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Arte-miy333 [17]
4 years ago
8

Which equation passes through the point (2, 3) and has a slope of -1/3

Mathematics
1 answer:
nata0808 [166]4 years ago
3 0

Answer:

y = -x/3 + 11/3

Step-by-step explanation:

Finding equation

Given

Slope = -1/3

Point = ( 2 , 3)

using a point slope form equation

y - y1 = m( x - x1)

( 2 , 3)

x1 = 2

y1 = 3

y - 3 = -1/3( x - 2)

y - 3 = -(x - 2)/3

y - 3 =( -x + 2) / 3

y = ( -x + 2)/3 + 3

LCM = 3

y =( -x + 2 + 9)/3

y = ( -x + 11)/3

Separate to get the slope and the intercept

y = -x/3 + 11/3

The equation of the line is

y = -x/3 + 11/3

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To get a B in​ math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82​,74​,82​,and 74.Wha
motikmotik

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in​ math, Alexandria Pappas must<u> average 80</u> on five tests.

Scores on the first four tests were <em>82​, 74​, 82​, and 74.</em>

Question asked:

What is the lowest score that she can get on the last test and still get a​ B?

Solution:

Let lowest score she can get on the last test = x

As we know:

Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\

By cross multiplication:-

80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x

Thus, she can get 88 score on the last test to get a B in​ math.

5 0
4 years ago
six angles of a heptagon measure 107, 139, 131, 110, 145. and 128. what is the measure of the seventh angle​
alexgriva [62]

the measure is 140, I basically summed all of the angles of a polygon of “n”, which is 7, then I did 7-2 times 180 (900) so I can finally add up all of your measurements

3 0
3 years ago
Each time Shelley goes tobthe store she likes to buy gum.She buys one pack for $1.00 and then another pack for $0.50 more.How mu
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Answer:

$2.50

Step-by-step explanation:

Shelley buys one pack of gum for $1

Price of gum: $1

Total amount of money spent: $1.00

Shelley buys another pack of gum for $0.50 more

1 + 0.50 = 1.5

Price of gum: $1.50

Total amount of money spent: $2.50

3 0
3 years ago
To make 100g of jam you need 57g
asambeis [7]

Answer:

The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

Step-by-step explanation:

As we have to make 100g of jam

so

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  • Amount of blackberries = 13g

Thus

The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g

Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

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4 years ago
A ribbon is 30cm long and it is cut into three pieces such that each piece is 2cm longer than the next. Represent this as an equ
Alisiya [41]

Answer:

Step-by-step explanation:

3 pieces such that each piece is 2 cm longer then the next...

x , x + 2, x + 4

x + x + 2 + x + 4 = 30

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3x = 30 - 6

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x = 8

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check...

8 + 10 + 12 = 30

18 + 12 = 30

30 = 30 (correct)...it checks out

the ribbon lengths are : 8 cm, 10 cm, and 12 cm

3 0
4 years ago
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