Four hundred vouchers were sold for a carwash. Vouchers to wash trucks were $4, while vouchers to wash compact cars were $3. If the total sales were $1350, how many of each type of voucher were sold?

Answer:

a. x = ½, and x = -1

Step-by-step explanation:

Given the equation, 7|12x + 3| - 1 = 62, solve as follows:

Add 1 to each side of the equation

7|12x + 3| = 62 + 1

7|12x + 3| = 63

Remove the absolute value to create ± on the right side of the equation

7(12x + 3) = ±63

Solve the positive portion of the solution

7(12x + 3) = 63

84x + 21 = 63

Subtract 21 from both sides

84x = 63 - 21

84x = 42

Divide both sides by 84

x = 42/84

x = ½

Solve the negative portion of the solution

7(12x + 3) = -63

84x + 21 = -63

Subtract 21 from each side of the equation

84x = -63 - 21

84x = -84

Divide both sides by 84

x = -84/84

x = -1

The answer is: x = ½, and x = -1

Answer:

sorry i cant see i need a better pictureStep-by-step explanation:

Answer:

They installed 2 7 .6 6 trailers altogether

Step-by-step explanation:

Given that:

A landscaper installs 12 sections of trail

he's & his partner installs 12.5 sections of Trellis

the neighbor installs $3.16 sections of Trellis.

The number of trailers they install together can be calculated by finding the summation of all the value given.

i.e

The number of trailers they install together;

        1 2 . 0 0

=    + 1 2 . 5 0

           3 . 1 6    

        2 7 .6 6

Answer:

y ^22  x ^16

hope this helps

Answer:

-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

cdfbdfbf

Answer:

"then a student earns a b"

Step-by-step explanation:

Answer:B .17

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Edg

Answer: i think its false

Answer:

[tex]3^4[/tex]

Step-by-step explanation:

There are four  3's

[tex]3\times 3\times3\times3 = 81\\\\3^4 = 81[/tex]

Answer: 3⁴

Explanation: Exponential form contains a base and an exponent.

The base is the number that is multiplied.

So in this case, 3 is the base.

Next we write the exponent which is the

number of times that the base is multiplied.

Since 3 is multiplied four times, the exponent is 4.

So in exponential form, 3 · 3 · 3 · 3 can be written as 3⁴.

Answer:

  300

Step-by-step explanation:

Fill in the given value and solve for x.

  C(x) = 500x +100000

  250000 = 500x +100000

  500 = x + 200 . . . . . . divide by 500

  300 = x

300 items were produced if the month's expenses were $250,000.

Answer:

The answer will be the fixed rental for the book

Step-by-step explanation:

The answer is -16

Hope this answeris helpful....

Hope this answeris helpful....Make me as brainliest....

Answer:

3 is an integer

Step-by-step explanation:

intergers are numbers that are not a fraction.ie a whole number.

Answer:

8 years old maybe.

Answer:

b is the correct answer

Step-by-step explanation:

Answer:

[tex]2.5 \times 10^{-5}[/tex]

Answer:

x₁ = -4

x₂ = 0.5

Step-by-step explanation:

x² + 3.5x - 2 = 0                 * 2

2x² + 7x - 4 = 0 ​

(2x + 8)(2x -1)/2 = 0

2(x + 4)(2x - 1)/2 = 0

(x + 4)(2x - 1) = 0

x + 4 = 0

x₁ = -4

2x - 1 = 0

2x = 1

x₂ = 1/2

x₂ = 0.5

Answer:

the second one I believe as they have the same shape and size

Answer:

oop

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

negative divided by positive = negative.

Answer:

b < 5

Step-by-step explanation:

-2b + 4 > -6                ⇒ subtract 4 from both sides

-2b > - 6 - 4

-2b > -10                     ⇒ divide both sides by -2, it will change inequality sign to opposite

b < 5                           ⇒ answer

Answer:

-25.17 miles per gallon.

-It costs $49.02 to fill your tank.

Step-by-step explanation:

-To find the miles per gallon, you can use a rule of three:

17.2 gallons →  433 miles

    1 gallon   →        x

x=(1*433)/17.2= 25.17

If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.

-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:

$2.85*17.2=$49.02

It costs $49.02 to fill your tank.

Answer:

40 blueberry jelly beans

Step-by-step explanation:

Let us represent blue berry beans = b

Cherry jelly beans = c

Camilla has twice as many blueberry jelly beans as cherry jelly beans.

Hence,

b = 2c .........Equation 1

After eating 10 pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans.

hence,

b - 10 = 3(c - 10)

b - 10 = 3c - 30

Collect like terms.

- 10 + 30 = 3c - b

20 = 3c - b .........Equation 2

Subtitute 2c for b in Equation 2

20 = 3c - 2c

20 = c

Hence, she had 20 cherry jelly beans.

