Given -
A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.i.e, length = 2cm, breadth = 4cm and height = 6cm
Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.i.e, side = 2cm
To find -
the number of cubes that can be fit into the rectangular box.Concept -
To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,
Volume of Rectangular Box = l × b × h
Volume cube = a³
where,
l = length b = breadthh = heighta = sideSolution -
[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]
[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]
[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]
Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.
a. What is 50% of R1,00?
Answer:
1000÷50%=2000
Step-by-step explanation:
hope it helps
The required simplified value of R is 2000, as of the given percentage.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the required value be R,
50% of R = 100
R = 100 / 50%
R = 100 / 0.50
R = 2000
Thus, the required value of R is given as 2000.
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I need Help Please, I will give brainliest!
Answer: You do I-ready welp I can help you
Step-by-step explanation:
I think it is 1 whole
Frank, Steven, and Daniel share 4 pizzas equally. How much pizza will they each get?? please explain in division expression and fraction work if you want and the sentence PLSPLSPLSPLSPLSPLSPLSPLSPLSPSLSLS
Answer: They both will get 2 pizzas
Step-by-step explanation: 4 divided by 2
factor each completely
m^2 + m - 90
Answer:
(m - 9) (m + 10)
Step-by-step explanation:
m² - 9m + 10m - 90
(m² - 9m) + (10m - 90)
m(m - 9) + 10 (m - 9)
Final answer;
(m - 9) (m + 10)
The perimeter of a rhombus is 84 inches. one
diagonal is 12 inches. find the area of the
rhombus. round your answer to the nearest
hundredth if necessary.
Answer: 241.5 square inches
Step-by-step explanation:
Which expression is equivalent to 23−14x+12x−16?
The Answer is
7 - 2x
Step-by-step explanation:
23 -14x + 12x - 16
(23 - 16) + (-14x + 12x)
= 7 - 2x
hope this help a'lot
The expression equivalent to 23−14x+12x−16 is 7 - 2x
How to find equivalent expressions?Here we simply take our expression to simplify it.
We start with:
23−14x+12x−16
First, we combine all the terms having x and combine other constant values.
(23 - 16) + (-14x + 12x)
Now we solve the two parts of the above expression we will get,
7 + (- 2x)
Simplifying we get,
7 - 2x
Therefore the equivalent expression is 7 - 2x
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dialations he said she said answer key
Answer: What?
Step-by-step explanation:
South america and africa are drifting apart at a rate of 3.5 cm each year. how far apart will they be in 5,000,000 years
Answer:
17,500,000 cm.
Step-by-step explanation:
3.5cm(5,000,000 years) = 17,500,000
The lengths of two sides of a triangle are 4 inches and 7 inches. What is a possible length, in inches, of the third side?
Answer:
well if im wrong then sorry but i think its 11 !!
Step-by-step explanation:
The possible length of the third side should be greater than 11.
What is triangle?A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.
Given that the lengths of two sides of a triangle are 4 inches and 7 inches.
We need to find the possible length of the third side,
So, according to the triangle inequality theorem,
For any given triangle, the sum of two sides of a triangle is always greater than the third side.
So, the sum of two sides = 4 + 7 = 11
Hence the possible length of the third side should be greater than 11.
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Please help the answer options are
1 mph
1 hour per mile
2mph
2 hours per mile
Answer:
I am positve it 2mph
Step-by-step explanation:
becuase for evry hr u drive 2 miles
Please help
Select all of the non-real complex numbers in the given table.
Answer:
All the expressions that have a negative in the radical
(Boxes 2, 3 5, and 6)
Step-by-step explanation:
You can't take the square root of a negative number. When you square a number, the product will always be positive.
Hope this helps!
PLS HELP ME I WiLL MARK THE BRAINLIEST
Answer:
look at analysis
Step-by-step explanation:
1. 152
2. 200
3. 10857
4. 123.4
5. 1848
A gumball machine contains 232323 green gumballs, 525252 red gumballs, 343434 blue gumballs, 616161 yellow gumballs, and 303030 pink gumballs. What percentage of the gumballs are red?.
Answer:
%26
Step-by-step explanation:
We can set up a proportion to find out what percentage of the gumballs are red:
[tex]\frac{525252}{232323+525252+343434+616161+303030} =\frac{x}{100}[/tex]
[tex]\frac{525252}{2020200} =\frac{x}{100}[/tex]
[tex](525252)(100)=2020200(x)[/tex]
[tex]\frac{(525252)(100)}{2020200} =x[/tex]
[tex]26=x[/tex]
Since we set up x as a fraction of 100 when writing the proportion we can say that the percentage of red gumballs is %26.
