Answer:
9.71 Only way I could think of to solve it
Step-by-step explanation:
10x-72=3x-4
7x=68
x=9.71
The principal would like to assemble a committee of 7 students from the the 11 member student council. How many different committees can be chosen?
Answer:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Step-by-step explanation:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Answer:
Step-by-step explanation:
Remark
This problem only wants to know how many ways to select 7 starting from a base of 11.
Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.
That problem is a combination and is written as
(11)/(7)
The formula used is
11! / (7! (11 - 7)! )
11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out
11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330
A smoke jumper jumps from a plane that is 1900 ft above the ground. The function h=-16t+1900 gives the jumper's height h in feet during the free fall at t seconds. a. How long is the jumper in free fall if the parachute opens at 1000 ft? b. How long is the jumper in free fall if the parachute opens at ft? c. What is a reasonable domain and range for the function h? a. The jumper is in free fall for nothing s if the parachute opens at 1000 ft
Answer:
a) The jumper opens the parachute in 7.5 seconds.
b) The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
Step-by-step explanation:
Note: The equation presented in statement is incorrect. The correct formula for free fall is:
[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height above the ground, measured in feet.
a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 1000[/tex]
[tex]16\cdot t^{2} = 900[/tex]
[tex]t = 7.5\,s[/tex]
The jumper opens the parachute in 7.5 seconds.
b) How long is the jumper in free fall if the parachute opens at 950 ft?
If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 950[/tex]
[tex]16\cdot t^{2} = 950[/tex]
[tex]t \approx 7.706\,s[/tex]
The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
9 is 150% of what number
Answer:
13.5
Step-by-step explanation:
150% × 9 =
(150 ÷ 100) × 9 =
(150 × 9) ÷ 100 =
1,350 ÷ 100 =
13.5
My proof :
If 150% × 9 = 13.5 =>
Divide 13.5 by 9... ... And see if we get as a result: 150%.
I WILL GIVE BRAINLY!!!!!!!!!
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
PLSSSS SHOW YOUR WORK PLSSSS
Answer: C. 5(6) + 0.65y
Step-by-step explanation:
Process of elimination.
65% of y = 0.65y
A has 65y, completely incorrect.
B has 6y, also completely incorrect.
C has 0.65y, correct.
D has 1.65y, also completely incorrect.
Shayla is going to paint a wall. The wall is 23 feet long by 8 feet high. A gallon of paint costs $11 and covers 320 square feet of area.
If the wall requires two coats of paint, what is the minimum cost of painting Shayla's wall?
PLs answer and epxlain how you got it
Answer: $22
Step-by-step explanation:
The wall is 23 ft by 8 ft, so if you multiply both sides of the rectangle together, you get the area.
23 * 8 = 184 ft^2
Since the wall requires 2 coats of paint, that means you'll just need to double the area you need to cover (since you're covering it twice).
184 * 2 = 368 ft^2
Now that we know how much square feet of area we need to cover, we can try and figure out how many gallons of paint we need to cover said area.
One gallon of paint covers 320 ft^2, so we can divide the area we need to cover (368) by the area a single gallon can cover (320) to get the amount of gallons we need to cover the wall.
368 / 320 = 1.15 gallons
To cover the wall twice, we need 1.15 gallons of paint. Assuming we can't buy 0.15 of a gallon, we will just need to buy two full gallons. Each gallon is $11, so two gallons each costing $11 is:
2 * 11 = $22
Side note: IF you can buy 0.15 of a gallon, then just multiply 1.15 * 11 = $12.65
Find the slope and the y-intercept of the graph of the linear equation.
- 2x + y = 4
Answer:
y=2x+4
Step-by-step explanation:
I will give brainliest but please help
Step-by-step explanation:
25+50x=25+45x
then the answer you get from that you multiply it by 4 sorry if incorrect
i need this fast guys. help a comrade out this is due tmm
Answer:
150,250
Step-by-step explanation:
Hope this helps!
