Answer:
12 books read per student
Step-by-step explanation:
1000 divided by 82 is close to 12
Answer:
12 books
Step-by-step explanation:
Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".
Step 1: Divide 1000 by 82
[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]
Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.
Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number
[tex]12.1951219512 \\= 12[/tex]
Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.
A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?
Answer:
The distance between the two towns is of 1000 km.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
We have that:
3 cm represents a distance of 400 km.
What is the distance represented by 7.5 cm?
3 cm - 400 km
7.5 cm - x km
Applying cross multiplication:
[tex]3x = 400*7.5[/tex]
[tex]x = \frac{400*7.5}{3}[/tex]
[tex]x = 1000[/tex]
The distance between the two towns is of 1000 km.
√4x²-20x+25=5-2x
HELP PLEASE!!! P.S the entire equation 4x²-20x+25 is under the square root
Answer:
The equal is valid for x≤ 5/2
Step-by-step explanation:
sqrt(4x²-20x+25)=5-2x
Square both sides
(sqrt(4x²-20x+25))^2=(5-2x)^2
Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2
(4x²-20x+25)=25-20x+4x^2
The left side is equal to the right side
We need to check for extraneous solutions
The break point is 5-2x =0
5 =2x
x =5/2
Check x < 5/2
Let x=0
sqrt(4x²-20x+25)=5-2x
sqrt(25)=5
True
Check x=5/2
sqrt(4x²-20x+25)=5-2x
sqrt(4(25/4)-20*5/2+25)=5-2(5/2)
sqrt(25-50+25)=5-5
0=0
True
Check x>5/2
Let x=10
sqrt(4x²-20x+25)=5-2x
sqrt(4*100-20*10+25)=5-2*10
sqrt(400-200+25)=5-20
sqrt(225) = -15
15 does not equal -15
False
The equal is valid for x≤ 5/2
A store has two different coupons that customers can use. One coupon gives the customer $35 off their purchase, and the other coupon gives the customer 35% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost in dollars) and outputs the cost after applying the "$35 off" coupon, and let g be the function that inputs a cost in dollars) and outputs the cost after applying the "30% off" coupon.
Required:
What is correctly represents the fact that the cost of purchasing $190 worth of goods is $98 when the "30% oft" coupon is applied first followed by the "$35 off" coupon?
Answer:
h(x)=f[g(x)]=0.7x-35
Step-by-step explanation:
In this case function f, which inputs a cost and outputs the cost after applying the $35 off coupon looks like this:
f(x)=x-35
where x is the cost of the purchase. In this case we are subtracting the $35 from the cost x.
Function g, which inputs a cost and outputs the cost after applying the 30% off coupon looks like this:
g(x)=x-0.3x
g(x)=0.7x
in this case we are subtracting 30 percent of the cost from the cost of the purchase.
So in order to find a function that represents the cost of the purchase when first applying the 30% coupon and then the $35 coupon we will need to get a composite function f(g(x)). Which means we need to substitute function g(x) into the f(x) function so we get:
h(x)=f[g(x)]=(0.7x)-35
or:
h(x)=0.7x-35
We can prove this function works when plugging x=$190 in so we get:
h(190)=0.7(190)-35
h(190)=133-35
h(190)=98
A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10.2 hours per week. Is the amount of time greater than that for this year
Answer:
mu = the population true mean time spent by teenagers playing computer game this year
Step-by-step explanation:
Dear student, there is no much information given to answer this question but we will try as much as possible to explain (what is the parameter) of the true mean.
In 1990s;
μ = 10.2 hours/week
From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.
In this situation, the population parameter is the population true mean mu = the population true mean.
I need help please!!!
Answer:
Option D would be the correct answer!
Hope this helps!
what is the equivlalent expression of 4 plus 4 plus 4 plus 4 plus 4 plus 4 plus 4
Answer:
4x7
Step-by-step explanation:
4x7=28
4+4+4+4+4+4+4=28
--Answer--
4 x 7 = 28
4 + 4 = 8 <- x 3 + 4 = 28
or splitting it up in some way.
Ive been stuck on this problem for an hour, help pleaseee.
The graph of the function is given below. Give all y-intercepts and x-intercepts shown.
