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deff fn [24]
3 years ago
7

1. Line that crosses through (6,4) with a slope of -23

Mathematics
2 answers:
navik [9.2K]3 years ago
5 0

Answer:

y= -23x+142

Step-by-step explanation:

we know that our equation has to look likethis

y=mx+b

where m is the slope and b is the y intercept

we're given that m = -23 so we have

y= -23x+b

we also know that when x=6 y=4 so we can just plug those values in and solve for b

4= -23(6)+b

142=b

Which means our equation is

y= -23x+142

avanturin [10]3 years ago
5 0
Y= -23x+142
m= -23
y-b=m(x-a)
(a,b) = 6,4
y-4= 23(x-6)
multiply out and move 4 to the right
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judy got 117 problems right on a math test in her night school class. She got a score of 78% right. How many problems were on th
scZoUnD [109]
You would set this up as Part÷Whole=Percent÷100
Part=117
Whole= X
Percent=78
117÷X=78÷100
Set these up as fractions and cross multiply. You will get 117×100=78X
117×100=11,700
Divide both sides by 78 and you get x=150
There were 150 problems
6 0
3 years ago
Solve: 3n - 6 = -8(6 +5n)<br> and explain how to solve it
hjlf

Answer:

Step-by-step explanation:

First use distributive property: a(b + c) = a*b + a*c

3n - 6 = -8(6 + 5n)

3n - 6 = 6 * (-8) + 5n *(-8)

3n - 6 = -48 - 40n

Now add 40n to both sides

3n - 6 + 40n = -48 - 40n + 40n

43n - 6 = -48

Now add 6 to both sides

43n - 6 + 6 = -48 + 6

           43n = -42

               n = -42 /43

4 0
2 years ago
Read 2 more answers
Tamora just made the last of her monthly payments on her loan. She had been making these payments for the past nine years. The l
Law Incorporation [45]
Answer : $3403.53

Detailed Solution: 
<span>principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below: 

pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91 
</span>
4 0
3 years ago
Read 2 more answers
A cylinder holds 27.72 litres of water,when full.Find the hieght of the cylinder if the diameter is 42cm​
krek1111 [17]

Answer:

27.72litres=27.72×1000 cm^3

(¡)Height of cylinder=27720×7/(22×21^2)=20cm

Step-by-step explanation:

(¡)First convert litres in to cm^3 take it as the volume of the cylindrical container

(¡¡)Then use V=22/7×r^2×h equation and substitute the values to V and r. Then find the value of h

#V=27.72×1000 (V= volume)

# r = 42/2=21 (r = radius)

8 0
2 years ago
A post office charges 50k for a telegram of 15 words or less it charges an extra 3k for every word above 15 words find the cost
Jlenok [28]

Answer:

95k

Step-by-step explanation:

Given :

15 words or less = 50k

Every word above 15 = additional 3k

The cost of 30 words :

First 15 words = 50 k

Number of additional words = (30 - 15) = 15 words

Cost of every additional word = 3 k

Cost of 15 additional word = 15 * 3 = 45k

Total cost of 30 words :

50k + 45k = 95k

5 0
2 years ago
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