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Galina-37 [17]
3 years ago
8

2 Points

Mathematics
1 answer:
LiRa [457]3 years ago
5 0

Answer:

A. a = $3, p = $6

Step-by-step explanation:

Let the cost of a bucket of apple=a

Let the cost of a bucket of peaches=p

6 buckets of apples and 4 buckets of peaches costs $42.

  • 6a+4p=42

8 buckets of apples and 2 buckets of peaches costs $36.

  • 8a+2p=36   (Multiply by 2 to make the coefficient of p 4)
  • 16a+4p=72

We solve the two resulting equations simultaneously

6a+4p=42

16a+4p=72

Subtract

-10a=-30

Divide both sides by -10

a=$3

Next, we substitute a=$3 in any of the equation to solve for p

6a+4p=42

6(3)+4p=42

4p=42-6(3)

4p=42-18

4p=24

Divide both sides by 4

p=$6

Therefore, a bucket of apple costs $3 and a bucket of peaches costs $6.

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Answer:

d.x=-8 and x=-10

Step-by-step explanation:

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A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to hav
Semmy [17]

Answer: 0.62

Step-by-step explanation:

Given : A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige.

i.e. The sample size of U.S. adults : n= 1010

The number of U.S. adults consider the occupation of firefighter to have very great prestige : x= 627

Now , the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be :

\hat{p}=\dfrac{x}{n}\\\\=\dfrac{627}{1010}=0.620792079208\approx0.62  [ To the nearest hundredth]

Hence, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62

5 0
3 years ago
consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
m=2/3

y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3  (slope intercept form)

Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
3 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
What is the center and radius of the circle with equation (x + 9)2 + (y + 5)2 = 64?
muminat
Hello,

center (-9,-5)
Radius=√64=8

Answer A
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