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Marina86 [1]
3 years ago
12

The water level in Rocky's lake changes on an average of -7/16 every 3 years. Based on the rate of the level, how much will the

water level change after a year
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

-7/ 48

Step-by-step explanation:

Given that:

Average change in water level per 3 years = - 7/16

This means the water level decreases by - 7/16 on average every 3 years

The change in water level after a year will be ;

-7/16 = 3

x = 1

Cross multiply ;

3x = - 7/16

Divide both sides by 3

x = -7/16 ÷ 3

x = - 7/16 * 1/3

x = - 7 / 48

Hence, water level will change by - 7/48 after a year.

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In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue
ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}

Now let's solve for x:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

8 0
3 years ago
Help me with my review please
Greeley [361]

Answer:

GHF = EDF

Step-by-step explanation:

Those two tringles are the only even triangles.

4 0
3 years ago
Factor the polynomial. 7x2 + 68xy - 20y2 A) (7x - 2y)(x + 10y) B) (7x - 10y)(x - 2y) C) (7x + 10y)(x + 2y) D) (7x + 2y)(x - 10y)
Otrada [13]
For this case we have the following polynomial:
 7x2 + 68xy - 20y2
 Factoring we have:
 (7x-2y) (x + 10y)
 We verify the factorization:
 7x2 + 70xy - 2xy - 20y2
 Rewriting we have:
 7x2 + 68xy - 20y2
 Therefore, the factorization is correct.
 Answer:
 
A) (7x - 2y) (x + 10y)
5 0
3 years ago
Solve the equation below. Simplify if necessary.
SpyIntel [72]

Answer:

15 1/6

Step-by-step explanation:

change -8 2/3 into an improper fraction = -26/3

-4/7v = -26/3

cross-multiply:

3(-4v) = (-26)7

-12v = -182

v = 182/12

v = 15 1/6

4 0
3 years ago
Solve 2 + 3et+ 2 = 7 for x.
Evgen [1.6K]
It’s the answer 6x2=-7
5 0
3 years ago
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