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Alisiya [41]
3 years ago
15

Given the point (4,5) and the slope 6, find y when x=24

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0
1) we find out the equation of the line
point-slope form; we need a point (x₀,y₀) and the slope:
y-y₀=m(x-x₀)

In this case:
point: (4,5)
slope: 6

Therefore:
y-5=6(x-4)
y-5=6x-24
y=6x-24+5
y=6x-19  (slope-intercepted form)

2)we find out "y" when x=24
if x=24; then
y=6(24)-19=144-19=125

Answer: y=125
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A car can travel 340 miles on 10 gallons of gasoline. How much gasoline will it need to go 510 miles?
CaHeK987 [17]

Answer:

The answer to your question is 15 gallons

Step-by-step explanation:

Data

distance 1 = 340 mi

volume 1 = 10 gal

distance 2 = 510 mi

volume 2 = ?

Process

To solve this problem we know that there is a direct proportion between the distance traveled and the gasoline used. The more distance traveled, the more gasoline used.

                             340 mi ---------------------- 10 gal

                              510 mi  ---------------------  x

                              x = (510 x 10)/340

                              x = 5100/340

                              x = 15 gallons

4 0
3 years ago
Read 2 more answers
Which inequality is true? Use the number line to help​
wlad13 [49]

Answer:

Option D.

Step-by-step explanation:

In order to resolve this problem, we are going to transform every fraction on a decimal number.

A) 2\frac{1}{2} is a mixed fraction. To get a proper fraction, we let the denominator as 2, and to get the numerator we multiply 2 by 2, and we add 1, as seen on the attached picture.

So:

2\frac{1}{2}=\frac{5}{2}

We divide 5 by 2 and we get 2,5.

So, the first option is not true, as 1.5 is smaller than 2,5.

B) We divide 1 by 2 and get 0,5. They are equal numbers, we can't say that 0,5 is bigger than 0,5.

C) -2.5 is smaller than -1,5 so this option is not true.

D) -3\frac{1}{2}=\frac{-7}{2}

We divide 7 by 2 and we get -3,5. In fact, -3,5 is bigger than -4.5, as there is a major distance from this negative number to cero.

5 0
4 years ago
Which expression is equivalent to (x Superscript one-fourth Baseline y Superscript 16 Baseline) Superscript one-half?
Phantasy [73]

The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) can be found by simplifying the given algebraic equation,

(x^{\frac14}y^{16})^{\frac12}\\\\=x^{(\frac14 \times \frac12)} \times y^{(16 \times \frac12)}\\\\= x^{\frac18}y^{8}

Hence, the expression that is equal to (x Superscript one-fourth Baseline y Superscript 16 Baseline) is x Superscript one-eighth Baseline y Superscript 8.

Learn more about Expression:

brainly.com/question/13947055

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5 0
3 years ago
How much water is 1/8 and 2/8 and 4/8
natima [27]
7\24 or 7\8 if you add it together or just add the numerator
3 0
3 years ago
Hamburger sells for 3 pounds for $6. If Samantha buys 10 pounds of hamburger, how much will she pay
emmainna [20.7K]

The correct answer is: $20

Explanation:

3 pounds of hamburger is $6.

1 pound of hamburger is \frac{\textdollar 6}{3} = \textdollar 2

Now,

10 pounds of hamburger is \textdollar 2 * 10 = \textdollar 20

Hence the correct answer is $20.

8 0
3 years ago
Read 2 more answers
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