how do I add odd number fractions for example 5/9 and 3/5?
Answers
Answer:
if the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find at least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with common denominator. Then add and simplify
Answer:
\(\frac{52}{45}\) or \(1\frac{7}{45}\)
Step-by-step explanation:
In order to add two fractions with different denominators, you will have to find its least common denominator (LCD):
The LCD of 9 and 5 is 45.
Next, we'll start with 5/9:
Divide 45 by 9, which results in 5. Then, multiply the numerator by 5:\(\frac{5}{9} = \frac{5*5}{45} = \frac{25}{45}\)
The same goes with 3/5:
Divide 45 by the denominator, 5, then multiply 5 by the numerator 3:
\(\frac{3}{5} = \frac{9*3}{45} = \frac{27}{45}\)
Now, we can finally add 25/45 and 27/45 since they have the same denominator. Doing so results in a sum of 52/45:
\(\frac{25}{45} + \frac{27}{45} = \frac{52}{45}\)
If you have to transform 52/45 into a proper fraction (which will result in a mixed fraction), then it will be \(1\frac{7}{45}\).
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Related Questions
There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
Answers
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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3. What would you expect the relationship between the length of a baby at birth and
the month in which the baby was born to be?
A positive correlation
B negative correlation
C no correlation
Answers
What is the value of y in the triangle ?
Answers
Answer:
c
Step-by-step explanation:
hope it helps
A.5x=3x
B.5=3
how can we get equation B from equation A?
Answers
9514 1404 393
Answer:
divide by x
Step-by-step explanation:
To answer your question, you can get from A to B by dividing by x:
\(5x=3x\\\\\dfrac{5x}{x}=\dfrac{3x}{x}\qquad\text{only if $x\ne0$}\\\\5=3\)
However, this is only a valid operation if x ≠ 0. In this equation, x = 0, so that division is not valid.
__
A better approach to the solution is to put the equation in standard form:
f(x) = 0
You can get there by subtracting 3x from both sides.
5x -3x = 3x -3x
2x = 0
Now, you can legitimately divide by 2 to find ...
x = 0 . . . . . . . . the reason why dividing by x is not allowed
Helpppppp meeee please and thank you
Answers
Answer:
a
Step-by-step explanation:
A woman weighing 130 lbs drinks 2 mixed drinks (2 oz of liquor mixed with soda) with
dinner between 7-8 pm. At 10 pm she had a glass of wine.What was her BAC at 8 pm?
Answers
Answer:
Step-by-step explanation:
The BAC (Blood Alcohol Concentration) of a person depends on several factors, such as the amount of alcohol consumed, the time over which the alcohol was consumed, and the weight and gender of the person. For this problem, we will assume that the woman has a normal metabolism and that the alcohol is completely absorbed into her bloodstream.
To calculate the BAC at 8 pm, we need to know the amount of alcohol that the woman consumed and the time over which she consumed it. We are given that she had 2 mixed drinks between 7-8 pm, which contained a total of 2 ounces of liquor. We are also given that she had a glass of wine at 10 pm, but we don't need to consider this for the BAC at 8 pm.
Using the Widmark formula, we can calculate the BAC at 8 pm:
BAC = (Alcohol consumed / (Body weight x r)) - (0.015 x Hours since first drink)
where r is the gender constant (0.55 for females) and 0.015 is the rate at which the liver metabolizes alcohol.
Plugging in the values we know, we get:
BAC = (2 oz / (130 lbs x 0.55)) - (0.015 x 1 hour)
BAC = 0.0208 - 0.015
BAC = 0.0058
Therefore, the woman's BAC at 8 pm was approximately 0.0058, which is below the legal limit for driving in most states in the US.
The t distribution is a family of similar probability distributions, with each
individual distribution depending on a parameter known as the
Group of answer choices
degrees of freedom
sample size
standard deviation
population mean
Answers
The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
How are the degrees of freedom determined?
