The office supply superstore sells pens for 60 cents each and
pencils for 40 cents each. Diane purchased a total of 17 items
(pens and pencils) for $8.20. How many pens did Diane
purchase?
A 5
В 7
C 10
D
12

Answers

Answer 1

Answer:

Option B.   7

Step-by-step explanation:

In order to solve this question we first have to find out what is the difference between the prices of a pen and a pencil. SO we get...

60 - 4- = 20 cents

Now if we were to assume that all 17 items were pencils then Diane would pay....

17 x 0.40 = $6.8

But then he pays 8.2-6.8 = $1.4 less than he should be.

If we substitute one pencil with a pen the total will increase by 20 cents. From here we can easily get the number of pens by doing the following...

1.4 / 0.2 = 7 pens

Therefore option B is the right answer.

Answer 2

Diane purchased 7 pens and 10 pencils.

The selling price of pens is 60 cents each ($0.6) while it is 40 cents each for pencils ($0.4).

Let x represent the number of pens bought and y represent the number of pencils.

Since a total of 17 items was bought for $8.20, hence:

x + y = 17   (1)

0.6x + 0.4y = 8.2   (2)

Solving equations 1 and 2 gives:

x = 7, y = 10

Therefore Diane purchased 7 pens and 10 pencils.

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Related Questions

Find the parallel and perpendicular equations that match

Answers

Answer:

Parallel 6 10 13 17 and perpendicular 2 8 14 16 18 I think

Step-by-step explanation:

can some one help please??

Answers

The answer is B. X=1, y=3

1. The product of 4, and a number decreased by 7, .is 100. Find the number

Answers

Answer:

32

Step-by-step explanation:

As per what is given

- the product of 4 and a number decreased by 7 (4 times that number let us call it x, minus 7)

- equals 100, the equation formed equals 100

Form an equation;

4(x - 7) = 100

Solve using inverse operations;

4(x - 7) = 100

   /4        /4

x - 7 = 25

   +7     +7

x = 32

Solve 100 ÷ 5 × 4 + 43.

Answers

Answer:

123

Step-by-step explanation:

100 ÷ 5 × 4 + 43 = 123

Answer:

123

Step-by-step explanation:

Lets use the PEMDAS method.

100 ÷ 5 × 4 + 43

(20) × 4 + 43

(80) + 43

123

Hence, the answer is 123.

The Solomon family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Derslerinde başarılar dilerim ben Türkçe biliyorum İngilizce ama ben de seni çok seviyorum 1. Derslerinde başarılar dilerim bir
4 gallons per day
12gal/3days = 4gal/1day

Ulani is constructing a triangle that has sides measuring 12 cm and 28 cm. Which measurements could be the length of the third side? Select two options

Answers

Answer:

The sides can be 38 and 24.

Step-by-step explanation:

Consider the provided information.

The given options are: a) 15, b) 24, c)38, d)41, E)53

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Here a=12 and b=28 we need to find c

The sum of 12 and 28 is 40.

So, It means the side can not be 41 and 53 as it is greater than 40.

Now let the third side is 15.

Then the sides are 12, 28  and 15

The sum of two smaller sides: 12+15=27

But 27 is less than 28.

So the side can't be 15.

Now let the third side is 24.

Then the sides are 12, 28  and 24

The sum of two smaller sides: 12+24=36

But 36 is greater than 28.

So the side can be 24.

Now let the third side is 38.

Then the sides are 12, 28 and 38

The sum of two smaller sides: 12+28=40

But 40 is greater than 38.

So the side can be 38.

Hence, the sides can be 38 and 24.

Find the measure of the arc. Please help!

Answers

Answer:

The value of mEFD = 214°

Step-by-step explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146°  = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

Answer please need answer brainliest i give you for right answer

Answers

Answer:

I belive It would be Quadant IV (d) if I did everything right sorry if I am not correct.

Please tell me if im not correct thank you.

Lily drives 90 miles in 2 hours. If she drives at the same rate, how far does lily travel in each of the following time intervals: 1 hour, 1/2 hour, and 3 hours? Please solve in at least two different ways. You could make a bar model, double number line, ratio table, or graph

How far does she drive in 3 hours

Answers

Answer:

1 hour= 45 miles

1/2 hour=22.5 miles

3 hours= 135

Step-by-step explanation:

just work out one hour by halving 90 miles which is 45. Then work out the rest by halving again and multiplying by 3.

