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marta [7]
3 years ago
13

Mike wants to make meatloaf. His recipe uses a total of 5pounds of meat

Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer:

question

Step-by-step explanation:

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A system of equations is shown below:
Naddika [18.5K]
6x - 5y = 5
3x + 5y = 4
----------------add
9x = 9
x = 9/9
x = 1 <===
5 0
3 years ago
Lainey bought a set of 202020 markers for \$6$6dollar sign, 6.<br> What is the cost of 1 marker?
Galina-37 [17]

Answer:

$0.30

Step-by-step explanation:

6 / 20

0.3

Best of Luck!

4 0
3 years ago
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
We are throwing darts on a disk-shaped board of radius 5. We assume that the proposition of the dart is a uniformly chosen point
Vlad1618 [11]

Answer:

the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

Given the data in the question;

Binomial distribution

We find the probability of hitting the dart on the disk

⇒ Area of small disk / Area of bigger disk

⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

⇒ π(1)² / π(5)² = π/π25 = 1/25 = 0.04

Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

so

X ~ Bin( 2000, 0.04 )

n = 2000

p = 0.04

np = 2000 × 0.04 = 80

Using central limit theorem;

X ~ N( np, np( 1 - p ) )

we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥  \frac{100-80}{\sqrt{76.8} } )

⇒ P( X ≥ 2.28217 )

From standard normal distribution table

P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

3 0
3 years ago
(10 POINTS AND BRAINLIEST)
bekas [8.4K]

Answer:

A.) 15.60=11.40+10x

Step-by-step explanation:

okay we know kathy spent 15.60 in total at the post office

so we know 15.60 will be after the equal sign.

she paid 11.40 only on the package

and rest of money was on stamps.

15.60-11.40= 4.20

so she used 4 dollars and 20 cents for stamps if she bought 10 we need to divied 4.20/10=0.42

0.42 cents for each stamps so we need a equation that will give us this answer.

Me i go thru each one and solve for x

lucky for me i just need to solve one

because equation A solves it correctly.

15.60=11.40+10x

subtract 11.40 on both sides

15.60-11.40

4.20=10x

now we divide 10 on each side

4.20/10=0.42

x=0.42

 

5 0
3 years ago
Read 2 more answers
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