Step-by-step explanation:
the first 9 pages have 1 digit (1 to 9).
the next 90 pages have 2 digits (10 to 99).
that is in total
9×1 + 90×2 = 189 digits.
that leaves us
459 - 189 = 270 digits for pages with 3 digit page numbers (100 and up).
there are 900 pages with 3 digit page numbers = 2700 digits, which is larger than 270.
so, the solution must be in this interval (there are no pages with 4 digit page numbers like 1000).
after how many pages with 3 digit pages numbers do we have a total of 270 digits ?
270/3 = 90 pages.
so, we have 9 + 90 + 90 = 189 pages in the book.
In order to evaluate energy demand for heating services, the number of heating degree days are calculated. The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day. If the high temperature for a day was 51°F and the low temperature for the same day was 45°F, what is the number of heating degree days? A. 14 B. 113 C. 17 D. 48
Answer:
The number of heating degree days is 17 (option c).
Step-by-step explanation:
You know that the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.
You know that the high temperature for a day was 51°F and the low temperature for the same day was 45°F.
The mean, also called the average or arithmetic mean, is a measure of central position. In general, the average is calculated by adding all the figures or values presented and dividing them by the total number of values. So, in this case, the average of the high and low temperatures for the day is:
[tex]\frac{51 F + 45 F}{2}= 48 F[/tex]
The number of heating degree days can be calculated by:
H= 65°F - 48°F
H= 17 °F
The number of heating degree days is 17 (option c).
A skydiver was directly above a ferris wheel when he jumped out of the plane. His friend was watching at the landing field and looking up at the airplane at an angle of 50°. The friend’s eyes were 5.5 feet above the ground when looking up, and he was standing 1050 ft from the ferris wheel. How high was the skydiver when he jumped?
Using the slope concept, it is found that the skydiver has at a height of 1257 ft when he jumped.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem:
The vertical change is of x - 5.5, in which x is the skydiver's height.The horizontal change is of 1050 ft.The angle is of 50º.Hence:
[tex]\tan{50^\circ} = \frac{x - 5.5}{1050}[/tex]
[tex]x - 5.5 = 1.19175359259 \times 1050[/tex]
[tex]x = 1257[/tex]
The skydiver has at a height of 1257 ft when he jumped.
More can be learned about the slope concept at https://brainly.com/question/18090623
What is the volume of this rectangular prism?
Answer:
[tex]57,600cm {}^{2} [/tex]
Solving steps:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
=> 40 cm[tex] {}^{2} [/tex] × 30cm[tex] {}^{2} [/tex] × 48 cm[tex] {}^{2} [/tex]
multiply all the numbers
=> 57,600cm[tex] {}^{2} [/tex]
Hi hi hi hi
Answer:
[tex]57,600cm {}^{2} [/tex]
Solving steps:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
=> 40 cm × 30cm × 48 cm
multiply all the numbers
=> 57,600cm[tex] {}^{2} [/tex]
Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben’s apple pies is ____.
Answer:
4:3 for 4 cups of butter there are 3 cups of water
Step-by-step explanation:
do not delete bc i need help
Replace n and m with their given values and solve:
4 + 6(7) = 4 + 42 = 46
Answer: 46
Answer:
46
Step-by-step explanation:
Evaluate the expression [tex]n+6m[/tex] if [tex]m=7[/tex] and [tex]n=4[/tex].
First, replace the variables with their corresponding values.
[tex]n+6m[/tex]
↓
[tex]4+6(7)[/tex]
Now, solve.
According to PEMDAS, we have to do the paratheses and multiplication first.
[tex]6(7)=6*7\\6*7=42[/tex]
Now add 4 and 42.
[tex]4+42=46[/tex]
The solution to the equation is [tex]46[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Helpppp meeee question 1 pleaseee !!!
Answer:
2 0 -2 -4
Step-by-step explanation:
pls give brainliest
Answer:
2,0,-2,-4
Step-by-step explanation:
For example
-2 x -3 = 6
6 - 4 = 2
-2 x -3 - 4 = 2
-2x - 4
Dave and Bonnie each made a
table of values for the equation
y = 1/2x - 2 Dave said his table
is correct. Bonnie said her
table is correct. Who is
correct? Explain your answer.
ILL PUT YOU AS BRAINLIEST
Answer:
Both tables are correct.
Step-by-step explanation:
The equation given is y = [tex]\frac{1}{2}[/tex] x - 2. When you replace x with each value given from Dave's table, the y values will be those given.
-4 = [tex]\frac{1}{2}[/tex] (-4) - 2
-3 = [tex]\frac{1}{2}[/tex] (-2) - 2
-2 = [tex]\frac{1}{2}[/tex] (0) - 2
-1 = [tex]\frac{1}{2}[/tex] (2) - 2
When you use the values given in Bonnie's table, the equations are also all true.
