Answer:
5 7/12
Step-by-step explanation:
7/4 + 1/6 +x = 15/2
Lowest Common denominator =12
21/12 + 2/12 + x = 90/12
23/12 +x= 90/12
x= 90-23 = 67/12 = 5 7/12
Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out
Answer:
The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Amount of fliers the volunteers gave for a political campaign = 21/38
Remaining 612 were given out in another neighborhood
2. What is the total number of fliers they gave out?
x = Total of fliers
21x/38 = Fliers given out in the first neighborhood
612 = Fliers given out in the second neighborhood
Let's solve for x, this way:
x - 21x/38 = 612
38x - 21x = 612 * 38 (38 is the Lowest Common Denominator)
17x = 23,256
x = 23,256/17
x = 1,368
The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.
Note: Same answer to question 14676213, answered by me yesterday.
Which values of p are solutions to the inequality shown? Check all that apply.
|18 – 2p| > 8
–10
–5
0
5
10
15
To find the values of p that satisfy |18 - 2p| > 8, we solve two separate inequalities, leading to the solutions p < 5 and p > 13. Hence, among the options provided, -10, -5, and 15 are the correct solutions.
Explanation:To solve the inequality |18 – 2p| > 8, we need to consider two cases because the absolute value measures distance from zero on a number line, either in the positive or negative direction.
Case 1: 18 - 2p > 8First, we solve the inequality when the expression inside the absolute value is positive:
18 - 2p > 8-2p > -10p < 5Case 2: 18 - 2p < -8Next, we solve the inequality when the expression inside the absolute value is negative:
18 - 2p < -8-2p < -26p > 13Combining the solutions from both cases, the values of p that satisfy the original inequality are p < 5 and p > 13. Among the given options, -10, -5, and 15 are the values that are solutions to the inequality.
Final answer:
The values of p that satisfy the inequality |18 - 2p| > 8 are p < 5 and p > 13; therefore, from the given options, -10 and -5 are the correct solutions.
Explanation:
The student needs to determine which values of p satisfy the inequality |18 – 2p| > 8. To solve this, we consider two separate cases because the absolute value function defines a piecewise function. The two cases are when the expression inside the absolute value is positive and when it is negative.
For the first case (18 - 2p > 0), we solve 18 - 2p > 8, which simplifies to -2p > -10, and upon dividing by -2 and flipping the inequality sign, we get p < 5. For the second case (18 - 2p < 0), we solve -(18 - 2p) > 8, which simplifies to -18 + 2p > 8, leading to 2p > 26, and upon dividing by 2, we get p > 13.
Therefore, the solution to the original inequality consists of all the values p < 5 and p > 13. Checking the provided options against these conditions, only -10 and -5 fall within p < 5, so they are the solutions to the inequality.
What is the area of a regular hexagon with a side length of 5in and an apothem of 4.33in?
Answer:
64.95
Hope this helps :-)
A store makes a profit of $15 on a wallet, after a mark up of 60%, what is the selling priceof the wallet?
To find the selling price of the wallet after a 60% markup and a profit of $15, we need to calculate the original price of the wallet and add the profit to it. The original price of the wallet is $25 and the selling price is $40.
Explanation:To find the selling price of the wallet, we need to first find the original price of the wallet before the markup. Let's call the original price 'x'. Given that the store makes a profit of $15 on a wallet after a markup of 60%, we can write the equation:
x + 0.6x = x + $15
Simplifying the equation, we get:
1.6x = x + $15
0.6x = $15
x = $15 / 0.6
So, the original price of the wallet is $25.
The selling price of the wallet is the original price plus the profit, which is $25 + $15 = $40.
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5/6*2/3
9/10*5/18
4/5*3/4
2/3*5/1
To multiply fractions, you multiply numerator with numerator and denominator with denominator
In other words: a/b*c/d=(a*c)/(b*d)
So 1st one is (5*2)/(6*3) which is 10/18 or 5/9 simplified
2nd one is (9*5)/(10*18) which is 45/180 or 1/4 simplified
3rd one is (4*3)/(5*4) which is 12/20 or 3/5 simplified
4th one is (2*5)/(3*1) which is 10/3 or 3 1/3 if you want a mixed number
Hope this helped!
Answer:
Number one is 5/9
Number two is 1/4 that is the reduced fraction
Number three is 3/5 that is the reduced fraction
Number four is 3 and 1/3
Step-by-step explanation:
2xp + 3y = 10
Solve for x
Answer:
x=5p-3/2py
Step-by-step explanation:
Im not entirely sure on this answer.
