Two joggers set out at the same time from their homes 21 miles apart. They agree to meet at a point somewhere in
between in an hour and a half. If the rate of one is 2 mph faster than the rate of the other, find the rate of each

Answers

Answer 1

The two joggers who are 21 miles apart travel at a speed 8 mph and 6 mph respectively and would meet after one and half hours.

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let a represent the speed of the faster jogger and represent the speed of the other jogger. Hence:

a = b + 2 (1)

Also:

In one and half hour (1.5 h):

a = d₁/1.5

d₁ = 1.5a

b = d₂/1.5

d₂ = 1.5b

d₁+ d₂ = 21

1.5a + 1.5b = 21   (2)

From both equation 1 and 2:

a = 8, b = 6

The speed of the joggers is 8 mph and 6 mph respectively.

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Related Questions

3x+6=9
Solve for x.
Still need more characters.
Bloop.

Answers

3x + 6 - 6 = 9 - 6

3x = 3

x = 3/3

x = 1

check

3 * 1 + 6 = 3 + 6 = 9

Answer:

x=1

Step-by-step explanation:

3(1)+6=9

3+6=9

9=9

hope this helps

pls mark brainliest

Fill in values for a, b and c so that the answer to this equation is x = 4.
a(bx+3)=c​

Answers

Answer:

A=1, B=3, C=15

Step-by-step explanation:

I think that

1(3x+3)=15

3x+3=15

3x=12

x=4

100 BRAINLY POINTS!!!

The harvest results of a farm are shown in the graph below.


Which equation best models the relationship between the amount of compost used, x, and the harvest yield, y ?

A. y = x

B. y = 200x

C. y = x + 200

D. y = 200x + 200

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Answer:

C

Step-by-step explanation:

The guy who has 7.5k answers said so. Plus I need the 50 B Points

The equation that best models the relationship between the amount of compost used and the harvest yield is y = x+200

What is an equation?

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

Given that, a graph that shows the harvest results of a farm, we need to construct an equation that will give a relation between the compost used and the yield,

So the coordinates are

(0,200)

(200,400)

(400,600)

(600,800)

Finding the slope,

600-400 / 400-200 = 200/200 = 1

The y-intercept is 200, so, the relationship is

y=200+x

Hence, the equation that best models the relationship between the amount of compost used and the harvest yield is y = x+200

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PLEASE ANSWER I WILL MARK BRAINLIST

Answers

Answer:

1.1/8

2.because multiply the numerator by the reciprocal of the denominator

Step-by-step explanation:

i think the answer is 4 x 2. i hope its right

In at least 100 words independently write your response to the statement, "Anyone can do well in math."

Answers

Answer:

I believe that this is true. Anyone can do well in math, not everyone. The main difference being that if EVERYone could, that means every one person in the world, no matter the circumstance, so by saying ANYone, it's saying that however many people in the world want to do it, can do it, if they try and put in the work. Math is not biased against any one person, nor is it  favored for any one person. Any person who studies, or learns it can do well in math. Someone who has never learned anything about math will not do well at all. So, yes, ANYone can do well, but not EVERYone.

Not 100 words, but should do trick if you just add in some extra words between phrases, and substitute some words with one or two synonyms.

Show that
[tex] \frac{7}{27} + 1 \frac{7}{9} = 2 \frac{1}{27} [/tex]
Write down all the steps in your working ​

Answers

Answer:

2 wholes and 1 27th

Step-by-step explanation:

so you have to times the bottom numbers so there the same 9x3=27 then times the top by three so its 21 on the top the you plus 1 whole so then you add it all together you should get 2 wholes and 1 27th

Step-by-step explanation:

First add the LHS side,

[tex] \hookrightarrow\frac{7}{27} + 1 \frac{7}{9} \\ \hookrightarrow\frac{7}{27} + \frac{16}{9} \\ \hookrightarrow \frac{7 \times 1+ 16 \times 3}{27} \\ \hookrightarrow \: \frac{55}{27} \\ \hookrightarrow \: 2 \frac{1}{27} [/tex]

Hence LHS= RHS Proved!

Mrs. Parker bought several items at a sale recently. She bought 4 towels
for $6.58 each, a set of 6 glasses for $6.58, a shower curtain for $15.80, 3
throw pillows for $11.19 each, and a pair of pillowcases for $12.50. How
much change did she get from a hundred-dollar bill?

Answers

her purchases

4 x 6.58 + 6.68 + 15.80 + 3 x 11.19 + 12.50

= 26.32 + 22.48 + 33.57 + 12.50

= 94.87

she gave 100

she got back : 100 - 94.87 = $5.13

Given the relation R = {(−2, 3), (b, 4), (1, 9), (0, 7)}, what value for b would make this relation NOT a function.

A.8
B.3
C.4
D.0

Answers

Answer:

D. 0

Step-by-step explanation:

A function must not have 2 or more first number or X that have the same value.

On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos.
Farmer Palmer counts in total, 11 heads and 30 legs. How many cats and how many chickens are in the chicken coop. Show a step by step method using simultaneous equations.