20 POINTS IF YOU ANSWER! NEED HELP ASAP
The two kids next to your locker are arguing over who got the better deal on the new cell phone plan billy pay $30 for his new phone and only pays $12.50 each month with free texting Annie got her new phone for free in only pays $20 a month how many months will both billy Annie have paid the same amount for the new cell phone plans you must write and solve an equation
Answer:
They will both have paid the same amount after 4 months
Step-by-step explanation:
Assume that they will pay the same amount after x months
∵ Billy pays $30 for his new phone
∵ He only pays $12.50 each month
→ Find how much he will pay in x month
∴ He will pay → 30 + 12.50x
∵ Annie got her new phone for free
∵ She only pays $20 a month
→ Find how much she will pay in x month
∴ She will pay → 20x
∵ They will pay the same amount
→ Equate their expressions above
∴ 20x = 30 + 12.50x
→ Subtract 12.50x from both sides
∵ 20x - 12.50x = 30 + 12.50x - 12.50x
∴ 7.50x = 30
→ Divide both sides by 7.50
∴ x = 4
∴ They will both have paid the same amount after 4 months
X^2-x-12, please show your work so I can know how to do it. Thank you:))
Rewrite the expression by factoring out (w-5)
Answer:
(w - 5)(2w² + 7)
Step-by-step explanation:
Given
2w²(w - 5) + 7(w - 5) ← factor out (w - 5) from each term
= (w - 5)(2w² + 7)
solve x3 = 8. A. x = 2.8. B. x = 2. C. x = 4. D. x = 8/3
Answer:
Option B x=2
Step-by-step explanation:
Assuming that the problem is X^3=8 you can find the cubed root of 8 which is 2
Write an equation in slope-intercept form of the line passing through a given point and having the given slope m=-3 through (1,9)
Answer:
y=-3x+12
Step-by-step explanation:
9=-3(1)+b
9=-3+b
9+3=3-3+b
12=b
Choose a system and make a case for why you would
or would not choose to solve that system by substitution
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.
Step-by-step explanation:
2x-y=-2 what is the answer for y?
Answer:
x2+2=Y
Step-by-step explanation:
Write the equation
(0,5)
(2.0)
Kimoni wants to purchase a pair of shoes that are on sale for 10% off the regular price
of $64.00. Which is the sale price of the shoes?
Answer:
the price of the pair of shoes are $57.60
Step-by-step explanation:
So you first need to find out what 10% is in $64 so your going to multiply 0.1 (10% in decimal form is 0.1 ) by 64 to get 10% of the original price.
64 * 0.1 = $6.40
so now we are going to subtract $6.40 from $64 for the sale price:
$64.00 - $6.40 = $57.60
so the sale price is $57.60
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an equation that represents this path.
Answer:
An equation that represents this path is described below in detail.
Step-by-step explanation:
The equalization that describes the pathway of the swimmer to the shoreline can be described in the slope-intercept pattern, given as.
Where,
Slope (m) = the adverse reciprocal of the incline of the shoreline, considering it is perpendicular to it = ??
y-intercept (b) = ??
Find the incline of the shoreline using, (0, 1) and (4, 4):
.
Considering the incline of the shoreline is ¾. The incline of the pathway of the swimmer would be the adverse reciprocal of ¾.
The adverse reciprocal of ¾ = -⁴/3.
The incline of the swimmer's path = -⁴/3.
Applying the coordinate of the position of the swimmer (6, 1), and the incline of the way, we can find b, the y-intercept of the way.
Substitute x = 6, y = 1 and m = -⁴/3 into y = mx + b, to find b.
Thus:
1 = (-⁴/3)(6) + b
1 = -8 + b
Add 8 to both sides
1 + 8 = b
9 = b
b = 9
Substitute m = -⁴/3 and b = 9 into y = mx + b.
Durant and Westbrook are playing a three-point challenge game to improve long distance shooting. Each time each of them makes a basket, 3 points are added to their respective scores. Durant has 18 points and Westbrook has 12 points. Which of the following options has the pair of explicit formulas that represents the number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n
please tell me how you got it thanks <3
i think its C
:) :) :) :) :) :) :)
Another name for Rotation is slide.
