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Makovka662 [10]
3 years ago
6

The mathematical fact: a(b+c) = ab + ac ______________________________

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

Step-by-step explanation:

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Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2
defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations 3x+2y=27  and 2x+y=16 is (5,6)

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

3x+2y=27 -----> equation A

2x+y=(27-11)

2x+y=16 ----> equation B

Solve the system of equations

Multiply the equation B by -2

-2(2x+y)=-2*16 ----->-4x-2y=-32 ------> equation C

Adds equation A and equation C

3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5

Substitute the value of x in the equation B

2(5)+y=16

10+y=16

y=6

The solution of the system of equations is the point (5,6)

so

The price of each burger is \$5

The price of each sandwich is \$6

6 0
2 years ago
Read 2 more answers
PLS HELP WILL BRAINLIEST 1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work
djverab [1.8K]
<span>1. line goes through the points (9, 10) and (-3, 2). (a) What is the slope of the line? Show your work 

slope = (10 - 2)/(9 + 3)
slope = 8/12
slope = 2/3

</span><span>2. Write the equation of the line in point-slope form. 
Show your work 
</span>
 point-slope form. <span>
y - y1 = m(x - x1)

so equation
y - 2 = 2/3(x + 3)

</span><span>3. Write the equation of the line in slope-intercept form. 
Show your work.</span><span>

</span>slope = 2/3, passing thru <span> (-3, 2)
</span><span>
y = mx + b
b = y - mx
b = 2 - (2/3)(-3)
b = 2 + 2
b = 4

equation
y = 2/3(x) + 4

</span>
8 0
3 years ago
What is the circumference of the circle below in terms of pie?
asambeis [7]
<span>We have to calculate the circumference of a circle and to choose the correct answer. The circumference of a circle is given by a formula: C = 2 r Pie. In this case radius of the circle is : r = 2.2. Therefore C = 2 * 2.2 Pie = 4.4 Pie. Answer: The circumference of the circle is: D ) 4.4 Pie.</span>
5 0
3 years ago
Read 2 more answers
The number of subsets that can be created from the set {1, 2, 3} is:
kkurt [141]

Answer:3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Let p= x^2-7.
Advocard [28]

Since p = x² - 7, you can substitute/plug in p for x² - 7

So:

(x² - 7)² - 4x² + 28 = 5

(p)² - 4x² + 28 = 5      You can factor out -4 from (-4x² + 28)

p² - 4(x² - 7) = 5        Plug in p

p² - 4p = 5        Subtract 5

p² - 4p - 5 = 0        Your answer is C

8 0
2 years ago
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