Your goal is to isolate x. So first subtract 3y on both sides resulting in 2xp=10-3y. Then u divide each side by 2p to get x by itself to get x=5p-3/2py.
factorise x squared - 4x
Answer:
[tex]x(x-4)[/tex]
Step-by-step explanation:
Factor [tex]x[/tex] out of [tex]x^2[/tex]
[tex]x[/tex]·[tex]x[/tex] [tex]-4x[/tex]
Factor [tex]x[/tex] out of [tex]-4x[/tex]
[tex]x[/tex]·[tex]x[/tex]+[tex]x[/tex]·[tex]-4\\[/tex]
Factor [tex]x[/tex] out of [tex]x[/tex]·[tex]x[/tex]+[tex]x[/tex]·[tex]-4\\[/tex]
[tex]x(x-4)[/tex]
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Find the area of the figure. If needed, round to the nearest tenth.
Isosceles trapezoid
7ft
6
ft
14 t
a. 63 sq.ft
b. 27 sq.ft
49 sq.ft
d. 126 sq.ft
Answer:
63 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where a and b are the parallel bases and h the perpendicular height
Here a = 7, b = 14 and h = 6, thus
A = [tex]\frac{1}{2}[/tex] × 6 × (7 + 14) = 3 × 21 = 63 ft²
A little girl stands on a carousel and rotates around the ride 6 times. if the distance between the little girl and the center of the carousel is 8 feet, how many feet did the little girl travel?
Answer:
301.44 feet.
Step-by-step explanation:
Given: Distance between the girl and the center of the carousel is 8 feet.
Girl stands in a carousel and rotates around the ride 6 times.
We know the radius if carousel is 8 feet.
Now, finding the circumference of carousel to find the area covered in one rotation of carousel.
Circumference= [tex]2\pi r[/tex]
⇒ Circumference= [tex]2\pi \times 8[/tex]
∴ Circumference= [tex]16\pi[/tex]
As given, carousel rotated 6 times.
Length covered in 6 rotation of carousel= [tex]6\times 16\pi[/tex]
⇒ Length covered in 6 rotation of carousel= [tex]96\pi[/tex]
Taking, π = 3.14
⇒ Length covered in 6 rotation of carousel= [tex]96\times 3.14[/tex]
∴Length covered in 6 rotation of carousel= [tex]301.44\ feet[/tex]
Hence, 301.44 feet travelled by little girl in a Carousel.
The little girl traveled approximately 301.62 feet.
To find the distance the little girl traveled on the carousel, we need to calculate the circumference of the circle and then multiply by the number of rotations.
The formula for the circumference of a circle is:
C = 2 × π × r
where r is the radius. Here, the radius r is 8 feet.
C = 2 × π × 8
C = 16π
So, the circumference is approximately 50.27 feet (since π ≈ 3.14).
Since the girl rotates around the carousel 6 times:
Total Distance = Number of Rotations × Circumference
Total Distance = 6 × 50.27
Total Distance ≈ 301.62 feet
Therefore, the little girl traveled approximately 301.62 feet.
Molly makes cookies. She can make 2.5 batches in 1.75 hours. How many batches can she make per hour?
Answer:
Therefore she make 1.43 batches per hour.
Step-by-step explanation:
Given, Molly can make 2.5 batches in 1.75 hours.
Therefore she make [tex]=\frac{2.5}{1.75}[/tex] batches=1.43 batches per hour.
If h(x) =(fog)(x) and h(x) = 3(x+2)^2, find one possibility for f(x) and g(x)
[tex]f(x)=3x^2 \\ \\ g(x)=x+2[/tex]
Explanation:In this case we have the composition of two function called [tex]f(x)[/tex] and [tex]g(x)[/tex] that results in another function [tex]h(x)[/tex]. So:
[tex]h(x) =(f\circ g)(x)[/tex]
Another way to write this function is:
[tex]h(x)=f(g(x)) \\ \\ So \ g(x) \ becomes \ the \ domain \ of \ f[/tex]
One possibility for [tex]f(x)[/tex] and [tex]g(x)[/tex] is:
[tex]f(x)=3x^2 \\ \\ g(x)=x+2[/tex]
Because [tex]h(x)=f(g(x))[/tex] is:
[tex]h(x)=3(x+2)^2[/tex]
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Solve for x.
x + 0.60(15) = 0.80(x + 15)
Answer:
x = 15
Step-by-step explanation:
write the inverse of the statement below. if you are over 18 then you can vote
Answer:
whats the statement
Step-by-step explanation:
Final answer:
The inverse statement is 'If you cannot vote, then you are not over 18,' but practical exceptions exist. The 26th Amendment ensures those over 18 have the right to vote, illustrating the importance of voting as a democratic right. Encouraging voter registration and participation among eligible citizens is crucial for maintaining a vibrant democracy.
