Answer:
32
Step-by-step explanation:
Let's say n such books make up the stack.
If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.
==> number of books × 3/4 = 24
(to get this result add the heights of n such book, and equate it to 24. You'll get something like:
3/4 + 3/4 +. . . . n times = 24
And that's what's meant by 3/4 × n = 24)
==> n × 3/4 = 24
multiply both sides by 4
==> n × 3 = 24 × 4
divide both sides by 3
==> n = (24 × 4)/3
==> n = 8 × 4
==> n = 32
We assumed the number of books to be n.
so the answer is:
32 books, each if height 3/4 inch, are required to build a stack 24 inches high.
PLEASE HELP!!!! Solve for the variable. Show all work.
x2 - 33 = -1
Answer:
x = 4√2
Step-by-step explanation:
x² - 33 = -1 [ change sides ]
x² = -1 + 33
x² = 32
x = √3 [changing sides, changes power of square, (²) turns square root,√ ]
x = √4 * 4 * 2
x = 4√2 .......final answer.
Answer:
x = 4√2 or x = −4√2
Step-by-step explanation:
Step 1: Add 33 to both sides.
x2 − 33 + 33 = −1 + 33
x2 = 32
Step 2: Take square root.
x = ±√32
x = 4√2 or x = −4√2
Which operation symbol could be placed in the circle so that B is a non linear function of T?
B= t___t
A. +
B. -
C. x
D. division sign
It can be deduced that a non linear function is a function where the graph isn't a line.
What is a non linear function?Your information is incomplete as the circle isn't given. Therefore, an overview of the non linear function will be given.
A non linear function simply means a function where the graph is not a line. In this case, they do not have a constant slope.
A non linear function is a function shows graph isn't a line or part of a line. In such a case, the graph isn't a straight line.
Learn more about non linear function on:
https://brainly.com/question/1221149
Pls help i will provide picture
Answer:
A. 4
Step-by-step explanation:
First, we can try the first option. 2/4 is equivalent to 6/12 when you multiply the fraction by 3 to get a common denominator. Since 6/12 is larger than 4/12, and the question has 1 answer, 4 is the only value that satisfices the statement and is the answer.
Eric uses 585 liters of water to water his lawn. How many milliliters of water does he use?
Answer: 585000mL
Step-by-step explanation:
We know that there are 1000 milliliters (mL) in a liter (L), hence the prefix milli meaning thousand (for future reference).
As a result, in order to find the amount of milliliters, we need to multiply the amount of liters by 1000.
585Lx1000 = 585000mL
Remember: 1L = 1000mL; mL = 1000L
Answer:
585 into milimiter is 585000000mm
Step-by-step explanation:
that is the answer thank you
When a cube with sides numbered 1 trough 6 is
rolled 1 time what is the probability of rolling a 4
or greater
Answer:
The probability of rolling a 4 or greater is 12
Step-by-step explanation:
hope it helps you
mark me as branliest
What is 0.08 divided by 0.24
Please hurry and answer please
Using Postulates and/or Theorems learned in Unit 1, determine whether ABC~AXY.
Show all your work and explain why the triangles are similar or why they are not.
Explanation:
AB = AX+XB = 8+22 = 30
The ratio of AB to AX is AB/AX = 30/8 = 3.75
AC = AY+YC = 9+33 = 42
The ratio of AC to AY is AC/AY = 42/9 = 4.67 approximately
Since we don't get the same result, this means that the equation AB/AX = AC/AY is not true. The sides are not in proportion with one another, and therefore the triangles aren't similar.
The sides need to be in proportion with one another so we could use the SAS similarity rule.
Considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.
What is the SAS Similarity Theorem?The SAS Similarity postulate or theorem, states that, when two triangles have two pairs of corresponding sides whose ratios are the same, and also has a pair congruent included angles, then, both triangles are similar.
Triangles ABC and AXY have a pair of congruent included angles, ∠BAC ≅ XAY.
Let's find out if their corresponding sides have equal ratios.
