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.

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.

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

Answer:

6

Step-by-step explanation:

There are 6 different tiles choose 1

There are 6 different possible outcomes

Answer: it would be a congruent triangle

Step-by-step explanation:

i have no idea but i got it right :)

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.

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

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

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.

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

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 = ?

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

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

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

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

Answer:

1)  The correct options are;

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;

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.

Answer:

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

Step-by-step explanation:

hope it helps you !!

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.

it is b I hope this work for you

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%.

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

Answer:

y=(x+6)^2

Step-by-step explanation:

Bc, the root has to be only -6

there fore x=-6

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 :))

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.

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

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

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]

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

Answer:

Your answer is $34.75

Step-by-step explanation:

plz mark me brainliest

Answer:

6

Step-by-step explanation:

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

plato gang :D