The elevator can carry the adults with average mass of 80 kg.
Step-by-step explanation:
Given
Capacity to weight that can be hold by elevator = 2500 pounds
Average mass of one adult = 80 kg
Average mass of 10 adults = 80*10 = 800kg
We need to have the weights in same unit in order to determine whether the elevator can carry the adults or not.
We will convert the weight of 10 adults into pounds.
1 kg = 2.205 pounds
800 kg = 800*2.205 = 1764 pounds
Therefore,
1764 pounds < 2500 pounds
The elevator can carry the adults with average mass of 80 kg.
Keywords: conversion, multiplication
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By converting the average mass from kilograms to pounds and multiplying by the number of adults, the total weight is calculated to be 1763.696 pounds, which is under the elevator's capacity of 2500 pounds, so the elevator can carry them safely.
Explanation:The student is asking whether an elevator would be able to carry 10 adults with an average mass of 80 kg each without exceeding its maximum weight capacity of 2500 pounds. To answer this, we will first convert 80 kg to pounds and then multiply by the number of adults to find the total weight. After that, we can compare the total weight with the maximum capacity of the elevator.
First, let's convert the average mass of one adult from kilograms to pounds. Since 1 kg is equal to approximately 2.20462 pounds, we can calculate like this:
80 kg * 2.20462 lbs/kg = 176.3696 lbs per adult
Now, multiplying this by 10 adults:
176.3696 lbs/adult * 10 adults = 1763.696 lbs for 10 adults
When comparing this total weight of 1763.696 pounds to the elevator's maximum capacity of 2500 pounds, we see that the weight of 10 adults is less than the elevator's capacity.
Therefore, the elevator can safely carry 10 adults with an average mass of 80 kg each.
A cannon launches a cannon ball into the air at an angle. Which of the
following two terms best describe the cannon ball's motion?
A. Two-dimensional motion
B. One-dimensional motion
C. Speed
D. Projectile motion
Answer:
A. Two-dimensional motion
D. Projectile motion
Step-by-step explanation:
The cannon ball is a projectile, so it follows projectile motion. Since it is launched at an angle, it moves both vertically and horizontally, so it also has two-dimensional motion.
At midnight, the temperature was 34°F. By 6:00 a.m. it had dropped 8°, and by noon it had increased by 11°. What was the temperature at noon?
Answer:
The temperature at noon was 37 °F.
Step-by-step explanation:
Given:
Temperature at midnight is 34 °F.
Reduction in temperature by 6:00 a.m. is 8°. So, temperature after reduction is given as the difference in temperature at midnight and morning.
Therefore, temperature by 6:00 a.m. in the morning is given as:
Reduced temperature = Midnight temperature - Reduction in temperature.
Reduced temperature = 34 °F - 8 °F = 26 °F.
Now, by noon, the temperature is increased by 11 °F. Therefore, the final temperature by noon is addition of 11 degree to the temperature that was in the morning. Therefore,
Temperature at noon = Temperature in morning + Increase in temperature.
Temperature at noon = 26 °F + 11 °F = 37 °F.
So, the temperature at noon is a 3 °F increase to the temperature at midnight and is equal to 37 °F.
37 boiiiiiiiiiiiiiiiii
what expression is equivalent to 2(x + 7)-18x+4/5
To simplify the expression 2(x + 7) - 18x + 4/5, you distribute the 2 across (x + 7), then combine like terms to get the equivalent expression, which is -16x + 14 + 4/5.
Explanation:The expression that is equivalent to 2(x + 7) - 18x + \(\frac{4}{5}\) can be simplified through the distributive property and combining like terms. First, distribute the 2 into the parentheses:
2(x) + 2(7) - 18x + \(\frac{4}{5}\)
= 2x + 14 - 18x + \(\frac{4}{5}\).
Next, combine like terms by subtracting 18x from 2x:
(2x - 18x) + 14 + \(\frac{4}{5}\)
= -16x + 14 + \(\frac{4}{5}\).
