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AlladinOne [14]
3 years ago
5

What is the soulution to this system of linear equation 7x-2y=-6 8x+y=3

Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer:

(0,3)

Step-by-step explanation:

Step 1: 7x-2y=-6             Step 2: 7x-2y=-6    solve by elimination of the y value

           2(8x+y=3)2                     +(16x+2y=6)

Step 3: 23x=0, which means <u>x=0</u>

Step 4: subtitute 0 into the equation 8x+y=3

            you get 8(0)+y=3, which comes to 0+y=3

          you get <u>y=3</u>

therefore the solution to this system is (0,3)

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A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. Th
Dvinal [7]

Answer:

27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.

Step by Step:

4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.

So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7

2.7 ounces of blueberry juice in each smoothie.

Now you have to multiply every ingredient by 10, since there are 10 smoothies.

4 * 10 = 40

1.3 * 10 = 13

2.7 * 10 = 27

You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.

7 0
2 years ago
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
6) If the value of x in the above diagram equals 26, which of the following pairs of numbers does the solution fall between?
Sphinxa [80]
I am pretty sure it is D not sure though
6 0
3 years ago
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Molly works at an electronics store. Her last customer purchased a DVD player for $67.65 and five DVDs for $57.93, including tax
ra1l [238]
67.65 + 57.93 = 125.58

200.00 - 125.58 = $74.42 change back
3 0
3 years ago
NEED HELP ASAP! Question in the photo.
Sonja [21]

Answer:

SAS Postulate

Step-by-step explanation:

You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"

Side AB is proportionate to DE and

Side AC is proportionate to DF.

Angle A and Angle D are the same; and is between the two sides

I hope this helps.

6 0
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