A crane cable can support a maximum load of 22,000 kg. If a bucket has a mass of 5,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel can safely lifted by the crane?
Final answer:
The crane can safely lift approximately 11.33 cubic meters of gravel, taking into account the maximum load the cable can support and the mass of the bucket and gravel.
Explanation:
We need to calculate the maximum volume of gravel a crane cable can lift, given the maximum load it can support. The crane's cable can support a maximum load of 22,000 kg. Since the bucket that carries the gravel has a mass of 5,000 kg, we subtract this mass from the maximum load the cable can support to find the maximum mass of gravel that can be lifted:
22,000 kg (max load) - 5,000 kg (bucket mass) = 17,000 kg (max gravel mass)
Given that 1 cubic meter of gravel has a mass of 1,500 kg, we can calculate the volume of gravel that can be safely lifted by the crane by dividing the maximum gravel mass by the mass of gravel per cubic meter:
17,000 kg (max gravel mass) ÷ 1,500 kg/m³ (gravel density) = 11.33 m³
Therefore, the crane can safely lift approximately 11.33 cubic meters of gravel.
Using repeated addition solve 5x4
Using repeated addition, the value of 4 x 5 will be 20.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The expression is given below.
⇒ 5 x 4
Using repeated addition, the expression can be written as,
⇒ 5 + 5 + 5 + 5
⇒ 20
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
kelly ate 7 apples. this represents 50% of the bag of apples. how many apples were originally in the bag
Raj's hourly wage is 5.50. He already saved 68 dollars for a $200 video game system. How many hours does Raj need to work to earn the remainder of the money he needs to buy the video game system?
What is the domain and range of the function shown in the graph?
Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold. Which expression represents the total amount Tony earns from selling blankets?
~~~~~~~~The answer IS 12x~~~~~~~~
order greatest to least for the following 2.007, 2.714, 2.09, 2.97
Express the following number using expanded form, unit form, and word form: 625.25
A jug holds 4.8 liters. How many milliliters does it hold?
we know that
[tex]1\ liter=1,000\ milliliters[/tex]
so
By proportion
Find how many milliliters are [tex]4.8\ liters[/tex]
[tex]\frac{1,000}{1} \frac{ml}{l} =\frac{x}{4.8} \frac{ml}{l} \\ \\ x=1,000*4.8\\ \\x=4,800\ ml[/tex]
therefore
the answer is
[tex]4,800\ milliliters[/tex]
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
Answer: 10 in.
Step-by-step explanation:
Given : The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph.
We can write 200% = 2 [ ∵ to convert percent into decimal or fraction we divide it by 100 and [tex]200\div100=2[/tex] ]
Since , The original photo has a width of 5 in.
Then, the width of the copy will be :-
[tex]2\times5=10\ in.[/tex]
Hence, the width of the copy will be 10 in.
Shawn wants to model the number 13,450 using base ten blocks how many large cubes flats and longs does he need model the number
a backpack manufacturer produces an internal frame pack and an one hour and let y represent the number of external frame packs produced in one hour.Then the inequalities x+3y<=18,2x+y<=16,x>=0 and y>=0 describe the constraints for manufacturing both packs.Use the profit function f(x,y)=50x+80y and the constraints given to determine the maximum profit for manufacturing both packpacks for the given constraints
The maximum, 1280, occurs at (0,16).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The inequality is,
x + 3 < 18
x < 15
And,
2x + y < 16
y < - 2x + 16
Now, you can see the constraint, x + 3 < 18 doesn't even enter into calculating the feasible region because the constraint, 2x + y < 16 really identifies the region.
Now, We can Check the value of the function at the three vertices as:
At (0,0):
f(x, y) = 50x + 80y = 0
At (8, 0);
f(x, y)=50x+80y
f (8, 0) = 400
At (0, 16);
f(x, y ) = 50x+80y
f (0, 16) = 1280
Thus, The maximum, 1280, occurs at (0,16).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
please help
ok it's blurry sorry
Your teacher divides your class into two groups and then randomly chooses a leader for each group the probability that you are chosen to be a leader is 1÷12 the probability that both you and your best friend are choosing is 1÷132 is your best friend in your group explain
Answer:
1 DIVIDED BY 12 IS 1 SO SAME THING WITH 1 DIVIDED 132 IS 132 SO ADD THEM AND YOU SHOULD GET YOUR ANSWER PS i dont know the answer
Step-by-step explanation:
No, my best friend is not in my group.
Let's break down the probabilities to determine if your best friend is in your group. The probability that you are chosen as a leader is [tex]\frac{1}{12}[/tex]. Let’s denote your best friend by BF. Given that the probability that both you and best friend are chosen as leaders is [tex]\frac{1}{132}[/tex], we need to check if BF is in your group.If your best friend is in your group, then there is only one leader to be chosen from this group. Hence, the probability that you and your best friend are chosen from the same group would be calculated by selecting the group leader and then the remaining leader from the other group.In this scenario, the probability of you and your best friend being chosen as leaders would typically depend on the group size and configuration.Since the probability of you both being chosen is [tex]\frac{1}{132}[/tex], this indicates that you are more likely not in the same group. If BF were in the same group, the probability would be calculated based on how likely both members are to be from the same group, considering the overall class size and number of groups.Thus, given the probability details, we can conclude that your best friend is not in the same group as you.A one-minute advertisement on a local television station during prime time (8- 10 p.m. on weeknights) costs the advertiser $12,800. To the nearest cent, how much does the advertisement cost per second? Show your work using dimensional analysis and Giant Ones.
