Before her hike, Lara filled her water bottle with 4 cups of water. During the hike, she drank about 10 fluid ounces every hour. Afterward, she had about 12 fluid ounces left. How many hours did she hike?

Answers

Answer 1

Answer:

Lara hiked for 2 hours.

Step-by-step explanation:

1 cup = 8 ounces

4 cups = 32 ounces

32 - 10h = 12

10h = 20

h = 2

Answer 2

Lara hiked for 2 hours.

A cup contains 8 fluid ounces so the total number of ounces that Lara had before the hike was:

= Number of cups x fluid ounces per cup

= 4 x 8

= 32 fluid ounces

After the hike, Lara was left with 12 fluid ounces which means that she consumed:

= 32 - 12

= 20 fluid ounces

She drank 10 fluid ounces per hour so the total number of hours she hiked were:

= Number of fluid ounces consumed / Fluid ounces per hour

= 20 / 10

= 2 hours

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Related Questions

If three fifths of the 45 students in the math class do not like working with
fractions, how many of the students like working with fractions?

Answers

Answer:

18

Step-by-step explanation:

Two fifths like working with fractions.

2/5x45/1=90/5

Hope I helped!

what is the decimal expansion for 7 over 9

Answers

Answer:

0.77777777......

Step-by-step explanation:

You divide them. Hope I helped!

Please mark Brainliest!!!!

2. Sara decided to look at new and used vans. Sara found a used van for $3000. A new van is $1500, so what percent of the price of a new van does Sara pay for a used van? Round your answer to the nearest whole number if necessary.
help me please

Answers

Answer:

50%

Step-by-step explanation:

Half of 3,000 is 1,500 so she would be paying half, or 50%

you have a bill of $56.40. find a 15% tip?​

Answers

Answer:

$8.46

Step-by-step explanation:

15%=0.15

56.40(0.15)

8.46

The correct answer would be $8.46

2p(9p − 1) pls help will give brainiest

Answers

Answer:

18p^2-2p

Step-by-step explanation:

You need to distribute

2*9= 18, p*p= p^2 so 18p^2

Then

2*-1= -2 and you need to include the p so -2p

Answer: 18p²-2p

Working:

• We multiply everything inside the brackets by what is outside the brackets
- So, we multiply 9p - 1 by 2p
- To do 9p x 2p we multiply the coefficients first (the number before the letter), which gives us 18 (9 x 2)
- Then we multiply the letters, p x p which gives us p²
- Then add the two things together which gives us 18p²

• Then we do -1 x 2p, which we do in the same way as before
- This gives us -2p
- Using both of these we put them back together which gives us:

• 18p² - 2p

{1.2.3.4.5} set builder

Answers

Step-by-step explanation:

A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.

Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C

Answers

Answer:

m∠A = 60°, m∠B = 80°, m∠C = 40°

Step-by-step explanation:

Since BD = DC, the triangle BDC is isosceles, so

m∠C = m∠2

Having m∠BDC = 100°, we can find m∠C

m∠C = 1/2(180° - 100°) = 1/2(80°) = 40°

Finding angle B

m∠B = m∠1 + m∠2 = 2*m∠2= 2*40° = 80°

Finding angle A

m∠BDA = 180° - m∠BDC = 180° - 100° = 80°m∠A = 180° - (m∠1 + m∠BDA) = 180° - (40° + 80°) = 180° - 120° = 60°

Answer:

m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.

Step-by-step explanation:

heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, while profits increased $30 million per year. Select the correct graph of this function. (2 points)

A)There is a graph of a line that has a y intercept that is approximately $80 million and passes through the point of approximately x equals 2 years and y equals $140 million.

B)There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.

C)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 2 years.

D)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 0.6 years.

Answers

Answer:

I am not really good at this but...if I had to choose the ones that make sense

A and B

Step-by-step explanation:

Your are incresing the amount is going up, so if you go backwards you woild have to the negatuves.

Then again I woild not trust my math for the second answer cause I am no good at math.

What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?

