Given:
A line passing through point (2,5) with gradient 3.
To find:
The equation of the line.
Solution:
Point slope form: if a line passes through the point [tex](x_1,y_1)[/tex] and m is the slope or gradient, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=3(x-2)[/tex]
[tex]y-5=3(x)+3(-2)[/tex]
[tex]y-5=3x-6[/tex]
Adding 5 on both sides, we get
[tex]y=3x-6+5[/tex]
[tex]y=3x-1[/tex]
Therefore, the equation of the line is [tex]y=3x-1[/tex].
Jose spent $19 on a hair cut and left a $20 tip. What was the amount he left for the tip?
Answer:
$39
Step-by-step explanation:
19+20=39
because the $20 is additional while $19 is the original, therefore you add the two digits together to get $39
Answer:
$380.00
Step-by-step explanation:
20% of $19.00
19.00 x 20
= $380.00
in the scale drawing what will the length of the West side be?
Put in ascending order 0.32, -1.9, square root of 5, 2 pi, 2/3
Answer:
-1.9, 0.32, 2/3, sqrt5, 2pi
Step-by-step explanation:
Please help me with this for brainliest.....
Answer:
a=542
Step-by-step explanation:
you welcome have a good day
Answer:
the answer will be a=524
Step-by-step explanation:
Q. Three years ago, the population of a certain species of bird was calculated at 20 birds per acre
This year, a biologist recorded a total of 47 birds in an area equal to 3.25 acres. By about what
percentage has the bird population in the biologist's sample decreased over the last 3 years, to
the nearest tenth?
A. 14.7%
B. 27.7%
C. 38.3%
D. 42.6%
E. 72.3%
Question 4
4 pts
You roll 2 fair 6-sided dice. What is the probability of rolling a sum of 7 or more?
18/36 or 1/2
20/36 or 5/9
19/39
21/36 or 7/12
Answer:
here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).
Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.
Now, it is time to calculate the probability.
The required probability is,
p = (No. of cases favorable for the event)/(Total no. of cases)
=6/36 =
Step-by-step explanation:
Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is seven?
What is the value of the variable in the equation, y/12=7 *
please help me with this
Answer:
y=84
Step-by-step explanation:
12*7 = 84
A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case in ONE STEP, my equation Part = %*whole will be...
Answer:
$8
Step-by-step explanation:
5 increase 60% =
5 × (1 + 60%) = 5 × (1 + 0.6) = 8
What is fifty seven over one hundred
Answer:
57/100
Step-by-step explanation:
57/100
Fifty-seven(57) over one-hundred(100), or 57 more than 100 would be 157!
Hope this helps, if not, comment below please!!!
:L
please help i’ll give you brainliest and a thanks
Answer:
[tex]3g + 40[/tex] and g= 60
Step-by-step explanation:
hope this helps have a good rest of your night :) ❤
A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.
Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.
what is the common difference of the arithmetic sequence -7,-4x,-x,2x,5x
Help asap please
Answer:
-7 — -4=-3
so the common diff.
-3.
Step-by-step explanation:
hopr helps
Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?
Answer:
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Step-by-step explanation:
P.S - the exact question is -
As given
Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours
He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours
Wednesday - [tex]1\frac{1}{4}[/tex] hours
Thursday - 1 hour
Let the remaining practice = x hours
⇒ Total practice = [tex]4\frac{1}{2}[/tex] hours
⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]
⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]
⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]
⇒x - 1 = [tex]-\frac{1}{4}[/tex]
⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]
⇒x = [tex]\frac{3}{4}[/tex] hour
∴ we get
Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour
Can somebody help me with this question.
A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,
Rate = 48 / 5 fl oz per minute
We know that 1 gal = 128 fl oz, then we have
Rate = (48 / 128) / (5 / 60)
Rate = (48 x 60) / (128 x 5)
Rate = 2880 / 640
Rate = 4.5 gallons per hour
The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.
More about the conversion link is given below.
https://brainly.com/question/9414705
#SPJ2
Tiffany earns an annual income of $ 55 , 000 . After she pays taxes, her take-home pay is $ 41 , 800 . Tiffany gives 5 % of her take-home pay to a stock broker to invest into the stock market. At the end of the year, her investment earned 8 % . How much money did Tiffany's investment earn in the stock market?
Answer:
1678.95
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!
Answer:
Length = 6 inches
There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?
Answer:
500 bricks.
Step-by-step explanation:
There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?
To solve e the above question, we have:
20 feet high = 250 bricks
40 feet high = x bricks
Cross Multiply
20 feet × x bricks = 40 feet × 250 bricks
x bricks = 40 feet × 250 bricks/20 feet
x bricks = 500 bricks
Therefore, 500 bricks will be used to build a wall is 40 feet high.
Jaclyn paid $620 to stay at a hotel. She paid $124 per
night for each of two rooms. How many nights, n, did
Jaclyn stay at the hotel?
I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!
The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
Step-by-step explanation:
Answer:
Tacos-6
Burritos-8
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(3b+4t=48)
1(6b+2t=60)
Becomes:
−6b−8t=−96
6b+2t=60
Add these equations to eliminate b:
−6t=−36
Then solve−6t=−36for t:
−6t=−36
−6t
−6
=
−36
−6
(Divide both sides by -6)
t=6
Now that we've found t let's plug it back in to solve for b.
Write down an original equation:
3b+4t=48
Substitute6fortin3b+4t=48:
3b+(4)(6)=48
3b+24=48(Simplify both sides of the equation)
3b+24+−24=48+−24(Add -24 to both sides)
3b=24
3b
3
=
24
3
(Divide both sides by 3)
b=8
Answer:
b=8 and t=6
True or false: f(x) is a function.
4
8
1
12
f(x)
6x times (-2y)
Urgent please send solution
Answer:
_2y6x
Step-by-step explanation:
this is the answer
I hope it will helps you
What is the exponent form? 6 x 6 x 6
A. 6 cubed
B. 6 to the power of 2
C. 6 squared
D. 6 x 3
Answer:
C.6 squared
Step-by-step explanation:
-3x>18
(not in high school in middle school)
Answer:
x<-6
Step-by-step explanation:
-3x>18
Divide by -3, flip the sign since dividing by a negative.
x<-6
Answer:
x < -6
Step-by-step explanation:
Rate A puppy not mine cant find a pic of mine but mine is a micro mini golden doodle
Answer:
10/10
Step-by-step explanation:
pretty good looking pup good snout good fur nice colors overall good pup
which statements are true about the graph of Y is less than 2/3 X +1? Check all that apply
Answer:
the area below the line is shaded
Step-by-step explanation:
Find BC please help!
Answer:
BC=23
Step-by-step explanation:
Use sine rule:
x/sinX=y/sinY
BC/sinA=AB/sinC
BC/sin61=9/sin20
BC=26.3142396015*sin61
BC=23.0149525338
i will give brainliest
Answer:
230°
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
Corresponding Angles Theorem
Riley has 3 hours to play outside to play before diner. She spends 3/5 of that time playing outside how long does riley play outside
Answer:1.8 hours
Step-by-step explanation:
just devide and stuff
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
