According to the solving the team average is g/17 and Chris sold (g/8) - 17 games.
What do you mean by average?The term "Average" refers to a value that should be used to describe the sample as a whole. The average is determined by dividing the total number of values in a set by the total number of values. also known as the arithmetic mean.
How do you calculate the mean?Average A collection of integers are added, their count is divided, and the sum is used to determine the arithmetic mean.
According to the given information:average game sold = g/8
since Chris sold 17 games less than average
hence, Chris sold games
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Hurry please I’ll give you 20 points
The general rule is power of power. It can be represented by (x^m)^n = x^mn.
What is an exponent?
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Now complete the given table:
Problem to First repeated second repeated Power of
simplify multiplication multiplication the form of a^n
(2²)³ 2²×2²×2² 2×2×2×2×2×2 2⁶
(5³)⁴ 5³ × 5³ × 5³ × 5³ 5×5×5×5×5×5×5×5×5×5×5×5 5¹²
(7³)⁴ 7³ × 7³ × 7³ × 7³ 7×7×7×7×7×7×7×7×7×7×7×7 7¹²
((3x)²)³ (3x)²×(3x)²×(3x)² 3x×3x×3x×3x×3x×3x (3x)⁶
(4y²)³ (2y)²×(2y)²×(2y)² 2y×2y×2y×2y×2y×2y (2y)⁶
The general rule is (x^m)^n = x^mn. The name of the rule is power of power.
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What is one of the main differences between a 401(k) and a Roth 401(k)?
O A. A Roth 401(k) is offered by banks, while a 401(k) is offered by an
employer.
B. The amount you can contribute depends on your age.
C. Contributions are taxed differently.
D. You have to be different ages in order to withdraw money.
Onr of the main differences between a 401(k) and a Roth 401(k): Contributions are taxed differently.
The correct answer is an option (C)
The difference between a 401(k) and a Roth 401(k) is that 401(k) is the income taxes on distribution whereas the Roth 401(k) is the income taxes on contribution.
Roth 401(k) is funded with after-tax money.
You can withdraw after-tax money once you reach retirement age.
A traditional 401(k) allows you to make contributions before taxes.
But in traditional 401(k) you have to pay income tax on the distributions in retirement.
Therefore, the main difference is: the income taxes on your contributions.
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Click on the solution set graphic until the correct one is displayed.
Answer: I can't answer that because it's not a question
Step-by-step explanation:
The scattered plot below shows the relationship between the total calories a meal has and the number of calories from fat.
If a meal has 300 calories from fat, how many total calories would you expect it to have?
Total 400 calories is expected to have a meal has 300 calories from fat the relationship between the total calories a meal has and the number of calories from fat .
what is scatterplot ?A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables). There are points on a scatter (XY) plot that depict the connection between two sets of data. The sample illustrates the weight and height of one person for each dot. Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another. The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.
given
300 calories from fat
total = 100 + 100 + 200
= 400 calories
Total 400 calories is expected to have a meal has 300 calories from fat the relationship between the total calories a meal has and the number of calories from fat .
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Charlie reads quickly. He reads 1 3/7 pages every 2/3 minutes. Charlie reads at a constant rate: How many pages foes he read per minute?
In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.
What is Unitary Method ?A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.
In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.
Direct VariationIndirect VariationIn [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages
In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]
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Determine the slope, x-intercept and y-intercept of the line given by the equation 2x+3y=6
7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.
The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total possible outcomes.
= 8 x 22
= 176
Now,
Probability of guessing the correct letter.
= [tex]^8C_1[/tex] / 176
Probability of guessing the correct section.
= [tex]^{22}C_1[/tex] / 176
The probability that you correctly guess the letter section and then guess the correct number section.
= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176
= 8 x 22 / 176 x 176
= 1 / 176
= 0 .005
= 0.01
Thus,
The probability that you correctly guess where your car is located is 0.01.
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Alex has five cups of strawberries. He wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Does Alex have enough strawberries to make both recipes? Solve this problem any way you choose. Grade 5
Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.
