the two forces 132-lb and 88 lbs are applied to opposite ends of a 15 foot lever. How far from the greater force must the fulcrum be placed so that the lever is balanced?
The fulcrum should be. feet from the greater force.
ignore the weights of the lever
Answer:
6 feet from the greater force
Step-by-step explanation:
X = length from greater weight to fulcrum
132X = 88(15-X)
132X = 1320-88X
220X = 1320
X = 6
Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here.
Answer:
(A) 0.2814
Step-by-step explanation:
you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.
Answer:
A) 0.2814
Step-by-step explanation:
edge 2023
In the similar triangles below, what is the measure of ∠F
90°
74°
53°
37°
Answer:
37 degrees because of similarity
Step-by-step explanation:
Answer37\
Step-by-step explanation:
o help save for college, your friend invested $1000 in an account that pays 6% annual interest compounded continuously. How much money will your friend have after 4 years?
A transportation company is interested in knowing the amount of time it takes for the different type of vehicles they own to travel certain distances based on their different speeds. A car travels 180 miles in the same time that a truck travels 120 miles. If the car’s speed is 20 miles per hour faster than the truck’s, find the car’s speed and the truck’s speed.
Answer:
60 mph and 40 mphStep-by-step explanation:
Let the speed of the car = x and the speed of the truck = y
We have following equations:
180/x = 120/y x = y + 20Simplify the first equation and substitute x:
180y = 120x2x = 3y2(y + 20) = 3y2y + 40 = 3y3y - 2y = 40y = 40Find the value of x:
x = 40 + 20 = 60Car's speed 60 mph
Truck's speed 40 mph
A plumber charges $65 for a service call, plus $32 per hour of service. If he charged Mr. Jackson $257, how many hours did we work? Write an equation that represents the situation. Then, find how many hours he worked.
Just wanted to tell you that... You are special because theres only ONE of you :)
Answer:
how sweet thx
Step-by-step explanation:
The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point estimate of the difference in the population proportion of females that work at UF versus males.
Answer:
-0.089
Step-by-step explanation:
Given that:
Males - Group 2:
Total number of males, n = 874
Number that said yes, = 396
P1 = 396 / 874 = 0.453
Females - Group 1 :
Total number of Females, n = 902
Number that said yes, = 489
P2 = 489 / 902 = 0.542
Point estimate of the difference in sample proportion:
P1 - P2
0.453 - 0.542
= −0.089
Find total surface area of the pyramid.
Answer choices
A.144 inches squared
B.1150 inches squared
C.170 inches squared
D.180 inches squared
Answer:
D) 180 inches²
SEE NOTE*
Step-by-step explanation:
Base = 10x10=100
Each triangle = 1/2x10x4=20
20x4=80
100+80=180
* This may be a trick question. This pyramid CANNOT exist. If the base is 10 inches, the height of the triangles cannot be 4 inches. They must be more than 5.
Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B. X=5115
C. x=3+ V5
O D. x=-31,5
Answer:
x = 3 ± √5
Step-by-step explanation:
Given:
(x - 3)² = 5
Find:
Value of x
Computation:
(x - 3)² = 5
x² - 6x + 9 = 5
x² - 6x + 4 = 0
x = [-b ± √b² -4ac] / 2a
x = 3 ± √5
Plsss help meeeeeeee
Answer:
x = [tex]\sqrt{99}[/tex]
Step-by-step explanation:
Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.
[tex]c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}[/tex]
Therefor x = [tex]\sqrt{99}[/tex]
Find the surface area of this net.
_____square centimeters.
Answer:
46
12+12=24
6+6=12
8+8=16
24+12+16:46
Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
whats the inequality?
Answer:
Inequality Form:
y<2
Interval Notation:
(−∞,2)
The answer your looking for is: y<2
Jorge walked 25 steps north. Then he walked 75 steps south. What’s Jorge final position
Well if Jorge's motion can be described by vectors then he first went +25 steps then -75 steps which means he did -50 steps in total. His position is thus 50 steps to the south of the original position.
Hope this helps.
Answer:
50
Step-by-step explanation:
Someone help me on 7b please it’s statistics by the way
E)
$21,112
6)
Sam and Eli are partners in a new business. Eli contributes 45% of the $5000 startup capital, and Sam contributes the remaining
amount. Which statements are correct for this situation?
