Answer:
18 boys
Step-by-step explanation:
set a proportion
8 24
-- = ---
6 x
24(6)=8(x)
144=8x
divide 8 by both sides
18 boys
Answer:
there are 32 boys
Step-by-step explanation:
24 divided by 6 = 4
24 + 8 =32
a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?
The probability of adding either ground beef or onion as the first ingredient 0.25 or 25%.
If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:
Probability = (Number of desired outcomes) / (Total number of possible outcomes)
= 2 / 8
= 1 / 4
= 0.25
So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.
In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.
The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.
To know more about probability follow the link:
https://brainly.com/question/24756209
#SPJ11
Jimmie invested $27,500 at 6.27% compounded continuously. What will Jimmie's account balance be in 50 years?
Answer:
Input:
6.27
Result:
6.27
The number of observations in a complete data set having 10 elements and 5 variables is _____ ... a. data b. variables c. elements d. variables and elements.
The number of observations in a complete data set with 10 elements and 5 variables is a. data.
In the context of data analysis, a complete data set refers to a collection of data that includes all the required observations or cases. In this scenario, the data set consists of 10 elements, which represent the individual observations or data points. Each element is associated with 5 variables, which are the characteristics or attributes being measured or observed.
Therefore, the number of observations in this data set is determined by the number of elements, which is 10. The term "observations" refers to the individual data points or cases in the data set. The other options, such as "variables" and "elements," do not accurately represent the count of observations in this context.
Hence, the correct answer is a. data, indicating that the number of observations in the complete data set is determined by the number of elements, which in this case is 10
To know more about data sets, visit:
brainly.com/question/29011762
#SPJ11
13-16 pls I don’t understand
Answer:
13. 1
14. 42
15. 65
Step-by-step explanation:
13.
If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.
Only one number is an integer and has a reciprocal that is an integer, the number being 1.
1/1 = 1
1/1 = 1
Average:
1+1 = 2
2/1 = 1
Therefore the answer is 1.
14.
If we multiply everything by 7x, we'd get
7 + x = 49
subtract 7 on both sides
x = 42
15.
If
pg = 50 and gr = 15
then
pg + gr = 65
factoring that would give you
g(p+r) = 65
I can't see 16 but good luck!
Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle.
P = 2L + 2W
Complete the sentence. The amount of time it takes to drive from your house to the library is most likely to be a function of the _____.
Answer:
D. distance
Step-by-step explanation:
really ? given the choices you needed help with that ?
only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.
how many sides does a polygon have if the sum of the interior angles is 3960
A polygon with a sum of interior angles of 3960 has 22 sides.
The sum of the interior angles of a polygon can be calculated using the formula:
(n-2) * 180
where n is the number of sides of the polygon. This formula is derived from the fact that the total degree measure of a polygon is equal to the sum of the degree measures of its interior angles. In a polygon with n sides, there are n angles, each measuring 180 degrees. So the total degree measure of a polygon with n sides is n * 180.
Now, if we subtract the degree measures of two angles, we are left with the sum of the degree measures of the remaining n-2 angles. This is why the formula for the sum of the interior angles of a polygon is given as (n-2) * 180.
To find the number of sides of a polygon given its sum of interior angles, we can rearrange the formula as follows:
n = (Sum of interior angles / 180) + 2
So, if the sum of the interior angles is given as 3960, we can plug that into the formula:
n = (3960 / 180) + 2
n = 22
Therefore, a polygon with a sum of interior angles of 3960 has 22 sides.
To learn more about polygon please click on below link.
https://brainly.com/question/18487663
#SPJ4
How many sides does a polygon have if the sum of the interior angles is 3960?
A company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". Which of the following statements is true? She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The rcent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:
She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.
To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:
S(n) = 70000(1.2)
S(n) = 84000
The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)
S(1) = 84000
The percent increase of her salary is: S(n) = 70000(1.2)n
S(n) - S(n-1) / S(n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%
S(n) - S(n-1) / S(n-1) × 100% = 20%
Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.
To know more about salary visit:
https://brainly.com/question/14371457
#SPJ11
Triangle ABC is dilated to create triangle DEF on a coordinate grid. You are given that angle A is congruent to angle D. What other information is required to prove that the two triangles are similar?
Answer:
They must meet at least three requirements like those in the explanation.
Step-by-step explanation:
-The other angles are also corresponding for example: B is congruent to E and C to F.
- Its sides are proportional to each other
-These two triangles can have the same shape no matter what size each one is
Different expressions that are equivalent to 2 to the power of -4
Answer:
1/16
Step-by-step explanation:
2^-4 = 1/2*2*2*2 -> 1/2⁴ -> 1/16
The area of a rectangular field is 7938 m2. If the width of the field is 81 m, what is its length?