Answer:
y intercept: [tex]y = 1[/tex]
x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]
Step-by-step explanation:
Given
The attached graph
Solving (a): The y intercepts
This is the point where [tex]x = 0[/tex]
From the attached graph, [tex]x = 0[/tex] when
[tex]y = 1[/tex]
Hence, the y intercept is 1
Solving (b): The x intercepts
This is the point where [tex]y = 0[/tex]
From the attached graph, [tex]y = 0[/tex] when
[tex]x = -1[/tex] and [tex]x = -3[/tex]
Hence, the x intercept are -1 and -3
LOts of points pls help me
Answer:
Solution given:
l=12in
b=2.7in
h=9.8in
Volume=l*b*h=12*2.7*9.8=317.52in³
nearest measurement is 324in³
option C.324in³ is a required answer.
Answer:
Question:Which of the following volume measurements is the best estimate for the figure above? Round each measurement to the nearest whole number to get your estimate.
A. 360 in³
B. 300 in³
C. 324 in³
D. 216 in³
Answer :C. 324 in³✓Step-by-step explanation:
We're provided with a Cuboid with L = 12 in ,B = 2.7in & H = 9.8 in where,
L = Length of the cuboidB = Width of the cuboidH = Height of the cuboidand we're asked to Find the volume of the solid .
To find the volume of the given cuboid , we'll use the formula to find the volume of cuboid
[tex] \huge\fbox\pink{Area}\huge\fbox\green{=} \huge\fbox\blue{L}\huge\fbox\purple{B}\fbox\green{H} [/tex]
Inserting the value of L,B & H in the above formula
12×2.7×9.8We get
Area↬317.52 in³Estimating it to the nearest no. ,we get 324 in³-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
The sum of a number and 4 is equal to -43. Find the number
Answer:
the number is -47..
Step-by-step explanation:
let the number be'x'
x+4= -43x= -43-4x= -47hope it helps.
stay safe healthy and happy.[tex]\huge\bold{Given :}[/tex]
✎ Sum of two numbers = -43
✎ One of the number = 4
[tex]\huge\bold{To\:find :}[/tex]
✿ The other number.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
❥ Let the other number be [tex]x[/tex].
❥ As per the question, we have
[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]
[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
In a year study found that the 7 billion people in the world 6 billion have cell phones how many people live without access for that year
Answer:
1 billion
Step-by-step explanation:
there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.
Working out:
7 -6=1
pls help ASAP!! person with correct answer will be marked brainliest
Answer:
41.8°
Step-by-step explanation:
Opposite angles are equal.
Answer:
41.8 degrees
Step-by-step explanation:
They are vertical angles, meaning they are the same, just opposite one another.
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
The name of polygon is SRVUT.
What is Polygon?In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.
and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.
Here, the polygon will have name:
VRSTU
RSTUV
STUVR
TUVRS
UTVRS
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The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.
Answer:
1 = 100% probability that a person will wait for more than 33 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean waiting time is 55 minutes and the variance of the waiting time is 11.
This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]
Find the probability that a person will wait for more than 33 minutes.
This is 1 subtracted by the p-value of Z when X = 33. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]
[tex]Z = -6.63[/tex]
[tex]Z = -6.63[/tex] has a p-value of 0.
1 - 0 = 1
1 = 100% probability that a person will wait for more than 33 minutes.
brainliest for answer
Answer:
what is the question?
Step-by-step explanation:
Answer:
i answered
Step-by-step explanation:
Quesion is in picture
Answer:
answe is option 3 is currect ans
Answer:
(x + 1)(x + 2
________
2
Step-by-step explanation:
Good luck.
Sum of 4x^3+6x^2+2x^2-3 and 3x^3+3x^2-5x-5 is
9514 1404 393
Answer:
7x^3 +11x^2 -5x -8
Step-by-step explanation:
Combine like terms.
(4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)
= 7x^3 +11x^2 -5x -8
_____
Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...
(4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)
= 7x^3 +9x^2 -3x -8
PLease help!! Will mark brainliest for right answer!! NO LINKS
Let f(x)=10/x−4 . What is the average rate of change of f(x) from 2 to 8 ?
Enter your response as a decimal.
Answer:
[tex]f(x) = \frac{10}{x} - 4 \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(\frac{10}{8} - 4) - ( \frac{10}{2} - 4)}{2} \\ = \frac{ \frac{ - 11}{4} - 1}{2} \\ = \frac{ \frac{ - 15}{4} }{2} \\ = - \frac{15}{8} [/tex]
Assets Liabilities
Checking and Savings $275
Owe $415 on graduation items
Rare Baseball Cards $210 Borrowed $50 from mom
Check for work done for a neighbor $19
This is a list of Karen's assets and liabilities.
What is her net worth?
