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3 years ago

Billy Bob and Charline are riding the Ferris wheel at the county fair. Billy Bob exits the ride when he becomes sick

Mathematics

1 answer:

FromTheMoon [43]3 years ago

7 0

Answer:

Step-by-step explanation:

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What is the solution to the system of equations below y=-3/4x+3 and y=12.

Alexandra [31]

The correct answer choice is D.

5 0

3 years ago

What the questions are asking help ASAP please

Rudiy27

Answer:

Step-by-step explanation:

A scalar is a constant value that is multiplied throughout a matrix.

e.g.

In number 1 the set up would look like this

3 * $\left[\begin{array}{ccc}3&-1&5\\2&1&-4\\-6&3&2\end{array}\right]$

To solve this, you must distribute the 3 to each value within the matrix

The solution to #1 would be

M = $\left[\begin{array}{ccc}9&-3&15\\6&3&-12\\-18&9&6\end{array}\right]$

3 0

3 years ago

Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo

kolezko [41]

Let x and y be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2x + y = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

x + 3y = 0.25

Solve for x and y. We have

y = 0.25 - 2x ==> x + 3 (0.25 - 2x) = 0.25

==> x + 0.75 - 6x = 0.25

==> 5x = 0.5

==> x = 0.1

==> y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4x + 4y = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have

(3/5 pool/hour) (t hours) = 1 pool

==> t = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

6 0

3 years ago

In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?

shusha [124]

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

$c^{2} = a^{2} + b^{2} - 2ab (cos(c))$

By inserting the values in the formula, we get

$c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )$

$c^{2} = 16 + 36 + 12$

$c^{2} = 64$

$\sqrt{c^{2} } = \sqrt{64}$

c = 8.

Therefore, the length of side c would be 8.

7 0

3 years ago

What is the value of x in the equation 3x + 2 = 5x - 8?

katrin2010 [14]

Answer:5

Step-by-step explanation:

3(5)+2=17

5(5)-8=17

X=5

5 0

2 years ago