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4 years ago

Draw an example of a composite figure that has a volume between 750 and 900 cubic units

Mathematics

2 answers:

agasfer [191]4 years ago

7 0

A rectangle that is 10 wide and 10 high and 8 units long would have 800 cubic units

Elena L [17]4 years ago

6 0

A three-dimensional figure that will have 8 as a length, 10 as a height, and 10 as width.

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Multiplying polynomials (3x-8) (2x-2)

Neko [114]

(3x - 8)(2x - 2)
(6x² - 6x - 16x + 16)
6x² - 22x + 16

4 0

3 years ago

Read 2 more answers

A boat traveled 153 miles downstream and back. The trip downstream took 9 hours. The trip back took 17 hours. What is the speed

fgiga [73]

Speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

<h3>Solution:</h3>

Let s = the speed of the boat in still water in miles/hour

Let c = the speed of the current in miles/hour

Formula to remember:

If the speed of a boat in still water is s miles/hr and the speed of the current is c miles/hr, then:

Speed downstream = (s + c) miles per hour

Speed upstream = (s - c) miles per hour

Given:

boat traveled 153 miles downstream and back

distance for downstream = 153 miles

distance for upstream = 153 miles

time taken for downstream = 9 hours

Time taken for upstream = 17 hours

The relation between speed, distance and time is given as:

$distance = speed \times time$

For downstream:

$153 = (s + c) \times 9$

$s + c = \frac{153}{9} = 17$

s + c = 17 ------- eqn 1

For upstream:

$153 = (s - c) \times 17\\\\s - c = \frac{153}{17} = 9$

s - c = 9 ------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "s" and "c"

Add eqn 1 and eqn 2

s + c = 17

s - c = 9

(+) -------------

2s = 26

Substitute s = 13 in eqn 1

13 + c = 17

c = 17 - 13 = 4

Thus the speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

8 0

3 years ago

Please I don’t understand this plz answer in detail

uranmaximum [27]

Answer:

Basically if you look at the lemonade the bar stops at 12

and for the water the bar stops between 6 and 8 which is 7

and the question says how many more which is minus so

The number of lemonades - the number of water sold=

12-7=5

3 0

3 years ago

Read 2 more answers

If x varies jointly as y and z,and x=8 when y=4 and a=9,find z when x=16 and y=6

Luda [366]

Answer:

z=12

Step-by-step explanation:

It is given that x varies jointly as y and z, it means

$x\propto yz$

$x=kyz$

$x(y,z)=kyz$

where, k is the constant of proportionality.

It is given that x=8 when y=4 and z=9

$(8)=k(4)(9)$

$8=36k$

Divide both sides by 36.

$\frac{8}{36}=k$

$\frac{2}{9}=k$

The value of k is 2/9.

$x=\frac{2}{9}yz$

We need to find the value of z when x=16 and y=6.

Substitute x=16 and y=6 in the above equation.

$16=\frac{2}{9}(6)z$

$16=\frac{4}{3}z$

Multiply both sides by 3.

$48=4z$

Divide both sides by 4.

$12=z$

Therefore, the value of z is 12.

7 0

4 years ago

Find the number of students who like both peanut butter and jam. *

netineya [11]

Answer:

4 students

Step-by-step explanation:

As shown in the diagram, let U=[The total number of students questioned]

$\implies n(U) = 10$

A=[Those who liked peanut butter ]

$\implies n(A) =18$

B=[Those who liked jam ]

$\implies n(B) = 10$

x = those who like both peanut butter and jam.

Also 6 liked neither peanut butter nor jam.

From the diagram we can write the mathematical equation as follow and solve for x

$30 = 18 - x + x + 10 - x + 6$

$\implies 30 = 34- x$

We add x and subtract 30 to both sides.

$\implies 30 - 30 + x = 34- x + x - 30$

$\implies x = 4$

Therefore 4 students like both peanut butter and jam.

6 0

3 years ago