When calculating degrees of freedom, one is subtracted from the total number of items in the data sample. Degrees of freedom are frequently addressed in relation to different types of statistical hypothesis testing, like a chi-square.The number of independent bits of information required to construct a statistic is called the degrees of freedom, which is frequently denoted by the letters v or df. It is determined by subtracting the number of constraints from the sample size.Finding essential cutoff values for inferential statistical tests requires consideration of the degree of freedom. Degrees of freedom often (but not always) relate to sample size depending on the sort of study you conduct.Hence, the t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the degrees of freedom.
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What is the slope of the line in this graph?
Answers
Answer:
5/7
Step-by-step explanation:
using the rules of rise/run, the slope is 5/7
Two buses leave Boston at the same time traveling in opposite directions. One bus travels at 53mph and the other at 64mph. How soon will they be 936 miles apart?
Answers
Answer:
8 hours
Step-by-step explanation:
because each hour that goes by the buses go a distance of 117 miles apart from each other (53+64) you must divide the total distance by the 117 mph distance for a total of 8 hours (936 / 117 = 8)
Answer:
8 hours
Step-by-step explanation:
A student ran a distance of 3 1/2 miles each day for 5 days. Then the student ran a distance of 4 1/4 miles eah day for the next 5 days. What
was the total distance in miles the student ran during these 10 days?
Answers
Answer:
3 1/2 x 5 = 17.5
4 1/2 x 5 = 22.5
17.5 + 22.5 = 40
The student ran 40 miles in those 10 days.
Answer:
38.75 or 38 3/4
Step-by-step explanation:
3 1/2 * 5 = 17.5
4 1/4 * 5 = 21.25
17.5 + 21.25 = 38.75
4(1 + 9x) theres alot lol
Answers
Answer:
4 + 36x
Step-by-step explanation:
4(1 + 9x)
= 4 + 36x
So, the answer is 4 + 36x
4(9+1)
Answer: 36x+4
5 times 100 times 105
Answers
Answer:
52500
Step-by-step explanation:
first do 5*105 to get 525 then mutiply by 100 to get 52500
write inequality shown y=-11/7x-4
Answers
Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:
y ≤ -11/7x - 4
This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.
Step-by-step explanation: .
Write the ratio12 kg to 900 g in lowest terms.
Answers
Answer:
40g : 3g
Step-by-step explanation:
12 kg : 900 g
unit conversion so that we can have the same unit in both ratios,
1 kg = 1000 g
so, 12 kg = 12000g
thus,
12000 g : 900 g
by simplifyig in lowest terms,
120 g : 9 g
40g : 3g
Which facts are true for the graph of the function below? Check all that apply.
F(x) = log7x
A. It is decreasing.
B. The x-intercept is (1,0).
C. The domain is x > 7
D. The y-intercept is (0,7).
E. The range is y> 0.
F. It is increasing.
Answers
Answer:
The x-intercept is (1,0)
It is increasing
Step-by-step explanation:
took the quiz
. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
Answers
The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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Find the surface area of the cone in terms of π.
180π cm2
108π cm2
144π cm2
90π cm2
Answers
Answer:
\(54\pi \: {cm}^{2} \)
Step-by-step explanation:
Given:
A cone
l = 15 cm
r (radius) = 3 cm
Find: A (surface area) - ?
\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)
\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} \)
Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. 3 • Parking lot: 3/4 mile • Summit: 1 1/2 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: “The total hike is three times as long as what we have already gone." a) Can they all be correct?
Answers
Answer:
Yes they can
Step-by-step explanation:
.
Tyler's statements are consistent with the given distances.
To determine if Mai, Clare, and Tyler can all be correct, we need to evaluate the statements they made in relation to the given distances.
Statement 1: Mai says, "We are one third of the way there."
The distance from the parking lot to the summit is 1 1/2 miles. If they are one third of the way there, the distance they have already traveled would be 1/3 * 1 1/2 miles = 1/3 * 3/2 miles = 1/2 mile. However, the given distance from the parking lot is 3/4 mile, which is greater than 1/2 mile. Therefore, Mai's statement cannot be correct.
Statement 2: Clare says, "We have to go twice as far as we have already gone."
If they have already gone a distance of x, then according to Clare's statement, they have to go a distance of 2x. This statement does not contradict the given distances, so it could be true.