A)
Sam contributes $2750.
B)
Eli contributes $2750
09
Sam contributes 10% more than Eli.
D)
Eli contributes $500 less than Sam.
E)
Eli contributes $450 less than Sam.
7)
The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE
statements are correct for this situation?
Answer:
A,C,D
Step-by-step explanation:
I just did it
Can somebody please
Answer them in grouping and explain the strategy
40x - 16
16x - 24x - 4 +12
-8x -8
Answer:
Step-by-step explanation:
4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16
16x-24x-4±12=4[4x-6x-1±3]
-8x-8=8[-1-1]
help me pls pls plshdhdvdvd
How do i solve this and what is the answer!?? Will give brainl
Answer:
8a) 118°
8b) 1.8
Step-by-step explanation:
8a) <NMQ and <PQM are each 62°
360-62-62=236
1/2 of 236 is 118
m<NPQ=118°
8b) 5.9-4.1=1.8
All changes saved
The table below shows the number of sales Alan made last week. Based on these numbers, he claims to have had about 9 sales per day for the week.
Explain why this claim might be considered Inaccurate,
Alan's Weekly Sales
Day
Number of Sales
Monday
5
Tuesday
9
Wednesday
4
Thursday
9
Friday
3
Help me and pls explain how you got the answer
Answer:
The length of the missing side is 8.5 ft
Step-by-step explanation:
To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.
[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]
Rounding to the first decimal place, we get c = 8.5ft
50 points! Mhanifa please help! Everyone is putting random answers when I post a question and I need this done asap! DONT ANSWER IT IF YOU DONT KNOW IT GUYS
Answer:
x = 26°Step-by-step explanation:
The first two questions are answered here
https://brainly.com/question/21794653Question 3Use the equation for exterior angle
Exterior angle = sum of non-adjacent interior angles
5x - 2 = 2x + 765x - 2x = 76 + 23x = 78x = 26Answer:
x = 26° degrees the work bellow is correct i double checked it :)
Step-by-step explanation:
how do you get the answer for (5a+2)+(2n+6)
Answer: you can get the answer by removing the parenthesis and combining like terms
Step-by-step explanation:
Answer:
(5a+2)+(2n+6)
Remove the ()
5a+2+2n+6
Group Like Terms
5a+2n+2+6
Add the numbers 2 + 6 = 8
5a+2n+8
And for the final step, you add up the remainders.
a coat at a store is originally priced at $54.99. the marks the price down to $32.99. to the nearest percent, what is the percent markdown of the coat?
Can you help me solve this problem please
Answer:
x = 4√3
Step-by-step explanation:
It's not letting me post, so refer to my explanation in the screenshot below:
A survey of 285 adults found that during the last year, 75 traveled by plane but not by train, 55 traveled by train but not by plane, 30 traveled by bus but not by plane or by train, 70 traveled by bus and plane, 35 traveled by all three, and 215 traveled by plane or train. How many did not travel by any of these modes of transportation
Answer:
40
Step-by-step explanation:
Given that
Total number of adults, U = 285
Number of plane travellers, P = 75
Number of train travellers, T = 55
To find the number of people that didn't travel by any means of transportation listed in the question, then we say
Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.
This means that number of people who didn't travel by any of the three means of transportation, N =
N = U - pt - b
N = 285 - 215 - 30
N = 40
Therefore, the total number needed is 40
Use the scatter plot of car resale values to answer the following question
Car Resale Values
100
How many square feet of outdoor carpet will we need for this hole
Answer:
40 ft²
Step-by-step explanation:
The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle
✔️Area of triangle 1:
Area = ½*bh
b = 6 - 3 = 3 ft
h = 11 - 7 = 4 ft
Area of triangle 1 = ½*3*4 = 6 ft²
✔️Area of triangle 2:
Area = ½*by
b = 2 ft
h = 3 ft
Area of triangle 2 = ½*2*3 = 3 ft
✔️Area of rectangle = L × W
L = 11 ft
W = 3 ft
Area of rectangle = 11 × 3 = 33 ft
✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²
Which of these triangles are definitely not congruent to any of the others?
Check all that apply.
Answer:
B and D
Step-by-step explanation:
A might be congruent to E.
C might be congruent to F.
B and D are not congruent to any of the others.
Where is the blue dot on the number line?