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Work Shown:
Solve the given equation for y
2y = 3x - 10
y = (3x-10)/2 ..... divide both sides by 2
y = (3x)/2 - 10/2
y = (3/2)x - 5
The equation is in y = mx+b form with m = 3/2 as the slope.
The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.
Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1
(3/2)*(-2/3) = -1
This is true for any pair of perpendicular lines, assuming neither line is vertical.
The ratio of adult tickets sold to child tickets sold was 3:2, how many
child tickets were sold?
Answer:
3
Step-by-step explanation:
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $8 each and will sell 900 tickets. There is one $3,000 grand prize, two $500 second prizes, and ten $10 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Step-by-step explanation:
the probability that the ticket will win you 600 dollars * 1/1500 = 600/1500.
the probability that the ticket will win you 50 dollars is 50 * 5/1500 = 250/1500.
the probability that the ticket will win you 25 dollars is 25 * 20/1500 = 500/1500.
your expected value is -1 + 600/1500 + 250/1500 + 500/1500 = -.1.
the average loss for each dollar that is bet is equal to 10 cents.
hope this helped
Volume entering the small intestine: 9,600 mL
Volume entering the large intestine: 560 mL
Volume leaving the large intestine: 140 mL
Required:
a. What percentage of the water entering the small intestine is absorbed by the small intestine?
b. In contrast, what percentage of the water entering the small intestine is absorbed by the Volume leaving the large intestine: 140 mL large intestine?
Answer and explanation:
The large and small intestine absorb water but the small intestine absorbs more water than the large intestine. Here the small intestine absorbs 9040 ml of water out of 9600ml while the large intestine absorbs the 560ml and 140ml leaves. To calculate percentage that was absorbed by the large intestine(percentage entering the small intestine) and also leaves, we divide the volume that leaves(140ml) by total volume absorbed(560ml) and multiply by 100.
Volume of water entering the small intestine= 9600 ml
Volume of water entering the large intestine= 560 ml
Volume of water leaving the large intestine = 180 ml
Percentage of water entering the small intestine and absorbed by the small intestine= 9600ml - 560 ml= 9040
=9040/9600*100/1= 94.16%
Percentage of water entering the small intestine and absorbed by the volume leaving the large intestine = 560ml-140ml= 140/560*100/1= 25%
Also percentage of water absorbed by large intestine and doesn't leave the large intestine = 420/560*100/1= 75%
a. The percentage of the water entering the small intestine is absorbed by the small intestine is 94.16%
b. The percentage of the water entering the small intestine is absorbed by the Volume leaving the large intestine 140 mL large intestine is 4.375%.
Calculation of the percentage:(a)
Volume leaving the small intestine should be
= 9600 - 560
= 9040
Now the percentage should be
[tex]= 9040 \div 9600[/tex]
= 94.16%
(b) Water absorbed by large intestine should be = 560 - 140 = 420 ml
Now the percentage should be
[tex]= 420 \div 9600[/tex]
= 4.375%
learn more about the percentage here: https://brainly.com/question/24552083
A farmer can harvest 54 pounds of corn from each acre in his
field. How much corn can he get from 12.5 acres?
Answer:
675 pounds
Step-by-step explanation:
12.5 multiplied by 54 He gets 54 pounds from one acre and he has 12.5 acres so each acre is 54 pounds.
elementry math lesson 3.11 5th grade page 70
Answer:
Her milk was $1.18
Step-by-step explanation:
$7.75+$0.47=$8.22
$10.00-$8.22=$1.18
3 friends want to go for a hike.
They pack enough water to last for 6 hours.
3 more people join the hike.
How long will their water last now?
Give your answer in hours.
Please answer asap
Answer:
2hrs per person
Step-by-step explanation:
Solve:
3/x-4>0
Ox<4
Ox>-4
Ox>4
OX<-4
Answer:
x>4
Step-by-step explanation:
Help please anyone...
Answer:
A.) -5
Step-by-step explanation:
-3×-5 = 15 (two negatives equal a positive)
15-4 = 11 which is greater than 7
feel free to mark brainliest if this helped you :)
Maggie is training for the croos country meet. On the first day she runs 500m. Each day that she runs 250m more than the day before. At this rate Maggie thinks she can reach her goal of 5km in a single day on the 21stcday. Her sister says she will match the goal on the 19th day
Answer:
Sister is correct.
