MATHEMATICS HIGH SCHOOL

A store is having a sale on walnuts and chocolate chips. For 4 pounds of walnuts and 8 pounds of chocolate chips, the total cost is $25. For 2 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $10. Find the cost for each pound of walnuts and each pound of chocolate chips.

Answers

Answer 1

Answer:

Answer:

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Step-by-step explanation:

Let,

x be the price per pound of walnuts

y be the price per pound of chocolate chips

According to given statement,

4x+8y=25 Eqn 1

2x+3y=10 Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=10)

4x+6y=20 Eqn 3

Subtracting Eqn 3 from Eqn 1

(4x+8y)-(4x+6y)=25-20

4x+8y-4x-6y=5

2y=5

Dividing both sides by 2

$(2y)/(2)=(5)/(2)\ny=2.50$

Putting y=2.50 in Eqn 2

2x+3(2.50)=10

2x+7.50=10

2x=10-7.50

2x=2.50

Dividing both sides by 2

$(2x)/(2)=(2.50)/(2)\nx=1.25$

Hence,

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

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A function is shown in the table.. . . xg(x). −22. −1−3. 02. 117. . . Which of the following statement is a true for this function? The function is increasing from x = −2 to x = −1..
The function is increasing from x = 0 to x = 1..
The function is decreasing from x = −1 to x = 0..
The function is decreasing from x = 0 to x = 1..

Answers

Only one statement is correct:
B ) The function is increasing from x = 0 to x = 1
Explanation: g ( 0 ) = 2, g ( 1 ) = 17, 2 < 17.

Answer:

The statement that is true for the function is:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

We are given a table of values for the function g(x) as:

x g(x)

-2 2

-1 -3

0 2

1 17

By looking at the table of values of the function g(x) we have:

The function g(x) is firstly decreasing from x=-2 to x=-1

Then it is increasing from x=-1 to x=1.

Hence, the statement that holds true from the given set of values of function g(x) is:

The function is increasing from x = 0 to x = 1.

( Since, the function takes the value at x=0 as g(x)=2

and the function takes the value at x=1 as g(x)=17)

4. The point

5 1/3 units from A and

2/3

units from B

Answers

Given :

A point x whose distance from A is 5 1/3 units.

distance between x and B is 2/3 units.

To Find :

Distance between A and B if they both are on left side of straight line from x.

Solution :

Let distance between A and B is d :

$d=|A-B|\n\nd=|5(1)/(3)-(2)/(3)|\n\nd=|(16)/(3)-(2)/(3)|\n\nd=(14)/(3)\n\nd=4(2)/(3)\ units$

Therefore, distance between A and B is 4 2/3 units.

Hence, this is the required solution.

Kristen spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of then how many of each kind did she buy?

Answers

There would be two fancy shirts and five plain shirts because 28 times 2 equals 56 and 7 minus 2 equals 5 so 15 times 5 equals 75 and 75 plus 56 equals 131

What is the answer?
-4.6 - 1.6 = ???