Justine and Kate are training for a race.
At every training session Justine runs x miles and Kate runs 3 more miles than Justine.
In one week, Justine and Kate both train every day.
In the 7 days they run 63 miles in total between them.
How many miles do Justine and Kate each run per day?

Answers

Answer 1

Answer:

Justine runs 3 miles a day and Kate runs 6 miles a day.

Step-by-step explanation:

x = number of miles ran in a day

x(7) + (x+3)(7) = 63

7x + 7x + 21 = 63

14x + 21 = 63

14x = 42

x = 3

3 + 3 = 6

Justine runs 3 miles a day and Kate runs 6 miles a day.


Related Questions

Hi I really need help with this please 25POINTS!!!

What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)

Answers

Answer:

(0,7/6)

Step-by-step explanation:

angles of triangle sand explain how u got each question and answer pls ! ((:

Answers

Answer:

m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 49°

m∠7 = 96°

Step-by-step explanation:

Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°

Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well

Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°

Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total

If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral

So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°

Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°

And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°

Of the 40 pencils in the box 30 of them don’t have an eraser what percent of the pencils do not have a eraser

Answers

Answer:

75%

Step-by-step explanation:

Shannon ran the race slower than Patti but faster than Phan. What might her time be?

Phan: 7.7
Daniel: 7.44
Patti: 7.1
Ida: 7.501
Maisha: 7.01
Ali: 7.941
Manuel: 7.332

Answers

Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:

[tex]7.1 < t < 7.7[/tex]

An inequality is said to be compounded if it includes two terms, for example:

[tex]a < x < b[/tex]

Which has the following interpretation: x is more than a and x is less than b.

In this problem:

Shannon is slower than Patti, hence her time is greater than 7.1.She is also faster than Phan, hence her time is less than 7.7.

Then, the inequality is:

[tex]7.1 < t < 7.7[/tex]

A similar problem is given at https://brainly.com/question/24528399

no need to explain just tell the answer

Answers

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

I’ll mark brainliest!! Please help:)

Answers

Answer:

E

Step-by-step explanation:

The cost of a blue balloon is 4 times the cost of a yellow balloon. Rashmi spent₹ 910 in buying both blue and yellow balloons, find the cost of a blue balloon?

Answers

The cost of the blue balloon is  ₹728.

let

the price of the yellow balloon = x

cost of the blue balloon  = 4x

Total amount spent = ₹ 910

Therefore,

4x + x  = 910

5x = 910

divide both sides by 5

5x / 5 = 910 / 5

x = 182

cost of the blue balloon  = 4x = 4(182) =  ₹728

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Last year, prices increased due to inflation. This year inflation caused prices to go up again. After the second increase, the price for a certain item became 6 times the original. What was the percent increase of the second increase if the first increase was 50%?

Answers

The second percentage increase in price is 300%.

Inflation is when there is a persistent rise in the general price levels in an economy. Inflation leads to an increase in the prices of goods and services.

Let's assume that the price of an item is $100.

This year prices are 6 times the original price. This means that prices are $600 ($100 x6).

Increase in prices after the 50% increase = (1.5 x 100) = $150.

Percentage increase in price so that price is now $600 = $600 / $150 - 1 = 3 = 300%

A similar question was answered here:  https://brainly.com/question/11839495

Answer:

300%

Step-by-step explanation:

Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?

Answers

Answer:

7

Step-by-step explanation:

Assume Stefan won x games,

Marion would win: 5(x-4) games,

5(x-4)= 15

5x-20= 15

5x= 15+20

5x= 35

x= 7.

In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.

A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___

Answers

The answer is A, B, and D

Answer:

a, b, and d

Step-by-step explanation: if you do the math you can find it

can someone help me?!!! I need help!! ASAP

Answers

Answer:

x=4.6

Step-by-step explanation:

step 1 : calculate angle P since you know 2 angles

Step 2 : 57° - 90° = 180° [interior angles of a triangle ]

Step 3 : x/sin(33°) =7.1/sin(57°)

: x= 7.1Sin(33°)/sin(57°)

: x=4.6

How many grams are contained in 0.54 moles of calcium?

Answers

The number of grams present in 0.54 moles of calcium is; 22 g

We are given;

Number of moles; n = 0.54 moles

Now, Molar mass of calcium is;

M = 40.1 g

Formula for number of moles is;

n = m/M

Where;

n is number of moles

m is mass in grams

M is molar mass

Thus;

0.54 = m/40.1

m = 40.1 × 0.54

m = 21.654 g

Approximately m = 22 g

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what is the square root of 0.09 as a fraction

Answers

[tex]\\ \rm\bull\rightarrowtail 0.09[/tex]

[tex]\\ \rm\bull\rightarrowtail \dfrac{9}{100}[/tex]

Find square root

[tex]\\ \rm\bull\rightarrowtail \sqrt{\dfrac{9}{100}}[/tex]

[tex]\\ \rm\bull\rightarrowtail \dfrac{3}{10}[/tex]

[tex]\\ \rm\bull\rightarrowtail 0.3[/tex]

The solution of the square root of 0.09 as a fraction is,

⇒ 3 / 10

We have to given that,

To find value of the square root of 0.09 as a fraction.

