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. Will Keith and Tameka ever be on the same page on the same day? Explain.

Answers

Answer 1

Answer:

Keith p = 6d

Tameka p = 5d + 15

p=p so the following is also true:

6d = 5d + 15

let's do the same thing on both sides of the equation, subtract 5d

d = 15

after 15 days the will be on the same page

you could also say that Tameka is slowly catching up with a rate of 1 page per day


Related Questions

Write the equation of a circle that has a radius of 1/2 and a center at (1, -1),
O (x - 1)^2 + (y - 1)^2 - 1/2
O (x - 1)^2 + (y +1)^2 - 1/4
O (x+1)^2 - (y + 1)^2 - 1/4
O (x + 1)^2 + (y - 1)^2 = 1/2

Answers

Answer:

[tex](x-1)^2+(y+1)^2=\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we're given:

[tex]r[/tex] of 1/2Center at (1, -1)

Substituting given values, we get:

[tex](x-1)^2+(y-(-1))^2=\frac{1}{2}^2,\\\boxed{(x-1)^2+(y+1)^2=1/4}[/tex]

find the area of the figure below

A.288.62
B.266.22
C.186.66
D.236.6

Answers

Answer:

A. 288.62

Step-by-step explanation:

Area of two triangles = 15.3 * 10.4 = 159.12

Area rectangle = hypotenuse triangle * 7

hypotenuse = √108.16 + 234.09

Hypotenuse = 18.5

Area rectangle = 18.5 * 7 = 129.5

129.5 + 159.12 = 288.62

Answer = A. 288.62

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

SU is a midsegment of △QRT. If QR=v–66 and SU=v–76, what is the value of v?

Answers

Answer:

v=56

Step-by-step explanation:

su is half qr, 2(v-66)=v-76, simplifies to v=56

CSC(4x) - cot(4x)
CSC(4x) + cot(4x) =

A. tan(2x)
B. cot(4x)
C.tan^2(2x)
D. tan^2 (4x)

Answers

Answer:

c. tan^2(2x)

Step-by-step explanation:

The required simplified expression is given as tan²(2x). Option c is correct.

[CSC(4x) - cot(4x) ] / [CSC(4x) + cot(4x) to be simplified.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.

[tex]= [csc(4x) - cot(4x)] / [csc(4x) + cot(4x)] \\= [1/sin4x - cos4x/sin4x] / [1/sin4x  + cos4x/sin4x]\\= [(1-cos4x)/sin4x] / [(1+cos4x) /sin4x] - - - - (1)[/tex]
Here,
[tex]1 - cos4x = 2sin^24x[/tex]

 [tex]sin4x = 2sin2xcos2x,\\ 1+cos4x = 2cos^22x[/tex]
now put the value in equation 1
[tex]= [(2sin^22x)/2sin2xcos2x] / [(2cos^22x) /2sin2xcos2x] \\= [(sin2x)/cos2x] / [(cos2x) /sin2x] \\=tan2x/cot2x\\=tan^22x[/tex]

Thus, the required simplified expression is given as tan²(2x). Option c is correct.

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1) You are eating 3/4 cup of ice cream, 1/8 cup of chocolate syrup, and one sixteenths cup of cherries. How many (total) cups is your dessert?

Answers

Answer:

3/4=ice cream

1/8=chocolate syrup

1/16=cherries

Total=3/4+1/8+1/16

[tex]\frac{3X4}{4X4} +\frac{1X2}{8X2} + \frac{1X1}{16X1} \\\frac{12+2+1}{16} = \frac{15}{6}[/tex]

Total cups =15/6=2.5 cups.

Hoped this helped!

Given that sin(Θ)=1/2 and Θ is in quadrant II, which of the following would be the value of cos(Θ)?
a. 1/2
b. -1/√3
c. √3/2
d. -√3/2
e. 2

Answers

i think it should be e but not shure

please answer thissssss

Answers

Answer:

A? oof not sure

Step-by-step explanation:

I dont know

The answer you need is A

help pls no brainlist if not​

Answers

1/4 divided by 2 is the answer

Zack has 2 feet of basla wood. He needs twice that amounts to finish his project. The cost is $0.05 per inch how much will the balsa wood cost

Answers

Answer:

$2.40

Step-by-step explanation:

Zack needs a total of 4 feet of balsa wood which costs $0.05 per inch.

Note that 4 feet = 48 inches.

