Final answer:
To determine the page numbers, the product of two consecutive page numbers (n and n+1) was calculated to match 87,912, leading to the solution that Theo's textbook was opened to pages 296 and 297.
Explanation:
To find out to which pages Theo opened his textbook, when the product of the facing pages was 87,912, we should realize that facing pages in books have consecutive numbers. Therefore, if one page is n, the facing page would be n+1. The product of these two pages is n(n+1)= 87,912. We are solving a quadratic equation here.
Starting with an approximation, square roots of numbers near 87,912 can help identify potential page numbers. The square root of 87,912 is a bit less than 300 (since 300² = 90,000). Therefore, one of the page numbers will be just under 300, and the other just above.
Attempting a few calculations, we notice that 296² = 87,616 and 297² = 88,209. Between these two, 296 × 297 = 87,912, giving us the page numbers Theo's book is open to: 296 and 297.
The volume of a cone is 1004.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? (Use π = 3.14.) (1 point) Group of answer choices 64 32 8 4
Answer:
r = 8 inches
Step-by-step explanation:
[tex]\frac{1}{3}\pi r^{2}h=1004.8\\\\\frac{1}{3}*3.14*r^{2}*15=1004.8\\\\3.14*r^{2}*5=1004.8\\\\r^{2}=\frac{1004.8}{3.14*5}\\\\r^{2}=64\\\\r=\sqrt{64}\\\\ r=8[/tex]
What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of 2/3?
Answer:
y = 2/3 x -2
Step-by-step explanation:
We have a point and a slope
y = mx+b
The slope, m, = 2/3
y = 2/3 x+ b
The point is (-6,-6)
Substitute this into the equation to solve for b
-6 = 2/3 (-6) +b
-6 = -4+b
Add 4 to each side
-6+4 = -4+4+b
-2 =b
Substitute into the equation
y = 2/3 x+ b
y = 2/3 x -2
Find the slope (-1,7),(-6,1)
Answer: m = 6/5
Step-by-step explanation:
The Formula to find m is m = y2 - y1 / x2 - x1.
So for this problem I did 7 - 1 / -1 - (-6) which would equal 6/5.
A bottle holds 24 ounces of water. It has x ounces of water in it. Write an equation to represent this situation. Remember: An equation needs to have an equal sign and a variable (letter) to represent the unknown amount.
Answer:
x=24
Step-by-step explanation:
The bottle has 24 ounces of water in it. Then it said it had x ounces in it. So that's very easy, x=24 because they are equal. :D
Answer:
im pretty sure it is x=24 because the x value is the ounces. The bottle holds 24 ounces of water. In the bottle how many? Answer is x=24
Step-by-step explanation:
PLEASE HELP ASAP
2(x+10)+5(4x-11)
Answer:
22x - 35
Step-by-step explanation:
Expand 2(x+10)
2x+20
Expand 5(4x-11)
20x-55
Simplify:
22x-35
Answer:
0.24
Step-by-step explanation:
1. you have to distributive property all
2(x+10)+5(4x-11)
2.You have to subtract the x
2x+10+20x+55
3. you have to subtract the natural number
20+18x-55
4. you have to divide
75/18x
then the answer is 0.24
How many seconds will it take the object to reach the ground?
It will take approximately 5.05 seconds for the object to reach the ground.
Explanation:In order to determine how long it will take an object to reach the ground, we need to consider the height from which the object is dropped. Let's assume the height is 75.0 m.
The time it takes for an object to fall to the ground can be calculated using the equation t = sqrt(2h/g), where t is the time, h is the height, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Plugging in the values, t = sqrt(2 * 75.0 / 9.8) = sqrt(150 / 9.8) ≈ 5.05 seconds.
Therefore, it will take approximately 5.05 seconds for the object to reach the ground.
The students in Marly’s math class recorded the dimensions of their bedrooms in a frequency table.
2-column table with 5 rows. First column labeled area (square feet) with entries 60 is less than or equal to A is less than 80, 80 is less than or equal to A is less than 100, 100 is less than or equal to A is less than 120, 120 is less than or equal to A is less than 140, 140 is less than or equal to A is less than 160. Second column labeled number of rooms with entries 4,6,5,3,1.
Create a histogram to represent the data. Which statement is most likely true about the mean and the median of the data?
The histogram is right-skewed, so the mean is less than the median.
