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Nitella [24]
3 years ago
10

1. A student bought two juice pouches for $1.25 each and 3 bags of chips. Write and solve an equation to determine the cost of c

hips, c.
variable: ___________
equation: __________


solution: ____________
Mathematics
1 answer:
zvonat [6]3 years ago
8 0
<h3><u>Question:</u></h3>

A student bought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05 .write and solve an equation to determine the cost of a bag of chips,c

<h3><u>Answer:</u></h3>

variable : c (cost of 1 bag of chips )

equation: 2.5 + 3c = 5.05

solution: cost of 1 bag of chips = $ 0.85 and cost of 3 bags of chips = $ 2.55

<h3><u>Solution:</u></h3>

Given that, student bought two juice pouches for $1.25 each and 3 bags of chips

Let "c" be the price of 1 bags of chips

cost of 1 juice pouches = $ 1.25

Total cost = $ 5.05

<em><u>Therefore, we frame a equation as:</u></em>

two juice pouches x cost of 1 juice pouches + 3 bags of chips x price of 1 bags of chips = 5.05

2 \times 1.25 +3\times c = 5.05

<em><u>Solve the above equation for "c"</u></em>

2.5 + 3c = 5.05\\\\3c = 5.05 - 2.5\\\\3c = 2.55\\\\c = 0.85

Thus cost of 1 bag of chips = $ 0.85

Thus, cost of 3 bags of chips = $ 0.85 x 3 = $ 2.55

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Five added to the quotient of a number and eleven
Nikitich [7]

Answer:

5+ x/11

Step-by-step explanation:

3 0
3 years ago
The perimeter of a rectangle is 24 meters and it’s length is 3 times the width. What is the length and width of the rectangle
kolezko [41]
Length is 9meters and width is 3 meters

steps:
let's assume width of a rectangle = a meters
than length of the rectangle = 3*a= 3a
perimeter = 24 meters
formula to find perimeter: p = 2(l+w)
substitute the values of in the formula
24 = 2 (3a+a)
24 = 2(4a)
24 = 8a
24/8= a
3= a
a is width of the rectangle = 3 meters
length of the rectangle = 3* a = 3*3= 9 meters
hence and is length 9 meters and width 3 meters
3 0
3 years ago
Given the triangle below, what is mC, rounded to the nearest tenth?
svetlana [45]

Answer:

41.4

Step-by-step explanation: Since this isn't a right triangle and you're given side side side (SSS), you need the Law of Cosines.

cos(c) = (a^2 + b^2 - c^2)/2ab

(100+144-64)/2*12*10

cos(c) = 180/240

multiply both sides of the equation by cos^-1 to get ride of cos:

cos^-1(cos(c)) = cos^-1(180/240)

c = 41.4

3 0
3 years ago
Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar
xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ_{e}^2 → S_{e} ^{2}), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

                        n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u>  915.8   </u>  = 16.067

                 20+20+20-3                  57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33

4. P(F_{2; 57} ≤ F) = P(F_{2; 57} ≤ 0.33) = 0.28

I hope you have a SUPER day!

3 0
3 years ago
20 area and 4 is the height what is the base
notsponge [240]
The base is 5 because 4×5 is 20
6 0
3 years ago
Read 2 more answers
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