Answer:
2760 ft^3
Step-by-step explanation:
volume of a cube formula:Length * width* height
volume of the big cube= 11*10*22
= 2420 ft^3
volume of the small cube=7*4*10
=280 ft^3
now to find the total volume= volume of the big cube + volume of the small cube
=2420 + 280
=2760 ft^3
Suppose a class has 24 chairs,6 tables, and 2 teachers, what is the ratio of chairs to tables
Step-by-step explanation:
A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.
Example: 3:5
The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.
24:6
Hope it helps!
6x – 3y = 36 find ySolve the equation below for y.
Answer:
y = 2x -12
Step-by-step explanation:
6x – 3y = 36
Subtract 6x from each side
6x-6x – 3y =-6x+ 36
-3y = -6x +36
Divide by -3
-3y/-3 = -6x/-3 +36/-3
y = 2x -12
C(-3,-1), Q(-2,3)
Find the distance between each pair of points
Answer:
The answer is
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(-3,-1), Q(-2,3)
The distance between them is
[tex] |CQ| = \sqrt{ ({ - 3 + 2})^{2} + ( { - 1 - 3})^{2} } \\ = \sqrt{ ({ - 1})^{2} + ( { - 4})^{2} } \\ = \sqrt{1 + 16} \\ = \sqrt{17} \: \: \: \: \: \: \: \\ = 4.1231...[/tex]
We have the final answer as
[tex] \sqrt{17} \: \: \: or \: \: \: 4.12 \: \: \: \: units[/tex]
Hope this helps you
Can anyone help with number one?
|9x - 9| = 36
To solve for the first solution, simply disregard the absolute value signs.
9x - 9 = 36
Add 9 to both sides
9x = 45
Divide both sides by 9
x = 5
To find the second solution, disregard the absolute value signs and change 36 to -36
9x - 9 = -36
Add 9 to both sides
9x = -27
Divide both sides by 9
x = -3
Now, we need to find the sum of these two solutions.
5 + (-3) = 5 - 3 = 2
Can someone please help
Answer:
-6 degrees F
Step-by-step explanation:
We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.
Answer:
The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6
what is the mathematical expression for the problem withdrawing $10 every week from an outstanding $400?
Answer:
40
Step-by-step explanation:
because if you do 400 divided by 10, it gives you 40
A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the vegetable patch?
Answer: 5 and 4
Step-by-step explanation:
Perimeter = 2 ( L + W)
18 = 2(L + W) divide through by 2
9 = L + W
9 - L = W
Area = L * W
20 = L (9 - L)
20 = 9L - L^2
L^2 - 9L + 20 = 0 factor
(L - 5) (L - 4) = 0
Set both factors to 0 and solve for L
L = 5 and L = 4
Determine the answer to (−5) + 4 and explain the steps using a number line.
Answer:
-1
Step-by-step explanation:
when adding on a number line you always go to the right.
-5+4=-1 , so you would move 4 places to the right on the number line.
(2x-5)/4=6 pls solve it!!
Answer:
ans is 29/2
Step-by-step explanation:
2x-5/4 =6
2x-=24+5
x= 29/2
Answer:
10
Step-by-step explanation:
(2x-5)/4=6
Or, 2x-5=24
Or, 2x=24+5
Or,2x=29
Or,x=29÷2
Or,x=14.5
(4-5i)(-2+7i) what is the answer
Answer:
27 + 38 i
Explanation:
(4 - (5 * i)) * ((-2) + (7 * i)) =
Answer:
[tex] - 35 {i}^{2} + 10i + 20[/tex]
Step-by-step explanation:
-8 + 28 + 10i - 35i^2
-35i^2 + 10i + 20
0= -5/4(x - 6/5) find the solution to x
Answer:
x = 6/5
Step-by-step explanation:
Solve for x:
0 = (-5 (x - 6/5))/4
Hint: | Put the fractions in x - 6/5 over a common denominator.
Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:
0 = (-5)/4 (5 x)/5 - 6/5
Hint: | Combine (5 x)/5 - 6/5 into a single fraction.
(5 x)/5 - 6/5 = (5 x - 6)/5:
0 = (-5)/4 (5 x - 6)/5
Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.
(-5)/5 = (5 (-1))/5 = -1:
0 = (-1 (5 x - 6))/4
Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.
0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:
(-(5 x - 6))/4 = 0
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (-(5 x - 6))/4 = 0 by -4:
(-4 (-(5 x - 6)))/4 = -4×0
Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.
(-4)/4 = (4 (-1))/4 = -1:
--1 (5 x - 6) = -4×0
Hint: | Multiply all instances of -1 in -(-(5 x - 6)).
(-1)^2 = 1:
5 x - 6 = -4×0
Hint: | Any number times zero is zero.
0 (-4) = 0:
5 x - 6 = 0
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
5 x + (6 - 6) = 6
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
5 x = 6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 5 x = 6 by 5:
(5 x)/5 = 6/5
Hint: | Any nonzero number divided by itself is one.
5/5 = 1:
Answer: x = 6/5
A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the width, what are its dimensions?