So the equivalent expression is -16x + 14 + \(\frac{4}{5}\).
A carpet square is 9inches what’s the area of the carpet square?
Answer:
The area of the carpet which is square in shape is 81 [tex]inches^2[/tex]
Step-by-step explanation:
Given:
side of the carpet square = 9 inches
To Find:
area of the carpet square = ?
Solution:
The area of the carpet = area of the square
we know that the area of the square is
=> side X side
Substituting the side of the square, we get
=> 9 X 9
=> 81 [tex]inches^2[/tex]
33 take test 25 passed what percentage failed
Answer:
24.24%
(Round down to 24% if needed)
Step-by-step explanation:
33 - 25 = 8 failed
Find Percentage
8/33 = x/100
Cross multiply
8(100) = 33(x)
800 = 33x
x = 24.24%
Hope this helps :)
Answer:
75%
Step-by-step explanation:
because...
you divide 33 by 25 and you get 0.75757575757
and you just roud that to about 75%
Use a paragraph, flow chart, or two-column proof to prove the angle congruence. Given: CXY ≅ BXY CAX ≅ BAX AC≅ AB Prove: XCY ≅ XBY
The Question is Incomplete with the Figure,So the complete Question with Diagram is below.
Answer:
The Proof is given Below.
Step-by-step explanation:
Given:
∠CXY ≅ ∠BXY
∠CAX ≅ ∠BAX
AC≅ AB
To Prove:
∠XCY ≅ ∠XBY
Proof:
In Δ AXC and Δ AXB
STATEMENT REASONS
1. AC ≅ AB 1. Given
2. ∠CAX ≅ ∠BAX 2. Given
3. AX ≅ AX 3. Reflexive Property
4. ΔAXC ≅ ΔAXB 4. Side-Angle-Side congruence test
5. ∴ CX ≅ BX 5.corresponding parts of congruent triangles........( 1 )
Now ,
In Δ XYC and Δ XYB
STATEMENT REASONS
1. CX ≅ BX 1. Proved above from ( 1 )
2. ∠CXY ≅ ∠BXY 2. Given
3. XY ≅ XY 3. Reflexive Property
4. ΔAXC ≅ ΔAXB 4. Side-Angle-Side congruence test
5. ∴ ∠XCY ≅ ∠XBY 5. Corresponding parts of congruent triangles...........Proved
Answer:
See attached image
Step-by-step explanation:
Hope this helps!
What is 10+10 Please help meeee
Answer:
20
Step-by-step explanation:
10 + 10 = 20
Hope this helps :)
alex bakes $24$ apple, blueberry, and cherry pies. The ratio of apple to blueberry to cherry pies is $1:4:3$. How many cherry pies did Alex bake?
Answer:
Alex baked 9 cherry pies
Step-by-step explanation:
apple : blueberry : cherry = 1:4:3
apple + blueberry + cherry = 24
1 part: 24 / ( 1+4+3) = 24 / 8 = 3
** Cherry has 3 parts: 3 x 3 = 9
check: apple = 3 x 1 = 3
blueberry: 3 x 4 = 12
12 + 3 + 9 = 24
Answer:
9
Step-by-step explanation:
Aops Problem
Vendelin lives between two bus stops in 3/8 their lenght. Bus speed is 60 km/h. If Vendelin runs from home, he will be at the bus stop at the same time as bus. What is speed of Vendelin?
Answer:
Speed of Vendelin is 60 kilometre per hour.
Step-by-step explanation:
Given:
The Distance two bus stops = [tex]\frac{3}{8}[/tex]
Speed of the bus = 60 km/h
To Find:
The Speed of vendelin = ?
Solution:
Let the speed bof vendelin be x. the it is stated that
" If Vendelin runs from home, he will be at the bus stop at the same time as bus."
