Answer:
there are 7 boxes in the stack.
Step-by-step explanation:
After a quick online search, I've found that the dimensions of each box are:
Height = H = 18cm
Length = L = 40cm
Width = W = 21cm
If we stack the boxes, then the only thing that changes in the figure is the height, so if we stack N boxes, the dimensions will be:
Height = H = N*18cm
Length = L = 40cm
Width = W = 21cm
And for a rectangular prism of height H, width W, and length L, the surface is:
S = 2*(H*W + W*L + H*L)
Then for our stack of boxes, the surface is:
S = 2*(40cm*21cm + 40cm*N*18cm + 21cm*N*18cm)
And we know that the total surface is 17,052 cm^2
Then we just need to solve:
2*(40cm*21cm + 40cm*N*18cm + 21cm*N*18cm) = 17,052 cm^2
(40cm*21cm + 40cm*N*18cm + 21cm*N*18cm) = (17,052 cm^2)/2
(40cm*21cm + 40cm*N*18cm + 21cm*N*18cm) = 8,526 cm^2
840 cm^2 + N*720 cm^2 + N*378 cm^2 = 8,526 cm^2
N*(720 cm^2 + 378 cm^2) = 8,526 cm^2 - 840 cm^2 = 7,686 cm^2
N*(1,098 cm^2) = 7,686 cm^2
N = (7,686 cm^2)/(1,098 cm^2) = 7
So there are 7 boxes in the stack.
r/3 - 9 ≥ - 2
pls show steps and answer
i’ll mark brainlyest
Answer:
r ≥ 20
Step-by-step explanation:
r/3 - 9 ≥ - 2
r/3 ≥ 7
Multiply both sides by 3
r ≥ 21
Answer: Good deal
Step-by-step explanation:
r/3-9≥2
r ≥ 20
r/3 - 9 ≥ - 2
r/3 ≥ 7
3 r ≥ 20
Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table.
Given:
Dimensions of the rectangular table are 40 inches by 25 inches.
To find:
The length of the diagonal of the table.
Solution:
Diagonal of a rectangle is:
[tex]d=\sqrt{l^2+w^2}[/tex]
Where, l is the length and w is the width of the rectangle.
Putting [tex]l=40,w=25[/tex] in the above formula, we get
[tex]d=\sqrt{(40)^2+(25)^2}[/tex]
[tex]d=\sqrt{1600+625}[/tex]
[tex]d=\sqrt{2225}[/tex]
[tex]d\approx 47.17[/tex]
Therefore, the length of the diagonal is about 47.17 inches.
9
A shop sells pens and notebooks.
The cost of a pen is p cents and the cost of a notebook is n cents.
(a) On Monday, the shop sells 5 pens and 4 notebooks for 450 cents.
Complete the equation.
5p + 4n =
(b) On Tuesday, the shop sells 10 pens and 3 notebooks for 525 cents.
Write this information as an equation.
(c) Solve your two equations to find the cost of a pen and the cost of a notebook.
You must show all your working.
Answer: n = 75; p = 30
Explanation: (a) 5p + 4n = 450 where p is for pen and n is for notebook.
(b) 10p + 3n = 525
We can use the elimination method to solve these two equations.
1. Multiply the first equation by 2 so that 10p will cancel out:
2(5p + 4n = 450)
- 10p + 3p = 525
10p + 8n = 900
- 10 p + 3n = 525
5n = 375
2. Divide by 5 to get n alone: n = 75
3. Plug 75 into the first equation: 5p + 4(75) = 450
5p + 300 = 450
4. Subtract 300 from 450: 5p = 150
5. Divide by 5 to get p alone: p = 30
We can test if this is correct by plugging our answers into the second equation:
10(30) + 3(75) = 525
300 + 225 = 525
525 = 525
This is a true statement, which means that our answers are correct.
A survey was done to determine the amount of electricity used by residents in a local community. The survey data was compiled into the histogram below. Identify the approximate number of participants in the survey.
a) 150
b) 200
c) 350
d) 450
Given:
The histogram of a survey that represents the amount of electricity used by residents in a local community.
To find:
The approximate number of participants in the survey.
Solution:
Using the given histogram, we get the frequency table:
Electricity usage Frequency
50 23
150 34
250 25
350 26
450 42
Sum of frequencies is:
[tex]23+34+25+26+42=150[/tex]
It means the total number of participants in the survey is 150.
Therefore, the correct option is (a).
Andrew recorded the number of points his football team scored in each of the ten games of the season. The points are listed below. Which box plot correctly represents this data?
Answer:
the second one
Step-by-step explanation:
hai-
Dr. Campbell put 3.456 ounces of pills into bottles. She put 0.036 ounce of pills into each bottle. How many bottles did Dr. Campbell use for the pills?
Answer:
c) 96
Step-by-step explanation:
3.456÷ 0.036
the answer is 96
Answer:
C. 96
Step-by-step explanation:
3.456÷0.036
=96 bottles
The difference of twice a number and 10 is less than 22
2(n-10)≤ 28 or n ≤ 24
Answer:
2x-10≤22
Step-by-step explanation:
2x≤22+10=32
x≤16
Representa en los mismos ejes de coordenadas, con colores distintos, las rectas r: y = 2x y s: y = 2x + 1.
Answer:
La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.
Step-by-step explanation:
Dado que las rectas [tex]r[/tex] y [tex]s[/tex] son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:
Recta r
[tex]A(x,y) = (0, 0)[/tex], [tex]B(x,y) = (1, 2)[/tex]
Recta s
[tex]C(x,y) = (0, 1)[/tex], [tex]D(x,y) = (1, 3)[/tex]
A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:
7 1/2 divided by 3/4 equals?
Answer:
The answer is 9 3/5
I hope this helps :)
Write an expression to represent the following:
in which quadrant will the point lie if ordinate is 3 and abscissa is -7
send a image of solution
Answer:
2nd Quadrant
Step-by-step explanation:
ordinate = y cordinate
abcissa = x cordiante
(-7,3)
( -,+) lies in second quadrant)
Hope u understand
Please mark as brainliest
Thank You
i hope u can help meeeee!!!
Answer:
1)4,5,8
2)3,6,7
3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7
-3(12 - m) = -1(m - 8)
Answer:
m = 7
Step-by-step explanation:
- 3(12 - m) = - 1(m - 8)
- 36 - (- 3m) = - m - 8
- 36 + 3m = - m - 8
- 36 + 3m + m = - m + m - 8
- 36 + 4m = - 8
- 36 + 36 + 4m = - 8 + 36
4m = 28
4m ÷ 4 = 28 ÷ 4
m = 7
A basketball id stored inside a cylindrical container as shown. The height of the cylinder is 8 inches and its radius is 4 inches. The radius of the basketball is 4 inches. What is the total volume in cubic inches of the space inside the cylinder that is unoccupied
Answer:
[tex]134.041\ \text{in}^3[/tex]
Step-by-step explanation:
r = Radius of sphere = Radius of basketball = 4 inches
h = Height of cylinder = 8 inches
Volume of unoccupied space will be the difference in volume between the cylinder and the basketball
[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]
Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].
hii i’ll give brainliest please help thanks :)
Answer:
3,6,9
Step-by-step explanation:
123 456 789
Answer:
85
Step-by-step explanation:
hi plz mark brainlist
Can anyone help a fellow out ?
Surface area of rectangular prism
PLEASE HELP ME FAST WILL GIVE POINTS AND BRAINLIEST
Answer:
x = 289 degrees
Step-by-step explanation:
The sum of angle measures in a hexagon is 720 degrees. One can apply this information here, by forming an equation. Add up all of the angle measures, including parameter (x), simplify and use inverse operations to solve for the numerical value of the parameter (x).
