Answer:
$56.29
Step-by-step explanation:
Evaluate $\frac{20}{101}-\frac{20}{99}$. Express your answer in simplest form.
: Mr. Burkett drove his car at an average speed of 70 miles per hour for 3.5 hours and then traveled at an
average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that he traveled during this time?
Answer:
Mr Burkett travelled 407.5 miles during his full trip.
Step-by-step explanation:
First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.
In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.
Finally, we can just add them! 245 + 162.5 = 407.5.
On a sunny day, Michelle and Nancy noticed that their shadows were different lengths. Nancy measured Michelle's shadow and found that it was 24.0 inches long. Michelle then measured Nancy's shadow and found that it was 13.5 inches long.
Please help I don’t understand
Answer:
The value of x so f (x) = 7 is 5.
Step-by-step explanation:
A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
https://brainly.com/question/20333425
The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this stock price?
Answer:
66.8421% decrease
Step-by-step explanation:
I NEED HELPP!!!
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
_______________________________________________
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
I will mark most brainlest whoever gets it right for me :)))
Sorry I can't help you :(
which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105
Answer:
B. 17/102,27/108 do not for proportion
How to lnow the numberof turning points in a function.
Answer:
The maximum number of turning points of a polynomial function is always one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).
Here is an inequality -10+x÷4+5>7x-5÷3
Answer:
here is the answer x>1/2
what is the answer??????
Answer:
1) B. 1 1/322) A. 1.8
Solution:
2 3/4 as an improper fraction is 11/4.
2 2/3 as an improper fraction is 8/3.
11/4 ÷ 8/3
11/4 ÷ 3/8 (reciprocal method)
11/4 × 3/8 (change the operation to multiplication)
11/4 × 3/8 = 33/32 (multiply)
33/32 ⇒ 1 1/32 (simplify)
1 4/5 as an improper fraction is 9/5.
9/5 ⇒ 1.8
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
HELPPPPPPP plssssssss
Answer:
The length of FB IS D) 7 units
leslie weighs her marbles in a jar and the scale reads 474 grams. The empty jat weighs 439 grams. each marble weighs 5. How many marbles are in the jar
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
Answer:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
The LCD is (a^2 + a)(a - 2) so we have
[(a + 2) - 3(a^2 + a)] / (a^2 + a)(a - 2)
= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)
= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)
A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
For 0° ≤ x < 360°, what are the solutions to cos(x/2) – sin(x) = 0?
A{0°, 60°, 300°}
B{0°,120°, 240°}
C{60°, 180°, 300°}
D{120°,180°, 240°}
Precalc
Answer:
the answer is c
Step-by-step explanation:
cos30 = sin60
then cos30 - sin 30 = 0
c is the only choice which can satisfy in the problem
57 multiplied 2794?
IXL question
How to graph an equation.
Answer:
Below
Step-by-step explanation:
To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b
We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.
Hoped this helped.
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answer:
bbc
Step-by-step explanation:
10. Simplify each 12x°(x-4) x=6
Answer: 144
Step-by-step explanation:
since x=6 and im assuming ° means multiplication
12(6) times (6-4)
72 times 2
144
Answer:
144
Step-by-step explanation:
(12)(6)(6−4)
=144
Find x if the line through the points (6, x) and (1,-5) has a slope of 2.
Answer:
Step-by-step explanation:
Use the slope formula
m = (y2 - y1)/(x2 - x1)
y2 = x
y1 = -5
x2 = 6
x1 = 1
m = 2
Solution
2 = (x - - 5)/(6 - 1)
2 = (x + 5)/ 5 Multiply both sides of the equation by 5
5*2 = 5(x + 5)/5 Simplify
10 = x + 5 Subtract 5 from both sides
10-5 = x
x = 5
solve pls brainliest
Answer:
Step-by-step explanation:
|x|=x,if x>0
|x|=-x,if x<0
(a)
|7-9|=|-2|=-(-2)=2
(b)
|7|-9=7-9=-2
Slippery Slope
Two professional downhill skiers are going to begin a race. The skiers agree that Skier 1 is
slightly faster than Skier 2 so they decide that Skier 2 will get a 5 second head start to make the
race more competitive. Skier 1 skies at an average speed of 110 feet per second and Skier 2
skies at an average speed of 100 feet per second.
Who will win the race if the course is 5000 feet long?
Answer:
It would be a tie
Step-by-step explanation:
Skeir 1 in 5000 feet would go 45 seconds.
Skier 2 in 5000 feet would go 50 seconds
If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.
Austin runs 6 miles in 50 minutes. At the same rate, how many miles would he run in 35 minutes?
Answer:
4.2 miles
Step-by-step explanation:
Speed = distance / time
Speed = 6 / 50 = 0.12 miles per minute
PS: You can change the minutes to hours if youd like and it'll be the same answer.
Since he is running at the same rate(speed)
Distance = speed * time
Distance = 0.12 miles/minute * 35 minutes = 4.2 miles
(if you changed your speed to be in miles / hour don't forget to change the 35 minutes to hours
to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?
Using proportions, it is found that he was supposed to read the book in 10 days.
This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:40 pages - x days
25 pages - x + 6 days
Applying line multiplication, as it is an inverse rule of three:
[tex]40x = 25(x + 6)[/tex]
[tex]40x = 25x + 150[/tex]
[tex]15x = 150[/tex]
[tex]x = \frac{150}{15}[/tex]
[tex]x = 10[/tex]
He was supposed to read the book in 10 days.
A similar problem is given at https://brainly.com/question/24372153
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box.
__________
Answer:
y = 2x +2
Step-by-step explanation:
The general slope-intercept equation of a line is y=mx+b , where m is the slope and b is the y-intercept ( where the line intersects the y-axis)
From the graph we see that
m= difference in y/difference in x = (6 - -6)/ (2- -4) = 12/6 = 2
m=2 is the slope
b is where the line cuts the y-axis and is at 2
b=2 is the y-intercept
Substitute m and b in the general equation to find the equation of the graphed line.
y = 2x +2
I need a step by step explanation
n - 31
--------- = 2
4
Answer:
39
Step-by-step explanation:
4 x 2 = 8
8+ 31 is 39
If x # y = 2x + y, then 1 # 2 =
Answer:
1 # 2 = 4
Step-by-step explanation:
1 # 2 = 2*1 + 2 = 2 + 2 = 4
pls help asap! i will mark brainliest!
Step-by-step explanation:
that simply means that D is the middle point of AC.
and that means that both sides of D are equal long :
x + 8 = 2x - 17
25 = x
therefore
AB = x - 7 = 25 - 7 = 18