[tex]\huge\boxed{125.}[/tex]
[tex]\boxed{-------------------------------------}[/tex]
Explanation...
So, 25 legislators represents 500,000 people.
We are trying to find how much legislators you need to represent 2,500,000.
500,000*5=2,500,000.
25*5=125.
Therefore, your answer is 125.
[tex]\boxed{-------------------------------------}[/tex]
Hope i helped!
[tex]\huge\boxed{Thanks,Plip.}[/tex]
Answer: 125
In Kennington, 25 legislators represent 500,000 people.
Find how many times 500,000 go into 2,500,000 people.
2,500,000 ÷ 500,000 = 5
Now, multiply 5 by 25, because each 500,000 people are represented by 25 legislators.
25 x 5 = 125.
Answer = 125.
Hope this helps you!
Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?
Answer:
The number of tickets sold at the gate is [tex] G = 211.25[/tex]
The number of tickets sold in advance is [tex] A = 311.25 [/tex]
Step-by-step explanation:
From the question we are told that
The cost of a tickets at the gate is [tex]a = \$ 5[/tex]
The cost of a ticket in advance is [tex]b = \$ 3[/tex]
Let the number of ticket sold in the gate be G
Let the number of ticket sold in advance be A
From the question we are told that
One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as
[tex]G + 100 = A[/tex]
From the question we are told that
The total revenue from ticket sales was $1990 and this can be mathematically represented as
[tex]5 G + 3A = 1990[/tex]
substituting for A in the equation above
[tex]5 G + 3[G + 100]= 1990[/tex]
[tex]5 G + 3G + 300= 1990[/tex]
[tex] 8G + 300= 1990[/tex]
[tex] 8G = 1690[/tex]
=> [tex] G = 211.25[/tex]
Substituting this for G in the above equation
[tex]5 [211.25] + 3A = 1990[/tex]
=> [tex] 3A = 1990 - 1056.25[/tex]
=> [tex] A = 311.25 [/tex]
A lumber supplier sells 96-inch pieces of oak. Each piece must be within ¼ of an inch of 96 inches. Write and solve an inequality to show acceptable lengths.
Answer:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
Step-by-step explanation:
Given that a lumber supplier sells 96 inch Pieces of oak which must be within 1/4 of an inch.
This situation can be represented by the following absolute value inequality:
[tex]|x \: - 96| \: \leqslant \: \frac{1}{4} [/tex].
The absolute value can be thought of as the size of something because length cannot be negative. The length must be no more than 1/4 away from 96.
To simplify this, pretend this is a standard equality, |x-96| = 1/4. 1/4 is the range of acceptable length, 96 is the median of the range, and x is the size of the wood.
First apply the rule |x| = y → x = [tex]\pm[/tex]y
|x-96| = 1/4
x - 96 = [tex]\pm[/tex]1/4
x = [tex]96 \pm 1/4[/tex]
(These are just the minimum, and maximum sizes)
Now with a less than or equal to, the solutions are now everything included between these two values.
Therefore:
[tex]96 - 1/4 \: \leqslant x [/tex] [tex]\leqslant \: 96 + 1/4 [/tex]
With less than inequalities, you must have the lower value on the left, and the higher value on the right.
If x represents the size of the pieces, then the acceptable lengths are represented by this following inequality:
[tex]95 \frac{3}{4} \: inch \leqslant x \leqslant 96 \frac{1}{4} \: inch[/tex]
This is interpreted as x (being the size of the oak) is greater than or equal to 95 3/4, and less than or equal to 96 1/4 in inches.
suppose that the life distribution of an item has the hazard rate function of what is the probability that
Answer:
that what
Step-by-step explanation:
what is 2 times 4 time 2
Answer:
16
Step-by-step explanation:
Answer:
16
Explanation:
2 x 4 = 8
8 x 2 = 16
if you subtract 19 from my number and multiply the difference by -2, the result is -8
Answer:cool
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
let the number be 'a'
-2(a - 19)= -8
open the brackets
-2a + 38 = -8
collect like terms
38 + 8 = 2a
46 = 2a
a = 23
What is the slope of a line that is perpendicular to the line y = x + 4?
