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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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Please someone help me i’m taking a quiz and just please help
kkurt [141]

Answer:

X= 4\sqrt 3 and Y= 8

Step-by-step explanation:

i hope this helps and i hope you have a good day and I also hope you do well on your quiz

5 0
3 years ago
Five teachers and five students want to but ice cream from the cafeteria. The cafeteria sells chocolate,strawberry,cotton candy,
matrenka [14]

Answer:

13.75

Step-by-step explanation:

First you know there are 5 students and 5 teachers, for each student it costs 6.25 and for every teacher it cost 1.50. So 5 teachers x 1.50= 7.5. 5 students x 1.25 =6.25. 7.5 +6.25= 13.75

8 0
3 years ago
Some friends plotted the locations of their house on a map. brianna's house is at (1,6), Jordan's house is at (5,3). What is one
Rufina [12.5K]
Let
A (1,6)------> location <span>brianna's house on a map
B </span>(5,3)------> location Jordan's house on a map

we know that
One possible path from brianna's house to jordan's house it's a straight line  ( <span>the shortest distance)</span>

using a graph tool
see the attached figure

find the distance points AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3-6)²+(5-1)²]----> d=√[3²+4²]
d=√25----> d=25 units

the distance from brianna's house to jordan's house is 25 units

4 0
3 years ago
state whether the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are paraller, perdendicular, or neither
Brrunno [24]
The easiest way to tell whether lines are parallel, perpendicular, or neither is when they are written in slope-intercept form or y = mx + b. We will begin by putting both of our equations into this format.

The first equation, y =  \frac{1}{2}x - 1 is already in slope intercept form. The slope is 1/2 and the y-intercept is -1.

The second equation requires rearranging.
y + 4 =  -\frac{1}{2}(x - 2) \\ y + 4 = -\frac{1}{2}x + 1 \\ y = - \frac{1}{2} x- 3
From this equation, we can see that the slope is -1/2 and the y-intercept is -3.

When lines are parallel, they have the same slope. This is not the case with these lines because one has slope of 1/2 and the other has slope of -1/2. Since these are not the same our lines are not parallel.

When lines are perpendicular, the slope of one is the negative reciprocal of the other. That is, if one had slope 2, the other would have slope -1/2. This also is not the case in this problem.

Thus, we conclude that the lines are neither parallel nor perpendicular.
8 0
3 years ago
a piece of art is in the shape of an equilateral triangle with side of 6 inches what is the area of the art
Nitella [24]
Area=1/2 times base times height
for equilateral triangle, if base is x, then height is (x√3)/2

so if base is 6 then height is (6√3)/2=3√3

area is 1/2 times 6 times3√3=3 times 3√3=9√3 sqare inches
8 0
3 years ago
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