Answer:
170 pages
Step-by-step explanation:
Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution
The number of pages he read for the first day :
The first day 1/5 of the pages of the book
This is calculated as:
1/5 × 340 pages
= 68 pages
For the second day:
The second 1/4 of what remains to be read
The number of pages remaining after the first day is calculated as:
340 - 68 = 272 pages
Hence, the number of pages read on the second day is
1/4 × 272 pages
= 68 pages
For the third day
One the third day, 1/6 of the rest was read.
The number of pages remaining after the first day is calculated as:
272 - 68 = 204 pages
Hence, the number of pages read on the third day is
1/6 × 204 pages
= 34 pages
Therefore, the number of pages Roberto has to read on the fourth day is calculated as:
340 pages - (68 + 68 + 34)pages
340 pages - 170 pages
= 170 pages
A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?
Answer:
89 if you pay 11$ to go to the museum for Justin 1$
Step-by-step explanation:
100 - 11 = 89.
which statement describes the effect on the parabola y= x^2 -1 when its is changed to y =x^2 +6?
The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.
What is the effect on the parabola?First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:
g(x) =f(x) + N
Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.
In this case, we start with the parabola:
y = f(x) = x^2 - 1
Now we know that the transformed function is:
y = g(x) = x^2 + 6
Now, notice that if we apply a translation upwards of 7 units of the original function we will get:
y = f(x) = x^2 - 1 + 7 = x^2 + 6
We got the transformed function.
Then the effect on the parabola is a translation of 7 units upwards.
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solve for x
i really need help
Answer:
x =10
Step-by-step explanation:
angles are equivalent
170 = 2x + 6x + 90
170 - 90 = 8x +90 - 90
80 = 8x
10 = x
write 7.5^{1.25} as a radical
Answer:
[tex]\sqrt[4]{7.5^{4} }[/tex]
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
Given
[tex]7.5^{1.25}[/tex]
= [tex]7.5^{\frac{5}{4} }[/tex]
= [tex]\sqrt[4]{7.5^{4} }[/tex]
[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].
What are exponent rules?Exponent rules, which are also known as the 'laws of exponents' or the 'properties of exponents' make the process of simplifying expressions involving exponents easier. These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents.
Given
[tex]7.5^{1.25}[/tex]
We can write 1.25 is [tex]\frac{5}{4}[/tex]
[tex]7.5^{\frac{5}{4} }[/tex]
Using the rule of exponents/radicals
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
[tex]7.5^{\frac{5}{4} }[/tex] = [tex]\sqrt[4]{7.5^{5} }[/tex]
[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].
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I don’t understand what to do because this is worded very strangely. Could somebody help?
In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are
summarized in the following table
Is there evidence that college students who don't own a car tend to not live on campus more than students who live on
campus?
A. Yes, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
B. Yes, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
C. No, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
D. No, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
Which of the following lists is in order from least to greatest?
A. -2, 5, 4, 3^2
B. -2, 4, 3^2,5
C. 5,4, 3^2, -2
D. -2, 3^2, 4, 5
Answer:
Are you sure the question is right?
HELP ME PLZ AN DTHANK YOU
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
The measurement of a central angle is θ=240 degrees. Find the measurement of θ in radians.
Answer:
4.189 radians
Step-by-step explanation:
Given data
θ=240 degrees
Let us convert from degrees to radians
Angle in Radian= Angle in degree* π/180
Substitute
Angle in Radian= 240* π/180
Angle in Radian= 4* π/3
Angle in Radian= 4* 3.142/3
Angle in Radian=12.568/3
Angle in Radian=4.189 radians
A spinner has 6 equally divided sections labeled A, B, C, D, E and F. After spinning the spinner, a number cube is rolled. What is the probability that the spinner will land on a consonant and the number cube will land on a number greater than 2?
Answer: [tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given
The spinner has 6 equal sections A, B, C, D, E, and F
The two events occurred one after the other. So, the probability is the product of the probabilities of each event.
There are two consonants in the given 6 letter
The probability of landing over a consonant is
[tex]P_1=\dfrac{2}{6}[/tex]
The number greater than 2 in a cube are 3,4,5,6
So, probability corresponding to it
[tex]P_2=\dfrac{4}{6}[/tex]
So, the required probability is
[tex]\Rightarrow P=P_1\times P_2\\\Rightarrow P=\dfrac{2}{6}\times \dfrac{4}{6}\\\\\Rightarrow P=\dfrac{8}{36}\\\\\Rightarrow P=\dfrac{2}{9}[/tex]
Which of the following cannot be the probablity of an event?
