To find the ratio of the number of apples to the total number of fruits, divide the number of apples by the total number of fruits. Simplify the ratio by dividing both numbers by their greatest common factor. For the ratio of chicken filets to fish filets, divide the number of chicken filets by the total number of filets. Simplify the ratio if possible. To find the ratio of boys to girls, determine the new number of boys and girls after some changes. For the ratio of money, calculate the amounts each person has and simplify the ratio.
Explanation:To find the ratio of the number of apples to the total number of fruits, we divide the number of apples (24) by the total number of fruits (24 apples + 18 oranges = 42). This gives us a ratio of 24:42. We can simplify this ratio by dividing both numbers by their greatest common factor, which is 6. So the simplified ratio is 4:7.
For the second question, we need to find the ratio of the number of chicken filets to the number of fish filets. There are 12 chicken filets and a total of 44 filets in the freezer. So the ratio is 12:44. This can also be simplified by dividing both numbers by 4, giving us a simplified ratio of 3:11.
In the third question, we start with 12 boys and 18 girls. Then, 3 more boys join and 2 girls leave. So the new number of boys is 12 + 3 = 15, and the new number of girls is 18 - 2 = 16. The ratio of boys to girls is therefore 15:16.
In the fourth question, Monica has $42 and Naomi has $18. When Monica gives $6 to Naomi, Monica will have $42 - $6 = $36 left, and Naomi will have $18 + $6 = $24. The ratio of the amount of money Monica has to the amount of money Naomi has is 36:24, which can be simplified to 3:2.
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Graph y ≥ (x + 2)2 Click on the graph until the correct graph appears.
The graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y\geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.
To graph the inequality [tex]y\geq (x+2)^{2}[/tex] we first need to plot the parabola [tex]y=(x+2)^{2}[/tex] with a solid line. The vertex of the parabola is at [tex](-2,0)[/tex] and it opens upwards.
Next, we shade all the regions above or on the parabola to represent the inequality [tex]y\geq (x+2)^{2}[/tex] Since the inequality includes "or equal to" [tex](\geq )[/tex] we use a solid line for the graph of the parabola.
By following these steps, we create a graph where the area above or on the parabola is shaded, indicating the solutions to the inequality [tex]y\geq (x+2)^{2}[/tex] his shading represents all the points.
where the y-values are greater than or equal to the corresponding y-values on the parabola. The solid line ensures that points on the parabola itself are included in the solution set.
In summary, the graph shows a parabola with a solid line and shading above or on the curve to represent the inequality [tex]y \geq (x+2)^{2}[/tex] This graph visually illustrates the solution set for the given inequality.
The Bright Star Video Club offers the two membership plans described below.
Plan A: $50 yearly membership fee and $2 for each video rental
Plan B: $10 yearly membership fee and $4 for each video rental
Greg is planning to enroll in one of these plans. For how many video rentals would the total cost of Plan A be equal to the total cost of Plan B?
A. 50
B. 20
C. 30
D. 40
K(x)=10x+5 inverse function
The inverse of the function is k(x) = [tex] \frac{x - 5}{10} [/tex]
You can find the inverse of any function by switching the k(x) value and the x value. After that, solve for the new k(x). The result will be your inverse function. The step-by-step process is below.
k(x) = 10x + 5 ----> Switch the x and k(x)
x = 10k(x) + 5 ----> Subtract 5 from both sides
x - 5 = 10k(x) ----> Divide both sides by 10.
[tex] \frac{x - 5}{10} [/tex] = k(x) ----> Now switch the order for formatting
k(x) = [tex] \frac{x - 5}{10} [/tex]
And this is your new inverse function.
A lion’s heart beats 12 times in 16 seconds.how many heartbeats will it have in 60 seconds?
The sum of two numbers is 0.25. their quotient is 0.25. find the numbers.
[tex]n,\ m-the\ numbers\\\\n+m=0.25\qquad(*)\\\\n:m=0.25\to\dfrac{n}{m}=0.25\to n=0.25m\qquad(**)\\\\\text{Substitute}\ (**)\ \text{to}\ (*):\\\\0.25m+m=0.25\\\\1.25m=0.25\qquad\text{divide both sides by 1.25}\\\\\boxed{m=0.2}\\\\\text{Put the value of }\ m\ \text{to}\ (**):\\\\n=0.25(0.2)\\\\\boxed{n=0.05}\\\\Answer:\ \boxed{0.05\ and\ 0.2}[/tex]
Which equation can be used to find the volume of this solid?(Please see attached picture)
V=3*5*4
V-3+5+4
V=5*4
V=3*5
What are the solutions of the inequality? 12x – 3x + 11 > 4x – (17 – 9x) a. x > –7 b.x > −1411 c. x < −1411 d.x < 7
Which of the following sets of possible side lengths forms a right triangle? 12, 35, and 38 11, 60, and 61 9, 40, and 45 6, 12, and 13
Answer:
11,60, and 61
Step-by-step explanation:
What is the probability of drawing five face cards?
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1
The number –6 is less than 0.
Martha's statement saying - 6 is a rational number is correct as - 6 can be written as - 6/1.
What are rational numbers?Rational numbers consist of fractions and integers.
Any rational number can be written in the form of p/q, where q ≠ 0.
Any integer can be written in the form of a rational number p/q, where q ≠ 0 and q = 1.
Given, Martha states that - 6 is a rational number.
First, it is a negative integer but it can be written in the form - 6/1 as - 6/1 is equal to 6.
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Martha is correct in stating that -6 is a rational number because it can be written as -6/1.
Explanation:Martha is correct in stating that -6 is a rational number because it can be written as -6/1. A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, -6 can be written as the fraction -6/1.
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions of the rectangle.
