Answer:
Yes
Step-by-step explanation:
Initially it is provided that out of a total of 72 people 60 planned to vote for Jenny. This ratio as percentage shall be = [tex]\frac{60}{72} \times 100[/tex] = 83.33%
Later on the number of seniors polling in the survey increased to 80.
Now, out of 80 seniors, 56 planned to vote for Jenny.
In the percentage form this shall be
[tex]\frac{56}{80} \times 100 =[/tex] 70%
Thus, there is a change of 83.33% - 70% = 13.33%
This shall be considered a significant drop as it is more than 10% in an audience size of less than 100.
-61 times the difference between a number and 56 is equal to the number plus – 28.
Solve the equation for z. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.
Answer:
1722/31 or 55.55
Step-by-step explanation:
We need to write an equation.
-61( z - 56 ) = z - 28
-61z + 3416 = z - 28
-61z + 61z + 3416 = z + 61z - 28
3416 = 62z - 28
3416 + 28 = 62z - 28 + 28
3444 = 62z
3444/62 = 62z/62
3444/62 = z
Since 3444/62 isn't a whole number let's reduce
3444/2 = 1722 62/2 = 31
1722/31 is our reduced fraction
Plug it into a calculator 55.5483 but rounded to two decimal places is 55.55
The sum of five times a number, and 1, is equal to four times the number
I need help with the
translation part!
Answer:
5x + 1 = 4x
You can really put any letter for "a number":
5n + 1 = 4n
Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)
Answer:
log7(x-2)
Step-by-step explanation:
Use of property: log(ab) = log(a) + log(b)
log7(x²+5x−14)−log7(x+7) = log7(x+7)(x-2) - log7(x+7) =log7(x+7) + log7(x-2) - log7(x+7) = log7(x-2)Which two numbers does 128 lie between on a number line?
Answer:
So the answer is:
127 and 129
which number line shows the solution to -3-{-1}?
Answer:
please send the picture of the number line.
Answer:me not know
Step-by-step explanation:
Hehuehuejejejje
Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?
Answer:
5/136
Probability is the chance of an event happening.
Probability = (Favorable outcome)/(total outcome)
P(r and n) = 2/17 × 5/16
=(2 × 5)/(17 × 16)
= 10/272
= 5/136
Answer:
5/136, or about 3.68%
Step-by-step explanation:
There are 17 total books on the bookshelf and only two of them are reference books, so the probability that you randomly grab a reference book is 2 out of 17, or 2/17.
Now that you took out a reference book (and did not put it back) there are 16 books on the bookshelf and you know five of them are nonfiction. That means the probability of getting a nonfiction book on your second grab is 5/16.
To find the probability that both of these events happen, you multiply the two fractions together.
2/17 x 5/16 = 10/272, which can reduce to 5/136, or about 3.68%
Determine the scale factor for a circle with radius 9 in. to a circle with diameter 24 in. Type your answer as a fraction.
Answer:
bhhhhhhhhhhhhhhhhbhbhb
Step-by-step explanation:
3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The scale factor of a circle to another is the ratio of their radii
Radius of the first circle = 9 in
Diameter of the second circle = 24 in
Radius = Diameter / 2
Radius of the second circle = 24 / 2
Radius of the second circle = 12 in
Scale factor = (Radius of the first circle) / (Radius of the second circle)
Scale factor = 9/12
Scale factor = 3/4
Hence, 3/4 is the scale factor for a circle with radius 9 in to a circle with diameter 24 in.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ2
Perform the indicated operation. y^2 + 3y-10/3y+15 divided (10-5y)
Answer:
-1/15
Step-by-step explanation:
(y^2+3y-10)/(3(y+5)) / (5(2-y))
-----
Factor::
[(y+5)(y-2)/(3(y+5))] / (-5(y-2))
--------------
Cancel (y+5) and (y-2) to get::
= -1/15
-43 times the difference between a number and 74 is equal to the number plus - 64.
