MATHEMATICS HIGH SCHOOL

A bag contains pennies, nickels, nickels, and nickels. There are 50 coins in total. Of the coins, 14% are pennies and 34% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?

Answers

Answer 1

Answer:

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

32% are dimes

32% of 50

32/100 x 50=(32x50)/100=1600/100=16

Dimes = 16

5 more nickels than pennies

Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

13 quarters

pennies = 8, dimes = 16, nickels = 13, quarters = 13

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Answers

c. Reduce all fractional answers to lowest terms. A line with y-intercept of 2 that is parallel to 2x + y = -5

The ordered pairs below represent a linear relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

Which of the following is a correct statement about this relation?

A. The slope of the line represented by this table is -2 and the y-intercept is -4.
B. The slope of the line represented by this table is 2 and the y-intercept is 7.
C. The slope of the line represented by this table is 2 and the y-intercept is -4.
D. The slope of the line represented by this table is -2 and the y-intercept is 7.

Answers

Answer:

Option B - The slope of the line represented by this table is 2 and the y-intercept is 7.

Step-by-step explanation:

Given : The ordered pair below represent a linear relation below x and y.

(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

The slope form is $y=mx+c$

where m is the slope of line and c is the y-intercept.

or to find slope between two points are $m=(y-y_1)/(x-x_1)$

Since they are ordered pairs so, there slopes were same

Let take points (-3,1), (-2,3)

$m=(y-y_1)/(x-x_1)$

$m=(3-1)/(-2-(-3))=(2)/(1)=2$

Therefore, the slope of the given linear function is 2

Now, we have to find y intercept we put in slope form

$y=mx+c$

$y=2x+c$

Given pairs are ordered therefore, they satisfy the above equation so let point (-2,3)

$3=2(-2)+c$

$c=3+4=7$

So, slope of the line is 2 and y-intercept is 7.

Therefore, Option B is correct.

Slope = rise/run
(-2,3) (0,7)

7-3 /0- -2 = 4/2= 2
When x = 0 y=7 intercept

Answer is B

2x²+5=13
How do you find the value of x?

Answers

2x²+5=13
subtract the 5 on both sides
2x²=8
divide by 2 on both sides
x²=4
put each side under the radical because of the exponent 2
√x²=√4
the radical cancels out the exponent 2; √4 = 2
x=2

Since 5 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 5 from both sides.
2x^2=−5+13

Add −5 and 13 to get 8.
2x^2=8

Divide each term in the equation by 2.
x^2=4

Take the square root of both sides of the equation to eliminate the exponent on the left-hand side.
x=±√4

Rewrite 4 as 2^2
x=±√2^2

Pull terms out from under the radical.
x=±2

First, use the positive value of the ± to find the first solution.
x=2

Next, use the negative value of the ± to find the second solution.
x=−2

x=2,−2

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Answers

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