Explanation:
The inverse of the statement 'If you are over 18 then you can vote' would logically be 'If you cannot vote, then you are not over 18'. However, this inversion doesn't always hold true in practice due to various voting laws and conditions, such as registration requirements and citizenship. The right to vote is a fundamental aspect of democracy, emphasized by constitutional amendments and various voting rights acts that seek to protect this privilege. For instance, the 26th Amendment to the U.S. Constitution, ratified on March 23, 1971, prohibits the denial of the right to vote for U.S. citizens eighteen years of age or older based on age.
To encourage political participation, it is vital for eligible citizens to register to vote and exercise their right. This act of voting allows individuals to have a say in how their government is run and who represents their interests. Discussions about lowering the voting age further, to include 16 and 17-year-olds, in local, state, or national elections have sparked debates about civic engagement and the readiness of younger citizens to participate in the electoral process.
7h - 5(3h - 8) = -72
Answer:
h = 14
Step-by-step explanation:
7h - 5 (3h - 8) = -72
7h - 15h + 40 = -72
-8h + 40 = -72
-8h = -112
h = 14
Answer:
14
Step-by-step explanation:
7h-5(3h-8)=-72
7h-15h+40=-72
-8h+40=-72
-8h=-72-40
-8h=-112
8h=112
h=112/8
h=14
Find the sum and difference of 147, 167 and 204, 107.
To find the sum, add the numbers together. To find the difference, subtract the smaller numbers from the larger numbers.
Explanation:To find the sum of 147, 167, 204, and 107, simply add the numbers together:
147 + 167 + 204 + 107 = 625
To find the difference, subtract the smaller numbers from the larger numbers:
204 - 147 = 57
167 - 107 = 60
Therefore, the sum is 625 and the differences are 57 and 60.
Write a cosine function for the graph.
a.
y= 4 cos 2theta
c.
y= -4 cos 2theta
b.
y= 4 cos theta/2
d.
y= -4 cos theta/2
Answer:
Correct answer: y= 4 cos 2theta
Step-by-step explanation:
The Cosine Function
The general form of the cosine is
[tex]Y=A.cos(w\theta+B)[/tex]
where A is the amplitude, w is the angular frequency and B is the phase shift
The amplitude is the positive top value of the sinusoid or the most negative value. Since the sinusoid goes from -4 to 4, the amplitude is 4, thus
[tex]Y=4cos(w\theta+B)[/tex]
To find B and w, we use two points from the graph (0,4) and [tex](\pi/4,0)[/tex]:
[tex]4=4cos(w\times0+B)[/tex]
Simplifying
[tex]1=cosB[/tex]
Thus B=0
Now for the second point
[tex]0=4cos(w\times \pi/4)[/tex]
Or equivalently
[tex]\displaystyle \frac{\pi w}{4}=\frac{\pi}{2}[/tex]
Thus
w=2
Then, the cosine function is
[tex]Y=4cos2\theta[/tex]
Correct answer: y= 4 cos 2theta
the jellybean jar has a radius of 4.8 cm and a height of 11.8 cm. what would be a reasonable lower limit for the number of jelly beans in the jar
Answer:
[tex]\large\boxed{\large\boxed{100}}[/tex]
Explanation:
This question comes with four answer choices:
10,000100,0001001You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.
The jellybean jar is cylindrical, Thus, its volume is [tex]\pi \times radius^2\times height[/tex]
To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:
[tex]Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3[/tex]
The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):
[tex](2cm)^3=8cm^3\approx10cm^3[/tex]
Hence, a reasonable lower limit for the number of jellybeans in the jar is:
[tex]1,000cm^3/10cm^3=100[/tex]
To find a reasonable lower limit for the number of jelly beans in a jar with a radius of 4.8 cm and height of 11.8 cm, you can calculate the volume of the jar to be approximately 272 cm^3. Assuming the volume of a jelly bean to be approximately 1 cm^3, you can estimate the jar might hold at least 272 jelly beans.
Explanation:To calculate a reasonable lower limit for the number of jelly beans in the jar, a good starting point could be to calculate the volume of the jar and then consider the volume of a single jelly bean. Let's assume a jelly bean has an approximate volume of 1 cm^3 (though they can be bigger or smaller).
Given that the jar is cylindrical, we can calculate its volume using the formula for the volume of a cylinder: πr^2h, where r is the radius and h is the height. Here, radius = 4.8 cm and height = 11.8 cm.
Applying the values, we have: volume = π(4.8)^2 *11.8 = ~271.64 cm^3.
Dividing this volume by the volume of a single jelly bean gives us a rough estimate of the number of jelly beans that can fit in the jar. So, 271.64 cm^3 /1 cm^3 = 271.64, so roughly 272 jelly beans could be a reasonable lower limit, but you might be able to fit more depending on their actual size and how tightly they can pack together.
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Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify ( 6 x − 2 ) 2 ( 0 . 5 x ) 4 . Show your work.
Answer:
[tex]\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}[/tex]
Step-by-step explanation:
We want to simplify:
[tex](6x-2)^2(0.5x)^4[/tex]
We expand to get:
[tex](36x^2-24x+4)*\frac{x^4}{16}[/tex]
We expand further to get:
[tex]\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}[/tex]
Plot the following points on the coordinate plane
(4 1/2, -2 1/2), (-3.5, 0.5), ( 0,-4)
Anyone have an answer this is study island Coordanate planes
Answer:
The points are plotted in the graph attached.
Step-by-step explanation:
The points are plotted in the graph attached.
if the quotient of 890 and 5 is decreased by 88 what is the difference
Answer:
90
Step-by-step explanation:
890÷5=178
178-88=90
Answer:
90
Step-by-step explanation:
890/5=78
178-88=90
90 = difference
The data set shown represents the total fee for miles
traveled on a toll road. Use the information to complete
the statements.
There are observed toll fee values.
It costs $ to travel 76 miles.
The predicted value for traveling 30 miles is $
Answer:
(Options 2,2,3)
There are 6 observed toll fee values.
It costs $3.40 to travel 76 miles.
The predicted value for traveling 30 miles is $1.61.
Answer:
There are 6 observed toll fee values.
It costs $3.40 to travel 76 miles.
The predicted value for traveling 30 miles is $1.61.
Step-by-step explanation:
Round 2342 to the nearest hundred.
Answer:
2300
Step-by-step explanation:
The answer is 2300: first we need to know what we need to round the answer up to, because we need to round it up to hundred, we need to look at the number in the unit below it. So because we need it to the nearest hundred we look at the number in the tens. If the number is 0-4 we round down, if the number is between 5-9 we round up, because the number is 4 we round 2342 down to 2300. When we round down the number stays the same, if we round up we increase the number by 1. So the answer is 2300.
15 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the value of the expression shown below? 3 + (2 + 8)2 ÷ 4 × 1 over 2 to the power of 4
Answer:
The given expression is
[tex]3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16})[/tex] = 3.3125
Step-by-step explanation:
The given expression is
[tex]3 + (\frac{(2+8)2}{4} \times(\frac{1}{2} )^4)= \hspace{0.3cm}3 +( \frac{10 \times 2}{4}\times \frac{1}{2^4} ) \hspace{0.3cm} = \hspace{0.2cm} 3 + ( \frac{5}{16})[/tex] = 3.3125
Answer:6 1/8
and i took the same test
Ann thought of a number N, multiplied it by 5 and added 7. Then she told the result R to Jim. Write a formula that will tell you the value of R for any value of N. Using the previous formula, write the formula that could help Jim guess Anne’s number N as soon as he is given the value of the result R
Answer:
[tex]R=5N+7[/tex]
[tex]\displaystyle N=\frac{R-7}{5}[/tex]
Step-by-step explanation:
Equations
The relation between the number thought by Ann (N) and the final result (R) can be expressed as
[tex]R=5N+7[/tex]
So if for example, Ann thought in the number N=12, then
[tex]R=5\times 12+7=67[/tex]
If we know the value of R, it's easy to find back the value of N by solving the equation
[tex]R=5N+7[/tex]
subtracting 7 on each side
[tex]R-7=5N[/tex]
Dividing by 5
[tex]\displaystyle N=\frac{R-7}{5}[/tex]
So, if Ann tells Jim that R = 52, he can guess her number is
[tex]\displaystyle N=\frac{52-7}{5}[/tex]
[tex]N=9[/tex]
The formula for r, the value Jim hears, for any given value of n (Ann's number) is: r = 5n + 7
This formula breaks down as follows:
5n: This represents Ann multiplying n by 5.
+ 7: This represents Ann adding 7 to the result of multiplying n by 5.
r: This represents the final value, which Jim hears.
Therefore, by plugging any value of n into this formula, you can calculate the value of r that Jim would hear.
The table below represents Bree's trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree's house to the library?
The distance in miles from the house to the library is 8 miles.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Time to the library from home is d/6 hours
The time spend to reach home from the library is d/12 hours
Hence, the equation is;
d/6 +d/12 = 2 hours
Solving the equation:
2d+d= 24
3d=24
d=24/3 =8
Hence, the distance from the home to the library is 8 miles.
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please help me i’m confused
Yo sup??
SA of the composite figure=SA of all the faces
=2*20*5+6*20+(6*20-6*12)+2*6*5+2*12*4+6*12+2*4*6
=200+120+120+60+96+48
=644 cm^2
Hope this helps.
Due: Wednesday, February 5, 2020 at 11:59 pm
Submit A
The students at Gregori were having a vote to decide on a new color. 5/8 of the students voted for blue. 5/9
of the remaining students voted for green. 48 students voted for red. How many students voted for blue and
green?
180 students voted for blue and 60 students voted for green
Solution:
Let "x" be the total number of votes
From given,
[tex]\frac{5}{8}[/tex] of the votes were for blue
[tex]Blue\ votes = \frac{5}{8}x[/tex]
Therefore,
[tex]Remaining = 1 - \frac{5}{8}x = \frac{8x-5x}{8} = \frac{3x}{8}[/tex]
Given that,
5/9 of the remaining students voted for green
So we get,
[tex]Green\ votes = \frac{3x}{8} \times \frac{5}{9} = \frac{5x}{24}[/tex]
[tex]Green\ votes = \frac{5x}{24}[/tex]
So we have now accounted for 5/8 (blue) + 5/24 (green) of the votes
Therefore,
[tex]Remaining = 1-(\frac{5x}{8} + \frac{5x}{24}) = 1 -(\frac{15x+5x}{24})= 1 -\frac{20x}{24} = \frac{24x-20x}{24}\\\\Remaining = \frac{4x}{24}\\\\Remaining = \frac{1x}{6}[/tex]
48 students voted for red
Therefore, remaining 1/6 votes for 48
Let "x" be the total number of votes
Then we can say,
1/6 of "x" is equal to 48
[tex]\frac{1}{6} \times x = 48\\\\x = 48 \times 6\\\\x = 288[/tex]
Number of votes for Blue:
[tex]Blue\ votes = \frac{5}{8} \times x = \frac{5}{8} \times 288\\\\Blue\ votes = 180[/tex]
Number of Green votes:
[tex]Green\ votes = \frac{5}{24} \times x = \frac{5}{24} \times 288\\\\Green\ votes = 60[/tex]
Thus 180 students voted for blue and 60 students voted for green
V= 512^2/3* 19683^1/3*256^1/4
Answer:
V=512^2/3* 19683^1/3*256^1/4 = 6912
Step-by-step explanation:
V= [tex](512^{\frac{2}{3} } ) \times (19683^{\frac{1}{3} } )\times (256^{\frac{1}{4} } )\\[/tex]
As
[tex]2^{9} = 512\\2^{8} = 256\\19683^{\frac{1}{3} } = 27\\[/tex]
putting values in equation
V= [tex]2^{9(^{\frac{2}{3} } )} \times 27 \times 2^{8^({\frac{1}{4}) } } \\[/tex] let it be equation 1
As
[tex]2^9^{\frac{2}{3} } = 2^6 according\,to\,exponential\,rule\\2^8^\frac{1}{4} = 2^2 according\,to\,exponential\,rule\\\\[/tex]
putting values in equation 1
[tex]V= 2^6\times 27\times 2^2[/tex]
According to exponential rule [tex]2^6 \times 2^2 = 2^8[/tex]
V=[tex]2^8 \times 27\\[/tex]
[tex]V=256\times 27\\V=6912[/tex]
So
V= 6912
Keywords: Algebra
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PLZZZZ HELP ASAP! Identify the LIKE terms and constants, if any, in the following expression: 8x - 3y + 5x - 2 *
Answer:
8x and 5x are like terms and the constant is 2 because it is by itself.
Step-by-step explanation:
Hope my answer has helped you and if not I am sorry.
A technician charges $25 per hour plus $50 for a house call to repair home computers. Make a table and a graph to show the cost for one, two, three, and four hours of home computer repair service. Is there a direct variation?
Answer:
Step-by-step explanation:
1= 75
2=100
3=125
4=150
For every extra computer repair they have to pay an extra 25$