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maria [59]
2 years ago
6

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered

pair (5, 3) is on the graphed line. Part A: What is the price of 1 pound of cabbage? Show your work. (8 points) Part B: What does the ordered pair (10, 6) on the graph represent? Explain in words. (2 points)
Mathematics
1 answer:
Nuetrik [128]2 years ago
8 0
10 divided between( 5, 3) part B: 10,6
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Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?
zmey [24]
3(1)+4<span>≥ 13
7</span><span>≥ 13 
No

3(2.5)+4</span><span>≥ 13
11.5</span><span>≥ 13
No

3(3)+4</span><span>≥ 13
13</span><span>≥ 13
Yes

{3, 4.5, 5}</span>
3 0
3 years ago
Read 2 more answers
Sarah is a computer engineer and manager and works for a software company. She receives a
daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = a

Given that:

a_4=129\\a_{10}=207

Formula for n^{th} term of an Arithmetic Progression is given as:

a_n=a+(n-1)d

Where d will represent the number of projects increased every year.

and n is the year number.

a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)

Subtracting (2) from (1):

78 = 6d\\\Rightarrow d =13

By equation (1):

129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90

<em>Number of projects in the first year = 90</em>

<em></em>

<em>b) </em>

Number of projects in the twelfth year =

a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233

Each project pays $500

Earnings in the twelfth year = 233 \times 500 = $116500

Sum of an AP is given as:

S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 \times 1938 = $969000

8 0
2 years ago
Suppose the true proportion of voters in the county who support a restaurant tax is 0.54. Consider the sampling distribution for
Eva8 [605]

Answer:

The correct answer is:

(a) 0.54

(b) 0.0385

Step-by-step explanation:

Given:

Restaurant tax,

p = 0.54

Sample size,

n = 168

Now,

(a)

The mean will be:

⇒ μ \hat{p}= p

         =0.54

(b)

The standard error will be:

\sigma \hat{p} = \sqrt{[\frac{p(1-p)}{n} ]}

    = \sqrt{[\frac{(0.54\times 0.46)}{168} ]}

    = \sqrt{[\frac{(0.2484)}{168} ]}

    = 0.0385

6 0
2 years ago
Find the value of x and y
bagirrra123 [75]
According to google, the red marks mean those two lines are the same length.  If that's the case, we know that x is the angle in both corners of the lower triangle.  We also know that because the angle of a straight line is 180, that the top angle of the bottom triangle is 140, because it's divided into two parts, one of which is 40.  That leaves 140 for the rest.  Now we know that there are 180 degrees in a triangle so x=(180-140)/2 = x=20degrees.
The right angle in the left corner is 90 degrees.  It is divided in two parts, the lower one of which we just found to be 20.  So the other part must by 70deg.
So for the upper angle y, we have 180-70-40= y=70degrees
7 0
3 years ago
PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
Reptile [31]

Answer:

equation:x*1/5=9/20

answer=9/4

Step-by-step explanation:

9/20÷1/5=9/20×5/1 in word form you multiply 9/20 by its reciprocal.

first you want to simplify and change 9/20 to 9/4 and change 5/1 to 1/1 and then multiply to get 9/4

5 0
3 years ago
Read 2 more answers
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