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Pepsi [2]
4 years ago
12

Shelly has a gift card for her favorite restaurant for $15.she wants to treat a group of friends to sandwiches at the restaurant

. Sandwiches cost $4.50 each.write an equation that models the total money Shelly owes if she buys X sandwiches after using the gift card .graph the equation.
Mathematics
1 answer:
elena-14-01-66 [18.8K]4 years ago
3 0

Answer:

The equation for that models the total money and sandwiches bought is $ 15 =  X × $4.50 , And The value of X is 3.33

Step-by-step explanation:

Given as :

The total value of gift card = $ 15

The cost of each sandwiches = $4.50

Let The number of sandwiches bought = X

So, According to question

The total value of gift card = cost of each sandwiches × number of sandwiches bought

Or, The total value of gift card = X × $4.50

Or,  $ 15 =  X × $4.50

∴       X = \frac{15}{4.50}

I.e     X = 3.33  

Hence The equation for that models the total money and sandwiches bought is $ 15 =  X × $4.50 , And The value of X is 3.33   Answer

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matrenka [14]

Answer:

y >   \boxed{\cfrac{42}{5} }

Step-by-step explanation:

Given inequality:

\cfrac{y}{3} > 7 - \cfrac{y}{2}

To solve for <em>y.</em>

Solution:

Rewrite the inequality as,

  • \displaystyle \frac{1y}{3}  >   \frac{ - 1}{2} y + 7

Adding 1/2y to both sides,

  • \cfrac{1}{3} y +  \cfrac{ 1 }{2} y >  \cfrac{ - 1}{2}y  + 7 +  \cfrac{1}{2} y

  • \cfrac{5}{6} y > 7

Multiplying both sides by 6/5:

  • \cfrac{6}{5}  \times  \cfrac{5}{6} y >  \cfrac{6}{5}  \times 7

  • y >   \boxed{\cfrac{42}{5} }

Value of y is 42/5.

7 0
2 years ago
40 POINTS AVAILABLE
vazorg [7]

Answer:

The area of the shaded region is (486\pi-648)\ units^{2}

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the larger circle minus the area of the square plus the area of the smaller circle

Step 1

<em>Find the area of the larger circle</em>

The area of the circle is equal to

A=\pi r^{2}    

we have

r=AB=18\ units

substitute in the formula

A=\pi (18)^{2}=324\pi\ units^{2}

step 2

<em>Find the length of each side of square BCDE</em>

we have that

AB=18\ units

The diagonal DB is  equal to

DB=(2)18=36\ units

Let

x------> the length side of the square BCDE

Applying the Pythagoras Theorem

36^{2}=x^{2} +x^{2}\\ 1,296=2x^{2}\\ 648=x^{2}\\ x=\sqrt{648}\ units

step 3

<em>Find the area of the square BCDE</em>

The area of the square is

A=(\sqrt{648})^{2}=648\ units^{2}

step 4

<em>Find the area of the smaller circle</em>

The area of the circle is equal to

A=\pi r^{2}

we have

r=(\sqrt{648})/2\ units

substitute in the formula

A=\pi ((\sqrt{648})/2)^{2}=162\pi\ units^{2}

step 5

Find the area of the shaded region

324\pi\ units^{2}-648\ units^{2}+162\pi\ units^{2}=(486\pi-648)\ units^{2}

7 0
3 years ago
Write an equation in slope-intercept form of the line with the given characteristics:
kobusy [5.1K]

Answer:

1. y = -3x + 5

2. y = 1/4x - 2

Step-by-step explanation:

y=mx+b

1. 5 = -3(0) + b, so b = 5

y = -3x + 5

2. (-2-(-1))/(0-4) = -1/-4 = 1/4

-2 = 1/4(0) + b, so b = -2

y = 1/4x - 2

5 0
4 years ago
Read 2 more answers
What type of graph is this?​
vaieri [72.5K]

Answer:

Hello!

~~~~~~~~~~~~~~~~~

That would be parabola.

~~~~~~~~~~~~~~~~~

Step-by-step explanation: The graph of the quadratic polynomial is a parabola, with the horns pointing upwards if a > 0 or downwards if a < 0. Observe on the graph the behavior of the roots as you change the other two coefficients, b and c. Thus, it is a parabola.

Hope this helped you! Brainliest would be nice!

5 0
3 years ago
An algebraic expression is called ____ when substituting a specific value for one of its variables results in no answer, either
Studentka2010 [4]

Answer:

Integer

Step-by-step explanation: just know

8 0
3 years ago
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