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Alex777 [14]
3 years ago
13

A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost

is $20. For 6 pounds of walnuts and 2 pounds of chocolate chips, the total cost is 14$. Find the cost for each pound of walnuts and each pound of chocolate chips.​
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer:Walnuts cost $1.25 and chocolate chips cost $3.25

Step-by-step explanation: Make walnuts x and chocolate chips y.

3x+5y=20

6x+2y=14

Multiply the first equation by 2 and then subtract it from the second.

-(6x+10y=40)

6x+2y=14

-8y=-26

y=3.25

Plug y back into either equation and isolate x to solve for x.

6x+2(3.25)=14

6x+6.5=14

6x=7.5

x=1.25

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F(x) = x - 5; translation 7 units right
Jet001 [13]

Answer:

f(x-7) =  x -12

Step-by-step explanation:

horizontal translation 7 units right: f(x-7)

f(x) = x - 5

f(x-7) = x-7 -5 = x -12

6 0
2 years ago
Elevii clasei a IV-a au fost la patinoar. Stiind ca numarul baietilor reprezinta jumatate plus 3 din numarul copiilor si ca numa
Shalnov [3]

Step-by-step explanation:

Fie x numărul de copii

f = 10 =\:fete

b\:=\:\frac{x}{2}\:+\:3

f\:+\:b\:=\:x

10\:+\:\frac{x}{2}\:+\:3\:=\:x

20\:+\:x\:+\:6\:=\:2x

x\:=\:26\:copii\:au\:fost\:la\:patinoar

b=\frac{26}{2}+\:3

b\:=\:16\:baieti

7 0
2 years ago
What is the answer to |x-8| , with x=-7? please show work!
LekaFEV [45]

Answer:

15

Step-by-step explanation:

|-7-8| = |-15| = 15##

7 0
2 years ago
Melissa collected data from a group of people regarding whether or not they prefer turkey or ham and whether or not they prefer
dedylja [7]

Answer:

I’m pretty sure it’s B)- Z

Step-by-step explanation:

18. The correct table must display the following information.

38% prefer turkey with mayonnaise 20% prefer turkey with mustard 24% prefer ham with mayonnaise 18% prefer ham with mustard

In tables Z and W, each table totals 50 people.

To find the relative frequencies of the data in these tables, divide each number in the table by 50.

In tables X and Y, each table totals 100 people.

To find the relative frequencies of the data in these tables, divide each number in the table by 100.

The only table which is a possible representation of the data collected is table Z.

Likes Baseball

Does Not Like Baseball

Total

Likes Football Does Not Total Like Football

0.50 0.64 0.54

0.50 0.36 0.46 1.00 1.00 1.00

Mayonnaise Mustard

Total

Turkey

19 ÷ 50 = 0.38

10 ÷ 50 = 0.20

29 ÷ 50 = 0.58

Ham

12 ÷ 50 = 0.24

9 ÷ 50 = 0.18

21 ÷ 50 = 0.42

Total

31 ÷ 50 = 0.62

19 ÷ 50 = 0.38

50 ÷ 50 =1.00

3 0
3 years ago
Given ABCE is a rectangle, find the length of AD<br><br> Help me
MakcuM [25]

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = \sqrt{36+64}

      = \sqrt{100}

      = 10

Therefore, measure of side AD = 10 units

4 0
3 years ago
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