y=3x - 5....(i)
6x+3y=15.....(ii)
Then,
Keeping value of y in (ii)equation;
or,6x+3(3x-5)=15
or,6x+9x-15=15
or,15x=15+15
or,x=30/15
:x=2
Now, Keeping value of x in (i) equation;
y= 3x-5
or, y= 3×2 - 5
or,y= 6-5
: y=1
If ABCD is a rectangle, find the measure of angle ABD.
Answer: 31 degrees
Step-by-step explanation: Angle ABD and BDC are alternate interior angles, meaning that they are congruent. Therefore, the measure of angle ABD is 31 degrees.
The measure of angle ABD is 31°
What are alternate interior angles?Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.
Given;
Angle CDB= 31°
Now
Angle ABD= Angle CDB (alternate interior angles)
Angle ABD= 31°
Therefore, angle ABD will be 31°
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Why do people say that black ops 2 is the best? I will give brainlest
Answer:
They say it because the wanna be different from others lol
Please give me brainliest
Step-by-step explanation:
Answer:
people say that black ops 2 is the best because of the replayabilty and its story line not so much zombies tho
A survey of nonprofit organizations showed that online fundraising has increased in the past year. Based on a random sample of 133 nonprofits, the mean one-time gift donation resulting from email outreach in the past year was $85. Assume that the sample standard deviation is $9. Identify the correct 95% confidence interval estimate for the population mean one-time gift donation.
Answer:
The answer is below
Step-by-step explanation:
Given that:
Confidence interval (C) = 95%, mean (μ) = 85, standard deviation (σ) = 9, sample size (n) = 133
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.025
The z score of α/2 (0.025) is the same as the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.
The margin of error (E) is given as:
[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{9}{\sqrt{133} } \\\\E=1.53[/tex]
The confidence interval = (μ ± E) = (85 ± 1.53) = (83.47, 86.53)
The confidence interval is between 83.47 and 86.53.
Help me please on both of y’all can
Answer: 384 ft^2
Step-by-step explanation:
Like it said set up a proportional equation and solve for dimensions in feets.
The scale factor saids 0.75 in = 2 ft
And the dimensions are 6 in by 9 in
Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .
[tex]\frac{0.75}{6} = \frac{2}{x}[/tex] Solve by cross multiplying
0.75x = 12
x = 16
[tex]\frac{0.75}{9} = \frac{2}{x}[/tex] Cross multiply
0.75x = 18
x = 24
Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .
16 * 24 = 384 ft^2
Josh wants to add a model of a tree house to his model railroad layout how big should the tree be if the actual tree is 315 inches and the scale is 1:90
Answer:
3.5 inches on the scaled model
Step-by-step explanation:
So using the ratio, 1:90 I thought of two ways to solve this
1) Proportion
2) Equation
Using the proportion method
1:90=x:315
Now cross multiply
315=90x
Now solve and you’ll get 3.5
Equation is just
315/90=X?
Just solve and you’ll also get 3.5
a train is running at a speed of hundred kilometre per hour how much distance will it run in 12 minutes
Step-by-step explanation:
In an hour, there are 60 minutes.
100km * (12/60) = 20km.
Hence the train runs 20km in 12 minutes.
Cornelius has 25 nickels, 39 dimes, 22 quarters, and 12 fifty-cent pieces. How
much money does he have?
Answer:
16.65$
Step-by-step explanation:
Answer:
16.65
Step-by-step explanation:
Solve for
m
.
−
5
m
=
−
35
m =
Answer: 7
Step-by-step explanation: -35 / -5 = 7
Answer:
The answer is 7. I did the lesson and 7 was the correct answer
Step-by-step explanation:
Zachary earns $8.00 per hour. He get paid time and a half for any hours over 40 that he works in a week. If Zachary works 9 hours per day from Monday through Friday, what are his gross earnings for the week?
Answer:
27 bc he warms hard and should get a raise
Step-by-step explanation:
Graph f(x) = 4[x] +5.
