MATHEMATICS COLLEGE

Volume round to the nearest tenth
Volume round to the nearest tenth - 1

Answers

Answer 1
Answer:

Answer:

504 in.

Step-by-step explanation:

6 · 12 · 7 = 504
Answer 2
Answer:

Answer:

504in^3

Step-by-step explanation:

voluke of rectangular prism formula: LWH

where l=length(7)

w=width(12)

h=height(6)

so

7*12*6=504

504in^3

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What is the y-intercept of y = -3x - 2​

Answers

This is written in slope-intercept form; y = mx + b

m = slope

b = y-intetcept

In the equation we are given;

m = -3

b = -2

Therefore, the y-intercept is -2

Best of Luck!

Answer:

-2

Step-by-step explanation:

y = mx + bis how slope intercept form is written. The "mx" is the slope while the "b" is the y-intercept. In the equation y = -3x -2, we can see that -2 is the y-intercept because it is the value of "b".

What is the answer ?
x/y+17
If is x=12
and y=1/2

Answers

12/ 1/2 +17 = 24 +17= 41

Answer:

jhhdh.duuemmeyyeymruur*

nixon cuts 5/6 inch sections of wood to make a birdhouse roof . he cut 24 sections. how many inches did he cut

Answers

Answer: 20 inches

Step-by-step explanation: 5/6 x 24 = 20

Answer:20 Inches

Step-by-step explanation:

5/6in*24=20inches

What is the maximum height of the basketball when the player passes the ball to someone? Initially, the ball moves at a speed of 12m/sec at an angle with respect to the horizontal of 45 degrees. Is it possible that other player standing 8m away is able to catch the ball without any bounces?

Answers

Answer with explanation:

Since the motion of the ball is projectile motion we shall use the equations for projectile motion.

The maximum height achieved by the projectile is given by

h_(max)=(v_(o)^(2)sin^(2)(\theta ))/(2g)

Applying the values we get

h_(max)=(12^(2)* sin^(2)(45))/(2* 9.81)\n\nh_(max)=3.669m

The range of the projectile is given by

R=(v_(o)^(2)sin(2\theta ))/(2g)

Applying values we get

R=(12^(2)* sin(2* 45 ))/(2* 9.81)\n\nR=7.339m

thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.

(The height of the players is not taken into account since no info is given about their height.)

Lydia and Adam are buildng a display of soup cans at the market where they work. the display is in the form of a square pyramid, with a base of 81 cans. They will continue making smaller layers until there is one can at the top. Adam is going to the stockroom to get the can they will need. a. How many layers will be in the display?

b. How many canse will Lydia and Adam use total?

Answers

Answer:

(a). 9 layers

(b). 285

Step-by-step explanation:

In the question,

The Square Pyramid is needed to be made from the cans.

The base of the pyramid has = 81 cans

So,

Side of the Square = s

So,

s^(2)=81\ns = 9

Therefore, the number of cans on one side of the square base = 9 cans

So,

The number of cans will be reducing by 1 in each layer upto the point we are left with only 1 can in the top.

So,

1st layer = 9 cans

2nd layer = 8 cans

3rd layer = 7 cans

4th layer = 6 cans

5th layer = 5 cans

6th layer = 4 cans

7th layer = 3 cans

8th layer = 2 cans

9th layer = 1 can

Number of layers are = 9

(b).

Total number of cans used by Lydia and Adam will be,

Sum of number of cans in all the layers.

Number\,of\,cans=9^(2)+8^(2)+7^(2)+6^(2)+5^(2)+4^(2)+3^(2)+2^(2)+1^(2)\nNumber\,of\,cans=81+64+49+36+25+16+9+4+1\nNumber\,of\,cans=285

Therefore, the number of cans = 285

Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $40 and straight leg jeans for $60. If customer’s bought 5 times more bootcut than straight leg jeans and last month’s sales totaled $6,500, how many of each pair of jeans were sold?

Answers

okay so we know the ratio of jeans sold is 5/1 so lets put that into an equation.

6,500 = $40(5*x) + $60(1*x) so lets solve for x.

so lets merge 40(5x) + 60(x) = 260(x)
6,500 = 260(x)

Divide both sides by 260. 6,500/260 = (260(x))/260 = 25

so lets plug it in. 6,500 = 40(5*25) + 60(1*25) = 5,000 + 1,500 = 6,500.

So the answer is 25!
Write down the equations you know!

40x + 60y = 6500
x = 5y

x = bootcut jeans
y = straight leg jeans

Replace 'x' with it's equation, then solve for y.

40(5y) + 60y = 6500
200y + 60y = 6500
260y = 6500
y = 25

Now plug that back into one of the original equations:

x = 5y
x = 5(25)
x = 125

125 = bootcut jeans
25 = straight leg jeans
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