Step-by-step explanation:
Given:
Starting distance a = 500 m
Extend ever day d = 250 m
Final distance = 5 km = 5,000 m
Find:
Number of days n
Computation:
An = a + (n-1)d
5,000 = 500 + (n-1)250
n = 19 days
Number of days n = 19 days
Sister is correct.
Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week? The percent written as a part-to-whole ratio is to 100. 150 divided by is equal to 75. 100 divided by is equal to . Zara ate almonds last week.
a. The amount of almonds that Zara ate last week is equal to 50.
b. The percent written as a part-to-whole ratio is 150:100.
c. 150 divided by 2 is equal to 75.
Let the number of almonds that Zara ate last week be L.Given the following data:
Amount of almonds = 75 almondsPercentage = 150%a. To determine the amount of almonds that Zara ate last week:
[tex]\frac{150}{100} \times L = 75\\\\1.5L =75\\\\L=\frac{75}{1.5}[/tex]
L = 50 almonds
b. The percent written as a part-to-whole ratio is:
Part = 150%Whole = 100%Part-to-whole ratio = 150:100
c. 150 divided by ___ is equal to 75:
[tex]\frac{150}{y} =75\\\\150=75y\\\\y=\frac{150}{75}[/tex]
y = 2
Ratio: https://brainly.com/question/12212308
Answer:
the first one is 150
second one is 2
third one is 2
fourth is 50
fifth one is 50
Step-by-step explanation:
hope this helps!! i took assignment
HURRY PLEASE I NEED TO TURN THIS IN TODAY!!
I WILL GIVE YOU BRAINLIEST!
Answer:
21=x
Step-by-step explanation:
75=4x-9
84=4x
21=x
A plumber has a 2.5 metre long copper pipe he needs to cut lengths of 60cm 35cm and 90cm work out how much of the initial 2.5 metre long pipe is left give your answer in cm
Answer:
2.5 meters = 250 cm
Step-by-step explanation:
16. The original price of a tie is $12.50. The new price of the tie is now
$7.50. By what percentage was the tie marked down? *
Simplify (4.5)(5)(−2). (1 point) a 45 b 4.5 c −4.5 d −45
Answer:
D cause it equals -45
Step-by-step explanation:
what are the x-intercepts of the graph of the function f(x)=x^2+5x-36?
Answer:
-9 and 4
Step-by-step explanation:
Answer:
(4,0) and (-9,0)
Step-by-step explanation:
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms. y= (3x+4)(- 5x - 6)
Answer:
x1= -4/3 x2= -6/5
Step-by-step explanation:
y= (3x+4)(-5x-6)
now first we replace y with a zero 0
0=(3x+4)(-5x-6)
now we put the 0 to the right
(3x+4)(-5x-6)=0
when the product of factors 0, at least one of the factors is 0 so we do this:
3x+4=0
-5x-6=0
now we solve 3x+4=0 and it leads to:
x=-4/3
after that we do the same for -5x-6=0:
x2=-6/5
sorry if you dont understand it too good, im not really good at explaining, and its also my first time answering in this app, but i hope you understand and it solves your problem!
which algebraic description maps the point (x,y) 8 units to the left and 12 units up
Answer:
Horizontal and vertical shift
Step-by-step explanation:
X changes to (x+8) +12
It’s a horizontal shift of -8 and a vertical shift of 12
A small business owner contributes $1000 at the end of each quarter to a retirement account that earns 4% compounded quarterly.A) How long will it be until the account is worth $150,000?B) Suppose when the account reaches $150,000, the business owner increases the contributions to $8,000 at the end of each quarter. What will the total value of the account be after 15 more years?
Answer:
ttttttyyyyyyyyyhghhh
Is this correct
Please help im confused
Will give brainliest if it’s correct
Answer:
Think its correct
Step-by-step explanation:
What is
2 tan(10)/1-tan?(10)
expressed as a single trigonometric ratio?
tan(209)
tan(5)
tan(59)
tan(209)
Answer
It's tan(20) and D on edg
Step-by-step explanation:
Find the value of x.
Answer:
x=30
Step-by-step explanation:
a straight line is 180 degrees so to figure out x you would do 180-151 which equals 29 however if u plug 29 in for x it wouldn't work because (29-1) equals 28 and 151+28 do not equal to 180 degrees so x would equal 30 because (30-1) is 29
Step-by-step explanation:
straight line = 180°
x= 180 - 151 +1
x = 30
missing angle = x -1
= 30 - 1
= 29
HELPPPP PLEASEEEEEEEE
EEEE
Answer:
16v
3
Step-by-step explanation:
Answer:
3
16v
Step-by-step explanation:
Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. She knows that the distance between the x-coordinates is
units. Which of the following fractions will let her find the x-coordinate for point C?