To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)
1 3/4 cups + 3 1/5 cups
= 1 + 3/4 + 3 + 1/5
Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal
= 1 + 15/20 + 3 + 4/20
= 4 + 19/20
= 4 19/20 cups
4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.
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11 of 5011 of 50 Questions Question 11 Three classrooms are trying to raise $1,200.00 for charity. Mrs. LeBlanc's class has raised 50% of the total needed. Mr. Patel's class has raised $235.14. Ms. Warner's class has raised one-third as much as Mrs. LeBlanc's class. How much more money is needed to reach the goal of $1,200.00
$164.86 more is needed to reach the goal of $1,200.00.
First, we need to find out how much money Mrs LeBlanc's class has raised since they have raised 50% of the total needed. We can do this by multiplying the total needed by 50%:
$1,200.00 * 50% = $600.00
Next, we need to find out how much money Ms Warner's class has raised since they have raised one-third as much as Mrs LeBlanc's class. We can do this by multiplying the amount raised by Mrs LeBlanc's class by one-third:
$600.00 * 1/3 = $200.00
Now we can add up the amount raised by all three classes to see how much has been raised in total:
$600.00 (Mrs. LeBlanc's class) + $235.14 (Mr. Patel's class) + $200.00 (Ms. Warner's class) = $1035.14
Finally, we can subtract the total amount raised from the goal amount to find out how much more is needed:
$1,200.00 - $1,035.14 = $164.86
So $164.86 more is needed to reach the goal of $1,200.00.
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Please help me with these two questions
The expression for area of the rectangles are obtained as x² + 10x + 21 and x² - 9x + 8 respectively. The correct options for both parts are (C) and (B) respectively.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The dimension of both the rectangles are given as,
First rectangle : (x + 3) and (x + 7)
Second rectangle : (x - 1) and (x - 8)
Since, the area of a rectangle is product of its dimensions.
It can be obtained as,
Area of first rectangle is given as,
⇒ (x + 3) × (x + 7)
⇒ x² + 10x + 21
Area of second rectangle is given as,
⇒ (x - 1) × (x - 8)
⇒ x² - 9x + 8
Hence, the area of both the rectangles are obtained as x² + 10x + 21 and x² - 9x + 8 respectively.
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Simplify: [tex]\frac{10^4}{10^6}[/tex]
Answer:
1/100, or 0.01, or 10^-2
Step-by-step explanation:
Simplify to get 1/10^2
and evaluate to get 1/100 or some the alternative forms (see above)
Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x
Answer:
y=7/2 and x=6
Step-by-step explanation:
2x−6y=−2y−2 can be turned into x=2y−1.
Now you can substitute the equations.
−6x−4y=−2x−38
−6(2y−1)−4y=−2(2y−1)−38
Then you can simplify.
−12y+6=−36
−12y=−42
y=7/2
Then you can substitute y to find x.
x=2y−1
x=2(7/2)-1
x=6
And then our answers are y=7/2 and x=6.
Hope this helped! :)
When two lines intersect the vertically opposite angles so formed are Class 7?
When two lines intersect the vertically opposite angles so formed are equal in measure.
When two lines intersect each other, then the opposite angles, created due to the intersection are called vertical angles or vertically opposite angles.
We can see in the figure two lines intersect each other at a point. Therefore the two pairs of vertically opposite angles are ∠1 and ∠3, ∠2 and ∠4.
From the figure, ∠1 + ∠2 = 180° [Linear pair] eqn(1)
∠2 + ∠3 = 180° [Linear pair] eqn(2)
From eqn(1) and eqn(2), we get
∠1 + ∠2 = ∠2 + ∠3
∴ ∠1 = ∠3
Similarly, we can prove ∠2 = ∠4 also.
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On average a bird visits 950 flowers per day for nectar how many flowers does the bird visit in an hour Round your answer to the nearest whole flower. B how many flowers does the bird visit in a year
So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.
A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.
B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.
