Marie mixes 16 liters of 78% acid solution with a 25% acid solution to make a 41% acid solution. How many liters of 25% solution did she use? 8 liters 12 liters 13.7 liters 37 liters

w-5.5 = -3.4

 add 5.5 to each side

w = -3.4 + 5.5 = 5.5-3.4 = 2.1

w = 2.1

the answer is 2/5, a, b

Final answer:

The percent of decrease in Aaron's score from 92 to 84 is calculated by finding the difference, dividing by the original score, and multiplying by 100, which gives approximately 8.7%.

Explanation:

To calculate the percent of decrease in Aaron's score, we first find the difference in scores, then divide by the original score, and finally multiply by 100 to get the percent change. Aaron's score decreased from 92 to 84. So, the difference is 92 - 84 = 8. The percent decrease is then (8 ÷ 92) × 100, which approximates to 8.6956521739%. Rounded to two decimal places, the closest answer is 8.7%. Therefore, the correct option is 8.7.

Answer: -148, -150

n + n + 2 = -298

2n = -300

n = -150

Answer: A. 51.9, 52, 49, 6

Step-by-step explanation:

The given data : 49, 49, 54, 55, 52, 49, 55

[tex]{\text{Mean =}\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]{\text{Mean =}\dfrac{363}{7}=51.8571428571\approx51.9[/tex]

For Median , first we arrange observations in order.

49, 49, 49, 52, 54, 55, 55

Median = Middlemost observation = 52

Mode = Most repeated observation = 49

Range = Maximum number -Minimum number

[tex]=55-49=6[/tex]

Answer:

0.004

Step-by-step explanation:

2.704 - The value of the digit 2 is 2 ones, or 2.

2.704 - The value of the digit 7 is 7 tenths, or 0.7.

2.704 - The value of the digit 0 is 0 hundredth, or 0.00.

2.704 - The value of the digit 4 is 4 thousandths, or 0.004.

Answer:

$48(0.55)

Step-by-step explanation:

The measurement of 84.8 centimeters in scientific notation is represented as 8.48 x 10² centimeters.

To express the length of an object measured as 84.8 centimeters in scientific notation, we need to place the decimal after the first non-zero digit and count the number of places the decimal has moved. Here, the decimal moves two places to the left, so the exponent will be 2. Therefore, the length in scientific notation is 8.48 x 10² centimeters.

The length of 84.8 centimeters can be written in scientific notation as 8.48 × 101 cm.

To convert the given measurement to scientific notation, move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point and use it as the exponent of 10. In this case, we moved the decimal point one place to the right, so the exponent is 1.

Final answer:

The measurement of 84.8 centimeters in scientific notation is 8.48 x 10¹ cm.

Explanation:

The length of the object in scientific notation is 8.5 x 10¹ cm.

Here's the breakdown:

Identify the significant digits: In 84.8 centimeters, both the "8" and the "4" are significant, as they contribute to the precision of the measurement. The trailing "8" is also significant because it's between two significant digits.

Move the decimal: Count the positions from the leading significant digit ("8") to the right until you reach the rightmost significant digit ("8"). In this case, there are 0 positions.

Write the exponent: Since the decimal didn't move, the exponent of 10 will be 0, but we typically write it explicitly as 10⁰.

Combine the coefficient and exponent: Combine the leading significant digit ("8") with the decimal and multiply by 10 raised to the adjusted exponent: 8.5 x 10⁰.

Therefore, the length of the object in scientific notation is 8.5 x 10¹ cm.

The allowance saved by Mike after expenditure will be equal to $43.

Equations are mathematical expressions that have two algebraic symbols on either side of the equal (=) sign.

The equality of the left and right expressions serves as an illustration of this relationship. An easy equation to remember is the left side equals the right side.

As per the data provided in the question,

Let the allowance saved by Mike is x.

Amount received on birthday = $25

And amount left = $34

Then, the equation will be,

(x + 25)/2 = 34

Solve the equation for x,

x + 25 = 38

x = 38 - 25

x = $43

To know more about equation:

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Mike had saved $43 from his allowance money before receiving $25 for his birthday and spending half of the total amount, leaving him with $34.

Mike initially had a certain amount of allowance money saved. After receiving $25 for his birthday, he then went to a toy store and spent half of his total money. Post-purchase, he has $34 remaining. To find out how much allowance money Mike had originally saved, we need to determine what half of his total money is.

We know that:

Mike has $34 left after spending half his money.

Therefore, before spending, Mike had $34 (the amount left) times 2.

$34 x 2 = $68 was the total amount Mike had before spending.

Since he received $25 for his birthday, the allowance money he had saved before his birthday was $68 - $25.

$68 - $25 = $43 was the amount Mike had saved from his allowance.