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3 years ago

150 adults complete a survey.

Mathematics

1 answer:

balu736 [363]3 years ago

8 0

Answer:

The number of men to number of women be 7 : 8 .

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If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)

kolezko [41]

Answer:

a) $(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

$(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)$

And we want to find a function:

$C (m) = b_1 m + b_0$

We can find the slope with this formula:

$b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2$

And then we can use the point $(x_1 = 225, y_1 = 80)$ to find the intercept $b_o$ and we got:

$80 = 0.2*225 +b_0$

$b_0 = 80-45 = 35$

So then the linear function is given by:

$C(m) = 0.2 m + 35$

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

$C(m =475) = 0.2*475 + 35 = 130$

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

$155 = 0.2m + 35$

$155-35= 120 = 0.2 m$

$m= \frac{120}{0.2}= 600 mi$

6 0

3 years ago

What is wrong with 3(20+30)

mash [69]

Nothing is wrong !!!!

4 0

4 years ago

Read 2 more answers

What is the length, in units, of segment CD?

leonid [27]

Answer:

The answet is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

$\sin(θ ) = \frac{oppo.}{hypo.}$

$let \: oppo. = 4 \\ let \: hypo. = 5$

$\sin(θ) = \frac{4}{5}$

$θ = {\sin( \frac{4}{5} ) }^{ - 1}$

$θ = 53.1 \: (1d.p)$

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

$ACD = 90 - 53.1 = 36.9$

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

$\cos(θ) = \frac{adj.}{hypo.}$

$let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD$

$\cos(36.9 ) = \frac{5}{CD}$

$CD \cos(36.9) = 5$

$CD = \frac{5}{ \cos(36.9) }$

$CD = 6.25 units\: (3s.f)$

4 0

3 years ago

4 pictures on 1/3 of a page<br> = ________pictures/page

andrew-mc [135]

Step-by-step explanation:

4 pictures correlate to 1/3 page.

how many 1/3 pages do we need to get 1 full page ?

3, as 3 × 1/3 = 3/3 = 1.

so, to keep the ratio, we need to multiply also the pictures by 3 and get

4×3 = 12 pictures per page

5 0

2 years ago

Which equation represents the

pickupchik [31]

Answer:

theta = 180 -(A +B)

Step-by-step explanation:

The sum of the angles of a triangle is 180

theta + A + B = 180

solve for theta

Subtract ( A + B) from each side

theta +A+B -(A +B) = 180 -(A +B)

theta = 180 -(A +B)

8 0

3 years ago