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stich3 [128]
3 years ago
13

A map of your town has a scale of 1 inch to 0.25 mile. There are two roads that are 5 inches apart on the map. Use this informat

ion to complete the statement about the distance between the two roads
Mathematics
2 answers:
Molodets [167]3 years ago
8 0

Answer:

1.25

Step-by-step explanation:

egoroff_w [7]3 years ago
6 0

Answer: <u>The 2 roads are 1.25 miles apart.</u>

Step-by-step explanation:

If 1 inch equals .25 miles, then you need to multiply .25 by 5.

Use proportions. Make sure the miles are on the same "side" of the fraction. Side meaning the top or the bottom

\frac{1}{.25} =\frac{5}{x}

1 times X equals 1x

.25 times 5 equals 1.25

1.25 divided by 1 equals 1.25.

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5 Find the slope of the line that contains points (1,-3) and (-4,5).
ch4aika [34]

Answer:

gradient = m

    m=\frac{rise}{run}

m=\frac{1-(-4)}{-3-5}

m=\frac{5}{-8}

3 0
3 years ago
Question #2 <img src="https://tex.z-dn.net/?f=5x%2B9%5Cleq%204" id="TexFormula1" title="5x+9\leq 4" alt="5x+9\leq 4" align="absm
shutvik [7]
X is less than or equal to -1
6 0
3 years ago
The annual tuition at a specific college was $20,500 in 2000, and $45,4120
nika2105 [10]

Answer: the tuition in 2020 is $502300

Step-by-step explanation:

The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = $20500

The fee in 2018 is the 19th term of the sequence. Therefore,

T19 = $45,4120

n = 19

Therefore,

454120 = 20500 + (19 - 1) d

454120 - 20500 = 19d

18d = 433620

d = 24090

Therefore, an

equation that can be used to find the tuition y for x years after 2000 is

y = 20500 + 24090(x - 1)

Therefore, at 2020,

n = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

6 0
3 years ago
Write each decimal as a fraction in lowest terms <br><br> 0.255
Vesnalui [34]

Answer:

51/200

Step-by-step explanation:

To write a decimal as a fraction, you have to make the decimal the numerator, and put a multiple of ten with that number of zeroes in the denominator:

0.255 = 255/1000

Then we simplify

51/200

6 0
1 year ago
PLEASE ANSWER THIS: look at the pic for question. Thanks!!!
Nadya [2.5K]

Answer:

\text{D. }b^2-4ac>0

Step-by-step explanation:

The equation b^2-4ac represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

  • If the discriminant is positive, or greater than 0, the quadratic has two solutions
  • If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
  • If the discriminant is negative, or less than 0, the quadratic has zero solutions

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have b^2-4ac>0.

4 0
3 years ago
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