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LiRa [457]
4 years ago
5

A trail mix contains peanuts raisins and m&ms in the mix the amount of peanuts is three times the amount of m&ms;and the

amount of raisins is two times the amount of m&ms.let m represent the amount of m&ms.write and simplify an expression for the total number of pieces of food in the trail mix
Mathematics
1 answer:
Nesterboy [21]4 years ago
5 0

Answer:

6m

Step-by-step explanation:

m =number of M&M's

3m=number of peanuts

2m=number of raisins

m+3m+2m=total number of pieces of food=6m

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A cylinder has a radius of 4.5 inches and a height of 10 inches. What is the
nata0808 [166]

Answer:

B.

Step-by-step explanation:

5 0
2 years ago
The population of cina is approximately 1.381×10^9 and the population of the united states is approximately 3.23×10^8 about how
astra-53 [7]

Answer:

The number of people living in both countries is 1.704 x 10⁹

Step-by-step explanation:

Given;

Population of people in China, = 1.381 x 10⁹

Population of people in united states, = 3.23 x 10⁸

The total number of people living in both countries is given as;

Total population = 1.381 x 10⁹ + 3.23 x 10⁸

Total population = 1.381 x 10⁹ +  0.323 x 10⁹

Total population = (1.381 + 0.323) x 10⁹

Total population = 1.704 x 10⁹

Therefore, the number of people living in both countries is 1.704 x 10⁹

5 0
3 years ago
If 3a-2b= 8 and a+3b=7 what is the value of 4a+b?
Fittoniya [83]
Step 1: Find the value of one variable in terms of the other.

a+3b=7\\a=7-3b

Step 2: Substitute the value you just found for this variable in the other equation.

3a-2b=8\\3(7-3b)-2b=8\\21-9b-2b=8\\21-11b=8\\21=8+11b\\13=11b\\\frac{13}{11}=b\\ b=1\frac{2}{11}

Step 3: Use your new value for the second variable to find the first.

a+3b=7\\a+3(1\frac{2}{11})=7\\a+3\frac{6}{11}=7\\\\a=3\frac{5}{11}

Now that we know the values for a and b we can find the value of 4a+b.

4a+b\\4(3\frac{5}{11})+1\frac{2}{11}\\12+\frac{20}{11}+1\frac{2}{11}\\\\12+1\frac{9}{11}+1\frac{2}{11}\\\\\boxed{15}
6 0
4 years ago
Assume that the cost to produce an item is a linear function and all items produced are sold. A lumber yard has fixed costs of $
V125BC [204]

Answer:

2028 ft

Step-by-step explanation:

Let the feets of boards sold to get profit be x hence with the price of $1.13 which is inclusive of profit, the total sales will be 1.13 x

The cost per day will equally be the sum of variable cost which considers the feets of boards and the daily fixed charge. Considering the variable of $0.03 and fixed charge of $2230.80 then the equation is represented as 0.03x+2230.80

Relating the two equations then

1.13x=0.03x+2230.80 and rearranging like terms

1.13x-0.03x=2230.80

1.1x=2230.8

X=2230.8/1.1=2,028 ft

Therefore, to maximize daily profit, 2028 ft must be sold

6 0
3 years ago
150°<br> 2x + 100°<br> X =<br> degrees
bekas [8.4K]

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

8 0
3 years ago
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