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3 years ago

I need help solving these please help...

Mathematics

1 answer:

Ber [7]3 years ago

5 0

5) y = 2x + 7
6) y = $\frac{5}{4}$ x - 5.5

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Which expression is equivalent to 2.2 − 0.5(0.6x − 1.8) ?

yawa3891 [41]

Answer:

D is equivalent to the expression.

Step-by-step explanation:

The expression that is given equals 2.8, or 2.8x.

A. This expression equals 1.6x, and 1.6x is not equivalent to 2.8x

B. 0.3x + 3.1 = 3.4x. This doesn't have the answer of 2.8x.

C. 1.3 - 0.3x = 1 or x.

D. 3.1 - 0.3x = 2.8x. D is the answer.

8 0

2 years ago

If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43, If not, you pay me $11 (Aces

mrs_skeptik [129]

Answer:

$1.46

Step-by-step explanation:

Required cards for winning :

1's, 2's and 3's

There are 4 cards of each in a total of 52 cards ;

Therefore, number of winning cards ;

(4 * 3) = 12 cards

Hence,

P(winning) = 12 / 52 = 3 / 13

P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13

Earning (X)

Amount earned for winning = $43

Amount lost for not winning = $11

X ___ $43 ______ - $11

P(X) _ 3/13 _______ 10/13

Expected value, E(X) = ΣX*P(X)

Σ(X) = (43 * 3/13) + (-11 * 10/13)

E(X) = 9.9230769 - 8.4615384

E(X) = 1.4615385

E(X) = $1.46

8 0

2 years ago

Shannon is collecting art supplies. She has 48 crayons, 24 markers,

Ulleksa [173]

Answer:

6+3+4=13

Step-by-step explanation:

decide each number by the group and add them

3 0

2 years ago

Solve the equation : <img src="https://tex.z-dn.net/?f=%20%5Ccos%28x%29%20-%20%20%5Csin%28x%29%20%20%3D%20%20%5Csqrt%7B2%20%

Debora [2.8K]

Answer:

General solution is

$x = n \pi + \frac{\pi }{8}$

Step-by-step explanation:

Step(i):-

Given cos x - sin x = √2 cos (3 x)

Dividing '√2' on both sides , we get

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

we will use trigonometry formulas

a) Cos ( A + B) = Cos A Cos B - sin A sin B

b) $cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }$

Step(ii):-

$\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }$

$cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x$

$cos (\frac{\pi }{4}+x ) = cos 3 x$

Step(iii):-

General solution of cos x = cos ∝ is x = 2 nπ+∝

we have $cos (\frac{\pi }{4}+x ) = cos 3 x$

The general solution of $cos (\frac{\pi }{4}+x ) = cos 3 x$ is

⇒ $3 x = 2 n \pi + (\frac{\pi }{4}+x )$

⇒ $3 x- x = 2 n \pi + \frac{\pi }{4}$

$2x = 2 n \pi + \frac{\pi }{4}$

final answer:-

General solution is

$x = n \pi + \frac{\pi }{8}$

8 0

2 years ago

Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6

Dima020 [189]

5x+3x=8x
2y+2y=4y
Answer : 8x+4y

8 0

3 years ago