Answer:
A=l*w
area=length * width
l=length
w=width
given=A=7938m*m&w=81m
required=l
solution=
A =l*w
l=A÷w
l=7938m*m÷81m
m will cancel m
so 7938m÷81
l=98m
checking
A=l*w
A=98m*81m=7938m*m
l=98m
question is-- Northern Tier Gardens has hired you for a summer job installing water gardens. they have circular water garden pools available in a variety of sizes. the manager has asked you to create a table to show the circumference and area of the company's various water garden pools. use 3.14 for π and round each answer to the nearest hundredth. === 20 PTS.
Answer:
See explanation
Step-by-step explanation:
Atlantic area = πr² = (3.14)(2.5)² = 19.63 ft²
Circumference = 2πr = 2(3.14)(2.5) = 15.7 ft
Pacifica A = (3.14)(6)² = 113.04 ft²
C = 2(3.14)(6) = 37.68 ft
Mediterranean A = (3.14)(1.75)² = 9.62 ft²
C = 2(3.14)(1.75) = 10.99 ft
Baltica A = (3.14)(1)² = 3.14 ft²
C = 2(3.14)(1) = 6.28 ft
Japanesque A = (3.14)(2.25)² = 15.90 ft²
C = 2(3.14)(2.25) = 14.13 ft
Floridian A = (3.14)(3.25)² = 33.17 ft²
C = 2(3.14)(3.25) = 20.41 ft
The absolute value of (2−7)=
The absolute value is:
5Work/explanation:
First, we will evaluate 2-7.
It evaluates to -5.
Now, let's find the absolute value of -5 by using these rules:
\(\sf{\mid a\mid=a}\)
\(\sf{\mid-a \mid=a}\)
Similarly, the absolute value of -5 is:
\(\sf{\mid-5\mid=5}\)
Hence, 5 is the answer.Yoon buys a box of markers for $2.85 but he has a coupon for 20% off how much does he save with the coupon
Answer:
$0.57
Step-by-step explanation:
20% of $2.85 =
= 0.2 * $2.85
= $0.57
2.85 x 0.2 = 0.57
Yoon saves 57 cents
I need help with these two questions!
Question 1
C. Congruent by ASA.
Question 2
The reason is 'definition of isosceles triangle'.
If 134n = 54eight , calculate n
The value of 'n' is approximately 4.0896.
To calculate the value of 'n' in the equation 134n = 548, we can isolate 'n' by dividing both sides of the equation by 134.
134n = 548
Dividing both sides by 134:
n = 548 / 134
Evaluating the division:
n ≈ 4.0896
Therefore, the value of 'n' is approximately 4.0896.
To know more about value, refer here:
https://brainly.com/question/29135849
#SPJ2
Complete Question:
If 134n = 548, calculate n.
 1. Emily and Joe design a fenced backyard play space for their children Max and Caroline. They start by considering two designs for a triangular play space. They have made measurements in their yard and determined that either design would fit into the available space.
A) Explain how Emily and Joe can use trigonometry to calculate the area and perimeter of the possible play spaces
B) Calculate the area of the play space for each design.
C) Calculate the perimeter of the play space for each design.
D) Which design do you think Emily and Joe should choose? Explain your reasoning.
Show work, calculation, and step-by-step.
a.) The area and perimeter of the both spaces can be calculated using the Pythagorean formula to determine the length of the missing side
b.) The area of each play space design would be=44ft²
c.) The perimeter of play space=31.6ft
D.) The design Emily and Joe should choose would be= The design that they should use would be the first design.
How to calculate the length of the missing side of the triangular play space?To calculate the missing length of the triangular play space, the formula for Pythagorean theorem should be used and it's given as follows:
C² = a²+b²
where;
a= 11ft
b= 8ft
c²= 11²+8²
= 121+64
= 185
c=√185
= 12.6
The area of the triangular play space can be calculated using the formula such as;
= 1/2base ×height
For the first triangular space:
= 1/2 × 11×8
= 44ft²
The perimeter= a+b+c
= 11+8+12.6
= 31.6ft.
Learn more about area here:
https://brainly.com/question/28470545
#SPJ1
Find the center and radius of the sphere. 5x^2+5y^2+5z^2+x+y+z=1 Center =(,,, , radius = (Type exact answers, using radicals as needed.)
The center of the sphere is (-1/10, -1/10, -1/10) and the radius is sqrt(3/5).
To find the center and radius of the given sphere, we need to rewrite the equation of the sphere in standard form.
The given equation is 5x^2+5y^2+5z^2+x+y+z=1. To put it in standard form, we group the x, y, and z terms together:
5x^2 + x + 5y^2 + y + 5z^2 + z = 1.
Now, we can complete the square for each variable.
For x: 5(x^2 + 1/5x) + 5y^2 + y + 5z^2 + z = 1.
For y: 5(x^2 + 1/5x) + 5(y^2 + 1/5y) + 5z^2 + z = 1.
For z: 5(x^2 + 1/5x) + 5(y^2 + 1/5y) + 5(z^2 + 1/5z) = 1.
