A hardware store sells power pack A, consisting of 4 D cells and 2 C cells for $12.60, and power pack B, consisting of 6 D cells and 4 C cells for $20.80. What is the price of each cell?

Answers

Answer 1

Answer:

The D cells are worth $2.20, and the C cells are worth $1.90.

Step-by-step explanation:

This can be written as:

4x + 2y = 12.60

6x + 4y =20.80

Our goal is to find one variable, then use that information to find the other.

If we multiply the top function by -1.5, we get:

-6x - 3y = -18.90

We can add this to the previous equation.

  -6x - 3y = -18.90

+ 6x + 4y = 20.80

--------------------------

             y = 1.90

The C cells are worth $1.90.

Plug this value into one of the other equations and solve for x.

4x + 2y = 12.60  

4x + 2(1.90) = 12.60

4x + 3.80 = 12.60  

4x = 8.80

x = 2.20

The D cells are worth $2.20.

Check these values in the other equation.

6x + 4y = 20.80

6(2.20) + 4(1.90) = 20.80

13.20 + 7.60 = 20.80

20.80 = 20.80

Answer 2

Answer:

  C = $1.90 each

  D = $2.20 each

Step-by-step explanation:

Given:

  Power pack A:   4D + 2C = 12.60

  Power pack B:   6D + 4C = 20.80

Isolate any one variable:

  4D + 2C = 12.60

  4D = 12.60 - 2C

  D = 3.15 - 0.5C

Substitution to find cost of C cell battery:

  6D + 4C = 20.80

  6(3.15 - 0.5C) + 4C = 20.80

  18.9 - 3C + 4C = 20.80

  18.9 + C = 20.80

  C = 1.90

Substitution to find cost of D cell battery:

  4D + 2C = 12.60

  4D + 2(1.90) = 12.60

  4D + 3.8 = 12.60

  4D = 8.8

  D = 2.20


Related Questions

5 years ago, Cheryl was d years old, Brandon is 2 years older than Cheryl.

a. how old is Cheryl

b. how old is Brandon

c. what was the difference in their ages 5 years ago?

d. what is the sum of their ages now?

e. what will the sum of their ages be two years from now?

f. what will the difference of their ages be two years from now

will mark the brainliest.

Answers

Answer: See explanation

Step-by-step explanation:

a. how old is Cheryl?

Cheryl's age = d + 5

b. how old is Brandon?

d + 5 + 2

= d + 7

c. what was the difference in their ages 5 years ago?

Cheryl age five years ago = d

Brandon's age five years ago = d + 2

Difference = d + 2 - d = 2 years

d. what is the sum of their ages now?

Cheryl's age = d + 5

Brandon age = d + 7

Sum = d + 5 + d + 7

= 2d + 12

e. what will the sum of their ages be two years from now?

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Sum = d + 7 + d + 9

= 2d + 16

f. what will the difference of their ages be two years from now

Two years from now,

Cheryl's age = d + 5 + 2 = d + 7

Brandon age = d + 7 + 2 = d + 9

Difference = Brandon age - Cheryl age

= (d + 9) - (d + 7)

= 2 years.

Which equation has a graph that is a parabola with a vertex at (-1, -1)?

Answers

Answer:

y=-1 and x=-1

Step-by-step explanation:

10x/-10y=-1 y=-1 same with x=-1

here is a different equation

12x(-1)=(144/12y)=x and y

x=-y

y=-x

-y=-1y because if there is no variable it is 1 or -1 depending if its a - Symbol

same with -x=-1x  

pls help find the amount at the end of 6 hours

Answers

Answer:

A. 7,348

Step-by-step explanation:

P = le^kt

intitial population = 500

time = 4 hrs

end population = 3,000

So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.

A = Pe^rt

3,000 = 500e^r4

now we can solve for r

divide both sides by 500

6 = e^r4

now because the variable is in the exponent, we have to use a log

[tex]log_{e}(6) = 4r[/tex]

ln(6) = 4r

we can plug the log into a calculator to get

1.79 = 4r

divide both sides by 4

r = .448

now lets plug it back in

A = 500e^(.448)(6 hrs)

A = 7351.12

This is closest to answer A. 7,348

What is the w

4w+3w=63

Answers

Answer:

7w=63

63÷7=9

so, (w=9)

Answer:

9

Step-by-step explanation:

3*9 = 27 4*9=36

36 + 27 = 63

Select all of the expressions that are equivalent to 5x + x2​

Answers

7x if you add the numbers and just keep the x the same
7x can we see the answer choices??

Question 1 of 19 - Which of the following is TRUE about how water can change earth's solid rock layer and loose material on top of it? Water can break rocks, carry rocks, and drop rocks in new locations. Water can break rocks, but cannot carry and drop them in new locations. Water can carry rocks and drop them in new locations, but cannot break rocks. Water cannot break rocks, carry rocks, or drop them.​

Answers

Answer:

Water can break rocks, carry rocks, and drop rocks in new locations.

