Solve -4(10 + 3x) - (x + 8) = -9. Check your solution.

The  probability that the next spin will land on red or green or purple is approximately 67% to the nearest whole nu

Total number of spins = Sum of the frequencies = 11 + 11 + 17 + 7 + 10 = 56

Number of spins landing on red, green, or purple = Frequency of red + Frequency of green + Frequency of purple = 11 + 17 + 10 = 38

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Probability = (38) / (56)

Now, to express the probability as a percentage, we can multiply the probability by 100 and round it to the nearest whole number:

Probability (as a percent) = (38 / 56) * 100 ≈ 67%

Therefore, the probability that the next spin will land on red or green or purple is approximately 67% to the nearest whole number.

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Answer: w = 2x + 4

Step-by-step explanation: The rabbit started at 4 ounces, and gained two each week.

Week 0 = 2(0) + 4 = 4

Week 1 = 2(1) + 4 = 6

Week 2 = 2(2) + 4 = 8

Week 3 = 2(3) + 4 = 10

Answer:

21.16 m^2

Step-by-step explanation:

perimeter of square=4l

18.4/4=l

4.6=l

area of square=l^2

=4.6^2

=21.16 m^2

Answer:

I believe what your teacher is looking for is

"If I breathe when I sleep, then I sleep when I breathe."

"If I sleep when I breathe, then I breathe when I sleep."

Step-by-step explanation:

I hope I'm correct ^-^

Answer:

y = 3x + 1

Step-by-step explanation:

y = 3x + 1 because the slope enters at 1, rise/run

Therefore, there are 4,060 different combinations of three-person dance committees that can be selected from a class of 30 students.

To calculate the number of different combinations of three-person dance committees that can be selected from a class of 30 students, we can use the concept of combinations. The number of combinations of selecting r items from a set of n items is given by the formula:

C(n, r) = n! / (r! * (n - r)!)

In this case, we want to select three students from a class of 30, so we have:

C(30, 3) = 30! / (3! * (30 - 3)!)

Calculating this expression:

C(30, 3) = 30! / (3! * 27!)

= (30 * 29 * 28) / (3 * 2 * 1)

= 4060

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Answer:

the answer is x= -6 and y= -13

Answer:

Yes, Triangle A

Step-by-step explanation:

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

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Answer:

the product is equal to the number. When a positive whole number is multiplied by a fraction greater than 1. When a positive whole number is multiplied by a fraction between 0 and 1, the product is less than the whole number.

Step-by-step explanation:

The number 400010 in sexagesimal is written as:111, 1, 11, 16, 10.

The Babylonians developed the sexagesimal (base 60) number system about 4000 years ago. One sexagesimal digit conveys about 6 bits of information. Let's now write the number 400010 in sexagesimal. One sexagesimal digit conveys about 6 bits of information.

Therefore, to find the number of bits conveyed by one sexagesimal digit, we can use the formula:bits = log2(base)Here, the base is 60 since the number system used is sexagesimal.

bits = log2(60)≈ 5.906

The number of bits conveyed by one sexagesimal digit is approximately 6.To write the number 400010 in sexagesimal, we need to divide this number by the base 60 repeatedly until we reach a quotient of 0. The remainders obtained will give us the digits in the sexagesimal system.

400010 / 60 = 6666 remainder

1010 / 60 = 16 remainder

1066 / 60 = 11 remainder

6611 / 60 = 1 remainder 111

So, the number 400010 in sexagesimal is written as:111, 1, 11, 16, 10.

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Answer:

Answer

see explanation

Step-by-step explanation:

Using the rule of exponents

= , then

=

His mistake was in subtracting 3 rather than - 3

Answer:

D. The distance around a circle

The function fog(x) is written as x³+ 3x²

First, we need to know that functions are defined as expressions, rules or laws showing the relationship between two variables.

These variables are listed as;

From the information given, we have that;

f(x)=x²

g(x)=x+3

To determine the composite function fog(x), we need to multiply the functions in terms of x, we get;

fog(x) = x²( x + 3)

expand the bracket, we have;

fog(x) =  x³+ 3x²

Note that we can no longer add the terms, because they have different powers.

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The complete question :

Let f(x)=x^2and g(x)=x+3. Find fog(x)

a. The total of the three cards is 12. 36

b. The number that should replace the question mark is 1.36

The mean of a given set of data is defined as the average of the values.

The formula for the mean of a set of data is given as;

Mean = sum of the data/number of data

From the information given, we have that;

Mean = 5

The data = 8 + 3 + x

Substitute the values, we have;

5 = 8 + 3 + x/3

cross multiply the values, we have;

15 = 11x

Divide both sides by the coefficient, we have;

x = 1. 36

The total of these cards = 8 + 3 + 1.36 = 12. 36

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Answer:

$30.75

Step-by-step explanation:

Since the sale was 20% off, the tennis racket is 80% of its original price.

\(.8p = 24.60\)

\(p = 30.75\)

The correct options are C and B:

Domain: {x| -5 ≤ x ≤ 4}

Range: {x| -3 ≤ y ≤ 3}

Remember that for a function f(x) = y the domain is the set of the inputs (set of the possible values of x) and the range is the set of the outputs (possible values of y).

