12. TEKS 21
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white coples, and the rest were color copies.
.
Each black-and-white copy cost $0.08.
Each color copy cost $0.15.
.
Which system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop?


Answers

Answer 1

The system or equations can be used to find b, the number of black-and-white copies,

and c, the number of color copies that the customer paid for at the print shop is

b + c = 68

b + c = 680.08b + 0.15c = 6

Given:

Total amount paid = $6.00

Total copies = 68

cost of black-and-white copy = $0.08

cost of color copy = $0.15

let

number of black-and-white copies = b

number of color copies = c

The equation:

b + c = 68

b + c = 680.08b + 0.15c = 6

Therefore, the system or equations can be used to find b, the number of black-and-white copies,

and c, the number of color copies that the customer paid for at the print shop is

b + c = 68

b + c = 680.08b + 0.15c = 6

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Related Questions

PLEASE HELP ME!!!!!


Laura earns an hourly rate of $14.50 for the first 40 hours that she works in a week. She earns one- and-a-half times her hourly rate for any hours over 10. If she earned $775.75 in one week, how many hours did she work?

a. 35.7
b. 53.5
c. 45
d. 49​

Answers

Answer:

I'm not 100% sure but I believe the answer is A

The total hours of work done by Laura is 39 hours.

What are Mathematical operators?

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given the hourly income Laura = $14.50

total hours she works in a week = 40

increase in rate after working after 10 hours is 1.5 times

the hourly rate after 10 hours = 14.50 x 1.5 = $21.75

amount earned in 10 hours = 10 x 14.5 = $145

total earning = $775.75

the amount left after reducing the amount of 10 hours = 775.75 - 145 = $630.75

$630.75 is earned in = 630.75/21.75 hours = 29 hours

total hours Laura worked = 10 + 29 = 39 hours.

Hence Laura worked 39 hours in a week.

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3.8×102+1.7×103 giving answer in standard form

Answers

Answer: 5.15 x 10^2

Step-by-step explanation:

3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2

Find the value of a
I’m decided go between 40 and 6.4

Answers

a = 10
Since the triangles are similar, you can set up a proportion using the corresponding sides and solve.
(16/8 = 20/a)
Hope this helps!

4e-4=e-4



help me plsssssssssssssssssssssss

Answers

Answer:

E= 0 Good luck answering the other questions :)

Step-by-step explanation:

Help help help help

Answers

Answer:

-1

Step-by-step explanation:

PLEASE HELP ME please please

Answers

Answer:

if its before bed time I think it is A

Step-by-step explanation:

1 1/2 - 1/2 pls helpppppppppp

Answers

Answer:

It would be 1 whole

Step-by-step explanation:

1/2 - 1/2 is 0 the only thing left is one whole

How do I subtract fractions? Please explain step by step to get marked as brainliest

Answers

Answer: Here I hope this helps!

Step-by-step explanation:

For example lets work with this fraction

 [tex]\frac{6}{5} -\frac{3}{7}[/tex]

First you need to find a common denominator. (The number at the bottom of the fraction always.)

Multiply until you get a number both denominators go into.

For this it would be 35.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

5x7=35  7x5=35

You then have to do the same to the top as you did the bottom.

So multiply your numerators (number at the top) the same number as you did to the denominator below it.

[tex]\frac{6}{5} -\frac{3}{7}[/tex]

So 6x7=42.    

And 3x5=15

You then subtract the numerators.

42-15=27

So now you have [tex]\frac{27}{35}[/tex]

[tex]\frac{6}{5} -\frac{3}{7}[/tex] =[tex]\frac{27}{35}[/tex]

Hope this helps! Have a great day!!

Simplify:

(8)214+(8)(−12)
plz help :(

Answers

the answer is
1712-96
Your welcome

Find the difference. 2/5(d-10)-2/3(d+6)

Answers

[tex]\dfrac 25(d-10) - \dfrac 23(d+6)\\\\\\=2 \left(\dfrac{d-10}5 - \dfrac{d+6}3 \right)\\\\\\=2\left[\dfrac{3(d-10) - 5(d+6)}{15}\right]\\\\\\=2 \left( \dfrac{3d-30-5d-30}{15} \right)\\\\\\=2\left(\dfrac{-2d-60}{15} \right)\\\\\\=2(-2) \left(\dfrac{d+30}{15} \right)\\\\\\=-4 \left(\dfrac{d+30}{15} \right)\\\\\\=-4\left(\dfrac d{15} +2 \right)\\\\\\=-\dfrac{4d}{15}-8[/tex]

help with this please i dont understand?

Answers

a) Evaluate the given function at each value of x. We have f(x) = 2x + 3.

