The 24 boxes which will fit into the large box if the box is in the shape of a rectangular prism.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
We can find the volume of the box = length×width×height
Volume for the large box = 12×10×12 = 1440 cubic in
Volume for the small box = 4×5×3 = 60 cubic in
Number of cookie boxes will fit into the large box = 1440/60 = 24
Thus, the 24 boxes which will fit into the large box if the box is in the shape of a rectangular prism.
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 18
Blue 10
Green 7
Yellow 19
Purple 6
If the spinner is spun 1400 more times, about how many times would you expect to land on red? Round your answer to the nearest whole number.
Answer:
red 420 times
Step-by-step explanation:
The results show red (18) out of ( 18+10+7+19+6)
18 / 60
18/60 * 1400 = 420 times
Find the common ratio for this geometric sequence.
72, 12, 2, 1/3, 1/18
Answer:
6:1. Each following term is 1 to 6 of the previous term.
Step-by-step explanation:
72/12 = 6/1
12/2 = 6/1
etc
find the circumference of the circle in round to the nearest 10th help please
Answer:
about 33.9 cm
Step-by-step explanation:
[tex]2\pi(5.4) = 10.8\pi = 33.9[/tex]
Find the length of a rectangular prism if the volume is 70 m3 the width is 2 m and the height is 7 m
Answer:
5m
Step-by-step explanation:
V=whl
Solving forl
l=V
hw=70
7·2=5m
PLEASE tell me I'm dead with this question
There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
A 21 boys B 18 boys C 16 boys D 14 boys E 9 boys
Answer:
b 18 boys
Step-by-step explanation:
In order to solve this problem we must create a system of equations.
Creating a system of equations
Let x = number of boys and y = # of girls
We are given that in total there are 27 children which means # of boys + # of girls = 27 so we can say x + y = 27
We are also given that there are twice as many boys as girls so we can also say x = 2y ( as # of boys = twice the number of girls )
Solving the system
Now to find the # of boys and girls we must solve the system. To do so we are going to use the substitution method.
What is the substitution method?
The substitution method is where one of your variables ( x in this case ) is defined by an expression in which you can plug in or " substitute " it into the other equation ( we can substitute x = 2y into the other equation and solve for y )
Substitute equation 2 into equation 1
Equation 1 : x + y = 27
==> plug in x = 2y
y + 2y = 27
==> combine like terms
3y = 27
==> divide both sides by 3
y = 9
So there are 9 girls in the classroom
Solving for # of boys
To solve for the number of girls we plug in the # of girls (y=9) into one of the equations and solve for x
equation : x + y = 27
==> plug in y = 9
x + 9 = 27
==> subtract 9 from both sides
x = 18
There are 18 boys in the classroom
Checking our work:
Now that we have found the possible answers we can check our work. To do so we are going to want to plug in the values of x and y into both equations and if both are true our answer is correct
Equation 1 x + y = 27
==> plug in x = 18 and y = 9
18 + 9 = 27
==> simplify
27 = 27 ✓
equation 2 x = 2y
==> plug in x = 18 and y = 9
18 = 2(9)
==> multiply 2 and 9
18 = 18 ✓
Both are correct therefore we can conclude that there are 18 boys and 9 girls.
Need help plsss is 3/100 equal to 0.300 ???
Answer:
Yes. 3/100 = 0.3
Step-by-step explanation:
3/100 converted to decimal form equals 0.3.
Answer:
No
Step-by-step explanation:
If you divide 100 by 3 you will end up with 0.03, not 0.3.
Hope this helps!
Find the slope of the line that passes through the points (10,-14) (-4,-2)
Answer: 0.8571
The explanation is in the image please
2.
3х + 5x - 12
solve by quadratic formula
Answer:
3/2
Step-by-step explanation:
Please give me brainlist
A car salesperson receives a 7% commission per car sold. How much commission would the salesperson receive when selling a car for $24000?
