Sophie and Jackson are reading the same book. At the beginning of the month, Sophie was on page 20 and Jackson was on page 50. Sophie will read 10 pages per day and Jackson will read 5 pages per day. Let S represent the page of the book that Sophie is on at the end of t days into the month, and let J represent the page of the book that Jackson is on at the end of t days into the month. Graph each function and determine after how many days t Sophie and Jackson will be on the same page of the book.

Answers

Answer 1

Answer:

t = 6 days

Step-by-step explanation:

We can model both cases with linear equations in the form:

y = ax + b

Sophie was on page 20 and she reads 10 pages per day, so her equation is:

S = 20 + 10t

Jackson was on page 50 and he reads 5 pages per day, so his equation is:

J = 50 + 5*t

The graph of those equations are in the image attached (The blue line is for Sophie and the orange line is for Jackson)

To find after how many days they will be on the same page, we can make S = J and then find the value of t:

20 + 10t = 50 + 5t

5t = 30

t = 6 days

Sophie And Jackson Are Reading The Same Book. At The Beginning Of The Month, Sophie Was On Page 20 And

Related Questions

There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?
A4%
B 0.25%
C20%
D25%

Answers

Answer:

d)25 percent

Step-by-step explanation:

5/20×100

0.25×100

25 percent

Mark brianliest if my answer suit your question.

The percentage of fruits that are apple are 25%.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total fruits= 20

Number of apples= 5

let the percent of fruits that are apple be x.

So, x% of 20= 5

x/100 (20) = 5

x/5 = 5

x = 25%

Hence, the percentage is 25%.

Learn more about percentage here:

https://brainly.com/question/29306119

#SPJ2

Can someone please help me I have to turn this in before 11:59pm

Answers

Answer:

[tex]x = \dfrac{147}{13}[/tex]

Step-by-step explanation:

Please refer to attached for labeling of the diagram:

We have 2 triangles here in the figure:

[tex]\triangle ABC \text{ and }\triangle BDE[/tex].

1. [tex]\angle B[/tex] is common to both the triangles.

Sides AC || DE (parallel sides):

So, Corresponding angles will be equal

2. [tex]\angle A = \angle D[/tex]

3. [tex]\angle E = \angle C[/tex]

So, [tex]\triangle ABC \text{ and }\triangle BDE[/tex] are similar to each other.

Similar triangles have ratio of their sides as equal.

So, [tex]AB : BD = BC : BE[/tex]

[tex]\Rightarrow \dfrac{6+7}{6} = \dfrac{21}{21-x}\\\Rightarrow \dfrac{13}{6} = \dfrac{21}{21-x}\\\Rightarrow 13 \times (21-x) = 21 \times 6\\\Rightarrow 13x = 7 \times 21\\\Rightarrow x = \dfrac{147}{13}[/tex]

Hence, [tex]x = \dfrac{147}{13}[/tex]

C = 0.5n + 5
C=cost (£)
n=number of miles travelled
Calculate the cost of a journey that is 25 miles.
Show your working out and write the answer in the box below.​

Answers

Answer:

cost of journey of 25 miles =  £ 17.5

Step-by-step explanation:

Base on the equation the cost of the journey can be represented as

C = 0.5n + 5

where

C = cost in £

n = number miles covered

To calculate the cost of a journey that is 25 miles we have to insert the value of n as 25  in the equation. Therefore,

C = 0.5n + 5

n = 25

C = 0.5(25) + 5

C = 12.5 + 5

C = £ 17.5  

cost of journey of 25 miles =  £ 17.5

Solve for a side in right triangles

Answers

Answer:

4.50 = ?

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 40 = ? / 7

Multiply each side by 7

7 sin 40 = ?

4.499513268 = ?

To the nearest hundredth

4.50 = ?

If a dilation is applied to a triangle, then the image must be
O a congruent triangle.
O a triangle that is flipped over a line of symmetry.
a triangle that is rotated about a given point
O a larger or smaller triangle.

Answers

Answer: it would be a congruent triangle

Step-by-step explanation:

i have no idea but i got it right :)

The point (-3,2) lies on a circle. What is the length of the radius of the circle of the center is located at (-1,5)

Answers

just kidding its quadrant 3 but the negative number y so it would have to be positive x so you would or wouldnt have to move it

Scientific notation
1.25 * 10^7 + 63,000,000

Answers

Answer:

( 1. 25 * 10 ^ 7 ) + ( 63 * 10 ^ 6 ) = 75 .5 *10^6

Step-by-step explanation:

hope it helps you !!

Anyone know this one ?