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please help: find m∠BCF
Step-by-step explanation:
so, clearly, the triangles BCF and DCF are congruent.
that makes the line CF a bisector of the kite figure.
and so, both angles are identical halves of the total angle at C.
therefore,
3x + 13 = 13x - 7
13 = 10x - 7
20 = 10x
x = 20/10 = 2
prove that (4x-5)2 -5x(3x-8) is a positive for all values of x
To prove that (4x - 5)^2 - 5x(3x - 8) is positive for all values of x, we can start by expanding the expression:
(4x - 5)^2 - 5x(3x - 8) = 16x^2 - 40x + 25 - 15x^2 + 40x = -14x^2 + 80x - 25
Now, we can complete the square to find that this expression is always positive:
-14x^2 + 80x - 25 = (-14x^2 + 80x) - 25
= (-14x^2 + 80x + (80/2)^2 - (80/2)^2) - 25
= (-14x + 40)^2 - 25 - 40^2 + 40^2
= 15^2 - 25
= (15 - 5)(15 + 5)
= 10(20)
= 200
Since this expression is equal to 200, which is a positive number, we can conclude that (4x - 5)^2 - 5x(3x - 8) is positive for all values of x.
A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?
Answer:
For this example they are all the same thing.
530:1 or 530 mph
Step-by-step explanation:
A unit rate is when the denominator is 1. In this case, the denominator is already 1 hour.
How many 1/3 ounce cups can be taken from a 30 ounce box of cereal?
Answer:
90 cups
Step-by-step explanation:
Number of cups needed = 30 / (1/3) cups
= 90 cups
Thought process:
1 cup -> 1/3 ounce
3 cups -> 1 ounce
? cups -> 30 ounce
Hence, ? = 30 x 3
= 90
His coordinate grid shows where Alberto's school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. Use absolute value to find the distances from Alberto's house to the school and from Alberto's house to the library
The distance from Alberto's house to the school is 4 units and from Alberto's house to the library is 6 units
Consider the following diagram.
From given coordinate grid we can observe that Alberto's school is located at point (-1, 4)
Alberto's house is at (3, 4).
And the library is located at the reflection of (3, 4) across the y-axis.
This means, the libarary is located at point (-3, 4)
We know that the absolute value is nothing but the distance between a number and zero on a number line.
The distance from Alberto's house to the school would be,
= distance between points (3, 4) and (-1, 4)
= |3 - (-1)|
= |3 + 1|
= |4|
= 4 units
And the distance between Alberto's house to the library would be,
= distance between points (3, 4) and (-3, 4)
= |3 - (-3)|
= |3 + 3|
= |6|
= 6 units
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The complete question is:
This coordinate grid shows where Alberto’s school is located. Each unit represents one block. Alberto's house is at (3, 4). The library is located at the reflection of (3, 4) across the y-axis. What are the coordinates of the library?
vanessa will sell yogurt for $2.50 a cup fill in the table to show how much money Vanessa will make if she sells 19 cups of vanilla yogurt
answer: 47.5 cups
Step-by-step explanation:
2.50 x 19 = answer
what is 8 1/4 divided by d=2/11
When 8[tex]\frac{1}{4}[/tex] is divided by 2/11, we get 45[tex]\frac{3}{8}[/tex].
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement -
"8[tex]\frac{1}{4}[/tex] divided by 2/11"
We can write it as -
x = {8[tex]\frac{1}{4}[/tex]} ÷ {2/11}
x = 33/4 x 11/2
x = 363/8
x = 45[tex]\frac{3}{8}[/tex]
Therefore, when 8[tex]\frac{1}{4}[/tex] is divided by 2/11, we get 45[tex]\frac{3}{8}[/tex].
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Working as a team, 8 mathletes solve 20 problems in 10 minutes. At this rate, how many mathletes solve 30 problems in 5 minutes
Step-by-step explanation:
the given ratio is
8 / 20/10 = 8 / 2 = 4
for x mathletes we need to keep the same ratio :
x / 30/5 = 4
x / 6 = 4
x = 4×6 = 24
24 mathletes.