100 + 102 + 108 + 121 + x = 720
Simplify,
431 + x = 720
Inverse operations,
431 + x = 720
-431 -431
x = 289
Please help, sorry the image is blurry I retook it multiple times.
Answer:
i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong
Step-by-step explanation:
Which statements about the system are true?
Select TWO options.
y = 1/3x - 4
Зу - х = -7
A. The system has one solution.
B. The system consists of parallel lines.
C. Both lines have the same slope.
D. Both lines have the same y-intercept.
E. The equations represent the same line.
2 Answers:
B) The lines are parallelC) The lines have the same slope.Parallel lines always have equal slope, but different y intercepts.
==========================================================
Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
A garden hose is 15 yards long. What is the length of the hose in inches?
Answer:
540 inches
Step-by-step explanation:
1 yard equals 36 inches. Thus, a 15-yard hose has the measurement in inches of (36)(15) = 540
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle PQR = (2x+6)^{\circ}m∠PQR=(2x+6) ∘ , \text{m}\angle RPQ = (x-7)^{\circ}m∠RPQ=(x−7) ∘ , and \text{m}\angle QRS = (5x-17)^{\circ}m∠QRS=(5x−17) ∘ . What is the value of x?x?
The value of x according to the given information is 8
Sum of interior angleThe sum of interior angle of a triangle is equal to the exterior
Given the following
interior angles = PQR=(2x+6) and ∠RPQ=(x−7)
exterior = m∠QRS=(5x−17)
According to the theorem
5x -17 = 2x+6+ x - 7
5x - 17 = 3x - 1
5x-3x = -1 + 17
2x = 16
x =8
Hence the value of x according to the given information is 8
Learn more on exterior angle theorem here; https://brainly.com/question/11900288
#SPJ1
Patrick wants to prepare a salad. He needs 3 cups of cooked macaroni, 3 cups of sliced oranges, 2 cups of sliced apple, 1 cup of chopped celery and 2 cups of mayonnaise. What is the total amount of ingredients?
Answer:
11 cups
Step-by-step explanation:
Answer:
11 cups
Step-by-step explanation:
3 + 3 + 2 + 1 + 2 = x
6 + 3 + 2 = x
6 + 5 = 11
11 cups
or you can just solve directly.
--Applepi101
Can y’all help me with this?
9514 1404 393
Answer:
A. 5 1/3
Step-by-step explanation:
The distance Amy ran on Tuesday was 2/3 mile. 8 times that distance is ...
8(2/3 mi) = 16/3 mi = 5 1/3 mi
resuelve la siguiente ecuación trigonométrica 2Sena-√3=0
0.2x + 0.3 = 0.1x + 0.5
Answer:
x = 2
Step-by-step explanation:
0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )
0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )
0.1x = 0.2 ( divide both sides by 0.1 )
x = 2
2) Sandy empties 21 cookies into a jar. Twelve were vanilla-flavored and 9 were
chocolate-flavored. What fraction of cookies were vanilla- flavored?
Answer:
4/7
Step-by-step explanation:
12 vanilla / 21 total
12/21 = 4/7 (divide both sides by 3)
Answer:
3/7
Step-by-step explanation:
9 / 21 = 3/ 7
Answer: The units digit is
Answer: [tex]2^{8065}[/tex]
A class of 22 students split equally a 10 pound bag of candy.
How much did each student get?
(Simplify the answer.)
Each student reserved 2.2 pounds each
Step-by-step explanation:
I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy
Hiro picks up 4 digits cards. He say he can make multiple of 10 from the cards. What is the numbers
Answer:
9 , 4 , 1 , 2
Step-by-step explanation:
Given that Hiro picked up 4 digit cards and the cards will make Multiple of 10
The numbers on the digit cards that will most likely make Multiple of 10 are :
9 , 4 , 1 , 2