Answer:
See image for reference
Step-by-step explanation:
Answer:
Its b
Step-by-step explanation:
7. What is the smallest angle in the triangle below?
Answer:
Angle a is the smallest
Find the distance between the points (2.8) and (54).
Answer:
It's 51.2
Step-by-step explanation:
All u gotta do is subtract 54 - 2.8
The heights of green bean starter plants at a nursery are Normally distributed with a mean of 40 centimeters. If a green bean plant that has a z-score of 1.67 has a height of 45 centimeters, then what is the standard deviation of this Normal distribution? Round your answer to the nearest hundredths.
Answer:2.99 on edge
Step-by-step explanation: i got the question wrong just for the answer hope this helps
Answer:
2.99 on edge
Step-by-step explanation:
Solve the equation. Then check your solution.
-8p =-3 1/4
a. 4 3/4
b. - 13/32
c. 13/32
d. 26
Answer: C
Step-by-step explanation:
-8p = -3 1/4 The first think you want to do is convert the mixed fraction into an improper fraction.
-8p = -13/4 Now multiply both sides of the equation by 4.
-32p = -13 Divide both sides by -32
p = 13/32
Can somebody please help with this?
A store has 300 televisions on order, and 40% are high definition. How many televisions on order are high definition? You may find the bar model useful in completing this problem.
Answer:
120
Step-by-step explanation:
There are 120 high definition televisions are in Order.
What is Percentage?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
Here,
Total television = 300
Percentage of High definition television = 40%
Number of total high definition television = 40/100 X 300
= 40 X 3
= 120
Thus, There are 120 high definition televisions are in Order.
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Express each ratio as a fraction in the simplest form.
21 beetles out 36 insects
Answer:
8274
Step-by-step explanation:
How do I solve this? Do I have to divide and do other steps?? Help please :/
Step-by-step explanation:
its decreasing so 2007 had 84.134 sheep farms so u gotta subract by a number to year 2080 and to get 79.300
A 24,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes
will it take to fill this pool full?
Answer: 480 minutes or 8 hours
Step-by-step explanation:
24,000 ÷ 50 = 480.
It will take 480 minutes to fill the pool.
480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.
Hope this helps!
Answer:
480 Minutes or 8 Hours
Step-by-step explanation:
If you do 24,000 divided by 50 you get a result of 480
Relationships between x and y
Answer:
they love each other
Step-by-step explanation:
...........
reduce the ratio to its simpliest form 208/52
Answer:
4
Step-by-step explanation:
208 ÷ 52 = 4
52 × 4 = 208
Hope this helped a little!
208/52
= 4
you could have simply cancelled out or even use a calculator
Round 72.807 to the nearest tenth.
72.81
70
72.9
72.8
Using two normal number cubes, what is the probability of rolling numbers
that add up to 4?
A. 1/18
B. 1/36
C. 1/12
D. 1/9
Answer:
1/12
Step-by-step explanation:
When we roll 2 dice, there are 36 possible rolls
How can we get 4
1and 3, 3 and 1, 2 and2 = 3 different rolls
P( 4) = number of rolls with sum of 4/ total rolls
= 3/36 = 1/12
A 1000-liter tank initially contains a mixture of 450 liters of cola and 50 liters of cherry syrup. Cola is added at the rate of 8 liters per minute, and cherry syrup is added at the rate of 2 liters per minute. At the same time, a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute. Let S(t) be the amount (measured in liters) of cherry syrup in the tank at time t, where t is measured in minutes.(a) Formulate an initial-value problem for the the amount of cherry syrup in the tank overtime.(b) Solve the initial-value problem using an integrating factor.(c) What percentage of the mixture is cherry syrup when the tank is full?
Answer:
A) dS/dt = 2 - S/(100 + t) ; S(0) = 50
B) S(t) = (100 + t) - 5000/(100 + t)
C) 35%
Step-by-step explanation:
A) Let;
t = time in minutes
S = amount of syrup
dS/dt = rate at which syrup is flowing through tank
We are told that initially, the tank contains a mixture of 450 liters of cola and 50 liters of cherry syrup.
