[tex]v = \frac{lwh}{3} [/tex]
[tex]v = \frac{12 \times 10 \times 3}{3} [/tex]
[tex]v = 120 \: {ft}^{3} [/tex]
Volume of the rectangular prism:[tex]v = lwh[/tex]
[tex]v = 12 \times 10 \times 7[/tex]
[tex]v = 840 \: {ft}^{3} [/tex]
Total volume:[tex]v = 120 + 840[/tex]
[tex]v = 960 \: {ft}^{3} [/tex]
pyramid:
lwh/2
=12×10×3/3
=120 ft^3
prism:
whl
=12×10×7
=840 ft^3
all together:
=960 ft^3
Ravi buys lunch at a restaurant.
An 8% sales tax is added, and he tips the waiter 20% of the cost of the food.
Ravi pays a total of $17.92 for his lunch, including tax and tip.
What is the price of Ravi's lunch, before tax and tip?
The price of Ravi's lunch, before tax and tip was added to the total cost of the meal is $13.19.
What is the price of the lunch?Both the tax and the tip paid would increase the cost of the meal. Thus, their dollar value has to be subtracted from the total amount he pays.
Value of the lunch after the tip has been removed = (1 - 0.2) x 17.92 = $14.34
Value of the lunch after the tax has been removed = (1 - 0.08) x $14.34 = $13.19
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GUYS PLS HELP ILL GIVE BRAINLEST IF YOUR RIGHT
A tissue box is shaped like a right rectangular prism: it has a base area of 16 square inches and a height of 5 wholes and 1/3 inches: What is the volume of the tissue box .
21 1/3 in
26 2/3 in
42 2/3 in
85 1/3 in
Answer:
85 1/3
Step-by-step explanation:
All I did is multiply and got that.
I'm going to submit my finals, so hopefully it's not wrong. I don't think it's wrong though.
Find the SURFACE AREA of the
cylinder below.
10 yd radius and 15 yd height. (ROUND TO NEAREST TENTH)
Answer:
1571
Step-by-step explanation:
its 1570.8 but you have to round
Help with this please
Answer: 4 centimeters is the mode
Step-by-step explanation: Mode is the number that comes out the most, and 4 comes out 6 times, which is the most.
PLEASE ASAP we need to turn in in 20 mins
Answer:
14 units^2
Step-by-step explanation:
Hey there!
In order to find the area of this triangle, we need to find the base and height of the triangle
the base of the triangle is 7 units long and the height of the triangle is 4 units high
Formula for area of triangle: Base x Height x 1/2
7 x 4 x 1/2 --> 28 x 1/2 --> 14
So, the area of this triangle is 14
Now the question is asking to find the area by forming a parallelogram
All you have to do for this is duplicate that same triangle, and mirror it upside down
Then all you would have to do is find the Base and the Height and multiply them together
PLEASE HELP ME!!!!!!!!!
Answer:
[tex]\{-2,2\}[/tex]
Step-by-step explanation:
[tex]~~~~~~2|p| = 4\\\\\implies |p| = \dfrac 42\\\\\implies |p| = 2\\\\\implies p =\pm2[/tex]
QR is the radius of R and PQ is the tangent to R. Find the value of x.
Answer:
x = 39
Step-by-step explanation:
We know that PRQ is a right triangle, so we use the pythagorean theorem to solve the problem. The theorem states that a^2 + b^2 = c^2. Let's assume that the length of RP is c, the length of PQ is a and x is b. We plug the lengths into the equation and solve it:
80^2 + x^2 = 89^2
6400 +x^2 = 7921
x^2 = 1521
x = [tex]\sqrt{1521}[/tex]
x = 39
Ayuda por favor!!
doy gracias y corona!!
Answer:
Ganara $15000 si trabaja 50 horas.
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
A pattern follows the rule "Start at 3 and add 10."
Which statement is true about the pattern?
A: Each term is 13 more than the previous term because the tens digit goes up by 1 and the one's digit goes up by 3.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
C: For each term, the ones digit stays the same and the tens digit goes up by 1 because 10 has one ten and no ones.
D: For each term, the ones digit goes up by 3 and the tens digit goes up by 1 because you start at 3 and go up by 10 each time.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
The rate startfraction 450 pounds over 25 buckets endfraction describes the relationship between the number of buckets and the weight of the lobsters in the buckets. what is the weight of one bucket of lobsters?
15 pounds per bucket
18 pounds per bucket
20 pounds per bucket
25 pounds per bucket
Answer:
The answer is 18 pounds per bucket.
Understanding the ProblemIn this question, we are given the expression that relates the pounds of lobster to the number of buckets:
[tex]\displaystyle \frac{\text{450 pounds}}{\text{25 buckets}}[/tex]
This fraction is presented to give a proportion of pounds of lobster to the number of buckets these lobsters inhabit.
With this proportion, we are expected to assume that the rate will be equivalent across all of the buckets. Therefore, for each bucket, there will be an equal measurement of pounds of lobster.How to Solve the ProblemTo solve this problem, we need to know exactly how this rate will work.
