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Nataly_w [17]
3 years ago
10

A line passes through point (3, 7) and has a slope of . The equation of the line is . If point A(x, 5) lies on the line, the val

ue of x is . NextReset
Mathematics
2 answers:
irina1246 [14]3 years ago
7 0

Answer:

(a) y = 3/4*x + 19/4

(b) x = 1/3

Step-by-step explanation:

Assumption: line slope (m) is 3/4  

(a)

Line general formula is y = m*x + b. In this exercise, you knew a point which lies on the line and its slope. So, replacing in the formula and solving for b gives

7 = 3/4*3 + b

b = 7 - 9/4

b = 19/4

Then, the equation of the line is y = 3/4*x + 19/4

(b)

Replacing the point into the formula obtained previously and solving for x gives

5 = 3/4*x + 19/4

x = (5 - 19/4)*4/3

x = 1/3

lakkis [162]3 years ago
3 0
3,7 = 7 * 3 = 21 * 5 = 105 so the next reset is 105. Hope I helped and god bless you and have a wonderful day.. 
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Two friends sold many pieces of furniture and made ​$1550 during their garage sale. They had fifteen more​ $10 bills than​ $50 b
Novosadov [1.4K]

Answer:

The number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

Step-by-step explanation:

Let n₁ = number of $ 10 bills,

Let n₂ = number of $ 20 bills and

Let n₃ = number of $ 50 bills

Given that 10n₁ + 20n₂ + 50n₃ = 1550    (1)

Also, since we have fifteen more​ $10 bills than​ $50 bills, n₁ = n₃ + 15  (2)

and we have 4 more than three times as many​ $20 bills as​ $50 bills. n₃ = 3n₂ + 4. (3)

substituting equations (2) and (3) into (1), we have

10(n₃ + 15) + 20n₂ + 50n₃ = 1550

expanding the bracket, we have

10n₃ + 150 + 20n₂ + 50n₃ = 1550

collecting like terms, we have

60n₃ + 150 + 20n₂ = 1550

inserting equation (3), we have

60(3n₂ + 4) + 150 + 20n₂ = 1550

expanding the bracket, we have

180n₂ + 240 + 150 + 20n₂ = 1550

collecting like terms, we have

200n₂ + 390 = 1550

subtracting 390 from both sides, we have

200n₂ = 1550 - 390

200n₂ = 1160

dividing both sides by 200, we have

n₂ = 1160/200

n₂ = 5.8

n₂ ≅ 6 since it cannot be a fraction.

Substituting this into (3), we have

n₃ = 3n₂ + 4 = 3(6) + 4 = 18 + 4 = 22

substituting n₃ into (2), we have

n₁ = n₃ + 15 = 22 + 15 = 37

So, the number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

3 0
3 years ago
Write an inequality to respresent the situation.
nasty-shy [4]

Answer:

hmmm i wish i could help you!

Step-by-step explanation:

hope u get the answer

3 0
3 years ago
A linear function contains the following points. What are the slope and y-intercept of this function?
Scrat [10]

Answer:

slope: -1

y-intercept: 6

Step-by-step explanation:

y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)

(6-8)/(0 - (-2)) = -2/2 = -1

8 0
2 years ago
According to a recent? study, 8.6?% of high school dropouts are? 16- to? 17-year-olds. In? addition, 5.7?% of high school dropou
Natalija [7]

Answer:

0.6628 or 66.28%

Step-by-step explanation:

The probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old is determined by the probability of them being a white 16 to 17 years old dropout (5.7%), divided by the probability of them being a 16 to 17 years old dropout of any ethnicity (8.6%):

P(W|16\ to\ 17)=\frac{P(W\ and\ 16\ to\ 17)}{P(16\ to\ 17)} =\frac{0.057}{0.086}\\P(W|16\ to\ 17)=0.6628=66.28\%

There is a 0.6628 or 66.28% chance that a randomly selected dropout is white, given that he or she is 16 to 17 years old.

8 0
3 years ago
Read 2 more answers
PLEASE SOLVE THIS ITS URGENT ​
mamaluj [8]
I am pretty sure that it should be D
7 0
3 years ago
Read 2 more answers
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