You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a

Answers

Answer 1

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

Answer 2

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

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Related Questions

Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no

Answers

Yes this is correct using equaivslent angles formula in order to do

A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?

Answers

Answer:

1050miles.

Step-by-step explanation:

since every 2 inches=350 miles, then 6 inches= 3(350miles)

since 6/2=3.

or you can think of it this way:

there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.

350+350+350=1050miles.

-88-3x=-35x-29(x-18)

Answers

Answer:

-88-3x=-35x-29(x-18)

-88-3x=-35x-29x-522

-88-3x=-6x-522

-88=-3x-522

424=-3x

x=10

Hope This Helps!!!

HELP ASAP will give brainliest for answer

Answers

Answer:

This is the answer

x=π/10

Which of the following equations names the same line as -2x – 3y = 5?
A. -4x - 6y = 12
B. -4x - y = 10
C. -6x - 9y = 15
D. 4x - 6y = 15

Answers

Answer:

c

Step-by-step explanation:

_6x -9y =15

_6x÷3=-2x

9y÷3=3y

15÷3=5

so,_2x -3y =5

A scale drawing for a rectangular parking lot measures 5.3 cm by 7.5 cm.

The scale is 2 cm:7 m. What are the width of the actual parking lot, if the

drawing width is 7.5 cm?

Answers

Answer:  26.25 meters

=====================================================

Work Shown:

(2 cm)/(7 m) = (7.5 cm)/(x meters)

2/7 = 7.5/x

2x = 7*7.5

2x = 52.5

x = 52.5/2

x = 26.25

7.5 cm on paper corresponds to 26.25 meters in real life.

side note: 26.25 meters = 86.122 feet approximately

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Answers

hello there! you did not put any question so i would not be able to answer your question :(

Use the linear combination method to solve the system of equations PLZ HELP I WILL GIVE BRAINLIEST AND ITS WORTH A LOT OF POINTS, PLZZZZZZZZZZZZZZZZ
2x-3y=13
2x+4y=-8

Answers

2x-3y=13...(1)
2x+4y=-8...(2)

Multiply equation 2 by -1 to eliminate x

2x-3y=13
+ -2x-4y=8
—————
-7y=21
y=-3
Substitute y=-3 into equation 2
2x+4(-3)=-8
x=2

Therefore, the solution to the system is (2, -3)

A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?

Answers

Answer:

140 feet

Step-by-step explanation:

You will need to find the perimeter of the backyard to find how many feet of fencing will be needed

the formula for perimeter is: 2l+2w

So 2 times 30 is 60

with 2 times 40 80

60+80 is 140

Thus you will need 140 feet to cover the backyard

Hope this helps!

Answer:

140 ft

Step-by-step explanation:

Perimeter = 2(l+w)

Perimeter = 2(30+40)

Perimeter = 2(70)

Perimeter = 140

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Answers

MY ANSWER WITH SOLVING STEPS

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1. Which value is the closest to 0.9.997?
a.
1,000
b.
81
C.
10,000
d.
10

Answers

I think the answer would be D. 10 is closest to 0.9997

f the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315
$
315
for rental car expenses. One rental car company charges $55
$
55
per day and $35
$
35
in taxes and fees. They also estimate that they will spend $15
$
15
per day on gas. Gabriela wrote the equation (55d+35)+15d=315
(
55
d
+
35
)
+
15
d
=
315
to determine the number of days the family can rent a car from this company.

How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?

Answers

Answer:

4 days

Step-by-step explanation:

55d+35+15d=315

70d=315-35

70d=280

d=280/70

d=4

A store sells tents,sleeping bags,and campstools.A customer buys a tent, 2 sleeping bags, and 3 campstools for 212$.the price of the tent is 5 times the cost of a campstool.the cost of a sleeping bag is 6$more than the cost of a campstool.find the cost of was just item

Answers

The cost of each campstools, tent and sleeping bag is $20, $100 and $26

let

tent = 1

sleeping bags = 2

campstools = 3

Total cost = $212

tent = t

sleeping bags = s

campstools = c

If

t = 5c

s = c + 6

Total = t + 2s + 3c

212 = 5c + 2(c + 6) + 3c

212 = 5c + 2c + 12 + 3c

212 = 10c + 12

212 - 12 = 10c

200 = 10c

c = 200/10

c = 20

t = 5c

= 5 × 20

= 100

s = c + 6

= 20 + 6

= 26

Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26

Learn more about equation:

https://brainly.com/question/4916384

i really dont know this

Answers

Answer:

your answer is b 8/10 - 5/10

Step-by-step explanation:

Write the equation of the line that passes through the given points.
​(0​,−5​) and ​(9​,−1​)

Answers

Answer:

y=4/9x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-5))/(9-0)

m=(-1+5)/9

m=4/9

y-y1=m(x-x1)

y-(-5)=4/9(x-0)

y+5=4/9(x)

y+5=4/9x

y=4/9x-5

Marvin has read 8% of the novel he started reading last Saturday. Which decimal is equivalent to the percentage of the novel Marvin has read?

