Answer:
yes they both form a proportion
Luke has a crate with a volume of 2160 cubic inches. The crate is 12 inches long and 18 inches high. Luke wants to put wooden boards into the crate. Each board is the same size as the board shown in the diagram.
18 blocks would fit in the Crate.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
Volume of Crate= 2160 cubic inch
Now, Volume of each wooden board
= l b h
= 12 x 5 x 2
= 120
so, number of blocks = 2160/ 120
= 18
Hence, 18 blocks would fit in the Crate.
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Luke can fit 18 wooden boards, each measuring 12 inches in length, 5 inches in width, and 2 inches in height, into the crate with dimensions 12 inches in length, 10 inches in width, and 18 inches in height.
Given that the crate has a volume of 2160 cubic inches and the dimensions are 12 inches in length, 18 inches in height, and an unspecified width.
Each wooden board has dimensions of 12 inches in length, 5 inches in width, and 2 inches in height, we can calculate how many wooden boards Luke can fit into the crate.
Let's denote the width of the crate as "w".
The volume of the crate is given by the formula: Volume = Length × Width × Height
So, 2160 = 12 × w × 18
Solving for "w":
w = 2160 / (12 × 18)
w = 10
Now that we know the width of the crate is 10 inches, we can calculate how many wooden boards can fit in the crate by comparing their dimensions.
Each wooden board has a volume of 12 × 5 × 2 = 120 cubic inches.
The total number of wooden boards that can fit in the crate:
Number of boards = Crate Volume / Board Volume
Number of boards = 2160 / 120
Number of boards = 18
Therefore, 8 blocks would fit in the Crate.
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An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?
Plz show work and i will be so grateful
Answer:
35 hours during week pay: 498.75
2.50 more on weekends
Lets us find unit rate
498.75/35= 14.25
14.25 dollars on weekday add 2.50 and...
16.75 dollars is pay per hour on weekends
16.75*6= 100.5
100.5+498.75=
599.25 dollars
Step-by-step explanation:
Answer:
512.75$
Step-by-step explanation:
2.50 x 6 = 15.00$
So, add 15 to 498.75 by using standard algorithm.
Your result should be 512.75$
Therefore, your answer would be 512.75$
-kiniwih426
What is the slope of the line represented by the points in the table shown below?
x
-4
-1
5
9
y
17
8
-10
-22
m=⅓
m=-3
m=3
m=-⅓
Answer: Slope of the line formed by the data is -3.
m=-3 for y=mx+b.
Step-by-step explanation: The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line. I'll pick 2 points: (-4,17) and (9,-22). Any two points will work, if it is a straight line. For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y. x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.
The rise(y) over the run(x) for these points is thus (-39/13) = -3
The slope is -3
dani takes her two friends out for lunch. dani's meal costs $5. 72 and her friends' meal are $4. 89 and $7. 30. dani pays for the meals with a $20 dollar bill. how much change should she get?
Your answer is : $2.09
To find this answer you first need to find out how much money Dani spend.The equation for this is (5.72+4.89+7.30=17.91).The last step is to subtract the amount Dani spent by the amount she paid so new equation is (20.00-17.91=2.09)The answer is $2.09
Find the value of each expression. Then write an expression that has the same value, using addition 7 – (-3) 7 – 3 59 – (-1) -17 – (-6) of related numbers.
Answer:
7-(-3)=10
7-3=4
59-(-1)=60
-17-(-6)=(-11)
Step-by-step explanation:
In the photo !
The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on vegetables. The function c(x) = x + 9. Solve for how much money must be spent when the crew is going to work 2 shifts.
Answer:
[tex]t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15[/tex]
The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced? STEP BY STEP
Answer:
The price was reduced by 25%
Step-by-step explanation:
Not sure how to go step by step on this, because it's kinda obvious once you think about it a bit. You need to find what percent of 40 that 10 equals (if that makes sense). So really it's just what percent of 40 equals 10? and since 10 is one fourth of forty, 1/4, then you convert that to percent: 25% (sorry if this made no sense, i'm not very good at explaining things)
guys pls help me!!!!!!!
Answer:
40
Step-by-step explanation:
alternate interior
Answer:
its 40 degrees
Step-by-step explanation:
its said by the top person :)
Can someone help me please ?