Now, We can write it as,

⇒ √0.09

⇒ √9 / 100

⇒ √(3/10)²

⇒ 3/10

⇒ 0.3

Therefore, The solution of the square root of 0.09 as a fraction is,

⇒ 3 / 10

Learn more about the fraction visit:

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what is the square of 0.81?

Answers

Answer:

0.9 or 9/10

Step-by-step explanation:

what is the square of 0.81?

0.9

The square root of 0.81 is equal to 0.9 or 9/10

--------------

check

0.9 * 0.9 = 0.81

the answer is good

Mei is making fruit punch.
She makes the fruit punch by mixing fruit juice and lemonade in the ratio 1 : 3.
The fruit juice costs £1.80 per litre.
The lemonade costs 75p per litre.
Work out the total cost of making 16 litres of fruit punch.

Answers

Answer:

16.2p (If lemonade is .75p, if not substitute in the equation below)

Step-by-step explanation:

In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.

I am assuming 75p is meant to be .75p

So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05

We need 16 so: 4.05 x 4 = 16.2

What is linear algebra.

Answers

Answer:

Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.

Step-by-step explanation:

Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.

Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).

What is the slope of the line?

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.

I see 2 such points :

(-3, 4) and (1, -3)

x changes by +4 (from -3 to 1)

y changes by -7 (from 4 to -3)

the slope is therefore -7/+4 = -7/4

In ∆GHI and ∆JKL, GH = JK, HI = KL, GI = 9’, m∠H = 45°, and m∠K = 65°. Which of the following is not possible for JL: 5’, 9’ or 11’?

Answers

Answer:

11'

Step-by-step explanation:


Find the slope of the line that passes through (10, 6) and (1,2)

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]

. The marching band packed 3060 сans of juice into boxes for a
band competition. Each box holds 18 cans. How many boxes did
the band members have to carry?

Answers

Answer: 170 boxes

Step-by-step explanation:

You simply divide 3060 by 18.        

A train travels with a constant speed
of 32 km/h. How long will it take to
travel a distance of 80 kilometers?

Answers

Answer:

2.5 hours

Step-by-step explanation:

time = distance / speed

t = 80 / 32

t = 2.5 hours

Please help me anyone i will give you brain points

Answers

Answer:

M = 11

Step-by-step explanation:

IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS

Answers

Answer:

See below:

Step-by-step explanation:

So, first of all, we know that Cell and DNA Replication are different just by looking at their names.

Cell Replication is to replicate cells and not DNA whereas DNA replication replicates DNA but not cells.

We do know that DNA resides inside Cells what we call eukaryotes.

So, in short, no, they are different things.

Cheers!

They’re connected but still different things. The cell cycle is the the process leading up to the cell actually dividing and the dna replication. So in the cell cycle, first you have the “resting phase” where the cell isn't dividing and is basically just kinda there. Then it goes into the interphase. First the cell grows (“Gap 1”) then synthesis happens which is where dna replication happens. Then the cell grows some more (“Gap 2”). Then the cell goes through mitosis which is where the cell stops growing and divides. Causing the cells to multiply. And DNA replication, which happens during synthesis. This is where a 2 pieces of identical dna are made from one dna molecule.

Jack and dwayne are preparing for their school s winter bake sale. They have made 318 Brownies. They plan on placing 3 brownies each into small bags to sell. how many bags will they need?

Answers

Do 318 divided by 3

106 bags needed to pack all the brownies.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jack and Dwayne made 318 Brownies.

Each small bag contain 3 Brownies.

So, the number of bags required

= 318 / 3

= 106 bags

Hence, 106 bags needed.

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Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?

Answers

The best interest rate which banks can charge a customer is the prime rate.

His new balance is $12,735.291[tex]\overline 6[/tex]

Reasons:

The Annual Percentage Rate, APR = Prime + 5%

∴ APR = 10% + 5% = 15%

[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]

The balance on June 1 = $2,550

Daily balance, June 1 — 3 = $2,550 × 3 = $7,650

June 4 borrowed $5,300

The new unpaid balance = $2,550 + $5,300 = $7,850

Daily balance from June 5 — 8 = $7,850 × 3 = $23,550

Chris made payment on June 9

Unpaid balance = $7,850 - $800 = $7,050

Daily balance from June 9 — 16= $7,050 × 8 = $56,400

June 17 borrowed $5,600

Unpaid balance = $7,050 + $5,600 = $12,650

Daily balance June 17 — 30 = $12,650 × 14 = $177,100

Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700

[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]

Finance charge = Average daily balance × Periodic rate

Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]

New balance = Cash advance + Credits and payment + Previous balance + Finance charge

New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]

= $12,735.291[tex]\overline 6[/tex]

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https://brainly.com/question/1420581

Find the number that makes the ratio equivalent to 2:4
16:

Answers

Answer:16:32
Step by step:no

A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.

Answers

Answer:

Step-by-step explanation:

Perimeter = P = 4a where a is each side of square

P = 4(353) = 1412

Area = a^2 where a is each side

A = (353)^2 = 124,609

Anyone for a brainly help me out

Answers

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.

Answers

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

Please help and no links!!!!

Answers

Answer: 18

Step-by-step explanation:

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