Answer:
30 cm
Step-by-step explanation:
Area = 225 m^2
1/2bh = 225
b×15 = 225×2
B = 225×2/15
b = 30 cm
A shipping container will be used to transport several 80-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 26500
kilograms. Other shipments weighing 6300 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 80-kilogram crates that can be loaded into the shipping container.
Answers:
The inequality to solve is [tex]80x+6300 \le 26500[/tex]The solution to the inequality is [tex]x \le 252.5[/tex]Interpretation: The most crates we can load is 252 since we can only load a positive whole number of crates, and because 253 is too many.==============================================================
Explanation:
x = number of 80-kilogram crates
x is some positive whole number
1 crate weighs 80 kilograms, so x of them will weigh 80x kilograms.
This is added on top of the 6300 kg from the other cargo already on board.
We have a total weight of 80x+6300. Let's call this T.
So T = 80x+6300
We want T to be 26500 or smaller. Otherwise, we've gone over capacity.
This must mean we want [tex]T \le 26500[/tex] which is the same as saying [tex]80x+6300 \le 26500[/tex] after replacing T with 80x+6300.
---------------------------
Let's follow PEMDAS in reverse to isolate x
[tex]80x+6300 \le 26500\\\\80x+6300-6300 \le 26500-6300 \ \text{ ... subtract 6300 from both sides}\\\\80x \le 20200\\\\\frac{80x}{80} \le \frac{20200}{80} \ \text{ ... divide both sides by 80}\\\\x \le 252.5\\\\[/tex]
The inequality sign stays the same the entire time. It would only flip if we divided both sides by a negative number.
In the last step, we get a decimal value. However, as stated earlier, x is a positive whole number.
We cannot round to 253 because that's too high. We can check x = 253 is too high by noticing that...
80x+6300 = 80*253+6300 = 26,540
which is over the 26,500 mark by 40 kg
So we must round down to the nearest whole number and find that x = 252 is the largest x value possible. Let's check to see if we're under the weight limit
80x+6300 = 80*252+6300 = 26,460
We're under the 26,500 weight limit (with 40 kg to spare)
In short, the most crates that we can load is 252 crates in addition to the other cargo that collectively weighs 6300 kg (which may or may not consist of those 80-kilogram crates).
Hello im in 8th grade and I need to get my grades up so anyone know the answer to
-12 minus 12x = 36
work also needs to be shown if possible thank you
Answer:
x = 3
Step-by-step explanation:
12x = 36
simply 12 will go to the other side and switches to the opposite sign for example + will be -
× will br ÷
so 36 ÷ 12 =3
x = 3
PLEASE HELP ME!!PLEASE HELP ME!!!!!
Answer:
The actual dimensions would be 3.375 feet by 3.5 feet. The area of the room would be 11.8 square feet.
Step-by-step explanation:
What is the measure of the missing angle? *
H
60°
82%
Answer:
38 degrees
Step-by-step explanation:
180 - (60 + 82) =
180 - 142 =
38 degrees
Hope that helps!
what is the domain of the function a^x
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Step-by-step explanation:
Answer:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Step-by-step explanation:
Identify the input values.
Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...
The solution(s) are the domain of the function.
Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.
Someone help please!!
Answer: (x, y, z) = (-3, 2, 4)
In other words, x = -3, y = 2 and z = 4.
You'll enter the number only into each box.
===============================================================
Explanation:
There are a few routes we can take to solve this. I'll use substitution.
First let's isolate y in the second equation.