Answer: -43( n - 74) = n + (-64)
Step-by-step explanation:
The statement can be represented by the equation
-43( n - 74) = n + (-64) where n is the number
Answer:
[tex]\huge\boxed{-43(n-74)=n+(-64)}\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]
Step-by-step explanation:
[tex]n-\text{a number}\\\\\text{the difference between a number and 74}:\ n-74\\\\\text{-43 times the difference between a number and 74}:\ -43(n-74)\\\\\text{the number plus - 64:}\ n+(-64)\\\\\text{The equation}:\\\\-43(n-74)=n+(-64)[/tex]
[tex]solution[/tex]
[tex]-43(n-74)=n+(-64)\qquad/\text{use the distributive property}\\\\(-43)(n)+(-43)(-74)=n-64\\\\-43n+3182=n-64\qquad/\text{subtract 3182 from both sides}\\\\-43n=n-3246\qquad/\text{subtract}\ n\ \text{from both sides}\\\\-44n=-3246\qquad/\text{divide both sides by (-44)}\\\\n=\dfrac{-3246}{-44}\\\\n=\dfrac{3246:2}{44:2}\\\\\boxed{n=\dfrac{1623}{22}=73\dfrac{17}{22}}[/tex]
What is the answer for 29+n=13
Answer:
n=-16
Step-by-step explanation:
Answer:
n = - 16.............
................
The coordinates of the point 3/10 of the way from A to B are _
Answer:
(-1, -4.8)
Step-by-step Explanation:
Let the point be P, which is 3/10 of the way from A to B. This means, it divides P into AP and PB in the ratio, 3:10 = AP/PB = 3/10.
Apply the formula for internal division to find the coordinates which is given as:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(-4, -8) = (x_1, y_1) [/tex]
[tex] B(9, 6) = (x_2, y_2) [/tex]
[tex] m = 3, n = 10 [/tex]
Plug in the necessary values to find x and y coordinates for point P
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{3(9) + 10(-4)}{3 + 10} [/tex]
[tex] x = \frac{27 - 40}{13} [/tex]
[tex] x = \frac{-13}{13} [/tex]
[tex] x = -1 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{3(6) + 10(-8)}{3 + 10} [/tex]
[tex] y = \frac{18 - 80}{13} [/tex]
[tex] y = \frac{-62}{13} [/tex]
[tex] y = \frac{-62}{13} [/tex]
[tex] y = -4.8 [/tex]
The coordinates of the point 3/10 of the way from A to B are (-1, -4.8)
Answer:
(0.2,-2.3)
Step-by-step explanation:
35 out of 14 is what percentage
Answer:
40% is the answer. Hope this helped you
Answer:
The answer is 40%
Hope this answeris helpful...
Hope this answeris helpful...Make me as brainliest.....
how many times greater is the value of the 3 in 4,367 than the value of the 3 in 39?
Answer: Roughly 111.97
Step-by-step explanation:
1. 39 divided by 3 is 13.
2. 4367 divided by 3 is not evenly distributed. Rounding, it would work out to be roughly 1455.66
3. 1455.66 divided by 13 is roughly 111.97 (Again, this does not distribute evenly)
4. To check your work, multiply 111.97 times 13 and you should get somewhere around 1455.66 which is (4367 divided by 3).
Hopefully this helps! Feel free to mark brainliest! :)
When finding all the roots of polynomials, how do you find the possible rational zeros to know which numbers you plug back into the function to get the number you synthetically divide by?
Answer:
You would have to break the polynomial down into smaller binomials or monomials. Take x^2-6x-9 for instance. It would break down into (x+3)(x-3) through the a^2+2ab+b^2 formula. After that set the two nomials equal to zero and solve for x. After that, you would plug back in x to see whatever x works. You may more than two nomials after breaking it apart so keep that in mind.
What is the area of a triangle whose base is 16 m and whose height is 21 m?
74 m2
168 m2
268 m2
336 m2
Answer:
The answer is
168 m²Step-by-step explanation:
Area of a triangle is given by
[tex]A = \frac{1}{2} \times base \times height[/tex]
from the question
base = 16 m
height = 21 m
The area is...
