Answer:
6x + 9
Step-by-step explanation:
A cylinder has a volume of 72 pi cubic inches. If the radius is 3 inches what is the height
Answer:
24
Step-by-step explanation:
common sense
helpp meeeeeeee plsssssa
Answer:
10x 8 is 80 so it will be 30+80
Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $9 per pack, while hamburgers cost $6 per pack with taxes
included. Jerry can spend a maximum of $100 on the food.
Using x and y for the number of packs of hot dogs and hamburgers, respectively, what is an inequality that represents this situation?
Answer: 9x+6y ≤10
Step-by-step explanation:
Let x= number of packs of hot dogs .
y =number of packs of hamburger.
Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)
i.e. Total expenditure =9x+6y ( in $)
Jerry can spend a maximum of $100 on the food.
So, Total expenditure ≤ $100
i.e. 9x+6y ≤10 [Required inequality]
The inequality that represents this situation:9x+6y ≤10
6) Sally traveled 352.5 miles on 13 gallons of gas. Set up and solve to proportion to find how many miles she can travel on 18 gallons of gas. Round your answer to the nearest whole number of gallons. Your answer
Answer:
add a gallon
Step-by-step explanation:
You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen. An advertiser pays you $20 per month and an additional $0.005 each time the app is opened. Graph the linear equation that represents your monthly income y (in dollars) when the app is opened x times.
Answer:
y ⇒⇒⇒ monthly income
x ⇒⇒⇒ number of times app is opened
$20 per month and an additional $0.005 each time the app is opened
∴ y = 0.005 x + 20
The attached figure represents the graph of y
Step-by-step explanation:
A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.
Answer:
y=15x+35
Step-by-step explanation:
15 every month and 35 for instant charge
PLEASE I NEED IT ASAP find the value of t if t - 7 = 12
Kylie's family took a road trip to Mount Rushmore. Kylie fell asleep 34% of the way
through the trip. If Kylie fell asleep after they had travelled 306 miles, what was the
total length of the trip?
Answer:
2 miles
Step-by-step explanation:
The total length of the trip is 464 miles
An equation is used to show the relationship between two or more numbers and variables.
Let x represent the total length of the journey.
Kylie fell asleep after they had travelled 306 miles and she fell asleep 34% of the way. Therefore:
(100% - 34%) of x = 306
66% of x = 306
0.66x = 306
x = 464 miles
The total length of the trip is 464 miles
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Compute 292,000 divide 100.
The division 292,000 divide 100. results to 2920.
What is Division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Given:
292,000 divide 100.
We know division with zero in the denominator is different and easy.
As, 292000 have three and 100 have two zeroes.
So, the two zero of hundred cancels out the two zeroes of 292000.
So, 292000/ 100
= 2920
Hence, the division results to 2920.
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Researchers in New Zealand interviewed 907 drivers at age 21. They had data on traffic accidents and they asked their subjects about marijuana use. Here are data on the numbers of accidents caused by these drivers at age 19, broken down by marijuana use at the same age:
Marijuana Use per year
1-10 11-50 51+
Never times times times
Drivers 452 229 70 156
Accidents caused 59 36 15 50
Required:
a. Explain carefully why a useful graph must compare rates (accidents per driver) rather than counts of accidents in the four marijuana use classes.
b. Compute the accident rates in the four marijuana use classes. After you have done this, make a graph that displays the accident rate for each class. What do you conclude? (You can’t conclude that marijuana use causes accidents, because risk takers are more likely both to drive aggressively and to use marijuana.)
Answer:
a)
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
b) attached below
Step-by-step explanation:
A) A useful graph is must compare rates rather than counts of accidents in the four marijuana use classes
Using the rates on a graph is better for reference like saying; that 50 crashes were caused by those who smoke 51+ times and 59 crashes is caused by those who never smoke this statistics makes it seem like smoking has no effect on the amount of accidents
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
B) accident rate for Non-smokers
= (59/452) * 100 = 13.05
accident rate for smokers between 1-10 times
= ( 36/ 229 ) * 100 = 15.72
accidents rate for smokers between 11 - 50 times
= ( 15/50 ) * 100 = 21.42
accidents rate for smokers 51+
= ( 50 / 156 ) * 100 = 32.05
attached below is the required graph
Can someone please help me out?