2x - y + 3z = 4
2x + 3z = 4+y
4+y = 2x+3z
y = 2x+3z-4
This is then plugged into the first equation
3x+2y+4z = 11
3x+2( y )+4z = 11
3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4
3x+4x+6z-8+4z =11
7x+10z-8 = 11
7x+10z = 11+8
7x+10z = 19 .... we'll call this equation (4) and come back to this later
--------------------------------------
Move onto the third equation (of the original equations given)
Plug in y = 2x+3z-4
5x - 3y + 5z = -1
5x - 3( y ) + 5z = -1
5x - 3( 2x+3z-4 ) + 5z = -1
5x - 6x - 9z + 12 + 5z = -1
-x - 4z + 12 = -1
-x - 4z = -1-12
-x - 4z = -13 ..... let's call this equation (5)
--------------------------------------
To recap, we found equation (4) and equation (5) to be
7x+10z = 19-x - 4z = -13We can then solve for x in equation (5) like so
-x - 4z = -13
-x = -13 + 4z
-x = 4z - 13
x = -(4z - 13)
x = -4z + 13
This is then plugged into equation (4)
7x+10z = 19
7(-4z+13)+10z = 19 .... note how we now have one variable
-28z+91+10z = 19
-18z+91 = 19
-18z = 19-91
-18z = -72
z = -72/(-18)
z = 4
We can use this value of z to find x
x = -4z+13
x = -4(4)+13
x = -16+13
x = -3
Use the values of x and z to find y. We'll revisit the first equation in which we isolated y
y = 2x+3z-4
y = 2(-3)+3(4)-4
y = -6+12-4
y = 6-4
y = 2
So overall, the solution to this system is (x, y, z) = (-3, 2, 4)
-------------------------------
Checking the answer:
We'll replace x,y,z with the values we found.
In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4) turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.
Need help with this asap!
Answer:
"m" coefficient: ∅, variable: m, degree: ∅, constant:∅"-7a²" coefficient: -7, variable:a, degree:², constant:∅"3t²+4t-6" coefficient:3 and 4, variable t, degree ², constant 6"2-h" coefficient ∅, variable h, degree ∅, constant 2PLSSSS HELPPPPP ASAPPPP
Answer:
b
Step-by-step explanation:
solve for x,y and z in the following diagrams
What is the perimeter of the composite figure?
Answer: 96 cm
Step-by-step explanation:
The perimeter is the combined sum of the sides.
So 18 + 22 + 3 + 8 + 6 + 15 = 72
To find the 2 missing sides we use the information we already have.
On the top, we can see 18 is overall the largest line from the missing side.
So we'll need to subtract something from 18.
15 - 8 = 7 ( Inferencing )
18 - 7 = 11 ( length of the top missing side )
22 - 9 = 13
11 + 13 + 72 = 96 cm
Answer: The perimeter is 85 cm
Step-by-step explanation:
To find the perimeter you will need to add the distance around the shape.
But there seem to be one missing side .
To find that missing side we will have to add 3cm and 6 cm then subtract it from 22.
3 + 6 = 9
22 - 9 = 13
Now add the distance around the shape plus the 13.
22 + 15 + 6 + 8 + 13 + 3 + 18 = 85
50 plus 30 times 14 equalsss
Answer:
470 is your awnser
Step-by-step explanation:
Answer:
50 + 30 * 14 = 470
Step-by-step explanation:
50 + 30 * 14
= 50 + 420
= 470
What’s the rate of -5x - 6
Answer:
30
Step-by-step explanation:
You took a test that had 45 questions. You got 42 correct. What percent of the questions did you get correct
Carter bought 3/4 yard of fabric for an art project. He used 3/8 yard of the fabric. What fraction of a yard of fabric does Carter have left?
Answer:
3/8
Step-by-step explanation:
He purchased 3/4 yard of fabric, then used 3/8 of it. You would need to subtract the 3/8 from 3/4 because the fabric is being used up.
How do you write 6.14 × 105 in standard form?
Answer:
644.7
Step-by-step explanation:
How many 3-inch thick bags of mulch should Noemi buy to cover 100 square feet at a depth of 4 inches? The length is 3.2ft and the width is 2.5ft.
Answer:
Approximately 17 bags.
Step-by-step explanation:
The length of the bag of mulch = 3.2 ft
The width of the bag of mulch = 2.5 ft
The thickness of the bag of mulch = 3 inch = 0.25 ft
Volume of a bag of mulch = length x width x thickness
= 3.2 x 2.5 x 0.25
= 2 cubic feet
So that, the volume of a bag of mulch is 2 cubic feet.
The area to be covered = 100 square feet
The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet
volume of the portion to be covered = area x depth
= 100 x [tex]\frac{1}{3}[/tex]
= 33 [tex]\frac{1}{3}[/tex] cubic feet
The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.