Step-by-step explanation:

Answer:

Either the first one or the last one

Step-by-step explanation:

Try putting this question in the Science section, they could help you so much more. But I do know it is either the first or last statement that is true.

Select the three fractions that are equal to 8/14
A) 4/7
B) 48/84
C)16/28
D) 2/3
E) 24/48

Answers

Answer:

A) 4/7 and C) 16/28 and B) 48/84


Simplify
8/-3 divided by -4/9
-3
9
O -8
O -6
O 6
O 8

Answers

Answer:

6 is the answer

Step-by-step explanation:

8÷ -3 = −2.6666666667

-4÷ 9 = −0.4444444444

−2.6666666667 ÷ −0.4444444444 =6.0000000007

The answer is 6.

6 is the answer for this

A triangle with side lengths of 3, 4, and 5 units is classified as

Answers

It would be a right triangle.
scalene triangle !!!


10. The total cost of a candy bar and a bag of chips is $1.70. If the cost of a candy bar and 2 bags of chips is
$2.45, what is the cost of a candy bar?

Answers

Answer: maybe 75 cents

Step-by-step explanation:

Answer:

The cost of a candy bar is $0.75.

Step-by-step explanation:

With the provided first sentence preceded along the lines, 'total cost of a candy bar and a bag of chips is $1.70.'

--Intially, determine the quotient of 1.70 and the two quantities.

+ Result should be 0.85

Thus symbolizing .85 is the valid price of a candy bar and a bag of chips.

------------------------- Although, we are not done. -----------------------------------

Let's take the second sentence into account.

"If the cost of a candy bar and 2 bags of chips is $2.45, what is the cost of a candy bar?"

Determine the sum of .75 and (.85*2)

Alert: .75 came from subtracting 10 from the intial .85

Thus the sum is $2.45, which was stated earlier as the cost of a candy bar and 2 bags of chips.

7. Olivia purchases gifts for her mom and
grandma for Mother's Day. The first is a pair of
sunglasses for $16.35 and the second is a
bracelet. Her total is $39.75. How much did she
spend on the bracelet?
Bror Bracclet
Variable:
-
Equation:
Solution:

Answers

Answer:

Variable- it doesnt really matter. Im just going to use X.

Equation- $16.35 + x = $39.75.

The solution is $23.40

Step-by-step explanation: Basically you reverse the equation so it says $39.75 - $16.35 = x . Then you just subtract.

Answer:

$23.40

Step-by-step explanation:

To find how much she spent on the bracelet, subtract how much she spent on the pair of sunglasses from her total amount

$39.75- $16.35=$23.40

solve the following wquations for y.​

Answers

Answer:

first equation: (-3x/2)+6

second equation: (13/2)-(5x/2)

Step-by-step explanation:

is negative 9 an integer

Answers

Only fractions and decimals are not integers. therefore, negative 9 is an integer

What is the reciprocal of 5 3/4 ?
3 4/5
4/23
5 4/3
23/4

Answers

Answer:

23/4

Step-by-step explanation:

5 x 4 = 20

20 + 3 = 23

23/4

On a number line, locate and label 20℃ below zero and 20℃ above zero. What does zero represent in this situation?

Number line \/

Answers

Answer:

Real-World Positive and Negative Numbers and Zero. 20. This work is derived ... when describing and representing situations involving integers; for example, ... feedback by labeling and relabeling the number line based on different responses. ... I would locate (place) zero as far to the left as possible and use a scale of 10.

Step-by-step explanation:

I need help solving for X
The answer choices are
-9
10
-11
9​

Answers

Answer:

x = -11

Step-by-step explanation:

Equations

The image shows a right triangle with angles 70°, 90°, and x+31.

The sum of the internal angles of a triangle is 180°, thus:

70 + 90 + x + 31 = 180

Simplifying:

191 + x = 180

Subtracting 191:

x = 180 - 191

x = -11

What is the answer this is due in 10 MINUTES

Answers

Answer:

The answer is D 5

Step-by-step explanation:

because you could multiply by 5 and divide by 5

its proportional

Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%.
How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.

Answers

Answer:

The total amount that the consumer had to pay for both products was $ 94.50.

Step-by-step explanation:

Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:

(50 + 40) x 1.05 = X

90 x 1.05 = X

94.5 = X

Therefore, the total amount that the consumer had to pay for both products was $ 94.50.

Answer:

1. Evaluate the expression: $4.50

2. Expand the expression: 2.5 + 2 = 4.5 (4.50)

3. Total tax is 4.50. yes, both the evaluating and expanding got me the same answer.

4. Expanded Expression

Step-by-step explanation:

1.  0.05(50 + 40) evaluated is 4.50

2. I broke apart 4.50 into different numbers and got 2.5 + 2

3. pretty self explanatory

4. again, pretty self explanatory

Adrianna, Deon, and Yoko jogged at Eisenhower Park today. Adrianna jogs at the park every 3
days. Deon jogs at the park every 5 days. Yoko jogs at the park every 6 days. Find the least
common multiple of 3, 5, and 6 to determine how many days will pass before all three jog at
Eisenhower Park on the same day again.

