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daser333 [38]
3 years ago
8

A motorist is pumping gas into a car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate, how many gallons of gas

will he have pumped into his car on 1/2 of a minute?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

5 gallons

Step-by-step explanation:

times both the rate of the gas pumping and the time it takes by 12/1

so you could get half a minute.

then you get 60/12 gallons pumped per 1/2 min

then you just simplify it to 5 gallons per half minute

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Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8
horrorfan [7]

the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Step-by-step explanation:

We need to write equation of line perpendicular to y=0.25x-7 and passes through the point (-6,8)

Since the line y=0.25x-7 is in slope-inetercept form y=mx+b

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

y=mx+b\\y=-4x+30

So, the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

3 0
3 years ago
The total price for 7 movie tickets is 92.40 . If each ticket costs the same amount, how much does one movie ticket cost?
horsena [70]

Answer:

$13.20

Step-by-step explanation:

total cost of tickets = $92.40

total number of tickets = 7

cost of each ticket

= total cost of tickets ÷ total number of tickets

= 92.40 ÷ 7

= $13.20

hope this helps

8 0
3 years ago
Read 2 more answers
What is the vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7?
Temka [501]
To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).

with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
7 0
2 years ago
Que expresión representa el teorema de Pitágoras
Likurg_2 [28]
La Respuesta es B. A2+B2=C2
4 0
2 years ago
TO TRANSMIT INFORMATION ON THE INTERNET, LARGE FILES ARE BROKEN INTO PACKETS OF SMALLER SIZES. EACH PACKET HAS 1,500 BYTES OF IN
stich3 [128]

Answer:

<u>A.</u> <u>It would be needed 20 packets to transmit 30,000 bytes of information and B. 45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the question:

Size of each packet of information = 1,500 bytes

Number of packets = P

Number of bytes of information = B

2. Let's answer the questions:

A. How many packets would be needed to transmit 30,000 bytes of information?

P = 30,000 ÷ 1,500

P = 20

<u>It would be needed 20 packets to transmit 30,000 bytes of information</u>

B. How much information could be transmitted in 30,000 packets?

B = 30,000 * 1,500

B = 45'000,000

<u>45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.</u>

Note: Same answer provided to question 14037480, answered by me.

7 0
2 years ago
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