A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $115 (without tax) and that the calculator cost $20 more than four times the cost of the textbook. What was the cost of each item? Let x= the cost of a calculator and y= the cost of the textbook. The corresponding modeling system is {x+y=115x=4y+20. Solve the system by using the method of substitution.

Answers

Answer 1

Answer:

X=$96

Y=$19

Step-by-step explanation:

x=4y+20

X+Y=$115

4Y+20+Y=$115

5Y+20=$115

-20 -20

5Y=$95

/5 /5

Y=$19

X=4 x $19 + $20

X=$76+$20

X=$96

Answer 2

In linear equation,  cost of calculator = $96 , cost of textbook = $19 is the   cost  of each item .

What are instances of linear equations?

Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.

let cost of calculator = x

cost of textbook = y

x=4y+20  .................(1)

X+Y= 115  .................(2)

put value of equation 1 in 2

4Y+20+Y= 115

5Y+20= 115

5Y = 115 - 20

5Y =  95

Y = 95/5

Y = 19

Put value of y in equation 1

X=4 x 19 + 20

X= 76+ 20

X= 96

cost of calculator = 96

cost of textbook = 19

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Related Questions

SOMEONE HELP ME WITH THISS

Answers

Answer:

/_ 12 is the angle of depression from the firefighter to the second story window.

Step-by-step explanation:

Hope it helps!

#CarryOnLearning

Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex] \angle 12[/tex] is the angle of depression from the second story window to the firefighter.

am i correct if not pelase hep

Answers

Answer:

Step-by-step explanation:

12 feet

A customer satisfaction analyst wants to sample owners of a certain type of car to estimate what proportion of all owners are satisfied with that car. They will use the sample data to construct a one-sample z zz interval for the proportion, and they are considering two sample sizes: a large sample of n = 800 n=800n, equals, 800 for more accurate results, or a small sample of n = 200 n=200n, equals, 200 to save time and money. Assuming the sample proportion is the same in each sample, what is true about the margins of error from these two samples?

Answers

Answer: 1/2

Step-by-step explanation:

This is straight from Khan

ample size and margin of error

In a one-sample

z

zz interval for a proportion, the

margin of error

margin of errorstart text, start color #11accd, m, a, r, g, i, n, space, o, f, space, e, r, r, o, r, end color #11accd, end text is how far our interval extends above and below the sample proportion:

(

statistic

)

±

(

margin of error

)

p

^

±

z

p

^

(

1

p

^

)

n

 

(statistic)

p

^

 

±(margin of error)

±z

 

n

p

^

(1−

p

^

)

Since the sample size

n

nn is in the denominator, increasing the sample size will lead to a smaller margin of error.

Hint #22 / 3

Comparing sizes of margins of error

Let's look at each margin of error in terms of its sample size.

Smaller sample,

n

=

200

n=200n, equals, 200:

=

z

p

^

(

1

p

^

)

200

error

margin of

=z

 

200

p

^

(1−

p

^

)

start text, e, r, r, o, r, end text, start superscript, start text, m, a, r, g, i, n, space, o, f, end text, end superscript, equals, z, start superscript, times, end superscript, square root of, start fraction, p, with, hat, on top, left parenthesis, 1, minus, p, with, hat, on top, right parenthesis, divided by, 200, end fraction, end square root

Larger sample,

n

=

800

n=800n, equals, 800:

=

z

p

^

(

1

p

^

)

800

=

z

p

^

(

1

p

^

)

4

200

=

z

1

4

p

^

(

1

p

^

)

200

=

1

2

z

p

^

(

1

p

^

)

200

 

error

margin of

 

=z

 

800

p

^

(1−

p

^

)

=z

 

4⋅200

p

^

(1−

p

^

)

=z

 

4

1

200

p

^

(1−

p

^

)

=

2

1

⋅z

 

200

p

^

(1−

p

^

)

Even though

800

800800 is

4

44 times larger than the smaller sample, the margin of error from the larger sample is

1

2

2

1

start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.

Equivalently, the margin of error from the smaller sample is

2

22 times the margin of error from the larger sample.

Hint #33 / 3

Answer

The margin of error from the larger sample will be

1

2

2

1

start fraction, 1, divided by, 2, end fraction the margin of error from the smaller sample.

Answer:

1/2

Step-by-step explanation:

what is the fornula for find arithemetic ewuation​

Answers

Answer:

a_{n} = a_{1} + (n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.

Can someone pls help me

Answers

Answer:

50.3 is the circumference

Step-by-step explanation:

Answer:

circumference = 50.2 in

Step-by-step explanation:

circumference = 2rπ

circumference = 8 x 2 x 3.14 = 50.24 in

A triangle has an area that is 125 m2. The measure of the base is 20 m so, h = ? m.

