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Rama09 [41]
3 years ago
8

A family buys airline tickets online. The family buys travel insurance that costs ​$ per ticket. The total cost is ​$. Let x rep

resent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Answer:

One ticket equals $169

Step-by-step explanation:

The family buys 4 airline tickets online.

The travel insurance costs $19 per ticket.

The total cost is $752.

A.

An equation that models this problem could be

Basically, we know that the insurance costs $19 which represents an additional costs after the price per ticket, that's why we need to add them. Then, we know that the familiy bought 4 tickes, that's why we multiply by 4, and finally, the total cost must be equal to 752, according to the problem.

B.

To find the price of one ticket, we just need to solve the equation for

Therefore, one ticket costs $169.

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A gym has 2kg and 5kg weights. There are 10 disks in all. The total weight of 2kg and 5kg disks is equal to 29kg. Find the numbe
Simora [160]

Answer:

no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7

Step-by-step explanation:

Let the no of 2kg disks be a.

Let no of 5 kg disks be b.

2a+5b=29

a+b=10

Using substitution, we have

2(10-b) + 5b=29

20-2b+5b=29

20+3b=29

3b=9

b=3

So no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7

6 0
3 years ago
Triangles PQR and RST are similar right triangles. ​ ​​Which proportion can be used to show that the slope of LaTeX: \overline{P
alukav5142 [94]

<em>Question:</em>

<em>Triangles PQR and RST are similar right triangles.  Which proportion can be used to show that the slope of PR is equal to the slope of RT?</em>

Answer:

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

Step-by-step explanation:

See attachment for complete question

From the attachment, we have that:

P = (-7,7)

Q = (-7,3)

R = (-4,3)

S = (-4,5)

T = (2,-5)

First, we need to calculate the slope (m) of PQR

Here, we consider P and R

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

P(x_1,y_1) = (-7,7)

R(x_2,y_2) = (-4,3)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{3 - 7}{-4 - (-7)} --------- (1)

Next, we calculate the slope (m) of RST

Here, we consider R and T

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

R(x_1,y_1) = (-4,3)

T (x_2,y_2)= (2,-5)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-5 - 3}{2 - (-4)} ---------- (2)

Next, we equate (1) and (2)

\frac{3 - 7}{-4 - (-7)} = \frac{-5 - 3}{2 - (-4)}

<em>From the list of given options (see attachment), option A answers the question</em>

4 0
3 years ago
A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. T
Lubov Fominskaja [6]

Answer:number of oranges needed to make 24 fluid ounces of juice. the student writes this proportion: equation explain the error in the student's work. ... Astudent uses the ratio of 4 oranges to 6 fluid ounces to find the number of ... Ratio is the relationship between two numbers, defined as the quotient of one number for the other.

Step-by-step explanation: hope it helps

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3 years ago
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Charity will have 16 bags

3 0
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80% more then $20.00
ElenaW [278]

Answer

$36

Step-by-step explanation:

You multiply 0.8 by 20 since 0.8 is also 80% and you get 16. Since you want 80% more than 20 you add together to get $36. Hope it helped!

6 0
3 years ago
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