Jackie runs and rides her bike. She runs 6 miles an hour. She bikes 18 miles an hour. Last week she ran and bikes a total of 216 miles. It took her 16 hours. How many hours did Jackie run and bike last week. Show your work

Answers

Answer 1

Answer: she bikes for 10 hours and runs for 6

Step-by-step explanation: suppose that x equals the amount of hours she runs and y equals the amount of hours she bikes.

6x+ 18y=216

x+y=16

(This is your system of equations)

(Starting with the second equation, x+y=16)

y=-x +16 (move x to the other side by transposition)

Now that you have something that equals Y you plug it in to the other equation:

6x+18(-x+16)=216

(Start solving)

6x-18x+288=216 (used distributive property)

-12x+288=216 (Combine like terms)

-12x=-72 (use transposition again)

x=6 (divide to get x by itself)

Now you plug in the value of x into your equation for the value of “y”, y=-x+16,

Y=-6+16 (plugged in the value of x)

Y=10 (solved the equation -6+16)


Related Questions

5x+10=115 what is the value of x​

Answers

X = 21

Hope this helped :)

explain step by step ​

Answers

Answer:

D

Step-by-step explanation:

(54-4)(54+4)
(54)^2 -54(4) +54(4) -(4)^2
54^2+0-4^2
54^2-4^2
D is the answer

what do mathematicians do after a snowstorm

Answers

mathematicians make snow angels

can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.

Also put two of these words in it Although or so unless.

40 points

Answers

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

pleAseeeeeeeeee can someone help me

Answers

Answer:

102.4

Step-by-step explanation:

hope that helps beautiful ;-)

i believe 102.4 is the answer

Find the sum.
(7x® + 2x5 – 3x² + 9x) + (5x + 8x? – 6x² + 2x – 5) =

Answers

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

What is the value of x in the figure?

Answers

The value of x is 27

Please help me with this first answer gets brainliest

Answers

Answer:

multiply both sides by 17

your supposed to do the opposite of the symbol given

Step-by-step explanation:

A graph of a system of two equations is shown. What is the solution of the system?

Answers

Answer:

x = 1

y = 2

Step-by-step explanation:

the intersecting point is (1,2)

Jamal throws a bean bag into the air. This graph shows the height of the bean bag, h, in feet after t seconds.

The graph shows a parabola which opens downwards. The horizontal axis is labeled t and ranges from zero to two. The vertical axis is labeled h and ranges from zero to fourteen. The curve begins at zero, midway between four and six, then moves upwards until a point midway between zero point five and one, fourteen, then moves downwards until stopping at the t-axis at a point between one point five and two, zero.

What is the meaning of the t-intercept?


The bean bag is released when t equals zero.


The bean bag is thrown from a height of 5 feet.


The bean bag hits the ground after 1.7 seconds.


The bean bag has a speed of 1.7 feet per second when it lands.

Answers

Answer:

Step-by-step explanation:

solve for x in simplest rational form!! thx!

Answers

Answer:

X = 17

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

x^2 = 15^2 + 8^2 = 225+64=289

x = 17

Write a summary of how to get the area of a parallelogram.

Answers

Answer:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

I hope it's helpful!

What's the rate of (x-1)*6-100

Answers

^^^ correct answer I checked!

Can someone help me, please?

Answers

Answer: The slope is 2/3.

Step-by-step explanation: From (-1,6) to (-7,-3), the x goes up 6, and the y goes down 9. This makes the fraction -6/9. This would reduce to -2/3, but the direction the slop is headed is upwards to the right, meaning it's a positive slope.

Hello im in 8th grade and I need to get my grades up so anyone know the answer to
-12 minus 12x = 36
work also needs to be shown if possible thank you​

Answers

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

Ill give u brainliest if you help me tyy

Answers

Answer:

10

Step-by-step explanation:

i just kno it if it's not 10 it -11 okkkkkk

= -2x³ + x² + 2x - 6
-2(-2)³ + (-2)² + 2(-2) -6

= 16 + 4 -4 - 6
= 16-6 = 10

Question Progress
Homework Progress
Mike sells computers.
The table shows how many he sold each quarter over a three-year period.
Quarter 1 Quarter 2 Quarter 3 Quarter 4 TOTAL
2015
12
9
21
25
2016
15
10
17
19
2017
8
5
23
35
TOTAL
a) Complete the table.
b) In which year did he sell the most computers?
c) In which quarter did he sell the least computers?

