Answers
Answer:
3b. [tex]\displaystyle 10; Mental\:Mathematics[/tex]
3a. [tex]\displaystyle \frac{5}{8} \times 16[/tex]
Explanation:
Dividing a mixed number\fraction is in similarity to multiplying its multiplicative inverce, which is what you see in the above answer. However, I did not figure it out this way. I did this:
[tex]\displaystyle \boxed{10} = \frac{5}{\frac{1}{2}} \Rightarrow \boxed{10} = \frac{5}{8} \div \frac{1}{16}[/tex]
Either way is fine, as long as you know what you are doing.
I am joyous to assist you at any time.
Related Questions
one student we wrote the expression 17 * 102 as 17(100+2). then she simplified to get the expression 1700+34.
Answers
Answer:
Step-by-step explanation:
One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.
a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?
Yes, they are.
Check your answer:
17 * 102 = 1734
17(100 + 2)
17(100) + 17 * 2
1700 + 34 = 1734
1700 + 34 = 1734
b. What property of numbers does this demonstrate?
This expression demonstrates the commutative and distributive properties of numbers.
Hope this helps!
5 1/2 divided by 3 1/3
Answers
Answer:
1 13/20
Step-by-step explanation:
5 1/2 ÷ 3 1/3
11/2 ÷ 10/3
11/2 x 3/10 = 33/20
33/20 = 1 13/20
Hope this helps :)
Answer:
17/62 = 0.27419
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
The area of a rectangle is 175 cm. And the width of the rectangle is 5 cm. What's the perimeter of the rectangle?
Answers
Answer:
80cm
Step-by-step explanation:
The area of the rectangle is given by Area = L*W (length, L and width, W).
175 cm^2 = 5*L
L = 35 cm
Perimeter is 2L + 2W
2(35cm)+2(5cm)
70cm + 10cm
Perimeter = 80cm
Evaluate the following, if a=7, b=3, c=2
what is a2 ( two is a exponet )-5bc-1
please hurry.
i'll give you 70 points!
Answers
Answer:
Step-by-step explanation:
a^2 - 5bc - 1
a = 7
b = 3
c = 2
7^2 - 5*3*2 - 1
49 - 30 - 1
18
A family has two children. if b represents a boy and g represents a girl, the set of outcomes for the possible genders of the children is s = {bb, bg, gb, gg}, with the oldest child listed first in each pair. let x represent the number of times g occurs. which of the following is the probability distribution, px(x)? a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.5, 0.25. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.33, 0.33, 0.33. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.75, 0. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0, 0.5, 0.5.
Answers
Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given to us that the possible genders of the children,
S = {BB, BG, GB, GG},
And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,
A.) The probability that there is no girl child born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]
B.) The probability that there is one girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]
C.) The probability that there is two girl child is born,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]
[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]
The probability distribution of a girl child being born can be drawn as given below.
Learn more about Probability:
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Answer:A
Step-by-step explanation:
Students in Ms. Seiko's class recorded the number of books they read over the summer.
books read
7 8 9 10 11 12 13 14 15
Mrs. Vitale's class is the same size as Ms. Seiko's class.
One fourth of the students in Mrs. Vitale's class read 11 books
How many students in Mrs. Vitale's class read 11 books? Enter your answer in the box
students
Answers
44 students in Mrs. Vitale's class read 11 books
Ratio and proportionsLet the number of students that read 11 books in Mrs. Vitale's class be x
If One fourth of the students in Mrs. Vitale's class read 11 books, then
1/4 x = 11 books
x = 11 * 4
x = 44
Hence 44 students in Mrs. Vitale's class read 11 books
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Answer:
Step-by-step explanation:
The total number of students that are plotted on the line plot is 20.
We are given that Mrs. Vitale's class is the same size as Ms. Seiko's class so both classes have 20 students in each.
One fourth of the students in Mrs. Vitale's class read 11 books.
1/4 *20/1 =5 students
what is the area of a heptagon with a side length 15m
Answers
A≈817.63m²
a Side
15
m
a
a
a
P
A
Solution
A=7
4a2cot(180°
7)=7
4·152·cot(180°
7)≈817.6303m²
Select all the expressions that are equivalent to 40% of 90.
