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RoseWind [281]
3 years ago
5

What is the slope of the line connecting the points (2, 1) and (4, 5)?

Mathematics
2 answers:
Paha777 [63]3 years ago
5 0

Answer:

2

Step-by-step explanation:

1. Find the difference between the two y values. 5 − 1 = 4

  This is usually called the "rise" of the line.

2. Find the difference between the two x values. 4 − 2 = 2

   This is usually called the "run" of the line.

3.  Divide the rise buy the run: \frac{rise}{run} = slope \frac{4}{2} = 2

masha68 [24]3 years ago
3 0

Answer:

2

use y2 - y1 / x2 - x1

5 - 1 / 4 - 2 = 4/2 = 2

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Bertha buys electricity from a company that offers a choice of two tariffs. Both have a daily charge of $0.20 regardless of how
Alenkasestr [34]

Answer: D ( 17/20)

Step-by-step explanation:

The two choices are:

The ‘standard’ tariff charges = $0.10 per unit

The ‘day/night tariff’ = $0.12 per unit for each unit consumed between 06:00 and 22:00 but only $0.05 for each unit consumed between 22:00 and 06:00

The day time is between 22:00 and 06:00

Time = 22 - 6 = 16 hours

Let assume that the charges are unit per hour.

For standard tariff = (16 × 0.10) + 0.2

Standard tariff = 1.6 + 0.2 = 1.8

For day/night = (16 × 0.12) + 0.2

= 1.92 + 0.2

= 2.12

The proportion will be

1.8/2.12 = 17/20 ( approximately)

6 0
4 years ago
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
Virty [35]

Answer:

t=14

v=13

q=12

s=23

w=-4

x=28

Step-by-step explanation:

we know that the universal set =100

so, everything in it must add up to 100

first, from the information given to us,

t= n(A n C)= 14

v=n(B n C)= 13

to find q

we know from our guide that n(A) =40

which means everything inside A will add up to 40

therefore,

q + 7 + 7 + t = 40

and we already know that t = 14

so, that will be;

q + 7 + 7 + 14 = 40

therefore, q = 12

to find s,

we all know that n(B) = 50

which means that everything inside B will be equal to 50

therefore,

s + 7 + 7 + v = 50

and we know that v = 13

therefore,

s + 7 + 7 + 13 = 50

and s will end up to be = 23

to find w,

we know that n(C) = 30

so, everything in C end up to be all equal to 30

therefore,

t + 7 + w + v = 30

from our solution, t = 14, v = 13

so,

14 + 7 + w

4 0
3 years ago
Find. What part of 40 is 16?
levacccp [35]

Answer:

40%

Step-by-step explanation:

because convert the fraction 16/40 and the answer is 40%

._.

8 0
3 years ago
Camacho is buying a monster truck. The price of the truck is xxx dollars, and he also has to pay a 13\%13%13, percent monster tr
alexandr402 [8]

Although the information has been presented in a baffling way in this question, but I think I understood the expressions.

We have been given that price of monster truck is x dollars and there is an 13% monster truck tax.

We can express the monster truck tax amount as\frac{13}{100}\times x = 0.13x.

Therefore, the total amount including tax will be x+0.13x = 1.13x.

We can now match each statement with its equivalent expression as shown below

The price of Camacho’s new truck before tax  = x

The amount of tax Camacho pays = 0.13x

Camacho’s total bill for the monster truck = 1.13x

None of these = 0.87x


6 0
3 years ago
A marble is selected at random from a jar containing 4 red marbles, 2 yellow marbles, and 3 green marbles.
s344n2d4d5 [400]

Answer:

4 / 9  probability of getting a red

Step-by-step explanation:

How many marbles are there total?

4 red + 2 yellow + 3 green = 9 marbles total

P( red marble) = 4 red / 9 total = 4/9

7 0
4 years ago
Read 2 more answers
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