A.3/5
B.3/2
C.2/3
D.2/5
The fractions will let her find the x-coordinate for point C is 2/5
How to calculate the midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as:
[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Substitute the given coordinate into the formulas:
[tex]M(x,y) = (\frac{3(2)+3(6)}{2+3},\frac{2(2)+3(11)}{2+3}) \\M(x,y) = (\frac{24}{5},\frac{37}{5}) \\M(x,y) = (4.8,7.4)[/tex]
From the calculation, we can see that the fractions will let her find the x-coordinate for point C is 2/5
Learn more on midpoint here: https://brainly.com/question/5566419
what is the slope of the line that passes through these two points (0, -2) and (3, -4)
Answer:
2/3 because of rise over run it is a valid answer
15.3
×6.4
------- show work
Answer:
15.3
×6.4
-------
I am going to attach a Photo so you can understand it more.
Step-by-step explanation:
I hope this helped you.
Please mark Brainliest.
Have a great day!!!!!!!!!!
What can we conclude if, in general, the graph of a polynomial function exhibits the
following end behavior? As x → -00, f(x) → -- and as x > 0, f(x) →.
The polynomial function is of even degree and the leading coefficient is positive.
The polynomial function is of odd degree and the leading coefficient is negative.
The polynomial function is of odd degree and the leading coefficient is positive.
The polynomial function is of even degree and the leading coefficient is negative.
There's missing information. What does f(x) approach as x approaches negative infinity and infinity?
Answer:
1st answer: The polynomial function for this graph is of
odd degree and the leading coefficient is negative
2nd answer: The polynomial function for this graph is of even
degree and the leading coefficient is negative
Degree and Leading Coefficient
Step-by-step explanation:
(16,1),(17,7) slope
Answer:
The answer is 6Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}\\[/tex]
From the question we have
[tex]m = \frac{7 - 1}{17 - 16} = \frac{6}{1} = 6 \\ [/tex]
We have the final answer as
6Hope this helps you
Answer:
Step-by-step explanation:
Answer:
The slope of line is 1
Step-by-step explanation:
We need to find slope of line given points (16,1),(17,7)
The formula used to find slope of line is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given:
[tex]x_1=16, y_1=1, x_2=17 \ and \ y_2=7[/tex]
Finding slope using formula:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-6}{17-16}\\Slope=\frac{1}{1}\\Slope=1[/tex]
So, the slope of line is 1
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make a total profit of $78. Using the equation 8 (x + 2.75) = 78, Rita determined that she needs to sell each necklace for $7 to make a total profit of $78. Which error did Rita make?
Although she has the correct equation, she needs to sell each necklace for $12.50.
Although she has the correct solution, she should have used the equation 8 (x minus 2.75) = 78.
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
The equation should be StartFraction 1 over 8 EndFraction (x minus 2.75) = 78, and she needs to sell each necklace for $75.25.
9514 1404 393
Answer:
The equation should be 8 (x minus 2.75) = 78, and she needs to sell each necklace for $12.50.
Step-by-step explanation:
The contribution margin of each necklace is the difference between its selling price (x) and its cost (2.75). Then the total profit from 8 necklaces would be ...
8(x -2.75)
If Rita wants that profit to be $78, then she needs to solve the equation ...
8(x -2.75) = 78 . . . . correct equation
The solution is ...
x -2.75 = 9.75 . . . . divide by 8
x = 12.50 . . . . . . . . add 2.75
She needs to sell each necklace for $12.50.
Answer: c
Step-by-step explanation:
School principal design a square Courtyard outside school separate into four equal spaces she wants to know the total area of the courtyard what is the total area of each smaller space is 5 feet on each side
Answer: The answer is 100 feet
if a car travels 40 miles in 1 hour how much miles will it be if they traveled for 3 hours
Answer:
120 miles
Step-by-step explanation:
40 times 3 equals 120
Answer:
120 miles in 3 hours
Step-by-step explanation:
1 times 3 = 3 hours
40 times 3 = 120 miles
This means that in 3 hours the car can drive 120 miles.