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3 years ago

Solve for the variable 7/28 = 25/?

1 answer:

7 0

Let x be the unknown number. The equation is going to be 7/28=25/x, now we cross multiply. 7*x=25*28, 7x=700, divide both sides by 7 and you should get 100, So, x=100 and 7/28=25/100

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A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.

f) $f(t)=16.2−0.062t =12$

$0.062t = 16.2-12 = 4.2$

$t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7$ years to 1 decimal place.

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3 years ago

there are 10 million bacteria per square centimeter of coral in a coral reef. the coral reefs near the Hawaiian islands cover 14

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4000000000
multiply them

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3 years ago

2. Find mzR and mzS.<br> 89°<br> R<br> 157 T<br> Р

baherus [9]

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

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3 years ago

Part B

Georgia [21]

Answer:140

Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer

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3 years ago

Lee wants to gain 10lbs of lean muscle mass. His dietitian suggested the consume 2400 kcal each day and that 25% of his cal come

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Answer:

a) He needs to consume 600 kcal from protein.

b) 22 kcal come from fat.

Step-by-step explanation:

a) Lee needs to consume 2400 kcal each day and 25% of this income should come from protein.

We are going to use percentages to solve this problem, to find out how many kcal from protein he should consume we need to multiply 2400 by .25.

2400 (.25) = 600

Lee needs to consume 600 kcal from protein.

b) A cup of chili contains 220 kcal If 15% of kcal come from fat how many kcal come from fat?

We are going to solve this in a similar way.

We should multiply the total amount of kcal by .15 which is the amount of fat calories.

220 (.15) = 33

33 kcal come from fat.

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3 years ago