The overall cost will be ($0.05/in)(48 in) = $2.40

wats the answer of 1 2/5 ÷14/15​

Answers

Answer:

2/5 ÷-14/15

2/5×-15/14

-3/7 is ur answer

Answer:

3/2 = 1  1/2 or 1.5

Step-by-step explanation:

1 2/5 ÷ 14/15

= 7/5 ÷ 14/15

= 7/5 × 15/14

= 3/2 = 1  1/2 or 1.5

Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply. ​

Answers

Answer:

7th

Step-by-step explanation:

63 - 58 = 5

68-63 = 5

She is adding 5 points each time

a1 = 58

d = 5

a2 = 63

a3 = 68

a4 = 58+5 = 73

a5 = 73+5 = 78

a6 = 78+5 = 83

a7 = 83+5 = 88

This is the first assessment greater then 85, so the 7th assessment

Se tienen 25 billetes de 5 y de 20 lempiras con un monto de 350 lempiras cuantos billetes de 5 lempiras se tienen y de 20 lempiras

Answers

Answer:

El número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes

Step-by-step explanation:

Vamos a representar

El número de facturas de

5 lempiras = x

20 lempiras = y

Nuestro sistema de ecuaciones se da como:

x + y = 25 ..... Ecuación 1

x = 25 - y

5 × x + 20 × y = 350

5x + 20y = 350 .... Ecuación 2

Sustituiríamos x por 25 - y en la ecuación 2

5 (25 - años) + 20y = 350

125 - 5 años + 20 años = 350

125 + 15 años = 350

15 años = 350 - 125

15 años = 225

y = 225/15

y = 15

Resolviendo para x

x = 25 - y

x = 25 - 15

x = 10

Por lo tanto, el número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes

Find the value of 'x' then calculate the measure of angle C(2x + 15) in the triangle below.

Answers

Answer:

x = 33

<C = 81

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+  2x+ 2x+15 = 180

Combine like terms

5x+15 = 180

Subtract 15 from each side

5x +15-15 =180-15

5x = 165

Divide by 5

5x/5 =165/5

x = 33

<C = 2x+15 = 2(33)+15 = 66+15 = 81

Answer:

x = 33

c = 81

Step-by-step explanation:

Sum of three angles of triangle = 180

x + 2x + 2x + 15 = 180

Combine like terms

5x + 15 = 180

Subtract 15 from both sides

5x = 180 - 15

5x = 165

Divide both sides by 5

x = 165 /5

x = 33

∠C = 2x + 15 = 2*33 + 15 = 66 + 15 = 81°

balance the following redox reaction by ion electron method.

I2+ HNO3 = HI03+ NO2+ H20​

Answers

Answer:

BRO I DONT KNOW SORY I NEED POINTS

Step-by-step explanation:

What is the slope of the line that passes through the points (-3,5) and (6,-1)?

Answers

Answer:

C.

[tex]slope = \frac{( - 1 - 5)}{6 - ( - 3)} \\ = \frac{ - 6}{9} \\ = - \frac{2}{ 3} [/tex]

The slope is -2/3 for the point above

Find the measure of each acute angle.
The measure of the top-left angle in the triangle is__º and the measure of the bottom-right angle is__º.

Answers

Answer:

the top angle is 48

the bottom right  angle is 42

Step-by-step explanation:

The sum of the angles of a triangle is 180

90 + 8x+7x = 180

Combine like terms

90 +15x = 180

Subtract 90 from each side

15x = 180-90

15x = 90

Divide by 15

15x/15 =90/15

x = 6

8x = 8*6 = 48  so the top angle is 48

7x = 7*6 = 42 so the bottom angle is 42

Solution given:

8x°+7x°+90°=180°[sum of interior angle of a triangle is 180°]

15x=180°-90°

x=90/15

x=6°

8x=8*6=48°

7x=7*6=42°

How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?

SOMEONE ANSWER PLS

Answers

Answer:

Possible outcomes = 6

Step-by-step explanation:

Since the spinner is divided into red, yellow, orange, purple, blue and pink

Total of 6 colors.

To the nearest square centimeter, what is the area of the shaded sector in the
circle shown below?
A 22 cm
B 201 cm
346 cm
O 87 cm

Answers

Answer:

The answer would be 87^2

Step-by-step explanation:

The solution is, Area of a sector is 138.23 cm².

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The formula for the area of a sector is given as:

θ/360 × πr²

θ = 110°

Radius = r = 12 cm

Hence

Area of a sector = 110/360 × π × 12²

= 138.23007676 cm²

Approximately, Area of a sector = 138.23 cm²

Hence, The solution is, Area of a sector is 138.23 cm².

To learn more on Area click:

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In RST, RS = 8 and ST = 10. Which one of the following cannot be true?

Answers

RT cannot equal 18 because then A + B  would be equal to C which and then the sides cannot touch.

Raul is flying a kite at the end of a string that is 200 feet long. Raul is holding the string 5 feet off the ground at the angle to the horizontal of 25. How high is the kite off the ground?

Answers

Answer:

Kite is 89.52 ft off the ground

Step-by-step explanation:

We are told that the string is 200 ft long.

That the string is 5 ft off the ground at an angle of 25° to the horizontal.

I have drawn a triangle to depict this illustration with x being the height of the kite from the end of the string.

Also, I have depicted the ground level which is 5 ft below the end of the string.

From the triangle, we can calculate the height of the kite above the end of the string using pythagoras theorem.

x/200 = sin 25

x = 200 sin 25

x = 200 × 0.4226

x = 84.52 ft

Now, the bottom of the kite is 5 ft off the ground as depicted in the attachment.

