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Irina-Kira [14]
3 years ago
7

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.

Mathematics
1 answer:
NikAS [45]3 years ago
5 0

Answer:You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

Step-by-step explanation:

The complete question is

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain

step 1

Find the length side of the cube-shaped case

we know that

The volume of the cube is equal to

where

b is the length side of the cube

we have

substitute

solve for b

step 2

Convert feet to inches

we have

step 3

Compare the dimensions of the table with the dimensions of the cube-shaped case

30 > 10

The length of the table is greater than the length side of the cube

18> 10

The width of the table is greater than the length side of the cube

therefore

You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

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I’m confused on this answer anyone know it?
slamgirl [31]

Answer:

y=\frac{26}{7},\:x=-\frac{15}{7}

Step-by-step explanation:

\begin{bmatrix}4x+5y=10\\ -2x+y=8\end{bmatrix}\\\\\begin{bmatrix}-2\cdot \frac{10-5y}{4}+y=8\end{bmatrix}\\\\

-5+\frac{7y}{2}=8\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\-5\cdot \:2+\frac{7y}{2}\cdot \:2=8\cdot \:2\\-10+7y=16\\y=\frac{26}{7}\\

\mathrm{For\:}x=\frac{10-5y}{4}\\\mathrm{Subsititute\:}y=\frac{26}{7}\\x=\frac{10-5\cdot \frac{26}{7}}{4}\\\\

x=-\frac{15}{7}\\

7 0
3 years ago
Determine whether the data described are qualitative or quantitative:The weights of subjects in a clinical trial of a new drug.
Lynna [10]

Answer:

It is quantitative because they are looking at the weights which are numbers.

3 0
3 years ago
In the triangle,sum of two angles is 90° which is the measure of the third angle. Also,the difference of these 2 angle is 10°, f
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8 0
3 years ago
a silo is shaped like a cylinderwith a cone on top. the radii of the bases of the cylinder and cone are both equal to 8 feet. th
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Answer:

5430.85 square feet

Step-by-step explanation:

Height of the cylindrical part of the cilo   = 25 feet

radius of the base cylindrical part of cilo = 8 feet

Now volume of cylindrical part of cilo =\pi r^{2} h

Volume of cylindrical part of cilo = \pi(8^{2})25 = 1600\pi square feet

Now,

Height of the conical part of cilo = 6 feet

Radius of the conical part of cilo = 8 feet

Volume of the conical  part of cilo = \frac{1}{3}\pi (8^{2})6= 128\pi square feet

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3 0
3 years ago
Jackson picked apples for his family. He picked a total of 8 1/4 pounds. He took 3 3/4 pounds to his aunt and 2 3/8 to his mothe
GalinKa [24]

Answer: 2 1/8 pounds of apples were left to give his grandmother.

Step-by-step explanation:

He picked a total of 8 1/4 pounds. Converting 8 1/4 pounds to improper fraction, it becomes 33/4 pounds.

He took 3 3/4 pounds to his aunt. Converting 3 3/4 pounds to improper fraction, it becomes 15/4 pounds.

He also took 2 3/8 to his mother. Converting 2 3/8 pounds to improper fraction, it becomes 19/8 pounds.

The total number of apples that he gave to his aunt and mother is

15/4 + 19/8 = 49/8 pounds

The number of pounds of apples left to give his grandmother is

33/4 - 49/8 = 17/8 = 2 1/8 pounds

7 0
3 years ago
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