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Sedaia [141]
3 years ago
6

Ms. Diaz wants to divide her class of 30 students into 10 groups, not necessarily of equal size. What are some of her choices?

Mathematics
1 answer:
elixir [45]3 years ago
5 0
3 people per group could work out perfectly
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How much 20% solution needs to be added to a 60% solution to make 400 ml of a 40% solution
Scorpion4ik [409]

Let x be the volume of 20% solution, y the volume of the 60% solution. We want a total volume of 400 mL in the final mixture, so

x+y=400

Each mL of either solution will contribute a corresponding concentration, and in the final mixture we want the 400 mL to have a 40% concentration, which means we should also have

0.2x+0.6y=0.4\times400=160

Solve the system and we get x=y=200\,\rm{mL}.

4 0
3 years ago
Find g<br>Write your answer in simplest radical form​
a_sh-v [17]

Answer:

g = 7 yards

Step-by-step explanation:

you have  7\sqrt{3}  yards for the angle adjacent 30 deg.

tan 60 =  \sqrt{3}

tan 60  =  7\sqrt{3}  / g

7 * root(3) / g =  root(3)

7/g = 1

g = 7 yards

3 0
3 years ago
Simplify: 9 (5x-4) + 4x
m_a_m_a [10]

Answer:

49x+36

Step-by-step explanation:

Hey There!

for this question they would like you to simplify the expression using distributive property

To do this the first step is to distribute the 9 in to everything that is in the parenthesis

9x5x=45x

9x4=36

so now we have

45x+36+4x

the next step is to combine like terms

the only like terms in the expression are 45x and 4x so we just add the two together

45x+4x=49x

so now we have 49x+36

In conclusions the simplified version of that expression is 49x+36

8 0
3 years ago
Read 2 more answers
1. ∠E and ∠F are vertical angles with m∠E=9x+12 and m∠F=3x+24
Oduvanchick [21]
The value of x is 2 and KNL will be 102
6 0
4 years ago
81 is 18% of what number? Enter your answer in the box.
prohojiy [21]

Answer:

450

Step-by-step explanation:

If 81 is 18% of a number then we can say that:

x × 0.18 = 81

We multiply by 0.18 because 18% is 0.18 as a decimal. So to work out the real number we divide 81 by 0.18:

81 ÷ 0.18 = 450

3 0
3 years ago
Read 2 more answers
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