Answers
Answer:
36
Step-by-step explanation:
System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answers
Answer:
please mark me as brainlest
Step-by-step explanation:
b is the answers for the question
Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]
Answers
Answer: 7(n + 1)(n - 1)
Step-by-step explanation:
[tex]7n^2-7[/tex]
[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]
[tex]=7n^2-7\cdot \:1[/tex]
[tex]$$ Factor out the common term 7[/tex]
[tex]=7\left(n^2-1\right)[/tex]
[tex]$$ Factor $n^2 - 1[/tex]
[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]
[tex]=n^2-1^2[/tex]
[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]
[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]
[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]
Algebra 1 :
Work must be shown….
write the an equation for linear function f(x) if f(3)=-4 and f(2)=6
Answers
What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
What type of number is -91i?
Choose all answers that apply:
real
imaginary
complex
Answers
Answer:
complex
Step-by-step explanation:
Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
Answers
By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.
How to get the area of the rectangle?
For a rectangle of length L and width W, the area is:
A = L*W
And the perimeter is:
P = 2*(L + W).
In this case, we know that the length is 5ft longer than the width, so we can write:
L = W + 5ft
We also know that the perimeter is 50ft, so we can write:
P = 50ft = 2*(W + 5ft + W)
50ft = 4*W + 10ft
40ft/4 = W = 10ft
So the width is 10 ft, and then the length will be:
L = 10ft + 5ft = 15ft
So the area of the rectangle is:
A = 10ft*15ft = 150 ft^2
She will need 150 ft^2 of flooring.
If you want to learn more about areas, you can read:
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CAN SOMEONE PLEASE HELP
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {4}^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{2}) }^{n} - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{2 {}^{n} - 1}{ {( {2}^{n}) }^{2} - 1} [/tex]
Now we will use this identity in denominator
[ a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{(2 {}^{n} - 1)}}{ {( {2}^{n} }^{} + 1) \cancel{( {2}^{n} - 1)}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 1}{ {( {2}^{n} }^{} + 1) } [/tex]
Answer:
[tex]\sf \dfrac{1}{2^n+1}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{2^n-1}{4^n-1}[/tex]
Rewrite [tex]\sf 4^n[/tex]: [tex]\sf 4^n=(2^2)^n=2^{2n}=(2^n)^2[/tex]
Rewrite 1: 1 = 1²
[tex]\sf \implies \dfrac{2^n-1}{(2^n)^2-1^2}[/tex]
Apply difference of two square formula to the denominator
[tex]\sf a^2-b^2=(a+b)(a-b)[/tex]
[tex]\sf \implies \dfrac{2^n-1}{(2^n+1)(2^n-1)}[/tex]
Cancel out the common factor [tex]\sf 2^n-1[/tex] :
[tex]\sf \implies \dfrac{1}{2^n+1}[/tex]
L1S2
Area - Compound Shapes
Find the area of the shaded region in each figure. Round your answer to 2 decimal
places if required. (Use = 3.14)
PLEASE HELP I WILL MARK BRAINLIEST!
Answers
Answer:
just trust yourself
Step-by-step explanation:
If f(x) = 5x^5 + 1, then what is the remainder when f(x) is divided by x + 1?
Answers
Answer:
2l
Step-by-step explanation:
hence.f10 divido 8-2
Jeff volunteers his time by working at an animal shelter. Each year he works for a total of 240 hours. So far this year he has worked 97 hours. Which equation will solve for how many more hours (h) Jeff will volunteer for?
Answers
Answer: h + 97 = 240
Step-by-step explanation:
Total hours worked per year: 240 hours
Current hours worked so far: 97 hours.
The variable h represents hours
Therefore, h + 97 = 240
If the area of a circular cricket ground is 15,400 m2, then find its circumference. (Take π≈22/7)
Answers
Answer:
440m^2
Step-by-step explanation:
15400/(22/7)=4900, which is r^2, so r=70. Now we can find the circumference by doing 22/7*2*70, which is 440.
