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3 years ago

13

PLEASE HELP!!! it helps alot if you get this correct

2 answers:

AysviL [449]3 years ago

8 0

Answer:

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Step-by-step explanation:

Solnce55 [7]3 years ago

6 0

Answer:

A

Step-by-step explanation:

A is the answer

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John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i

Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>

$4x+2y=222$

<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>

$2x+3y=213$

<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$

Hence, y = 51

<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>

$First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30$

Hence, skiing costs $30 per hour and boating costs $51 per hour.

4 0

3 years ago

Help me class8 (surds)

Mashcka [7]

Answer:

$\cfrac{991\sqrt{2} }{80}$

Step-by-step explanation:

For a start simplify each of the roots:

$\sqrt{72} =\sqrt{36*2} =6\sqrt{2}$
$\sqrt{50} =\sqrt{25*2} =5\sqrt{2}$
$\sqrt{128} =\sqrt{64*2} =8\sqrt{2}$
$\sqrt{98} =\sqrt{49*2} =7\sqrt{2}$

Now simplify the expression in steps:

$\sqrt{72}-\cfrac{48}{\sqrt{50} } -\cfrac{45}{\sqrt{128} } +2\sqrt{98} =$

$6\sqrt{2}-\cfrac{48}{5\sqrt{2} } -\cfrac{45}{8\sqrt{2} } +2*7\sqrt{2} =$

$6\sqrt{2}-\cfrac{48*8+45*5}{5*8\sqrt{2} } +14\sqrt{2} =$

$20\sqrt{2}-\cfrac{609}{40\sqrt{2} } =$

$20\sqrt{2}-\cfrac{609*\sqrt{2} }{40\sqrt{2} *\sqrt{2} } =$

$20\sqrt{2}-\cfrac{609\sqrt{2} }{40*2 } =$

$20\sqrt{2}-\cfrac{609\sqrt{2} }{80 } =$

$\sqrt{2} (20-7\cfrac{49}{80} )=$

$\sqrt{2} *12\cfrac{31}{80} =$

$\cfrac{991\sqrt{2} }{80}$

3 0

2 years ago

Find the area of the composite figure

nordsb [41]

Answer:

162 in

Step-by-step explanation:

Split this shape into two rectangles:

The big rectangle has a base of 16 and a height of 7 (subtract 12-5=7 for height) Multiply base*height to get area of big rectangle:

16*7 = 112 in

The small rectangle has a base of 10 and a height of 5. Mulitply base*height to get area of small rectangle:

10*5 = 50 in

Add both areas together:

112+50= 162 inches

5 0

3 years ago

P(x) = 2x4 − x3 − 4x2 + 10x − 4

avanturin [10]

Answer: 2x ^4 +7x−4x ^2 −4

Step-by-step explanation:

2x ^4 −x*3−4x ^2 +10x−4

2x ^4 −3x−4x ^2 +10x−4

2x ^4 +(−3x+10x)−4x ^2 −4

2x ^4 +7x−4x ^2 −4

7 0

3 years ago

Which expression are equivalent to 6+12x

IgorLugansk [536]

Answer:

I mean you can do 2(6x+3)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers