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Sauron [17]
3 years ago
5

Three ounces of broiled ground beef contains 245 calories. Is this the number of calories directly or inversely proportional to

the number of ounces? Explain your reasoning and write a formula for the proportion. How many calories are there in 4 ounces of broiled hamburger?
Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

The number of calories are directly proportional to the number of ounces.

Step-by-step explanation:

We can relate these values as:

Let x be the calories in 4 ounces of broiled hamburger.

\frac{3}{245} =\frac{4}{x}

=> 3x=4\times245

=> 3x=980

Dividing by 3 on both sides;

x = 327 approx

We can see that 4 ounces contain 327 calories.

Per ounce will have 327/4=81.75 calories.

As the quantity of hamburger increases, the calories count also increases.

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Gwar [14]

Answer:

2x + 6 = 30

hope this helps

4 0
3 years ago
onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calcula
earnstyle [38]

Answer:

1250 m²

Step-by-step explanation:

Let x and y denote the sides of the rectangular research plot.

Thus, area is;

A = xy

Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.

Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;

2x + y = 100

Thus, y = 100 - 2x

Since A = xy

We have; A = x(100 - 2x)

A = 100x - 2x²

At maximum area, dA/dx = 0.thus;

dA/dx = 100 - 4x

-4x + 100 = 0

4x = 100

x = 100/4

x = 25

Let's confirm if it is maximum from d²A/dx²

d²A/dx² = -4. This is less than 0 and thus it's maximum.

Let's plug in 25 for x in the area equation;

A_max = 25(100 - 2(25))

A_max = 1250 m²

5 0
3 years ago
At an university 70% of the students who attend stay on campus. If 1,380 of the students who attend live off campus, what is the
Alborosie

Answer:

4600

Step-by-step explanation:

We can write a proportion to find the total amount who attend university using the information given. A proportion is two equivalent ratios set equal to each other. Since 70% live on campus, then 30% live off campus and we are told that number is 1,380.

\frac{30}{100}=\frac{1380}{y}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

30y=100(1380)

30y=138000

y=4600.

There are 4600 students who attend the university.

7 0
3 years ago
About 36,100,000 households in the U.S. have cats and about 43,300,000 households have dogs. About how may more households dogs
Svetllana [295]
Theres about a 7,200,000 difference between household dogs vs household cats 
5 0
3 years ago
–9x + 9y = 9<br> y = –7<br><br> (<br> , <br> )
Y_Kistochka [10]

Answer:

x=-8

(-8,-7)

Step-by-step explanation:

–9x + 9y = 9

–9x + 9(-7) = 9 (y=-7)

-9x-63=9

Both side +63

-9x=63+9

-9x=72

Both side divide   -9

x=-8

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6 0
3 years ago
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