4
9
0-0.7
1.31
4
9
0.00
9
1.00
0.3
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is 4,9,0-0.7,1.31,4,9 and 9.The probability of an event if from 0 to 1.
hope this helps,have a great day!!
~Pinky~
Sixteen percent of videos are shorter than what
length?
The graph shows the distribution of the lengths (in
seconds) of videos on a popular video streaming site.
The distribution is approximately Normal, with a mean
of 264 seconds and a standard deviation of 75
seconds.
O 39 seconds
O 114 seconds
O 189 seconds
O 339 seconds
Streaming Videos
Answer:
189 seconds
Step-by-step explanation:
16% shorter,
Left side first and second group is 2.5% and 13.5% = 16%
189 is the max of that group
16% of videos on the streaming site are shorter than 189 seconds.
To determine the length at which 16% of videos are shorter, we can use the properties of a normal distribution.
Given that the mean length is 264 seconds and the standard deviation is 75 seconds, we can use a Z-score to find the corresponding percentile.
First, we need to find the Z-score associated with the 16th percentile. This can be done using a Z-table or a statistical calculator. The Z-score corresponding to the 16th percentile is approximately -0.9945.
Using the formula for Z-score:
Z = (X - μ) / σ,
where X is the length of the video, μ is the mean, and σ is the standard deviation, we can rearrange the formula to solve for X:
X = Z * σ + μ.
Substituting the values:
X = (-0.9945) * 75 + 264,
X ≈ 189 seconds.
Therefore, approximately 16% of videos on the streaming site are shorter than 189 seconds. So, the correct answer is 189 seconds.
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I literally forgot how to do this plz help ASAP
Answer:
3/8
Step-by-step explanation:
3/10 ÷ 4/5
Copy dot flip
3/10 * 5/4
Rewriting
3 /4 * 5/10
3/4 *1/2
3/8
Answer:
B
Step-by-step explanation:
flip the 4/5 to 5/4 and multiple instead of divide to give you
= 3/10 x 5/4
Multiply denominators and numerators by each other (3 x 5 and 10 x 4) to give you
= 15/40
SImplify and your answer is
= 3/8
Aunt Betty uses oranges and pineapples to make 12 pounds of fruit salad. If oranges weigh 0.5 pounds each and pineapples weigh 2 pounds each, and she uses 21 fruits in all, find the number of oranges and the number of pineapples she uses
define variables and write two equations to model the situation described in the problem
Answer:
pecuniary purveyors organization irreversible
You have a can that is in the shape of a cylinder. It has a volume of about 1,728 cubic centimeters. The height of the can is 22 centimeters. What is the approximate length of the radius? Use 3.14 for pi.
Answer:
v=pi.r^2.h
1728=3.14*22r^2
1728/69.08=r^2
r^2=25.0144
r=5
please help i have no clue how to this any tips appreciated:))
Answer:
[tex] \displaystyle PW = \underline{ \quad18 \quad}[/tex]
Step-by-step explanation:
by tangent property we acquire:
[tex] \displaystyle 3x - 6 = x + 10[/tex]
add 6 to both sides:
[tex] \displaystyle 3x= x + 16[/tex]
cancel x from both sides:
[tex] \displaystyle 2x= 16[/tex]
divide both sides by 2:
[tex] \displaystyle x= 8[/tex]
so,
[tex] \displaystyle PW = 3x - 6[/tex]
plug in the got value of x:
[tex] \displaystyle PW = 3.8 - 6[/tex]
simplify multiplication:
[tex] \displaystyle PW = 24- 6[/tex]
simplify Substraction:
[tex] \displaystyle PW =18[/tex]
hence, The measure of PW is 18 unit
What two numbers equal 6 when multiplied but equal —7 when added?
Answer:
-1 , -6
Step-by-step explanation:
Let x be the first number and let y be the second number.
x * y = 6
x + y = -7
Let's first find the factor pairs of 6.
1, 6
2, 3
-1, -6
-2, -3
Now, we just need to take each factor pair and add them together and see which one equals -7.
1 + 6 = 7, so that is wrong.
2 + 3 - 5, so that is also wrong.
-1 - 6 = -7, so this is our answer (-2 and -3 added is -5, which is wrong).
Therefore, our answer is -6 and -1.
Help me pookie dookie
Answer:
1/4
Step-by-step explanation:
poooooooooooooooooooooooooooooooooooookie doooooooooooooooooooooooooooooooookie
Hey I need help, what is the area of this!
Answer:
12 cm^2
Step-by-step explanation:
Here the base and height of a triangle are given. To find the area, we use the formula A = (1/2)(base)(height), which here is
A = (1/2)(8 cm)(3 cm) = 12 cm^2
Weight/Calories per Day 1000 to 1500 cal. 1500 to 2000 cal. 2000 to 2500 cal. Total 120 lb. 90 80 10 180 145 lb. 143 35 25 203 165 lb. 15 27 75 7 117 Total 140 250 110 500 Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?
