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Alex Ar [27]
3 years ago
5

6/7 divided by 1 2/5

Mathematics
1 answer:
Alja [10]3 years ago
4 0
In order to multiply or divide a fraction by a mixed numeral, it is best to have them BOTH in fraction form. 1) We'll convert 1 2/5 into an improper fraction. (1×5)+2 = 7/5
Now 6/7 ÷ 7/5
2) when dividing by a fraction, it is the same to multiply by its reciprocal. So flip the second fraction and multiply them: 6/7 ÷ 7/5 = 6/7 × 5/7
3) reduce them: there is nothing on top that reduces with the bottom, so we simply multiply
4) multiply numerators, then multiply denominators and keep them in place: 6×5 = 30, 7×7 = 49
5) so our final answer is 30/49
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How much water should we add to 20 kg of seawater to change its concentration from 3% to 2%?
zhannawk [14.2K]

Answer:

10 kg

Step-by-step explanation:

In 3% concentration of 20 kg of seawater, there will be \frac{20 \times 3}{100} = 0.6 kg of salt.

So, if it is a 2% solution of seawater,

Then 2 kg salt will be there in 100 kg solution.

So, 0.6 kg salt will be there in \frac{100 \times 0.6}{2}= 30 kg of solution.

So, to make a solution from 3% to 2% we have to add (30 - 20) = 10 kg of water with a 20 kg solution. (Answer)

6 0
3 years ago
Nadia finds out that her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 a
Dahasolnce [82]
\begin{gathered} y-24=\frac{8}{3}(x-2011) \\ \text{There will be 48 horses in 2020 (option A)} \end{gathered}Explanation:

The initial number of horses = 24

year = 2011

Coordinates (2011, 24)

when the number of horses became 32, year was 2014

Coordinates (2014, 32)

We find the slope = rate of change

slope = change in number of horses/change in number of years

slope = (32-24)/(2014-2011)

slope = 8/3

The point slope formula:

\begin{gathered} y-y_1=m(x-x_1) \\ U\sin gpoint\colon x_1=2011,y_1=24 \end{gathered}y-24=\frac{8}{3}(x-2011)

The number of horses in year 2020

using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.

8/3 = (y - 24)/(2020 - 2011)

8/3 = (y - 24)/9

cross multiply:

8(9) = 3(y - 24)

72 = 3y - 72

72 + 72 = 3y

144 = 3y

144/3 = 3y/3

y = 48

Hence, there will be 48horses in 2020 (option A)

4 0
1 year ago
9. < Q ; < S and QR = SR . select the correct statement for the two triangles . What rule proves the congruence ? ( 1point
motikmotik
The theorem proving the triangles' congruence is Angle-side-angle (ASA) and the angle corresponding to Q is S; therefore, the answer is B.
QPR = STR; ASA
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4 years ago
M= -3 b= -1 slope intercept form ​
Aliun [14]

Answer:

y = -3x-1

Step-by-step explanation:

all u had to do was plug it into y = mx+b

5 0
3 years ago
What is the measure of EFG in circle Obelow?
Mashutka [201]

The two opposite arcs add to the entire circle, 360 degrees, so we must have EFG=360-60=300 degrees.

Answer: C

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3 years ago
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