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Sergeu [11.5K]
3 years ago
13

Marjorie needs to calculate how much water a cylindrical tank will hold. The tank is 9 feet high and has a diameter of 5 feet. H

er work is shown below. Step 1: Step 2: Step 3: Step 4: cubic feet What error did Marjorie make when calculating the volume of the tank?
Mathematics
2 answers:
aniked [119]3 years ago
8 0

Answer:

The volume of the cylindrical tank is 176.625 cubic feet.

Step-by-step explanation:

Given : The tank is 9 feet high and has a diameter of 5 feet.

To find : Marjorie needs to calculate how much water a cylindrical tank will hold ?

Solution :

The volume of a cylinder is V=\pi r^2 h

The diameter is d=5 feet

The radius is r=\frac{d}{2}

r=\frac{5}{2}=2.5 feet.

The height is h=9 feet.

Substitute the value in the formula,

V=3.14\times (2.5)^2\times 9

V=3.14\times 6.25\times 9

V=176.625

The volume of the cylindrical tank is 176.625 cubic feet.

xenn [34]3 years ago
3 0

Answer:

Option B, "In step 2, she calculated 2.5 squared incorrectly."

Step-by-step explanation:

She got the formula correct, but when she multiplied 2.5 squared, she wrote 5, but the correct answer is 6.25. Thus, the correct answer is option B

Hope this helped :)

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Solve for the variable a D =a+b-c/3
yuradex [85]
Hey there,
solving for a is just like you think of all other letter as a constant
i.e the only variable is a
so you need to subtract b as a start
      d=a+b-c/3
-b             -b
=============

    -b+d=a-c/3                now it's time to add c/3 (isolate a by itself in one side)

     -b+d=a-c/3
+c/3         +c/3
==============
c/3-b+d=a

Hence you have solved for a




4 0
3 years ago
PLS HELPPPP equation of the line that is parallel to the line y − 3x = 4 and passes through the point (0, −3)
Volgvan

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 3x = 4 ( add 3x to both sides )

y = 3x + 4 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = 3x - 3 ← equation in slope- intercept form

8 0
3 years ago
the ratio of sallys height is 7:8. if the sum of their heights is 90 inches. how tall are sally and jack?
pickupchik [31]

Answer:

Sally is 42 in. tall, and Jack is 48 in. tall.

Step-by-step explanation:

There are some words missing in the problem.

Perhaps the problem was meant to read:

"The ratio of Sally's height to Jack's height is 7:8. If the sum of their heights is 90 inches, how tall are Sally and Jack?"

Solution:

The ratio of the heights is 7:8.

Sally could measure 7 inches and Jack 8 inches, but then when you add the heights, 7 in. + 8 in. = 15 in. which is not 90 inches.

If you multiply both numbers in a ratio by the same number, the new numbers are still in the same ratio.

Multiply 7 and 8 by 2. You get 14 and 16. Maybe Sally is 14 in. tall and Jack is 16 in. tall. Add the heights, 14 in. + 16 in. = 30 in. This is also not 90 in.

We can keep on guessing what number to multiply by 7 and 8 by so their sum is 90, but we can use algebra to write an equation and not have to go through many guesses.

There is a number, x, that when you multiply 7 and 8 by x, the sum of the products is 90. We don't know what x is, but we can write an equation and solve for x.

The numbers in the ratio are 7x and 8x.

7x and 8x are still in the ratio 7:8.

Now we add the numbers 7x and 8x and set the sum equal to 90. Then we solve for x.

7x + 8x = 90

15x = 90

x = 6

We get x = 6. Now we know we need to multiply both 7 and 8 by 6 to get the heights we need.

7 in. * 6 = 42 in.

8 in. * 6 = 48 in.

Check: 42 in. + 48 in. = 90 in.

Answer: Sally is 42 in. tall, and Jack is 48 in. tall.

7 0
3 years ago
15 + 3t - 5 - 8t what is the ANSWER to this
Vikki [24]
<span><span><span>15+<span>3t</span></span>−5</span>−<span>8t</span></span><span>=<span><span><span><span><span>15+<span>3t</span></span>+</span>−5</span>+</span>−<span>8t</span></span></span>Combine Like Terms:<span>=<span><span><span>15+<span>3t</span></span>+<span>−5</span></span>+<span>−<span>8t</span></span></span></span><span>=<span><span>(<span><span>3t</span>+<span>−<span>8t</span></span></span>)</span>+<span>(<span>15+<span>−5</span></span>)</span></span></span><span>=<span><span>−<span>5t</span></span>+10</span></span>Answer:<span>=<span><span>−<span>5t</span></span>+<span>10</span></span></span>
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3 years ago
PLZZZZZZ HELP I DON'T WANNA GET IT WRONG
prohojiy [21]

Answer:

She will save $5.25

Step-by-step explanation:

21 x 25% = 5.25

3 0
3 years ago
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