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3 years ago

A service station will be built on the highway, and a road will connect it with cray. How long will the new road be?

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer:

46.2 mi is the right answer.

Step-by-step explanation:

In this question we will follow the property of congruence of two triangles.

Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

As we know in the congruent triangles all sides are in the same ratio.

Now we apply the property of the theorem

$\frac{Distance(Alba-Cray)}{Distance(Alba-Blare)}= \frac{Distance(Cray-Service station)}{Distance(Cray-Blare)}$

$\frac{120}{130}=\frac{x}{50}$

$x=50\frac{120}{130}$

x = 46.2 mi

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What is the 1st quartile in the data set 65 90 100 72 88 55 73

dem82 [27]

Im pretty sure the answer is 65

7 0

3 years ago

The sum of 8 and joses score is 35 use the variable j yo represent josés score

OLEGan [10]

Answer:

8 + j = 35

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Step-by-step explanation:

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3 years ago

There are 20 machines in a factory. 7 of the machines are defective.

adelina 88 [10]

Answer:

0.1225

Step-by-step explanation:

Given

Number of Machines = 20

Defective Machines = 7

Required

Probability that two selected (with replacement) are defective.

The first step is to define an event that a machine will be defective.

Let M represent the selected machine sis defective.

P(M) = 7/20

Provided that the two selected machines are replaced;

The probability is calculated as thus

P(Both) = P(First Defect) * P(Second Defect)

From tge question, we understand that each selection is replaced before another selection is made.

This means that the probability of first selection and the probability of second selection are independent.

And as such;

P(First Defect) = P (Second Defect) = P(M) = 7/20

So;

P(Both) = P(First Defect) * P(Second Defect)

PBoth) = 7/20 * 7/20

P(Both) = 49/400

P(Both) = 0.1225

Hence, the probability that both choices will be defective machines is 0.1225

4 0

3 years ago

A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5

olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

$\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end$

Then the rate of change of the function expressed as a unit rate will be

$\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5$

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0

2 years ago

You order two tacos and a salad. the salad costs 2.50.you pay 8% sales tax and leave a $3 tip. you pay a total of 13.80 how much

riadik2000 [5.3K]

Given:Price of one taco = x; price of 2 tacos = 2xPrice of salad = $2.50Sales tax = 8% of the combined price of two tacos and a salad, namely .08(2x + 2.50)Tip = constant fee = $3.00Total bill = $13.80 Therefore the equation becomes
2x + 2.50 + .08(2x + 2.50) + 3 = 13.80 Solutions: 2x + 2.50 + .16x + .20 + 3 = 13.80 (using the distributive property to multiply 2x and 2.5 by .08).2.16x + 2.70 + 3 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 - 5.70 (subtraction property of equality)2.16x = 8.10x = 8.10/2.16 = 3.75 (division property of equality)
The cost of a single taco is $3.75

3 0

3 years ago