So
Time Taken by the bus
=>[tex]\frac{ \text{ distance between the bus stop}}{\text{ speed of the bus}}[/tex]
=>[tex]\frac{\frac{3}{8}}{60}[/tex]
=>[tex]\frac{\frac{3}{8}}{\frac{1}{60}}[/tex]
=>[tex]\frac{3}{480}[/tex]------------------------------(1)
Time Taken by Vendelin
=>[tex]\frac{ \text{ distance between the bus stop}}{\text{ speed of Vendelin }}[/tex]
=>[tex]\frac{\frac{3}{8}}{x}[/tex]
=>[tex]\frac{3}{8x}[/tex]----------------------------------(2)
Equating (1) and (2) we get
[tex]\frac{3}{480}[/tex] = [tex]\frac{3}{8x}[/tex]
[tex]3 \times 8x = 3 \times 480[/tex]
[tex]3 \times 8x = 1440[/tex]
[tex] 8x =\frac{1440}{3}[/tex]
[tex] 8x = 480[/tex]
[tex] x =\frac{480}{8}[/tex]
x = 60
When lines the bottom of her first pan with aluminum foil. The area of the rectangle piece of foil is 11 1/4 in.². Its length is 4 1/2 inches. What is the width of the foil
Answer:
2.5 or 2 1/2 in
Step-by-step explanation:
Area = width x length
width = area / length = 11.25 / 4.5 = 2.5
What is 653,228
rounded to the nearest thousand
653,000 I think
since the thousands place has a 3, the first part would stay the same, 000 is added
Hope I helped :)
Answer:
653,228
Step-by-step explanation:
_________
l 700,000 l
l_________l
cause 5 is over 5 and 5 +1 to 6 +7 and all other numbers will become 0's so its 700,000
The dimensions of a right rectangle prism are 3/4 m, 1.89 m, and 3 m.
What is the volume of the right rectangle prism use the formula V = l x w x h
Answers
A. 1.4175 m^3
B. 2.25 m^3
C. 4.252 m^3
D. 5.64 m^3
The volume of the right rectangle prism is V = 4.252 m³.
The correct option is C.
What is prism?In three-dimensional space, a prism is a polyhedron where two ends are similar.
Given:
The dimensions of a right rectangle prism are 3/4 m, 1.89 m, and 3 m.
The volume of the right rectangle prism use the formula V = l x w x h.
That means,
V = 3/4 x 1.89 x 3
V = 4.252 m³
Therefore, V = 4.252 m³.
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Write an integer to match A deposit of $225
Answer:
225
Step-by-step explanation:
A deposit is when you add money yo your bank account, so when there is a deposit , you would add
Seth goes to the farmers' market every month to buy some of Ms. Wells's homemade jam. The jam costs $5 per jar. Last weekend, Ms. Wells gave a 20% discount for buying at least two flavors. So, Seth bought b jars of blackberry jam and s jars of strawberry jam.
Pick all the expressions that represent how much Seth spent on jam last weekend.
Seth's spending on jam can be represented by two expressions: 0.80*J*(b + s) and 4*(b + s). The calculations involve finding the total cost without the discount, finding the amount of the discount, and then subtracting the discount from the total cost.
Explanation:Let's denote the price of one jar of jam as J, which is $5. The number of jars of blackberry jam that Seth bought is denoted as b, and the number of jars of strawberry jam as s. Without the discount, the total cost for all the jam he bought would be J*(b + s). Given that Ms. Wells offers a 20% discount for purchasing at least two jars of jam, Seth's actual spending would be
Calculate the total cost without the discount: J*(b + s), Calculate the amount of the discount: 0.20*J*(b + s), Subtract the discount from the total cost: J*(b + s) - 0.20*J*(b + s).
So, Seth's spending is represented by the expression 0.80*J*(b + s) or, substituting J = $5, by 4*(b + s).
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A professor wants to randomly select 4 students to go to the board. She decides to randomly select the fourth student who enters the classroom and every ninth student after that. Determine the students who will be going to the board. Write down the student numbers.
