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kramer
4 years ago
8

A glass is 2/3 full. Then 40cm3 of orange juice is poured in. The glass is now 4/5 full. What is the total volume of the glass?

Mathematics
1 answer:
mafiozo [28]4 years ago
5 0

Answer:

300 cm³

Step-by-step explanation:

Volume of the glass filled with orange juice:

4/5-2/3= 12/15-10/15= 2/15

2/15 of glass = 40 cm³

Total volume of the glass:

40 cm³ ÷ 2/15= 40 cm³ × 15/2= 300 cm³

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Anita is eating popcorn at the movies. She eats 24 kernels in 10 minutes and 72 kernels in 30 minutes. Which TWO other ratios ca
Neporo4naja [7]

Answer:

\dfrac{96}{40} and \dfrac{120}{50}

Step-by-step explanation:

24 kernels in 10 minutes

In 1 minute she can eat \dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}

let x be the number of popcorn and minutes so the rate of eating popcorn is of the form

\dfrac{x12}{x5}

So, when x = 6 we get

\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}

x can be any real number

\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}

\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}

Other two ratios can be \dfrac{96}{40} and \dfrac{120}{50}.

6 0
3 years ago
Jonah’s dog walking service went so well that he decided to do it again the following summer. This summer, however, Jonah will o
SOVA2 [1]

Answer:

The correct options are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog

Step-by-step explanation:

The parameters given are;

Jonah is hoping to earn $200 from 8 weeks of dog walking

Therefore, Jonah has to make $200/8 per week or $25 per week

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

With the above strategy, Jonah will make $5 × 5 = $25 per week which will amount to $25 × 8 = $200 in 8 weeks total

2) Walking 5 dogs per week at $4 per dog = $20 per week and 8 × $20 = $160 in 8 weeks

3) Walking 8 dogs per week at $3 per dog = $24 per week and 8×$24 = $192 in 8 weeks

4) Double the amount of dogs walked per week to 5×2 or 10 dogs per week but keep the same rate of $3 per dog would give him 10 × $3 = $30 per week and 8 × $30 = $240 in 8 weeks

5) Double the amount of dogs walked per week to 5×2 or 10 dogs per week and cut his rate to $2 per dog would give him 10 × $2 = $20 per week and 8 × $20 = $160 in 8 weeks

Therefore, the strategies that would allow Jonah to reach his $200 goal in 8 weeks are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog.

7 0
4 years ago
The smallest number divisible by 9?
Helga [31]

2520 is the lowest.

Use this: 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

This is divisible by all single digit numbers, and 1 is irrelevant.

Hope this helps!


4 0
3 years ago
Read 2 more answers
Write two ways you could use to find 5+8
Alisiya [41]
1 group of 5 and 1 of 8

draw 5 dots and 8 and count them together
8 0
3 years ago
Read 2 more answers
Equation with angles can someone please answer help please
Bas_tet [7]

Answer:

∠A = 166°

Step-by-step explanation:

We can imagine the parallel line to the left as a shifted version of the one on the right. As we move it further left along the line the in middle (called a <em>transversal</em>), ∠B will slide closer and closer to ∠A. Eventually, the two will totally coincide, showing that ∠B ≅ ∠A. We call ∠A and ∠B <em>corresponding angles</em>, because they can be made to perfectly overlap in that way.

Since corresponding angles are congruent, their measures must be equal, so in this example, we can say that

\angle A =\angle B, and since \angle A = 7x+40^{\circ} and \angle B=3x+112^{\circ},

7x+40^{\circ}=3x+112^{\circ}

To solve for <em>x</em>, we can subtract 3x and 40° from both sides:

4x=72^{\circ}

and divide both sides by 4:

x=18^{\circ}

We can now replace <em>x </em>with 18° in our expression for ∠A to find

\angle A = 7(18^{\circ})+40^{\circ}\\\angle A=126^{\circ}+40^{\circ}\\\angle A=166^{\circ}

3 0
3 years ago
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