Answer:
The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.
Step-by-step explanation:
Let,
The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.Now, substuting all the given values in the formula to find the value of x.
[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]
➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]
Hence, the value of x is 20.
Now, we know the value of x. So, calculating the dimensions of cuboid :
Length = 3x
➝ 3 × 20➝ 60 cmBreadth = 2x
➝ 2 × 20➝ 40 cmHeight = x
➝ 1 × 20➝ 20 cm[tex]\rule{300}{2.5}[/tex]
a restaurant bill is $53.15. what is the estimated total cost of the bill with a
15% tip?
not a multi choice you enter a answer !
Answer: the answer is 7.95 because 15% tip on 53.15 is 7.95
You are buying mouthwash at your local store. The price of the mouthwash is $4.39. It is currently on sale for 20% off. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. What is your subtotal?
Answer:5.68 dollars amirikan
Step-by-step explanation:
Given that price of the mouthwash is $4.39. It is currently on sale for 20% discount. You also have a store coupon for $1.00 off and a manufacturer's coupon for $1.25 off. The subtotal you need to pay is $1.262.
What is discount?The term discount refers to the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Discount = Marked price - Selling price
The mouthwash is at sale for 20% off.
Cost price = $4.39
Discount = 20% of $4.39 = $0.878
Total discount = 20% off + store coupon + manufacturer's coupon = $0.878 + $1.000 + $1.250 = $3.128
Selling price = Marked price - Discount = $4.39 - $3.128 = $1.262
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Did I get this right originally? I think I did.
that’s what I thought first, but the things right. each x value IS associated with only one y value. If there was more than one arrow pointing from one x value, it wouldn’t be a function, because it would mean one x value has more than one y value. I hope that made sense!
Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.
Answer:
13 = 81 x - 89
Step-by-step explanation:
Answer:
81x-79
Step-by-step explanation:
I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.
We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.
=(-3x+5)+(7x-7)*12
=(-3x+5)+84x-84
=81x-79
Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)
Which method is best used to solve -2/3c=16
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 : -2/3
c = 16 . 3/-2
c = 8 . 3/-1
c = 8 . -3
c = -24
Answer:
-24
Step-by-step explanation:
-2/3c = 16
c = 16 * 3/-2
c = -8 * 3
c = -24
i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)
Answer:
I have simplified it to −
2 ^ 3 − 3 ^2 +
Step-by-step explanation:
[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]
Step by Step Solution: Use the distributive property to multiply – w by – 2x – 3w + 1.
[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]
Multiply −2 and −1 to get 2.[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]
Multiply −3 and −1 to get 3.[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]
Multiply w and w to get w².[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]
Hope It's Help
Both Alex and Chris left their homes at 7:00 a.m. and walked to school. The graph shows the distances that each boy was from school as they walked.
A graph titled Distance from school has minutes since leaving home on the x-axis, and miles from school on the y-axis. A line labeled Chris goes through points (0, 4) and (15, 3). A line labeled Alex goes through points (0, 2) and (25, 1).
Which statement is best supported by the graph?
Alex lives farther from the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Alex lives closer to the school than Chris lives, and Alex walked to school at a faster rate than Chris walked.
Chris lives farther from the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Chris lives closer to the school than Alex lives, and Chris walked to school at a faster rate than Alex walked.
Answer:
Chris lives farther from school than Alex lives, and Chris walks to school at a faster rate than Alex
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
2.3/2.4 representing slope in proportional relationships
Answer:
Ok
Step-by-step explanation:
Ok
Which of the following represent the same level of precision? Check all that
apply.
A. 90 liters
B. 5.9 liters
C. 13.6 liters
D. 94 liters
Answer:
I got C&B
Reasoning: just did this test, however the answer might be different for anyone else.
5.9liters and 13.6 liters, and 90 liters and 94 liters represents the same level of precision.
What is precision?Precision is a number that shows an amount of the information digits and it expresses the value of the number.
Same level of precision refers to degree of significant figures or how many numbers after the decimals.
According to the given question, we have to find the numbers which represent same level of precision.
From the given options,
5.9 liters and 13.6 liters have the same level of precision because there is only one number after the decimal.