To determine the students selected to go to the board, start with the fourth student and then select every ninth student thereafter. Thus, the students chosen are the 4th, 13th, 22nd, and 31st students who enter the classroom.
Explanation:The question involves determining which students a professor will select to go to the board based on a specific selection process. The professor decides to randomly select the fourth student who enters the classroom and every ninth student after that. To find out who these students are, we begin by identifying the fourth student initially. After the fourth student, every ninth student subsequently means we add 9 to the initial student's number to find the next student.
The fourth student who enters
The fourth student + 9 = the 13th student
The 13th student + 9 = the 22nd student
The 22nd student + 9 = the 31st student
Therefore, the students selected to go to the board are the 4th, 13th, 22nd, and 31st students who enter the classroom.
The students who will be going to the board are students 4, 9, 18, and 27.
Let’s determine the students who will be going to the board based on the professor’s selection criteria:
1. The fourth student who enters the classroom.
2. Every ninth student after that.
Let’s find the student numbers:
1. The fourth student corresponds to the 4th position.
2. The ninth student corresponds to the 9th position.
3. The 18th student corresponds to the ninth student after that (since 9 + 9 = 18).
4. The 27th student corresponds to the ninth student after the 18th student (since 18 + 9 = 27).
Therefore, the students who will be going to the board are students 4, 9, 18, and 27.
what is the square root of 38?
Answer:
6.164414
You can figure this out because 6.164414x6.144414 is 38.
plz hurry!!!! thank you!!!!
Step-by-step explanation:
If there's supposed to be a pic its not popping up...
If Jake is skiing at 4.5km at week 6 which statement is true?
He is above his goal
He is at his goal
He is below his goal
Answer:
He is below his goal
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x -----> the number of weeks
y ---->skiing distance in kilometers
Looking at the graph of Jake's goal
we have the ordered pair (6,5)
That means
The number of kilometers from Jake's goal for week 6 is 5 kilometers
and
In the actual Jake is skiing at 4.5 km at week 6
so
[tex]4.5\ km < 5\ km[/tex]
therefore
He is below his goal
2 times what equals 120
In order to solve the problem '2 times what equals 120', you need to find the value of X in the equation 2*X = 120. The answer is 60, as 2 times 60 equals 120.
Explanation:In Mathematics, the problem "2 times what equals 120" is an example of a basic equation you can solve. When you're trying to find the number that 2 times, or multiplied by 2, equals 120, you're looking for the value of the unknown variable in the equation 2*X = 120. To solve this, you would divide both sides of the equation by 2. Thus, X equals 60 because 2 times 60 equals 120.
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To find the number that when multiplied by 2 equals 120, you simply divide 120 by 2, which results in 60.
To find this number, we divide 120 by 2. Therefore, the equation is 2 x ? = 120.
Dividing 120 by 2 gives us:
120 ÷ 2 = 60.
So, 2 times 60 equals 120.
Emily and Chen built clay figurines for art class. Emily figurine is 5' 1" tall Chen's figurine is 3' 8" tall how much taller is emily's figurine than chen's in inches
Emily's figurine is 17 inches taller than Chen's figurine
Step-by-step explanation:
Emily and Chen built clay figurines for art class
Emily figurine is 5' 1" tallChen's figurine is 3' 8" tallWe need to find how much taller is Emily's figurine than Chen's in inches
To solve this problem we must to change the heights of the two figurines to inch
∵ Emily's figurine is 5' 1" tall ⇒ 5 feet and 1 inch
∵ 1 foot = 12 inches
∴ The height of Emily's figurine = 5(12) + 1
∴ The height of Emily's figurine = 60 + 1
∴ The height of Emily's figurine = 61 inches
∵ Chen's figurine is 3' 8" tall ⇒ 3 feet and 8 inches
∵ 1 foot = 12 inches
∴ The height of Chen's figurine = 3(12) + 8
∴ The height of Chen's figurine = 36 + 8
∴ The height of Chen's figurine = 44 inches
To find how much taller is Emily's figurine than Chen's in inches subtract their heights
∵ The difference between the two figurine = 61 - 44
∴ The difference between the two figurine = 17 inches
∴ Emily's figurine is 17 inches taller than Chen's figurine
Emily's figurine is 17 inches taller than Chen's figurine
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Find the unit rate please and thank you...
