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lara31 [8.8K]
3 years ago
14

Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0
<span>Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

1) 8(x + 7) = 8x + 56

2) 5(x - 10) = 5x - 50

3) 6(11 + x) = 66 + 6x

</span><span>Factor each expression. (Pull a common factor from each number) 

COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)

4) 12 + 36 = 12 (1 + 3)

5) 16 + 20 = 4 (4 + 5)

Solve each expression using the distributive property.

6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328 


7) 12 x 44 = 12 (40 + 4)  = 480 + 48 = 528

</span><span>8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.

Expression = 9f + 9n = 9($2.50) + 9($4)

Total cost =</span>9($2.50) + 9($4) = $22.5 + $36 = $58.5
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Solve the expression: 45x+-3(4-6)
joja [24]
45x+6 is the answer

Simply
Subtract the numbers
45x-3(4-6)
45x-3(-2)
Multiply the numbers
Solution
45x+6
5 0
3 years ago
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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
slega [8]
 <span>Let r(x,y) = (x, y, 9 - x^2 - y^2) 

So, dr/dx x dr/dy = (2x, 2y, 1) 

So, integral(S) F * dS 
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx 
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx 
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx 
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx 
= 28/5 + 40/9 - 1/4 
= 1763/180 </span>
6 0
3 years ago
Each batch of granola Lena makes uses 3 cups of oats, 1 cup of raisins, and 2 cups of nuts. Lena wants to make 4 batches of gran
pogonyaev

Answer:

12 cups oats, 4 cups raisins, 8 cups nuts

Step-by-step explanation:

For this problem, just multiply each ingredient by 4

4 0
3 years ago
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Help me out with number 8!!! I’m confused and I need this by tomorrow HELP PLEASE
ivann1987 [24]
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
































3 0
3 years ago
If u know can u help me I got a lot of homework I just need answers for 11-15
Tju [1.3M]
For question 11 
The median: 70
the mean: 66
3 0
3 years ago
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