Answer:
12 and (-12)
Step-by-step explanation:
Solve for x.
x^2= 144
square root both sides and get,
x= 12
and
x= (-12)
remember to put your negative and 12 into parenthesis because you are multiplying the negative as well.
Answer:
x = 12
x = -12
Step-by-step explanation:
Step 1: Take the square root of both sides.
[tex]\sqrt{x^2} =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x = 12[/tex] or [tex]x = -12[/tex]Therefore, x = 12 and x = -12 are the answers.
Please help, I need answers!
Q1
Solve for x.
7(x + 5) - 6x = 55
50
20
60
90
Q2
c−1.5+6.8=0.6
Answer in a decimal please
Answer:
[tex]Q.1)\:x=20[/tex]
[tex]Q.2)c=-4.7[/tex]
Step-by-step explanation:
[tex]Q1)[/tex] [tex]7\left(x+5\right)-6x=55[/tex]
Use the distributive property to multiply 7 by x+5 :
[tex]x+35=55[/tex]
Subtract 35 from both sides:
[tex]x+35-35=55-35[/tex]
[tex]x=20[/tex]
___________________________
[tex]Q2)[/tex] [tex]c-1.5+6.8=0.6[/tex]
[tex]-1.5+6.8=5.3[/tex]
[tex]c+5.3=0.6[/tex]
Subtract 5.3 from both sides:
[tex]c+5.3-5.3=0.6-5.3[/tex]
[tex]c=-4.7[/tex]
____________________________
Using Substitution solve: y=x+5
4x+y=20
Answer:
3
Step-by-step explanation:
So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3
What is the area of the following circle?
Either enter an exact answer in terms of π 3.14 π and enter your answer as a decimal.
3265÷37=?3265, divided by, 37,Write your answer as a whole number and remainder.
Answer:
the answer in decimal is
88.243
Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much did she pay for the crackers?
Answer:
$10.36
Step-by-step explanation:
4•2.59=10.36
HELP DUE IN 10 MINUTES!!!!!
Two step equations word problems
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
1. Write an equation to determine the total number of questions (q) on Tim's math test.
2. Find the total number of questions on his math test.
Let the number of accurate answers provided by Tom equal x.
The number of incorrect responses is ten.
Tim receives 4 marks for each right answer.
Marks deducted for wrong answers = 0.
Total Points = 76
When all of the above statements are combined, the equation
76 = 4 x + 10 * 0
4 x = Equals 76.
19 = x
The number of correct answers is 19
The number of incorrect responses equals ten.
Total number of questions = 19 + 10 = 29
1. Tính:
a) 2x*(2x^2-3x+5)+6x^2
b) (2+x)*(2-x)-4
c) (x+5)^2-10x
2. Tìm x, biết:
a) 3*(x^2-2x+1)=3x^2+3
b) (3-x)^2-(x-1)*(2+x)=0
Answer:
1.b (2+x)*(2-x)-4
2.a 3*(x^2-2x+1)=3x^2+3
Which of the following are solutions to the equation y= - 1/2 x + 3 . —->
Answer:2,2
Step-by-step explanation:
Which fraction is close to zero?
a. 5/12 b. 8/12 c. 2/12 d. 4/6
Answer:
2/12
Step-by-step explanation:
Answer:
C) 2/12
Step-by-step explanation:
You need to convert the fractions to decimals (by dividing the top number by the bottom number).
5/12 = 0.416...
8/12 = 0.666...
2/12 = 0.166...
4/6 = 0.666...
As you can see, 2/12 in decimal form is closer to 0 than the other fractions.
Cries In didn’t pay attention in class in my lower grades
Multiply and express in the form of a complex number a + b i.
(-5 + 3i)(- 4 + 8i)
Answer:
-4 - 52 i
Step-by-step explanation:
Hope this helps :)
Which of the following number lines depicts the solution to 4(x+1) > 16 + 7x?
9514 1404 393
Answer:
b) x < -4
Step-by-step explanation:
Eliminate parentheses and you have ...
4x +4 > 16 +7x
-12 > 3x . . . . . . . . subtract 4x+16
-4 > x . . . . . . . . divide by 3
The number line will have an open circle at -4 and be shaded to the left. The pictures are a bit fuzzy, but we think choice B has that description.
please someone help
100 points
Answer:
where is the question on which topic
The question is in the pic! Please help :)
The answer is D.
