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tiny-mole [99]
3 years ago
14

An auto mechanic ordered eight car spark plugs and four truck spark plugs. Car spark plugs cost $.75, and truck spark plugs cost

$3.00 apiece. Use the distributive property to find the total cost of these parts.
Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0
The first thing we should know is the definition of commutative property.
 Commutative property:
 The distributive property of multiplication over addition in elementary algebra is that in which the result of a number multiplied by the sum of two or more addends is equal to the sum of the products of each summand by that number. In algebraic terms we have then:
 4 * ((2 * 0.75) + (3)) = (8 * 0.75) + (4 * 3) = 6 + 12 = 18 $
 answer:
 the total cost of these parts is $ 18
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8 0
3 years ago
Read 2 more answers
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
IrinaK [193]

Answer: (-2,3), r=5\ \text{units}

Step-by-step explanation:

Given

the equation is x^2+y^2+4x-6y-12=0

completing the square

\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2

Thus, the center of the circle is (-2,3) and radius is r=5\ \text{units}

5 0
3 years ago
Number ten please thanks
BlackZzzverrR [31]
-3^2= -(3)^2

The exponent of 2 only applies to the number 3. -(3)^2 should equal -9. This is true because according to the order of operations, exponents should be evaluated before multiplication. The negative sign here represents -1* 3^2.
If you want to find -3 to the power of 2 it must be written (-3)^2.
5 0
3 years ago
bob left work and traveled to school at an average speed of 25 mph. if it took bob 35 minutes to reach school, how far is bobs s
Alchen [17]
Rate x time = distance
25   x  35/60 = distance  (35/60 is 35 minutes out of an hour- 60 minutes)
25/1 x 7/12  = distance (I put the 25 over 1 and reduced 35/60)
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Notice that the time had to be in a fraction of an hour in order to do this.
8 0
2 years ago
Spends at most 30, buys boxes of crayons that cost 2 per box, also buys a poster for 5. Wants to know how many boxes of crayons
My name is Ann [436]

Answer:

for 15 crayons box she can spend

Step-by-step explanation:

The computation of the number of crayons for which she can spend is shown below:

Given that

She can spend $30

And, the cost is 2 per box

So, for the number of crayons for which she can spend is

= $30 ÷ 2

= 15 crayons box

Hence, for 15 crayons box she can spend

The same would be relevant

4 0
3 years ago
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