[tex]A = \frac{1}{2} \times 16 \times 21 \\ = 8 \times 21 \: \: \: \: \: \: [/tex]
We have the final answer as
168 m²Hope this helps you
Find the 44th percentile, P44, from the following data! pls help
Answer:
[tex] P_{44} = 29.9 [/tex]
Step-by-step Explanation:
The 44th percentile, [tex] P_{44} [/tex], of the given data can be calculated using the kth formula for percentile given as:
[tex] i = \frac{k}{100}(n + 1) [/tex]
where,
i = the ranking or the position of the percentile = ?
k = the percentile = 44
n = total number of the given data values = 23
Plug in the values into the formula to find "i"
[tex] i = \frac{44}{100}(23 + 1) [/tex]
[tex] i = \frac{44}{100}(24) [/tex]
[tex] i = \frac{1,056}{100} [/tex]
[tex] i = 10.56 [/tex]
Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.
Thus,
[tex] i_{down} = 10.56 = 10 [/tex]
[tex] i_{up} = 10.56 = 11 [/tex]
The data occupying the 10th position on the data set = 28.7
11th = 31.1
[tex] P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2} [/tex]
[tex] P_{44} = 29.9 [/tex]
Linda drove 325 miles on a trip. At the end of the trip, the total mileage on the car's odometer read 4013. What was the mileage of the car at the beginning if Linda's trip?
Answer:
3688
Step-by-step explanation:
Step 1:
4013 - 325 = 3688
Answer:
3688
Hope This Helps :)
Can you help me please
Answer:
what is your question ? and where are these points that you are talking about?
Solve the equation for x. 3x=(2x−2)(m+5)
Answer:
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
Step-by-step explanation:
Step 1: Write out equation
3x = (2x - 2)(m + 5)
Step 2: FOIL
3x = 2xm + 10x - 2m - 10
Step 3: Subtract 2xm on both sides
3x - 2xm = 10x - 2m - 10
Step 4: Subtract 10x on both sides
3x - 2xm - 10x = -2m - 10
Step 5: Factor out x
x(3 - 2m - 10) = -2m - 10
Step 6: Combine like terms in parenthesis
x(-2m - 7) = -2m - 10
Step 7: Divide both sides by -2m - 7
[tex]x=\frac{-2m-10}{-2m-7}[/tex]
Solve (x + 2)(2x + 3) = 6 {-2, -3/2} {-7/2, 0} {0}
Answer:x=−3/2 or x=−2
Step-by-step explanationLet's solve your equation step-by-step.
(x+2)(2x+3)=6(−2−3/2)(−7/2(0))(0)
Step 1: Simplify both sides of the equation.
2x2+7x+6=0
Step 2: Factor left side of equation.
(2x+3)(x+2)=0
Step 3: Set factors equal to 0.
2x+3=0 or x+2=0
x=−3/2 or x=−2
You have been assigned the job of doubling an investment by putting it in an account that earns 8% simple interest annually. About how many years will it take for this to happen?
Answer:
12.5
Step-by-step explanation:
100 ÷ 8 = 12.5, so it'll take 12.5 years to double
Answer:
12.5
Step-by-step explanation:
The height of a helicopter above the ground is given by h=3.00t3, where h is in meters and t is in seconds. After 2.00 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?S
Answer:
7.96 s
Step-by-step explanation:
Given the following :
h = 3t³
After t seconds, that is, t = 2
h = 3(2)³ = 3 × 8 = 24 m
Rate of change, Velocity = dh/dt
dh/dt = 3*3t^(3 - 1) = 3*3t² = 9t²
At t = 2 s ; initial velocity = 9(2)² = 9 × 4 = 36 m/s
From the 3rd equation of motion:
v² = u² + 2gh
Where g = acceleration due to gravity 9.8m/s
upward motion, g = - ve
Displacement = - 24
v² = 36² + 2(-9.8)(-24)
v² = 1296 + 470.4
v² = 1766.4
v = sqrt(1766.4)
= 42.03 m/s
Since final velocity is in downward direction : take it as negative.
Recall, :
Velocity = Displacement / time
Displacement = Velocity × time
Average Velocity = (Initial + final velocity) / 2
Displacement = - 24 m
-24 = [(36 + (-42.03)) /2] × t
-48 = - 6.03t
t = 48 / 6.03
t = 7.96s
how do you find the area of a partial circle
Answer:
Divide!
Step-by-step explanation:
Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....
One endpoint of a line segment has the coordinates (-5, 12). If the midpoint of the segment is at (2,9), find the
coordinates of the missing endpoint.