Answers

Answer:the answer is 30

Step-by-step explanation hope this helped ☺️

Answer:30

Go sub to King4cookies

Step-by-step explanation:

Simplify by combining like terms.
4s - (4 - 6s)

Answers

Answer:

10s-4

Step-by-step explanation:

Answer:

I got 10s-4

Step-by-step explanation:

7. Make a box-and-whisker plot for the data. What is the upper quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50

Answers

In order to draw the Box-whisker plot, we need to rewrite the data in increasing order.

42 43 47 48 51 52 56 56 58 60 62 64 65 66

Mean of the data = (42 + 43 + 47 + 48 + 51 + 52 + 56 + 56 + 58 + 60 + 62 + 64

+ 65 + 66) ÷ 14

Mean of the data = 770 ÷ 14

Mean of the data = 55

Median = (56 + 56) ÷ 2

Median = 112 ÷ 2

Median = 56

Lowest value = 42

Highest value = 66

Range = Highest value - Highest value

Range = 66 - 42

Range = 24

Lower Quartile = 25% of the data

Lower Quartile = 48

Upper Quartile = 75% of the data

Upper Quartile = 62

A company weighs 1,096 boxes of cereal and finds that 12.5% of them weighed less than one pound. Which of
the following is the number of boxes that weighed less than one pound?

Answers

Answer:

137 boxes

Step-by-step explanation:

1096 boxes * 0.125(12.5% of boxes weighing less than a pound) = 137 boxes

How do you solve for critical value?​

Answers

The critical value is a factor used to compute the margin of error, as shown in the equations below.

To find the critical value, follow these steps.
Compute alpha (α): α = 1 - (confidence level / 100)
Find the critical probability (p*): p* = 1 - α/2.
To express the critical value as a z-score, find the z-score having a cumulative probability equal to the critical probability (p*).

3x-5y=15 find y when x=1

Answers

Answer:

-2.4

Step-by-step explanation:

3(1)-5y=15

3-5y=15

-3 -3

-5y=12

÷-5 ÷-5

y=-2.4

I'm sorry if it's incorrect! I tried!

Sixty-four is 66 2/3 percent of what number?
please answer quickly if you can

Answers

Answer:

n = 96

Step-by-step explanation:

[tex]66\frac{2}{3}[/tex] % = [tex]\frac{200}{3}[/tex] %

[tex]\frac{64}{n}[/tex] = [tex]\frac{\frac{200}{3} }{100}[/tex]

[tex]\frac{\frac{200}{3} }{100}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{64}{n}[/tex] = [tex]\frac{2}{3}[/tex]

2n = 192 ⇒ n = 96

Find the y-intercept of the following equation. Simplify your answer.

y = x + 4/7

Answers

the y intercept should be 4/7 because that is your b in slope intercept form

What is the answer for the quotient

Answers

Answer:

0.91666666666

Step-by-step explanation:

if its wrong tell me

Answer:

10

Step-by-step explanation:

Strategy Keep change flip

Only use this strategy when dividing fraction not adding subtracting or multiplication

5/6 ÷1/12 would change to 5/ times 12/1

5/6 times 12/1 =60/6.

That an improper fraction so you see how many times 6 goes into 60 which is 10 times so the answer is 10

Hope I helped

Find the y-intercept of the following equation. Simplify your answer.

y = x − 8

Answers

Answer:

Y can be anything

Step-by-step explanation:

Answer:

Step-by-step explanation:

-8

In the triangles, Line segment G K is-congruent-to line segment P N and Line segment G H is-congruent-to line segment M P.

Triangles G H K and P M N are shown. The length of side H K is 32 centimeters. The length of side M N is 40 centimeters. The lengths of sides H G and M P are congruent. The lengths of sides G K and P N are congruent.

Which statement correctly compares the angles?

Angle G is congruent to angle P.
Angle G is smaller than angle P.
Angle G is larger than angle P.
Angle G is congruent to angle N.

Answers

Answer:

B). Angle G is smaller than Angle P

Step-by-step explanation:

Given that,

GK ≅ PN,

GH ≅ MP

HK = 32 cm

MN = 40cm

and the other lengths are congruent.

This suggests that although the triangles are congruent yet they are not similar. Hence, the second statement correctly compares the angles that 'angle P is greater than angle G.'

Answer:

The answer is B

Step-by-step explanation:

Edg 2020

Middle School had 480 students. At the end of the

year, it had 504 students. What is the percent of

change in the enrollment?​
explain.

Answers

Answer:

there is a 5% increase

Step-by-step explanation:

say 480=100%

4.8=1%

divide 504 by 4.8 you get 105,

so 504=105%

this is 5 more than 100 therefore 5%

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