9514 1404 393
Answer:
64°
Step-by-step explanation:
y° and the angle marked 64° are "alternate interior angles", so are congruent.
y° = 64°
Dario borrows $12,000 to buy a car. He borrows the money at a yearly, or annual, simple interest rate of 4.2%. How much more interest will Dario owe if he borrows the money for 5 years instead of 1 year?
ITS URGENT HURRY!!!!!
Answer:
$2016 moreStep-by-step explanation:
Borrowed amount = $12000Interest rate = 4.2% per year simpleInterest in 1 year:
$12000*4.2/100 = $504Interest in 5 years:
$12000*4.2*5/100 = $2520The difference between 1-year interest and 5-year interest:
$2520 - $504 = $2016Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto
Answer: x boletos de adulto
2x boletos de estudiante
x+2x=288
3x=288
x=288/3
x=96
adulto =96
estudiante 2*96=192
96+192=288
Step-by-step explanation: 96 y 192
Two students drive separate cars.
• Student 1 begins driving 90 minutes before student 2.
• Student 1 drives at a speed of 48 miles per hour.
• Student 2 drives at a speed of 64 miles per hour.
For how many hours has student 1 been driving when both students have driven exactly the same distance?
O 1 hour 30 minutes
3 hours 0 minutes
6 hours 0 minutes
7 hours 30 minutes
Student take 7hours30 mins to drive.
Please help this is the last question I need I don't get it
400 hope this helps!
May I have brainliest please? :D
PLEASE HELP THIS IS DUE TODAY How do you use proportions to calculate missing dimensions in scale drawings?
Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet
Step-by-step explanation:
The area of triangle ABC is 4 root 2. Work out the value of x
Answer:
x ≈ 2.4
Step-by-step explanation:
Area of the triangle = 1/2 absin theta
Find the diagram of the triangle attached
a = 2x-3
b =x+2
theta = 45°
Substitute and find x
4√2 = 1/2(2x-3)(x+2)sin45
8/√2 = (2x-3)(x+2)(1/√2)
8 = (2x-3)(x+2)
Expand
8 = 2x²+4x-3x-6
2x²+x-6-8=0
2x²+x-14 = 0
x = -1±√1²-4(14)(2)/2(2)
x = -1±√1+112/4
x = -1±√113/4
x = -1+10.63/4
x = 9.63/4
x = 2.4
The value of x is 3.075.
Given that,
The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,
and [tex]\theta[/tex] is 45 degrees.
The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).
We have to determine
The value of x.
According to the question
The area of the triangle is determined by the following formula,
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]
Substitute all the values in the formula
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]
[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]
The value of x can not be negative so the value of x is 3.075.
Hence, The required value of x is 3.075.
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Freddie made the number line below to model the laps he walks around a track at his
school. He walks a total of 1} miles. Each lap is į mile. How many laps does Freddie walk
around the track?
Answer:
On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.
Step-by-step explanation:
In the number 4,532,800 what place is the 5
Answer:
One-Hundred Thousand Place value
Step-by-step explanation:
Find the value of the power.
35 =
The 5 is supposed to be on the top of the 3 but on the right side.
Answer:
Step-by-step explanation:
You mean 3⁵ = ? stay click
3⁵ = 3×3×3×3×3
= 243
what time will it be in 3/4 hour
Answer:
45 minutes
Step-by-step explanation:
so 1 hr= 60 minutes so you do 3/4 x 60min which is 45 minutes. Feel Free to mark Brainliest and have a great day!
3/4 of an hour is equal to 45 minutes.
To find 3/4 of an hour, we need to multiply the value of one hour by 3/4.
One hour is equal to 60 minutes.
To calculate 3/4 of an hour:
= 3/4 x 60 minutes
= (3/4) x 60
= 45 minutes.
Therefore, 3/4 of an hour is equal to 45 minutes.
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You do not need to show all of your work for this one. But be sure that you can prove your answer is correct!
