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antiseptic1488 [7]
3 years ago
12

Can someone help me with this equation?

" id="TexFormula1" title="\frac{2x+3}{15} =\frac{9}{10}" alt="\frac{2x+3}{15} =\frac{9}{10}" align="absmiddle" class="latex-formula">

Mathematics
2 answers:
Yuri [45]3 years ago
4 0

\dfrac{2x+3}{15}=\dfrac{9}{10}\qquad\text{cross multiply}\\\\10(2x+3)=(9)(15)\qquad\text{use distributive property}\\\\(10)(2x)+(10)(3)=135\\\\20x+30=135\qquad\text{subtract 30 from both sides}\\\\20x=105\qquad\text{divide both sides by 20}\\\\x=\dfrac{105}{20}\\\\x=5\dfrac{5}{20}\\\\x=5\dfrac{1}{4}\to x=5.25\\\\Answer:\ \boxed{x=5\dfrac{1}{4}=5.25}

Murljashka [212]3 years ago
3 0
Remember that when you bring ÷ to the other side of the equal sign it'll become multiply instead

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Answer: F(-0.5,-0.5)

Step-by-step explanation:

A(3,3)      H(-4,-4)

The coordinates of the midpoint of the diagonal AH F(x,y):

\displaystyle\\F(x,y)=(\frac{3+(-4)}{2} ,\frac{3+(-4)}{2} )\\\\F(x,y)=(\frac{3-4}{2} ,\frac{3-4}{2})\\\\F(x,y)=(\frac{-1}{2},\frac{-1}{2})\\\\F (x,y) =(-0.5,-0.5)

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What is 2 1/4 as an improper fraction​
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3 years ago
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Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no mor
kirill [66]

Answer:

A.) A person weights 80 kg can consume Haddock fish = 149 grams

B.) A person weights 80 kg can consume Swordfish fish = 8 grams

C.) A person weights 80 kg can consume Tuna fish = 23 grams

D.) A person weights 80 kg can consume Snapper fish = 50 grams

Step-by-step explanation:

Given - Mercury is a naturally occurring metal that can be harmful to humans. The current recommendation is for humans to take in no more than 0.1 microgram for every kilogram of their weight per day. Fish generally carry high levels of mercury, although certain fish have higher mercury content than others. Fish, however, are healthy sources of many other nutrients, so nutritionists recommend keeping them in the human diet. The figure below shows the average mercury content of several types of fish.

To find - If a person weighs 82 kg, how much of each fish can they safely consume? round to the nearest gram.

A.Haddock

B.Swordfish

C.Tuna

D.Snapper​

Proof -

Firstly, determine how many micro grams of mercury a person can consume who weighs 82 kilograms.

⇒82 × 0.1 =  8.2 micro grams.

Now,

a.)

For Haddock fish-

It consumes 0.055 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.055

                                              = 149.09 ≈ 149 grams

So,

A person weights 80 kg can consume Haddock fish = 149 grams

b.)

For Swordfish fish-

It consumes 0.995 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.995

                                              = 8.24 ≈ 8 grams

So,

A person weights 80 kg can consume Swordfish fish = 8 grams

c.)

For Tuna fish-

It consumes 0.350 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.350

                                              = 23.43 ≈ 23 grams

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A person weights 80 kg can consume Tuna fish = 23 grams

d.)

For Snapper fish-

It consumes 0.165 micro grams of mercury

So,

A person can consume fish = 8.2 ÷ 0.165

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So,

A person weights 80 kg can consume Snapper fish = 50 grams

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Answer:

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