Now, we can rewrite the equation in standard form:
5(x + 1/10)^2 + 5(y + 1/10)^2 + 5(z + 1/10)^2 = 1 + 5(1/10)^2 + 5(1/10)^2 + 5(1/10)^2.
Simplifying:
5(x + 1/10)^2 + 5(y + 1/10)^2 + 5(z + 1/10)^2 = 1 + 1/2 + 1/2 + 1/2 = 3.
Comparing this with the standard form equation of a sphere, (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2, we can see that the center of the sphere is (-1/10, -1/10, -1/10) and the radius is sqrt(3/5).
Learn more about standard form from :
https://brainly.com/question/19169731
#SPJ11
A classmate simplified a rational equation 1-2/x-2 = x+1/X+2 1 - 2/x-2 = x+1/X+2
A): Explain the error in this simplification.
B): Show your work as you correct this error.
A rational equation is defined as the quotient of two polynomials, with the denominator not being zero. It is a type of algebraic expression that involves variables and rational functions with rational exponents.
The error in the given rational equation is that it's not allowed to cancel out the x-2 and X+2 terms, as they are in the denominators. It is because of the fact that it may make the denominator zero, which would result in undefined expressions. Therefore, we need to find the least common multiple (LCM) of the denominators and then convert the equation into equivalent forms with the same denominator.B):
Correction of the error1-2/x-2 = x+1/X+2Given rational equation can be re-written as:((1 - 2)/(x - 2)) = ((x + 1)/(X + 2))The LCM of x - 2 and X + 2 is (x - 2) (X + 2).Multiplying the numerator and denominator of the left side by (X + 2) and the numerator and denominator of the right side by (x - 2) we get,(1 - 2)(X + 2) = (x + 1) (x - 2)Now simplify the equation:2X - 3x = -3The given rational equation becomes 2X - 3x = -3 after correction.Note: You should always double-check if the obtained solution satisfies the initial equation.
To know more about consecutive integers visit:
https://brainly.com/question/1767889
#SPJ11
how does the digit 5 in the number 357 compare with the digit 5 in the number 465?
Answer:
The digit 5 in the number 357 is in the tens so it represents 50 whereas the digit in the number 465 is in the ones/units so it represents 5.
There are 9 player on a baeball team a club ha 9 baeball team how many baeball player are in the club
Answer:
18
Step-by-step explanation:
what is the midline equation of y= 7sin (3pi/4 x - pi/4) +6
Answer: 6
Step-by-step explanation:
Answer: y=6
Step-by-step explanation:
Barry and Kerrie are discussing their pets
during a poker game. Barry tells Kerrie that
he has at least one dog at home. When Kerrie asks what breed, he answers
cryptically: "If I have a Labrador but not a
Staffie, I also have a Collie. I either have
both a Collie and a Staffie or neither. If I
have a Collie, then I also have a Labrador. "
What breed or breeds does Barry have at
home?
Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
What is logical reasoning ?Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.
Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:
Statement 1: If I have a Labrador but not a Staffie, I also have a Collie
Statement 2: I either have both a Collie and a Staffie or neither.
Statement 3: If I have a Collie, then I also have a Labrador.
From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie. From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.From Statement 3, Barry must have a Labrador if I he has a Collie.Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
Learn more about logical reasoning at: https://brainly.com/question/25175983
Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?
Answer:
Step-by-step explanation: she can read 15 pages an hour but she read for 2 hours so she read 30 pages
Find the area of the prism pls help!!
Answer:
The pdf wont work
Step-by-step explanation:
cant help
Here is the monthly rent payments of six families: $620, $470, $380, $470, $510
and $670. What is the median of the data?
Answer:
The median is $490.
Step-by-step explanation:
To find the median you need to order the numbers from least to greatest. Then you need to find the middle number. In this example there were two middle numbers, 470 and 510. When you find the number in between those you get 490. I hope this helps!
Anyone know how to do this
Answer:
77
Step-by-step explanation:
3+2*49-24
3+98-24
101-24
77
Good luck
Answer:
77
Step-by-step explanation
3+2X7^2-4X6
First complete the exponent
3+2X49-4X6
Then multiply
3+2X49-24
Multiply
3+98-24
Calculate the rest of the equation
101-24=77
Therefore the answer is 77.
Please don't be mad if this is incorrect
Also the x's are multiplication symbols and NOT variables
a
Month (x)
0
1
2
3
4
5
6
Population (v)
2
8
32
Answer:
2,8,32,128,512,2048,8192
Step-by-step explanation:
you have to × each one by 4
What was done to the previous equation?
1.2(-3x + 4) = 5x + 2
original equation
2. -6x + 8 = 5x + 2
3.8 = 112 + 2
4.6 = 112
5.x = 11
In a given figure, < A and < B are vertical angles. The measure of < A is 4x + 22 and the measure of < B is 38 degrees. Write and solve an equation to find the value of x.