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daser333 [38]
3 years ago
5

A bag of snack mix weighs 12 ounces. A serving size is 3/4

Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer:

16 servings and 1920 calories in  1 snack bag

Step-by-step explanation:

12 ounces divided by 3/4 = 16 servings

120 calories/servings x 16 servings = 1920 calories in 1 snack bag

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Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. Her friend invested the s
Natali5045456 [20]

The right system of equations to describe the situation would be on the form:

x1 = 8000 + y1*t

and

x2 = 8000 + y2*t

where x1 and x2 represents the total money of Imogene and her friend respectively at the end of t years.

Now for the value of amount earned, y1 and y2:

y1=8000*0.08

y2=2000*√(t-2)

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5 0
3 years ago
10) Choose the solution for each linear system.
hodyreva [135]

Answer:

<h2>10.  C. (2, -1)</h2><h2>11.  B. (-2, -4)</h2>

Step-by-step explanation:

10.

\left \{ {{x-2y=4} \atop {4x+2y+6}} \right.

The y values cancel out if you add the equations

5x = 10

x = 2

plug in x

2 - 2y = 4

-2y = 2

y=-1

Answer: C. (2, -1)

11.

\left \{ {{6x-2y=-4} \atop {-4x+3y=-4}} \right.

In order to get terms to cancel out, multiply the top by 3 and bottom by 2

\left \{ {{18x-6y=-12} \atop {-8x+6y=-8}} \right.

The y values cancel out if you add the equations

10x = -20

x = -2

plug in x

6(-2) - 2y = -4

-12 - 2y = -4

-2y = 8

y = -4

Answer: B. (-2, -4)

8 0
2 years ago
If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi &gt; 0 what is theta ? Repeat for sin phi &lt; 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

arctan(θ) = -2/3

  θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0
3 years ago
Question is in the picture
sukhopar [10]

Answer:

bottom right 8 x 10^1

Step-by-step explanation:

multiply the numbers (2x4 is 8)

add the exponents of 10 (-3+4 is 1)

so the answer is the bottom right 8 x 10^1

7 0
2 years ago
A rectangular field will be fenced on all four sides. There will also be a line of fence across the field, parallel to the short
Dimas [21]

Answer:

150m by 300 m

Step-by-step explanation:

150×300=45000

all sides add up to 900m

150+150+300+300

3 0
3 years ago
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