Answer: 48m2 + 56m
Step-by-step explanation:
Answer:
Answer B
Step-by-step explanation:
One number is 24 more than the other. What are the numbers if their sum is 84
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?
a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
Distribute 5(3c-2r)
Answer:
15c-10r
Step-by-step explanation:
Combine like terms.
5*3c=15c
5*2r=10r
So we have 15c-10r
The base of a triangle is four times its height. If the area of the triangle is 242 square millimeters , find its base and height.
area= 1/2 b*h
242=1/2 4h*h=2h^2
h^2=121
h=11
b=4h=44
Ples help i will give you the best
ITS 10 POINTS
Can u tell me how to slove
Answer:
1024.
Step-by-step explanation:
4^5=4x4x4x4x4=1024.
For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive
Step-by-step explanation:
Consider a function
f
(
x
)
which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.
alternate exterior angles theorem
vertical angles theorem
corresponding angles postulate
same side interior angles theorem
alternate interior angles theorem
are all the second awsner which one is it
i need this awnser
117°
same side interior angles theorem
the area of a rectangle is 18cm square. what coul it dimension be?
Answer:
9 and 2
Step-by-step explanation:
9×2=18 and one side is longer than the other
your questions is wrong so dont come answer
36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If the
bank pays 0.250% compounded monthly, how much will her money be at the end of years?
Answer:
200.4 at 0.25%
Step-by-step explanation:
Given data
P= P200
r= 0.25%
t= 1 year
n= 12
A= P(1+ r/n)^nt
substitute
A= 200(1+ 0.0025/12)^12*1
A= 200(1+ 0.00020833333)^12
A= 200(1.0002)^12
A= 200* 1.002
A= 200.4
Hence the amount is 200.4 at 0.25%
Seventy-five percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 70% have an emergency locator, whereas 89% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.) (a) If it has an emergency locator, what is the probability that it will not be discovered
Answer:
0.05 = 5% probability that it will not be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has an emergency locator
Event B: Not discovered
Probability of having an emergency locator:
70% of 75%(discovered).
100 - 89 = 11% of 100 - 75 = 25%(not discovered). So
[tex]P(A) = 0.7*0.75 + 0.11*0.25 = 0.5525[/tex]
Intersection of events A and B
Having an emergency locator and not discovered, so 11% of 25%
[tex]P(A \cap B) = 0.11*0.25 = 0.0275[/tex]
What is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.5525} = 0.05[/tex]
0.05 = 5% probability that it will not be discovered
Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.
respondo por qué el juego me lo diste 2+24
Answer:
y = -2/3x + 6Step-by-step explanation:
Equation in slope-intercept form:
y = mx + bSubstitute values:
y = -2/3x + 6A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me
Answer:
110
Step-by-step explanation:
5.5 x 20 = 110
You are considering purchasing either a medium or a large pizza.
Medium Pizza
12-inch diameter
Large Pizza
14-inch diameter
How much greater, in square inches, is the area of the large pizza than the
medium pizza? Select the best answer below.
Processes
8. &Practices Model Math Today 25 girls and 20 boys rode their
bikes to school. Each bike rack at school holds 5 bikes. How many
bike racks were filled?
Answer:
9 bike racks
Step-by-step explanation:
25 girls. 20 Boys
20+25=45
Each bike rack hold 5 bikes
45÷5= 9
What value of x would make AABC an isosceles triangle?
А
C с
2x + 4
3x - 8
Step-by-step explanation:
step 1. 2x + 4 = 3x - 8
step 2. x = 12.
Write and solve the inequality.
Nine less than the product of a number n and is no more than 95.
Fill in the boxes,
box 1: 1/4
first arrow: - (less than)
second arrow: < (less than or equal to if that's an option, that means there would be a line underneath <)
box 2: 1/4
third arrow: same as second arrow
last arrow: =
box 3: 104 ÷ 1/4 = 416
message if you dont understand
hope this helped
The inequality shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Nine less than the product of a number n and 1/4 is no more than 95.
Let the number be n.
Now,
No more than means,
We have less than, greater than, and equal to.
We can use less than and equal to.
The inequality can be written as,
1/4 x n - 9 ≤ 95
(1/4)n - 9 ≤ 95
Add 9 on both sides.
(1/4)n ≤ 95 + 9
(1/4)n ≤ 104
Multiply 4 on both sides.
n ≤ 416
Thus,
The inequality that represents the given statement is
(1/4)n ≤ 95 + 9
The number n is n ≤ 416.
Learn more about inequalities here:
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For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units
Answer:
Step-by-step explanation:
radius of unit circle = 1
θ = 218° × π/180° = 109π/90 radians
arc length = rθ = 109π/90 ≅ 3.80 units
Which of the following equations would have the roots -3 and 2?
Answer:
Step-by-step explanation:
The second one.
What is the y intercept of the line 5x-2y=10
Answer:
Step-by-step explanation:
The y intercept occurs when x=0.
5(0)-2y=10
-2y=10
y=-5 or the point (0,-5)
Is ABC= DEF? If so, name the congruence postulate that applies.
Answer:
B)
Step-by-step explanation:
a p ec
Juan ha comprado una camisa y un pantalón. Los precios de estas prendas sumaban 60 €, pero le han hecho un 10 % de descuento en la camisa y un 20 % en el pantalón, y paga por todo 50,15 €. Cual era el precio sin rebajar de cada prenda?
Answer:
62
Step-by-step explanation:
Answer:
La respuesta es 21.50 la camisa
38.50 el pantalon
21.50 X .10 = 2.15
38.50 X .20 = 7.70 la suma de los dos da 9.85
60 - 50.15 = 9.85
21+38.50 = 60
Please please give answer for this question
An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?
Answer:
$24
Step-by-step explanation:
(1+5) x 4 = 24 dollars
Jerome went to the store and bought 2 cartons of eggs for $1.30 each and 1 box of pancake mix. His total bill was $6.10. Which equation can be used to correctly find the cost, x, of the box of pancake mix?
Which measurements are for a rectangle with an area of 16 square units?
4 units wide, 2 units long
2 units wide, 6 units long
4 units wide, 3 units long
2 units wide, 8 units long
Answer:
2 Units wide , 6 units long
how is 3 x 3/6 the same as 9 x 1/6
Answer:
3/1 times 3/6 = 9/6
9/1 times 1/6 = 9/6
Step-by-step explanation:
¿cuantos pedasos de 1/8 de metro se pueden cortar de 4metros?
Answer:
32 pedasos
Step-by-step explanation:
Cantidad de trozos = Metros totales de cable / Cantidad de metros de cada trozo
50 points!!!!!!!!!
Solve for x and y!!! Please help i will give crown!
Answer:
it is an iscoceles triangle..
so I think it should be 45 and 45
4. Which of the following numbers is not a solution of the inequality 3x – 5 > 4x – 3?
a. -1
b. -2
c. -3
d. -5
Options c and d are correct.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
What is solution for inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
According to the given question
We have an inequality
3x - 5 > 4x - 3
⇒ 3x - 4x > -3 + 5
⇒ -x > 2
⇒ x < -2
Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.
Learn more about the inequality here:
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What is (2, 4) and (5, −2) in point-slope formula to slope-intercept form
Answer:
Here ig
Step-by-step explanation: