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dexar [7]
2 years ago
6

A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, whic

h cost $5 apiece, or tuna sandwiches, which also cost $5 apiece. The company also wants to use the entire budget. Suppose r represents the number of roast beef sandwiches it provides and t represents the number of tuna sandwiches. Which statement is correct?

Mathematics
2 answers:
Afina-wow [57]2 years ago
7 0
I don't know your options, but here are some facts:
-all their options are sandwiches, and they all cost 5 dollars.

-This means that they can buy 150/5=30 sandwiches. This will make them use the entire budget!

-I would suggest cutting the sandwiches in half, then everyone gets three halves!

and if you say r for roast beef and t for tuna, you can write:

r+t=30.

and you can distribute is freely as long as both are 0 or bigger and their sum is 30!
JulijaS [17]2 years ago
7 0

Answer:

this is not an answer, but its the options

Step-by-step explanation:

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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length
svetoff [14.1K]

The side opposite to angle B is the side that does not contact with angle B.

In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.

Therefore, the lenght of the side opposite to angle B is 4 units.

5 0
2 years ago
The segments shown below could form a triangle.
Rina8888 [55]

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

5 0
2 years ago
Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.) v = (7, −14, −3, −4), u1 =
AlexFokin [52]

Answer:

IMPOSSIBLE

Step-by-step explanation:

8 0
2 years ago
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

      P(7.2 < X  < 7.8 ) =0.93319 - 0.066807

       P(7.2 < X  < 7.8 ) =0.0866383

So

   P(A) =  1 - 0.0866383

=>  P(A) =  0.133617

5 0
2 years ago
5. You deposit $300 in an account Urat pays 1.48% annual interest. What is the balance after 1 year if the
kirill [66]

Answer:

The correct option is (A) $304.47.

Step-by-step explanation:

The formula to compute the future value (<em>FV</em>) of an amount (A), compounded daily at an interest rate of <em>r</em>%, for a period of <em>n</em> years is:

FV=A\times [1+\frac{r\%}{365}]^{n\times 365}

The information provided is:

A = $300

r% = 1.48%

n = 1 year

Compute the future value as follows:

FV=A\times [1+\frac{r\%}{365}]^{n\times 365}

      =300\times [1+\frac{0.0148}{365}]^{365}\\\\=300\times (1.00004055)^{365}\\\\=300\times 1.014911\\\\=304.4733\\\\\approx \$304.47

Thus, the balance after 1 year is $304.47.

The correct option is (A).

8 0
2 years ago
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