Thus,
At t = 0
Amount of cola = 450 litres
Amount of syrup = 50 litres
Total mixture = 450 + 50 = 500 litres
We are told that a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute.
Thus, amount of liquid in the tank at a time "t" is; 500 + 5t
We are told that cherry syrup is added at the rate of 2 liters per minute.
Thus, rate at which syrup is flowing through tank is given as;
dS/dt = 2 - 5[S/(500 + 5t)]
Factorizing out, we have;
dS/dt = 2 - 5[S/5(100 + t)]
5 will cancel out to give;
dS/dt = 2 - S/(100 + t)
Since we have 50 liters of cherry syrup initially, the initial value problem is;
dS/dt = 2 - S/(100 + t) ; S(0) = 50
B) We have our initial value problem as;
dS/dt = 2 - S/(100 + t)
Rearranging, we have;
dS/dt + S/(100 + t) = 2
Multiplying through by 100 + t gives;
(dS/dt)•(100 + t) + S = 2(100 + t)
Integrating each term with respect to t gives;
(100 + t)S = (100 + t)² + c
Divide both sides by (100 + t) to get;
S = (100 + t) + c/(100 + t)
At t = 0;
S(0) = (100 + 0) + c/(100 + 0)
S(0) = 100 + c/100
Recall earlier in our initial value problem where we stated that S(0) = 50.
Thus;
100 + c/100 = 50
Subtract 100 from both sides to givw;
c/100 = 50 - 100
c/100 = -50
c = -50 × 100
c = -5000
Thus;
S(t) = (100 + t) - 5000/(100 + t)
C) The capacity of the tank is given as 1000 liters.
Earlier, we saw that amount of liquid in the tank at a time "t" is; 500 + 5t
Thus;
500 + 5t = 1000
5t = 1000 - 500
5t = 500
t = 500/5
t = 100 minutes
We want to find What percentage of the mixture is cherry syrup when the tank is full.
Thus we will plug in t = 100 minutes into S(t) = (100 + t) - 5000/(100 + t)
Thus;
S(100) = (100 + 100) - 5000/(100 + 100)
S(100) = 200 - 25
S(100) = 175 litres
We saw earlier that total mixture initially was 500 litres.
Thus, percentage of the mixture that is cherry syrup when the tank is full is;
175/500 × 100% = 35%
Mr. Chen is buying cookies for the teachers and staff at Liberty Middle School. Each box contains 10 chocolate chip, 6 peanut butter, and 4 oatmeal raisin cookies. If there were 30 total peanut butter cookies, how many chocolate chip cookies did he buy? chocolate chip cookles
Answer:
50 chocolate chip cookies
Step-by-step explanation:
30÷6=5
HELP PLEASE ILL VENMO THE FIRST PERSON WHO ANSWERS
Answer:
y=2p+9 i really hope this helps and you dont have to venmo me anything but i had to hurry because i have a quiz and i have to go. bye. hope this helped
Step-by-step explanation:
I need help plssssss.....
Does this set of ordered pairs represent a function? (-1,5)(0,-3)(2,7)(4,0)(7,5)
Answer:
No
Step-by-step explanation:
You cant have 2 y values
Answer:
it is indeed a function
Step-by-step explanation:
Ravi purchased 3 DVDs for $19.99 each. Find the total cost for the DVDs including 5% GST and 6% PST.
Answer:
$66.57
Step-by-step explanation:
Cost of one DVD = $19.99
Cost of 3 DVDs = $19.99*3 =$59.97
Rate of GST = 5%
Amount of GST
= 5%* $59.97
= 0.05*59.97
= $2.9985
Rate of PST = 6%
Amount of PST
= 6%* $59.97
= 0.06*59.97
= $3.5982
Total cost of DVDs
= $59.97 + $2.9985 + $3.5982
= $66.5667
= $66.57
The value of a car is $15000 and depreciates at a rate of 8% per year. What is the decay factor?
Answer:
Answer:1,875
Step-by-step explanation:15,000 ÷ 8 = 1,875
Answer: I think it is 1200
Step-by-step explanation: because $15000 of 8% is equal to 1200 because it just is