Answers

Answer:

12.5

Step-by-step explanation:

12.5 multiplied by 20 is 250 which you divide by 2 to get the area. it plugs in to the triangle area formula which is 1/2 base times height.

Answer:

Hello! answer: h = 12.5

Step-by-step explanation:

H = 12.5 because 12.5 x 20 = 250 then we divide by 2 and get our area 125. so h = 12.5

Which situation CANNOT be represented by this equation? −13+15=9

Answers

Answer:

If you can please edit the question and give us the situation choices, we can help. (Answering this to hold my spot so some scammer doesn't answer). You can also comment them.

Help please. Need answers asap.

Answers

Answer:

a) 3

b) 30

c)48.8

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For the following system, use the second equation to make a substitution for y in the first equation.
3x+y= 2
y+ 4 = 3x

Answers

Answer:

try mathpappa.com I love it so good.

Select the correct answer. Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on the surface area of the pyramid? A. The surface area of the pyramid is multiplied by 10. B. The surface area of the pyramid is multiplied by 50. C. The surface area of the pyramid is multiplied by 100. D. The surface area of the pyramid is multiplied by 1,000. E. The effect on the surface area cannot be determined.

Answers

Answer:

C. The surface area of the pyramid is multiplied by 100

Step-by-step explanation:

The area is the function of the two dimensions.

If each dimension has changed by 10 times, the the area will change by:

10*10 = 100 times

Correct choice is C

Recall the relationship Between side and area

a/b=a²/b²

So

If it's multiplied by 10

The area increases by

10²100times

Which expression is equivalent to..

Answers

the correct answes would be a as shown in the picture above

The land area of Charlotte, NC is approximately 3 x 102 square miles. There are 6.4 x 102 square acres in a square mile. How many
square acres are in the city of Charlotte?
A 1.92 x 105 square acres
B. 2.13 X 104 square acres
C 4.7 x 105 square acres
D 9.4 x 104 square acres

Answers

Answer:

2.13 X 104 square acres

Step-by-step explanation:

Divide 6.4 acres by 3 miles = factor of 2.13

Therefore the answer must be 2.13 X 104 square acres

A coin is flipped 20 times. It lands on heads 11 times and tails 9 times. What is the theoretical probability that you will flip heads? Please show your work.

Answers

Answer:

11/20

Step-by-step explanation:

probability-- number of favourable outcome/ number of total outcome

probability--11/20

Carl can do a particular job in 4 hours. It takes Mike 7 hours to do the same job. Approximately how long will it take them to do the same job working together?​

Answers

Answer:

28/11hr or about three hr

Step-by-step explanation

1/4+1/7=11/28

or 28/11 hr

Answer:

2 hours and 32.7 minutes. This is a good problem to become familiar with. It comes up in physics quite frequently.

Step-by-step explanation:

1 job/4 hours + 1 job / 7 hours = 1/x

1/4 + 1/7 = 1/x

(7 + 4)/28 = 1/x

11/28 = 1/x

x / 1 = 28/11

x = 2.54 hours repeating.

1 hour = 60 minutes

0.54 hours = x minutes

1/.54 = 60/x

x = 0.54 * 60

x = 32.7 minutes

Brian has 2 fish ponds in his backyard connected by a waterfall The top pond
holds 24 gallons of water. The bottom pond holds 158 gallons of water. How many total
gallons do the 2 fish ponds hold?

Answers

Answer:

182 gallons of water

15
What time is it 2 hours and 35 minutes after 2:45 p.m.?
OA. 5:20 p.m.
OB. 4:20 p.m.
C. 5:47 p.m.
D. 4:47 p.m.
Reset
Submit

Answers

Answer:

The answer is 5:20 p.m

Step-by-step explanation:

2:45 to 3:45 is 1 hour. 3:45 to 4:45 is 2 hours and add 35 minutes is 5:20 p.m

Solve 3x^2 if x is 10



By the way, the x is a variable

Answers

300 is your answer.......

The volume of a cylinder of radius 14cm is 210cm”, what is the
curved and total surface area of the cylinder.

Answers

5km

Step-by-step explanation:

The required curved surface area =30.772 cm² and the total surface area = 1261.412 cm² for the cylinder.

The volume of a cylinder of radius 14cm is 210cm².
curved and total surface area to be determined.

What is a cylinder?

The cylinder is defined as a 3D solid that keeps two identical bases joined by a curved surface, at a certain distance.

Here, Volume of cylinder(V) = 210 cm²

   V=πr2h

   h = V/πr2

   h = 210/π*14²

   h = 0.34105


Area of curved surface = 2πr*h
                                       =  2*3.14*14*0.34
                                       =  30.772 cm²


The total surface area of the cylinder,
A = 2πrh+2πr²
A = 2*π*14*0.34+2*π·*14²
A = 1261.412 cm²

Thus, The required curved surface area =30.772 cm² and the total surface area = 1261.412 cm² for the cylinder.

