James’ dealership pays him a commission of $500 profit on each car sold plus a flat salary of $1500 per month. Find the number of cars James sold if his total salary is $12,000 for the month.

Answer:

$1.79 per gallon, I believe.

Step-by-step explanation:

Given:

Chris has a collection of dimes and quarters worth $4.25.

To number of coins = 22

To find:

The number of quarters.

Solution:

Let x be the number of dimes and y be the number of quarters.

Total coins : [tex]x+y=22[/tex]          ...(i)

we know that, 1 dime = $0.10 and 1 quarter = $0.25.

Total value : [tex]0.10x+0.25y=4.25[/tex]      ...(ii)

Multiply equation (i) by 0.10 and subtract the result form (ii).

[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]

[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]

[tex]0.15y=2.05[/tex]

Divide both sides by 0.15.

[tex]y=\dfrac{2.05}{0.15}[/tex]

[tex]y=13.6667[/tex]

Number of quarter cannot be a decimal value.

[tex]y\approx 17[/tex]

Therefore, the number of quarter is about 17.

Answer:

10 quarts

Step-by-step explanation:

Since one, 4 quarts = 1 gallon,

he needs (2*4)+2 quarts= 10 quarts of soil

Answer:

Step-by-step explanation:

triangle ABC is an equilateral so all angles and sides are equal to each other

AB = 6

triangle DEF is an isosceles so two of its angles are equal to each other

a triangles angles add up to 180°

to find the measure of these angles we’ll write this equation:

x + x + 40 = 180

and solve for x

2x + 40 = 180

2x = 140

x = 70°

so mF is 70°

Answer:

in multiplication we just multiply

Step-by-step explanation:

3/7×1/4

3/28

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:

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

Answer:

so the answer is 8x+10y

Step-by-step explanation:

since we have to combine like terms like

3y+7y = 10y

and 6x + 2x= 8x

hope this helps!1

1 teaspoon salt is required.

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

Answer:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

Answer: X+(X-3)=21 or C

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:

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'

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

Answer:

yes

Step-by-step explanation:

To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.

To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.

The similarities is that we end up with -23 on the right side, but the inequality signs are different.

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

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.

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:

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:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

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 :)