Find the radius of the circle:
Area of a circle = pi x r^2
15,400 = 22/7 x r ^2
Divide both sides by 22/7
4900 = r^2
Take the square root of bothe sides:
R = 70
The radius of the circle is 70 meters.
now find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 22/7 x 70
Circumference = 440 meters
answer: 440 meters
In parallelogram GOST, angle G has a measure of 40°
What is the measure of angle T?
Answers
40° + S = 180°
- 40° + 40° + S = 180° - 40°
S = 140°
T = 140°For the holiday blockbuster movie
premier, the Acme theater ran 16
showings for opening day. If each
theater room holds 115 people and each
showing was filled, how many people
viewed the movie on the first day?
A 99 people
B 131 people
c 1,725 people
D 1,840 people
Answers
Answer:
1 theater room holds 115 people, it says that each showing was filled so that means that there were 115 for every 1 showing. There were 16 showings, so you multiply 115 x 16 which equals to 1,840 people.
help please this assignment is do in a few minutes
Answers
Answer:
The answer is C because the ratio 2:5 is equal to 40:100
The scale factor of a figure and its enlargement is 4. what is the new length of the enlarged figure if the original length is 4.5 cm? 4.0 cm 8.5 cm 16 cm 18 cm
Answers
The new length of the enlarged figure will 18 cm.
What is scale factor?A scale factor is a number which scales, or multiplies, the original figure by some quantity.
We have the equation for the scale factor.
Y=Cx
C is a scale factor for x. It is called the constant of proportionality or scale factor of y to x.
As the given length is 4.5 cm, so with a scale factor of 4, the length of the enlarged figure will be
[tex]Y=4.5\times4=18\ cm[/tex]
Therefore, the new length of the enlarged figure will 18 cm.
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HELP DUE TMRW!
The floor plan of a building has a scale of cm to 1 m. A room has an area of
40 cm2 on the floor plan. What is the actual area of the room in square metres?
Answers
Step-by-step explanation:
so, the scale is 1/4 cm to 1 m.
1 m = 100 cm.
1 m² = 100×100 = 10,000 cm²
that means the scaling factor is 0.25/100 = 1/400
(after multiplying with 4/4).
so, every length in reality has to be multiplied by 1/400 to get the length on the plan.
the area of a rectangle is
length × width.
now, applying the scaling factor means that
length×1/400 × width×1/400 = 40
length × width × 1/400×1/400 = actual area × 1/400² = 40
actual area = 40×400² = 6,400,000 cm²
= 6,400,000 / 10,000 = 640 m²
Now suppose you buy a stock for $3,500. It decreases in value by 3% and then rises 8%. To the nearest cent, what is the new value of the stock now?
Answers
The new value of the stock after the percentage decrease and increase is $3666.60.
What is the new value of the stock?Percentage is the fraction of an amount expressed as a number out of hundred. Percentage is a measure of frequency.
Value of the stock after the decrease = (100 - 3) x $3500 = $3395
alue of the stock after the increase = (100 + 8) x 3395 = $3666.60
To learn more about percentages, please check: https://brainly.com/question/25764815
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 787
83, 81, 70, 74
The minimum grade he must get on the last test in order to have an average of 78 is
Answers
Answer:
82
Step-by-step explanation:
The sum of his previous grades were 308. In order to get an average grade of 78, he needs to have a score of 78*5 or 390. His necessary grade minus his current grade is 390 - 308, which is 82. The minimum score the student needs to get on his test in order to have an average of 78 is 82
Answer:
82.
Step-by-step explanation:
The sum of the 5 tests must be 5*78 = 390 for the average to be 78.
So in the last test is grade must be 390 - (83+81+70+74)
= 390 - 308 = 82.
Find the 14th term of the following geometric sequence 1,2,4,8,…
Answers
Answer:
The 14th term is 8,192
Step-by-step explanation:
Well we can see that it is multiplying every next term by 2.
2nd term : 1*2 = 2
3rd term : 2*2 = 4
4th term : 4*2 = 8
So, we can simply carry out this process.
5th term : 8*2 = 16
6th term : 16*2 = 32
7th term : 32*2 = 64
8th term : 64*2 = 128
9th term : 128*2 = 256
10th term : 256*2 = 512
11th term : 512*2 = 1024
12th term : 1024*2 = 2048
13th term : 2048*2 = 4096
14th term : 4096*2 = 8192
The 14th term is 8,192
Answer:
8192
Step-by-step explanation:
The rate is x2. Multiplying to the 14th term gets to 8192.
hope this helps!
x2 + y2 = 100
+
Is a function
Answers
Answer:
Yes, it is...
Step-by-step explanation:
x^2 + y^2 = 100
---This is an equation for a circle.
A circle does not pass the vertical line test, so it is not a function.
Answer: NOT a function
Hope this helps!
Sharon is preparing for a trip to kuwait. she calculates that she will need $1,166 to be converted to kuwaiti dinar. if the exchange rate of us dollars to kuwaiti dinar is 1:0.2879, how many dinar does sharon have? round your answer to two decimal places. a. 335.69 dinar b. 405.00 dinar c. 3,356.91 dinar d. 4,050.02 dinar
Answers
Answer:
335.69
Step-by-step explanation:
If the exchange rate of USD to Kuwaiti Dinar is 0.2879, multiply the amount of USD by the exchange rate to get the answer.
$1,166 x 0.2879 = 335.6914
335.6914 rounded to the nearest hundredth (two decimal places) is 335.69
So, it is A, 335.69 dinar.
335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign : between the numbers.
We have a total amount that will need to convert = $1,166
Exchange rate of us dollars to kuwaiti dinar = 1 : 0.2879
It means $1 converted into 0.2879 dinar
The amount $1,166 in kuwaiti dinar = 1166×0.2879
= 335.69 dinar
Thus, 335.69 dinar Sharon will get in exchange for $1,166 option (a) 335.69 is correct.
Learn more about the ratio here:
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find inverse equation for y=(x-3)^2
Answers
Answer:Rewrite the cartesian equation as a polar equation.
Rewrite the cartesian equation as a polar equation.r
Rewrite the cartesian equation as a polar equation.r2
Rewrite the cartesian equation as a polar equation.r2cos
Rewrite the cartesian equation as a polar equation.r2cos2
Rewrite the cartesian equation as a polar equation.r2cos2(
Rewrite the cartesian equation as a polar equation.r2cos2(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6r
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−r
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9
Rewrite the cartesian equation as a polar equation.r2cos2(θ)−6rcos(θ)−rsin(θ)=−9Tap to view steps...
The quadratic function which is represented by the graph of a Parabola fails the Horizontal Line Test thus is not a one to one function. Therefore the inverse is not a function unless with restricted domain.
Edit: Adding the solution below to address update in the comments:
y
=
(
x
+
3
)
2
x
=
(
y
+
3
)
2
±
√
x
=
y
+
3
y
=
−
3
±
√
x
=> inverse relation
Restricting the domain: Recall that the domain and the range of the inverse function are the range and the domain of the original function respectively. The range of the original function in this case is
y
≥
0
, that should be the domain of the inverse function so for the inverse function we take the positive square root as follow:
f
−
1
(
x
)
=
−
3
+
√
x
=> this is the inverse function the domain and the range are:
domain:
x
≥
0
range:
y
≥
−
3
This means we need to restrict the domain of the original function to:
x
≥
−
3
in order for it to have an inverse function.
Lethna buys some boxes of pens and some packets of pencils.
There are 40 pens in each box. There are 12 pencils in each packet.
Lethna gives one pen and one pencil to each student in Year 7 of her school.
When she has done this she has no pens left and no pencils left.
Work out how many boxes of pens and how many packets of pencils Lethna could
have bought
Answers
Answer:
pen: 3 boxes [pencils : 10 packets
Step-by-step explanation:
40 and 12 4|40/10 12/3 4x3x10=120
pen 120 divided by 40 = 3 boxes
pencils 120 divided by 12 = 10 packets