The solution to the equation y^2 = 144/169 yielding two possible solutions for y which are 12/13 and -12/13.
Step 1: Take the square root of both sides of the equation to get y. Remember that taking the square root of a square will provide you with the original value. However, since every positive real number has two square roots, one positive and one negative, your answer will have two potential values.
Step 2: The square root of 144 is 12, and the square root of 169 is 13, thus the equation becomes:
y = ± (12/13)
Therefore, the two solutions to the equation are y = 12/13 and y = -12/13.
find the range of f(x)=-3x+1 if the domain is (x=-2,7(
The perimeter of a rectangle is 108 inches. It is twice as long as it is wide.Find the length; the width.Draw the figure.
find the perimeter of the polygon with the given vertices
G(2,4), H(2,-3), J(-2,-3), K(-2,4)
Jim spends 3 1/2 days a month away from home if he does this for 6 1/2 months how many days would Jim be away from home
Jim would be away from home for approximately 23 days.
Explanation:To find out how many days Jim would be away from home, we need to multiply the number of days he spends away from home in a month by the number of months he does this for:
3 1/2 days x 6 1/2 months = (7/2) x (13/2) = 91/4 = 22.75 days
Since we can't have a fraction of a day, we round up the decimal to the nearest whole number. So, Jim would be away from home for approximately 23 days.
what is the simplified form of the expression 11[(9^2-5^2) divided by 2^2+8]
224.5
242
51.3
110
Answer:
51.3
Step-by-step explanation:
In order to calculate this, you have to remember the norms for the solution of math problems with hierarchy of operations called PEMDAS:
Parentheses (simplify inside 'em)
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
So we first solve parentheses:
11[(9^2-5^2)= 11(81-25)=11(56)= 616.
and now we have to divide that by the result of:
2^2+8
Remember first exponents:
2^2+8= 4+8=12
ANd now we just divide:
616/12=51.3333
So the answer would be 51.3
A bottle contains 240 millimeters of juice. How many litters of juice is this?
A rectangular patio has a length of 12 1/2 feet and an area of 103 1/8 square feet. What is the width of the patio?
Answer:
The answer is b. 8 1/4 feet.
Explain how to simplify the fraction 12 over 36
The fraction is, 12/36 is the fraction 12 over 36.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
the fraction 12 over 36
Is quite simple first find out what can go into 12 and 36
The factors that can go into 12 and 36 is 12.
12÷12=1
36÷12=3
So the final answer will be 1/3.
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twenty less than 8 times a number is the same as 15 more than the number in equation form
In general, the air temperature decreases 12 degrees Fahrenheit for every 4,000 feet increase altitude. If a hiker climbs 3,000 feet, by how much can she expect the temperature to increase?
The length of a rectangle is 4 inches more than its width the perimeter is 96 inches what is the length and width of the rectangle
In the seventh grade, the ratio of girls to boys is 7:5. If there are 21 girls in the seventh grade, how many boys are there?
So we are given the fraction ratio...
7 girls
---------
5 boys
if we make the fraction
21 girls
----------
x boys
equal each other, we can cross multiply and find x.
Cross multiplying means to multiply 7 times x and 21 by 5.
then we set up a little equation
7x = (21)(5) First lets solve what 21 times 5 is
7x = 105 Now we have to divide both sides by 7 to get x alone.
÷7 = ÷7 On the left side of the equation the 7 cancels and we solve on the right.
x = 15
So we know that when we have 21 girls in the 7th grade classroom we also have 15 boys.
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what is the area of the science lab table that is 60 by 48 inches in feet?
In the number 8,888.888, how does the 8 in the hundredths place compare to the 8 in the place to its left? A. The 8 in the hundredths place represents of what the 8 to its left represents. B. The 8 in the hundredths place represents of what the 8 to its left represents. C. The 8 in the hundredths place represents 100 times what the 8 to its left represents. D. The 8 in the hundredths place represents 10 times what the 8 to its left represents.
Answer: The 8 in the hundredths place represents 1/10 of the 8 to its lefts response
Step-by-step explanation:
turn 129/3930 into decimal
multiply (2.75×10−8)⋅(4.6×10−3)
A crane cable can support a maximum load of 15,000kg. If a bucket has a mass of 2,000kg and gravel has a mass of 1,500kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane?
one eighth of a number is less than or equal to 3
The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:
True
or
false
Answer:
true
Step-by-step explanation:
39.538 divided by 5.3 using standard method. Which is true
Can anyone help me with this question?
Is 2 pm how many degrees are in the angle between the hour and minute hand
At 2 pm, the angle between the hour hand and the minute hand of a clock is 20 degrees. The calculation takes into consideration that the hour hand advances as minutes pass within an hour.
Explanation:The angle between the hour and the minute hand at 2 pm can be calculated in the following way. First, remember that a full circle, representing one hour on a clock, equals 360 degrees. So, each hour equals 30 degrees (360 divided by 12 hours). However, the hour hand also moves as the minutes pass. At 2 pm exactly, the minute hand is on 12, while the hour hand is at 2. But, the hour hand has also moved 1/3 of the way between 2 and 3 (since 20 minutes have passed in the hour). It is closer to 3 by 1/3 of 30 degrees which equals 10 degrees. Hence, the hour hand is at a position of 60 degrees (2 hours times 30 degrees per hour). Therefore, the angle between the two hands at 2 pm is 20 degrees.
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What is :
1)9.4 divided by 47
2)2.583 divided by 9
3)33.8 divided by 26
4) 37.8 divided by 18
Brain teasers answer in the comments ( I'm bored just do it )
Answer:
since u don't need the answers imma just leave this here, thnx for the points :)
Step-by-step explanation:
By what percent will a fraction change if its numerator is increased by 60% and its denominator is decreased by 20%?
Answer:
It is increased by 100%. The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].
Step-by-step explanation:
We need to find the percentage, if its numerator is increases by 60% and its denominator decreases by 20%.
First, we let the original fraction: [tex]\frac{x}{y}[/tex]
We have given its numerator is increases by 60% and denominator is decreases by 20% then,
New fraction will become = [tex]\frac{1.6x}{0.8y}[/tex].
Divide the new fraction by original fraction, then we get:
[tex]\frac{1.6x}{0.8y}[/tex]/ [tex]\frac{x}{y}[/tex]
[tex]\frac{1.6x}{0.8y}[/tex]* [tex]\frac{x}{y}[/tex]
Then, it will become [tex]\frac{1.6}{0.8}[/tex].
We can see that, The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].
It is increased by 100%.
If we take an example, Suppose the original fraction is [tex]\frac{5}{8}[/tex] and the new fraction will become [tex]\frac{1.6*5}{0.8*8}[/tex].
= [tex]\frac{8}{6.4}[/tex] = [tex]\frac{80}{64}[/tex]
= [tex]\frac{10}{8}[/tex], it is twice of original fraction [tex]\frac{5}{8}[/tex].
Divide. Round to the nearest tenth if necessary:
39.39 divided by 3
Write -7 - (-4) as an addition problem. Then simplify the expression.
In order from least to greatest what is 19% 19/20 1.9% 1.9 x 10 to the power of 5
You need to rent a moving truck for a day you have identified two companies that rent trucks company a charges $45 per day plus $.10 per mile company BCharges $30 per day plus $.20 per mile for how many miles will be cost of renting be the same
1/3(12-24v)=-2(4v-2)
Solve the equation for 15 points PLEASE HELP!!!!!!!
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).
Answer: A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
what property was used to rewrite the polynomial expression (x+5)+3(a+(6x)y) to 5+(x+3a+(18x)y)