Answers

Answer:

0.8 or 0.08 i believe

Step-by-step explanation:

hope this helps!

What is the measure of Zx?
Angles are not necessarily drawn to scale.

Answers

Answer:

This question is straightforward if you find different triangles in the figure itself.

Property of a triangle: All internal angles of a triangle must add up to 180°

Take a look at Triangle DBH.

Method A

Angle BHD = 180°-33°-46° (sum of angles in a triangle)

                   = 101°

Property of angles on a straight line: All angles on a straight line must add up to 180°

Angle x = 180°-101° (supplementary angles)

             = 79°

Method B

Take a look at Triangle DBH.

Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

Angle x = 33°+46°

             = 79°

PLEASE ANSWER ASAP!!!!

Answers

Answer:

68

Step-by-step explanation:

HELP ME PLEASE I NEED HELP WITH THIS

Answers

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

hellllllllllllllllllllppppppppppppppppppppp

Answers

Answer:

Y-intercept: (0, -10)

X-intercepts: (5,0), (1,0)

Axis of symmetry: (3,0)

Step-by-step explanation:

You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.

There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.

By factoring it, you get

-2(x-5)(x-1)=0

If one part of it equals zero, than the whole function equals zero.

So it can be split up like this

(x-5)=0

(x-1)=0

So...

x=5 and x=1 are the the zeros or (5,0) and (1,0)

Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.

if x is the midpoint of AB, then AX=XB?

Answers

Answer:

Yes

Step-by-step explanation:

AX is equal to XB

The graph shows a nonstandard normal distribution curve with
a mean of 59.0 and a standard deviation of 6.7.
Find the area of the shaded region.
.7761
.2177
.3650
.7823

Answers

Using the normal distribution, it is found that the area of the shaded region is of 0.7823.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].

The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64.2 - 59}{6.7}[/tex]

[tex]Z = 0.7761[/tex]

[tex]Z = 0.7761[/tex] has a p-value of 0.7823.

The area of the shaded region is of 0.7823.

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

2+5+8+….+3n-1=n(3n+1)/2

Answers

Answer:

all you do is() first divide then go from left to right answers 4

Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?

Answers

Answer:

if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 0 34 units 0 39 units 0 41 units o 49 units Mark ihis and return Save and Exit​

Answers

Answer:

41

Step-by-step explanation:

a² + b² = c²

9² + 40² = c²

81 + 1,600 = c²

√1681 = √c²

41 = c

The digits from the serial number of a dollar bill are listed below.

6,8,5,8,2,8,5,8

Answers

Answer:

8 occurs most often so the number is 8.

Answer:

The mode is 8.

Step-by-step explanation:

mode means the number that occurs the most in a list.

Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 10% sales? Please explain your answer.........

Answers

Answer:

1500 + x(0.1)=salary

Step-by-step explanation:

Without a sales value, what I'm assuming you want is the equation to find his salary

Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck

so we end up with an equation of 1500 +0.1x=y

Leave a thanks please!

why didnt lawrenece fishburn play morpheus in matrix 4 reddit

Answers

Answer:

I'm confused about your question can you explain?

How i can answer this question

Answers

Answer:

4k+11

Step-by-step explanation:

There you go. Happy to help.

x+y=15
- 2x+5y=-2

solve the system of equations

please answer i’ll name you brainliest

Answers

Answer:

x= 11 and y = 4

Step-by-step explanation:

(solving by elimination)

Multiply the first equation by 2 and multiply the second one by 1.

2(x+y= 15)

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

is now

2x+2y=30

-2x+5y-2

add them together to eliminate x

7y=28

then solve for y

7y=28

[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]

y=4

---

Now you have y. put that back into the original equation for X

---

x+y=15

y= 4 so

x+4=15

x= 15-4

x=11

x=11, y=4

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