Jake drew the sketch below of a kite that he wants to make.
A kite with height equal to the sum of 10 centimeters and 50 centimeters and the width equal to the sum of 20 centimeters and 20 centimeters.
Part A
Which of the following expressions can be used to find the area of the kite? Select all that apply.
2 (12 × 20 × 50) + 2(12 × 20 × 10)
2 (12 × 20 × 60)
2 (20 × 50) + 2(20 × 10)
12 (20 × 50) + 12(20 × 10)
12(40 × 60)
Part B
What is the area of Jake's kite? Enter your answer in the box.
area =
cm2
Answer:
Part A: 2 (20 × 50) + 2(20 × 10)
Part B: 1200 cm²
Step-by-step explanation:
Part A:
2 (20 × 50) + 2(20 × 10)
= 2(1000) + 2(200)
= 2000 + 400
= 2400
Part B:
Divide the answer by 2.
= 2400/2
= 1200 cm²
Because the formula to find the area of a kite is
1/2 x (p x q), where p is the sum of a diagonal and d is the sum of a diagonal.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 0.8
Step-by-step explanation:
For this problem we will be using trigonometry :
7.3 reteaching with practice 415-420
Find the slope of the line through the points (3,-4) and(-5,2)
Use the slope formula:-
[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the values:-
[tex]\displaystyle\frac{2-(-4)}{-5-3}[/tex]
[tex]\displaystyle\frac{2+4}{-8} =\frac{6}{-8} =-\frac{6}{8}[/tex]
Reduce the fraction by dividing the top & bottom by 2:-
[tex]-\displaystyle\frac{3}{4}[/tex]
[tex]\uparrow\sf{Slope}[/tex]note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
1+1=? My teacher really wants to test my knowledge, so someone confirm this question for me
Answer:
This is a pretty tricky question but if I'm correct it might be 2
What is the simplified form of each expression?
-(10) ^-1
A) -1/10
B)- 1/-1^10
C) 1/10
D)10
1/c^-5
A) c^5
B) 5c
C) -c^5
D) - 5/c
What is the value of y^-5/x^-3 for x = 2 and y = -4?
A) 10/3
B) 128
C) - 1/128
D) -128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8?
A) Yes; the number is written in scientific notation
B) No; the first factor is not a number between one and ten
C) No; it is not written as a number times a power of ten
What is the number written in standard notation 5.71 x 10^-3?
A) -171.3
B) 0.0571
C) 0.000571
D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter?
A) 1.9 x 10^-4, 1.7 x 10^-4, 1.4 x 10^-3, 1.2 x 10^-5
B) 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
C) 1.9 x 10^-4, 1.7 x 10^-4, 1.2 x 10^-5, 1.4 x 10^-3
D) 1.2 x 10^-5, 1.4 x 10^-3, 1.9 x 10^-4, 1.7 x 10^-4
What is the expression written using each base only once (-4) ^-6 (-4) ^7?
A) 4^13
B) -4
C) 13
D) 1
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4)
A) 1.1 x 10^3
B) 2.4 x 10^3
C) 1.1 x 10^-23
D) 2.4 x 10^-23
What is the simplified form of the expression (m^7) ^2?
A) 2m^14
B) m^49
C) m^9
D) m^14
What is the simplified form of the expression t^8 (t^10) ^0?
A) t^-80
B) t^80
C) t^8
D) t^-8
What is the simplified form of the expression (3q^2) ^4?
A) 3q^16
B) 81q^6
C) 3q^8
D) 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6?
A) 9x^8 y^12
B) 3x^8 y^12
C) 2x^3 y^12
D) 9x^7 y^9
Answer:
-(10)^-1 = A. -1/10
y^-5/x^-3 for x = 2 and y = -4. C. -1/128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8? A. Yes; the number is written in scientific notation
What is the number written in standard notation 5.71 x 10^-3? D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter? B. 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
What is the expression written using each base only once (-4) ^-6 (-4) ^7? B. -4
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4) B. 2.4 x 10^3
What is the simplified form of the expression (m^7) ^2? D. m^14
What is the simplified form of the expression t^8 (t^10) ^0? C. t^8
What is the simplified form of the expression (3q^2) ^4?
D. 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6? A. 9x^8 y^12
i do not know this answer
The value of the provided function 14g², at the point g equal to negative 1 is 14, when this value is put in the function.
How to evaluate the value of a function at a point?To find the value of a function at a particular point, the value of the point has to be put on the place of a variable in the function and simplify the equation.