The histogram is right-skewed, so the mean is greater than the median.
The histogram is left-skewed, so the mean is less than the median.
The histogram is left-skewed, so the mean is greater than the median.
Answer:
The histogram is right-skewed, so the mean is greater than the median.
Step-by-step explanation:
The true statement about the mean and the median of the data is that: B. histogram is right-skewed, so the mean is greater than the median.
What is a histogram?A histogram refers to a type of chart that is used to graphically represent and display a set of data points into user-specified ranges, especially through the use of bars (rectangles).
Based on the distribution table, we can deduce the following points:
The frequencies of the bedroom areas are not equal.The frequencies of the first three bedroom areas are greater than the last two (2) areas, which implies that there would be more data on the left side.This ultimately implies that, the distribution of data on the histogram is right-skewed and as such the mean is greater than the median.
Read more on histogram here: brainly.com/question/21304143
Please help me now plz
I will mark you brainliest
Answer:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
Anna is asked to find a common multiple of 9 and 29. Which number could be the multiple?
Answer:
261
Step-by-step explanation:
LCM(9, 29)
= 3 × 3 × 29
= 261
Answer: The Greatest Common Multiple is 1 and the Least Common Multiple is 261
Step-by-step explanation:
Marco has 1/5 of his clothes in the laundry. What percent of his clothes are in the laundry
Answer:
20%
Step-by-step explanation:
1/5=.2
.2*100=.20%
Jermaine is ordering a piece of glass in the shape of a trapezoid to create a patio table top. Each square
foot of glass costs $25. The trapezoid has base lengths of 5 feet and 3 feet and a height of 4 feet. What is
the cost of the glass?
Answer:
$400
Step-by-step explanation:
1) we need to find area of trapezoid first
area of trap formula:( (b1+b2)/2)h
b1=5
b2=3
h=4
(5+3)/2=4
4*4=16
there are 16 square feet in thtat trapezoid
hence, 25*16= $400
the glass cost $400
Answer:
$400
Step-by-step explanation:
Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?
9514 1404 393
Answer:
$240,000
Step-by-step explanation:
Let f represent Mr. Sanford's fortune.
1/2x went to April, so 1/2x remains.
1/2(1/2x) = 1/4x went to Jed, so 1/2x -1/4x = 1/4x remains.
1/2(1/4x) = 1/8x went to charity, so 1/4x -1/8x = 1/8x remains.
That remaining 1/8x was $30,000, so the total amount of Mr. Sanford's fortune was ...
8 × $30,000 = $240,000
A high school track is shaped as a rectangle with a half circle on either side. A rectangle has a length of 96 meters and width of 35 meters. 2 semicircles with diameters of 35 meters are on each end of the rectangle. Jake plans on running four laps. How many meters will Jake run? Use 3.14 for Pi. 301.9 m 823.6 m 1,207.6 m 1,647.2 m
Answer:
C
Step-by-step explanation:
Answer:
your anwser is C
Step-by-step explanation:
btw i cant spell lol
Write the equation x2=7x in standard form.
Answer:
i believe it's x2-7x=0
Step-by-step explanation:
To write the equation x^2 = 7x in standard form, subtract 7x from both sides and rearrange the terms in descending order of exponents.
Explanation:The equation x^2 = 7x is a quadratic equation. To write it in standard form, we need to move all the terms to one side and set the equation equal to zero.
Subtracting 7x from both sides, we get x^2 - 7x = 0.
Next, we rearrange the terms in descending order of exponents: x^2 - 7x = 0.
Learn more about Quadratic equations here:https://brainly.com/question/34196754
#SPJ3
A gaming console that is $300 plus 8% tax. What is the final cost of the console? (Round to the nearest cent)
Answer: $324.00
Step-by-step explanation:
Convert 8% to decimals. You can do this by dividing by 100
[tex]\frac{8}{100}=0.08[/tex]
Calculate 8% of 300 (0.08*300) and add 300 (+300)
[tex]0.08(300)+300\\24+300\\324[/tex]
The ratio of girls to boys is 3 to 4. If there are 48 boys, how many girls are there?
40
Chandler needed 10 gallons of gas last week. This week, Chandler ended up needing 60% more than that amount.How much gas is that
Answer:
16 gallons total
Step-by-step explanation:
60% of 10 is 6
6 plus the original 10 is 16
Please make me the brainliest
Answer:
16
Step-by-step explanation:
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?
Answer:
What drawing???
Step-by-step explanation:
85 out of 350 books in the library are about Mysteries.
What percent of the books are Mystery books?
A baby elephant can weigh 170 pounds at birth. Approximately how many kilograms is this?
Answer:
77.1107
Step-by-step explanation:
for an approximate result, divide the mass value by 2.205
hopefully this help's
Answer:
170lbs = 77.1107
Step-by-step explanation:
1lb=0.453592
Which decimal is equivalent to the fraction 115?
Answer:
115 is not a fraction, but it's 1.15 if you meant 115%
Over 44% of the 30 students in a class read a
book last month. What are the possible numbers of students in the class
who read a book last month? Justify your answer.
Answer:
I got 13.2 but you could probably round it to 13.
Step-by-step explanation:
44 percent *30 =
(44:100)*30 =
(44*30):100 =
1320:100 = 13.2
The possible number of students in the class who read a book last month is 13 students
Let the total number of students that read the book last month be xIf over 44% of the 30 students in a class read a book last month, hence;
44% of 30 = x
0.44 * 30 = x
Simplifying the expression
x = 13.2
Hence the possible number of students in the class who read a book last month is 13 students
Learn more on percentages here: https://brainly.com/question/22603224
What is the probability of tossing 3 heads in a row when flipping a coin?
Answer:
0.125
Step-by-step explanation:
Assuming the coin is fair (most coins are not completely fair) and that the person flipping is not able to control the tosses (some people can) then the chance is 0.125. On each flip, the chance is 1/2. The combination is simply the product of three tosses, since the events are independent.
Hope this helped!♥
Which leader was initially an adviser to Davis?
o Abraham Lincoln
© George McClellan
© Robert E. Lee
Answer:
Robert E. Lee
Step-by-step explanation:
Answer:c
Step-by-step explanation:
Knowing that, on a dice, the sum of the numbers of points marked on opposite sides is 7. What are the missing points?
Answer:
How many of those ways have opposite face sums equal? ... Are there other ways we can number the dice as well? ... As you probably know, there are exactly five Platonic solids: the tetrahedron, cube, octahedron, ... On a normal 6-sided die, opposite faces add up to 6 + 1 = 7: 1 and 6, 2 and 5, 3 and 4
Step-by-step explanation:
trust me its right and can you be nice enough to mark me as brainliest
The points on opposite sides of a dice whose sum is 7 are: 1 and 6, 2 and 5 & 3 and 4
Explanation:
The missing points on a dice where opposite sides add up to 7 are:
1 and 6
2 and 5
3 and 4.
how many ways can a team of 6 volleyball players be chosen from a roster of 12 players
1 way
is this like a trick question lol
peter had 140 candies. he kept 28 candies for himself and gave the rest away. What percentage of his candies did he give away?
You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius has its center at the tree. If the corner of your porch is the origin and forward is the positive y direction, what equation represents the circle formed by the fence in your yard?
Answer:
[tex](x+4)^2+(y-5)^2=9[/tex]
Step-by-step explanation:
If the corner of your porch is the origin
4 ft to the left, x=-45 ft in front, y=5The tree's location is at (-4,5).
A circular fence 3 ft in radius has its center at the tree(-4,5).We want to determine the equation of a circle with center (-4,5) and radius 3 ft.
The equation of a circle center (h,k) with a radius of r is given as:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h,k)=(-4,5), r=3
The equation formed by the fence therefore is:
[tex](x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9[/tex]
NEED HELP ESTIMATING!!
kale= 1 oz
carrots=4 oz
potatoes= 4 oz
beets=2 oz
Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina liked the button so much she produced a campaign poster, which measures 5 feet by 4 feet. What scale factor did Gina use to make the poster from the button?
Answer:
24:1
Step-by-step explanation:
To find the scale used to make the poster we just need to find the ratio between the poster and the button, and we do this by dividing the length and width of the poster by the length and width of the button.
So, we have that:
ratio = length poster / length button = 5 feet / 2.5 inches = 2 feet to 1 inch
ratio = width poster / width button = 4 feet / 2 inches = 2 feet to 1 inch
if 1 foot is equal 12 inches, we have a ratio of 2*12 inches to 1 inch = 24 to 1 (24:1)