Answer:
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
Step-by-step explanation:
Let
Width = 17 × width
Length = 8 × length
8l = 17w
l = 17w/8
Perimeter of a rectangular yard = 2(length + width)
400 = 2(17w/8 + w)
400 = 34w/8 + 2w
400 = 17/4w + 2w
400 = 17w+8w/4
400 = 25w/4
Cross product
1600 = 25w
Divide both sides by 25
w = 1600/25
= 64 feet
Recall,
l = 17w/8
= 17*64 / 8
= 1088/8
= 136 feet
Length of the rectangular yard = 136 feet
Width of the rectangular yard = 64 feet
Please help me. I have been struggling with prob and stats.
Answer:
Step-by-step explanation:10
(-1,2), (-1,-5) can you solve this for me
Answer:
Use FOIL I helped with what I could I don't fully understand the problem but I'm pretty sure FOIL needs to be used to solve.
Etta buys some ribbon and cuts it into 5 pieces that are the same length. Each piece is 9 inches long. How long was the ribbon that Etta bought? The ribbon that Etta bought was inches long.
Answer:
The ribbion she bought is 45 inches long
Step-by-step explanation:
Answer:
about 45 inches
Step-by-step explanation:
Etta cut the ribbon into 5 peices that were each 9 inches long. Multiply those number and it should be about 45 inches.
geometry geometry geometry
Answer:
was only able to do #11
Step-by-step explanation:
Answer:
#12
Step-by-step explanation:
What is 0.007826 converted to scientific notation
Answer:
7.826 • 10^-3
Step-by-step explanation:
the decimal is moved 3 places to the right in order for there to be a digit in the ones place
because decimal is moved right, the exponent must be negative
67+k = 83
solve for k
no work needed
Answer:
k = 16
Step-by-step explanation:
Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Subtract 67 from both sides of the equation:
k + 67 = 83
k + 67 (-67) = 83 (-67)
k = 83 - 67
k = 16
16 is your answer for k.
~
-1 7/8 + -6 Help, please.
Shoes cost $60.00. Discount is 20%. Sales price is equal to?
$10
$20
$30
$40
Answer:
it is D ..................
Answer:
$40 is the sales price after a 20% discount.
(*Edited as the shoes are $50.00, not $60.00)
Step-by-step explanation:
When calculating discounts, we can convert the percentage to a decimal and multiply by the original sales price:
[tex]50(.20)[/tex]
Multiply.
[tex]50(.20)=10[/tex]
Subtract your product from the sales price.
[tex]50-10[/tex]
Subtract.
[tex]50-10=40[/tex]
Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).
Answer:
Step-by-step explanation:
f(g(x))
g(x) = 7x -4
f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:45.. good luck:)
Step-by-step explanation:
It’s d .... you do length times width times height
PLZZ GIVE BRAINLIEST I NEED IT FOR MY NEXT RANK
Answer:
45
Step-by-step explanation:
If you just take the length (3)
and the width (5)
and multiply them it'll give you 15
then multiply that by the height(3)
and thats how you get 45!
A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. If necessary, round to two decimal places. Group of answer choices
Answer:
435.73 revolutions per minute
Step-by-step explanation:
Find the circumferance of the wheel.
27 times π which is 84.823 inches
divide that by 12 to get it into feet, 7.061 feet
Divide by 5280 to get that to miles, 0.001 miles
Divide 35 by 60 to get how many miles per minute the car travels, 0.583
Divide your miles per minute by the diameter of wheel
Your answer will be 435.73 Revolutions per Minute
Zack did 1/6 of his homework in 1/2 an hour. How much can he do in one hour
Answer:
1/3
Step-by-step explanation:
Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
To know more about distance formula click on,
brainly.com/question/28956738
#SPJ2
how does slope affect a linear graph??
Answer:
With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.
hope this helps
Step-by-step explanation:
Given f(x) = 5x - 3, find f(-2).
Answer:
-13
Step-by-step explanation:
Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13
Solve equation for y. 6=4x+9y
Let f(x)=-3x and g(x) = 2x-1
Find the following: 4g(x) - f(x)
Answer:
11x-4
Step-by-step explanation:
f(x)=-3x
g(x) = 2x-1
4g(x) - f(x)
4(2x-1) - ( -3x)
Distribute
8x -4 +3x
Combine like terms
11x-4
Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).
Given,
f(x) = -3xg(x) = 2x - 1Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.
[tex]4g(x) - f(x)[/tex]
[tex]4(2x - 1) - ( - 3x)[/tex]
Opening the parentheses,
[tex]8x - 4 + 3x[/tex]
Now combing the like terms, and adding them,
[tex]8x + 3x - 4[/tex]
[tex] \boxed{11x - 4}[/tex]
This is our final result.
#CarryOnLearning
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Pls Help me with ths question
Answer:
Step-by-step explanation:
x=√(5+2√6)/(5-2√6)
x²(x-10)²=1
substitute the value of x in the equation
[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=
solve :
(49+20√6)(49-20√6)=1 multiply
1=1 proved