If you go to point E and count back 4 units, you will land on point B.
Hope this helps! :)
A baseball has a momentum of 70 kg*m/s south and a mass of 0.2 kg. What is the
ball's velocity?
Answer : Diluc + Klee = Dlee
if 3x - 6 = 15 than what is x
Answer:
3x-6=15
3x=15+6
3x=21
x=21/3
x=7
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
x = 7
Step-by-step explanation:
Step 1: Add 6 to both sides.
[tex]3x - 6 + 6 = 15 + 6[/tex] [tex]3x = 21[/tex]Step 2: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{21}{3}[/tex] [tex]x = 7[/tex]Step 3: Plug in the value to see if it's correct.
[tex]3(7) - 6 = 15[/tex] [tex]21 - 6 = 15[/tex] [tex]15 = 15[/tex]Therefore, x = 7.
Does anyone know this answer????
Please and thank you
Answer:
cat is 6 pumpkin is 12 pot is 14 so 6+14-12=8
Step-by-step explanation:
A sprinter travels a distance of 100 m in a time of 8.96 seconds.
What is the sprinter's average speed rounded to 4 sf
The average speed is 40.176 Km/h.
What is Average speed?The average speed is the total distance traveled by the object in a particular time interval.
Given:
distance = 100m
time= 8.96 seconds
So,
average speed = distance/time taken
= 100/8.96
= 11.16 m/s
and in Km/h
= 11.16* 18/5
= 40.176 Km/h
Hence, the average speed is 40.176 Km/h.
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Use the figure to find the measures of the numbered angle.
Answer:
angle 1 = 61°
angle 2 = 119°
angle 3 = 61°
angle 4 = 119°
angle 5 = 119°
angle 6 = 61°
angle 7 = 119°
Step-by-step explanation:
angle 1 = 61° (corresponding angles are always equal)
angle 1 + angle 2 = 180° (linear pair)
=> 61° + angle 2 = 180°
=> angle 2 = 180° - 61° = 119°
angle 2 = 119
angle 1 = angle 3 = 61° (vertically opposite angles are equal)
angle 2 = angle 4 = 119° (vertically opposite angle are equal)
angle 4 = angle 5 = 119° (interior opposite angles are equal)
angle 6 = 61° (vertically opposite angles are equal)
angle 5 = angle 7 = 119° (vertically opposite angles are equal)
Hope it helps :)
Classify the system of equations and identify the number of solutions.
4x + 2y = −8
6x + 3y = 9
inconsistent; none
consistent, dependent; one
inconsistent; one
consistent, dependent; infinite
HELP ASAP PLS
Answer:
inconsistent, none
Step-by-step explanation:
Write both equations in slope-intercept form to see if the lines are parallel.
These two lines have slope m = −2 and different y-intercepts, therefore they are parallel.
Since the lines are parallel, the system is inconsistent and there are no solutions.
The system of equations 4x + 2y = −8 6x + 3y = 9 is inconsistent and has no solutions.
What is system of Equations?A system of equations is a collection of two or more equations with a same set of unknowns.
We need to write both equations in slope-intercept form to see if the lines are parallel.
4x+2y=-8
2y=-8-4x
y=-4-2x,
y=-2x-4, m₁=-2
and 6x+3y=9
3y=9-6x
y=-2x+3, m₂=-2.
So two lines have slope m = −2 and different y-intercepts,
It means two line are parallel.
Since the lines are parallel, the system is inconsistent and there are no solutions.
Hence 4x + 2y = −8 , 6x + 3y = 9 is inconsistent and has no solution.
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write the equation of the graph in slope intercept form
(3,-3) (-3,-5)
m= -4
Answer:
y = -4x + 9
Step-by-step explanation:
Slope intercept form is:
y = mx + b
If m = -4
y = -4x + b
Plug the values of the first set of coordinates into this:
y = -4x + b
-3 = -4(3) + b
-3 = -12 + b
Add 12 to both sides of the equation to isolate b:
-3 + 12 = -12 + b + 12
9 = b
So that makes the slope intercept form:
y = -4x + 9
Hope this helps!