Answers

Answer:

3.3 mph

4.84 ft/s

Step-by-step explanation:

Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.

what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship

Answers

Answer:

Vertical Angles...............

Find the measures of the angles.
(8x-1)º
(3x + 4)º
(3x + 9)
°
95, 40, 45
90, 25, 65
80, 52, 48
70, 68, 42

Answers

Answer:

answer is - 95, 40, 45

Step-by-step explanation:

Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:

(8x-1)+(3x + 4)+(3x + 9) = 180

=> 14x +12 = 180

=> 14x = 180-12

=> x = 168/14 = 12

now putting value of x = 12

we get---

8*12 -1 = 96-1 = 95

3*12 + 4 = 36+4 = 40

3*12 + 9 = 36 + 9 = 45

( Answer )

What property was used to solve the equation?
O Property of opposites
O Division property of equality
* Addition property of equality
O Multiplication property of equality

Answers

Answer:

Multiplication sorry I late

Step-by-step explanation:

Answer: Multiplication property of equality

Solve for x: 5x + 15 = 28​

Answers

Answer:

[tex]x=\frac{13}{5}[/tex]

Step-by-step explanation:

In order to get the answer to this question you need to subtract and divide on both sides.

[tex]5x + 15 = 28[/tex]

Minus 15 on both sides:

[tex]28-15=13[/tex]

[tex]5x=13[/tex]

Divide 5 on both sides:

[tex]13\div5=\frac{13}{5}[/tex]

[tex]x=\frac{13}{5}[/tex]

Hope this helps.

What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5

Answers

Answer:y = -0.6x + 5

Step-by-step explanation:

Answer:

yessir the one on top is right btw

Step-by-step explanation:

hope this helped

What is the missing side? Round your answer to the nearest hundredth if necessary .

Answers

Answer:

20......................

Solve this equation.
[tex]\frac{x + 4}{6x} = \frac{1}{x}[/tex]

A. x = -2
B. x = 0, -2
C. x = 2
D. x = 0, 2

Answers

The answer is C. X=2

f(x) = x g(x) = 1


What is the domain of (
g
f
) (x)?

Answers

Answer:

[tex]x\neq 0[/tex]

Step-by-step explanation: the domain[tex]0[/tex]⇒[tex]x{}[/tex]∈[tex]R[/tex]-{0}

pls hurry ill make brainliest!


The tape diagram represents an equation.
20
9
9
Write an equation to represent the tape diagram.
Choose 1 answer:
А
20 = 9:2
B
20 = 2g
Find the value of g that makes the equation true.
9

Answers

Answer:

B.

g= 10

Step-by-step explanation:

What value(s) of x will make x2 = 36 true?

Answers

Answer:

x²=36

x²=6²

equating both squares

x=6

so, b is correct answer

The solution of the given quadratic equation is x=6 and x=-6.

The given equation is x²=36.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given equation can be solved as follows

Now, x²=36

Square root on both the sides, we get

x=±√36

⇒ x=±6

So, x=6 and x=-6

Hence, the solution of the given quadratic equation is x=6 and x=-6.

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In a survey of 2,300 people who owned a certain type of​ car, 1,150 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

65%

Step-by-step explanation:

To find percentage, take the number out of the whole number, and divide it by the whole number. In this case, 1495 out of 2300 said they are satisfied. To find the percent, we have to do 1495/2300=0.65, which is 65%.

In need of help for geometry

Answers

Yes me to I need all the help in Geometry

what is a square of 1.5cm ​

Answers

Answer:

a square with 1.5 cm width and height

Answer:

2.25

Step-by-step explanation:

1.5 * 1.5 = 2.25.

One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open

Answers

Answer:

If the garage is robbed, the probability the doors ware left open is 0.625.

Step-by-step explanation:

Denote the events as follows:

X = garage doors open

Y = something is stolen

The information provided is:

P (X) = 0.25

P (Y|X) = 0.05

P (Y|X') = 0.01

Compute probability that the garage is robbed as follows:

[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]

Compute the probability the doors ware left open given that the garage is robbed as follows:

[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]

Thus, if the garage is robbed, the probability the doors ware left open is 0.625.