And, 90 and 94 have the same level of precision (no decimal).
Learn more about precision here:
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After solving a series of mathematical problems using a complicated formula, Mark uses the same formula to solve another problem he could have solved using a much simpler formula. Mark's continued reliance on the complicated formula BEST illustrates:
Answer:
C. mental set
Step-by-step explanation:
A mental set generally refers to the brain's tendency to stick with the most familiar solution to a problem and stubbornly ignore alternatives. This tendency is likely driven by previous knowledge (the long-term mental set) or is a temporary by-product of procedural learning (the short-term mental set).
F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?
(A) 5yards
(B) 7yards
(C) 8yards
(D) 10yards
(E) 17yards
Please help with this question and if you can explain because I’m confused. - thank you
y = 32, x = 43
To figure this out, you have to use what you know to find all sorts of measures.
Lets start with the 75 degree angle. We know that the opposite side is a vertical angle, so that is also equal to 75 degrees. Since the angle to the big triangle is a supplementary angle, we know that the sum of 75 degrees and that angle is 180 degrees. Do the math and we get 180 - 75, or 105 degrees. The angles of a triangle always add up to 180, so 105 + 43 + y = 180. Solve for y: [tex]148+y=180=148-148+y=180-148=y=32[/tex]. So y is equal to 32 degrees. Now to find x, we know that the bases of the triangles are parallel, and that there is a line that goes straight from angle y to one of our unknown angles. Because the triangle bases are parallel and the y to unknown line does not change, we can tell that those are the same. So y = unknown angle 1, or 32 = 32. So, we know the measure of one angle. The other unknown angle is vertical to the other angle we found earlier, 105. So, we get 105 + 32 + x = 180. Evaluate: [tex]32+105+x=180=137+x=180=137-137+x=180-137=x=43[/tex]. So x is equal to 43.
I lowered the points because people were stealing them.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Domain ~
[tex] - 6 \leqslant x \leqslant - 1[/tex]Range ~
[tex] - 5 \leqslant x \leqslant - 3[/tex]How many solutions does the equation have? 3(7x + 4 ) - 2x + 8 = 5x + 12
Answer:
One solution
Step-by-step explanation:
Well, let's find out by solving the equation for x and seeing how many possible values there are. Our answer could be no solution, one solution, or infinite solutions. So, let's get started by writing out our equation:
3(7x + 4 ) - 2x + 8 = 5x + 12
First, we'll distribute the 3 onto the values on the left:
3(7x) + 3(4) - 2x + 8 = 5x + 12
21x + 12 - 2x + 8 = 5x + 12
Now, we can combine like terms. They are underlined and boldfaced below:
21x + 12 - 2x + 8 = 5x + 12
21x - 2x + 12 + 8 = 5x + 12
19x + 20 = 5x + 12
Next, let's take away 5x from both sides:
19x - 5x + 20 = 5x - 5x + 12
14x + 20 = 12
Finally, we'll subtract 20 from both sides:
14x + 20 - 20 = 12 - 20
14x = -8
Now, all we have to do is divide both sides by 14.
14x/4 = -8/14
x = -4/7
It looks like there is only one solution for x: -4/7. Hopefully that's helpful!
A line includes the points (8,6) and (6, 10). What is its equation in point-slope form?
Answer:
-2
Step-by-step explanation:
-4/2
or -2
yeah- ya. right?
m-(-584)=866 simplified
Answer:
282 thats what i got
Step-by-step explanation:
Answer:
m = 282
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
m + 584 = 866
Step 2: Subtract 584 from both sides.
m + 584 (−584) = 866 (−584)
m = 282
hi! I need help ! Triangles geometry angles table.
Answer:
145°
Step-by-step explanation:
[Finding the non-label angled in the triangle] 180° - 75° = 105°
Finding 3: (x = angle 3)
[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180
[combine like terms] 145° + x = 180°
[subtracting 145 from both sides] 35° = x
() We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle
Finding 4: (x = angle 4)
180 - 35 = 145°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Danny deposited $500 into a savings account that earns 2% interest annually. How much
money will he have after 25 years?
Answer:
250
Step-by-step explanation:
1 year= 2% of 500 (10)
25 years= 25*10
250
Hope this helps!
