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Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make a box.
1) what is the surface area of the box?
2) What is the volume of the box?
3) Explain how you determined the surface area and volume.
Answers
Answer:
surface are: 300 cm2
volume: 450cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Surface area of a box = 2wl + 2hw + 2 lh
Where w is the width of the box, l is the length of the box, and h is the height of the box.
The top sides and bottom have only length and width, since there is no top side, the surface area is equal to the outer 5 surfaces.
S = wl + 2hw + 2 lh
Replacing with the values given:
S = (15x10)+ 2(3x10)+ 2(15x3)
S = 150+60+90=300 cm2
For the volume we simply apply:
Volume of a rectangular prism: length x width x height
V = 15x10x3 = 450cm3
Feel free to ask for more if needed or if you did not understand something.
Related Questions
4(x+2)=2(3x+5)
I need the answer
Answers
Your answer would be x = -1.
We can find this by first expanding the brackets on both sides of the equation:
4x + 8 = 6x + 10
Now we can rearrange and solve for x:
4x + 8 = 6x + 10
- 4x
8 = 2x + 10
- 10
-2 = 2x
÷ 2
-1 = x
I hope this helps!
Answer:
x = - 1
Step-by-step explanation:
Given
4(x + 2) = 2(3x + 5) ← distribute parenthesis on both sides
4x + 8 = 6x + 10 ( subtract 6x from both sides )
- 2x + 8 = 10 ( subtract 8 from both sides )
- 2x = 2 ( divide both sides by - 2 )
x = - 1
Help me please!!!!
Fghxfhhffhcc
Answers
Answer:
x = ± 2
Step-by-step explanation:
To find the zeros set the polynomial equal to zero, that is
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
Thus x = - 2 or x = 2
Solve this problem:
X+7=12
Answers
Answer:
x=5
Step-by-step explanation:
because 5+7=12
you can figure it out by doing 12-7=?
the answer is 5 and thats your x
Find the Greatest Common Factor of the terms mn, mnp, n3p
Answers
Answer:
n
Step-by-step explanation:
I have 2 questions
A circle with a small hole in the middle. The large circle has a diameter of 22 millimeters. The small hole has a diameter of 5 millimeters.
The Japanese 5 yen coin has a hole in the middle. What are the possible ways to calculate the difference between the distances from the outer edges and the inner edges of the coin? Check all that apply.
Subtract the two diameters and multiply by pi
Add the two diameters and multiply by pi
Subtract the circumference of the hole from the circumference of the coin.
Calculate the radius of the hole.
and how do you mark brainliest i forgot and i feel stupid for asking
Answers
Answer:
A and D
Step-by-step explanation:
edge 2022
The box plots below show the average daily temperatures in January and December for a U.S.
city:
January
December
What can you tell about the means for these two months? (1 point)
Answers
Answer:
The answer is C
Step-by-step explanation:
Took the test!
What is w^2 in a verbal expression? Is it w to the power of 2?
Answers
Answer:
w to the power of two, or w squared
Step-by-step explanation:
Yes, one way you can express w^2 verbally, is by saying w to the power of two. However, you can also express this by saying w squared.
To find the value of y using the value of x, use ___ equation of the system.
A. Either
B. Neither
C. The First
D. The Second
Answers
Answer:
D, The Second
Step-by-step explanation:
HELPPPPPPPPPPPPMEEEEEEE
Answers
Answer:
I'm pretty sure it is 21
What is the perimeter of the pentagon
Answers
Answer:
60
Step-by-step explanation:
To find the perimeter, you have to add up all the sides, like you have done.
This is 12+12+12+12+12 which is the same as 12*5 which is 60!
Hope this helps!
Snow Mountain Ski Resort offers a special season pass at the beginning of each ski season. The pass costs $35, and an additional $25 is charged each time you ski. Write the equation of this line in slope intercept form.
Answers
y = 25x + 35
35 is the original amount or your y intercept
25x is the slope since it is how much your cost increases by every time you ski
please help me with this math problem:)
Answers
Answer:
a = 1.08 m
Step-by-step explanation:
Answer:
1.08
Step-by-step explanation:
use the equation tool to complete the table y= -670+33 (X)
Table:
X value Y value
40 650
41 683
42 716
43 749
44 ?