• If x = -2, then

f(-2) = 2 (-2) + 3 = -4 + 3 = -1

• If x = -1, then

f(-1) = 2 (-1) + 3 = -2 + 3 = 1

• If x = 0, then

f(0) = 2 (0) + 3 = 0 + 3 = 3

and so on.

b) Kind of a silly question. Of course f(x) is a function, the instructions for part (a) say so!

But the real reason f(x) is indeed a function is that no single value of x returns more than one value of f(x).

You go to a restaurant and get a bill for $95. You need to tip the waitress. The service was good so you decide on tipping the waitress 20%. What is the tip that the waitress will receive

Answers

Answer:

19 dollars.

Step-by-step explanation:

0.20 x $95.00=$19.00.

19 dollars because 20% of 95 is 19. You can find this by doing 20% (or 0.2) times 95 :)

Can you simplify these two?
5 points for each.

Answers

Answer:

See attached files.

The answers are there.

4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that each
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
TS
b. The oldest leatherback sea turtle in captivity is 33 years old.
c. American bison are never over 6 feet tall.

Answers

Answer:

Step-by-step explanation:

1. In some zoos the are more elephants than giraffes, then this conjecture can be true sometimes, however, this can not always be true because some zoo could have more giraffes

2. This can be true unless that turtle ages, or another is found that is taken into captivi9ty and found to be older

3. While most American bison are usaually below 6 feet, that is no gureantee there is no occasaional taller American Bison.

I do not know if these meet your teacher's starndard, but I hope they do. Please thanks and rate!

67*25 helpppp pleaseeee

Answers

Answer:

1675

Step-by-step explanation:

do people not have calculators?

a jar has 654 jelly beans emily says the jar has 710 jelly beans, Find the percent error of emily's estimate

Answers

Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

8.56%

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

710 - 654 = 56

Find the percent error, which is the error over the actual:

56/654*100% = 8.56%

A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for more than a year. Product 2 had 150 out of 200 last for more than a year. If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning
30 POINTS GIVE GOOD ANSWER

Answers

Answer:

product one; it has a higher success rate

Step-by-step explanation:

to find out which has a higher rate of success we can find out their percentage of success

we can divide their success amounts by test amounts

950 / 1000 = 95/100 = 95%

150/200 = 75/100 = 75%

product 1 has a higher success rate

The product is more likely to last is mathematically given as

Product 1

What product is more likely to last?

Question Parameter(s):

Product 1 had 950 out of 1,000 test

Product 2 had 150 out of 200 test

Generally, the equation for the  percentage success  is mathematically given as

Product 1  950 / 1000 = 95/100 x 100 = 95%

Product 2  150/200 = 75/100 x 100 = 75%

In conclusion, the product is more likely to last is

Product 1

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The table shows the proof of the relationship between the slopes of two parallel lines. What is the missing reason for step 2?

A.
Pythagorean theorem
B.
application of the distance formula
C.
application of the slope formula
D.
transitive property

Answers

B. application of the distance formula

The missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

As we know,

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

From the graph of two parallel lines:

r ║ s

The slope is the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Thus, the missing reason for step 2 is the application of the slope formula option (C) application of the slope formula is correct.

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Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

Answer:

x-intercept: 4

y-intercept: -4

Step-by-step explanation:

Hope this helps. Plz give brainliest! Also, plz sub to kgirl633 on yt!

The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?

Answers

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?

4. Reasoning Suppose △ABC ∼△TUV. Determine whether each pair of measures is equal.
a. the measures of ∠A and ∠T
b. the perimeters of the two triangles
c. the ratios of the sides BC/UV and AC/TV

5. Reasoning ＀e scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.

Answers

Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.

(3) Corresponding sides of △MNP and △RST

Given that △MNP ∼△RST.

This means that, the corresponding sides are:

MN and RSMP and RTNP and ST

(4) The equal measures

Given that △ABC ∼△TUV

This means that, the corresponding angles are equal, but corresponding sides are not.

So, the equal measures are:

(a). the measures of ∠A and ∠T (c). the ratios of the sides BC/UV and AC/TV

The unequal measure is:

(b). the perimeters of the two triangles

(c) Scale mapping

The scale mapping is given as:

[tex]Ratio = 1\ in : 100\ mi[/tex]

The above scale means that 1 inches on the scale represents 100 miles of the actual distance.

Take for instance, 5 inches would represent 500 miles.

500 is 5 times 100

Hence, the actual distance between two towns 100 times the map distance between the two towns

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x - y = -4
-5 + 6y = 22

The answer is (-2,2) but i just need to show the work for it so please help with that.

Answers

Answer:

(-2, 2).

Step-by-step explanation:

  x - y = -4

-5x + 6y = 22    Multiply the first equation by 5:

5x - 5y = -20    Now  Add the last 2 equations:

y = 2.

Substitute y = 2 in the first equation:

x - 2 = -4

x = -4 + 2

x = -2.

Answer:

x=1/2, y=9/2. (1/2, 9/2).