The cost of the advertisement per second is $213.33 to the nearest cent.
Explanation:To find the cost per second of the advertisement, we need to convert the cost from dollars per minute to dollars per second. We can use dimensional analysis to do this.
First, we know that there are 60 seconds in one minute. So, we can set up a conversion factor to convert from minutes to seconds:
1 minute = 60 seconds
Next, we set up a ratio using the given cost per minute and the conversion factor:
$12,800/1 minute * 1 minute/60 seconds = $213.33/second
Therefore, the cost of the advertisement per second is $213.33 to the nearest cent.
6-13x=24-10(2x+8)+62+7x
There are 111 guest attending a party there are 15 servers each server has the same number of guest to serve Jess will serve any extra guest how many guest will Jess be serving? Please help me
Answer: The required number of guests served by Jess is 13.
Step-by-step explanation: Given that there are 111 guest attending a party there are 15 servers each server has the same number of guest to serve.
If Jess will serve any extra guest, then we are to find he number of guests served by Jess.
By division algorithm, we can write
[tex]111=7\times15+6\\\\\Rightarrow 111=7\times14+(7+6).[/tex]
So, 14 servers will serve 7 guests each and Jess will serve 7 guests along with extra 6 guests.
Therefore, the total number of guests served by Jess is given by
[tex]n=7+6=13.[/tex]
Thus, the required number of guests served by Jess is 13.
If ABCD is a parallelogram, what can we say about the diagonals BD and AC?
A.They're congruent to sides AD and BC
B. They bisect each other
C. They're congruent to sides AB and DC
D. They're congruent
Answer: The answer is D
Step-by-step explanation:
Which property of equality would you use to solve the equation 14x=56
The division property of equality is used to solve equality 14x = 56 where x = 4.
What is equality?In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
The given equality is,
14x = 56
Using division property of equality,divide both side by 14
14x/14 = 56/14
Solving we get,
x = 4
Thus, the division property of equality is used to solve equality 14x = 56 where x = 4.
To learn more about property of equality:
https://brainly.com/question/4597952
#SPJ2
How do I solve this question?
what are the steps to
2 divided by 1054
when multiplying and subtracting fractions ... 5/6-3/4
What is (-8)to the power of 2 equal??
Santiago receives an allowance of 7$ every week
How much total does he receive after 4 weeks
Write in exponent form and word form. 10x10x10x10x10x10
Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
Triangle 1: 3 in., 6 in., 7 in.
Triangle 2: 3 in., 6 in., 8 in.
Triangle 3: 3 in., 7 in., 8 in.
Triangle 4: 6 in., 7 in., 8 in.
How many of his triangles are obtuse?
(a.)1
(b.)2
(c.)3
(d.) 4
The number of obtuse triangles from the information will be 3.
What is an obtuse triangle?
It should be noted that an obtuse triangle is a triangle with one obtuse angle that is greater than 90° and two acute angles.
Given that, Jamel is asked to create triangles using three of four given sticks. The sticks measure 3 in., 6 in., 7 in., and 8 in. He creates these 4 triangles.
In this case, Jamel is asked to create triangles using three or four given sticks. In an obtuse triangle, the square of the third side is always greater than the sum of the two sides.
Therefore, By the given numbers there can be made 4 triangles having sides:
1) 3, 6, 7
3) 3, 7, 8
4) 3, 6, 8
Therefore, the correct option will be 3.
Learn more about triangles on:
brainly.com/question/23945265
#SPJ6
One-eighth of the 32 students in the class went abroad for fall break. How many students went abroad?
divide 32 by 8
32/8 = 4 students went abroad
a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%. for what price does the salon sell each bottle
The price the salon sells each bottle is 6.3 if a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
A beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.
From the question:
= 40% of 4.50
= 1.8
= 1.8 + 4.5 = 6.3
Thus, the price the salon sells each bottle is 6.3 if a beauty salon buys bottles of styling gel for 4.50 per bottle and marks up the price by 40%.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
Answer:
axis of symmetry at x=2
Step-by-step explanation:
[tex]y - 4x = 7 - x^2[/tex]
LEts solve for y
Add 4x on both sides
[tex]y=- x^2+4x+7[/tex]
To find axis of symmetry we use formula
[tex]x=\frac{-b}{2a}[/tex]
the equation in the form of ax^2 + bx+c
a= -1 , b= 4
Plug in the values
[tex]x=\frac{-4}{2(-1)}=2[/tex]
So axis of symmetry at x=2
What is 0.04 divided by 10