Answers
Answer:
782
Step-by-step explanation:
y = -670 + 33(44)
y = -670 + 1452
y = 782
Step-by-step explanation:
Step 1: Find y when x is 44
[tex]y = -670 + 33x[/tex]
[tex]y = -670 + 33(44)[/tex]
[tex]y = -670 + 1452[/tex]
[tex]y = 782[/tex]
Answer: [tex]? = 782[/tex]
Plz answer with explanation will give brainliest
Answers
Answer:
B: |8| + (-7)
Step-by-step explanation:
When you are looking for the distance between two numbers, always add. The distance between 8 and -7 is 15 (|8| = 8). If, for instance, the answer was negative, which it is now, just find the absolute value of -15 which equals 15. The answer is B.
Solve the system of equations:
2x-5y=-22
X+7y=27
Answers
Which best explains what happens during crossing over?
A. The chromosomes have electrical connections that allow them to line up randomly.
B. Paired chromosomes overlap and portions of DNA switch between chromosome.
C. Genetic material is switched because the chromosomes line up independently.
D. Chromosomes line up randomly and cross genetic information between unpaired chromosomes.
Answers
Answer:
B
Step-by-step explanation:
5
= Qu
plete
Cindy went to the salon to get highlights and a haircut. Her total cost
was $95. Cindy decided to tip her stylist 22% because she loved her
hair so much. How much was the tip?
Select one:
O $20.90
O $117
O $115.90
O $74.10
Answers
Answer:
$20.90
Step-by-step explanation:
22% of $95 is $20.90
Write the standard equation of the circle with center (0, 1) passing through the point (4, 9).
A. x2 + (y + 1)2 = 40
B. (x − 1)2 − y2 = 80
C. x2 + (y − 1)2 = 80
D. (x + 1)2 + y2 = 40
Answers
explanation:
r² = (4-0)² + (9-1)² = 80
(x-0)² + (y-1)² = r²
x² + (y-1)² = 80
A box of cereal is shaped like a rectanular prism. The box is 20 centimeters long, and 30 centimeters high. The volume is 3,600 cubic centimeters. Find the width of the box
Answers
Answer:
20 x 30 = 600
3,600/600=6
Check if it works
20 x 30 = 600
600 x 6 = 3,600
the missing width is 6
Step-by-step explanation:
A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16.
Which number could be the number of packages of flour tortillas the clerk put on the shelf?
A: 23
B: 18
C: 14
D: 32
Answers
Answer:
would it be c because you can get 14 from 7 and you cant get they other numbers from 7 so maybe?
Step-by-step explanation:
The student council at Richmond High School
is made up of 646 female students 229
seniors, and 6% female seniors.
If a student is selected at random, what is the
probability, as a decimal to the nearest
hundredth, that the student is female given that
the student is a senior?
Answers
Answer:
[tex]P(F/S)=0.216[/tex]
Step-by-step explanation:
Let's call F the event that the student is female and S the event that the student is senior.
So, we need to find the probability P(F/S) that a student is female given that the student is a senior. P(F/S) is calculated as:
P(F/S) = P(F∩S)/P(S)
Then, the probability P(F∩S) that a student is female and senior is equal to 0.06
On the other hand, we can calculate the total number of students x using the following equation as:
[tex]\frac{646}{x}+\frac{229}{x}-0.06=1[/tex]
Where 646/x is the percentage of female students, 229/x is the percentage of senior students and 0.06 is the percentage of female seniors.
Then, solving for x we get that the number of students is 825.4719
Additionally, the probability P(S) that a student is a senior is equal to:
[tex]P=\frac{229}{825.47} =0.2774[/tex]
Because there are 825.47 students and 229 are senior.
So, P(F/S) is equal to:
[tex]P(F/S)=\frac{0.06}{0.2774}=0.216[/tex]
There are many variables that affect the calculation of a patient’s total blood volume. For the purposes of this question, weight and age will be the only variables considered. The Australian Red Cross states that “Blood volume can be estimated as approximately 70mL/kg for adults, 80mL/kg in children…”. Work on the assumption that an adult is a person aged 16 years or over and a child is a person aged 2 to 16 years.
Let:
W = Weight (kg)
P = Plasma volume (mL) and
T = Total blood volume (mL)
Write 2 equations for calculating Total blood volume (T) given Weight (W), expressing T in terms of W, one for adults and one for children:
Answers
Answer:
The two equations are;
For adults, T = W kg × 70 mL/kg ............Equation (1)
For children, T = W kg × 80 mL/kg.............Equation (2)
Step-by-step explanation:
We are told that
Blood volume = 70 mL/kg for adults
Blood volume = 80 mL/kg in children
Therefore, the total blood volume,T of an adult of weight, W is given by the following relation;
T = W kg × 70 mL/kg ............Equation (1)
The total blood volume,T of a child of weight, W is given by the following relation;
T = W kg × 80 mL/kg.............Equation (2).