Thus, height of kite above the ground = 84.52 + 5 = 89.52 ft

En una fábrica, tres de cada veinte jarrones salen con algún defecto. Si se hacen 1000 jarrones, ¿Cuántos saldran defectuosos?

Answers

Answer:

si se hacen 1000 jarrones, 150 saldrán defectuosos.

Step-by-step explanation:

En primer lugar es conveniente determinar el porcentaje de jarrones que salen con algún defecto.

Si 20 corresponde a la cantidad total de jarrones, entonces, se divide 3 sobre 20 para encontrar el porcentaje al que 3 jarrones defectuosos corresponde. La división da como resultado 0,15. Para transformar el valor encontrado en porcentaje, es necesario multiplicar por 100. Entonces, 3 jarrones defectuosos corresponden a 15% de jarrones en total.

Si se hacen 1000 jarrones, es necesario multiplicar por dicho número. Esto es: 15%*1000, obteniendo como resultado 150.

Entonces, si se hacen 1000 jarrones, 150 saldrán defectuosos.

Twelve apples were cut in thirds. How many pieces of apples are there now?

Answers

Answer:

36

Step-by-step explanation:

12*3=36

Answer: 36

multiply 12 x 3. each apple is cut into groups of three so you now have twelve groups of 3 which is just multiplication. you can draw this out and count by hand

-4x4+1.5-2.5-2x4-6.5

Answers

Answer:

0.5

please mark me as Branliest

2000ajakkakskdlwkakskkekwkakdkekskskfkenwnnandndndnenenendndnsj

which statement is true?

Answers

Answer:

All parallelograms are quadrilaterals

Answer:

All parallelograms are quadrilaterals.

Step-by-step explanation:

A parallelogram is defined by a polygon with 2 pairs of parallel sides, which implies there are a total of 4 sides in the polygon. Therefore, the parallelogram must be a quadrilateral.

I have this math problem and it is: an equation in function from that reflects f(x)=3x over the line y=0.

Answers

Answer:

[tex]g(x) = -3x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x[/tex]

Required

Reflect over [tex]y = 0[/tex]

This means that we reflect over the x-axis

And the rule of reflection is:

[tex](x,y) \to (x,-y)[/tex]

Hence:

[tex]f(x) = 3x[/tex]

Will become:

[tex]g(x) = -f(x)[/tex]

So, we have:

[tex]g(x) = -3x[/tex]

The image of ADEF is ADE'F'. Under which transformation will the triangles not be congruent?
O a reflection through the origin
O a reflection over the line y = x
O a dilation with a scale factor of 1 centered at (2,3)
a dilation with a scale factor of centered at the origin

Answers

Answer:

there is no image go see here

HELP ME NOW OOR NO DINO COOKIES snsndndnd​

Answers

Answer:

it is because the volume of the box is 200in^2

30 dollars

Step-by-step explanation:

Which of the following figures have an area greater than 40 square centimeters?
Select ALL that apply.
A. A triangle that has a base of 8 cm and height of 9 cm
B. A square that has a side length of 7 cm
C. A rectangle that has a base of 14 cm and height of 3 cm
D. A parallelogram that has a base of 5 cm and a height of 6 cm

Answers

B AND C

Step-by-step explanation:

B

AREA OF SQUARE =L²

= 7²

= 49cm²

C..

area of a rectangle Base × height

= 14 × 3

= 42cm²

Sharma is three years older than Anand. Six years ago Sharma's age was four times Anand's age. Find their ages?

Answers

Answer:

See explanation

Step-by-step explanation:

Anand = x

Sharma = x + 3

6 years ago

Anand = x - 6

Sharma = (x + 3) - 6

= x + 3 - 6

= x - 3

Sharma age = 4 (x - 6)

Six years ago Sharma's age was four times Anand's age.

x + 3 = 4(x - 6)

x - 3 = 4x - 24

x - 4x = -24 + 3

- 3x = - 21

x = - 21/-3

x = 7

Anand = x = 7 years

Sharma = x + 3

= 7 + 3

= 10 years

Please give me the answer and show me how you solved it

Answers

Step-by-step explanation:

plz mark the brainliest plzz

[tex]\huge\bold{Given :}[/tex]

Angle ABC = 4x°

Angle BAC = x°

Angle BCA = 60°

[tex]\huge\bold{To\:find :}[/tex]

The value of x.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\green{x\:=\:24°}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°

➪ 4x + x + 60° = 180°

➪ 5x + 60° = 180°

➪ 5x = 180° - 60°

➪ 5x = 120°

➪ x = [tex]\frac{120°}{5}[/tex]

➪ x = 24°

Therefore, the value of x is 24°.

Now, the three angles of the triangle are

∠ ABC = 4x = 4 x 24° = 96°

∠ BAC = x = 24°

∠ BCA = 60°

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ ABC + ∠ BAC + ∠ BCA = 180°

✒ 96° + 24° + 60° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

(Note:- Kindly refer to the attached file.)

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

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