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4 years ago

30 POINTS !!!

Mathematics

1 answer:

Soloha48 [4]4 years ago

7 0

Each ticket costs $1.25

Jermaine bought 25 of them, which costs 25 x 1.25

25 x 1.25 = 31.25

He spent a total of $43.75 from the tickets and price of admission

we know the tickets cost 31.25, so the admission cost was 43.75 - 31.25

43.75 - 31.25 = $12.5

b) y = 1.25x + 12.5

Where y is the total cost, 1.25 is the price of each ticket, x is how many tickets a person bought, and 12.5 is the admission fee.

Hope it helps :)

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What is the equivalent radian measure of 540°?

Aleksandr-060686 [28]

Answer: 3π

I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.

Step-by-step explanation:

To convert from degrees to radians, you multiply by π/180.

$540*\frac{\pi }{180} =3\pi$

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3 years ago

Find the reduced echelon form of [1, 2, 4; 0, 3, 6; 0, 2, 4]

taurus [48]

Answer:

$\begin{pmatrix}1&0&0\\0&3&6\\0&0&0 \end{pmatrix}$

Step-by-step explanation:

Given:

$\begin{pmatrix}1&2&4\\0&3&6\\0&2&4 \end{pmatrix}$

We need to reduce the given matrix to reduced echelon form.

Solution:

Make zeroes in column 1 except the entry at row 1, column 1. As we can see all elements in column are already zero. Make zeroes in column 2 except the entry at row 2, column 2.

$\begin{pmatrix}1&2&4\\0&3&6\\0&2&4 \end{pmatrix}\\R_3\rightarrow R_3-\frac{2}{3}R_2\\\begin{pmatrix}1&2&4\\0&3&6\\0&0&0 \end{pmatrix}\\R_2\rightarrow \frac{R_2}{3}\\\begin{pmatrix}1&2&4\\0&1&2\\0&0&0 \end{pmatrix}\\R_1\rightarrow R_1-2R_2\\\begin{pmatrix}1&0&0\\0&3&6\\0&0&0 \end{pmatrix}\\$

So, $\begin{pmatrix}1&2&4\\0&3&6\\0&2&4 \end{pmatrix}$ in reduce echelon form is $\begin{pmatrix}1&0&0\\0&3&6\\0&0&0 \end{pmatrix}$

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3 years ago

Heidi solved the equation

Liono4ka [1.6K]

Answer:

Correct.

Step-by-step explanation:

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3 years ago

Factor the expression P^4+3p^3-10p^2

bonufazy [111]

Answer:

$p^2(p+5)(p-2)$

Step-by-step explanation:

To begin factoring the expression $p^4+3p^3-10p^2$ , we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:

$p^4=p*p*p*p$

$3p^3: 3*p*p*p$

$-10p^2: -10*p*p$

Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.

We notice the only common factors bare p*p or $p^2$ .

We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.

$\frac{p^4}{p^2} =p^2$

$\frac{3p^3}{p^2} =3p$

$\frac{-10p^2}{p^2}=-10$

$p^2(p^2+3p-10)$ .

We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.

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We write $p^2(p+5)(p-2)$ .

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4 years ago

This one I need the answers for both of 12 points!!!!

Debora [2.8K]

Part A

c - number of washed cars

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5c > 500 | : 5

5c : 5 > 500 : 5

c > 100

Answer: 100 cars

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4 years ago