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Nostrana [21]
2 years ago
8

Please solve soon I need this problem solved or I will miss out on a Christmas party with my friends.

Mathematics
2 answers:
bulgar [2K]2 years ago
8 0

Answer:

Go have fun at your Christmas party!

Multiple Choice= 2 points each

Short Response= 4 points each

Step-by-step explanation:

You can set up a system of equations to find out how many points each type of question is worth.

x= multiple choice

y= short response

Equation 1 (You)

23x+10y=86

Equation 2 (Your Friend)

28x+5y=76

Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.

-2(28x+5y=76)

-56x-10y=-152

Subtract both equations together.

23x+10y=86

-56x-10y=-152

-33x= -66

x=2

Now that we found x, plug it into the first equation to solve for y.

23x+10y=86

23(2)+10y=86

46+10y=86

10y=40

y=4

Each multiple choice is worth 2 points, and each short answer response is worth 4 points.

lukranit [14]2 years ago
6 0
The anwser is c your welcome
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After sitting in a refrigerator for a while, a turkey at a temperature of 34 degrees F is placed on the counter and slowly warms
Anton [14]

Answer:

  • k = 0.006
  • T = 48 °F

Step-by-step explanation:

The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...

  (31/38)^(t/35) = e^(-kt)

Taking the natural log, we find ...

  (t/35)ln(31/38) = -kt

  k = ln(38/31)/35 ≈ 0.00581711

To the nearest thousandth, this is ...

  k ≈ 0.006

Using this in the equation for temperature, we have ...

  T = 72 -38e^(-0.006t)

Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about

  T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49

  T ≈ 48 °F

The value of k is about 0.006, and the turkey temperature is about 48 °F.

4 0
3 years ago
What is the volume of the figure below in cubic meters<br><br> 756<br> 936<br> 1008<br> 1080
Papessa [141]
1080 is correct hope this helps.
3 0
3 years ago
It is known that 1.4&lt; square root of 2 &lt;1.5. Find all possible values of the expression 2-square root of 2. How do I find
horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

4 0
3 years ago
Select the equation that is the inverse of the function: f(x)= x-3/5
andrezito [222]
-1(x)= 5x+15inverse of the function
5 0
3 years ago
How to solve 76×327 step by step
hram777 [196]

Here's a method that takes advantage of the values of these particular numbers.

... 76 = 80 - 4

so

... 76 × 327 = (80 -4)×327

... = 80×327 - 4×327

Repeated doubling will give us values that are 2, 4, and 8 times 327.

... 2×327 = 327+327 = 654

... 2×654 = 4×327 = 654+654 = 1308 . . . . we'll use this later

... 2×1308 = 8×327 = 2616

We want 80×327, so we can add a zero to the end of this last:

... 80×327 = 26160

Now, we can subtract 4×327 to get 76×327

... 80×327 - 4×327 = 26160 -1308 = 24852 = 76×327

_____

More conventionally, you would multiply every digit of one number by every digit of the other and add the products according to their respective place values.

327 × 076 = (3×0)×10000 + (3×7 +2×0)×1000 +(3×6 +7×0 +2×7)×100 +(2×6 +7×7)×10 +(7×6)×1

... = 0 +21,000 +3,200 + 610 +42

... = 24,852

Note the pattern of partial products here. This is a method taught to/by practitioners of Vedic mathematics, and can be done in your head. At most, you would write down the partial product sums 21, 32, 61, and 42 to keep from having to carry more than one number in your head at a time.

5 0
3 years ago
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