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lesantik [10]
3 years ago
12

the total cost of 4 pens and 7 mechanical pencils is $13.25 the cost of each pencil is $0.75 write an equation that could be use

d to find the cost of a pen
Mathematics
1 answer:
balu736 [363]3 years ago
7 0
4x+7y=$13.25
4x+ 7($0.75)
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A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the
grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = \frac{diameter}{2}=\frac{66}{2} =33 \ mm

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = \frac{4}{3}\pi r^3

Now Volume of Gumball = \frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = \frac{diameter}{2}=\frac{58}{2} =29 \ mm

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = \frac{4}{3}\pi r^3

So Volume of gumball's spherical hollow core = \frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = 150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = 48347.6\ mm^3

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0
3 years ago
Soaring Eagles Corp. has total current assets
Andrej [43]

Answer:

1000

Step-by-step explanation:

6 0
3 years ago
If a kid bought a fishing rod for $50 later he sold it for $32 what is the percentage decrease
fredd [130]
Your answer is 36%. See work

8 0
3 years ago
Read 2 more answers
A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that
Snezhnost [94]
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees


Hope this helps! :)
4 0
3 years ago
Help plz I'm desperate ​
lutik1710 [3]

<u>Anna:</u>

1st month = 18 + \frac{3}{4} = 18\frac{3}{4} inches

2nd month = 18\frac{3}{4} + \frac{3}{4} = 19\frac{1}{2}

3rd month = 19\frac{1}{2} + \frac{3}{4} = 20\frac{1}{4}

4th month = 20\frac{1}{4} + \frac{3}{4} = 21

5th month = 21 + \frac{3}{4} = 21\frac{3}{4}

<u>Grace:</u>

Because Anna is \frac{9}{4} inches shorter than Grace, we can start the count from the third month:

1st month = 20\frac{1}{4}

2nd month = 21

3rd month = 21\frac{3}{4}

4th month = 21\frac{3}{4} + \frac{3}{4} = 22\frac{1}{2}

5th month = 22\frac{1}{2} + \frac{3}{4} = 23

7 0
3 years ago
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