What is the Slope of the equation y = x - 2
Question 4 options:
1
-2
2
0
Answer:
1
Step-by-step explanation:
Answer:
The slope for the equations y = x - 2 is answer A - 1
Step-by-step explanation:
Graph attached Below
Hope I helped,
Brainliest is always appreciated.
what decimal is equivalent to 4/100 + 5/10
Answer: 0.54
Step-by-step explanation:
im not sure if your talking about turining the fraction into a decimal but this is how it would look as a decimal.
SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST
(04.01 LC)
The equations y = −3x + 1 and y = 2x − 4 are shown in the graph.
graph of y equals 2 times x minus 4 and y equals negative 3 times x plus 1
Which is the solution to the system of equations? (1 point)
Group of answer choices
(−2, −1)
(−2, 1)
(−1, −2)
(1, −2)
Answer:
(1, −2)
Step-by-step explanation:
−3x + 1 = 2x − 4
−5x + 1 = − 4........subtract 2x from both sides
-5x = -5.................subtract 4 from both sides
x = 1.......................divide both sides by - 5
now that you have x value find y by plugging in the x value in either one of the equations (I'll be using y = -3 +1)
y = -3(1)+1
y = -3+1.............multiply
y = -2................add
PLA HELP PLS PLS PLA
Answer:
y=3x-1
Step-by-step explanation:
I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)
is this correct? if not what is the correct answer?
6 soaps comparing to the other 5 = 30 different comparisons:
30 x 2,000 = 60,000
Answer: H. $60,000
What is the slope of this graph? m=[slope)
100
80
60
Number of cups
40
20
16
20
8 12
Sugar (pounds)
Answer:
Step-by-step explanation:
If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps
6m in the ratio 7:3:5
Step-by-step explanation:
which one of the 3 categories represent the 6m ?
the 7 ? the 3 ? or the 5 ?
I suspect it is the 3 (the middle), because it is the only one working with 6 using only integer numbers.
you really have to be more careful about putting all relevant information here for a question.
so,
in general, we see that a "whole" set of distance types has 7 + 3 + 5 = 15 parts (in our case equally long distance segments).
the length of the first type (whatever it is) is 7 parts of the whole 15 parts. = 7/15
the length of the second type is 3 parts of the whole 15 parts (and we suspect this type to be 6m). = 3/15
and the length of the third type is 5 parts of the whole 15 parts. = 5/15
since we now know (or rather assume) that 6m = 3 parts, we can then calculate that 1 part of the 15 is 6/3=2m.
aha !
so then 7 parts are 2×7 = 14m.
and 5 parts are 2×5 = 10m
I guess that's what you needed to find, right ?
just to practice : what would it be, if 6m stands for the 7 ?
we still have the 15 parts of the whole.
but now 7 parts stand for 6m.
1 part is then 6/7m.
3 parts would then be 3×6/7 = 18/7m
5 parts would be 5×6/7 = 30/7m
you see now, why I think the 6m were meant for the 3 part category ?
I'll mark u as brainliest pls help with these 2 questions
Answer:
3, 10
Step-by-step explanation:
1.
5x-1=14 ->
5x=15 ->
x=3.
2.
15+3x=45 ->
3x=45-15=30 ->
3x=30 ->
x=10.
Hope that help! :)
Answer:
1.) x=3
2.)x=10
Step-by-step explanation:
for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14
for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.
Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm
angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship
Answer:
it's angle not angel.
Step-by-step explanation:
the perimeter of a school volleyball courts 177 feet and the length is twice the breath what are the denominations of the volleyball court
Answer: L = 59 feet, W = 29.5 feet
Step-by-step explanation:
Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court. We'll assume it is rectangular.
We know that the P of the rectangle is 2L+2W:
P = 2L+2W
We also are told that:
L = 2W
We can use this definition of L in the forst equation:
P = 2L+2W
P = 2*(2W)+2W
P = 6W
P = 177 feet
Therefore 177 ft = 6W, and
W = 29.5 feet
The total for the length is 177 - 2W, or (177 - 59) ft
2L = (177 - 59)
2L = 118
L = 59 feet