[tex]\color{plum}m∠ABC = 71° [/tex]
Steps to derive the correct answer :Opposite angles of a parallelogram are equal.Angles on the same side are supplementary.Which means :
m∠ABC = ∠ADC (opposite angles of a parallelogram)
m∠ABC :
= 37° + 34°
= 71°
Thus, the measure of ∠ABC = 71°
Let us find the measures of the other angles as well :
m∠BCD + m∠ADC = 180°
m∠BCD + 71 = 180°
m∠BCD = 180 - 71
m∠BCD = 109°
Thus, the measure of∠BCD = 109°
m∠BCD = ∠BAD (opposite angles of a parallelogram)
m∠BAD = 109°
Thus, the measure of ∠BAD = 109°
Therefore, m∠ABC = 71°
Answer:
109°Step-by-step explanation:
Given isosceles trapezoid AB = CD
Angles B and C are congruent and angles A and D are congruent.
A and B, as well as C and D sum to 180 as supplementary angles, therefore:
m∠ABC = 180° - ∠A = 180 - ∠D = 180° - (34°+37°) = 180° - 71° = 109°1) How many terms does the expression r- 9 + 5.5 have? Explain.
Answer:
The first term is 9 and the second term is 5.5, and the third term is r.
Step-by-step explanation:
Hope this helps! ^^
Select all the expressions that have a value of 180 when b = 4. o 876 – 179 + 957 - 87 O 336 12 62 + 120 0 516 - 24 ( 115 + 187 – 2,756 - 13
Answer: miata
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that apply.
4 • (8 + 3)
A. (4 • 8) + 3
B. (8 + 3) • 4
C. 4 • (3 + 8)
D. 4 • 8 + 4 • 3
Step-by-step explanation:
We need to find an expression that is equivalent to 4×(8+3)
We know that,
4×(8+3) = 4(11) = 44
Option (1).
(4 • 8) + 3 = 32+3 = 35. It is incorrect
Option (2).
(8 + 3) • 4 = (11) 4 = 44. It is correct.
Option (3).
4 • (3 + 8) = 4(11) = 44. It is correct.
Option (4).
4 • 8 + 4 • 3 = 32+12 = 44. It is correct.
Hence, the correct options are (2), (3) and (4).
Mary's scarf is 64 centimeters long. How many millimeters is the length of the scarf?
Answer:
640 mm
Step-by-step explanation:
Estimate the time Juanita will arrive at her aunt's home 320 miles away if she leaves at 9:00 a.m., drives about 60 miles per hour, and stops
for a 40 minute break halfway.
A 12:00 p.m.
B. 1:00 p.m.
c. 2:00 p.m.
D. 3:00 p.m.
E. 4:00 p.m.
Answer:
D. 3:00 p.m.
Step-by-step explanation:
d = Distance = 320 miles
s = Speed = [tex]60\ \text{mph}=\dfrac{60}{3600}=\dfrac{1}{60}\ \text{miles/s}[/tex]
Time taken is given by
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{320}{\dfrac{1}{60}}\\\Rightarrow t=19200\ \text{s}[/tex]
40 minutes break is [tex]40\times 60=2400\ \text{s}[/tex]
Total time taken is [tex]19200+2400=21600\ \text{s}=\dfrac{21600}{60\times 60}=6\ \text{hours}[/tex].
So, the entire trip took 6 hours. 6 hours after 9 a.m. is 3 p.m.
Find the point slope equation of the line through (0,7) with slope of 6.
Answer:
y-7= 6(x-0)
Step-by-step explanation:
y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!
Lucy separates a number of paintbrushes, x, into 2 equally sized groups. She claims that this is the same as making a group 1/2 the size of his original group. Create an equation that models Lucy's claim.
Answer:
x/2 = 1/2x
Step-by-step explanation:
# of paintbrushes/ 2 piles = 1/2 # of paintbrushes
Answer:
x/2
Step-by-step explanation:
Since Lucy is taking the paintbrushes, x, and splitting them into 2 equally sized groups we can assume that this IS 1/2 the size of the original group.
We can show this claim by simply doing this equation: x/2, since she is splitting them into 2 groups that are equally sized, we are just dividing x by two.
triangle sum theorem
i will give brainliest
Answer:
The answer is b=128
Step-by-step explanation:
25+27=52
180-52=128
Answer:
∠A + ∠B + ∠C = 180°
⇒ 25° + 27° + ∠B= 180°
⇒ 52° + ∠B= 180°
Subtract both sides by 172°
⇒ 52° – 52° + ∠B = 180° – 52°
Therefore, ∠B = 128°