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qaws [65]
3 years ago
6

1. In a class there are 2 boys to every 3 girls. How many girls would be in the class if there are 12 boys? (set up a proportion

and solve, think about what two things you have and put them one over the other)
2. A boat traveled 27 miles in 2 hours. At this rate how many miles would the boat travel in 0.5 hour? (set up a proportion and solve)

3. Joe uses 6 grams of coffee beans to make 24 ounces of coffee. How many grams of coffee beans would be used for 288 ounces of coffee? (this problem has ounces but it also gives you three numbers already)

4. A recipe says to use 3 cups of flour for 48 cookies. How many cups of flour would be used to make 72 cookies?

5. A man walks 4 miles in 1.5 hours. How many hours would it take the man to walk 10 miles?

6. It costs $22.50 for 5 pounds of salmon. How much would it cost for 8 pounds of salmon?
Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

1. 12 boys,

5. 15 hours

6. 36

Im not so sure on the others, Gl!

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If the width of a square piece of material is 3x – 2, what is the area?
Zinaida [17]
The answer is B because its a square so all sides are equal and then you factor
3 0
2 years ago
Factor out the coefficient of the variable 5/6s+2/3
DochEvi [55]
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?

5/6 ( )

so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have

5/6 ( s )

but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?

5/6 ( s + (2/3) / (5/6) )

now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.

2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15

we can reduce 12/15 by dividing the top and bottom by three.

= 4/5

so our final answer would be:

5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
6 0
3 years ago
5. Solve each equation.<br>a.<br>6(3x - 5) - 7x = 25​
Ivahew [28]

Answer:

Step 1: Simplify both sides of the equation.

6(3x−5)−7x=25

(6)(3x)+(6)(−5)+−7x=25(Distribute)

18x+−30+−7x=25

(18x+−7x)+(−30)=25(Combine Like Terms)

11x+−30=25

11x−30=25

Step 2: Add 30 to both sides.

11x−30+30=25+30

11x=55

Step 3: Divide both sides by 11.

x=5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Simplify 2a^2b^3(4a^2+3ab^2-ab)
-BARSIC- [3]
2a^2b^3(4a^2+3ab^2-ab)=? 
<span>
is what I presume you actually meant. </span>
<span>
Pull out the common factors of (4a^2+3ab^2-ab) and you will get </span>
<span>
a(4a+3b^2 -b) </span>

Substitute this back into the original equation and you get 
<span>
2a^2b^3[a(4a+3b^2-b)] = </span>
2a^3b^3(4a+3b^2-b) = 
<span>2a^3b^3(4a-b+3b^2)
</span>
3 0
3 years ago
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equatio
Aleks [24]

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

5 0
2 years ago
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