Answer:
F=4
Step-by-step explanation:
Answer:
4 (0.5f -0.25) = 6 + f (distribute to get rid of the parenthesis)
2f - 1 = 6 + f (subtract f from both sides)
f - 1 = 6 (add 1 to both sides)
f = 7
Simplify.
9/3x + 4+ 2x
Answer:
5x+4
Step-by-step explanation:
Please help somebody this is really hard.
7.5 mph
3/4=.75 miles per 1/10 hour
.75x10=7.5
24 * 5 is equal to 12 * ?
10
Step-by-step explanation:
24*5=12*10
120=120
Can someone help me whit this?!?
|14 | + l -3 l =
Pls help meereeeerrrrr
Answer:
What…
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
What is 31/87 as a percentage?
Give your answer rounded to one decimal place.
Answer:
35.6%
Step-by-step explanation:
31/87(100)
3100/87
35.6%
Answer:
35,6%
Step-by-step explanation:
31/87 = 0,35632184
As a percentage: 35,632184%
Rounded to one deciman place: 35,6%
if I have 19 red marble and 22 white marble. what is the ratio
Answer:
19:22
Step-by-step explanation:
you put red first since it came first
What is 3x + 2 = 4x - 1
Answer:
3 = x
Step-by-step explanation:
To simplify this equation, combine like terms:
3 = x
Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.
The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10
Work out the value of k.
Give your answer correct to 3 significant figures.
Answer:
11.020
Step-by-step explanation:
vol of l.supe = k(lochness)
88.21 * 10^10 = k( 7.45 * 10^9)
divide and k =11.020
in fraction = 1642/149
find the area of shaded part
Answer:
461.81 cm²Step-by-step explanation:
Diameter of a big circle is 28 cmDiameter of smaller half-circles is 28/2 = 14 cmShaded area = Area of big circle - area of small circle as two half-circles add up to small circle
Area formula:
A = πd²/4Shaded area
π*28²/4 - π*14²/4 = 461.81 cm²To manufacture scooters, the manufacturer has a fixed cost of 34,400$$ plus a variable cost of n $$ per scooter. Find 100$$, the number of scooters that need to be produced so that the average cost per scooter is 180$$.
Answer:
The number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
Step-by-step explanation:
Note: This question is not properly structured/written. The question is therefore rewritten properly before answering the question as follows:
To manufacture scooters, the manufacturer has a fixed cost of $34,400 plus a variable cost of $100 per scooter. Find n, the number of scooters, that need to be produced so that the average cost per scooter is $180.
The explanation of the answer is now provided as follows:
The number of scooters can be calculated as follows:
Variable cost per scooter = $100
n = number of scooter = ?
Total variable cost = Variable cost per scooter * n = $100 * n = $100n
Total cost = Fixed cost + Total variable cost = $34,400 + $100n
Average cost per scooter = Total cost / n = $180 ................ (1)
Substituting the value for Total cost into equation (1) and solve for n, we have:
($34,400 + $100n) / n = $180
$34,400 + $100n = $180n
$34,400 = $180n - $100n
$34,400 = $80n
n = $34,400 / $80
n = 430
Therefore, the number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.
PLEASE HELPPP!!!
San Francisco is well known for its fog: very thick, low-lying clouds that hide its hills. One foggy day, Penelope is practicing kicking a football. Once she kicks the football so high that it disappears into the fog! The height of the ball (in feet) can be represented at time (in seconds) by the equation h(t)=−16t2+64t . The ball disappears into the fog when it is 40 feet high.
a) Write an inequality that represents the times during which the ball was not visible.
b) Solve the inequality and represent your solution algebraically and on a number line. Also, write a sentence explaining your answer in the context of the problem.
c) How high does Penelope kick the football?
d) When does it reach its maximum height?
Answer:
a) [tex]-16t^{2}+64t\geq40[/tex]
b)[tex][2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}][/tex]
(see attached picture for the number line)
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) [tex]h_{max}=64ft[/tex]
d) t=2s
Step-by-step explanation:
a)
Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:
[tex]-16t^{2}+64t\geq40[/tex]
this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.
b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:
[tex]-16t^{2}+64t =40[/tex]
we can move the 40 to the other side of the equation so we get:
[tex]-16t^{2}+64t-40=0[/tex]
we can factor the equation so it's easier to solve, so we get:
[tex]-8(2t^{2}-8t+5) =0[/tex]
which simplifies to:
[tex]2t^{2}-8t+5=0[/tex]
and we can use the quadratic formula to solve this equation, so we get:
[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}[/tex]
so we get:
[tex]t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}[/tex]
which yields:
[tex]2\pm \frac{\sqrt{6}}{2}[/tex]
and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex][2+\frac{\sqrt{6}}{2},\infty)[/tex] for a test value of 4
so next we test each of the values in the original inequality and see if the inequality is true:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex]-16(0)^{2}+64(0)\geq40[/tex]
[tex]0\geq40[/tex] false
so this is not an answer.
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex]-16(1)^{2}+64(1)\geq40[/tex]
[tex]48\geq40[/tex]
true, so this is an answer.
[tex][2+\frac{\sqrt{6}}{2}, \infty)[/tex] for a test value of 4
[tex]-16(4)^{2}+64(4)\geq40[/tex]
[tex]-16(16)+64(4)\geq40[/tex]
[tex]-256+256\geq40[/tex]
[tex]0\geq40[/tex]
false, so this is no answer.
So the answer is the interval:
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex]
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)
so we can use the following formula to find the t-value for this maximum height:
[tex]t=-\frac{b}{2a}[/tex]
so we substitute the corresponding values:
[tex]t=-\frac{64}{2(-16)}[/tex]
which yields:
t=2s
next, we can substitute this time into the original function to find the maximum height, so we get:
[tex]h=-16(2)^{2}+64(2)[/tex]
which yields:
h=64 ft
d) We found the answer for d on the previous part where we got that t=2s
Help I’m bad at math
Answer:
None of the answers are correct.
Step-by-step explanation:
Maria's answer is incorrect:
1. "-1" is the y-intercept. 3x/4 is your rise/run.
2. Start from -1 on the y-axis.
3. Go up 3 units above, then 4 units to the right.
4. This leads up to being not on the line.
Peter's answer is incorrect:
1. "-1" is the y-intercept. -4x/3 is your rise/run.
2. Start from -1 on the y-axis.
3. Go down 4 units below, then 3 units to the right.
4. This leads up to being not on the line.
Solve the inequality below 3-1/2x ≤ 11
Tammy made a recipe that called for 3/4 teaspoon of salt. If the recipe is cut in half, how much salt is needed?
Answer:
answer is A your welcome
Answer:
If the recipe is cut in half, 3/8 teaspoon of salt is needed.
Step-by-step explanation:
Since the recipe is cut in half, we need to find 1/2 of 3/4. This means we need to multiply 1/2 times 3/4. For the numerator, 1 times 3 equals 3. For the denominator, 2 times 4 equals 8. The fraction is 3/8.
Which of the following sets of numbers could represent the three sides of a right
triangle?
Answer:
(45,60,75)
Step-by-step explanation:
Because 45^2 + 60^2 = 75^2
5625 = 5625
If the principal is $10, 624 and the rate of interest is 6.25%, what is the amount of interest after four years?
Answer:
$2656
Step-by-step explanation:
6.25% of $10,624 is $664, so that is the amount of interest every year.
$664 times 4 is $2656, so after 4 years $2656 will have been paid.
Factor the following polynomial.
98x3 – 18x
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
what’s the mean (average) for the data 12 4 16 20
Answer:
13
Step-by-step explanation:
Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!
Answer:
The answer is 13.
Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.
For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!
Hope this helps!
The cost, Y (in dollars) to provide for guests at a dinner party is proportional to the number x of guests attending the party. It costs 30 dollars to provide food for 4 guests.
Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:
''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''
So, I am solving based on this complete question.
Answer:
Please check the explanation.
Step-by-step explanation:
a. Write an equation that represents the situation.
As the cost and the number of guests are proportional.
So the equation of the form
[tex]y = mx[/tex]
Plug in the values y = 30 and x = 4 to find m
[tex]y = mx[/tex]
30 = m (4)
m = 30/4
= 7.5
Now, substituting m = 7.5 in the equation y=mx
[tex]y = mx[/tex]
[tex]y = 7.5x[/tex]
b) Interpreting Slope
Given that the units for y are dollars, and the units for x are guests.
Thus, the slope 7.5 means it costs $7.5 per guest.
c) How much does it cost to provide food for 10 guests?''
We know the equation
[tex]y = 7.5x[/tex]
put x = 10
y = 7.5(10)
y = $75
Thus, it costs 75 dollars for 10 guests.
I NEED HELP ASAP IT IS DUE AT MIDNIGHT PLEASEEEEEE!!!!
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
A = 7.4 - 9.6 = -2.2
B = -2.2 + 0.5 = -1.7
C = -1.1(-1.7) = 1.87
D = 18.1 + 1.87 = 19.97
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
What is the value of the expression below when w=7 and x=2?
3w - 4x
Answer:
13
Step-by-step explanation:
3(7)-4x
3(7)-4(2)
21-8
=13
mr minnelo hasksidir
Answer:
Who has that name?
Step-by-step explanation:
What's the question i'm really curious lol
The number positioned at point E is...
Answer:4 and a half
Step-by-step explanation:
4 and a half
Question 3
True or false. A discount will add to the total cost you
will pay for an item.
Answer:
False
Step-by-step explanation:
f(x)= 3x² +x-2, then f(-2)
Answer:
12
Step-by-step explanation:
just substitute the value in the equation
What is the perimeter?
Answer:
26
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
6 +6=12
12+3=15
15+2=17
17+4=21
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