To evaluate the value of a function at a particular point, follow the steps given below.
Write down the function.Put the value of point in place of variable. Simplify the equation to find the value.The function given in the problem is,
[tex]f(g)=14g^2[/tex]
Here, the value of the function has to evaluate at g=-1. Put the value of g in the above function as,
[tex]f(-1)=14(-1)^2\\[/tex]
The square of -1 is 1. Thus,
[tex]f(-1)=14\times1\\f(-1)=14[/tex]
Hence, the value of the provided function 14g², at the point g equal to negative 1 is 14, when this value is put in the function.
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Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.
Answer:
Each costs $2.50
Step-by-step explanation:
Given
Cost of 3 pretzels and 4 drinks = $17.50p = dSolving
3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50⇒ p = $2.50translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Hope this helps!
Answer:
See below.
Step-by-step explanation:
A translation of 6 units right is 6 added to the x-coordinate.
A translation of 2 units down is a 2 subtracted from the y-coordinate.
Are D through G answer choices, or are you supposed to do the above translation to those 4 points?
Kelley has 18 hours of work to do on her science fair project. She has 2 weeks to complete her project. How many hours does she need to work on her project each week to complete it on time?
Answer:
9
Step-by-step explanation:
Brainly patrol deleted my answer and i have no idea why but-
She has 2 weeks, so 18/2 is 9. 9 hours each week
7. Mattie ran across a circular part. The
circumference of the park is 92.31 feet.
How far did Mattie run?
Answer:
29.39
Step-by-step explanation:
So, the formula for circumference is 2(3.14)r.
If the question is looking for the diameter,
You don't have to include the r, you can just do d(3.14)=92.31
You can divide 92.31 by 3.14 and you get 29.39
30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you
My math teacher did it the same way so I would go with your teacher's way
Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?
Answer:
the answer is k= -12
Step-by-step explanation:
use x-5= 0
x=5
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red. Section Outcomes Blue 22 Yellow 32 Red 46 Based on the outcomes, enter the estimated probability of the spinner landing on blue.
Based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
What do you mean by probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
This table shows outcomes of a spinner with 3 equal sections colored blue, yellow, and red.
Section Outcomes Blue 22 Yellow 32 Red 46 Total 100The total number of outcome is 100. The total number of favorable outcome to land blue is 22.
Thus, the estimated probability of the spinner landing on blue has to be found out is,
[tex]P=\dfrac{22}{100}\\P=0.22\\P=22\%[/tex]
Hence, based on the outcomes, the estimated probability of the spinner landing on blue which has equal sections colored blue, yellow, and red is 0.22 or 22%.
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The total surface area of a right cylinder which has a base diameter of 10 cm and a height of 7 cm is:
388 square centimeters.
377 square centimeters.
363 square centimeters.
352 square centimeters.
391 square centimeters.
Answer:
377 square centimeters
Step-by-step explanation:
Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.
First find the radius, in the problem it says a diameter of 10cm
Divide 10 by 2 to find the radius = 5
I'm going to use 3.14 as Pi
7(2×3.14×5)
7(31.4) = 219.8
Next part, solving for the 2 circles
Formula: 2×pi×radius²
2×3.14×5²
solve 5² first (5×5) = 25
2×3.14×25 is 157
add 219.8 and 157 = 376.8 round to 377
Answer: 377 square centimeters
Look at attachment below please help
100 POINTS AND BRAINLYIEST
Answer:
x = 28 unitsy = 14 unitsStep-by-step explanation:
Given is 30 x 60 x 90 right triangle
The side ratios of this triangle is
y : 14√3 : x = 1 : √3 : 2Find the value of x and y using this ratio
y = 14√3/√3 = 14x = 2y = 2*14 = 28Let's find
sin60=14√3/x√3/2=14√3/xx=14×2x=28unitsAnd
tan60=14√3/y√3=14√3/yy=14units35 Points Mark Brainliest Help
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's write the equation of line in slope point form ~
[tex]\qquad \sf \dashrightarrow \:y - y1 = m(x - x1)[/tex]
[tex]\qquad \sf \dashrightarrow \:y -2 = 3(x -1)[/tex]
[tex]\qquad \sf \dashrightarrow \:y -2 = 3x - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 3x -1[/tex]
Now, let's use this equation of line to plot two points ~
when x = 0, y = (3 × 0) - 1 = - 1 when x = -1, y = (3 × -1) -1 = -4Now, plot these points on graph ~
(0 , -1) and (-1, -4)