Which number is a common factor of 27 and 45?
A) 5
B) 9
C) 12
D) 15
Answers
Answer:
We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.
Step-by-step explanation:
9 is the common factor of both 27 and 45 cause 9 * 5 is 45 and 9*3 is 27
angle C is inscribed in circle O AB is a diameter of O what is measure of A
Answers
Answer:
A = 53 degree
90-37 = 53 degree
As the triangle is a right angle triangle we see complimentary to the other angles and as all angles in a triangle equal 180, we see the other two which compliment this.
Step-by-step explanation:
Answer:
53 degrees
Step-by-step explanation:
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.
Answers
In step 3, he did not subtract –7(9) to keep the function equivalent. Therefore, the correct option is option C among all the given options.
What is mathematical function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a predictor variables (the dependent variable).
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. German mathematician Paul Dirichlet initially offered the standard concept of function in 1837. When Nick checked his work it did not match the standard form function. In step 3, he did not subtract –7(9) to keep the function equivalent.
Therefore, the correct option is option C.
To know more about mathematical function, here:
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Your question is incomplete but most probably your full question was,
Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
p(x) = –7x2 + 42x + 17
p(x) = –7(x2 – 6x) + 17
= 9;
p(x) = –7(x2 – 6x + 9) + 17
p(x) = –7(x – 3)2 + 17
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.
Nick made mistakes in converting to standard form, factoring constants correctly, maintaining equivalence, and writing perfect square trinomials. Correcting these steps will yield an accurate transformation of the equation.
Let's break down the steps Nick likely took and identify where he went wrong in putting the quadratic equation into its standard form.
Step 1: Initially converting the equation to standard form. For the equation x² + 4x + 21 = 0, the equation was already in standard form, so no changes were necessary here. It’s possible that Nick incorrectly adjusted coefficients, which led to errors.Step 2: Factoring out terms. If Nick had an equation like -7x² + 17 = 0, he should have factored out -7 from both the x² term and the constant term, resulting in -7(x² - 17/7) = 0. Missing this step would lead to misrepresentation of the equation.Step 3: Ensuring equivalence. Nick should have subtracted -7(9) correctly to maintain the function's equivalence throughout the transformation.Step 4: Writing the perfect square trinomial correctly. To complete the square, for example, (x + 2)² should be correctly represented as a binomial squared. Not doing so indicates an error in the transformation process.In summary, Nick’s mistakes include incorrect standard form conversion, improper factoring of constant terms, failing to maintain equivalence, and incorrect representation of perfect square trinomials.
Please please help:p
Answers
Answer:
y = [tex]\frac{6}{19}[/tex]
Step-by-step explanation:
Please Help!!! 25 points!!!!!
Answers
Answer:
32.97
Step-by-step explanation:
because u have to times 10.5 × 3.14
Tarzan is swimming east at 2.4 m/s across a river that is 1660 meters wide and
flows north at 5.2 m/s
What is tarzan’s final rate of swimming?
Answers
Tarzan’s final rate of swimming is 4.83 minutes.
What is velocity?Velocity is the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference.
Now it is given that,
Tarzan is swimming east at Velocity, Vt = 2.4 m/s
River's Velocity flowing north, Vr = 5.2 m/s
Width of river = 1660 meters
So, resultant speed of Tarzan, V = √(Vt² + Vr²)
⇒ V = √(2.4² + 5.2²)
⇒ V = √(5.76 + 27.04²)
⇒ V = √32.8 m/s
⇒ V = 5.73 m/s
Thus, rate of swimming = Width / V
⇒ rate of swimming = 1660 / 5.73 s
⇒ rate of swimming = 289.70 s
or, rate of swimming = 4.83 minutes
Thus, Tarzan’s final rate of swimming is 4.83 minutes.
To learn more about rate :
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10 x ( -9 + (-6) )
--------------------------
Answers
Answer:
This graph will help you.
Step-by-step explanation:
Answer:
Step-by-step explanation:
what is the equation of the line?
Answers
Answer:
x=3
Step-by-step explanation:
try different values on the line! plug them in and you'll see that every x value is 3!
Answer:
x=3
Step-by-step explanation:
Because there is no slope (or the slope is undefined), there is another way to write the equation. Instead of y=mx+b, it will be either x=b or y=b, y=b being a horizontal line and x=b being vertical. To find b, simply find the value of x or y. The line has infinite points on it with one similarity, being their x value is 3. Hence, the equation is x=3.