Thus:
AB/AX = 30/8 = 3.75
AC/AY = 42/9 = 4.67
Their ratios are not equal.
Therefore, considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.
Learn more about SAS similarity theorem on:
https://brainly.com/question/22472034
Find the value of (8/125)^-2/3
Answer:
6.25
Step-by-step explanation:
Using the rules of exponents
[tex](\frac{a}{b}) ^{-\frac{m}{n} }[/tex] = [tex](\frac{b}{a}) ^{\frac{m}{n} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a} )^m[/tex]
Given
[tex](\frac{8}{125}) ^{-\frac{2}{3} }[/tex]
= [tex](\frac{125}{8}) ^{\frac{2}{3} }[/tex]
= [tex](\sqrt[3]{125} )^2[/tex] × [tex]\frac{1}{(\sqrt[3]{8})^2 }[/tex]
= 5² × [tex]\frac{1}{2^2}[/tex]
= 25 × [tex]\frac{1}{4}[/tex]
= [tex]\frac{25}{4}[/tex]
= 6.25
Find the surface area of the net below.
Answer:
okay so first to find the surface area of the net below you should always start from the line that is pointing at the end of the the i n u m so you see that is between 8 1/8 and 2 so you see the line you draw a line in the middle between 8 and then when you look and then you draw another line were 19 years and then you draw another line so you can see that at the top of 19 and there at the bottom of 918 you see that you can find the Nets below because you can see me you draw your line it shows you Drawing the Line because when you draw a circle in the middle and then you draw a another little circle in the middle is shows the surface area of the net below so bye
Rearrange the fractions in order from least to greatest. Show your work
Answer:
A) 2/3, -3/4, 1/2, -1/3
Start by making all of them have the same denominator. They all multiply to 12 easily, so I will use that. Remember that whatever you do to the top you have to do to the bottom, and vice versa.
Multiply 2/3 by 4/4 to get 8/12
Multiply -3/4 by 3/3 to get -9/12
Multiply 1/2 by 6/6 to get 6/12
Multiply -1/3 by 4/4 to get -4/12
Least to greatest (new): -9/12, -4/12, 6/12, 8/12
Least to greatest (old): -3/4, -1/3, 1/2, 2/3 <-------- this is your answer
C) -9/10, -8/9, -4/5, -41/45
Make them have the same denominator. They all multiply to 90, so I'll use that.
Multiply -9/10 by 9/9 to get -81/90
Multiply -8/9 by 10/10 to get -80/90
Multiply -4/5 by 18/18 to get -72/90
Multiply -41/45 by 2/2 to get -82/90
Least to greatest (new): -82/90, -81/90, -80/90, -72/90
Least to greatest (old): -41/45, -9/10, -8/9, -4/5 <-------- this is your answer
E) -3, -2 2/3, -3 1/6, 2 3/4
Make the mixed numbers into improper fractions by multiplying the whole number with the denominator, and then adding the numerator:
-3 ---> -3/1 (this one's easy)
-2 2/3 ---> -8/3
-3 1/6 ---> -19/6
2 3/4 ---> 11/4 (this one is the only positive one, so it will be the greatest)
Same denominator. I'm using 12.
Multiply -3/1 by 12/12 to get -36/12
Multiply -8/3 by 4/4 to get -32/12
Multiply -19/6 by 2/2 to get -38/12
Multiply 11/4 by 3/3 to get 33/12
Least to greatest (new): -38/12, -36/12, -32/12, 33/12
Least to greatest (old): -3 1/6, -3, -2 2/3, 2 3/4 <-------- this is your answer
write in two equivalent forms: fraction, decimal, or percent.
7/8
PLEASE ANSWER QUICK!!!!!!!!! I NEED HELP!!!! FAST!!!!
ty
Answer:
7/8 = 0.875 = 87.5%
Step-by-step explanation:
7/8 = 0.875 = 87.5%
An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
turns around and flies with the wind, returning to its starting place in 4 hours.
This can be modeled by the following system of equations, where (s) is the speed
of the plane with no wind and (w) is the speed of the wind.
5(s-w)=900
4(s+w) = 900
What is the speed of the wind in miles per hour?
Answer:
22.5 miles per hour
Step-by-step explanation:
Given system of equations
5(s-w)=900
4(s+w)=900
Set equations equal to each other
5(s-w)=4(s+w)
5s-5w=4s+4w
s-5w=4w
s=9w
Solve for w using the substitution s=9w
4(s+w)=900
4(9w+w)=900
4(10w)=900
40w=900
w=22.5
Therefore, the speed of the wind is 22.5 miles per hour
21. The following dataset depicts the hypothetical test scores of students in a random college
statistics course: {92, 84, 53, 77, 81, 71, 62, 54, 67, 69, 88, 75, 96, 75, 78}
Based on the data, construct a five-class frequency distribution with a lower class limit of
50, an upper class limit of 99, and a class width of 10. Include the relative and cumulative
frequencies for each class.
Answer: answer 98 , 78
Step-by-step explanation:
the way you just flip then and your done
1)make x the subject of formula
Y = 6x + 11
2) make b and h the subject of formula
A =
[tex] \frac{1}{2} bh[/tex]
Answer:
o 1)
[tex]Y= 6x + 11 \\ \\ 6x = Y - 11 \\ \\ x = \frac{Y - 11}{6} \\ \\ x = \frac{Y}{6} - \frac{11}{6} [/tex]
___o__o__
o 2)
[tex]A = \frac{1}{2} bh \\ \\ bh = A \div \frac{1}{2} \\ \\ bh = A \times 2 \\ \\ bh = 2A[/tex]
[tex]b = \frac{2A}{h} [/tex]
[tex]h = \frac{2A}{b} [/tex]
I don't know how to do this
Answer:
a) 2x + 3; b) 0
Step-by-step explanation:
Area = [tex]4\pi x^2+12\pi x+9\pi =\pi (4x^2+12x+9)=\pi (2x+3)^2[/tex]
Area = [tex]\pi r^2[/tex]
a) radius r = 2x + 3
b) 2x + 3 > 0
x > -3/2
The least possible integer value of x is 0
Express as a single natural logarithm
In 2 + In 8 - In 4
In 4
In 6
In 64
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \underline{\ln(2)+\ln(8)}-\ln(4)\implies \underline{\ln(2\cdot 8)}-\ln(4)\implies \ln(16)-\ln(4) \\\\\\ \ln\left(\cfrac{16}{4} \right)\implies \ln(4)[/tex]
a room in a bank is shaped like the rectangular prism shown below. the room has a security system that is triggered by two laser beams which stretch from point a to d and point b to c. how many total feet of laser beams are there?
There are 8 laser beams.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The length of the laser beams is the addition of the segments AD to segment CB (which are equal).
Using Pythagoras theorem in ECD
ED² = EC² + CD²
ED= √(12² + 35²)
ED = √144 + 1225
ED = 37 unit
Again In Triangle AED
AD² = EA² + ED²
AD=√15² + 37²
AD = 40 unit
Then, there are total of 80 ft of laser beams.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ7
Find the area of the composite figure.
Answer:
The Area of the composite figure would be 76.26 in^2
Step-by-step explanation:
According to the Figure Given:
Total Horizontal Distance = 14 in
Length = 6 in
To Find :
The Area of the composite figure
Solution:
Firstly we need to find the area of Rectangular part.
So We know that,
[tex]\boxed{ \rm \: Area \: of \: Rectangle = Length×Breadth}[/tex]
Here, Length is 6 in but the breadth is unknown.
To Find out the breadth, we’ll use this formula:
[tex] \boxed{\rm \: Breadth = total \: distance - Radius}[/tex]
According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,
[tex] \longrightarrow\rm \: Length \: of \: the \: circle = Radius[/tex]
Since Length = 6 in ;[tex]\longrightarrow \rm \: 6 \: in = radius[/tex]
Hence Radius is 6 in.
So Substitute the value of Total distance and Radius:
Total Horizontal Distance= 14 Radius = 6[tex] \longrightarrow\rm \: Breadth = 14-6[/tex]
[tex] \longrightarrow\rm \: Breadth = 8 \: in[/tex]
Hence, the Breadth is 8 in.
Then, Substitute the values of Length and Breadth in the formula of Rectangle :
Length = 6Breadth = 8[tex] \longrightarrow\rm \: Area \: of \: Rectangle = 6 \times 8[/tex]
[tex]\longrightarrow \rm \: Area \: of \: Rectangle = 48 \: in {}^{2} [/tex]
Then, We need to find the area of Quarter circle :
We know that,
[tex]\boxed{\rm Area_{(Quarter \; Circle) } = \cfrac{\pi{r} {}^{2} }{4}} [/tex]
Now Substitute their values:
r = radius = 6 π = 3.14[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 6 {}^{2} }{4} [/tex]
Solve it.
[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 36}{4} [/tex]
[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4} [/tex]
[tex]\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9[/tex]
[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \: {in}^{2} [/tex]
Now we can Find out the total Area of composite figure:
We know that,
[tex]\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}[/tex]
So Substitute their values:
[tex]\rm Area_{(rectangle)}[/tex] = 48 [tex]\rm Area_{(Quarter Circle)}[/tex] = 28.26[tex]\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26[/tex]
Solve it.
[tex]\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}} [/tex]
Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
What is the length of the hypotenuse of the right triangle shown below? Type your answer as an integer. A right triangle has two sides of length 3 and 4.
Answer:
5
Step-by-step explanation:
This is the Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
The hypotenuse is c so we need to make c the subject:
[tex]c = \sqrt{a^{2}+b^{2} }[/tex]
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
[tex]c = \sqrt{3^{2} + 4^{2} }[/tex]
[tex]c = \sqrt{9+16}[/tex]
[tex]c = \sqrt{25}[/tex]
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².
What's the area of a triangle whose base has a length of 27 units and whose height is
16 units?
A) 108 square units
B) 144 square units
C) 216 square units
OD) 432 square units
Answer:
216 units^2
Step-by-step explanation:
the formula to calculate area of triangle is 1/2 b×h
so...
[tex] \frac{1}{2} (27) \times (16) \\ = 216 {units}^{2} [/tex]
Answer:
Step-by-step explanation:
144 units^3
50 points!!!!
Type the correct answer in the box use numerals instead of words
Rebecca Hut a circular cake into six slices of equal size each cake slice has an area of 13 in.² what is the radius of Rebecca‘s cake to the nearest whole inch
The cakes radius is ______ inches
Answer:
5 inches
Step-by-step explanation:
Area of the cake:
1 slice = 13 in²6 slices = 13 in² * 6 = 78 in²Area circle: πr²
Solve for r:
78 = πr²r² ≈ 24.84 r ≈ 5-Chetan K
Answer:
The cakes radius is 5 inches.
Explanation:
cake has a circular area. Therefore we will use, area of circle: πr²Here given the cake is cut in six equal size.The area of the slice will be [tex]\frac{1}{6}[/tex](πr²)Steps:
→ [tex]\frac{1}{6}[/tex]πr² = 13
→ πr² = 13(6)
→ πr² = 78
→ r² = [tex]\frac{78}{\pi }[/tex]
→ r = [tex]\sqrt{\frac{78}{\pi }}[/tex]
→ r = 4.982787485
→ r = 5
Therefore the cake has a radius of 5 inches. Do not misunderstand that we are taking slice radius, its the radius of the cake all along.
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
C
Step-by-step explanation:
hope this helps :)
Solve each real-world problem below, showing all of your work. You must state the starting amount and rate of change for each problem. You must also write the linear equation used to solve the problem. The memory card in Carla's camera can hold 1,024 pictures. On April 30th, Carla sees that she has 235 pictures on the memory card. She plans to take 35 pictures each day in the month of May. How many pictures will Carla have on the memory card on May 16th? On what day will the memory card be full?
Carla would have about 795 pictures on May 16th.
Linear equationA linear equation is in the form:
y = mx + b
where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the number of pictures after x days.
At April 30th, Carla sees that she has 235 pictures, hence b = 235. Also, she takes 35 pictures each day, hence m = 35. The equation is:
y = 35x + 235
On May 16th, x = 16 hence:
y = 35(16) + 235 = 795
Carla would have about 795 pictures on May 16th.
Find out more on Linear equation at: https://brainly.com/question/14323743
what is petrification???????????..
Answer:
the process by which organic matter exposed to minerals over a long period is turned into a stony substance.
Step-by-step explanation:
Picture example:
Write an expression for each of the expressions below by combining the like terms: 2y + 7y
9y
(space fillerrrrr)
Review the graph
Thank you
Answer:
f : 8
Step-by-step explanation:
hope that helps sorry if im wrong
Some one please me find the volume for this rectangular prism
Answer:
5/8
Step-by-step explanation:
Please make me the brainlest
An artist designs a sculpture in the shape of a rectangular prism.
The sculpture has a width of x feet. The depth of the sculpture is 6 feet more than the width. The length of the sculpture is 12 feet less than twice the width.
Given the sculpture's volume in cubic feet is 26 times its width in linear feet, what is the length of the sculpture?
Answer: 2
Step-by-step explanation:
took the quiz
The length of the sculpture is 2 feet.
Given information about the sculpture:
Width of the sculpture = x feet
Depth of the sculpture = x + 6 feet
Length of the sculpture = 2x - 12 feet
The volume of a rectangular prism is given by the formula:
Volume = length × width × depth
According to the given information, the volume of the sculpture is 26 times its width in linear feet. Therefore, write the equation as:
Volume = 26 × Width
Volume = 26x
Write the expression for the volume of the sculpture using the dimensions:
Volume = (2x - 12) × x × (x + 6)
Set up the equation:
26x = (2x - 12) × x × (x + 6)
26x = (2x² - 12x) × (x + 6)
26x = 2x³ + 12x² - 12x² - 72x
26x = 2x³ - 72x
Now, rearrange the equation to set it equal to zero:
2x³ - 72x - 26x = 0
2x³ - 98x = 0
2x(x² - 49) = 0
2x = 0
x = 0
And, the value of x is calculated as:
x² - 49 = 0
x² = 49
x = ±√49
x = ±7
Since dealing with dimensions, have a negative value for x.
Therefore, x = 7.
The value of x is 7, find the length of the sculpture:
Length = 2x - 12
Length = 2 × 7 - 12
Length = 14 - 12
Length = 2 feet
So, the length of the sculpture is 2 feet.
Learn more about Sculpture here:
https://brainly.com/question/32190138
#SPJ3
Of 250 seventh grade students, 130 walk to school. What percent of seventh graders do not walk to school? % of seventh graders do not walk to school.
Answer:
48%
Step-by-step explanation:
I like to look at percentages as test grades. If you got a 130/250 on a test, you would simply need to view the dash line as a 'divided by'. So you would figure 130 divided by 250 is .52, or 52%... Then, you would need to subtract 52 from 100 to get 48% to get the percentage of people who do not walk to school.
48%
48% of 250 is 120
120+130=250
HELP IM DESPRITE
Matthew can spend up to $75 on supplies for his garden. The flowers will cost $38 and he wants to spend the rest on bags of top soil. Each bag of top soil costs $6.
How many bags of top soil can he buy?
Answer:
6 bags.
Step-by-step explanation:
Subtract 38 from 75 to represent the remaining amount of Matthew's money.
[tex]75-38=37.[/tex]
Matthew has $37 left over from buying flowers.
Divide 37 by 6 to represent how many bags of soil he can buy.
[tex]37\div6=6\frac{1}{6}[/tex]
Matthew can only buy 6 bags of soil, 1/6 isn't included because you can't buy a fraction of a bag.