Given:
Newest model is 15% lighter than last year's model.
This year's model weights 799 lb.
To find:
The last year's model weight, in pounds.
Solution:
Let x be the last year's model weight, in pounds. So, weight of this year model is
[tex]x-\dfrac{15}{100}x=799[/tex]
[tex]x-0.15x=799[/tex]
[tex]0.85x=799[/tex]
Divide both sides by 0.85.
[tex]x=\dfrac{799}{0.85}[/tex]
[tex]x=940[/tex]
Therefore, last year's model weight is 940 pounds.
Work out the value of x
Answer:
67.5°
Step-by-step explanation:
Given, 90° + x + 3x = 360°
4x = 360° - 90°
4x = 270°
x = 67.5°
Answer:
67.5
Step-by-step explanation:
[tex]3x + x + 90 = 360[/tex]
[tex]4x + 90 = 360[/tex]
[tex]4x = 360 - 90[/tex]
[tex]4x = 270[/tex]
[tex]x = 270 \div 4 = 67.5[/tex]
i think this is the answer
Your neighbor Philip buys a new alarm system that has two alarms (main and backup) with a 0.01 probability of a system failure. After reading the manual, he discovers that the second alarm has a 0.05 probability of failing. What is the probability of the first alarm failing?
Answer:
0.2
Step-by-step explanation:
Let P(A) = probability of first alarm failing and P(B) = probability of second alarm failing = 0.05. Since the events are independent, we have that the probability of both alarms failing or of system failure is P(A ∪ B) = P(A) × P(B).
Since the probability of both alarms failing or of system failure, P(A ∪ B) = 0.01, then the probability of the first alarm failing P(A) = P(A ∪ B)/P(B) = 0.01/0.05 = 0.2.
So, the probability of the first alarm failing P(A) = 0.2
Answer:
0.2 or 20%... see image
Step-by-step explanation:
Your friend says that there are 36 feet
in 12 yards. Is your friend correct?
Explain your reasoning.
Answer:
yea i think
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
there are 3 feet in a yard. if we divide 12 by 3 to see how many feet there are, we get 4, not 36.
i hope this helps :))
I need help with ANGLESSS!!!!!!
Answer:
mABD=88 mCBD=23
Step-by-step explanation:
To find x:
(6x+41)+(-10x+58)=111
-4x+99=111
-4x=12
x=-3
To find ABD:
-10(-3)+58
30+58
ABD=88
To find CBD
111-88
CBD=23
A farmer's stand at the local farmer's market charged $2.00 for a container of
tomatoes, and $4.00 for a dozen of corn. If the farmer made a total of $120 for
the day and sold 30 containers of tomatoes... How many dozen of corn did the
farmer sell? USE THE EQUATION: 2t + 40 = 120.
The fruit
and cold a
Answer:
The answer is t = 40 so 40
Step-by-step explanation:
Simplify this, please!!!
Don't be like "uuh uh its b i THINk but idk so pls mark as brainliet"
I will report you.
I will work this out myself but I'm using brainly for extra assurance.
Answer:
when i worked it out i got the answer as A.
Step-by-step explanation:
A is the answer i got.
14. A bus company has 4000 passengers daily, each paying a fare of $2. For each
$0.15 increase, the company
estimates that it will lose 40 passengers per day.
If the company needs to take in $10 450 per day to stay in business, what
fare should be charged?
Answer:
wat the herck bsdvg
Step-by-step explanation:
GUYS I LITERALLY CANT DO THIS
simplify x²-25 / 2x²-7x-15
I'm more stuck on simplifying the bottom the top part is fine
Answer:
(x+5)/(2x+3)
Step-by-step explanation:
So we know the top part is difference of two squares. So thats (x+5)(x-5)
The bottom part
Firstly you do 2 times -15= -30
Now we need to find two numbers with a difference of 7 but multiply to give 30.
30
1 x 30
2 x 15
3 x 10
5 x 6
From here we can see 3-10=-7 and multiply to make -30
So we do 2x²-10x+3x-15
simplify this in two different parts: 2x²-10x and 3x-15
2x(x-5) and 3(x-5)
Therefore we get (2x+3)(x-5)
(x+5)(x-5)/(2x+3)(x-5)
x-5 is common so they cancel each other out leaving you with
(x+5)/(2x+3)
I hoped this helped :)
A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= time in seconds and h= height in feet.) How long will it take the football to reach the ground.
The time required for the ball to reach the ground is 10.25 seconds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The punter kicks the ball into the air
The equation to determine the pathway is h = -16t² + 82t
where t is the time taken in seconds to reach the height h
So ,
Time taken by the football to reach ground is calculated from the equation
At the ground , the height will be 0
So , h = 0
Substituting the value for h in the equation , we get
0 = -16t² + 82t
Adding 16t² on both sides , we get
16t² = 82t
Divide by t on both sides , we get
16t = 82
Divide by 4 on both sides , we get
4t = 41
Divide by 4 on both sides , we get
t = 10.25 seconds
Hence , the time taken by the football to reach the ground is 10.25 seconds
To learn more about equations click :
https://brainly.com/question/10413253
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kevin bought school supplies.He bought a graphing calculator for $199.9 and binders that cost $8.99 each. The total cost for the school supplies was $244.94.How many binders did Kevin buy.