Answers

It's 1.

tan is (opposite)/(adjacent). In the triangle you can see that the opposite and adjacent sides are the same length, because it's a 45-45-90 triangle. So, something divided by the same thing will give 1.
Answers is 1 Hope this helps

What is the inverse of this function? f(x)=e^x

Answers

Answer:

log x

Step-by-step explanation:

y= e^x

taking logaritm on both sides.

log y = x = f-¹(x)

Therefore inverse of function equals log y

f⁻¹(x) = ln x

plato gang :D

Find the value of k so that x = -1 and y =-1 is a solution of the linear equation 9kx + 12ky = 63

Answers

Answer:

k = - 3

Step-by-step explanation:

Given

9kx + 12ky = 63

Since x = - 1 and y = - 1 are solutions of the equation

Substitute x = - 1 and y = - 1 into the equation and solve for k

9k(- 1) + 12k(- 1) = 63, that is

- 9k - 12k = 63

- 21k = 63 ( divide both sides by - 21 )

k = - 3

Can someone please help me with this? It’s due in an hour

Answers

it is b I hope this work for you

Simplify. x^3 ÷ x^5​

Answers

Answer:

x^-2

Step-by-step explanation:

(x*x*x)/(x*x*x*x*x)

1/x*x

1/x^2

x^-2

Answer: 1 / x^2

Step-by-step explanation:

x^3 / x^5

= x^-2

= 1 / x^2

volume of the rectangle pyramid shown below 9in 8in 7 in

Answers

Answer:

168in³

Step-by-step explanation:

Volume of a rectangular pyramid is: [tex]V=\frac{lwh}{3}[/tex]

We are given the measurements of:

9 inches long

8 inches wide

7 inches tall

[tex]V=\frac{9*8*7}{3} \\\\V=\frac{504}{3} \\\\\boxed {V=168}[/tex]

The volume of the figure should be 168in³.

Amelia went to an amusement park with $45 to spend. She bought lunch for $10.25 and paid $5.00 for each ride. What is the greatest number of rides Amelia could ride?

Answers

Answer:

Your answer is $34.75

Step-by-step explanation:

plz mark me brainliest

Answer:

6

Step-by-step explanation:

help me!
solve for y

Answers

Answer:

\sqrt{7}i or -\sqrt{7}i

Step-by-step explanation:

square root both sides of the equation

since you can't sqrt a negative number, you substitute sqrt of -1 to i

Which gets the answer.

TX is the perpendicular bisector of Su. What is the length of SU?

Answers

Answer:

[tex]SU = 20[/tex]

Step-by-step explanation:

Given

Triangle TSU

Bisector TX

Required

Length of SU

A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;

This means that line TX divides line SU into two equal part.

This implies that

[tex]SU = SX + UX[/tex]

and

[tex]SX = UX[/tex]

Substitute [tex]SX = UX[/tex]; The expression becomes

[tex]SU = UX + UX[/tex]

Recall that [tex]UX = 10[/tex];

So, the above expression becomes

[tex]SU = 10 + 10[/tex]

[tex]SU = 20[/tex]

Hence, the length of is 20

1. If 100% = 80, than 75% = ?

Answers

Answer:

60

Step-by-step explanation:

100% = 80,

75% = 80/100*75= 60

Step-by-step explanation:

100% = 80

/ 100

1% = 0.8

x75

75% = 60

? = 60

You have a set of numeric tiles, from 1 to 6. You randomly choose one tile. How many possible outcomes are there?

Answers

Answer:

6

Step-by-step explanation:

There are 6 different tiles choose 1

There are 6 different possible outcomes

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

I am thinking B

Step-by-step explanation:

I may be wrong

Correct me

Answer:

B impossible situation

Step-by-step explanation:

x = price of notebook

y = price of newspaper

40x +20y = 130 divide by 10 → 4x + 2y =13

8x + 4y =28 divide by 2 → 4x +2y = 14

there are 2 same equations with different answers so no solution

Solve for g.

–19g = –20g + 12

g =

Answers

Answer:

g = 12

Step-by-step explanation:

–19g = –20g + 12

Add 20 g to each side

–19g+20 g = –20g+ 20g + 12

g = 12

Answer:

g = 12

Step-by-step explanation:

→The first step is to add 19g to both sides:

-19g = -20g + 12

+19g   +19g

____________

0 = -g + 12

→Subtract 12 from both sides:

0 = -g + 12

-12       -12

_________

-12 = -g

→Divide both sides by -1:

12 = g

x ( y - x y ), where x= -5 and y= -2

Answers

Answer:

60

Step-by-step explanation:

-5(-2-10)

according to pemdas...solve parenthesis first

-5(-12)

= 60

Answer:

60

Step-by-step explanation:

x ( y - x y )

where x= -5 and y= -2

----------

-5(-2-(-5)(-2))=-5(-2-10)= -5(-12)= 60

in triangle PQR, the measure of angle P=53degrees, PQ=7.4, and PR=9.6. what is the measure of angle R to the nearest degree?

a. 61 degrees

b. 49 degrees

c. 42 degrees

d. 35 degrees

Answers

The answer is B 49 degrees

Describe how the graph would move from the parent function: y = |x+4| - 12

Answers

Answer:

The graph moves 4 right and 12 down.