The slope of the line is
Answer:
-1
Step-by-step explanation:
Answer:
- 1/6 is correct
perpendicular refers to the opposite of 1/6 therefor being negative 1/6
Step-by-step explanation:
Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.
A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10
Answer:
A
Step-by-step explanation:
Graph the line y-3=-1/3(x+2)
Slope: 1/2
y-intercept(s): (0, 7/3)
x: 0, 7
y: 7/3, 0
Step-by-step explanation:
y=-3 -1/3(1+2)=2/3.3=1.3=3
y=3
Find the surface area of the cube shown below 2.3
Answer:
2 2/3 or 8/3
Step-by-step explanation:
Formula for each side = 2/3 x 2/3
2/3 x 2/3 = 4/9
6 sides
4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9
=2 2/3 or 8/3
Answer:
2 2/3
Is the answer
What is the slope of a line that is perpendicular to the line y =-1/5
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .
(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)
Answer:
If i´m correct and read the answer correct it should be:
-18x³+80x²+65x+5
Step-by-step explanation:
Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.
Solve -2(2x + 5) - 3 = -3(x - 1).
The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.
What is distributive property?Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.
-2(2x + 5) - 3 = -3(x - 1)
To solve this equation, we need to first use the distributive property to expand the left side of the equation.
We have:
-4x-10-3 = -3(x - 1)
-4x-13 = -3(x - 1)
Now, we can group the like terms on the left side and the right side of the equation.
On the left side, we have -4x - 13 and on the right side, we have -3x + 3.
-4x-13 = -3x + 3
To solve for x, we can add 3x to left side of the equation and add 13 to the right side.
This results in the equation:
-4x+ 3x = 13 + 3
Now, we can add 3x with -4x of the equation to isolate the x-term.
We have:
-x = 16
x = - 16
For more questions related to equation
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The function that represents the amount of caffeine in milligrams remaining
Answer:
Step-by-step explanation:
The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.
Answer:
If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:
A(t) = c×e^(dt)
where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)
I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.
This relationship solving for the remaining miligrams can be given by:
A(t) = 190 mg × e ^ (-.36t)
Where t is the amount of hours.
The length of a rectangle is (3x − 5) inches, and its width is 2x inches. Find the area of the rectangle.
Hint: Area of a rectangle = length × width.
Answer:
A = 6x² - 10x
General Formulas and Concepts:
Area of a Rectangle: Length × Width
To expand, use FOIL - First, Outside, Inside, Last
Step-by-step explanation:
Step 1: Define variables
l = 3x - 5
w = 2x
Step 2: Find area
Substitute: A = (3x - 5)(2x)Expand (FOIL): A = 6x² - 10xAnswer: A=6x^2-10x ✅
Step-by-step explanation:
Hii, do you need to find the area of the rectangle? Let me help you out! (:
Luckily, there's a formula to find this! (:
AreaTo find the area of a rectangle, multiply its length times its width. This is shown below.
[tex]\LARGE\boldsymbol{A=L W}[/tex]
Here, "A" denotes the area
"L" denotes the length
"W" denotes the width
NB : "L" and "W" are interchangeable
Next, it's just a matter of sticking in the known values...
[tex]\twoheadrightarrow\sf A=2x(3x-5)[/tex]
===> it's perfectly legal to stick in the values the other way around, because they are interchangeable
Alright, the next step is to multiply the values...
[tex]\twoheadrightarrow\sf A=(2x\cdot3x)-(2x\cdot(-5)[/tex]
Then we need to simplify...
[tex]\twoheadrightarrow\sf A=6x^2-10x[/tex]
Voila! There's the area of this rectangle! (:
Cheers! (:_______________Hope I helped! Best wishes.
⚜ Reach far. Aim high. Dream big. ⚜
_______________The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.18 F and a standard deviation of 0.65 F. Using the empirical rule, find each approximate percentage below.
a.
