Kate and Riley are reading the same book. Kate reads 1/3 page per minute, and Riley reads 3/4 page per minute. Kate has already read 70 pages, while Riley has read 30 pages. If they both resume reading together, eventually Riley will catch up to Kate.

(please show your working)

a. On what page will that occur?
b.How many minutes have they read when Riley catches up?

Answer:

9.6miles per hour

Step-by-step explanation:

2/3＝40min

32/5 /40＝0.16

0.16miles per min

0.16*60＝9.6

Step-by-step explanation:

he jogs 3 2/5 miles in 2/3 of an hour.

3 2/5 miles are 17/5 miles.

now, to get mph as speed unit, we need to bring the 2/3 hour to 1 hour.

we need to multiply 2/3 by a factor to get 1

2/3 × x = 1

2x = 3

x = 3/2

since we have to multiply the denominator of the ratio by 3/2, we also need to multiply the numerator by the same value to keep the overall value of the ratio/fraction the same.

17/5 / 2/3 × 3/2 / 3/2 = (17/5 × 3/2) / (2/3 × 3/2) =

= ((17×3)/(5×2)) / ((2×3)/(3×2)) =

= (51/10) / 1 = 51/10 = 5.1 mph

so, his jogging speed is 5.1 mph.

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Value of m is equal to :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

➢ 15 = 2m - 9

➢ 15 + 9 = 2m

➢ 2m = 24

➢ m = 24 ÷ 2

➢ m = 12

[tex] \mathfrak{hope \: \: it \: \: helps\;\; Rainbow ~ \: \: }[/tex]

Answer:

157.89

Step-by-step explanation:

Step-by-step explanation:

the line passes through (0,-2) and perpendicular to the graph of y=5x+7.

solution :

the slope = -1/5

the equation :

y+2 = -1/5 (x-0)

y = -1/5x - 2

Answer:

.

Step-by-step explanation:

Answer:

=3000/53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the values of expressions and compare with -12.48:

#1

Yes

#2

No

#3

Yes

Answer:

x ≈ - 0.14

Step-by-step explanation:

6(4x + 5) = 3(x + 8) + 3 ← distribute parenthesis on both sides

24x + 30 = 3x + 24 + 3 , simplify

24x + 30 = 3x + 27 ( subtract 3x from both sides )

21x + 30 = 27 ( subtract 30 from both sides )

21x = - 3 ( divide both sides by 21 )

x = [tex]\frac{-3}{21}[/tex] = - [tex]\frac{1}{7}[/tex] ≈ - 0.14 ( to the nearest hundredth )

Answer:

12.6

Step-by-step explanation:

sorry only first one

six dollars and 30 cents

Answer:

x= 17.5

y= 35

Step-by-step explanation:

Steps are in attachment.

Answer:

• For x (Acute angle property)

[tex]{ \rm{(2x + 10) \degree + 30 \degree + 6x=180 \degree}} \\ \\ { \rm{8x + 40=180}} \\ \\ { \rm{8x = 140}} \\ \\ { \boxed{ \underline{ \rm{ \: \: x =17.5 \: \: }}}}[/tex]

• For y ( Interior angle sum of triangles )

[tex]{ \rm{(y + 10) \degree + 6x \degree + 30 \degree = 180 \degree}} \\ \\ { \rm{y + 10 + 30 + (6 \times 17.5) = 180}} \\ \\ { \rm{y +145 = 180 }} \\ \\ { \boxed{ \underline{ \rm{ \: \: y = 35 \: \: }}}}[/tex]

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5

y=3-2x

please mark brainliest and have a nice day!

Answer:

bro so i dont have an answer but i'm on the same thing rn lol

Step-by-step explanation:

Answer:

6 × 4 = 25

6 + 4 = 10

hope this helps

Answer:

Step-by-step explanation:

x * y=-21

x+y =-10

we use elimination method to solve

x * y = -21

x + y = -10

x = -11

then replace the y s with -11

x * y = -21

x * -11 =-21

x *-11 + -11 = -21+-11

x = -32

x + y = -10

x +-11 = -10

x + -11--11 = -10--11

x + 0 = -10+11

x = 1

x =1

y = -11

Answer:

here it is plz mark me as brainliest

Answer:

Step-by-step explanation:

-39 = 18 + 4m

4m + 18 = -39

Subtract 18 from both sides

4m = -39 - 18

4m = -57

Divide both sides by 4

m = -57/4

[tex]m = -14\dfrac{1}{4}[/tex]

Answer:

-14 1/4

Step-by-step explanation:

I took the test

Answer:

The answer is not there.

Step-by-step explanation:

-1 5/6 x 4 6/1

-(1 x 6 + 5/6) x (4 x 1 + 6)

-11/6 x 10

-110/6

Simplified

-55/3 or -18 1/3

Answer:

Step-by-step explanation:

Two angles are alternate and has same measurement because line l and line m are parallel so to find x:

4x - 50 = 2x + 30

4x - 2x = 30 + 50 add/subtract like terms

2x = 80 divide both sides by 2

x = 40

Answer:

4x-5y+45=0.

Step-by-step explanation:

1) formula is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

2) if point A is (0;9) and point B is (5;13), then:

[tex]\frac{x}{5} =\frac{y-9}{13-9}; \ => \frac{x}{5} =\frac{y-9}{4}; \ => \ 4x-5y+45=0.[/tex]

Answer:

15y + 18 and 5y = 6 are equivalent because when you divide 15y and 18 by 3

5y = 6 is what you get. When you multiply 5y and 6 by 3, 15y = 18 is what you get.

Line 3 = (200 × 4) + (60 × 4) + (3 × 4)      [multiply the terms in the brackets]

          =  800  +   240  + 12  

Answer:

Refer to the attachment

Answer:

y = 4x

Step-by-step explanation:

Since there are going to be four quizzes a month (x), we know that we will multiply the number of months (x) by the number of quizzes (4). However, because we don't know how many months there are, we can define the months as (x), and instead put the total (y) is equal to the number of quizzes per month (4), multiplied by the number of months (x). Out final result is

(y = 4x)

man im sorry because its hard to explain

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Answer:

[tex]4 - 2y = -2x [/tex]

subtract the 4 from one side

[tex] - 2y = - 2x - 4[/tex]

divide the -2 from the y and the-2x and 4

[tex]y = - x + 2[/tex]

-y + 6 = x

subtract the 6 and add -6 after the x

[tex] - y = x - 6[/tex]

6x - y - 3 = 0

add the y so it cancels out

y = 6x - 3

3y + 15x = -15

subtract the 15x

3y = -15x - 15

divide the 3

y = -5x -5

Answer:

The correct ratio is 7:8, so no, Emma is not correct.

Hello cayleahm253!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.

__________________

Solving...

[tex]35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}[/tex]

__________________

__________________

Hope it'll help you ッ

ℓucαzz