A. 0.09
B. 0.12
C. 0.22
D. 0.35
Answer:
its A
Step-by-step explanation:
The probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that:
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
per Day
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
Hence, Total no. of person consumes 2000 to 2,500 calories in a day = 110
And, Total = 500
Now the probability that a person consumes 2,000 to 2,500 calories in a day :
⇒ 110 / 500
⇒ 0.22
Hence the probability that a person consumes 2,000 to 2,500 calories in a day is 0.22.
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WHAT IS THE LENGTH OF AC? ROUND TO ONE DECIMAL PLACE. DONT HAVE TO SHOW WORK helpppp
Answer:
AC ≈ 5.5
Step-by-step explanation:
Angle bisector theorem states that "angle bisector of an angle divides the opposite side into two segments which are proportional to the other two sides of the triangle."
By applying this theorem in the given ΔABC,
AD is the angle bisector of ∠CAB which divides the opposite side of the angle into two segments BD and CD.
Therefore, [tex]\frac{AB}{BD}=\frac{AC}{CD}[/tex]
[tex]\frac{5.1}{4}=\frac{AC}{4.3}[/tex]
[tex]AC=\frac{5.1\times 4.3}{4}[/tex]
AC = 5.4825
AC ≈ 5.5 units
Which equation describes the circle
with center (5,-1) and radius 7?
A (x - 5)' + (y +1)* = 7
B (x - 5)* + (y + 1)* = 49
(x + 5) * + (y - 1) = 7
D(x + 5)' + (y - 1)' = 49
Answer:
B. (x-5)²+(y+1)² = 49
Step-by-step explanation:
An equation of a circle with center (h, k) and radius r is
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7
Substitute these values in
[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]
So the answer is B choice.
help I don’t know the answer
Austin drove 819 miles in 13 hours. At the same rate, how long would it take him to drive 693 miles?
Answer:
11 hours
Step-by-step explanation:
819 miles/13 hours = 63 mph
693 miles/63 mph = 11 hours
please help it's missing and I need to complete it
[tex] = ( - \dfrac{1}{2} ) \times ( - \dfrac{1}{2} ) \times ( - \dfrac{1}{2} ) \\ = ( - \frac{1}{2} ) ^{3} [/tex]
It's done...
Vinny's friend told him that he could earn $49 for delivering newspapers. Vinny
wants to calculate the hourly rate. If he works a total of 3.5 hours, the equation
3.5x = 49 can be used to determine his hourly rate. What would Vinny's hourly rate
be, in dollars?
Answer:
The hourly rate would be 14
Step-by-step explanation:
All you have to do is divide 49 by 3.5, giving you 14 :)
Find the vertex of the parabola y = x2 - x + 5.
Simplify both coordinates and write them as proper fractions, improper fractions, or integers.
Answer:
(1/2, 19/4)
Step-by-step explanation:
So the formula is y=-b/2a.
a= 1
b= -1
Plug in the values to get x=1/2.
you then plug in 1/2 to get the y
you end up with 19/4.
Your vertex ends up as (1/2, 19/4).
hope this helped!!
only answer if you know this if i see a link its a report
∞√5±x+5√15x+∞=
Answer:
the exact form is 2/5. the decimal form is 0.4 ig
Step-by-step explanation:
Answer:
this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving
Step-by-step explanation:
can someone answer this w²+7w-18
Answer:
Using the "AC Method" I got (w - 2) (w + 9)
Step-by-step explanation:
Answer:
(w−2)(w+ 9)
Step-by-step explanation:
Grouping
Step 1:
Use the sum-product pattern
w² + 7 − 18
w² + 9 − 2 −18
Step 2:
Common factor from the two pairs
w²+ 9 − 2 − 18w
( w+ 9) − 2( w+ 9)
Step 3:
Rewrite in factored form
(w + 9) − 2( w+ 9)
(w−2)(w+9)
2. Find the surface area of the cone in terms of pi.
A. 33pi ft
B. 60pi ft
C. 53pi ft
D. 47pi ft
Answer:
I think the answer is C. 53pi ft
Step-by-step explanation:
Which choice correctly describes this event? Every time I flip a coin / will get tails.
A)Certain
B)Impossible
C)Likely
D)Unlikely
Please help ASAP ill give BRAINLIEST
Answer:
D
Step-by-step explanation:
With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.
A is incorrect as it is possible to land heads on any flip.
B is incorrect as there is always a possibility of landing tails on every flip.
C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.
Hence D is the answer.