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Varvara68 [4.7K]
2 years ago
7

The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews

totaling 12 grams. a. How many calories do you consume? You consume calories. b. How many cashews are in one serving? There are cashews in one serving.
Mathematics
1 answer:
RoseWind [281]2 years ago
4 0

Answer:

there are 161 calories in 28 gram,then:

one gram of dry roasted cashews contains=161/28=5.75 calories

You eat 12 gram of it, =12*5.75=69 calories


9 cashews  has 12gram, then:

one gram of dry roasted cashews contains= 9/12 = 0.75 cashews

there are total of 28gram in one serving.

Therefore cashews in one serving = 0.75*28=21cashews

a)69 calories

b)21cashews

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Person A buys 10 granola bars and 6 cups of yogurt for 518 Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the
Alja [10]

Person A buys 10 granola bars and 6 cups of yogurt for <em>$18</em>

Person B buys 5 granola bars and 4 cups of yogurt for <em>$9.50</em>

Let <u>x</u> represent the granola bars

Let <u>y</u> represent the yogurt

10x + 6y = 18 << ( Divide both sides by 2 )

The second equation is 5x + 4y = 9.50. Now subtract the two equations.

5x + 4y = 9.50

-5x - 3y = -9

         y = $.50

5x + 3(.50) = 9

5x + 1.50 = 9

5x = 7.5

  x = $1.50

I hope this answered your question  

Please remember to rate my answer and comment bellow if you have any questions

4 0
2 years ago
herlene has 5.05 in quarters and dimes. The number of quarters is one more than twice the number of dimes. Find the number she h
VLD [36.1K]

Answer:

<em>Herlene has 8 dimes and 17 quarters</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of dimes Herlene has

y = number of quarters Herlene has

Since each dime has a value of $0.10 and each quarter has a value of $0.25, the total money Herlene has is 0.10x+0.25y.

We know this amount is $5.05, thus:

0.10x + 0.25y = 5.05        [1]

It's also given the number of quarters is one more than twice the number of dimes, i.e.:

y = 2x + 1        [2]

Substituting in [1]:

0.10x + 0.25(2x + 1) = 5.05

Operating:

0.10x + 0.5x + 0.25 = 5.05

0.6x = 5.05 - 0.25

0.6x = 4.8

x = 8

From [2]:

y = 2*8 + 1 = 17

y = 17

Herlene has 8 dimes and 17 quarters

4 0
1 year ago
A store sells yogurt in small, medium, and large sizes. A small yogurt costs $2, a medium costs $3, and a large costs $5. In one
lidiya [134]
Let S = number of small yogurts ($2 each).
Let M = number of medium yogurts ($3 each)
Let L = number of large yogurts ($5 each)

Total yogurts is 27, therefore
S + M + L = 27

Total revenue generated is $98, therefore
2S + 3M +5L = 98

There are five more large yogurts than small yogurts, therefore
L = S + 5, or
-S + L = 5

These three equations may be written as the matrix equation
[  1   1   1  | |S|      |27|
|  2  3  5 | |M| =   |98|
| -1   0  1 | |L|       | 5|

The determinant of the matrix is
D = 3 - (2+5) + 3 = -1.

Solve with Cramer's Rule to obtain
S = -[27*3) - (98-25) - 15]
   = 7
M = -[(98-25) - 27(2+5) + (10+98)]
    = 8
L = -[15 - (10+98) + 27(3)]
   = 12

Answer: 7 small, 8 medium, 12 large yogurts.
8 0
2 years ago
Which statements about the graph of the function y = (StartFraction 1 Over 3 EndFraction) Superscript x are true?
WARRIOR [948]

the function is decreasing and the y intercept is (0,1)

6 0
2 years ago
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RUDIKE [14]

Answer:

x=1\,,\,y=t\,,\,z=t

Step-by-step explanation:

A line is a one-dimensional figure that has no thickness and extends infinitely in both directions.

A line segment is a line that has two end-points and a ray is a line that has one end-point.

Given equation is x^2+y^2-z^2=1

To find : a line that lies entirely in the set defined by the given equation.

Solution:

Take x=1\,,\,y=t\,,\,z=t

Check:

L.H.S=1^2+t^2-t^2=1+0=1=R.H.S

Therefore, x=1\,,\,y=t\,,\,z=t satisfy the given equation.

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