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2 years ago

Solve the system of equations algebraically. Show all of your work. y= x^2 + 2x y= 3x +30

Mathematics

1 answer:

QveST [7]2 years ago

4 0

Answer:

See attached below

Step-by-step explanation:

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Help me please, it would be great

Nastasia [14]

AB²=5²+5²+5²=25+25+25=75
AB=5√3≈8.7
Answer:AB≈8.7

4 0

3 years ago

A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The

DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

step 1

Find the volume of the cylinder

The volume is given by

$V=Bh$

where

B is the area of the base of cylinder

h is the height of cylinder

we have

$B=\pi r^{2}$

we have

$h=8\ mm$

$r=6/2=3\ mm$ ----> the radius is half the diameter

$B=(3.14)(3)^{2}$

$B=28.26\ mm^2$

substitute

$V=(28.26)(8)=226.08\ mm^3$

step 2

Find the volume of the sphere

The volume is given by

$V=\frac{4}{3}\pi r^{3}$

we have

$r=6/2=3\ mm$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3$

step 3

Adds the volumes

$226.08+113.04=339.12\ mm^3$

6 0

2 years ago

mrs lim had some money she spent 4/7 of it on necklace and 1/6 of her remainig money on a bracelet she then had $990 left how mu

zmey [24]

Answer:

she spent $1782

Step-by-step explanation:

first we have to find out her total money then minus 990

to get that 990 /5 then multipliedby 6 is 1188

1188 over 3 then times by 7 is 2772

2772 is the total amount of money she had. minus what she had left which is 990 she has spent 1782 dollars

4 0

2 years ago

Suppose the population of a certain city is 5289 thousand. It is expected to decrease to 4530 thousand in 50 years. Find the per

Tcecarenko [31]

Answer:

14.4% decrease

Step-by-step explanation:

Here is the formula for finding the percentage of decrease:

(starting value - final value) / starting value * 100.

So for your question,

$\frac{5289-4530}{5289} =.0144\\.0144 * 100 = 14.4\\$ /

There was a 14.4% decrease within 50 years.

5 0

3 years ago

The local video store is having a sale on video games. The store is offering a sale pack of 4 video games for $48. What is the p

Alinara [238K]

A single video game would cost $12

8 0

2 years ago

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