Ariel and her friends purchased some drinks and pizza slices at the snack bar. Each drink cost $2, and each pizza slice was $4. They purchased 9 items and spent a total of $28. Write a system of equations to represent this situation, using d to represent the number of drinks, and p to represent the number of pizza slices

Answers

Answer:

[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]

Step-by-step explanation:

We are letting d represent the number of drinks and p represent the number of pizza slices.

We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:

[tex]2d+4p=28[/tex]

We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:

[tex]d+p=9[/tex]

Therefore, our system of equations is:

[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]

if l || m,find the value of x, (8x + 20) (11x-31)

Answers

Answer:

x=17

Step-by-step explanation:

8x+20=11x-31

We simplify the equation to the form, which is simple to understand  

8x+20=11x-31

We move all terms containing x to the left and all other terms to the right.  

+8x-11x=-31-20

We simplify left and right side of the equation.  

-3x=-51

We divide both sides of the equation by -3 to get x.  

x=17

Answer:

17

Step-by-step explanation:

8x + 20 = 11x - 31

-8. -8

20 = 3× - 31

+31. +31

51 = 3x

/3. /3

x = 17

Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D divides in the ratio 4 : 5, the coordinates of point D are .

Answers

Answer:10,-4 and 58/9,-2

Step-by-step explanation:

Plato users

Please help ASAP
Complete the explanation to determine whether each statement is always, sometimes, or never true. If line d is perpendicular to line e, then the slope of line e is 0.

If line d is vertical, then line e is (parallel, vertical, or horizontal) and has a slope of 0. The statement is (always, sometimes, or never) true.

Answers

Answer:

Step-by-step explanation:

We know that, two lines with same slope are parallel.

Thus two lines with same positive slopes are parallel.

⇒Two lines with positive slopes are sometimes parallel.

Two lines with same slope can never be perpendicular to each

other as they must be parallel.

Consider the following sequence of successive numbers of the 2k -th power: 1, 2²^k , 3²^k , 4²^ k , 5²^k , ... Show that the difference between the numbers in this sequence is odd for all k ∈ N.

Answers

Answer:

The difference between two consecutive numbers in this sequence would be something like:

(2n + 1)^(2*k) - (2n)^(2k)

(or in the other order, but is essentially the same)

where n is an integer number.

Then:

2*n is an even number

2*n + 1 is an odd number.

(2n)^(2k) = 2*(2^(2k-1)*n^(2k)) this will be even for any natural number k.

(2n + 1)^(2k)

Let's suppose that k = 1.

Then we have:

(2n + 1)^(2) = (2n + 1)*(2n + 1) = (2n)^2 + 4n + 1 = 2*(2n^2 + 2n) + 1

If (2n^2 + 2n) is an integer (and it is) we can rename it as N

(2n + 1)^(2) = 2*N + 1

It is still odd.

Now if k = 2, we will have:

(2n + 1)^(2*2) = (2n + 1)^(4)

And using what we found above, we can rewrite this as:

(2*N + 1)^2

And we know that this will be odd.

Then we can already see that:

(2n + 1)^(2k) will be odd for any value of k (where k is a natural number)

Then:

(2n + 1)^(2k) -  (2n)^(2k)

Is the difference between an odd number and an even number, and this will always be an odd number.

which value represents solutions to cos(π/4-x) = √2/2sinx, where x [0, 2π)​

Answers

The solution of the trigonometric equation  are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

Trigonometric equation:

Given equation are,

           [tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx[/tex]

We know that,  [tex]cos(A-B)=cosA cosB+sinAsinB[/tex]

         [tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

Hence, The solution of the trigonometric equation  are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

Learn more about the trigonometric equation here :

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Use the diagram to solve. What is 260% of 6? Percent Total 100% 100% 20% 20% 20% 260% 3.6 9.6 15.6 21.6

Answers

Answer:

To find this, multiply 6 by the decimal value of the percent.

6*2.6=15.6

Final answer: 15.6

Step-by-step explanation:

Answer:

15.6 or c

Step-by-step explanation:

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