Answer:
The total distance traveled by the car is 330 miles.
Step-by-step explanation:
The circular track is the circumference of circle with radius 1.5 miles.
Circumference of a circle = 2[tex]\pi[/tex]r
Thus,
Circumference of the track = 2 x [tex]\frac{22}{7}[/tex] x 1.5
= 9.4286571429
Circumference of the track = 9.4286571429 miles
But, one complete revolution by the car is the circumference of the track.
i.e One complete revolution round the track = 9.4286571429 miles
Therefore,
35 complete revolutions round the track = 35 x 9.4286571429 miles
= 330 miles
The total distance traveled by the car is 330 miles.
solve x 3+3(x+2)=-24
Answer: x =5
Step-by-step explanation:
[tex]x + 3 + 3(x + 2) = - 24[/tex]
[tex]x + 3 + 3x + 6 = - 24[/tex]
[tex]4x + 9 = - 24[/tex]
[tex]4x = - 24 - 9[/tex]
[tex]4x = - 33[/tex]
[tex]x = \frac{ - 33}{4} [/tex]
An employer's accountant has announced that
the budget for the next year must be cut by
33. How much must be cut from the
budget if last year's budget was
$166,245?
A. $11,830
B. $55,415
C. $166,245
D. $498,735
The amount of budget cut from last year's budget which was $166,245 will be $54860.85 which is nearly $55,415 from the given option. Hence the correct option is (B).
What is the percentage?The percentage is the 1 of the hundred or simply the amount or value of any number or data in the range of 100 called percentage.
For example, if Ramesh got 87 marks out of 150 then it required a lot of attention to drawing a conclusion about Ramesh's marks but if I say Ramesh got 58% then it will be easier to think and draw any conclusion.
Given that last year budget was $166,245 and the cut was 33% so it means it will be 0.33 of the $166,245 so
$166,245 × .33 = $54860.85 but in option, it is not mentioned so the nearest answer among the option will be (B).
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What is the y coordinate of the solution
Answer:
8
Explanation:
3x-7=x^2-7x+18
X= 5
Y=3(5)-7 aka 15-7
=8
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).
Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.
Answer: After 7 hours, 175 customers had been in the store.
Step-by-step explanation:
Did the quiz, Trust me.
Answer:
ccccccccc!
Step-by-step explanation:
Complete the pattern. 1, 2, 4, 8, 16, __, __, __
Answer:
1,2,4,8,16,32,64,128
Step-by-step explanation:
You just multiply the number by two to get the next number in the pattern
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
which matrix represents the system of equations shown below ? 4x-2y=5 5x- y=8
4 -2 5
5 -1 8
this is what it showed in brackets as the correct answer.
The matrix that represents the system of equations 4x-2y=5 and 5x- y=8 is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
How to determine the matrix?The system of equations is given as:
4x-2y=5
5x- y=8
Remove the variables
x y
4 -2 5
5 -1 8
Represent as a matrix
[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]
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which of the following is an irrational number?
Answer:
B
Step-by-step explanation:
The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.
Find the slope of the line (-4,4) (-3,-2)
Help asap i will do brainlist and everything
Answer:
the picture isnt showing
A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.
Answer:
The equation of the parabola is (x + 4)² = -16(y + 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus at (-4, -5)
∴ h = -4
∴ k + p = -5 ⇒ (1)
∵ The directrix at y = 3
∴ k - p = 3 ⇒ (2)
→ Add equations (1) and (2) to find k
∴ 2k = -2
→ Divide both sides by 2 to find k
∴ k = -1
→ Substitute it in equation (1) to find p
∵ -1 + p = -5
→ Add both sides by 1
∴ -1 + 1 + p = -5 + 1
∴ p = -4
→ Substitute the values of h, k, and p in the formula above
∵ (x - -4)² = 4(-4)(y - -1)
∴ (x + 4)² = -16(y + 1)
∴ The equation of the parabola is (x + 4)² = -16(y + 1)
True or False: The commutative property allows you to change the order of an addition problem and division problem.
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Answer:
True!!Step-by-step explanation:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
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Name all of the obtuse angles that share a side with ZVON.
A. ZNOS, ZNOP, ZNOQ, VOS, ZV00, ZVOP
B. ZNOS, ZNOT, ZNOV, ZVOR, ZVOU, ZVOP
C. ZNOS, ZNOT, ZNOR, ZVOR, ZVOQ, ZVOP
D. ZNOS, ZNOT, ZNOU, ZVOR, ZVOQ, ZVOP
Please select the best answer from the choices provided
A bag contains exactly three red marbles, five yellow marbles and two blue marbles. If three marbles are drawn from the bag without replacement, what is the probability that all three will be the same color? Express your answer as a common fraction
Answer:
11/120Step-by-step explanation:
Red = 3Yellow = 5Blue = 2Possible options would be red or yellow as only two blue marbles.
Probability of 3 red:
3/10*2/9*1/8 = 1/120Probability of 3 yellow:
5/10*4/9*3/8 = 1/12Probability of same three is:
1/120 + 1/12 = 11/120please solve 2x^2 -4x - 48 = 0
Answer:
-4, 6
Step-by-step explanation:
[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]
In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of -$11.10
Which friend's bank account has more debt?
Choose 1 answer:
A. Jean-Paul
B. Albert
Which friend's bank balance has a greater absolute value?
Choose 1 answer:
A. Jean-Paul
B. Albert
Tell whether the triangles are similar.Explain.
Answer: 13. yes 14. no
Step-by-step explanation:
13. same angles sized down
14. different angles sized down
HELP ME PLEASEEEEEE
Answer:
The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.
Step-by-step explanation:
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CAN SOMEONE HELP ME PLS
If a household appliance has a wattage of 7,043 and is in use for 9 hours, how much CO2 was produced? Round to 1 decimal.
Answer: = 62.8 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The total wattage in hours used was;
= 7,043 * 9 hours
= 63,387 watts
In kilowatts;
= 63,387/1000
= 63.387 kilowatts
CO2 produced;
= 63.387 * 0.99
= 62.75313
= 62.8 pounds of CO2
A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?
Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.
Answer:
Step-by-step explanation:
Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.
Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 2.5 miles, she rode for 4 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.
Answer:
She covered 2.5 miles, she rode for 0.25 hours.
Step-by-step explanation:
0.25*10=2.5
9. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?
Answer:
Profit Function, P(x) Total Income minus Total Cost. Profit ... The next unit will make this Revenue. Marginal Cost Function, C'(x) The next unit will be this Cost ... A manufacturing company produces and sells tables. The cost function is given by: where x is the number of tables. The tables are sold for $200 each. Find . 1. The total cost of ...
Step-by-step explanation:
Which expression can be used to find The amount of money for camp leader spends on b books
Answer:
Part A: A. 7.50 x b
Part B: $90
Step-by-step explanation:
Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.
Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.
The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?
Answer:
There are 48 male employees.
Step-by-step explanation:
144 divided by 3 = 48
48 x 1 = 48
Therefore there are 48 male employees.
Two liabraries donated to a local school. One library donated 786 books and the other library donated 1245 books. The school divided the books evenly among 11 classrooms. Estimate the number of books each classroom received. Check if the answer is reasonable.
What is the slope of a line represented by 3x-14y=28
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
1 x=12
Step-by-step explanation:
combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side
The diameter of a cookie is 2 inches. If \piπ = 3.14, what is the area of the cookie, rounded to the nearest tenth?
Answer:
6.28 or 7
Step-by-step explanation:
you have to time pie x inches
pie x inches
3.14 x 2
=6.28 rounded up 7
Please Help Me. I am so mad at this freaking problem