0 = [tex]\frac{1}{2}[/tex] (4) - 2
2 = [tex]\frac{1}{2}[/tex] (8) - 2
4 = [tex]\frac{1}{2}[/tex] (12) - 2
6 = [tex]\frac{1}{2}[/tex] (16) - 2
An angle measures 66° more than the measure of its complementary angle what is the measure of each angle
Answer:
The measures of the two angles are 12° and 78°
Step-by-step explanation:
Let us explain what is the complementary angles
Two angles are complementary if the sum of their measures is 90°
Example:
If m∠x + m∠y = 90°, then
∠x and ∠y are complementary angles
Let us solve the question
Assume that the measure of one of the complementary angle is x°
∵ The measure of its complementary is 66° more than it
∴ The measure of its complementary = x + 66
∵ The sum of the measures of the complementary angles is 90°
∴ x + 66 + x = 90
→ Add the like terms in the left side
∴ 2x + 66 = 90
→ Subtract 66 from both sides
∴ 2x + 66 - 66 = 90 - 66
∴ 2x = 24
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}=\frac{24}{2}[/tex]
∴ x = 12°
→ Substitute the value of x in the second angle to find x
∵ The measure of the other angle = 12 + 66
∴ The measure of the other angle = 78°
∴ The measures of the two angles are 12° and 78°
Answer:
12 and 78
Step-by-step explanation:
Let us explain what is the complementary angles
Two angles are complementary if the sum of their measures is 90°
Example:
If m∠x + m∠y = 90°, then
∠x and ∠y are complementary angles
Let us solve the question
Assume that the measure of one of the complementary angle is x°
∵ The measure of its complementary is 66° more than it
∴ The measure of its complementary = x + 66
∵ The sum of the measures of the complementary angles is 90°
∴ x + 66 + x = 90
→ Add the like terms in the left side
∴ 2x + 66 = 90
→ Subtract 66 from both sides
∴ 2x + 66 - 66 = 90 - 66
∴ 2x = 24
→ Divide both sides by 2
∴
∴ x = 12°
→ Substitute the value of x in the second angle to find x
∵ The measure of the other angle = 12 + 66
∴ The measure of the other angle = 78°
∴ The measures of the two angles are 12° and 78°
The slope of the line passing through the points (-2,6) and (4,6) is
Answer:
0
Step-by-step explanation:
Can someone please answer the attachment
Answer:
See below.
Step-by-step explanation:
20. YES
21. NO
22. NO
23. NO
what is the slope of a line passing through the points (-7,-2) and (5,-6)
Answer:
-4/12
Step-by-step explanation:
This is true because what you do is y2-y1 over x2-x1 and you get uyour answer easily
Jane paid $40 for an item after she received a 20% discount. Jane's friend says this means that the original price of the item was $48.
Answer: she is wrong
Answer: her friend was wrong
Step-by-step explanation:
Jane’s friend found that 20% of 40 is 8. Then she added $8 to the sale price: 40 + 8 = 48. Then she determined that the original amount was $48.
b. Is her friend correct? Why or why not?
Jane’s friend was incorrect. Because Jane saved 20%, she paid 80% of the original amount, so that means that 40 is 80% of the original amount.
0 20% 40% 60% 80% 100%
0 10 20 30 40 50
what is 20+60x50/80.2=??
Answer:
57.4064837905
Step-by-step explanation:
MATH
HELP ASAP
Slwoowownjjsaaasmjazzjssj
Answer:
14
Step-by-step explanation:
hwjdjdjjdhdjdjdkdkskslslsksjdjdndndndkdkdlddo
PLEASE HELP ME!!! An equation of the line tangent to the graph of y = 2x+3/3x-2 at the point (1,5) is
Answer: 13x + y = 18
Step-by-step explanation: 13x + y = 18 is equal to y = -13x + 18.
The derivative is y' = -13/3x-2^2.
With the derivative, you get -13 for slope and plug it in to get y - 5 = -13x + 13.
Move it around and you get 13x + y = 18.
Hope this helps!
We want to find the equation of the tangent line to a given point in a given function.
The correct option is B: 13*x + y = 18
So we want to find the equation of the tangent line to the function.
[tex]y = \frac{2x + 3}{3x - 2}[/tex]
at the point (1, 5).
To get the slope of that line, we need to evaluate the derivate of the function in the x-value of the point, the derivate of the function will be:
[tex]y' = \frac{2}{3x - 2} - 3*\frac{2x + 3}{(3x - 2)^2}[/tex]
Now we evaluate this in the x-value of the point, which is x = 1.
[tex]y' = \frac{2}{3*1 - 2} - 3*\frac{2*1 + 3}{(3*1 - 2)^2} = -13[/tex]
Then the line will be something like:
y = -13*x + b
To find the value of b, we use the fact that the line must pass through the point (1, 5). This means that when x = 1, we have y = 5.
Replacing that in the line equation we get:
5 = -13*1 + b
5 + 13 = b
18 = b
Then the equation of the line is:
y = -13*x + 18
Or, rewriting it.
13*x + y = 18
So the correct option is B.
If you want to learn more, you can read:
https://brainly.com/question/23265136
Find the value of the variable in the parallelogram.
RZ = 4x+8
SW=9x - 11
x=. (Simplify your answer.)
PLEASE HELP NEEDED ASAP WILL GIVE BRAINLIEST IF RIGHT!!! (GEOMETRY)
Find the measures of the complementary angles that satisfy each case. The angles have equal measure.
Answer:
it is 26 smaller or 64 bigger
Step-by-step explanation:
Answer:
need more information to solve..
An art collector buys a replica of a famous sculpture. The replica has exactly the same shape as the original but is smaller. The replica is 25 cm tall, and the original sculpture is 30 cm tall. If 500 cm of bronze was needed to make the replica, how much bronze was needed to make the original sculpture?
Answer:
600cm³
Step-by-step explanation:
30/25=1.2
1.2×500=600
Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 5 CDs a month to her collection. Find the number of months after which they will have the same number of CDs.
Group of answer choices
2 months
33 months
1 month
3 months
Answer: 3
Step-by-step explanation:
1.)3.3÷0.3=
I need help to slove this answer
3.3 ÷ 0.3
3.3 = 33/10
0.3 = 3/10
33/10 ÷ 3/10 = 11
Eric think you are cutting board is 10 inches long and 8 inches wide. What is its area ? ASAP PLS
Answer:
80 inches
Step-by-step explanation:
10 x 8 = 80
PLS HELPPPP equation of the line that is parallel to the line y − 3x = 4 and passes through the point (0, −3)
Answer:
y = 3x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y - 3x = 4 ( add 3x to both sides )
y = 3x + 4 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c
The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3
y = 3x - 3 ← equation in slope- intercept form
A pack of cinnamon scented pencils sell for $4.00 what is the sales tax rate if the total cost of the pencils is $4.32
Answer:
8%
Step-by-step explanation:
To get the answer we can use proportion. We know that 4$ its 100% and 4.32 its 100% + taxes.
4$ ---------- 100%
4.32 -------- x
cross multiply now
4x=4.32*100%
4x=432% /:4
x=108%
We know that 4.32 its 100% + taxes=108% so to get taxes we have to subtract 108-100.
108%-100%=8% - its the answer.
Answer:
8%
Step-by-step explanation:
$4 represents the sale price
4.32 - 4 =$ .32 represents the sale tax
Tax rate is the percentage $ .32 out of $4.
4 is 100%
.32 is x%
Cross multiply to find x, and divide by 4
x= (.32·100) / 4
x = 8
The tax rate is 8%.
please help determine if these are functions and explain why or why not
Answer:The first is a function but the second isn’t.
Step-by-step explanation: The numbers in the first circle (domain) should only point to one number in the second circle (range). Meaning the domain should only have one arrow for it to be a function. Therefore the first problem is a function, but the second problem is not. For
example, in the first problem, the 0 is only pointing to one number, the 2. However, in the second problem the 6 is pointing to two different numbers, the 3 and the 5. -Let me know if this helps you or if you want me to explain it more. Hope this helps! :)
I swear, my brain can’t process how this go at all. Someone pls help T^T
Can anyone helps me with this question. Look at the numbers ; 2,8,7,6,8,3,8. Find the
Mean
Median
Mode
Range
Answer:
1. Mean:
6
2. Median:
7
3. mode:
8
range:
6
Explanation:
Mean:
To find the mean you must add all the digits and divide them by the number of numbers there.for eg: 1,4,6,5,4
The number of numbers there is 5 so I added these numbers and divide them by 5.
Median:
To find the median you must arrange all the numbers in order and find the middle number eg: 1,2,3,4,5
The middle number is 3 as u can see there
Mode:
In the mode, you find the number that appears the most.
for eg: 1,3,3,4,5
The number appearing here the most is the 3
Range:
you minus the highest number from the lowest number
eg: 1,2,3,4,5
5-1 is 4 so the answer for the range is 4
Select the correct answer in each of the following
Answer:
A, A and A
Step-by-step explanation:
Given
y = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
The graph here is a maximum, thus a < 0 → A
--------------------------------------------------------------------
The value of c is the y- intercept of the graph ( when x = 0 )
Since the y- intercept is below the x- axis then c < 0 → A
--------------------------------------------------------------------
The solutions to the equation are where the graph crosses the x- axis ( y = 0 )
Since the graph crosses the x- axis to the left of the y- axis, then
both solutions are negative → A
what's the answer?????????????????????????????
Answer:
answer is 248/21
Step-by-step explanation:
u should multiply the mixed numbers together.
ur welcome:)
What is the missing reason in the following proof?
Given: BC=AD, AB=DC
Prove: BE=ED
Answer:
bc=ad
Step-by-step explanation:
James knows that when he walks, he takes about 120
120
steps per minute and that each step is 2.75
2.75
feet long. Which calculation is most reasonable for James to use to find out his walking speed in miles per hour?
Answer:
speed of James is: 3.75 miles/hour.
Step-by-step explanation:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
[tex]19800feet=\frac{19800}{5280} miles=3.65miles[/tex]
hence speed of James= (distance covered by james in 1 hour)/1 hour
speed of James=3.75 miles/hour.
Thanks!!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Answer:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
19800feet=\frac{19800}{5280} miles=3.65miles19800feet=
5280
19800
miles=3.65miles
hence speed of James= (distance covered by james in 1 hour)/1 hour