In the question, we are asked to find how many blueberry jelly beans she had.

Hence,

b = 2c .........Equation 1

Substituting 20 for c in Equation 1

b = 2 × 20

b = 40

Therefore, she originally had 40 blueberry jelly beans

Step-by-step explanation:

Length of rectangle is 140 m and its breadth is 100 m

Perimeter = sum of all sides

For rectangle, P = 2(l+b)

P = 2(140+100)

P = 480 m

Area = length × breadth

For a rectangle, A = lb

A = 140 × 100

A = 14000 m²

We need to write the length and breadth such that it has the same perimeter but a larger area.

Let the length is 110 m and breadth is 130 m.

Perimeter, P = 2(110+130)

P = 480 m

Perimeter is same as previous

Area, A = 110 × 130

A =  14300 m²

Area is more than the initial area.

Hence, this is the required solution.

answer:

it's [tex]\boxed{L=130, \W=110}[/tex]

explanation:

[tex]\boxed{L=140}\\\boxed{W=100}\\P=2(L+W)\\P=2(140+100)\\\boxed{P=480m}\\A=L*W\\A=140*100\\\boxed{A=14000m^{2}}[/tex]

It's easy to get a Length and Width with an equal Perimeter as this rectangle, how? the key is in the Perimeter formula for rectangle, it is literally 2 times the sum of the Length and Width, so [tex]2(L+W)=2(sum)[/tex], that means we can change the value of both the Width and the Length as long as the sum of both the Length and the Width is equal;

[tex]\boxed{L=140}\\\boxed{W=100}\\L+W=140+100=\boxed{240}[/tex]

to change these values and still have a perimeter equal to 480 meters, and an area larger than 14,000 meters square, we gotta have a length and a width that have a sum of 240 and still maintain a hundred place value, for example 130 and 110, not 150 and 90, because [tex]150*90=13500[/tex] which is less than our goal; while [tex]130*110=14300[/tex], note that as long as one of the values doesn't fall below 100 you're solid.

Answer:

b=ra-2x

Step-by-step explanation:

You solve for b by simplifying both sides of the equation then isolating the variable.

C.171

Step-by-step explanation:

4×7(2)-25

4×49-25

multiply 4×49=196-25

then subtract 196-25=171

Answer:

C. 171

Step-by-step explanation:

[tex]4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\[/tex]

Answer:

[tex]New\ Lengths = (14,21)[/tex]

[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]

Step-by-step explanation:

Given

Rectangle:

Length = 2 in

Width = 3 in

Scale Factor = 7

Solving (a):

The side lengths of the new scale is calculated as follows;

New Lengths = Old Lengths * Scale Factor

[tex]New\ Lengths = (2,3) * 7[/tex]

[tex]New\ Lengths = (2 * 7,3* 7)[/tex]

[tex]New\ Lengths = (14,21)[/tex]

Solving (b): To go back to the original length

Given that the initial scale factor is 7;

The new scale factor is the reciprocal of the old factor;

Hence;

[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]

Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

Answer:

Points N and K are on a plane A and plane S ( True )

Points P and M are on a plane B and plane S

Point P is the intersection of line n and line g ( True )

Points M, P, and Q are noncollinear ( True )

Line d intersects plane A at point N.

Step-by-step explanation:

Just took the test and got it right :)

The true are 1, 3, 4 and false are 2, 5.

To choose the statement are true or false.

A surface in which if any two points are chosen a straight line joining them lies completely in that surface. A plane is a flat, two-dimensional surface that prolongs infinitely far.

Given that:

1. Points N and K are on plane A and plane S.

From  that points N and K are on the plane A and on the plane S. Thus, this option is true.

2. Points P and M are on plane B and plane S.

From points P and M are on the plane B, but point M doesn't lie on the plane S. So, this option is false.

3. Point P is the intersection of line n and line g.

Point P lies on the line n as well as on the line g, therefore it is the point of intersection of these two lines. This option is true.

4. Points M, P, and Q are noncollinear.

It is true, because points M, P and Q do not lie on the same line at one time, that means they are noncollinear.

5. Line d intersects plane A at point N.

From the line d intersects plane S at point L, not at point N, then this option is false.

Learn more about plane here:

https://brainly.com/question/17608790

#SPJ5

Diagram is missing.

This is a arithmetic sequence, so all we need to do is subtract the numbers and find the common difference.

40 - 24 = 16

56 - 40 = 16

72 - 56 = 16

Therefore, the common difference is 16.

Best of Luck!

Answer:

It is minus 16

Step-by-step explanation:

72-56= 16

56-40= 16

40-24= 16

-16 is the pattern