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vladimir1956 [14]
3 years ago
13

Deion divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. He put 1/8 of a liter into each bottle. How

many smaller bottles did Deion fill?
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

4 bottles

Step-by-step explanation:

Given

Fertilizer = \frac{1}{2}L

Bottles = \frac{1}{8}L

Required

Determine the number of bottles

Represent the number of bottles with N

<em>This implies that N bottles of </em>\frac{1}{8}L<em> fit into </em>\frac{1}{2}L<em> of fertilizer. The relationship between them is:</em>

<em></em>Fertilizer =  Bottles * N

\frac{1}{2}L = \frac{1}{8}L* N

\frac{1}{2} = \frac{1}{8}* N

Multiply through by 8

8 * \frac{1}{2} = 8 * \frac{1}{8}* N

4 = 1* N

4 = N

N = 4

<em>Hence, there are  N = 4</em>

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If a car can drive 62 miles on 3 gallons of gas, how many gallons of gas will it use to travel 231 miles?
aksik [14]

Answer:

11 gallons of gas is needed to travel 231 miles.

Step-by-step explanation:

We can set up a proportion for this problem.

<em>For every 62 miles, you use 3 gallons of gas. </em>

\frac{62}{3}*\frac{231}{?}

Now, let's cross multiply.

\frac{693}{62} ≈ 11

So, you will need about 11 gallons of gas to travel 231 miles.

8 0
3 years ago
Describe the correct error -1/4 divided by 3/2=-4/1 multiplied by 3/2= -12/2=-6
Rom4ik [11]
I guess the error is in the calculus.
-1/4 divided by 3/2:
(-1/4)/(3/2): When dividing 2 fractions, its answer is equal to the first fraction multiplied by the inverse of the second.
(-1/4)/(3/2) = -1/4 * 2/3 = -2/12
So -1/4 divided by 3/2 is different from -4/1 multiplied by 3/2.
-1/4 divided by 3/2 = -1/4 multiplied by 2/3.

Hope this Helps! :)
6 0
3 years ago
This is a little difficult for me! Can someone explain?
ch4aika [34]

Answer:

We can write sin 21° as 1200 / x and also 0.36 so we can write:

1200 / x = 0.36

1200 = 0.36x

x = 1200 / 0.36

x ≈ 3333 ft

5 0
3 years ago
Travis has decided to budget his spending money. He can spend no more than $143.15 every month. He has also decided to spend 5.2
vivado [14]
143.15=5.2x is the answer to the problem
6 0
3 years ago
Fill in the blank. In the triangle below, x = ___. Round your answer to two<br> decimal places.
scZoUnD [109]

Answer:

x ≈ 37.53

Step-by-step explanation:

To find the value of x, we will follow the steps below:

first, we need to find angle z

z+47° +90° = 180° (sum of interior angle of a triangle)

z + 137° = 180°

subtract 137° from both-side of the equation

Z + 137°-137° = 180° - 137°

Z=43°

angle Z = 43°

We can now use the sine rule to find the value of x

Using the sine rule

\frac{sin Z}{z} = \frac{sin X}{x}

where Z and X are angles and z and x are side length

from the diagram given,

X = 47°   and we find Z to be 43°

side z = 35      

we can now proceed to substitute the values into the formula

\frac{sin 43}{35}  = \frac{sin 47}{x}

cross-multiply

x sin 43° = 35 sin 47°

divide both-side of the equation by sin 43°

x sin 43° /sin 43°= 35 sin 47° /sin 43°

x ≈ 37.53  to two decimal place

3 0
3 years ago
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