Answers

4 cat and seven chicken

The number of chickens and goats will be 7 and 4, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos. Farmer Palmer counts in total, 11 heads and 30 legs.

We know that a goat has four legs and a chicken has 2 legs.

Let 'x' be the number of chickens and 'y' be the number of goats. Then the equations are given as,

x + y = 11                  ...1

2x + 4y = 30           ...2

From equations 1 and 2, then we have

2(11 - y) + 4y = 30

22 - 2y + 4y = 30

2y = 8

y = 4

Then the value of 'x' is given as,

x = 11 - 4

x = 7

The number of chickens and goats will be 7 and 4, respectively.

More about the solution of the equation link is given below.

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Plz need help I will mark branliest

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 49 ← is in this form with

r² = 49 ( take square root of both sides )

r = [tex]\sqrt{49}[/tex] = 7

Thus A = (7, 0 ) and B = (0, 7 )

To find M use the midpoint formula

M = ( [tex]\frac{7+0}{2}[/tex], [tex]\frac{0+7}{2}[/tex] ) = (3.5, 3.5 )

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{x_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3.5, 3.5 )

m = [tex]\frac{3.5-0}{3.5-0}[/tex] = [tex]\frac{3.5}{3.5}[/tex] = 1

y = x ← equation of line passing through O and M

Answer:

Below in bold.

Step-by-step explanation:

(a)

At point A,  y = 0 so the coordinates of A are found as follows:

x^2+ 0^2 = 49

x^2 = 49

x = 7   so A is (7, 0).

In a similar way,  by putting x = 0 in the equation, we can show that

B = (0, 7).

(b)

M is the midpoint of the line AB so its coordinates are:

(7+ 0)/2, (0 + 7) /2 = (3.5, 3.5).

So the slope of OM  which also passes through the origin (0,0) is:

(3.5 - 0) /(3.5 - 0) = 1.

y - y1 = m (x - x1)

y - 3.5 = 1(x - 3.5)

y = x - 3.5 + 3.5

y = x is the required equation.

Noah can't wait for lunchtime. Today is taco day! The cafeteria made three times as many beef tacos as chicken tacos and 50 more fish tacos as chicken tacos. They made 945 tacos in all. How many more beef tacos are there than fish tacos? Correct answer with units (if applicable) is worth 2 points; correct answer only is worth 1 point.

Answers

Answer:

308 beef tacos

Step-by-step explanation:

Let chicken tacos = c

Let beef tacos = 3c

Let fish tacos = c + 50

945 = c + 3c + c + 50

Simplify to 945 = 5c + 50

Subtract 50 on both sides and divide 5 to get

chicken tacos = 179

Plug in 179 to beef tacos to get 179*3 = 537

Plug in 179 to fish tacos to get 179 + 50 = 229

Subtract 537-229 to get how many more beef tacos than fish tacos, and so the answer is 308 beef tacos

Find te slope of the graph

Answers

Answer:

It is d. 3/2

Step-by-step explanation:

slope formula is rise over run or x2-x1/y2-y1. So it would be 6-0/4-0. That equals 6/4. You just need to simplify that by dividing both 6 and 4 by 2 and you get 3/2.

the answer to the question is D

Find the value of f(2).

Answers

Answer:

y=2

Step-by-step explanation:

You would look on your x-axis and find the point two, the number on the y-axis that corrisponds with that is 2 so therefore your answer is two. Hope this helps!

Answer:

It's easy: if y = 2, what is x on the graph?: 2, because f(x) is the same as y.

Step-by-step explanation:

please help me please

Answers

Answer:

○ [tex]\displaystyle -4[/tex]

Step-by-step explanation:

When [tex]\displaystyle f(x)[/tex]is [tex]\displaystyle 0,[/tex]you relocate to the x-axis to find the x-coordinate, and happens to be [tex]\displaystyle -4.[/tex]

I am joyous to assist you at any time.

Which expression is equivalent to 1. 2y + 4. 5 - 3. 4y - 6. 3

A. 4. 6y - 1. 8

B. -2. 2y + 11. 1

C. 5. 5y - 10. 2

D. -2. 2y - 1. 8

Answers

Answer:

D I looked it up and it said D hope it's right



is this table a function?

Answers

Answer: No, it is not a function

We have x = 81 repeat itself. Any time x repeats, it means we don't have a function.

Put another way, the input x = 81 leads to more than one y output. A function is only possible if any given input leads to exactly one output. The input must be in the domain.