Roll a 5 win 6 dollars roll a 6 win 12 dollars if you play one time what is your expected reward
F(x)=5x^3-2x^2-3x Polynomial factoring
A principal of $3900 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years? Use the calculator provided and round your answer to the nearest dollar.
Answer:
The answer would to be able to multiply the answers together. For example, the answer for this question would be 5,343 dollars rounded to the nearest tenth.
Step-by-step explanation:
Maria is traveling for business. She starts by traveling from Mexico City to Singapore which is about 1.26 x 104 miles. She then travels from Singapore to New York which is approximately 9.53 x 103 miles. What is the total distance that Maria traveled?
Answer:
D
2.213 x 10^4 miles
Step-by-step explanation:
Took the test
A climber is standing at the top of Mount Kazbek, approximately 3.1 miles above sea level. The radius of the Earth is 3959 miles. What is the climber's distance to the horizon?
The radius of the earth = OC = OB = 3959 miles
Peak of the Mount Kazbek = A = 3.1 miles
OA = OC + CA
OA = 3959 + 3.1 = 3962.1 miles
As OBA is a right triangle,
[tex] OA^{2} [/tex] = [tex] OB^{2} [/tex] + [tex] AB^{2} [/tex]
[tex] 3962.1^{2} [/tex] = [tex] 3959^{2} [/tex] + [tex] AB^{2} [/tex]
15698236.41 = 15673681 + [tex] AB^{2} [/tex]
[tex] AB^{2} [/tex] = 15698236.41 - 15673681
[tex] AB^{2} [/tex] =24555.41
AB = 156.701659
climber's distance to the horizon is 156.7 miles
The measure of a squares side is 1.2 feet. What is the perimeter of the square in inches?
Make t the subject of the formula
A coin is unbalanced such that it comes up tails 55% of the time.
a.what is the probability that you don't flip a head until the fourth flip?
b.what is the probability that you don't flip a tail until the fourth flip?
c.how many tosses would it take, on average, to flip a head?
d.how many tosses would it take, on average, to flip a tail?
If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.
By using Pythagoras theorem, length of one leg of triangle can be determined.
Given:
A triangle with length of one leg and the hypotenuse
According to question,
Let the length of one leg of triangle which can be base [tex](b)[/tex] or perpendicular [tex](p)[/tex] and hypotenuse represented by [tex](h)[/tex].
Now, using Pythagoras theorem which states that if a triangle is right-angled ([tex]90[/tex] degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
From the figure,
In [tex]\Delta AOB, \;\angle O=90^\circ[/tex]
[tex]\rm{H^2=P^2+B^2}\\\rm{AB^2=AO^2+OB^2[/tex]
[tex]h^2=p^2+b^2[/tex]
[tex]b=\sqrt{h^2-p^2}\\[/tex]
or
[tex]p=\sqrt{h^2-b^2}\\[/tex]
Therefore, length of one leg of the triangle is determined by using Pythagoras theorem.
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I have a question about the application of definite integrals. I came up with the following integral:
[tex] \int\limits^5_0 {62.5 * 6 * 2 * x} \, dx [/tex]
This is equal to 9780. Unfortunately, 9780 ft-lb is not an answer, but 9375.0 ft-lb is! Can someone tell me what is wrong with my integral and if 9375.0 ft-lb is the answer to my question?
how do i answer this question
[tex]7 - 3x = 2x + 7 - 5x[/tex]
a bag contains 7 red marbles 6 green marbles 5 yellow marbles and 2 orange. marbles are drawn twice with a replacement. what is p {yellow and green?
a coin is tossed and a number cube is rolled. what is p{h, then prime number?
letter tiles that spell the word happiness are replaced in a bag. a tile is drawn and then a second tile is drawn. find p then vowel p?
Question 1:
We have been given that a bag contains 7 red marbles, 6 green marbles, 5 yellow marbles, and 2 orange. Further we are given that marbles are drawn twice with a replacement. We need to figure out the probability P(Yellow and Green).
Basically, we need to determine the probability that first marble drawn is yellow and second marble drawn is green.
Probability of first marble drawn being yellow is [tex]\frac{5}{20}=\frac{1}{4}[/tex] and probability of second marble drawn being green is [tex]\frac{6}{20}=\frac{3}{10}[/tex].
Therefore, the probability P(Yellow and Green) = [tex]\frac{1}{4}\cdot \frac{3}{10}=\frac{3}{40}[/tex].
Question 2:
We have been given that a coin is tossed and a number cube is rolled and we need to find the probability P(H, prime number).
Probability of getting head on the coin is [tex]\frac{1}{2}[/tex].
Probability of getting a prime number on the cube is [tex]\frac{3}{6}=\frac{1}{2}[/tex].
Therefore, probability P(H, prime number) = [tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}[/tex]
The product of some negative number and 10 less than three times that number is 25. find the number.
Based on the information marked in the diagram, ABC and XYZ must be congruent.
Can somebody help ??
A. True
B. False
Answer: The answer i false
Step-by-step explanation:
Which linear equation has a slope of 3 and a y-intercept of –2?
Y=3x-2, or B.
Answer:
I believe the answer is A.
Step-by-step explanation:
If area of a circle measures 16/25 pi cm square, what is the circumference of the circle in terms of pi
The circle graph shows the portions of the time that Ralph spent playing different games.
Which two types of games did Ralph spend a total of 9/10 of his time playing?
Choose exactly two answers that are correct. exactly two plz!!
A.
Truck Rider
B.
Space Cadet
C.
Trivia Tasks
D.
Wizard Maze
If you flip 3 coins, what is the probability of landing on heads only 2 times? list your answer as a fraction in simplest form.
A family took a trip. They spent $90.71 for gasoline, $153.00 on meals, $197.00 on amusements, and $73.38 on miscellaneous expenses. How much did the trip cost?