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2 years ago

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Mathematics

1 answer:

Kaylis [27]2 years ago

3 0

Answer:

Adults $ 17

Students: $8

Step-by-step explanation:

Adults: x

Students: y

a) 25x + 31y = 673

b) 27x +31y = 707

Elimination:

a) -1(25x + 31y = 673) = -25 -31y = -673

a + b

= (-25 -31y = -673) + (27x + 31y = 707)

= 2x = 34

x = 34/2

x = 17

Substitution a or b:

a) 25(17) + 31y = 673

425 + 31y = 673

31y = 673 - 425

31y = 248

y = 248/31

y = 8

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Mario was given some birthday

Len [333]

The answer would be option B "he was given $50 for his birthday."

Here is how:

Y equals the amount of money in the account.

75$+50$=

75x represents the amount of money he DEPOSITS which is in the question.

So if he deposits 75$ a week (which represents X) and he adds 50$ to it which means he has 50$ to begin with which means he got 50$ for his birthday.

Also....

Because 75x already represents X therefore it wouldn't be options A, C or D.

Hope this helps!

4 0

3 years ago

In an experiment, a ball is drawn from an urn containing 12 purple balls and 13 green balls. If the ball is purple, two coins ar

UNO [17]

Answer:

4 elements of the sample space will have a purple ball

There are 10 elements altogether

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Number of purple balls = 12, number of green balls = 13, total number of balls = 12+13 = 25

Probability (a ball drawn is purple) = 12/25

If a purple ball is drawn, two coins are tossed

1 coin has 2 elements

2 coins have 2×2 = 4 elements

Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25

If a ball drawn is not purple, three coins are tossed

1 coin has 2 elements

3 coins have 3×2 = 6 elements

Total elements = 4 + 6= 10 elements

5 0

3 years ago

the polynomial 3x+5 is divided by x+2 what is the quotient, pls be quick im taking a algebra progress check due in 25 min

il63 [147K]

Answer:

The quotient of the rational function is $3 -\frac{1}{x+2}$ .

Step-by-step explanation:

We proceed to solve the expression by solely algebraic means below:

1) $\frac{3\cdot x + 5}{x+2}$ Given

2) $\frac{(3\cdot x + 5) + 0}{x + 2}$ Modulative property

3) $\frac{(3\cdot x +5) + [1+(-1)]}{x+2}$ Existence of additive inverse/Associative property

4) $\frac{(3\cdot x + 6)+(-1)}{x+2}$ Definition of addition/Commutative and associative properties

5) $\frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)$ $\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}$ / $\frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}$ /Distributive property

6) $3 -\frac{1}{x+2}$ Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result

The quotient of the rational function is $3 -\frac{1}{x+2}$ .

5 0

3 years ago

If (2 − 3i) + (x + yi) = 6, what is x + yi? 4 + 3i 4 − 3i -4 − 3i -4 + 3i 4x + 3i

Jobisdone [24]

<span>If (2 − 3i) + (x + yi) = 6, to get x + yi we subtract (2-3i) from both sides of the equation.

</span>(2 − 3i) + (x + yi) - (2 − 3i) = 6 -(2 − 3i)
(x + yi) = 6 - (2 - 3i)
Open the parenthesis taking care of the signs
(x + yi) = 6 - (2 - 3i)
= 6 - 2 + 3i
= 4 + 3i

5 0

3 years ago

Refer to the attachment and solve<br><br>hlo :(

olya-2409 [2.1K]

Answer is -50/4 hope it’s clear

7 0

3 years ago