The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]
= 16[tex]\frac{2}{3}[/tex]
= 16.6667
The number of bags of mulch needed is 17.
pleasee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
BDE
or
EDB
Step-by-step explanation:
Make the marked angle, D, your center point. Find the two other points of the angle, E and B. write them in order, forwards and backwards.
In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?
8.95 +1.50r= Total
Someone help ASAP!
Write an equation in slope-intercept form of the line that passes through the points (-2, - 11) and (3,9).
The equation is y=
Answer:
y = 4x - 3
Step-by-step explanation:
(-2, -11) & (3, 9)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(9 - (-11)) / (3 - (-2))
Simplify the parentheses.
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.
9 = 4(3) + b
To find b, multiply the slope and the input of x(3)
9 = 12 + b
Now, subtract 12 from both sides to isolate b.
-3 = b
Plug this into your standard equation.
y = 4x - 3
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -11).
y = 4x - 3
-11 = 4(-2) -3
-11 = -8 - 3
-11 = -11
Your equation is correct.
Hope this helps!
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points and time I will report your if you do that :) have a nice day and stay safe. PEOPLE WORK HARD FOR THERE POINTS IF YOU DON'T KNOW
Answer:
Number 4 is: A,E,F
Step-by-step explanation:
A fossilized leaf contains 8% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.
Answer:
Step-by-step explanation:
0.5^(t/5600) = 0.08
2^(-t/5600) = 0.08
-t/5600 = log₂0.08
t = -5600 log₂0.08 ≈ 20406 years
. To convert the ratio of 3:5 to 5:6, which number should be added on both?
Answer:
7
Step-by-step explanation:
3:5 + 7 = 10:12
10:12 when shortened is 5:6
Mrs. Lawton has a bank balance of $72 at the start of the month. On the 3rd of the month he withdrew $20. Then on the 8th, he withdrew 5 times the amount he withdrew on the 3rd.
1. What is Mrs. Lawton’s bank balance after the 2 withdrawals?
2. How much does Mrs. Lawton need to deposit into her account to give an exact balance of $200?
Answer:
1. Answer -48$
72-20 = 52
20 * 5 = 100
52 - 100= -48
2. 248$
-48 + 248 = 200
Step-by-step explanation:
hope this helps lovely
Da los resultados de las siguientes multiplicaciones de expresiones algebraicas:
1) 2a^2 por 3a=
2) -5x^2 por 2xy=
3) 2m (4m - 3)=
4) (3xy - 2) por ( 5x^2 + 4)=
5) 2a^2 por 3a^3=
6) - xy^2 por -5mx^4y^3=
7) 3a^2b por -4b^2x
Porfa ame urge
Answer:
no se tu dime xd jajajaajajajajajajajsjaa ahahahahahahahahsidigfue
please help this is so important and i need it now
Angle B will be 23 degrees
bs ng to the top left of the most popular c.hatrooms trooms aren't for the best in the United Arab Republic of Ireland in the United Arab Republic in the same time the error occurred to him in a few years later
Step-by-step explanation:
Against the law is a healthy lifestyle of the world of difference between the two of the most important thing is that the only thing we will not...❤️❤️
if m<1=53° what is m<3
Answer:
its 159
Step-by-step explanation:
:
Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When the two boats and the lighthouse are collinear, the boats are exactly 250 feet apart and the boat closest to the lighthouse has an angle of elevation to the top of the lighthouse of 15°, as shown.
What is the value of x, rounded to the nearest hundredth?
Answer:
Which Number Is x, You Didnt Specify
Please help! I need the steps too!
Answer:
The answer is -3 2/7
Step-by-step explanation:
5- 1x1 - -4x4 + 3/2-1-4-4
5 - 1 +16+3/2-1-4-4
4+16+3/-7
23/-7
or - 3 2/7
a 3 lb bag of apples for $2.99 or a 5 lb bag of apples for $4.99
Answer:
theyre the same
Step-by-step explanation:
if we round 2.99 to 3.00 and 4.99 to 5.00, than theyre both $1 per pound
HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2
Answer:
Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.
I can not Put Out The Points So Im sorry.