Learn more about cylinder here:
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I NEED HELP CLICK HERE PLEASE

Answers

Answer:

it is the one above the last one

Step-by-step explanation:

i hope it helps

Answer:

x-5

Step-by-step explanation:

when x=(a number) then you -5 you find 5 less then a number therefore x-5 is the anwser

100 POINTS AND BRAINLIEST. PLEASE HELP!!!!!! Ava’s watering can holds 2 liters of water. She uses 200 milliliters to water each of her plants. How many plants can she water if she fills the watering can two times?

Answers

Answer:

She can water 20 plants

Step-by-step explanation:

She has a total of 2 liters in each can, and if she uses 2 full cans, she has a total of 4 liters. 4 liters=4000 milliliters.

To find the amount of plants she can water, we need to divide the amount of water she has by how much it takes to water each plant. So,

[tex]\frac{4000}{200}[/tex]

[tex]=\frac{20}{1}[/tex]

[tex]=20[/tex]

So, she can water 20 plants with two full water cans.

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Answer:

20 plants

Step-by-step explanation:

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HOPE IT HELPS

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Answers

Answer:

B

Step-by-step explanation:

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What’s the slope?? Please help!

Answers

Answer:

I believe the slope of the line is 5

Step-by-step explanation:

5 + 5 = 10

10 + 5 + 15

15 + 5 = 20

Hope this helps :)

(change in y divided by change in x)

Cheryl’s fish tank is 2 yards long by 24 inches wide by 3 feet high. What is the volume of Cheryl’s tank in cubic inches?

Answers

Answer:62

Step-by-step explanation:

what is the square root 165​

Answers

Answer:

12.8

Step-by-step explanation:

Answer:

12.8452325787

Step-by-step explanation:

Joy baked 2 pizzas and cut each pizza into 8 slices. Joy and her brother ate all but 4 slices of the pizza. Which equation can be used to find s, the number of slices joy and her brother ate?

2 x s = 8 x 4

2 x 8 + 4 = s

s = (2 + 8) - 4

8 x 2 = s + 4

Answers

Answer: 8 x 2 = s + 4

Which of the following represent the numerical expression 2p? (c (Select all that apply.) 1: The product of 2 and p 2: Two more than p 3: Two less than p 4: Two groups of p 5: The quotient of 2 and p 6: Two multiplied by p​

Whoever answer this question Get Mark Brainiest

Answers

Answer:

(1) The product of 2 and p (6) Two multiplied by p​.

Step-by-step explanation:

The given numerical expression is 2p.

Here, 2 is a variable and p is a constant. 2 and p are getting multiplying. The multiplication of two numbers is called their product.

The product of 2 and p is equal to 2p.

Also, product of 2 and p.

Hence, the statement that represents 2p are : (1) The product of 2 and p (6) Two multiplied by p​.

Can someone answer number 24 step by step?

Answers

Answer:

=1

Step-by-step explanation:

log3(x+2)-log3(x)=1

Subtraction sign means you can divide the values inside the parintheses

log3(x+2/x)=1

split up the fraction into x/x and 2/x; x/x = 1

log3(1+(2/x))=1

Change of base - three to the first power = value in parintheses

3to1st=1+(2/x)

subtract 1 from both sides

2=2/x

divide both sides by 2

x=1

;)

what would be the area of the triangle if the base of the triangle is 6 pi long height is three units long

Answers

Answer: Area = 56.52 units

Step-by-step explanation:

Pi = 3.14

Area of triangle formula is base x height divided by 2.

6 (3.14) = 18.84

18.84 x 3 = 56.52 units

Please help (no links) or i will report you i just need answers

Answers

1. b=117°

2.c=67°

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1) 117 degrees

If angle A and angle B aré supplementary this means that they add up to 180 degrees

180 degrees - 63 degrees leaves us with 117 degrees for number 1

2) 67 degrees

If angle C and angle D are complementary, this means they add up to 90 degrees

90 degrees - 23 degrees = 67 degrees

Hope this helps :)

“Gas Additive A”

Additive: “A”

Values below Q1:
“-15, -4, -2”

Q1: “1”

Median: “3”

Q3: “4”

Values above Q3:
“5, 7, 8”

A consumer advocate conducted a test of a popular gasoline additive that was claimed to increase gasoline mileage in cars. For
a sample of 15 cars they used the additive and determined how many more miles the car could drive when the additive was added to the gas tank.

For example, a positive 10 would mean that the car drove 10 more miles with the additive whereas a-3 would mean that the car drove 3 fewer miles with the additive.

The table shows a few data values (of how many more miles a car could drive with the additve) along with some summary statistics.

Are there any striking deviations?

A.) -15

B.) -2

C.) 7

D.) 8

Answers

Answer:

A

Step-by-step explanation:

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