Given:
Length of a carton = [tex]2\dfrac{2}{3}[/tex] feet
Width of a carton = [tex]1\dfrac{1}{8}[/tex] feet
Height of a carton = [tex]1\dfrac{1}{5}[/tex] feet
To find:
The volume of the carton.
Solution:
We know that, volume of the carton is
[tex]V=length\times width \times height[/tex]
Putting the values, we get
[tex]V=2\dfrac{2}{3}\times 1\dfrac{1}{8} \times 1\dfrac{1}{5}[/tex]
[tex]V=\dfrac{(2\times 3)+2}{3}\times \dfrac{(1\times 8)+1}{8} \times \dfrac{(1\times 5)+1}{5}[/tex]
[tex]V=\dfrac{8}{3}\times \dfrac{9}{8} \times \dfrac{6}{5}[/tex]
Taking LCM, we get
[tex]V=\dfrac{18}{5}[/tex]
[tex]V=3\dfrac{3}{5}[/tex]
So, the volume is [tex]3\dfrac{3}{5}[/tex] cubic feet.
Therefore, the correct option is A.
SOLVE FOR X WILL GIVE BRAINLEST
Answer:
The first one is -3
The second one is 2
Step-by-step explanation:
what is the slope of the line?
Answer:
[tex]m=\frac{-7}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 4)
Point (1, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3-4}{1+3}[/tex]Subtract/Add: [tex]m=\frac{-7}{4}[/tex]Answer: -7/4 is the slope
Step-by-step explanation: find 2 points on the line and the go up seven and over four
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Answer:
5 : 3
Step-by-step explanation:
Answer:
$5
Hope this helps!
integer c is 2/3 of the way from A on the integer line. Determine C
A=-23
B=-5
Answer:
Please see picture below
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO FASTEST AND BEST ANSWER PLS HELp
Answer:
Unknown
Step-by-step explanation:
dskljgjfhgdiagljhbajfhglvibliahgviyglvaj
Answer:
The tax was too much for me
Step-by-step explanation:
Sorry, Im a noob
dsx
sds
xdscxzxas
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zszx
Help, please!
Which ordered pairs are solutions of 10x - 6y > -36 ? Select all that apply.
A. (-6, 3)
B. (0, 0)
C. (4, 2)
D. (-2, 6)
E. (6, -2)
Answer:
A,c,and d
Step-by-step explanation:
brainest plz
Which expression is equivalent to–4–9?
4 - 9
-4+ (-9)
-4 +9
4+9
Answer:
b
B -4+(-9
Step-by-step explanation:
because plus a negative number is just like subtracting i belive
Please help me!!
A. 2 and 4 only
B. all of them
C. 1 only
D. 2, 3, 4, only
Answer:
D
Step-by-step explanation:
Supplementary means 180 degree. Thus, you have to find the two angle that equals 180.
Answer:
I think it is 1 only [B.]
Step-by-step explanation:
I'm not sure, but I hope this helps!
Question 1 (2 points)
Jeff is purchasing a car for $29,175 that will depreciate in value 7.5% each year.
Write a function to model the value P of the carafter t years,
If he decides to sell the car after 6 years, what will be the value of his car? Express your answer as a decimal rounded to the nearest hundredth.
Answer:
p= 18,275
Step-by-step explanation:
The function would be p=29,175(-0.925)^t. You would then substitute t for 6 and solve from there to get p=18,275.
Did it help at all?
what is the linear equation of a line that goes through (-8,4) and (6,-3)
Answer:
D
Step-by-step explanation:
Let's first find the slope.
y2-y1/x2-x1
-3-4/6--8
-7/14
-1/2
So it is D
PLEASE HELP ME ANSWER THIS QUESTION.
Answer:
5) yes, it's proportional
6) x = 5 (equivalent fraction)
7) x = 21 (equivalent fraction )
8) yes, it's proportional
Please help
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 49 g to 56 g
Work Shown:
(49 g)/(56 g)
49/56
(7*7)/(7*8)
7/8
what is the slope an y-intercept of the graph
Answer:
D)
Step-by-step explanation:
the slope is 4 and intercept is 2
Answer:
2/1
Step-by-step explanation:
It goes over to the right one, and up two.
(If it went to the left it would be negative)
Hope this helps!
-AxekickNebulite
a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the area of the window as a function of the width (across the base) of the window.
The area of the window is [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]
The shape of the Norman window is described as a rectangle surmounted by a semicircle.
Let 'x' be the width of the window.
Then this width corresponds to the diameter of the semicircle.
That is, radius of the semicircle = x/2
Now given the perimeter of the whole window = 25 ft
This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.
Perimeter of the semicircle = [tex]\frac{2\pi r}{2} = \frac{\pi x}{2}[/tex] , where r is the radius of the semicircle.
Now let 'y' be the length of the window.