To identify the domain we need to look at the horizontal axis. The leftmost value is x = -5, so that is the minimum of the domain.

The rightmost value is x = 4, so that is the maximum of the domain.

Also notice that we have two closed circles, meaning that these values belong to the domain, then:

D: {x| -5 ≤ x ≤ 4}

For the range, we look at the vertical axis.

The lowest value is y = -3, the largest one is y = 3, then the range is:

R: {x| -3 ≤ y ≤ 3}

Then the correct options are C and B

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Answer:

x = 46

Step-by-step explanation:

Angles in a triangle add up to equal 180

This means that 107 + 27 + x must equal 180

Note that we've just created an equation that we can use to solve for x.

107 + 27 + x = 180

* solve for x *

combine like terms

134 + x = 180  

subtract 134 from both sides

134 - 134 + x = 180 - 134

x = 46

1) After simplification: loguv + logvw + loguw -2logv - 2logu - 2logw

Given expression:

log(uv/w) + log(uw/v) + log(vw/u)- log(uvw)

Now simplify using log properties,

log(a/b) = loga - logb

log(ab) = loga + logb

Therefore,

=loguv - logw + loguw -logv + logvw - logu - logu -logv -logw

=loguv + logvw + loguw -2logv - 2logu - 2logw

Hence the simplified form is,

loguv + logvw + loguw -2logv - 2logu - 2logw

2)

Power gain \(P_{2}/ P_{1}\) = 316.22

Given,

n = 10 log(\(P_{2}/ P_{1}\))

n= 25

Now,

25/10 = \(log_{10} \frac{P_{2} }{P_{1} }\)

10^2.5 = \(P_{2}/ P_{1}\)

\(P_{2}/ P_{1}\) = 316.22 .

Hence the power gain in 316.22 .

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Answer:

Please give an exact question... it is unclear what you are asking...

Step-by-step explanation:

Provide the complete question to the equation...

Answer:

625

Step-by-step explanation:

(-5)^4 = 625

Answer:

Y = -2,  X = 4

Step-by-step explanation:

When you first use the elimination method, you would multiply 2x-y = 10 by -2 so that you could get the 4x to be eliminated.

4x-3y = 22

(2x-y = 10)-2 = -4x + 2y = -20

When you add those 2 together you are left with -y = 2, which you divide by negative to get y = -2. Then you substitute -2 for y to solve for x. I substituted the bottom equation

2x - (-2) = 10

2x +2 = 10

2x = 8

Divide both sides by 2 to get x = 4.

Based on the given conditions, Jane has $31, Kevin has $25, and Hans has $50 in their wallets.

Let's solve the problem step by step.

First, let's assume that Jane has X dollars in her wallet. Since Kevin has $6 less than Jane, Kevin would have X - $6 dollars in his wallet.

Next, we're given that Hans has 2 times what Kevin has. So, Hans would have 2 * (X - $6) dollars in his wallet.

According to the information given, the total amount of money they have in their wallets is $106. We can write this as an equation:

X + (X - $6) + 2 * (X - $6) = $106

Simplifying the equation:

4X - $18 = $106

4X = $124

X = $31

Now we know that Jane has $31 in her wallet.

Substituting this value into the previous calculations, we find that Kevin has $31 - $6 = $25 and Hans has 2 * ($25) = $50.

To find the total amount they have, we sum up their individual amounts:

Jane: $31

Kevin: $25

Hans: $50

Adding these amounts together, we get $31 + $25 + $50 = $106, which matches the total amount stated in the problem.

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The complete question is:

Jane, kevin and hans have a total of $106 in their wallets. kevin has $6 less than Jane. hans has 2 times what kevin has. how much do they have in their wallets?

Answer:

Step-by-step explanation:

Answer:

x=33

Step-by-step explanation:

2x-18+4x=180

6x-18=180 combine like terms

   +18   +18 add on both sides

6x= 198  divide

x= 33

Answer:

x = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take square root of both sides )

x = \(\sqrt{36}\) = 6

Step-by-step explanation:

Answer with explanation is in the attachment

Hope my answer is helpful to you

Answer:

(3 +/- i*sqrt(151) / 20 (no real solutions)

Step-by-step explanation:

10x^2 - 6x + 4 = -3x

Add 3x to both sides

10x^2 - 6x + 4 + 3x = -3x + 3x

10x^2 - 6x + 4 + 3x = 0

Add like terms

10x^2 - 3x + 4 = 0

We have to use quadratic formula to find the answers

For this equation, a = 10, b = -3 and c = 4

Note: +/- is plus or minus

Quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)

x = (3 +/- sqrt(9 - 160)) / 20

x = (3 +/- sqrt(-151) / 20

x = (3 +/- i*sqrt(151) / 20

if there's a "-" sign inside a square root, it will give you an imaginary number.

Example:

-sqrt(9) = -3

sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")

So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:

sqrt(151). We can't forget about the "-". Turn the minus into a sign.

It will be i*sqrt(151)

Imaginary numbers can't be simplified, so this is the answer.

(3 +/- i*sqrt(151) / 20