Chords ab and bd form an inscribed angle of 5x degrees. If mad = 70, what is the value of x?

5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in

hram777 [196]

X: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice

4 0

4 years ago

Algebra 1 Please help! thank u sm

olga_2 [115]

Answer:

1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.

2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.

3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.

Step-by-step explanation:

I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:

When you multiply, you add.

When you divide, you subtract.

When there are parentheses, you multiply.

In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.

Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!

7 0

3 years ago

4 times a number is decreased by 9, the result is the same as when 15 is added to twice the number. find the number

igor_vitrenko [27]

Answer:

12

Step-by-step explanation:

4*x-9=2x+15

4x-9=2x+15

-2x -2x

2x-9=15

2x=24

x=12

5 0

3 years ago

When the domain of a function has an infinite number of values, the range always has an infinite number of values. True or false

iragen [17]

Answer:

Thus, the statement is False!

Step-by-step explanation:

When the domain of a function has an infinite number of values, the range may not always have an infinite number of values.

For example:

Considering a function

$f(x) = 5$

Its domain is the set of all real numbers because it has an infinite number of possible domain values.

But, its range is a single number which is 5. Because the range of a constant function is a constant number.

Therefore, the statement ''When the domain of a function has an infinite number of values, the range always has an infinite number of values'' is FALSE.

Thus, the statement is False!

3 0

3 years ago

A square has an area of 16 square ft what would be the measurement of its side

juin [17]

Answer:

4ft

Step-by-step explanation:

to get the area of a square you multiply the sides together so you just find the square root of the area

8 0

3 years ago

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