A rate is the same thing as a fraction, percentage, or decimal. All of these forms are convertible between one another.
For instance, if we took 25%, we know that by dividing this by 100, we receive a decimal form (0.25) or a fractional form (1/4).
We can apply the same principle here.
SolvePart I - Set up the Rate
To solve, set up the rate:
[tex]\displaystyle \frac{450 \ \text{pounds}}{25 \ \text{buckets}}[/tex]
Part II - Find the GCF
Then, find the Greatest Common Factor (GCF) of the two digits:
25 — 1, 5, 25450 — 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450Check for common factors between the two trees:
1, 5, 25Since 25 is the greatest of the three factors, it is the GCF.
Part III - Apply the GCF
Divide both the numerator and the denominator by 25:
[tex]\displaystyle \frac{450}{25} = 18[/tex]
[tex]\displaystyle \frac{25}{25} = 1[/tex]
Part IV - Simplify
Set up the new fraction:
[tex]\displaystyle \frac{18}{1}[/tex]
Anything divided by 1 does not change:
[tex]\displaystyle \frac{18}{1} = 18[/tex]
Final ApplicationsSince we got 18 an answer, this means that there are 18 pounds of lobster per bucket.
If using the method of completing the square to solve the quadratic equation x^2+5x+4=0x
2
+5x+4=0, which number would have to be added to "complete the square"?
Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
60. If a publisher charges $15 for the first copy of a book
that is ordered and $12 for each additional copy, which
of the following expressions represents the cost of
y books?
F. 12y + 3
G. 12y + 15
H. 15y - 3
J. 15y + 3
K. 15y + 12
What does it mean for data to have variability as it refers to statistical questions? Give an example
Answer:
The term, "variability" describes how far apart data points lie from each other, and from the center of a distribution.
Along with measures of central tendency, measures of variability give you descriptive statistics that summarize your data.
Variability is also referred to as spread, scatter or dispersion.
Example:
The heights of students at Brainly varied from 4 feet and 6 inches tall to 6 feet and 3 inches tall. It varies 1 foot and 9 inches.
Find the lateral area and the surface area of the composite solid. Round your answers to the nearest hundredth.
The lateral area is about ____
square inches
The surface area is about ___
square inches
The surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.
What is the area?The space occupied by any figure in the two-dimensional space is called an area. The area can be rectangular circular triangular types.
Here we have the figure made up by the two pyramids and one rectangular box. So we will find the surface area of the pyramid then the rectangular box and again the pyramid and will add all of them.
The Lateral surface area will be calculated as:-
A=2W√(w÷2)²+(h)²+w²
A=2x5√(5÷2)²+(3)²+5x5
A=152.5 +25
A=177.5 square inch
Area of lower pyramid= (1÷2)xbxh+w²
A=(1÷2)x5x7.5 + 25 =75+25= 100
Area of the rectangular box= 4(w²)=4(5x5)=100
So total lateral surface area will be =100+100+177.5=377.5 square inch
(2)The surface area will be calculated as:-
A=2W√(w÷2)²+(h)²
A=2x5√(5÷2)²+(3)²
A=152.5 square inches
Area of lower pyramid= (1÷2)xbxh
A=(1÷2)x5x7.5 =75 square inches
Area of the rectangular box= 4(w²)=4(5x5)=100
So total surface area will be =100+75+152.5=327.5 square inch
Hence the surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.
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Select all of the combinations of side lengths below that cannot be used to draw a triangle.
Answer:
A , C and D cannot be used to drwa a traingle
Step-by-step explanation:
2y+3=11
two y add three = 11
Answer:
y=4.5
Step-by-step explanation:
2y+3=11
2y=11-3
2y=9
y= 4.5
Juan rolls a 6-sided number cube 4 times. each time, the result is 2. which best describes the events? dependent: each outcome was the same. simple: one single number cube was rolled. independent: each outcome is unaffected by previous outcomes. simple: one single number cube was rolled. dependent. each outcome was the same. compound: multiple events occurred. independent: each outcome was unaffected by previous outcomes. compound: multiple events occurred.
Answer: 1/6
because there are 6 side to a cube and you can only have a outcome of 1 so therefore, the answer is 1/6
Answer:
D
Step-by-step explanation:
50 points if u answer this easy problem.
Answer:
Slope=2
Step-by-step explanation:
Slope=rise/run
We can start at 2, 3 (you can start anywhere on the line)
Then go to 3, 5 (you can end anywhere on the line)
Rise=2
Run=1
2/1=2
Slope is 2. The uses up there were examples. It doesn't have to be the exact points.
