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2 years ago

a board game that normally costs $30is on sale for 25 percent off. what is the sale price of the game

Mathematics

2 answers:

telo118 [61]2 years ago

8 0

Answer:

22.5

Step-by-step explanation:

Hey there! first, we find 25% of 30 which equals 7.5 then we subtract 30 - 7.5 which is 22.5

Alinara [238K]2 years ago

8 0

Answer:

$22.50

Step-by-step explanation:

25/100 times 30 = 7.5

30 - 7.5 = 22.5

The answer is then $22.50

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14 feet out of 36 feet

ohaa [14]

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2 years ago

Northridge Middle School collected 5022 cans of food for a food drive. Each of 18 homerooms collected the same number of cans. A

taurus [48]

Answer:

Step-by-step explanation:

Divide the total number of cans (5022) by the number of homerooms (18) to get the number of cans collected by each homeroom:

5022 cans

---------------------- = 279 cans per homeroom

18 homerooms

5 0

3 years ago

Solve for x. round to the nearest hundredth if necessary.

iris [78.8K]

Answer: $x=11.47$

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Then, knowing that:

$\alpha=55\°\\adjacent=x\\hypotenuse=20$

You need to substitute these values into $cos\alpha=\frac{adjacent}{hypotenuse}$ :

$cos(55\°)=\frac{x}{20}$

Now, you can solve for "x":

$20*cos(55\°)=x\\x=11.471$

Rounded to the nearest hundreth:

$x=11.47$

6 0

2 years ago

Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their ro

topjm [15]

Step-by-step explanation:

The discriminant of the quadratic equation $ax^2+bx+c=0$ :

$\Delta=b^2-4ac$

If Δ < 0, then the equation has two complex roots $x=\dfrac{-b\pm\sqrt\Delta}{2a}$

If Δ = 0, then the equation has one repeated root $x=\dfrac{-b}{2a}[/tex If Δ > 0, then the equation has two discint roots [tex]x=\dfrac{-b\pm\sqrt\Delta}{2a}$

$1.\ x^2-4x+2=0\\\\a=1,\ b=-4,\ c=2\\\\\Delta=(-4)^2-4(1)(2)=16-8=8>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=2\sqrt2\\\\x=\dfrac{-(-4)\pm2\sqrt2}{2(1)}=\dfrac{4\pm2\sqrt2}{2}=2\pm\sqrt2\\\\==============================\\\\2.\ 5x^2-2x+3=0\\\\a=5,\ b=-2,\ c=3\\\\\Delta=(-2)^2-4(5)(3)=4-60=-56$

$3.\ 2x^2+x-6=0\\\\a=2,\ b=1,\ c=-6\\\\\Delta=1^2-4(2)(-6)=1+48=49>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt{49}=7\\\\x=\dfrac{-1\pm7}{(2)(2)}\\\\x_1=\dfrac{-8}{4}=-2,\ x_2=\dfrac{6}{4}=\dfrac{3}{2}\\\\==============================\\\\4.\ 13x^2-4=0\qquad\text{add 4 to both sides}\\\\13x^2=4\qquad\text{divide both sides by 13}\\\\x^2=\dfrac{4}{13}\to x=\pm\sqrt{\dfrac{4}{13}},\ \bold{two\ distinct\ roots}\\\\==============================$

$5.\ x^2-6x+16=0\\\\a=1,\ b=-6,\ c=16\\\\\Delta=(-6)^2-4(1)(16)=36-64=-28$

$7.\ 4x^2+11=0\qquad\text{subtract 11 from both sides}\\\\4x^2=-11\qquad\text{divide both sides by 4}\\\\x^2=-\dfrac{11}{4}\to x=\pm\sqrt{-\dfrac{11}{4}}\\\\x=\pm\dfrac{\sqrt{11}}{2}\ i,\ \bold{two\ complex\ roots}$

6 0

2 years ago

Read 2 more answers

I NEED HELP NOWWWWW. PLEEEASSSE ANSWER QUICKLY WITH CORRECT ANSWER. WILL BE AWARDED WITH BRAINLIEST ANSWER.

Annette [7]

Answer:

The two angles mentioned are alternate interior angles, so they are congruent.

303 feet.

Step-by-step explanation:

If you draw off the flag you can see they are alternate interior and are congruent.

Also again, make a diagram it really helps a lot

6 0

2 years ago