Staples sells boxes of pens for ($10) and rubber bands for ($24). Leona ordered a total of 24 cartons for $210. How many boxes of each did Leona order? Hint: Let P = Pens.

Answers

Answer 1

Answer:

Leona ordered 19 boxes of pens and 5 rubber bands

Step-by-step explanation:

Let there are p pen and b rubber bands.

ATQ,

p+b = 24 ...(1)

and

10p+4b = 210 ...(2)

Multiply equation (1) by 10.

10p+10b = 240 ...(3)

Subtract equation (2) from (3).

10p+10b-(10p+4b ) = 240-210

6b = 30

b = 5

Put the value of b in equation (1).

p+5 = 24

p = 19

Hence, Leona ordered 19 boxes of pens and 5 rubber bands.


Related Questions

Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.

Answers

Answer:

[tex]1\%[/tex]

Step-by-step explanation:

Simple interest (I) = $160

Principal amount (P) = $2000

Time period (t) = 8 months

Let R denotes rate of interest.

Relation between simple interest, principal amount, time and rate of interest  is given by [tex]I=\frac{PRT}{100}[/tex]

[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]

Answer:

12

Step-by-step explanation:

It would be: r = I * 100 / P * R

r = 160.67 * 100 / 2000 * 2/3

r = 16067*3 / 4000

r = 48201 / 4000

r = 12

Kelly has a rectangular fish aquarium that
measures 18 inches, 8 inches wide and 12 inches
tall. How much water does the aquarium can
hold?

Answers

volume = 18x8x12
= 1728

If the scale factor is 5/3 what is the width of the new rectangle?

Answers

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Permutations
How many different six-letter words can be formed from the word SCHOOL?

Answers

Answer:

Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil

Explicacion:listo :)

1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet

Answers

Answer:

80 square feet

Step-by-step explanation:

I hope this helps a little bit.

Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?

Answers

Answer:

planet fitness will take one month and total fitness will take 3 months

Step-by-step explanation:

planet fitness:

75

total fitness:

25

50

75

As an assistant in pet store, one of your responsibilities is to fill the aquariums with water. One 50-gallon aquarium is 36 inches long and 16 inches wide, and is filled to a depth of 20 inches. To the nearest whole number of cubic inches, how much water do you need to fill the aquarium to that depth?

Answers

Answer:

Eleven thousand five hundred and twenty

Step-by-step explanation:

E2021

If you are going 250 miles somewhere and it cost 75 cents per mile how much money is that

Answers

Answer:

$187.50

Step-by-step explanation:

Set up an equation

250 m/$x = 1 m/$0.75

Cross multiply

250 miles × $0.75 = 1x

$187.50 = x

please help me !!! i'll give brainliest

Answers

Answer:

a. root (x^2 + 64)

Step-by-step explanation:

(8^2 + x^2) = y^2

If you root both sides,

y = root (x^2 + 64)

Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?​

Answers

Answer:

12 months

Step-by-step explanation:

2150-350=1800

1800÷150=12

pls help i don’t understand!

Answers

Answer:  111 degrees

You may need to input the number only without the "degrees".

=============================================================

Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

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

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

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

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

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

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?

Answers

Answer:

300

Step-by-step explanation:

(75*4)/1

evaluate functions from their graph g(7)

Answers

Just evaluate the functions from their graph

Answer:

Evaluate functions from their graph g(7)= 4

Step-by-step explanation:

If the point (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is on the graph, then g(a)=bg(a)=bg, left parenthesis, a, right parenthesis, equals, b.

We should look for the point on the graph whose x-coordinate is 7.

The point on the graph whose xxx-coordinate is 7 is the point (7,4)

Therefore, g(7)=4.

I don’t know how to do these I need help

Answers

k = 15 is the answer!!!!!!

1. What is the circumference of a tire with a diameter of 12 inches?

A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?

A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?

A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?

A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?

A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?

A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?

Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?

A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?

A18
B4.5
C27
D54
10. Which is true about the radius and diameter?

AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.

Answers

Answer:

1) A. 36

2) A. 10

3) B. 72

4) B. 42

5) A. 6

6) B. 90

7) C. less than

8) A. 22

9) D. 54

10) B. The diameter is two times the size of the radius.

Step-by-step explanation:

1) 12 x 3.14 = 36

2) 20/2 = 10

3) 12 x 2 x 3.14 = 72

4) 7 x 2 x 3.14 = 42

5) 36/3.14 = 12/2 = 6

6) 30 x 3.14 - 90

8) 11 x 2  =22

9) 9 x 2 x 3.14 = 54

Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

A = Amount after t years

P = Initial amount invested = £1850

r = Interest rate = 2.7%

t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

A = £1850(1 + (0.027 × 3))

A = £1999.85

Therefore, Brian will have £1999.85 after 3 years.

Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey​

Answers

Answer:

hmm

Step-by-step explanation:

Hmmmmmmmmmmmmmmmmmm

WILL MARK BRAINLIEST IF RIGHT DONT ANSWER IF U DONT KNOWWWW

Answers

Answer:

ASA

Step-by-step explanation:

Angles WXV and ZXY were proven congruent.

Angles W and Y were proven congruent.

Sides WX and XY were proven congruent.

A city that has an elevation of -17 meters is closer to sea level than a city that has an
elevation of -40 meters. Agree or disagree?

Answers

Answer:

yes agree

Step-by-step explanation:

because negative 40 is less than negative 17

I will go down on you at this point

Answers

How many t shirts does Jill want?

lillian works 7 hours each day for 5 days a week. she earns £420 each week. how much does she earn per hour?


need ASAP I will mark beainlist for correct t answer​

Answers

Answer:

Lillian gets paid $12 an hour.

Step-by-step explanation:

I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars

2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?

Answers

The feet is one hundred inches

42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58

Answers

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

Help me pleaseeeee I need this quick

Answers

Answer:

Step-by-step explanation:

Multiply?

For your batch of cookies, you'll need 2 cups of chocolate chips for every 5 cups of cookie dough mix. You have 30 cups of cookie dough mix, how many cups of chocolate chips?

Answers

2/5=x/30 so first one times by 6 and to get 12

someone please help me with this problem

Answers

Answer:

x=45

y=135

z=45

Work out the size of angle x.
105°
to

Answers

Answer:

105

Step-by-step explanation:

cuz it is corresponding angle

The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.

what can you conclude about the rain and the students commute on the bus and train?​

Answers

Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent

A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?

Answers

Answer:

A. 2a+6

Step-by-step explanation:

I did the test and this is what I got.

round 6,577 the nearest thousand

Answers

Answer: 7,000

Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up

Other Questions
HELP PLEASE PLEASE HELP, also show work! Find the slope of BG, and HL using the coordinates; B(-4, 3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel. Acquired $70,000 cash from the issue of common stock. Purchased $61,000 of inventory on account. Received goods purchased in Event 2 FOB shipping point; freight cost of $1,870 paid in cash. Sold inventory on account that cost $51,000 for $97,000. Freight cost on the goods sold in Event 4 was $1,020. The goods were shipped FOB destination. Cash was paid for the freight cost. Customer in Event 4 returned $4,540 worth of goods that had a cost of $2,320. Collected $79,540 cash from accounts receivable. Paid $56,200 cash on accounts payable. Paid $3,020 for advertising expense. Paid $4,050 cash for insurance expense. Required a. Which of these events affect period (selling and administrative) costs? Which result in product costs? If neither, label the transaction NA. b. Record each event in a horizontal statements model. The first event is recorded as an example. (In the Cash Flow column, use OA to designate operating activity, IA for investment activity, FA for financing activity, NC for net change in cash, and NA to indicate the element is not affected by the event. Enter any decreases to account balances and cash outflows with a minus sign.) Y=4x^2+14x+6 factor the polynomial what does r equal?pls help me How are defenders on a baseball team positioned ? 1. You received some draft copy for an author website that contains the following rather long sentence: Alexander McCall Smith was born in what is now Zimbabwe and was educated there and in Scotland before becoming a law professor in Scotland and later returning to Africa to help set up a new law school at the University of Botswana. Which of these four alternatives does the best job of revising the material to improve its readability without losing any of the original information or introducing any new information Part AIn the boxes provided, write three equations that can be solved tofind h, the number of hours it takes James to mow each of thethree lawns. Use h and = in each equation.Equation for Mrs. Chavez's lawn:Equation for Mr. Ortiz's lawn:Equation for Mrs. White's lawn: How do I calculate this square footage? Plz help............. Ich finde DeutschblaubkleinspannendkeinI Scenario #1You get a weekly allowance of $30 from your parents that is automatically transferred into your checking account. Tomorrow you are going to see a movie with your best friend which you often do. Your movie ticket and snacks cost $22, What is the best payment option for this scenario?Questions:Will you use cash, check, Prepaid card, Debit card, Credit card or P2P?Why did you choose that payment option?What are other possible payment decisions you can make? What is the theme for the poem "Skateboard Tims piggy bank contains nickels and quarters worth $6.70. He has 62 coins in all. How many of each coin does Tim have? Does a 700% increase in the number of prisoners (over the last 40 years in the US) sound like a lot? Why or why not? BRAINLIEST STARSFind the area of the circle if r = 5 meters. Leave the answer in terms of pi.A) A=100pi square metersB) A=25pi square metersC) A= 5pi square metersD) A=10pi square meters Which of the following choices is a figure of speech?A) an idiomB) a euphemism C) an oxymoron D) all of the choices are correct DuNO 17) Himmy Carter's speech has a verytone,Seriousdishearteningsorrowful What is the surface area for the figure? PLEASE HELP what are the different food groups?