Answer:
(9, 6)
Step-by-step explanation:
Midpoint formula is:
x = (x₁ + x₂)/2y = (y₁ + y₂)/2Having coordinates of one end- and midpoint (-5, 12) and (2, 9):
x₁ = -5, y₁ = 12x = 2, y = 9we get the coordinates of the missing endpoint with coordinates (x₂, y₂):
x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6So the missing point is: (9, 6)
Natural resources that are used to make goods and services are considered _____. Equipment Money Land Labor
natural resources that are used to make goods and services are considered land
hope that helped :))
Write the equation of the line with slope = -3 and passes through (2,7)
Answer:
Step-by-step explanation:
y - 7 = -3(x - 2)
y - 7 = -3x + 6
y = -3x + 13
Which number has an 8 that is 1/10 the value of the 8 in 78?
Step-by-step explanation:
Step one:
Firstly we need to determine the place value of 8 in the term 78
in the term, we have 7 tens and 8 units
hence the place value of 8 in 78 is the units
Step two:
Now 1/10 of 8 is given as
0.1*8= 0.8
According to the problem statement, we are expected to find a number that has an 8 that is the same as 0.8.
Say 5.8, 6.8, 9.8
we cannot say exactly, but any number that has an 8 that is one decimal away is an equivalent
A research team aboard an underwater research vessel descends 1,500 feet beneath the surface of the water. They then rise 525 feet and descend again 350 feet. Where are they currently located?
Answer:
-1,325 ft below sea level
Step-by-step explanation:
0(surface level) - 1,500 = -1,500
-1,500 + 525 = -975
-975 - 350 = -1,325
Answer:
they are currently at -1325 ft.
Step-by-step explanation:
first yo go up or in other words you subtract 525 to 1500 which gives you 973 then they descend 350 so they are going back down so you add 350 onto 975
Mark made a business trip of 259.5 miles. He averaged 59 mph for the first part of the trip and 57 mph for the second part. If the trip took 4.5 hours, how long did he
travel at each rate?
Answer: He spends 1.5 hours on the first part of trip and 3 hours on the second part of trip
Step-by-step explanation:
Let x = the number of hours for first part
Let y = the number of hours for second part
Concept: speed × time = distance
----------------------------------------------------------------
x+y=4.5
59x+57y=259.5
-----
y=4.5-x
59x+57y=259.5
-----
59x+57(4.5-x)=259.5
59x+256.5-57x=259.5
2x+256.5=259.5
2x=3
x=1.5
4.5-1.5=3 hrs
Diego and Anya live 72 miles apart. They both meet at
their favorite restaurant, which is (16x – 3) miles from
Diego's house and (5x + 2) miles from Anya's house.
Diego argues that in a straight line distance, the restaurant
is halfway between his house and Anya's house. Is Diego
right? Justify your reasoning.
Answer:
The restaurant is not at half way
Step-by-step explanation:
Given
[tex]Total\ Distance = 72[/tex]
[tex]Diego = 16x - 3[/tex]
[tex]Anya = 5x + 2[/tex]
Required
Accept or reject Diego's claim
To do that, we need to determine the value of x by:
Diego + Anya =Total Distance
Substitute values for each parameter
[tex]16x - 3 + 5x + 2 = 72[/tex]
Collect Like Terms
[tex]16x + 5x = 72 + 3 - 2[/tex]
[tex]21x = 73[/tex]
Divide both sides by 21
[tex]x = \frac{73}{21}[/tex]
Substitute the value of x in Diego and Anya's distance
[tex]Diego = 16x - 3[/tex]
[tex]Diego = 16 * \frac{73}{21} - 3[/tex]
[tex]Diego = \frac{1168}{21} - 3[/tex]
[tex]Diego = \frac{1168 - 63}{21}[/tex]
[tex]Diego = \frac{1105}{21}[/tex]
[tex]Diego = 52\frac{13}{21}[/tex]
[tex]Anya = 5x + 2[/tex]
[tex]Anya = 5 * \frac{73}{21} + 2[/tex]
[tex]Anya = \frac{365}{21} + 2[/tex]
[tex]Anya = \frac{365 + 42}{21}[/tex]
[tex]Anya = \frac{407}{21}[/tex]
[tex]Anya = 19\frac{8}{21}[/tex]
Since, both distances are not equal,
Then Diego's claim is false and incorrect