$1
$39
$275
$294
Answer:
Step-by-step explanation:
$39
The net worth should be considered as the $39.
Calculation of the net worth;We know that
Net worth = Total assets - total liabilities
here,
total assets = checking & savings + baseball card + check for work done
= $275 + $210 + $19
= $504
And, the total liabilities = owe + borrowed
= $415 + $50
= $465
So, the net worth be
= $504 - $465
= $39
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Determine the length of CD.
Question 13 options:
A)
10.77 units
B)
3.74 units
C)
6.32 units
D)
9.17 units
Answer:
The answer is 6.32
Step-by-step explanation:
According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.
CD= Altitude
CD^2= 4 times 10
or
CD= The square root of 4 times 10
Square root of 4 times 10 is 6.3245553203
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.
What are Similar figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
In ΔBDC and ΔABC, the two angles are given,
∠D = ∠C = 90°
∠B = ∠B {Common}
Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,
CB / AB = CD / AC = DB / CB
Now, the ratio can be solved as,
CB / AB = DB / CB
CB / 14 = 10 / CB
CB² = 14 × 10
CB = √140
Further, in triangle ABC using the Pythagorean theorem, we can write,
AB² = CB² + AC²
14² = (√140)² + AC²
196 - 140 = AC²
AC = √56
Again, using the ratio of the similar triangle, we can write,
CD / AC = DB / CB
CD / √56 = 10 / √140
CD = (√56 × 10)/√140
CD = 6.32 units
Hence, the length of CD is 6.32 units.
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write an equivalent expression for 3/5x + 2/5 + 3/5x
please i will give brainliest
Answer:
= 3/5(x) + 3/5(x) + 2/5
= 6/5(x) + 2/5
= 2/5 (3x+1)
Step-by-step explanation:
Answer: [tex]\frac{6}{5}x + \frac{2}{5}[/tex]
This is the same as writing (6/5)x + 2/5
===================================================
Explanation:
Ignore the fraction [tex]\frac{2}{5}[/tex] for now.
The other terms will combine together since they are like terms. We'll add those terms to get:
[tex]\frac{3}{5}x+\frac{3}{5}x\\\\\left(\frac{3}{5}+\frac{3}{5}\right)x\\\\\frac{3+3}{5}x\\\\\frac{6}{5}x\\\\[/tex]
Then we tack on the [tex]\frac{2}{5}[/tex] we ignored earlier to get the final answer of [tex]\frac{6}{5}x+\frac{2}{5}[/tex]
Find each quotient.
494 ÷ 95 =
136.8 ÷ 24 =
96.9 ÷ 19 =
43.2 ÷ 8 =
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.425 or 5.4
Step-by-step explanation:
hope this helps :)
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.4
Step-by-step explanation:
you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.
how to expand (3x-4y)^6
please help asap!!!!
Answer:
Hello! answer: 585
Step-by-step explanation:
This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...
15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!
a bookstore sells 9 books for $90. Which table represents the relationship between number of books and the total price?
Answer:
Step-by-step explanation:
Answer:
Table B
first find cost of 1 book
cost of 1 book=$90/9
=$10
now cost cost of 10 books
cost of 11 books=$10*10
=$100
cost of 11 book =$10*11
=$110
Step-by-step explanation:
since the cost of 10 and 11 books match in table B ,it is the correct answer
(CHILL REMINDER) I know it's difficult right now, and I know you want to give up, but now isn't the time to give up. *Everything is going to be okay, I promise.*
We are here to help you...
Join Pastel Wardrobe on Roxxxblox to enter our virtual cruise and giveaways!
Answer:
thanx for the reminder
Step-by-step explanation:
have a wonderful day :)
Jake studied
z
hours for a big test. Julie studied half as long.
Write an algebraic expression for long Julie studied.
Answer:
(1/2)z
Step-by-step explanation:
Laura uses 3 yards of fabric to make 2 skirts. She uses the same amount of
fabric to make each skirt. At this rate, what is the total amount of fabric, in
yards, she needs to make 6 skirts?
Answer:
9 yards
Step-by-step explanation:
3 yards make 2 skirts
2x3=6
3x3=9
9 yards make 6 skirts
What is the perimeter of rectangle J K L M
Step-by-step explanation:
you could count the squares around the shape or you could do it by points
For example point M is (2,3)
L is (6,3)
We want to find the length of this side so we subtract the x values
6 - 2 = 4 units
that gives use the length of that leg and since a rectangle is symmetrical, you can just measure 2 sides
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.