Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. Write a system of equations to represent the situation, using d for days and p for pages.

Answers

Answer 1

Answer:

P = 6d ; P = 5d + 15

Step-by-step explanation:

Given that :

Keith = 6 pages per day

Tameka = 5 pages per day

Tameka has already read 15 pages

If d = Number of days ; p = pages read

Keith :

Pages read, p = pages read per day * Number of days, d

P = 6d

Tameka :

Pages read, p = (pages read per day * Number of days, d) + pages read already

P = 5d + 15

Answer 2

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

What is the system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,

[tex]P=6\times d\\P=6d[/tex]

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

[tex]P=5\times d+15\\P=5d+15[/tex]

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

Learn more about the system of equations here;

https://brainly.com/question/13729904


Related Questions

In five games of bowling. Gabes combined score was 380. Find his score per game. Round to the nearest tenth of a cent when necessary
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Wouldn’t it be 380 ÷ 5

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Answer:

5

Step-by-step explanation:

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Answer:

CD = AC

Step-by-step explanation:

CD = AC.  "bisect" means "to divide in half."  Half of AD is either AC or BC, which are equal to each other.

DC = AC

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What is the smallest degree of rotation that will map a regular 15-gon onto itself

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13

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Step-by-step explanation:

What is the slope of a line that passes through the origin and the point (-2,1)?

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Answer:

The slope would be -1/2.

Step-by-step explanation:

Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),

= ( 4, -2 ),

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= -1/2

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Answer:

The answer would be YES, it is a dialation

Step-by-step explanation:

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Step-by-step explanation:

10y+x=-100

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Answers

C is the answer because slope is rise over run and the slope goes down 3 and right 5 times so -3/5 is the answer.

Answer:

y=-3/5 or C

Step-by-step explanation:

Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.

Hint: Use the formula, f(x) = P(1 + r)x

A. f(x) = 900(1.7)x, $1,081

B. f(x) = 900(1.07)x, $1,262

C. f(x) = 900(1.07)x, $1,081

D. f(x) = 900(0.07)x, $1,262

Answers

Answer:

D. f(x)=900(0.07)^x.1,262

Step-by-step explanation:

You would have to use the P(1+r)^x

P= starting amount

R= rate of change or the percentage changed into a decimal

x= time

So it would be, 900(1+0.07)^5

calculating that you would get 1,262.3. but approximately it's 1,262.

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Answers

Answer:  10^2 = x^2 plus 6^2

100= x^2 + 36

64=x^2

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Step-by-step explanation:

Step by step explanation

Answers

Answer:

[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]

Step-by-step explanation:

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

3x + 5y = -3 ------------------------(2)

Multiply Eq. (1) by 3

3(2x + 4y) = -4 * 3

6x + 12y = -12 ---------------------(3)

Multiply Eq. (2) by 2

2(3x + 5y) = -3 * 2

6x + 10y = -6 ---------------------(4)

Subtract Eq. (4) from (3)

6x + 12y - ( 6x + 10y ) = -12 - (-6)

6x + 12y - 6x - 10y = -12 + 6

12y - 10y = -6

2y = -6

Divide 2 to both sides

y = -6 / 2

y = -3

Put y = -3 in Eq. (1)

2x + 4(-3) = -5

2x - 12 = -5

Add 12 to both sides

2x = -5 + 12

2x = 7

Divide 2 to both sides

x = 7 / 2

So,

x = 7 / 2 , y = -3

[tex]\rule[225]{225}{2}[/tex]

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~AH1807

The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?

Answers

Answer:

Let length be L

Width be W

L=1+2W

Perimeter(p) of rectangle is

P=2L+2W

But L = 1+ 2W and p= 20

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20=2+4W+2W

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Divide both sides by 6

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2W+1=L

6+1=L

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Which equation is NOT a linear function?

