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irakobra [83]
2 years ago
7

Problem Situation: Ben buys a table for $240. He also buys 6 chairs that all cost the same amount. His total cost is $720. What

is the price of one chair? Use the drop-down menus to complete parts A and B below.
Mathematics
1 answer:
butalik [34]2 years ago
5 0

Answer:

80 Dollars per chair

Step-by-step explanation:

Step One:

Subtract 720 by (-) 240

this should give you, 480

Step Two:

Divide 480 by 6

Which gives you your answer 80

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{5x−2y=43x−4y=−6 What is the answer
Reil [10]

Answer:

(2,3)

Step-by-step explanation:

5x - 2y = 4           (1)

3x - 4y = -4          (2)

Multiply equation 1 by 2

10x - 4y = 8                Subtract 2 from the equation on this line

<u>3x   -4y = - 6</u>

7x = 14                       Divide by 7

x = 14/7

x = 2

5x - 2y = 4

5*2 - 2y = 4

10 - 2y = 4

-2y = 4-10

-2y = - 6

y = -6/-2

y = 3

I may not have read this correctly. Please put those 2 equations on separate lines.

5 0
2 years ago
A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
Kryger [21]

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

y=-0.0625x^2+1.25x+5.75

Differentiating with respect to x we get

\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25

Equating with zero

0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10

Double derivative of the equation

\dfrac{d^2y}{dx^2}=-0.125

So, the function is maximum at x=10

y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12

The function is maximum at (10,12)

So, the truck's center should be below the point (10,12) for maximum width to pass through.

Now truck is 11 feet tall so y=11

11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14

The maximum width of the truck can be 14-6=8\ \text{ft} if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

5 0
2 years ago
AJ used a ratio of 2 teaspoons of liquid soap for every 3 gallons of water. AJ has 3 tablespoons liquid soap to mix with water.
erik [133]
The answer for this equation is 10 gallons of water
3 0
3 years ago
What is the next letter cd hi mn RS
nlexa [21]
Next letters would be WX
3 0
3 years ago
Question 7<br> Find the area of the figure,
photoshop1234 [79]

Answer:

Try splitting the figure up and use the basic area formulas to help u

Step-by-step explanation:

8 0
3 years ago
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