What is the approximate percentage of healthy adults with body temperatures within 3 standard deviation of the mean, or between 96.23 F and100.3 F?
Answer:
99.7%
Step-by-step explanation:
Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question, we have mean of 98.18 F and a standard deviation of 0.65 F
The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 F is
μ - 3σ
= 98.18 - 3(0.65)
= 98.18 - 1.95
= 96.23 F
μ + 3σ.
98.18 + 3(0.65)
= 98.18 + 1.95
= 100.13 F
Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 F which is within 3 standard deviations of the mean is 99.7%
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
f(7x−1)=63x−16
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1
9x = 7x + 6, 2x = 6, x = 3
Find the unknown angle measures.
Answer:
x = 9°
y = 119°
Step-by-step explanation:
Given,
y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}
or, y° = 119°
therefore, y° = 119°
Now,
52°+y°+x° = 180°{the sum of angle if triangle is 180°}
or, 52°+119°+x°= 180°
or, 171°+x° = 180°
or, x° = 180°-171°
or, x° = 9°
therefore, x° = 9°
PLEASE HELP Please i don’t understand
Answer:
answer is 5
Step-by-step explanation:
f(5)= -5×5^2+26×5
= -125+130
= 5
function rule y=3x-3
Answer:
-15, -9, -3, 3
Step-by-step explanation:
First One:
y =3(-4)-3 is -15
Second:
y= 3(-2)-3 is -9
Third:
y= 3(0)-3 is -3
Last One:
y= 3(2)-3 is 3
What is the midpoint of the segments with endpoints (3,7) and (9,15)
Answer:
(6,11)
I can confirm that this question is right.
12/2 22/2
(6 , 11)
Kari is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an inequality to find the possible width of her garden bed.
Answer:
ahe using 12 feet of boards and threre 8 ft of board left so i guess the with will be 4.
Step-by-step explanation:
6+6 =12 for the lenghth
4+4=8= for the with
3s (s - 2) =12s, please help me this. Thank you!
Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl
What is the absolute value of 5,234?
Answer:
Step-by-step explanation:
5.234
Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare
Answer:
elsa's interval width will be greater than that of frank
Step-by-step explanation:
first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.
now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.
from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.
7. A crew of electricians can wire 6 houses in 243 hours. How many hours will it take them to wire
13 houses?
please I need a quick help
Answer:
x intercept (-2,0) y intercept (0,2)
Step-by-step explanation:
Answer:
I'm pretty sure these are the answers
x-intercept (-2,0)
y-intercept (0,2)
Explanation:
x-intercept: Is coordinates where the line hits the x-axis
y-intercept: Is coordinates where the line hits the y-axis
Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup
2.4 Section Exercise 6
In a study of 550 meals served at 75 campus cafeterias, 77 had less than 10 grams of fat but not less than 350 calories; 81 had
less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.
Part: 0/2
E
Part 1 of 2
(a) What percentage of meals had less than 10 grams of fat? Round your answer to the nearest tenth of a percent.
of the meals studied, 1% of them had less than 10 grams of fat.
Answer:
10%
Step-by-step explanation:
(a) What percentage of meals had less than 10 grams of fat?
(b) Round your answer to the nearest tenth of a percent.
To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.
(A) Total number of meals = 550
Number of meals having less than 10 grams of fat = 77
Percentage of meals having less than 10 grams of fat = 77/550 × 100
= 0.14 × 100 = 14%
(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').
The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%
jessie worked four more hours than Ben. They worked a total of 25 hours. How many hours did each boy workz?
Answer:
jessie: 14.5
ben: 10.5
Please help!!
x^2-2x+1-9y^2
Answer:
[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]
Step-by-step explanation:
[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]
A little algebra process later...
you got the answer
Hoped this helped ya
<3
RedAnswer:
(x-1-3y) x (x-1+3y)
Step-by-step explanation:
x^2-2x+1-9y^2
Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2
(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y) should be the answer :)
What formula is used to
determine the expected value for a variable?