No
You can’t have two different numbers on the same x point. 81 is not able to be a negative 9 and a positive in the same graph

No entiendo estas multiplicaciones ayudaa ksjsmkdjdjdj

Answers

Answer:

Please mark as brainliest;)

This data gives the average number of hours different students spend on the computer each day. Average time (h): 1. 6, 2. 0, 2. 0, 2. 0, 1. 8, 1. 8, 1. 5, 2. 0, 1. 9, 1. 6, 1. 9, 1. 7, 1. 6, 1. 6, 2. 0, 1. 8, 1. 5, 2. 0 Create a line plot to display this data. To create a line plot, hover over each number on the number line. Then click and drag up to plot the data. Students Weekly Computer Time 1. 5 1. 6 1. 7 1. 8 1. 9 2. 0 Average time (h) 0 1 2 3 4 5 6 7 8 Y label

Answers

The line plot is used to show the average time spent using check marks above the line

How to draw the line plot

From the dataset of the average number of hours, we have the following frequency table

Average time         Frequency

1.5                                2

1.6                                4

1.7                                1

1.8                                3

1.9                                 2

2.0                                6

Next, we plot the number line.

Such that the average time spent are on the x-axis while their frequencies are on the y-axis

See attachment for the line plot

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I really need this answer.

Answers

The answer is B. -8+1-5

Answer:

I thinks its a or c

Step-by-step explanation:

Hope that helps

Given the function x^3-5x:
Find f (2)
Find f(-2)
Is the function odd or even?

Answers

f(2)= -2, f(-2)= 2, odd

Step-by-step explanation:

1. f(2)=x^3-5x

2. f(2)= 2^3-5(2)

3. f(2)=8-10

4. f(2)= -2

5. f(-2)= x^3-5x

6. f(-2)= -2^3-5(-2)

7. f(-2)= -8+10

8. f(-2)= 2

please answer the following and give a good explanation

Answers

Answer:

c

Step-by-step explanation:

12 = 24, and 4 = 8 thats all that is

Pam Everett earned gross wages of $378. Pam's deductions were: $28 in federal withholding taxes, 6.2% in Social Security taxes, 1.45% in Medicare taxes, $20.4 in health insurance, and $28 in union dues. Find the total deductions from Pam's gross pay.

Answers

Answer:

Total deductions = $105.317

Step-by-step explanation:

Gross earning = $378

Deductions:

Federal withholding tax = $28

Social security tax = 6.2% of $378 = $23.436

Medicare tax = 1.45% of $378 = $5.481

Health insurance = $28

Total deductions is gotten by summing up all values above

28+23.436+5.481+20.4+28

= $105.317

The difference between gross earning and deductions

= 378-105.317

= $272.683

Help pleaseee I need help filling the blank spaces with either true/false
I’ll mark brainliestttt

Answers

Answer:

1. true 2. true 3. false 4. true 5. false 6. false 7. false

Step-by-step explanation:

im not a 100% sure this is right but ik some that are right im just not sure about 3. and 5. so ye UWU

Answer:

T

F

T

T

F

F

T

Step-by-step explanation:

What is the length of the hypotenuse of the triangle below?

Answers

Answer:

C

Step-by-step explanation:

A²+ B²= C²

(3√2)² + (3√2)² = h

18 + 18 = 36

√36 = 6

the hypotenuse is 6

Answer:

h = 6

Step-by-step explanation:

find hypotenuse h from a given right triangle.

use the Pythagorean theorem

a² + b² = h²

where a = 3√2 = b

plugin values into the formula:

(3√2 )² + (3√2 )² = h²

18 + 18 = h²

h = √36

h = 6

26,24.5,23
arithmetic or geometric
recursive formula :
explicit formula :
9th term :

Answers

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

could u do a step by step explanation if u do do this please and thank u!!​

Answers

Answer:

29/200=0.14500

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "14.5" was replaced by "(145/10)".

Step 1:

simplify 29/2

Equation at the end of step:

29/2  ÷  100

Step 2:

Divide 29/2 by 100

Final result :

29/200=0.14500

Philip is making snack mix to take on his family's upcoming road trip. He mixes 2 pounds each of pretzels, peanuts, and cheese crackers. Then, he splits the mix evenly among 12 bags. How many ounces of snack mix does Philip put in each bag? SHOW YOUR WORK OR BAD REVIEW

Answers

Answer:

Alrighty :)

Step-by-step explanation:

2 lbs = 32 oz

32 oz x 3 bags = 96 oz

96 oz ÷ 12 bags = 8 oz/bags

He split the mix evenly into 12 bags with each being 8 oz/bag.

I hope this helps :)

In the equation 6 +7f-1, what is the variable?
A. 6

B. 7

C. F

D.1

Answers

Answer:

C

Step-by-step explanation:

A variable is the letter (AKA: Unknown value)

Answer: C. F

Step-by-step explanation:

Is 6 divided by (-3) the same as (-6) divided by 3? Why?

Answers

Answer:

sorry for the late answer but yes, it is the same. Because 6 divided by -3 is equal to -2. And if we do -6 divided by 3, we get -2 as well.

Step-by-step explanation:

1. Evaluate
A
B
C
D
a=bh/2

Answers

Answer:

the area A of a triangle is given by the formula A=1\2 bh where b is the base and h is the height : solve the formula for the height.

1 answer

·

Top answer:

A=1/2 bh multipy 2 at both side of the equation 2A = bh divide b at both side , then we will get h h = 2A/b

Step-by-step explanation:

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