Answers

Answer:

y=x^2-2

Step-by-step explanation:

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A. {(2, 5), (3, 1), (4, 1), (4, 7)}


B. {(3, 2), (4, 3), (3, 2), (2, 6)}


C. {(1, 3), (3, 5), (2, 5), (1, 6)}


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Answers

Answer:

D

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Answer:
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4x^2 - 12x - 3

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Answers

Answer:

4(7)^2-12(7)-3

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Step-by-step explanation:

All you need to do solve this problem is substitute for X using 7. {After you you plug just use PEMDAS and solve from left to right or use a calculator}

4(7)^2 -12(7) -3

4×49 -84 -3

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4
Drag each value and expression to the correct location on the equation. Not all values and expressions will be used.
A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where tis the
time in years.
P(t) = 78,125 0.025:
How many years will it take for the farmland's market value to reach $125,000?
6.4
In(1.6)
0.025
18.8
13.6
years
years
Reset
Next

Answers

Answer: t = 18.8 years

Step-by-step explanation: The modeled function is an exponential function:

[tex]P(t)=78,125e^{0.025t}[/tex]

which is farmland worth along time.

To determine when the farmland will be worth $125,000:

[tex]125,000=78,125e^{0.025t}[/tex]

[tex]e^{0.025t}=\frac{125,000}{78,125}[/tex]

[tex]e^{0.025t}=1.6[/tex]

Apply natural logarithm:

[tex]ln(e^{0.025t})=ln(1.6)[/tex]

And then, power rule:

[tex]0.025t=ln(1.6)[/tex]

[tex]t=\frac{ln(1.6)}{0.025}[/tex]

t ≈ [tex]\frac{0.47}{0.025}[/tex]

t ≈ 18.8

After 18.8 years, the farmland will reach market value of $125,000.

Answer:

Step-by-step explanation:

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Answers

Answer:

324.6 km/hr

Step-by-step explanation:

Since the plane drifts up 15° from its original heading of 90°, it is at a bearing of 90° - 15° = 75°.

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= 324.55 km/hr

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Answers

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Answer:

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Step-by-step explanation:

9514 1404 393

Answer:

  A and B

Step-by-step explanation:

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Super store buys a basketball for $8.00 and marks it up by 40% . Find the markup amount and the selling price .


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Answers

If your cost is $8.00 and you wish to markup that price by 40%, 80% + 40% = 120%. Divide the $8.00 cost by 120% and get the retail price of $15.00. Therefore, the markup amount is $7.00 ($15.00 - $8.00 = $7.00) and the selling price is $15.

Answer:

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Step-by-step explanation:

\dfrac{23}{50} 50 23 ​ start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights? \%%

Answers

Answer:

46%

Step-by-step explanation:

Given that:

23/ 50 of Xander's friend prefer to stay at home;

Total number of friend's = 50

Number who prefer to stay home = 23

Hence, percentage who prefer to stay at home :

(23 /50) * 100%

0.46 * 100%

= 46%

point E is located at (-1,-6) on the coordinate plane. Point E is reflected over the y-axis to create point E' . Point E' is then reflected over the x-axis to create point E'' . What ordered pair describes the location E''?​

Answers

(-1,-6) --> (1,-6) --> (1,6)
(1,6) is E''

at the neighborhood block party, k'neisha noticed that every 5 minutes, the shadow of a nearby pine tree got six inches longer. at 4:00 pm, the shadow was 12 feet long. How long was the shadow at 5:00 pm

Answers

Answer:

18 feet

Step-by-step explanation:

60 mins an hour

5 mins + 6 inches

60/5=12

12*6 = 72

12 feet +72 inches

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if you have to do 198 assignments in 27 days how many assignments should you do daily?

Answers

You would need to do about 7.33

Answer:

8 assignments a day

Step-by-step explanation:

hi everyone how are you and what is 4 divieded by 12

Answers

ookies. OK

How to calculate 12 divided by 4

Long Division

Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.

Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:

12 = dividend

4 = divisor

Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:

4 ⟌ 1 2

Step 2:

The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

0

4 ⟌ 1 2

Step 3:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

0

4 ⟌ 1 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

0

4 ⟌ 1 2

- 0

1

Step 5:

Move down the 2nd digit of the dividend (2) like this:

0

4 ⟌ 1 2

- 0

1 2

Step 6:

The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:

0 3

4 ⟌ 1 2

- 0

1 2

Step 7:

Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:

0 3

4 ⟌ 1 2

- 0

1 2

1 2

Step 8:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

0 3

4 ⟌ 1 2

- 0

1 2

- 1 2

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