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larisa86 [58]
3 years ago
8

Fill in the blank with the correct term or number to complete the sentence.

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0
A. space
(I need 20 letters)
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Solve the simultaneous equations
Contact [7]

Answer:

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

7 0
3 years ago
For every $3.00 donated to a certain charity by Club A, $1.25 was donated by Club B. If the combined total amount donated to the
AleksandrR [38]

Answer:

D, $18,000.00

Step-by-step explanation:

Club A

$3 x is donated where x is the number of donations

Club B

$1.25x  is donated where x is the number of donations

The total of donations is 25500.00

Add the donations  times the dollar amount  for Club A and Club B and you get the total amount donated

$3x +$1.25x = 25500.00

Combine like terms

4.25x = 25500.00

Divide by 4.25 on each side

4.25/4.25x = 25500.00/4.25

x =6000

There were 6000 donations

We want to find Club A donation amount

$3 x is the amount donated

3*6000 = 18000

7 0
3 years ago
What if i click on the edmentum tutorial but don't do it? Can they see that too??
Zepler [3.9K]
Answer: I think so
Step by step:
5 0
3 years ago
One of the angles is 26°. The second angle is complementary to the first angle. What is the measure of the third angle?
lubasha [3.4K]
2nd is 64 3rd is 90 all 3 = 180
6 0
4 years ago
When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?
Sonbull [250]

Answer:

the reference angle is given by \frac{\pi}{3}

sine = negative

cosine = positive

tangent = negative

Step-by-step explanation:

We have been given the angle \theta=\frac{5\pi}{3}

The angle lies in Quadrant IV. Hence, in order to find the reference angle, we can subtract this angle with  2\pi

Therefore, the reference angle is given by

2\pi - \frac{5\pi}{3} \\\\=\frac{\pi}{3}

In Quadrant IV, cosine and secant functions are positive and rest trigonometric functions are negative.

Thus, we have

sine = negative

cosine = positive

tangent = negative

4 0
4 years ago
Read 2 more answers
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