A store has 4 baskets of soccer balls with 8 balls in each basket. They sell 10 balls. How many balls are left?

The ratio of h to g is

Therefore, when h = 0.3

multiplying both sides by 0.3 gives

Answer:

Im bored wanna talk?

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

f(4) = \(2^{4}\) + 8 = 24

f(-2) = \((-2)^{2}\)-48 = -46

24 + -46 = -22

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus

1/2 or 50% because each flip of a coin is independent from the last and a fair coin has an equal probably of landing on either side.

Answer:

(D)

Step-by-step explanation:

Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

and the total amount of money that she spends on tomatoes is

Therefore, the inequality can be written as

Thus, option (D) is CORRECT.

Answer:

9.75*1.2= 11.7min (time spent reading in science)

24.5*0.8=19.6min (time spent reading play)

19.6+11.7= 31.3min (total time spent reading)

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

Hello there!

y=mx+b

m is the slope

b is the y-intercept

y=-3/4x+8

Hope this helps you!

~Just a joyful teen

\(GraceRosalia :)\)

200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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Answer:

y = (x + 3)² - 1

Step-by-step explanation:

The solution to the above algebra question is  (b) x-3, x+5.

To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.

We set up the synthetic division table as follows, using -2 as the divisor:

-2 | 1 4 -11 -30

|____-2__-4___30

| 1 2 -15 0

The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:

x^2 + 2x - 15 = (x - 3)(x + 5)

Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.

The correct answer is (b) x-3, x+5.

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1) probability that Ed will answer all 6 questions correctly is approximately 0.00024.

2) probability that Ed will answer exactly 2 questions correctly is approximately 0.29663.

3) probability that Ed will answer at least 2 questions correctly is approximately 0.46606.

What is Probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

1) Probability of answering 6 questions correctly:

Since there are 4 choices for each question, the probability of guessing the correct answer for a single question is 1/4.

P(6 correct) = \((1/4)^{6}\) = 0.00024414 ≈ 0.00024

So the probability that Ed will answer all 6 questions correctly is approximately 0.00024.

2) Probability of answering exactly 2 questions correctly:

The probability of guessing exactly 2 questions correctly can be calculated using the binomial probability formula:

P(exactly 2 correct) = (6 choose 2) * (1/4)² * \((3/4)^{4}\)

P(exactly 2 correct) ≈ 0.29663

So the probability that Ed will answer exactly 2 questions correctly is approximately 0.29663.

3) Probability of answering at least 2 questions correctly:

P(at least 2 correct) = P(2 correct) + P(3 correct) + P(4 correct) + P(5 correct) + P(6 correct)

P(k correct) = (6 choose k) * \((1/4)^{k}\) * \((3/4)^{(6-k)}\)

where k can be 3, 4, or 5.

P(at least 2 correct) ≈ 0.46606

So the probability that Ed will answer at least 2 questions correctly is approximately 0.46606.

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Answer:

Answer:00

If any individual factor on the left side of the equation is equal to 00, the entire expression will be equal to 00.

b=0b=0

3b−5=03b-5=0

Set the first factor equal to 00.

b=0b=0

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

b=0,53b=0,53

Decimal Form:

b=0,1.¯6b=0,1.6‾

Mixed Number Form:

b=0,123b=0,123

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The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

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The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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The number of marks that Gopal obtained is 50.

Average is the sum of scores divided by the number of scores.

Average = sum of scores / total number of scores

65 = (60 + 70 + 80 + a) / 4

65 = (210 + a) / 4

Where a is Gopal's score

In order to determine the value of a, multiply both sides of the equation by 4

260 = 210 + a

Subtract 210 from both sides of the equation

260 - 210 = a

a  = 50

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Answer:

7719

Step-by-step explanation:

2,573*3=7719

Answer:

\( \boxed{C. \: 7,719} \)

Step-by-step explanation:

Amount saved by Kate's family last year = 2,573 pennies

Amount saved by Zoe's family last year = 3 × Amount saved by Kate's family last year

= 3 × 2,573

= 7,719 pennies

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

Answer:

t- shirt cost £7, hat cost £3

Step-by-step explanation:

let t represent cost of t- shirt and h represent cost of hat , then

4t + h = 31  → (1)

2t + h = 17 → (2)

Subtract (2) from (1) term by term to eliminate h

(4t - 2t) + (h - h) = 31 - 17 , that is

2t = 14 ( divide both sides by 2 )

t = 7

Substitute t = 7 into either of the 2 equations and solve for h

Substituting into (1)

4(7) + h = 31

28 + h = 31 ( subtract 28 from both sides )

h = 3

t- shirt cost £7 and hat cost £3

Answer:x=1

Step-by-step explanation: 3x+2x=-2x+5+2x