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3 years ago

PLEASE HELP!!! I WILL MARK BRAINLEST!!!

Mathematics

1 answer:

storchak [24]3 years ago

6 0

Answer:

Each hat is $5

Each mask is $3

Step-by-step explanation:

Hat= x dollars

Mask= y dollars

Now,

3 hats and 4 mask sold = $27

We can write

3x + 4y = 27

Adding the second equation (-1 times 1st equation) gives us;

3x + 6y = 33

-1* (3x + 4y = 27)

3x + 6y = 33

-3x -4y = 27

2y = 6

y = 6/2

***y = 3***

Now we replace y= 3 into 1st equation and solve for x:

3x + 4y = 27

3x + 4(3) = 27

3x + 12 = 27

3x + 15

x = 15/3

***x= 5***

Each hat costs $5

Each mask costs $3

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Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12

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Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

$-16t^2+ 160t + 120=0$

Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

$x=\frac{-160\pm\sqrt{33280}}{-32}$

$x=\frac{-160\pm 182.42}{-32}$

$x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}$

$x=−0.70,10.70$

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3 years ago

A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was

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Answer:

Number of games won = 110

Step-by-step explanation:

Given:

Total games played = 154

The ratio of number of games won to number of games lost = $\frac{5}{2}$

Solution:

Let the number of games won be = $5x$

Thus, number of games lost = $2x$

The total games played can be given as = $5x+2x=7x$

Thus, we have:

$7x=154$

Dividing both sides by 7.

$\frac{7x}{7}=\frac{154}{7}$

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3 years ago