=[0, 8 214.29]

In order to find the range, we just need to determine what's the least and greatest value the function can get. Since this is a linear function, we can find them by just substituting each of the extreme values of the domain in the function, so we get:

q=230,000-28(0)=230,000

q=230,000-28(8214.29)=0

so the range would be:

[tex]0\leq q \leq 230,000[/tex]

or in interval notation:

R=[0, 230 000]

Answer:

and what are the numbers there bud

Answer:

Please show the table I cannot help with no info!

Step-by-step explanation:

Answer:

It is 533 yards

Step-by-step explanation:

SImply multiply the length and the width of the football field to get it's area. 100 times 53.3 is 533 yards.

Answer:

5,330 yards^2

Step-by-step explanation:

Area = lw        (length x width)

53.3 x 100= 5,330

Therefore, the area of the football field is 5,330 ft ^2

Answer:

$1.79 per gallon, I believe.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

1 teaspoon salt is required.

Answer:

29/4   or   7.25

Step-by-step explanation:

Complimentary angles are two angles that add up to 90

Supplementary angles are two angles that add up to 180

Angle ABC = x

Angle CBD = 7y + 4

Angle DBE = 8y + x

If we can find the measure of angle CBD, then we can find x.

We know that CBD + DBE = 180  because they are supplementary. Therefore...

(7y + 4)  +  (8y + x)  =  180

      AND

(7y + 4)  +  (x)  = 90

Now we can use algebra to solve for x and y...

Blah blah blah...

x  =  29/4

y  =  45/4

Answer:

log9

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

logx - logy = log([tex]\frac{x}{y}[/tex])

log[tex]x^{n}[/tex] ⇔ nlogx

Given

2(log18- log3) + [tex]\frac{1}{2}[/tex]log[tex]\frac{1}{16}[/tex]

= 2(log([tex]\frac{18}{3}[/tex] ) ) + log[tex](\frac{1}{16}) ^{\frac{1}{2} }[/tex]

= 2log6 + log[tex]\frac{1}{4}[/tex]

= log6² + log[tex]\frac{1}{4}[/tex]

= log36 + log[tex]\frac{1}{4}[/tex]

= log( 36 × [tex]\frac{1}{4}[/tex] )

= log9

Answer:

For Gwen:-

x + 10y = 30

x + 15y =  40       - Tristan

if we subtract the above equations:-

we get

5y = 10

y = 2

That is the cost of each ticket is $2.

Step-by-step explanation:

Answer:

Keith & Gwen Paid: y=10x+30

Tristan Paid: y=15x+40

Step-by-step explanation:

now gimmie my Ford Super Duty F-250 12'

Answer:

712

Step-by-step explanation:

[tex]4272/6= 4200/6+72/6\\4272/6= 700 +12\\4272/6=712[/tex]

Hope this helps :D

Answer:

Jenny will receive $12.51 in change.

Step-by-step explanation:

We need to find the total cost first.

19.99 + 7.50 = 27.49

We then subtract that from the 40 dollars she gave to get the amount of change she receives.

40.00 - 27.49 = 12.51.

She will receive $12.51 in change.

hope this helped!  

Jenny will receive $12.51 in change.

We have given that the Jenny bought a pair of pants for $19.99 and two shirts for $7.50.

We need to find the total cost first.

Total cost=price of pants +price of shirt

19.99 + 7.50 = 27.49

We then subtract that from the 40 dollars

She gave to get the amount of change she receives.

So we have to subtract the total cost from 40 so we get,

40.00 - 27.49 = 12.51.

She will receive $12.51 in change.

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Answer:

area=length*breadth

area=24*40

area=960sqare m

if we convert 960m to mm it will be 960000mm

final answer area=960000 square mm

Answer:

7 but not sure

Step-by-step explanation:

Answer:

1 1/12

Step-by-step explanation:

find common denominator:

3/4=9/12

2/6=4/12

add:

9/12+4/12=13/12

simply:

13/12=1 1/12

hopefully this helps :)