Step-by-step explanation:

So let me rewrite the function into all variables:

y = |x + z| + a

If z goes up, the graph moves right.

If z goes down, the graph moves left.

If a goes up, the graph moves up

If a goes down, the graph moves down.

The graph moves 4 right and 12 down.

Given: ABCD is a kite.
Put a checkmark in every box that must be
true. Has two pairs of parallel sides
Has exactly one pair of parallel sides
All four sides are congruent
Has exactly one pair of congruent sides
Both pairs of opposite sides are congruent
Two pairs of consecutive sides
(but not all four sides) are congruent
There are right angles at all four vertices
The diagonals are perpendicular
The diagonals are congruent
The diagonals bisect each other
Ty
4
-6S
I
Use calculations and words to show
this quadrilateral meets the
definition of a kite.​

Answers

Answer:

1)  The correct options are;

Two pairs of consecutive sides (but not all four sides) are congruentThe diagonals are perpendicular

2) Yes, the quadrilateral meets the condition for the definition of a kite

Step-by-step explanation:

1) A kite has two pairs of adjacent equal sides, therefore a kite consists of two isosceles triangles adjacent to each other sharing the same base

Which shows that the diagonals which consists of the base of the two isosceles triangles and the bisector of the angles on the opposite sides of the common base of the isosceles triangles are perpendicular to each other

Therefore, the correct options are;

Two pairs of consecutive sides (but not all four sides) are congruentThe diagonals are perpendicular

2) The coordinates of the given quadrilateral are;

D = (-3, 4), A = (3, 6), B = (5, 0), C = (-2, -4)

Therefore, the length of DA = √((-3 - 3)² + (4 - 6)²) = 2·√10

the length of AB = √((5 - 3)² + (0 - 6)²) = 2·√10

The length of DC = √((-3 - (-2))² + (4 - (-4))²) = √(65)

The length of CB = √((-2 - 5)² + (-4 - 0)²) = √(65)

Therefore, the figure has two pairs of congruent consecutive sides but not all four sides

The slope of the bisector CA = (6 -(-4))/(3 - (-2)) = 2

The slope of the bisector DB = (0 - 4)/(5 - (-3)) = -0.5 = -1/2

Therefore, the diagonals are perpendicular which shows that the quadrilateral meets the condition for the definition of a kite.

WILL MARK BRAINLIEST Please please help ASAP please I am begging!! Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Show your work and explain how to solve.

Answers

Answer:

95 degrees

Step-by-step explanation:

a triangle's interior angles add up to 180 add the two known angles subtract by 180 and you get the answer.

55 + 30 = 85

180 - 85 = 95

95 degrees

Answer:

C =95

Step-by-step explanation:

The sum of the angles of a triangle is equal to 180 degrees

A + B + C = 180

55 + 30 + C = 180

Combine like terms

85 + C = 180

Subtract 85 from each side

85+C - 85 = 180-85

C =95

AC=A, C, equals
Round your answer to the nearest hundredth.


Answers

Answer:

We have the equation A*C = A

Now, as both sides of the equality are the same thing, we can do the same operation to both sides and the equality will remain true.

We can divide both sides by A and get:

(A*C)/A = A/A

C = 1

So here we finded the value of A.

If A and C are matrices, then C is the identity matrix.

Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2). y = - 1/3x + 1 y = -3 x -1 y = 9 x -1 y = 1/3x -1

Answers

Answer:

y = - 1/3 x + 1

Step-by-step explanation:

(6, -1) and (-3, 2)

Slope = (y2  - y1)/(x2 - x1) = (2 - (-1))/(-3-6) = 3/(-9) = - (1/3)

y-int form is y = ma +b

y = - 1/3 x +b

(-3, 2)

2 = (- 1/3)*(- 3)+ b

2 = 1 + b

b = 1

y = - 1/3 x + 1

Tamara bought a sweater that was 30 percent off the original price.the original price of the sweater was $80.How much did Tamara pay

Answers

Answer:

24

Step-by-step explanation:

Multiply the Price Percentage by the Original Price

Multiply the original price and the percentage that represents the sale price; the result is the sale price of the blazer in dollars: $90 × 0.7 = $63. So if the blazer is on sale for 30 percent off, you'll pay the remaining 70 percent of the price, which is $63.

what quadratic function f whose only zero is -6

Answers

Answer:

y=(x+6)^2

Step-by-step explanation:

Bc, the root has to be only -6

there fore x=-6

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 9), and then walks to a movie theater at (7, 9). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?

Answers

Answer: If their is a picture pls send it, if you dont know how look down :))

Step-by-step explanation: when you want to put a question, look for a pin then you can put pictures by that way :))

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