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Over [174]
3 years ago
13

Which of the point-slope equations below are correct for the line that passes through the points (6,6) and (3,1)?

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0
(6,6)(3,1)
slope(m) = (1 - 6) / (3 - 6) = -5/-3 = 5/3

y - y1 = m(x - x1)...using (6,6)
y - 6 = 5/3(x - 6) <== here is one

y - y1 = m(x - x1)...using (3,1)
y - 1 = 5/3(x - 3) <== here is the other one
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Jack recieved $600 for his birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he
Gwar [14]

so 21 - 13, the money will be invested for 8 years.


\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$600\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\to &1\\ t=years\to &8 \end{cases} \\\\\\ A=600\left(1+\frac{0.08}{1}\right)^{1\cdot 8}\implies A=600(1.08)^8\implies A\approx 1110.558126

8 0
2 years ago
Allison has 4 1/2 cups of sugar. She used 2/3 of it to make cookies. How much sugar did Allison use for the cookies?
solmaris [256]
Answer:

1 1/2 cups

Work: 2/3 of 4 1/2= 3
4 1/2-3= 1 1/2
7 0
2 years ago
Read 2 more answers
A group walked 3/8 mile in 1/5 hour. Which is the groups walking speed in miles per hour
gogolik [260]

Answer:

The groups walking speed is 1\frac{7}{8}\frac{miles}{hour}  or 1.875\frac{miles}{hour}

Step-by-step explanation:

we know that

To find the speed divide the distance by the time

so

\frac{(3/8)}{(1/5)}=\frac{15}{8}\frac{miles}{hour}

Convert to mixed number

\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\frac{miles}{hour}

6 0
3 years ago
NOT A TEST!!! 25 POINTS!!! which ordered pair represents a point that is 3 points to the left and 2 points obove point t
nordsb [41]

Answer:(0,6)

Step-by-step explanation:

go to the left 3 points from T

then you go up 2 points from the number 4 which you should end up on after going over 3 spots.

7 0
3 years ago
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Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year
vlabodo [156]

Answer:

x + 5 = (x + 5) - 5, which has no solution ⇒ answer C

Step-by-step explanation:

* Lets study the situation in the problem

- Jessica is 5 years older than her sister Jenna

- After five years Jenna's age will be as old as Jessica was five years ago

- Jenna's age now is x

* Lets change all information above to equation

∵ Janna's age now is x

∵ Jessica is 5 years old than Janna

∴ The age of Jessica now is x + 5

- After 5 years Janna's age will be add by 5 years

∵ Her age now is x

∴ Her age after 5 years will be x + 5

- From 5 years ago Jessica's age was her age now mins 5 years

∵ Her age now is x + 5

∴ Her age from 5 years ago is (x + 5) - 5

∵ Janna's age after 5 years = Jessica age from 5 years ago

∴ x + 5 = (x + 5) - 5

- Lets solve the equation to know how many solution

∵ x + 5 = x + 5 - 5 ⇒ add the like terms

∴ x + 5 = x ⇒ subtract x from both sides

∴ 5 = 0

- But 5 ≠ 0, the two sides of the equation not equal each other

∴ There is no solution for this equation

* The equation is x + 5 = (x + 5) - 5, which has no solution

8 0
3 years ago
Read 2 more answers
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