a skate shop owner ordered 60 skateboards from the manufacturer. out of the 60 boards that were ordered, 18 were longboard. he wants to know what percent of his order was longboards?

Answers

Answer 1
Answer:

The percentage of the skateboards that were longboards is 30%.

Number of skateboards ordered = 60

Number of skateboards that were longboards = 18

Therefore, the percentage of the skateboards that were longboards will be:

= 18/60 × 100

= 30%

Therefore, the percentage of the skateboards that were longboards is 30%.

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Answer 2
Answer:

Answer:

30 percent

Step-by-step explanation:

18/60= 0.3 multiply by 100 to get your percent


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Jamie graduation picnic costs $4 for every attendee . At most how many attendee can there be if Jamie budgets a total of $52 for his picnic

Answers

Answer: 13 attendees

Step-by-step explanation: 52/4=13

There can be a total of 13 attendees.

This is because 52 divided by 4 is 13.

need help with math build an equation that is equivalent to the equation k=19 and also put answer in words

Answers

"The variable K is equivalent to 19."
As for the equation, it could be

k=19+0

or 1k= 10 + 9

or 1k = 19


Subtracting integers by adding opposite

Answers

Are you looking for an explanation? That's all I can give. Let me give you an example. 5-5 is 0, right? Well, what is 5 plus -5? It's still 0! Cool, right? 10-5 is 5, and 10 plus -5 is also 5.

Kate is buying 12-packs of bottled water. She has storage space for 65 bottles. She plans to take 11 of them with her on a camping trip this weekend, and will store the rest. What is the greatest number of 12-packs she should buy? Explain how to solve the problem using an inequality.

Answers

Answer:

Step-by-step explanation:

sample response : Let the variable x be the number of packs purchased, and 12x = total number of water bottles. Since 11 are removed, 12x - 11 is the total she needs to store. So, 12x - 11 must be less than or equal to 65. Solving this, you get x is less than or equal to 6 1/3. This means Kate should buy a maximum of 6 12-packs, since she cannot buy part of a 12-pack.

if Kate has 65 bottles to store, you would just add up 12 continuously till you reach 65 or go below 65, so 12+12=24  24+12=36  36+12= 48 48+12 = 68 so therefore she'd need to store atleast 48 bottles of water.


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Which of the following quartic functions has x=-1 and x = -2 as its only two real zeros?

Answers

Answer:

Equation 3

Step-by-step explanation:

Lets see which of the functions has -2 as a zero root. We will go in order:

(1) (-2)^4 - 3(-2)^3 + 3(-2)^2 -3(-2) + 2 = 16 - 3(-8) + 3(4) + 6 +2 = 16 +24 +12 + 6 +2 =60 >0

So, (1) is wrong!

(2) (-2)^4 + 3(-2)^3 + 3(-2)^2 - 3(-2) - 2 = 16 - 24 + 12 + 6 - 2 =34 - 26 = 8 > 0

(2) is also wrong!

(3) (-2)^4 + 3(-2)^3 + 3(-2)^2 +3(-2) + 2 = 16 - 24 + 12 - 6 + 2 = 30 -30 = 0

The zero root x=-2 fits, what about x=-1?

(-1)^4 + 3(-1)^3 + 3(-1)^2 +3(-1) + 2 = 1 - 3 + 3 - 3 + 2 = 6 - 6 = 0

So, equation (3) fits both!

Finally, lets see (4):

(-2)^4 - 3(-2)^3 - 3(-2)^2 + 3(-2) + 2 = 16 + 24 - 12 - 6 + 2 = 42 - 18 = 24 > 0

So, (4) is also wrong.

Only equation 3 fits both zero roots!

Final answer:

The quartic function with x=-1 and x=-2 real roots is x^4+6x^3 +12x^2+12x+4. Quartic functions are polynomial functions of degree 4; quadratic equations resources also help understand the concept. In essence, finding roots of quartic functions follow the same logic as that of quadratic functions.

Explanation:

The subject matter pertains to quartic functions in mathematics. Quartic functions are polynomial functions with a degree of 4. From the question, the given zeros are x=-1 and x=-2, having multiplicity of 2 each (since there are only two real zeros). Thus, the quartic function with these zeros will be (x+1)^2*(x+2)^2. This can be expanded to x^4+6x^3 +12x^2+12x+4.

Exemplifying the relevance of The Solution of Quadratic Equations, normally known as second-order polynomials or quadratic functions, such equations can also be used to find zeros of the functions when set to equal zero. In this scenario, quartic functions are a degree higher, but the same principle applies in finding the roots when the equation is set equal to zero.

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forty children from an after-school club went to matinee. this is 25% of the children in the club. how many children are in the club?

Answers

The total number of children in the club is given by the equation A = 160 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of students be represented as A

Now , the equation will be

The number of students who went to the matinee = 40 students

The percentage of students who went to the matinee = 25 %

So ,

percentage of students who went to the matinee  x total number of students = number of students who went to the matinee

Substituting the values in the equation , we get

( 25 % ) x A = 40

On simplifying the equation , we get

( 25/100 ) x A = 40

A / 4 = 40

Multiply by 4 on both sides of the equation , we get

A = 160 students

Therefore , the value of A is 160 students

Hence , the equation is A = 160 students

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25% of 40 is 40 times 25 divided by 100 which is 10 (number of children in the club)