Slope
m=y1-y1/x2-x1m=1+1/1-0m=2/1m=2Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 4
y = 1/5 x - 4
y = -1/5 x + 2
y = -5x + 4
please help with this question
Step-by-step explanation:
so, that means we want to find the time t (days) after which N = No/2
because "half-life" means the amount of time until half of the substance has disappeared (or transformed into something else).
so, we have
No/2 = No × e^(-0.1481×t)
No = 2× No × e^(-0.1481×t)
1 = 2×e^(‐0.1481×t)
1/2 = 0.5 = e^(-0.1481×t)
ln(0.5) = -0.1481×t
t = ln(0.5)/-0.1481 = 4.680264555... ≈ 4.7 days
26 students are in a classroom. How many different ways can a group of 5 students be chosen?
The number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
The formula of combination is,
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Here, n is the total number of items and r is the number of ways by which an item is chosen from the set.
26 students are in a classroom. The number of different ways can a group of 5 students be chosen are,
[tex]^26C_5=\dfrac{26!}{5!(26-5)!}\\^26C_5=\dfrac{26\times25\times24\times23\times22\times21!}{5!21!}\\^26C_5=\dfrac{26\times25\times24\times23\times22}{5\times4\times3\times2\times1}\\^26C_5=65780[/tex]
Thus, the number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
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8. The model of a building is 32 inches tall. The actual building is 240 feet tall. What scale is being used?
Answer:
7.5 feet for 1 in.
Step-by-step explanation:
32:240/2
16:120/2
8:60/2
4:30/2
2:15/2
1:7.5
Determine if this statement is true.
3 = 38^8 - 96 + 10 - 109 x 12 - 18
Answer:
an answer is 4000
-12=14021
Step-by-step explanation:
branlist
Answer:
4000
-12=14021
Colleen has put $26,000 into a retirement fund. the fund has an estimated annual return of 10%. if colleen doesn't add any more money, how much can she expect to have in the fund in 7 years?
if necessary, round your answer to the nearest cent
the answer is : 50,666.64
Using an exponential function, it is found that she can be expected to have $50,666.64 in the fund in 7 years.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, we have that the initial amount and the growth rate are given, respectively, by:
A(0) = 26000.r = 0.1.Hence the amount after t years is given by:
[tex]A(t) = 26000(1.1)^t[/tex]
Then, after 7 years, the amount is:
[tex]A(7) = 26000(1.1)^7 = 50,666.64[/tex]
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Help is much appreciated :)
Answer:
Your answer is A
y≤ 1/2x + 3
y≥ 1/2x - 4
Step-by-step explanation:
6.14 Checkpoint: Systems of Linear Inequalities
I took the test
Answer:
Which systems of inequalities does the graph show?
A
O y ≤ 1/2x + 3
y ≥ 1/2x - 4
Step-by-step explanation:
You're welcome.
How many square inches of fabric does Kendall need for a triangle flag with a base of 20 inches a height of 40 inches
Answer: [tex]400^{2}[/tex]
Step-by-step explanation:
First, write the formula:
A = (b × h) / 2
Next, multiply the base and the height of the triangle.
20 x 40 = 800
Finally, divide 800 by 2.
800/2=400
Therefore, the answer is [tex]400^{2}[/tex].
30 Points: How does it relate to one of these?
Triangle Proportionality Theorem
The Converse of the Triangle Proportionality Theorem
Pythagorean Theorem, using Similar Triangles
The Converse of the Pythagorean Theorem
Answer: the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
Step-by-step explanation:
Answer:
this is how the Pythagorean theorem works a^2 + b^2 = c^2 I hope this helps have a great day bye!!! :D
Step-by-step explanation:
find the domain and range pls!
How to find the root of x^2 -6x+8=0
Answer:
2,4
Step-by-step explanation:
This question is quite simple. First you need to find the factors of 8. Then you need to see which factors of positive 8 can add up to make -6. The factors are -4 and -2. Then expand. Now you have the equation x^2-4x-2x+8. Now group it.
(x^2-4x) +(-2x+8)
Then take out the X from the first group and the -2 from the second. We want the values in the brackets to be the same.
Now you have
x(x-4)-2(x-4)
Take the x and the -2x and make it a group. Now you have (x-4)(x-2)
Set x-4 equal to zero. x-4=0 Now solve it like a regular equation. Add four to both sides. Now you have x=4
Do the same thing with (x-2) and you get x=2
4 and 2 are your solutions
Answer:
x = 4 and x = 2
Step-by-step explanation:
The easiest way to find the roots is by converting the function into its factored form. This can be determined by asking the question:
What two numbers have a product 8 and a sum of -6?
These two values are -4 and -2.
-4 x -2 = 8
-4 + (-2) = -6
These two numbers are used in the factored form of the equation. You can prove the accuracy of the factored form by re-expanding it (multiply all the terms in the first parentheses by the terms in the second parentheses). The factored form looks like this:
(x - 4)(x - 2)
The roots are the values that make the expression equal 0. This can be done by setting each parentheses equal to 0 and solving for "x".
x - 4 = 0 x - 2 = 0
x = 4 x = 2
Therefore, the roots of the function x² - 6x + 8 are x = 4 and x = 2.