2/3x+15=4 With explaination

A cereal box has a height of 32 cm. The base has 160 square cm what is the volume in cubic cm of the box

ruslelena [56]

Hello There!

All you really need to do is multiply 160 with 32.

$160$ × $32$ ≈ $5120$

5120 cm

Hope this helped!

7 0

3 years ago

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If E F = 7 , A C = 16 , and A F = 9

Vilka [71]

Answers:

CB = 14

GF = 8

FB = 9

EF is parallel to CB

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Explanations:

Points E and F are midpoints of their respective sides. They form the midsegment EF. Because EF is a midsegment, A midsegment is half the length of its parallel counterpart, so CB is two times longer than EF. If EF is 7 units long, then CB = 2*EF = 2*7 = 14

For similar reasons, GF is parallel to AC. If AC = 16, then half of that is GF = (1/2)*AC = 0.5*16 = 8.

FB = FA = 9 as these segments have the same single tickmark to indicate they are the same length

EF is parallel to CB because EF is a midsegment, and this is one of the properties of being a midsegment. We can show that quadrilateral EGBF is a parallelogram to help prove this.

8 0

3 years ago

The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2

MrRa [10]

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in glass B be x

then

$\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}$

Substituting the values ,

$\frac{8}{3} \times x = \frac{7}{2} \times 320$

$\frac{8}{3} \times x = \frac{2240}{2}$

$\frac{8}{3} \times x = 1120$

$x = 1120 \times \frac{3}{8}$

$x = \frac{3360}{8}$

x = 420

Now total volume of soda in the two glasses

=> volume of soda in glass A + volume of soda in glass B

=> 320 + 420

=>740mL

5 0

3 years ago

The tour costs £359 per person. You have to pay a deposit of £78 in advance. How much more do you need to pay

dimaraw [331]

The cost of the tour= £ $359$ .

The deposit is just an initial pay, which is a part payment of the total cost

If you pay a deposit of £78 out of £359, Then you need to subtract £78 from £359 to obtain,

$359-78=281$ pounds.

Therefore you need to pay £281 more.

4 0

3 years ago

Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video gam

xxMikexx [17]

Tyrell started with $541.

First you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars. So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:

6 video games* 27 dollars each game= 162 dollars

So Tyrell spends 162 dollars.

On the other hand, you know that Tyrell had 379 dollars left after he bought the video games. This indicates that after spending $ 162 on video games, there were $ 379 left over. To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:

162 dollars + 379 dollars= 541 dollars

So, Tyrell started with $541.

6 0

3 years ago

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