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kirill [66]
3 years ago
12

7.

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

A.  

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Joe is using the function E= 1.89x + 2.89y to minimize his expenses when selling
stepan [7]

Answer:

(d)\ \$13.34

Step-by-step explanation:

Given

E = 1.89x + 2.89y -- Objective function

Constraints:

2x + y > 10

x + 2y > 8

x,y>0

Required

Minimum value of E

To do this, we apply graphical method

See attachment for plots of 2x + y > 10 and x + 2y > 8

From the attached plot, the point that satisfy x,y>0 is:

(x,y) = (4,2)

So, we have:

E = 1.89x + 2.89y

This gives:

E =1.89 * 4 + 2.89 * 2

E =7.56 + 5.78

E =13.34

7 0
3 years ago
Rosa wants to use $25.00 to buy games. The inequality
Dafna11 [192]

Answer:

she can buy 5 roses

Step-by-step explanation:

8 0
3 years ago
Simplify <img src="https://tex.z-dn.net/?f=%28r%5Cfrac%7B1%7D%7B2%7D4" id="TexFormula1" title="(r\frac{1}{2}4" alt="(r\frac{1}{2
Katena32 [7]

Hello!!

════ ⋆★⋆ ════

\mathbb{A~N~S~W~E~R~:}

= r · 2

➡ \Huge \sf \mathbb \color{}\underline{\colorbox{ANSWER~WITH~EXPLANATION ~!}{}}

\mathfrak{apply~the~fraction~rule:  }   a \frac{b}{c} =\frac{a~. ~b }{c}

\mathfrak{apply~rule:  }  a · 1 = a

r · 1 · 4 = r · 4

=\frac{r~.~4}{2}

\mathfrak{divide~the~numbers~:  } \frac{4}{2} = 2

= r · 2

So, your answer will be is :

= r · 2

\color{}{Hope\:it\:helps. ..}

#LearnWithBrainly

\mathbb{A~N~S~W~E~R~:}

\mathfrak{Jace}

4 0
3 years ago
A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =
Sholpan [36]

This is a linear relationship. The slope-intercept form of the linear equation is:

y=mx+c

Where,

  • m is the rate of change (positive if increasing rate and negative if decreasing rate)
  • c is the y intercept, or the initial value

<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>

<u><em>Initial value is 50 quarts, so c is 50.</em></u>

Plugging in the values we get y=-2.5x+50.


Changing variables to w instead of y and t instead of x, gives us,

w=50-2.5t. Where w is warts of water left in the tub and t is the time in minutes.


There is no viable solution when t=30 because at t=20, w=0 (0=50-2.5(20)). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.


ANSWER:

Modelling equation: w=50-2.5t

When t=30, there is no VIABLE solution

5 0
3 years ago
Read 2 more answers
Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
3 years ago
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