True
False
False:
A rotation is the action of rotating around an axis or center.
A slide means to move along a smooth surface while maintaining continuous contact with it.
how to write k/3 + 16 in words
Answer:
k divided by three plus sixteen
Put these numbers smallest to largest 2.6,6.2,2.06,0.26.0.62
Answer:
0.26, 0.62, 2.06, 2.6, 6.2
Can you show steps on how to do 2 – 8x = -22 ? Thank you!
Answer:
x squared = 8x
Step-by-step explanation:
Move
8
x
to the left side of the equation by subtracting it from both sides.
x
2
−
8
x
=
0
Factor
x
out of
x
2
−
8
x
.
Tap for more steps...
x
(
x
−
8
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
=
0
x
−
8
=
0
Set the first factor equal to
0
.
x
=
0
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
8
The final solution is all the values that make
x
(
x
−
8
)
=
0
true.
x
=
0
,
8
The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; 58 of them are seventh graders and 38 of them are eighth graders. If 45 of the seventh graders participated in track-and-field day and 78 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.
Answer:
484 students
Step-by-step explanation:
The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 of the seventh graders participated in track-and-field day and 7/8 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.
Solution:
The total number of students = 584
Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students
Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students
Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students
Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students
Total students that participated = 292 + 192 = 484 students
Answer:
Answer:
484 students
Step-by-step explanation:
The total number of students = 584
Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students
Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students
Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students
Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students
Total students that participated = 292 + 192 = 484 studentsStep-by-step explanation:
I know i am in the future
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
Answer:
y=-4x+2
hope this helped
please help me!!!!!!!!!
Answer:
what is it asking like what is the step to do that i think i did that like back in 6th grade or something
Answer:
input output
0 -2
1 3
4 18
6 33
10 48
20 98
Step-by-step explanation:
You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18
Answer:
B 1/9
Step-by-step explanation:
Because there are 6 sides of a die then your adding 3 to the 6
I think. (please dont hate me if im wrong!!)
The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
For this case, let we define two events:Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.
Thus, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Total number of outcomes for any roll = n(S) = 6
Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)
Thus, P(A) = n(A)/n(S) = 1/6
And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)
Thus, P(B) = n(B)/n(S) = 2/6
Hence, probability of rolling a 4, then rolling a number less than 3 is:
[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]
Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18
Learn more about probability here:
brainly.com/question/1210781
How do I find x in these equations
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
5) Go....
[tex]17 = 4x + 1[/tex]
[tex]4x + 1 = 17[/tex]
Subtract sides 1
[tex]4x + 1 - 1 = 17 - 1[/tex]
[tex]4x = 16[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{16}{4} \\ [/tex]
[tex]x = 4[/tex]
_________________________________
6) Go...
[tex]2x - 2 = 16[/tex]
Add sides 2
[tex]2x - 2 + 2 = 16 + 2[/tex]
[tex]2x = 18[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]
[tex]x = 9[/tex]
_________________________________
7) Go...
[tex]95 = 7x + 18[/tex]
[tex]7x + 18 = 95[/tex]
Subtract sides 18
[tex]7x + 18 - 18 = 95 - 18[/tex]
[tex]7x = 77[/tex]
Divide sides by 7
[tex] \frac{7x}{7} = \frac{77}{7} \\ [/tex]
[tex]x = 11[/tex]
_________________________________
8) Go...
[tex]78 + 9x - 6 = 180[/tex]
[tex]9x + 72 = 180[/tex]
Subtract sides 72
[tex]9x + 72 - 72 = 180 - 72[/tex]
[tex]9x = 108[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{108}{9} \\ [/tex]
[tex]x = 12[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
someone help me please. Suppose you are preparing a snack mix. You want the total protein from peanuts and granola to equal 28 grams. peanuts have 7grams of protein per ounce, and granola has 3 grams of protein content of your mix.
(a)write an equation for the protein content of your mix.
(b) graph your equation. use your graph to find how many ounces of granola you should use if you use 1 ounce of peanuts.
Answer:
I'm so sorry all i can do is encourage you.
Step-by-step explanation:
I hope you get the right answer and have a nice day!