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Iteru [2.4K]
2 years ago
13

Which graph shows the solution to the system of linear inequalities?

Mathematics
1 answer:
aliina [53]2 years ago
6 0
Uhm i dont see the choices but i entered the equations into desmos and this is the answer hope it helps :))

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At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng
ludmilkaskok [199]

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
2 years ago
The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.
GREYUIT [131]

Answer:

  • <u>Option A. about 100.5ft²</u>

<u />

Explanation:

Since the <em>bases</em> must not be painted, their areas are <em>not included</em> in the calculation.

The <em>surface</em> to paint, of each pillar, is equal to the lateral area of a<em> cylinder </em>with he dimensions given.

The formula for the laeral area of a cylinder is:

        Lateral\text{ }area=2\pi \times radius \times height

Substitute including the conversion factor to convert inches to feet:

        Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2

7 0
2 years ago
What is the value of the expression below when x=4x=4? 7x^2 +8x-7 7x 2 +8x−7
Vinil7 [7]

Answer: 137

Step-by-step explanation:

The given expression: 7x^2 +8x-7

We need to find the value of the expression when x=4.

So we just use the substitution property and substitute the value of x= 4 in the given expression , we get

7(4)^2+8(4)-7\\\\= 7(16)+32-7\\\\= 112+25\\\\=137

Hence, the value of the expression at x=4 is 137.

3 0
2 years ago
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
weqwewe [10]
QR =12 because you set up a proportion 21/14=x/8 then cross multiply and get 14x=168 then you divide and get 12
6 0
2 years ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. How mu
kotykmax [81]

Answer:

<u>The amount of investment in bonds is US$ 4,500 and the amount of investment in stocks is US$ 19,500</u>

Step-by-step explanation:

Total investment in stocks and bonds = US$ 24,000

Amount of investment in bonds = x

Amount of investment in stocks = 3x + 6,000 (amount in stocks is $6,000 more than three times the amount in bonds)

For finding the value of x (amount of investment in bonds), we use this equation:

x + 3x + 6,000 = 24,000

x + 3x = 24,000 - 6,000

4x = 18,000

x = 4,500 (dividing by 4)

<u>The amount of investment in bonds is US$ 4,500</u>

Now let's find the amount of investment in stocks:

3x + 6,000 = 3 (4,500) + 6,000 = 13,500 + 6,000 = 19,500

<u>The amount of investment in stocks is US$ 19,500</u>

5 0
2 years ago
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