Answer:

1st way:

90/2=45

1 hour = 45 miles

45/2=22.5

0.5 hour = 22.5 miles

45+22.5=67.5

1.5 hour = 67.5 miles

67.5x2=135

3 hours = 135 miles

2nd way:

90 miles - 2 hours

1 hour - 60 minutes

60x2=120

90/120=0.75

1 minute - 0.75 miles

0.75x60=45

1 hour = 45 miles

60:2=30

60+30=90

0.75x90=67.5

1.5 hour = 67.5 miles

60x3=180

0.75x180=135

3 hours = 135 miles

Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-9,3), (-5,7)
Line 2: (-11, 6), (-7, 2)
The slope of line 1 is
The slope of line 2 is
The two lines are

Answers

Answer:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

Yes, they are perpendicular

Step-by-step explanation:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

slope 2 = - 1/1 = - 1/slope 1

In a middle school with 200 students there are 40 % girls. 20% of the students wear glasses . It is also known that 10% of the boys wear glasses .

1-How many boys are in this school?

2-How many girls don’t wear glasses?

3-How many students are boys and wear glasses?

Answers

Answer

1;120

2;60

3;20

Step-by-step explanation:

(20 POINTS!!!)
What is the measure of
A. 60°
B. 80°
C. 110°
D. 120°

Answers

Answer:

A. 60 degrees

Step-by-step explanation:

The sum of the abgles in a triangle is 180°. We are already given 96° and 24°.

so we will subtract the given values from 180 to find the third angle

180-(96+24)=180-120=60°

The answer is A. 60°

can u answer these for me thank u. first 2 only

Answers

I think it’s r or q I’m not sure I tried pls brainlest
It’s R (happy b-day)

describe transformation y=(x+5)^2 -19

Answers

Answer:

y=x^2 +10x+6 should be the answer

Step-by-step explanation:

Rob runs at a constant pace on his treadmill.

In 3 hours, he runs 15 miles.

What is the unit rate for Rob's pace?

Answers

Answer:

B: 1 to 5

Step-by-step explanation:

3 hours is to 15 miles as 1 hour is to 5 miles (division by 3)

y = 2x-5
5x - 2y = 19
Please fast

Answers

Answer:

[tex]y = 2x - 5 - - - eqn \: (i) \\ 5x - 2y = 19 - - - eqn \: (ii) \\ substitute \: for \: y \: in \: eqn \: (ii) \: from \: eqn \: (i) \\ 5x - 2(2x - 5) = 19 \\ 5x - 4x + 10 = 19 \\ x + 10 = 19 \\ x = 19 - 10 \\ x = 9 \\ from \: eqn \: (i) \\ y = 2x - 5 \\ y = (2 \times 9) - 5 \\ y = 18 - 5 \\ y = 13[/tex]

Help me please!!!!!!!!!!!!!!!!

Answers

Answer:

C is the answer if you count 8 down, if not. sorry

Answer:

c. -3, -4 if you go 8 numbers down from point P then that's what you should get.

The first term is 8 Each term is 4 more than double the previous term.

Answers

Answer:

8*2^(n-1)

Step-by-step explanation:

This is a geometric sequence since we multiply from the previous term.

a_n = a_1 * common ratio^(n-1) where a_n is the nth number and a_1 is the first.

The first term is 8, so we have

a_n = 8*<common ratio>^(n-1) = 8*2^(n-1)

Answer:

its b and the question after that is d

Step-by-step explanation:

just did it

Greg buys apples, bananas, and kiwis from a fruit stand each week. The first week he pays $3.19 for 2 apples, 3 bananas, and 2 kiwis. The second week he pays $4.12 for 3 apples, 4 bananas, and 2 kiwis. The third week he pays $3.01 for 1 apple, 1 banana, and 4 kiwis. Choose the system of equations that can be used to solve for the number of apples,a, the number of bananas,b, and the number of kiwis,k.

Answers

Answer:

Step-by-step explanation:

2a+3b+2k= $3.19

3a+4b+2k=$4.12

1a+1b+4k=$3.01

The system of equation that can be used to solve these scenario are          2a + 3b + 2k = 3.19, 0a + 4b + 2k = 4.12 and  1a + 1b + 4k = 3.01.

What is a linear equation?

A linear equation consist of variables and constant sperated by arithmetic operations which has highest degree of 1.

We know that a system of equations is formed when we have two or more than two linear equations in two or more than two variables and a system of equations is consistent when the number of variables is equal to or less than the number of equations.

Given in this questin is 3 variables Applles(a). Bananas(b) and Kiwis(k) and we can form three equations in three variables they are,

2a + 3b + 2k = 3.19...(i)

0a + 4b + 2k = 4.12...(ii)

1a + 1b + 4k = 3.01...(iii)

We can solve this system of equation by first multiplying eqn(iii) by 2 and then subtracting it from eqn(i) to eliminate variable 'a' and then equating with eqn(ii) to eliminate variable 'b' or 'k'

learn more about linear equaion here :

https://brainly.com/question/19549073

#SPJ2

The fee for a service call from a plumber can be modeled with the function C(h)= 75 + 20h, where C is the total cost of the service call and h is the number of hours the plumber spends working on the problem. (MAFS.912.F-IF.1.2) A. How much does the plumber charge per hour? 3. What is the value of C(3)? 1. What does this represent in terms of the problem?​

Answers

Answer:

20 ; $135 ; service charge for 3 hours spent is $135

Step-by-step explanation:

Given that :

Service fee equation model :

C(h)= 75 + 20h

C = total cost of the service call

h = number of hours the plumber spends working on the problem

The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours

bx = 20h

b = 20

Charge per hour = 20

C(3) = 75 + 20(3)

75 + 60 = 135

This means that total service call charge for a plumber who spends three hours fixing a problem is $135

45 and a third divided by one sixth and then write a sentence to show work and create multiplication of number

Answers

Answer:

272

Step-by-step explanation:

45 and a third = 45 1/3

one sixth = 1/6

hence:

45 and a third divided by one sixth =

= 45 1/3 ÷ 1/6

= 136/3 ÷ 1/6

We convert to multiplication by converting 1/6 to its reciprocal which is 6/1

Hence:

= 136/3 ×6/1

= 272

Tanisha used this table to compare the number of school yearbooks purchased

Answers

Answer:

I can't see the question

Step-by-step explanation:

Help with number one please and thank youuu

Answers

The answer is to the top question is (false)

Answer:

6x-12=8x-16

6x-8x=12-16

-2x=-4

x=2

So it's TRUE

whats 45/13 in decimal form rounded to the nearest tenth

Answers

Answer:

45/13 in decimal form rounded to the nearest tenth:

[tex] \frac{45}{13} = 3.46 ≈\boxed{3.5}(approx) \\ [/tex]

Answer=3.5

Step by step: 45/13=3.5

can you help me pllllllllease?????????????????????????/

Answers

Answer:

noooooooooooooooooooooooooooo

Step-by-step explanation:

yeahhhhhhhhhhhhhhhhhhhhhhhhhhhh

The radar radius on the map
is 1000 ft. What is the
circumference of the radar?

Answers

6,283.19, since we're using 2π(radius). so if we plug it in, we have 2π times 1000. hope this helped a bit !!

A clothing store is raising the price of all its sweaters by $3.00. What is an expression that could be used to find the new price of a sweater that originally cost d dollars? *

Answers

Answer:

x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The expression would be d + 3.

You're raising $3 in every sweaters cost so d is the cost of the sweater and you add 3 to raise $3 in the price.

If a figure is dilated by a factor of 5/6, the area of the figure will change by a factor of ?​

Answers

Answer:

5/6

Step-by-step explanation:

d+4/3D = 336 what is the number of d

Answers

Answer:

12

Step-by-step explanation:

45.15 divied by 21 equal but the estimate

Answers

Answer:

The answer is 2.00.

Step-by-step explanation:

45.15 ÷ 21 = 2.15

2.15 rounded off to the nearest whole number is 2.00.

This was because you asked for an estimate.^

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