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sergeinik [125]
3 years ago
7

1/3 + a = 5/4 What does the a equal?

Mathematics
2 answers:
liraira [26]3 years ago
8 0

Answer:

a = \frac{11}{12}

Step-by-step explanation:

In order to find the value of a we just solve the equation as follows....

\frac{1}{3}  + a = \frac{5}{4} \\

a = \frac{5}{4} - \frac{1}{3}

a = \frac{15}{12} - \frac{4}{12}

a = \frac{11}{12}

alekssr [168]3 years ago
4 0

Answer:

1/3 + a = 5/4 = 4/15

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Identify the restrictions on the domain of f(x) = x+2/x-3<br> x≠-2<br> x≠2<br> x≠-3<br> x≠3
erma4kov [3.2K]

Answer:

  x ≠ 3

Step-by-step explanation:

The denominator of ...

  f(x) = (x+2)/(x -3)

is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.

The restriction is: x ≠ 3.

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Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:

  f(x)=\dfrac{x+2}{x-3}

the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.

4 0
3 years ago
Find the degree of this polynomial. .<br><img src="https://tex.z-dn.net/?f=%20-%205%20%7Bu%7D%5E%7B4%7D%20" id="TexFormula1" tit
Firlakuza [10]

Answer:

4

Step-by-step explanation:

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5 0
3 years ago
I need step by step solution.
iren2701 [21]

Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

4 0
2 years ago
7. Assume two people, Swanson and Suzie, are standing 35 feet apart and are watching a boat
kolbaska11 [484]

Answer:

78.4 ft

Step-by-step explanation:

Part I:

Missing angle = 180° - (130 + 30) (sum of angles in a triangle)

= 180° - 160°

Missing angle = 20°

Part II: distance (d) from Swanson to the boat

Law of Sines is given as:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

Where,

a = d

A = 130°

b = 35 ft

B = 20°

Plug in the values and solve for d

\frac{d}{sin(130)} = \frac{35}{sin(20)}

Multiply both sides by sin(130) to make d the subject of the formula

\frac{d}{sin(130)}*sin(130) = \frac{35}{sin(20)}*sin(130)

d = \frac{35*sin(130)}{sin(20)}

d =  78.4 ft

7 0
3 years ago
Read 2 more answers
Which option is the best. Use math to support ur answer.
snow_tiger [21]

Answer:

The option A has the cheapest price of the liter, so it is the better buy.

Step-by-step explanation:

The best buy is going to be the one with the lowest liter price.

The liter price of each option can be found by a rule of three problem:

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

For each option, in this problem, the measures are:

- The number of liters bought

- The total cost

As the number of liters bought increases, so will the total cost. It means that the relationship between the measures is direct.

Option A:

2 liters - $1.29

1 liter - x

2x = 1.29

x = \frac{1.29}{2}

x = 0.645

In option A, each liter costs $0.645

Option B

A six pack of half a liter was bought. So in all, 3 liters were bought.

3 liters - $2.99

1 liter - x

3x = 2.99

x = \frac{2.99}{3}

x = $0.997

In option B, each liter costs $0.997

Option C

A 12 pack of half a 0.35 liter was bought. So in all, 4.2 liters were bought

4.2 liters - $3.50

1 liter - x

4.2x = 3.50

x = \frac{3.5}{4.2}

x = $0.8333

In option C, each liter costs $0.8333

The option A has the cheapest price of the liter, so it is the better buy.

7 0
3 years ago
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