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3 years ago

There are 476 students at Jackson School

Mathematics

1 answer:

Mrrafil [7]3 years ago

4 0

Answer:I think it is 8 buses

Step-by-step explanation:476+35=511

511/60=8.51

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In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo

Scorpion4ik [409]

Answer:

$x=\frac{8}{3}\ cm$

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

$A=\frac{1}{2}(AB)(BC)$

we have

$A=17\ cm^2$

$AB=(3x-2)\ cm$

$BC=(x+3)\ cm$

substitute the values

$17=\frac{1}{2}(3x-2)(x+3)$

$34=(3x-2)(x+3)$

$34=3x^2+9x-2x-6$

$3x^2+7x-6-34=0$

$3x^2+7x-40=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2+7x-40=0$

$a=3\\b=7\\c=-40$

substitute in the formula

$x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}$

$x=\frac{-7(+/-)\sqrt{529}} {6}$

$x=\frac{-7(+/-)23} {6}$

$x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}$

$x=\frac{-7(-)23} {6}=-5$

therefore

The solution is

$x=\frac{8}{3}\ cm$

6 0

3 years ago

The theater department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donati

barxatty [35]

Answer:

$(400+80x)

Step-by-step explanation:

We are required to find the total income on Friday Night

Ticket costs $5 each and they sold 80 tickets

Total ticket Sales = 80 X $5 =$400

There was a donation of $x per ticket, so for 80 tickets, there was a donation of $80x.

Total Income on Friday Night=Ticket Sale+Donations= $(400+80x)

3 0

3 years ago

Solve the inequality. 1/3+x+2/9>5/6

Anettt [7]

Answer:

5⁄18 < x

Step-by-step explanation:

Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you 5⁄9 + x > ⅚. Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is x > 5⁄18. Although the answer is written in reverse, it is still the same concept.

I am joyous to assist you anytime.

4 0

4 years ago

Sheila can ride her bicycle 6,000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes?

Alexxandr [17]

If Sheila can ride her bike 6000 meters in 15 minutes, then you can divide
6000 ÷ 15 to find how far she can ride in 1 minute.

6000 ÷ 15 = 400.

So, Sheila can ride her bike 400 meters in 1 minute.
To find how many meters she can ride in 2 minutes, multiply 400 by 2.

400 x 2 = 800.

Sheila can ride her bicycle 800 meters in 2 minutes.

4 0

3 years ago

Read 2 more answers

Express 53/6 as a mixed number

Degger [83]

Answer:

Its already simplified, if you were to simplify it even more it would be 8 5/6

4 0

3 years ago

Read 2 more answers