Then sum of three sides of the window = 2y + x
So 2y + x + [tex]\frac{\pi x}{2}[/tex] = 25
Therefore, [tex]y =( 25 - x - \frac{\pi x}{2} ) / 2[/tex]
Area of the window = Area of the semicircle + Area of the rectangle =
[tex]\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2[/tex]
So Area of the window = [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]
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There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of
fruit in the bowl are apples?
A. 0.06%
B. 40%
C. 6%
D. 0.4%
Answer:
40%.
Step-by-step explanation:
There are 6 / 15 apples out of the bowl.
6/15 = 2/5 = 0.4
So, 40% of the fruit in the bowl are apples.
Hope this helps!
I need the answer for my homework
Answer:
45 for 5 and 34 for 6.
Step-by-step explanation:
You are just subtracting by 11.
find the slope of the line in the given picture, please help soon
Answer:
Step-by-step explanation:
the answer is 48
Emily is buying cold-weather gear for her family. she pays $100 for 5 pairs of waterproof gloves that each cost the same amount. four of the pairs of gloves are mittens.which expression represents the total cost of four pairs of mittens
Answer:
the 4 pairs cost 80$
Step-by-step explanation:
Ps. My name is Emily
Answer:
yeetjdjsjsjdjdjjssjsbjsjshssujsidsjsnjsnsnsjdudbejdhdd
Please help I’ll give brainlyst if u are right
Answer:
Each of the domain values, x, should only output a single unique range value, y.
This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.
-1 outputs a 3
and
-1 outputs a 5
If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation
Letter b is the right answer {(1, 2), (2, 6), (3, -2), (4, -6), because the first ordered pairs are not repeated.
a
c
Step-by-step explanation:
Question 3
True or false. A discount will add to the total cost you
will pay for an item.
Answer:
False
Step-by-step explanation:
Write each sentence as an equation. Eight less than 1/3 a number is n -13.
Answer:
Step-by-step explanation: Given that eight less than one-third of a number n is -13.
We are to find the value of n.
According to the given information, the equation for n can be written and solved as follows :
Thus, the required value of n is -15. I hope this really helps you(:
Answer:
[tex]\bold{\frac{n}{3} - 8 = - 13}[/tex]
and the solution is
[tex]\bold{n = -15}[/tex]
Step-by-step explanation:
I believe this sentence is mistyped
It should be Eight less than 1/3 a number n is -13
Analyze the word problem piece by piece not necessarily from the beginning of the sentence
The number is given as n in the sentence part boldfaced belowIf you wanted to solve this equation for n here's how to proceed
Add 8 to both sides to isolate the n termMatthew and Andrew leave an intersection at
the same time. Matthew travels due east
at 30 mph and Andrew travels due south at
40 mph. If nothing causes either to stop for
any reason how far apart are they after
1 hour?
The line that passes through (2, 4) and (0, 8) can be expressed by which of the following
Answer:
The first one and the second one
Step-by-step explanation:
I hope that this helped
should i come out to my parents as bi O,o
Answer:
i did and it was the best thing ive ever done
Step-by-step explanation:
Answer:
yes, it feels so much better
Step-by-step explanation:
can someone help me with my geometry test please... on my page. Would love you forever lol
Geometry is so hard pls help
The correct answer is option A
Here's a graph of a linear function.
Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
y = 1/2x + 3Step-by-step explanation:
As per graph, using the points (-6, 0) and (0, 3) we determine that:
the y-intercept is 3 and the slope is m = (3-0)/(0 - (-6)) = /3/6 = 1/2So the equation is:
y = mx + by = 1/2x + 3A box is supposed to have 150 folders in it. Clare counts only 147 folders in
the box. What is the percent error? *
Answer:
it's a 0.02% error.
147/150= 0.98% of the folders are there, making the error 0.02%
Step-by-step explanation:
A system of two linear equations with two variables is
shown below.
2x + y = 7
3x - 4y = 5
Which answer is the solution to the system of linear
equations?
Answer:
:/
Step-by-step explanation:
Answer:
x = 3, y = 1
Step-by-step explanation:
Given the 2 equations
2x + y = 7 → (1)
3x - 4y = 5 → (2)
Multiplying (1) by 4 and adding to (2) will eliminate the y- term
8x + 4y = 28 → (3)
Add (2) and (3) term by term to eliminate y
11x = 33 ( divide both sides by 11 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
2(3) + y = 7
6 + y = 7 ( subtract 6 from both sides )
y = 1
solution is x = 3 and y = 1
Please help! Will mark Brainliest.
Combine and Simplify: 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3
Answer:
Okay Somebody Needs To Get The Guy Below OFF OF HERE
Step-by-step explanation:
The equivalent of (-8)-4.(-8)2
The equivalent value of the expression (-8)-4.(-8)² is 768
what is expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given:
(-8)-4.(-8)²
Using properties of integers
(-8-4)*(-8* -8)
=(-12) * (-64)
= 768
Hence, the equivalent value is 768.
Learn more about expression here:
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