Answers

Answer:

no clue

Step-by-step explanation:

lol

Answer:

b) 2017

c) Quarter 2

Step-by-step explanation:

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca

$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes

and bottles of water.

a. Choose variables for the two unknown quantities in the problem and tell wha

each variable represents.

b. Use the variables you chose in problem 3a to write an equation for the amour

of money Mr. Lincoln spends.

c. Use the variables you chose in problem 3a to write an equation for the numbe

of drinks Mr. Lincoln buys.

d. Solve the system of equations. How many packs of juice boxes and how many

packs of water does Mr. Lincoln buy? Show your work.

SOLUTION

my

Answers

Answer:

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

Multiply (1) by 6 and (2) by 3

30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

A super train traveled 420 miles in 3 hours. If it maintain the same speed, how far could the train travel in 16 hours?

Answers

Answer:

We conclude that the train can travel 2240 miles in 16 hours.

Step-by-step explanation:

Given that a  super train traveled 420 miles in 3 hours.

Distance covered = 420 milesTime taken = 3 hours

Step 1 of 2

Determine distance per hour

Important Tip:

The distance per hour can be determined by dividing the distance covered by the time taken.

Distance per hour = Distance Covered / Time taken

              = 420 / 3

              = 140 miles per hour

Step 2 of 2

Determine the distance traveled in 16 hours

We already know that a super train travels 140 miles per hour. In other words, the speed of the super train is 140 miles per hour.

Important Tip:

To determine the distance covered in 16 hours, all we need to do is to multiply the distance covered per hour i.e. 140 with the total number of hours i.e. 16.

Distance traveled in 16 hours = Distance per hour × 16

                                                 =  140 × 16

                                                 = 2240 miles

Conclusion:

Therefore, we conclude that the train can travel 2240 miles in 16 hours.

If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :​

Answers

Answer:

[tex]16[/tex]

Step-by-step explanation:

Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:

[tex](a^{b}+b^{a})-1[/tex]

[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)

[tex]=(8+9)-1[/tex] (Evaluate exponents)

[tex]=17-1[/tex] (Evaluate expression in parentheses)

[tex]=16[/tex] (Simplify)

Hope this helps!

Answer:

16

Step-by-step explanation:

Given

([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16

Solve the inequality 61 + 14c > 600.​

Answers

Answer:

c > 38.5

Step-by-step explanation:

14c > 600 - 61

14c > 539

c > 38.5

4415525545554258-1482+4858=​

Answers

Answer:

4.415525546*10 to the power of 15

Step-by-step explanation:

Simplify the following radicals. 1. √16 2. √17 3. √18 4. √19 5. √20

Answers

Answer:

Step-by-step explanation:

[tex]1) \sqrt{16}= \sqrt{4*4}=4\\\\\\2) \sqrt{17}[/tex]

This is the simplest form as 17 is a prime number.

[tex]3) \sqrt{18}= \sqrt{2*3*3} = 3 \sqrt{2}\\\\\\4) \sqrt{19}[/tex]

19 is a prime number. so it is the simplest form.

[tex]5) \sqrt{20}= \sqrt{2*2*5}=2 \sqrt{5}[/tex]

sally purchased 24 pencils 1/8 of the pencils are blue 1/6 of the pencils are red how many pencils are either red or blue
A. 17
B.14
C.7
D.4

Answers

Answer:

4

Step-by-step explanation:

Because the common multiple of 6 and 8 is 24 which is the amount of pencils.

1/8 x 3 equals 24 (3 because 3 times 8 gives 24)

1/6 x 4 equals 24 (4 because 4 times 6 gives 24)

what is the slope and y-intercept of y=2x-3

Answers

Answer:

slope=2x, y-intercept=-3

Step-by-step explanation:

When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.

Which of the expressions below have exactly 2 terms? Select all that apply.
A) 3x+6
B) 7y2–8
C) 14−3y
D) 14x2+8x+16

Answers

..........The answer is D

(ONLY TWO CAPITAL LETTERS) Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! URGENT

Answers

Answer:

NI and HN

Step-by-step explanation:

The segments are both marked with a congruency mark.

(a) 50% of 164 (b)75%of 12 (c) 25/2 of 64

help me in these ques

of comparing quantities

Answers

Here goes the answer. Please mark brainliest.

a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach

Answers

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

Ice cream sandwiches are wrapped in white paper before they are put in a box to be sold. How many ice cream sandwiches can be wrapped with 500 square inches of paper?

Answers

Answer:

9.6

Step-by-step explanation:

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