Answer:
5 binders
Step-by-step explanation:
(244.94 -199.99) / 8.99
What are the values of x and y
Answer:
this will help you hopefully
2100 students were surveyed about whether they went to the Homecoming Dance and the Prom. 1470 students went to the Homecoming Dance. 570 students went to Prom only. 360 students went to both the Homecoming Dance and Prom. P (Went to Prom or None).
Answer and Step-by-step explanation: The problem can be solved by using a Venn Diagram.
A Venn Diagram shows the relation between a collection of different sets.
The figure below shows:
1) Students who went only to the Homecoming = 1110
2) Students who went only to the Prom = 570
3) Students who went to both = 360
4) Students who went to none = 60
The question asks for the probability of students who went to Prom or None.
Probability of Prom = [tex]\frac{570}{2100}[/tex]
Probability of None = [tex]\frac{60}{2100}[/tex]
As it is asking for "OR", use the "or rule", i.e., add the probabilities:
P(Prom or None) = [tex]\frac{570}{2100}+\frac{60}{2100}[/tex]
P(Prom or None) = [tex]\frac{630}{2100}[/tex]
P(Prom of None) = 0.3
The probability of a student had went to Prom or none of them is 0.3 or 30%.
$3 for 6 muffins $9 for 18 muffins
Answer:
what is the question
Step-by-step explanation:
Answer:
$ 180
Step-by-step explanation:
3 x 6 = $ 18
9 x 18 = $ 162
If you add those numbers you will get $180
Solve the equation.
3/4x3-2x = -1/4+1/2+5
Answer:
x = 2.37056012
Step-by-step explanation:
Evaluate f(-3)
f (x) = 2x2 - 4x
below is a data table showing the amount of water remaining in a swimming pool. find and interpret the rate of change.
Answer: 40 gallons per second
Step-by-step explanation:
every second, a set number of gallons is emptied from the pool. to find this amount, you essentially have to subtract the one number From one on top of it. Example: 300 - 260 = 40
You can either stop there or continue until you are confident you have the right answer
300 - 260 = 40
260 - 220 = 40
220 - 180 = 40
180 - 140 = 40
simplify 3/7+5/9- -2/3
Answer:
mixed number form
= 1 41/63
Exact Form
104/63
Step-by-step explanation:
Hope this helps:)
please helpppppppppp
Answer:
Time 10 = $40 Savings
Time 15 = $60 Savings
Time 25 = $100 Savings
Step-by-step explanation:
Answer:
10/40 ,15/60 ,25/100
Step-by-step explanation:
If the blue troops hikes 2/3 if a mile every 1/2 hour, and the restrooms are 3/4 mile away from the cabin, how long will it take the blue troop to walk from the cabin to the restrooms?
Answer:
9/16 hour
Step-by-step explanation:
If the blue troops hikes 2/3 if a mile every 1/2 hour, and the restrooms are 3/4 mile away from the cabin,
Hence:
2/3 mile = 1/2 hour
3/4 mile = x hour
Cross Multiply
2/3 × x = 3/4 × 1/2
x = 3/4 × 1/2/ 2/3
x = 3/8 ÷ 2/3
x = 3/8 × 3/2
x = 9/16 hour
Therefore it will take the blue troop 9/16 hour to walk from the cabin to the restroom.
What is the value of
Answer:1 over 6
Step-by-step explanation:
1 over 6 to the power of 0 is zero but a rule makes it one so itself so 1 out of 6
When the cards on the right are added up, are their point values higher or lower than a Reverse card?
2 bags of sunflower seeds cost $5. How much would 10 bags of seeds
cost?
Answer:
$25
Step-by-step explanation:
If 2 bags of sunflower seeds cost $5 dollars, and you need 10 bags, you can do 5 x 5, where one 5 represents the cost and the other 5 represent the packs needed, which is 5 x 2.
Thus 5 x 5 = 25, 10 bags of sunflower seeds will cost $25.
2(x-3)+4=10 please help
2x + y=10
3x - 2y = 1
I’ll give brainliest to who ever answers first !
I got the question incorrect please tell me what I did wrong and give me the correct answer
Do you exercise regularly?
how do i put this in a biased questions
Answer: Did you know that you should exercise regularly?
Step-by-step explanation:
Question 3
Create AD and BD, and measure their lengths. How do the lengths compare? How is the relationship between the lengths of AD and BD
affected if point D is moved along the perpendicular bisector? PLATO
Answer: No matter where point D is located along the perpendicular bisector, the lengths of AD is always equal to the length of BD. Moving D along the perpendicular bisector does not affect the equality of the lengths.
Step-by-step explanation:
PLATO answer
Answer:
No matter where point D is located along the perpendicular bisector, the length of AD is always equal to the length of BD. Moving D along the perpendicular bisector does not affect the equality of the lengths.
Step-by-step explanation:
plato
What are the dimensions of face A
What is the slope of the line on the graph
Answer:
slope= 1/2
Step-by-step explanation:
Answer:
2/4 which equals 1/2
Step-by-step explanation:
rise over run = slope
hi plz help me on this
Answer:
Anwser key
Step-by-step explanation: