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3 years ago

Find the exact solution for the following system of equations. 2x+3y=48 x+6y=11

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Question 2x+3y=48
Answer x = 24 + -1.5y

Question x+6y=11
Answer x = 11 + -6y

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Help please. r/5 - 6 = -1 A) r = 1 B) r = 5 C) r = 10 D) r = 25

statuscvo [17]

Hello :),

$\frac{r}{5}-6=-1 \\ \\ \frac{r}{5} =-1+6=5 \\ \\ r=5*5=25$ .

5 0

3 years ago

Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought

dolphi86 [110]

Answer:

30 is the cost of clothes Kyle bought.

Step-by-step explanation:

Given: Kyle spend 1/5 of his money on clothing.

Remaining money is 120.

Lets assume the total money Kyle had be "x".

∴ Money spent on clothes = $\frac{1}{5}\times x= \frac{x}{5}$

Now, putting up value in the equation to find the total amount of money.

We know, money remaining is 120

$x-\frac{x}{5} = 120$

Taking LCD subtract the fraction.

⇒ $\frac{(x\times 5)- x\times 1}{5} = 120$

⇒ $\frac{5x-x}{5} = 120$

⇒ $\frac{4x}{5} = 120$

Multiplying 5 both side

⇒ $4x= 120\times 5$

dividing 4 on both side.

∴ $x= \frac{120\times 5}{4}$

∴ x= 150

Kyle has total 150 money to spend.

Kyle spent $\frac{1}{5}$ of his total money on clothing.

⇒ cost of clothes kyle bought= $\frac{1}{5} \times 150= 30$

Hence, Kyle spent 30, which was the cost of clothes kyle bought.

6 0

3 years ago

Given the following right triangle, find cose, sine, tane sececsce, and cote. Do not

IgorLugansk [536]

Step-by-step explanation:

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=4,\ hypotenuse=10$

Substitute:

$4^2+leg^2=10^2$

$16+leg^2=100$ subtract 16 from both sides

$leg^2=84\to leg=\sqrt{84}\\\\leg=\sqrt{(4)(21)}\\\\leg=\sqrt4\cdot\sqrt{21}\\\\leg=2\sqrt{21}$

$sine=\dfrac{opposite}{hypotenuse}\\\\cosine=\dfrac{adjacent}{hypotenuse}\\\\tangent=\dfrac{opposite}{adjacent}\\\\cotangent=\dfrac{adjacent}{opposite}\\\\secant=\dfrac{hypotenuse}{adjacent}\\\\cosecant=\dfrac{hypotenuse}{opposite}$

Substitute:

$hypotenuse=10,\ opposite=4,\ adjacent=2\sqrt{21}$

$\sin\theta=\dfrac{4}{10}=\dfrac{2}{5}\\\\\cos\theta=\dfrac{2\sqrt{21}}{10}=\dfrac{\sqrt{21}}{5}\\\\\tan\theta=\dfrac{4}{2\sqrt{21}}=\dfrac{2}{\sqrt{21}}\cdot\dfrac{\sqrt{21}}{\sqrt{21}}=\dfrac{2\sqrt{21}}{21}\\\\\cot\theta=\dfrac{2\sqrt{21}}{4}=\dfrac{\sqrt{21}}{2}\\\\\sec\theta=\dfrac{10}{2\sqrt{21}}=\dfrac{5}{\sqrt{21}}\cdot\dfrac{\sqrt{21}}{\sqrt{21}}=\dfrac{5\sqrt{21}}{21}\\\\\csc\theta=\dfrac{10}{4}=\dfrac{5}{2}$

5 0

3 years ago

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $38. Tori bought three pairs of gloves and five

igor_vitrenko [27]

Answer: The price for the gloves were $5 each and the price of the hats were $7 each.

Step-by-step explanation:

2g + 4h = 38 solve by elimination

3g + 5h = 50

-3(2g + 4h) = 38(-3) -6g -12h= -114

2 (3g + 5h)= 50(2) 6g + 10h =100

0 + -2h= -14

h= 7

-6g -12(7)=-114

-6g -84 = -114

+ 84 +84

-6g =-30

g= 5

7 0

3 years ago

Olivia Mae 14 3/4 cups of Trail Mix for a trip her sister and brother ate 4/5 of the mix how much do her sister and brother eat

ozzi

Answer:

11 4/5

Step-by-step explanation:

First, I would start off by turning that dreadful mixed number into an improper fraction (it's just easier).

Multiply the whole number by the denominator and then add the numerator.

14 x 4 + 3 = 59 (this becomes your new numerator)

So what is 4/5 of 59/4?

4/5 = .8 so multiply 59/4 by .8 to get 11.8

This would be 11 4/5 as a mixed number and 59/5 as an improper fraction

4 0

3 years ago