Answer:
$1680
Step-by-step explanation:
To find 7% of 24000, convert 7% to a decimal and multiply. Percent means per hundred, 7% is 7/100 is .07
.07 × 24000
= 1680
The y-Intercept of the line whose equation is 7x - 4y= 8 is
8
7/4
-2
Answer:
-2
Step-by-step explanation:
To find the y-intercept, all we need to do is plug in 0 for x and solve for y, giving us [tex]-4y = 8[/tex], so y = -2.
i need helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp again.
Answer:
C - 35 gallons per minute
Step-by-step explanation:
350 / 10
Answer:
350/10 = 35 gallons per minute
Step-by-step explanation:
factor 2x^3 + 5x^2y - 2xy^2 - 5
Answer:
The expression is not factorable with rational numbers.
Hope this helps.
can someone do this for me please?! Just the answer pls
Answer:
1 is H
2 is G
3 is B
Answer:
1 is G number 2 is F
Number 1 is G
Number 2 is F
HELPP ASAPP
How many solutions does the equation 2x + .5y = -4 have?
Answer:
Topics
2x-5y=4. 2x−5y=4. Add 5y to both sides. Add 5y to both sides.
2x=4+5y. 2x=4+5y. The equation is in standard form. The equation is in standard form.
2x=5y+4. 2x=5y+4. Divide both sides by 2. ...
\frac{2x}{2}=\frac{5y+4}{2} 22x=25y+4 Dividing by 2 undoes the multiplication by 2. ...
x=\frac{5y+4}{2} x=25y+4 Divide 4+5y by 2.
Step-by-step explanation: How do I determine how many solutions an equation has?
If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.
help please!!!(will mark brainliest)
Step-by-step explanation:
remember, a probability is always desired cases over total possible cases.
the class has 10+15 = 25 students.
and 5 of them will be picked as representatives to the school board.
how many total possibilities do we have ?
since picked students can be picked only once, and the sequence of the 5 picked students in the group does not matter, we have a combination without repetition :
C(25, 5) = 25! / (5! × (25-5)!) = 25! / (5! × 20!) =
= 25×24×23×22×21 / (5×4×3×2) =
= 5×1×23×22×21 = 53,130 possible outcomes.
how many desired outcomes ?
that would be how many options we have to pick 2 out of 10 and 3 out of 15 :
C(10,2) × C(15,3) = 10! / (2 × 8!) × 15! / (3! × 12!) =
= 10×9/2 × 15×14×13/(3×2) =
= 5×9 × 5×7×13 = 20,475 desired outcomes
and the probability is
20475 / 53130 = 4095 / 10626 = 1365 / 3542 = 195 / 506
= 0.385375494... ≈ 0.39
In this rug, given the horizontal segments are parallel and ∠1 ≅ ∠2, prove ∠3 ≅ ∠5.
1 is congruent to 3 and 2 is congruent to 5 because alternate interior angles are congruent.
Since 1 is congruent to 3 and to 2, then 3 is congruent to 2.
But 2 is congruent to 5, so since 3 is congruent to both 3 and 5, 3 and 5 must be congruent to each other.
What is being congruent in math?Two geometric figures are said to be congruent or to be in the relation of congruence if it is possible to superpose one of them on the other so that they coincide throughout.
The word 'congruent' means 'exactly equal' in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.
What is an alternate interior angle?Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
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what does each equation have in common
The equations have operations, variable, an equal sign in common.
What is an Equation?An equation is a mathematical expression that contains an equals symbol.
As per the definition, the equation contain operations, variable, an equal sign. That means whatever be the equation then it must contain operations, variable, an equal sign.
So, all the equations have operations, variable, an equal sign these three things in common.
For example: 4a+b=0
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In a bag are 100 marbles: 10 red, 20 white, 30 blue, and 40 green. If one marble is drawn from the bag, what is the probability that the marble will not be red, white, or blue?
Answer: 60/100 or 6/10 or 3/5
Step-by-step explanation:
We get 10+20+30=60.
We Covert to a fraction, 60/100
Reduce Down. 6/10
Reduce again, 3/5
Final answer is 3/5, the chance of it not being Red, White, or Blue is 3/5.
The density of copper is 8960 /3. What is tmass of a solid cube of copper with side lengths of 4 meters?
Answer:
573440 Kg
Step-by-step explanation:
Mass of copper:[tex]\boxed{\bf Mass = density * volume}[/tex]
Find the volume of the solid cube
Volume of solid cube = side³
= 4 * 4 * 4
= 64 m³
[tex]\sf Mass = 8960* 64\\[/tex]
= 573440 Kg
BUILDING A horse farm is developing a new indoor arena in a rectangular building. They want the width of the building to be 3y feet and the length to be 4y+9 feet. Write an expression in simplest form to represent the area A of the building in terms of y.
A= ____
Answer:
3y(4y+9)=12y^2+27y......
The area A of the rectangular building in terms of y will be (12y² + 36y).
What is Area of rectangle?
The area of a rectangle is length time width.
Given that;
The width of rectangular building = 3y
The length of rectangular building = 4y + 9
Now,
Area of rectangle = length x width
Substitute all the values we get;
Area of a rectangle = 3y (4y + 9)
= 12y² + 36y
Thus, The area A of the rectangular building in terms of y will be
⇒ (12y² + 36y)
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The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Mark this and return
Answer:B mark me brainliest
Step-by-step explanation:Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
Answer:
B) y/x=2/3
Step-by-step explanation:
Edg2022
The line passes through (8,-7) and is parallel to the line whose equation is y=2x+2.
Answer:
y = 2x -23
Explanation:
Given equation: y = 2(x) + 2
Comparing with slope intercept formula: y = m(x) + b
where m is slope, b is y-intercept
Here slope: 2 as parallel line has same slope
Find equation:
y - y1 = m(x-x1)
y -(-7) = 2(x-8)
y + 7 = 2x - 16
y = 2x - 16 - 7
y = 2x -23
Given graph to confirm answer:
Compare to slope intercept form
Slope=m=2Parallel lines have slopes equal
Equation in point slope form
y+7=2(x-8)y+7=2x-16y=2x-23What is the missing number ?? /6 =25/30
Answer:
5
Step-by-step explanation:
[tex]\frac{25}{30}[/tex] ( divide numerator and denominator by 5 ) , then
[tex]\frac{25}{30}[/tex] = [tex]\frac{5}{6}[/tex] ( with missing number ? = 5 )
Answer:
x = 5Step-by-step explanation:
What is the missing number ?? /6 =25/30
x : 6 = 25 : 30
x = 6 * 25 : 30
x = 5
-------------------------------
check
5/6 = 0.83
25/30 = 0.83
the answer is good
Is this triangle acute, right, or obtuse?
acute
right
obtuse
Answer: Heyaa!
A Triangle is actue! :)
Step-by-step explanation:
Hopefully this helps you!!
Answer:
it's a right triangle
Step-by-step explanation:
at the bottom left corner of the triangle, there's a square that tells u that it's a right triangle
how many time 2/3 can go into 16
Explanation pls!!
Answer:
24 times
Step-by-step explanation:
16 divided by 2/3 is 24
hope this helped!
Please help me find the area of compound shapes?!!?
Answer:
85 cm²
Step-by-step explanation:
Area = 5 x 5 + 15 x 4
Area = 25 + 60
Area = 85 cm²
DO GIVE CORRECT ANSWER other ways I will report you
1.You roll a standard, six-sided number cube. What is the probability of rolling a prime number or a number greater than 4?
2. Garrett throws a dart at a circular dart board. The dart board has a radius of 16 inches, and the bull’s eye in the center of the dart board has a radius of 6 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
Step-by-step explanation:
for the prime number it's 1/2
25x25 in exponential form
find the value of p(7, 4)
Answer:
P(7,4)= 840
Step-by-step explanation:
Simplify the algebraic expression
Answer:
1/4 x + 9/10
Step-by-step explanation:
[tex]=-\frac{1}{2}x+\frac{7}{10} +\frac{3}{4} x+\frac{1}{5}[/tex]
[tex]=\frac{3}{4}x-\frac{2}{4} x+\frac{7}{10} +\frac{2}{10}[/tex]
[tex]=\frac{1}{4} x+\frac{9}{10}[/tex]
Hope this helps