5. An acute triangle has a base of 4 cm and a height of 8 cm. What is the area of the triangle?
32 cm²
12 cm²
16 cm²
64 cm²
Answer:
c) 16 cm²
Step-by-step explanation:
Given information,
→ Base = 4 cm
→ Height = 8 cm
Area of triangle formula,
→ Area = ½ × b × h
Now the area of triangle is,
→ ½ × b × h
→ ½ × 4 × 8
→ 2 × 8
→ 16 cm²
Hence, the area is 16 cm².
Help me ….::::..::::&:88338
Answer:
y = [tex]\frac{1}{3}[/tex] x - 6
Step-by-step explanation:
9y - 3x = -54
We want in the form
y = mx + b
9y - 3x = -54 Add 3x to both sides
9y - 3x + 3x = 3x - 54
9y = 3x - 54 Divide all the way through by 9
[tex]\frac{9y}{9}[/tex] = [tex]\frac{3x}{9}[/tex] - [tex]\frac{54}{9}[/tex]
y = [tex]\frac{3}{9}[/tex] x - 6
We can simplify [tex]\frac{3}{9}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x - 6
If QS is the ANGLE bisector, solve for x
Question setup: x over 18 = 45 over 20
Solving for x in the angle bisector which resulted to the proportion x over 18 = 45 over 20 results to x = 40.5
What are angle bisectors as used in geometry?In geometry, a line that divides an angle into two equal angles is referred to as an angle bisector.
By definition, a bisector is something that divides an object or a shape into two equal parts. A ray is said to be an angle bisector if it divides an angle into two equal portions of the same measure.
The division from angle bisectors gave rise to the proportion which is given by
x / 18 = 45 / 20
cross multiplying
x = 18 * 45 / 20
x = 40.5
hence x is solved to get 40.5
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HELP PLEASE!!!!!!!!!!!!!!!
Answer:
Its the second image
Step-by-step explanation:
How do you find the shorter leg of a 30 60 90 triangle?
The short leg of a 30-60-90 triangle is 1/2 the length of the hypotenuse. 30-60-90 triangle is the half of an equilateral triangle.
Right triangles with 30-60-90 interior angles are called special right triangles.
A 30-60-90-degree triangle is a special right triangle and its side lengths are always consistent with each other. The ratio of the sides follows the 30-60-90 triangle ratio: 1: 2: [tex]\sqrt{3}[/tex] .
Short side (opposite the 30° angle) = x
Hypotenuse (opposite the 90° angle) = 2x
Long side (opposite the 60° angle) = x√3
30-60-90 Triangle Theorem:
These three properties can be examined by the 30-60-90 triangle theorem and are unique to these special right triangles:
The hypotenuse (the triangle's longest side) is twice the length of the short leg.The length of the longer leg is the√3 times of the shorter leg.If we know the length of any one side of a 30-60-90 triangle, we can find the missing side lengths.Read more about the right triangle :
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In our class there are 40 boys. 22 students are girls write a ratio comparing girls to boys
Answer:
Its 22:40
Step-by-step explanation:
Answer: 22:40
Pretty simple
Step-by-step explanation:
What is the degree of the polynomial 2x² 5x³ 7 *?
The degree of the polynomial 2x² 5x³ 7 is 5.
The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the highest exponent of the variable is 5, which appears in the term 5x³. The degree of a polynomial is a whole number that tells us how many times the variable is multiplied by itself. The degree of the polynomial is 5.
It's worth noting that polynomials can be constant or non-constant, meaning they don't have to have a variable in them, in that case the degree is 0. And also a polynomial with only one term, the degree of that polynomial is the exponent of that term.
In this case, we only have one term with variable x in it, 5x³, and the degree is the exponent of that term which is 5.
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The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
The area of a right-angled triangle is represented by the expression
x(x + 2) = 24 having area 24 square feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the area of a right-angled triangle is (1/2)×base×height.
Given, The area of a triangle is 24 square feet whose height is 2 more than it's base.
Let, The base of the triangle be 'x', Therefore the measure of the height is (x + 2).
Therefore, The area of the triangle is,
(1/2)×x(x + 2) = 24.
x(x + 2) = 24.
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