Answer:
the unit rate is 1/10.
Step-by-step explanation:
4/40 divided by 4 equals 1/10
unit rate is 0.1 tickets per dollar
X= 2/8
What is its additive inverse?
Question 3 options:
-2/8
2/8
8
1/2
Answer:
-2/8
Step-by-step explanation:
The rule of additive inverse stays the same with fractions
Answer:
-2/8
Step-by-step explanation:
PLEASE HELP ASAP!!!!
Write each ratio as a fraction in lowest terms.
1.8 to 9
2.11 to 15
3.30 minutes to 90 minutes
Answer:
1 to 5
211 to 1500
11 to 300
Step-by-step explanation:
1.8 to 9 = 18/90 = 1(18)/5(18) = 1/5 = 1 to 5
2.11 to 15 = 211/1500 = 211 to 1500
3.30 to 90 = 330/9000 = 110/3000 = 11/300 = 11 to 300
what is the solution of the systrem 2x - y = -7 4x - y = -4
Answer:
x=3/2, y=10. (3/2, 10).
Step-by-step explanation:
2x-y=-7
4x-y=-4
--------------
-2(2x-y)=-2(-7)
4x-y=-4
---------------------
-4x+2y=14
4x-y=-4
-----------------
y=10
2x-10=-7
2x=-7+10
2x=3
x=3/2
Which expression is equivalent to
2/3(9x-6)+4(1/2 x -- 1/2)
a:2/3(6x-9)+1/6(x+12)
b:2/3(3x-6)+1/6(x-12)
c:3/4(4x-8)+5(x+15)
d:3/4(4x-12)+1/6(30x+18)
Answer:
D
Step-by-step explanation:
Try dividing
10 POINTS!! Brainliest!
Find the volume of the prism. Round to the nearest tenth if necessary.
Answer:
308 cm³
Step-by-step explanation:
The volume (V) of a rectangular prism ( cuboid ) is
V = lbh ( l is the length, b the breadth and h the height )
Here l = 11, b = 7 and h = 4, thus
V = 11 × 7 × 4 = 308 cm³
AN EASY PERCENTAGE PROBLEM. In a semiconductor companies quality control test machine found that 22 out of a sample of us 600 computer chips were defective how many of the 36,000 computer chips the company makes each year would you expect to be defective???
Answer:
1320
Step-by-step explanation:
Write a proportion.
22 / 600 = x / 36,000
Cross multiply.
600x = 22 × 36,000
Solve for x.
x = 1320
Answer:
Step-by-step explanation:
1320
PLS NEED ASAP
FIRST WILL BE AWARDED
find the value of x in each case.
1. Use the exterior angle theorem that states that an exterior angle in a triangle is equal to its two remote interior angles.
x+46=84
x=38 degrees
2. There are two parallel lines cut by transversal. We can see a same side interior relationship.
3x-5+90+2x=180
5x=95
x=19 degrees
3. Use exterior angle theorem again.
90+34=x+72
x=52 degrees
Describe, in words, the solution set for the following equation.
3x+3=3+3x
Answer:
Infinite Answers
Step-by-step explanation:
You subtract 3x from both side which leaves you with 3=3, which leaves you to conclude there are infinite answers to this equation.
-18g+14g+14g=-10 solve for g
Answer:
-1
Step-by-step explanation:
add the 3 numbers together and then you get 10 so then you divide -10 by 10 and you -1
Answer:
g=5/23
Step-by-step explanation:
46g=1046/46g=g10/46=5/23g=5/23