Step-by-step explanation:

x-y=-4

-5+6y=22

--------------

y=x-(-4)

y=x+4

-5+6(x+4)=22

-5+6x+24=22

6x+24-5=22

6x+19=22

6x=22-19

6x=3

x=3/6

x=1/2

y=1/2+4=1/2+8/2=9/2.

The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges.

Private colleges: 52.8, 43.2, 45.0, 33.3, 44.0, 30.6, 45.8, 37.8, 50.5, 42.0.
Public colleges: 20.3, 22.0, 28.2, 15.6, 24.1, 28.5, 22.8, 25.8, 18.5, 25.6, 14.4, 21.8.

Required:
a. Based on your computation of the two sample means and the two sample standard deviations, find the degrees of freedom.
b. What is the point estimate of the difference between the two population means?
c. Develop a 95% confidence interval of the difference between the annual cost of attending private and pubic colleges.

Answers

If you add 5 x 7 the answer should be 35 but if you play Baldi’s basics you might get far the answer is in the riddle I say u might be plummeting to earth with this riddle but add a+b= 60 so a x b that’s up to you to find out % I give you a hint it’s it the thousands place

Please help me solve this

Answers

Answer:

Solve what?

Step-by-step explanation:

You didn't put the question.

A man buys an article for $600 and sells it for $710. what is his profit or loss

Answers

Answer:

Profit of $110

Step-by-step explanation:

$710-$600=$110

How would the model and answer in the example problem change if Felicia lives 7/10 miles from the soccer field??? ​

Answers

Step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

Answer:

what the

Step-by-step explanation:

It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?

Answers

Answer : 12 games

Step - by - step explanation :

In - order to find out how many games it will take Erika to get 45 points we need to find out how many points she normally gets in 1 game . . .

What is 30 divided by 8 ? 3.75 ( So Erika gets 3.75 points per game ! )

What is 45 divided by 3.75 ? 12 ( So Erika had to play 12 games in - order to get 45 points ! )

I need help plz.....

Answers

Answer:

  (c)  y^2/16 -(x -7)^2/9 = 1

Step-by-step explanation:

The center, focus, and vertex are on a vertical line, so the hyperbola opens in the direction of the y-axis. The y-term will have the positive coefficient.

The vertex-center distance in the y-direction is 4, so the denominator of the y-term is 4^2 = 16. The denominator of the x-term is 5^2 -16 = 9, where 5 is the center-focus distance.

The equation is ...

  y^2/16 -(x -7)^2/9 = 1

I know you’re supposed to change the bounds and break up the integral, but for some reason, I can’t get the 44/3. Can someone explain how to solve this definite integral?

Answers

First, look for the zeroes of the integrand in the interval [0, 6] :

x² - 6x + 8 = (x - 4) (x - 2) = 0   ⇒   x = 2   and   x = 4

Next, split up [0, 6] into sub-intervals starting at the zeroes we found. Then check the sign of x² - 6x + 8 for some test points in each sub-interval.

• For x in (0, 2), take x = 1. Then

x² - 6x + 8 = 1² - 6•1 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

• For x in (2, 4), take x = 3. Then

x² - 6x + 8 = 3² - 6•3 + 8 = -1 < 0

so x² - 6x + 8 < 0 over this sub-interval.

• For x in (4, 6), take x = 5. Then

x² - 6x + 8 = 5² - 6•5 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

Next, recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{for }x \ge0 \\ -x & \text{for }x < 0\end{cases}[/tex]

Then from our previous analysis, this definition tells us that

[tex]|x^2 - 6x + 8| = \begin{cases}x^2 - 6x + 8 & \text{for }0<x<2 \text{ or } 4<x<6 \\ - (x^2-6x+8) & \text{for }2<x<4\end{cases}[/tex]

So, in the integral, we have

[tex]\displaystyle \int_0^6 |x^2-6x+8| \, dx = \left\{\int_0^2 - \int_2^4 + \int_4^6\right\} (x^2 - 6x + 8) \, dx[/tex]

Then

[tex]\displaystyle \int_0^2 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_0^2 = \frac{20}3 - 0 = \frac{20}3[/tex]

[tex]\displaystyle \int_2^4 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_2^4 = \frac{16}3 - \frac{20}3 = -\frac43[/tex]

[tex]\displaystyle \int_4^6 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_4^6 = 12 - \frac{16}3 = \frac{20}3[/tex]

and the overall integral would be

20/3 - (-4/3) + 20/3 = 44/3

An angle measures 157.2° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Two supplementary angles equal 180 degrees

Subtract the difference from 180:

180-157.2 = 22.8

Divide by 2:

22.8 /2 = 11.4

One angle is 11.4

Now add the difference to 11.4

11.4 + 157.2 = 168.6

The second angle is 168.6

Answer: 11.4 and 168.6

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