Statement 3: Tyler says, "The total hike is three times as long as what we have already gone."
If they have already gone a distance of x, then according to Tyler's statement, the total hike would be 3x. This statement also does not contradict the given distances, so it could be true.
Based on the analysis, only Mai's statement cannot be correct. Clare and Tyler's statements are consistent with the given distances.
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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
Answers
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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5 years ago, Nina was twice as old as Sam. How many years from now will she be 1.5 years older than Sam?
Answers
Answer:
Step-by-step explanation:
x+5+5=x+10=Sam's age 2x+5+5=2x+10=Nina's age 2x+10=1.5(x+10) (In five years, Nina will be 1.5 times as old as Sam. 2x+10=1.5x+150.5x=5x=10x+5=152x+5=25.
Nina:25
Sam:15
what numbers add up to 6 but multiply to 77
Answers
Answer:
one
Step-by-step explanation:
one is the only number that evenly adds up to six and multplys to 77
Matt paid $450 in interest on a 15 month note for
$5600. Find the rate of interest paid.
Answers
Answer:
The rate is 6.43%
Step-by-step explanation:
Given
\(I = 450\) --Interest
\(P = 5600\) -- Principal
\(T= 15\ months\) --Time
Required
Determine the rate
Using simple interest formula:
\(I = PRT\)
Make R the subject
\(R = \frac{I}{PT}\)
Convert time to years
\(T= 15\ months\)
\(T =\frac{15}{12}\ years\)
\(T =1.25\ years\)
Substitute values for I, P and T
\(R = \frac{450}{5600*1.25}\)
\(R = \frac{450}{7000}\)
\(R = 0.0643\)
Convert to percentage
\(R = 0.0643*100\%\)
\(R = 6.43\%\)
2/6 - 1/3 = ?
please help
Answers
Answer:
0
Step-by-step explanation:
Answer: 0 (zero)
Explanation: 2/6 is equivalent to 1/3. A number minus the same number always equals 0.
Ahmed has a large can of applesauce. He gives 1/3 of th
applesauce to Sasha. Sasha uses 1/10 of the applesauce to bake
muffins. How much of the original container of applesauce does
Sasha use to bake muffins?
Answers
By direct multiplication of fractions, we will see that she uses 1/30 of the original container of applesauce to bake the muffins.
How to take the product of two fractions?
Remember that the product of two fractions is just:
\(\frac{x}{y} \frac{a}{b} = \frac{x*a}{y*b} \)
Now, we know that Sasha gets 1/3 of the applesauce, and she uses 1/10 of what she gets to make the muffins. So the fraction that she uses is just the product of these two:
\(\frac{1}{3}* \frac{1}{10} = \frac{1}{30} \)
This means that she uses 1/30 of the original container of applesauce to bake muffins.
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Almonds are sold in 8-ounce and 20-ounce packages. What is the least number of ounces you can buy of each package to have equal amounts of each package size?
The least number of ounces you can buy of each package to have equal amounts of each package size is ounces
Answers
Answer:
40
Step-by-step explanation:
\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)
what is the unit rate for the ratio 100 points/ 4 games?
Answers
Answer:c
Step-by-step explanation:
please help me with my online classwork!
Answers
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840David throws a ball up in the air. The graph below shows the height of the ball hh in feet after tt seconds. What is the ball’s greatest height?
HELP ASAP!
Answers
The greatest height is 9 feet.
What is projectile?
A projectile is any object thrown into space upon which the only acting force is gravity.
As, from the graph we can see that
The highest point the ball reaches shown by the coordinates (0.75, 9)
As, the maximum height is shown by y- axis(vertical axis).
Hence, the greatest height is 9 feet.
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Which expression is the simplest form of 3(2x-4)-5(2+3)÷3 ?
Answers
Answer:
-32.3333333333333333333
Answer:
The answer is in the picture below
Step-by-step explanation:
A system of equations is shown below.
y = x^2 + 2x + 8
y = –4x
What is the smallest value of y in the solution set of the system?
Answers
Answer:
y=8
Step-by-step explanation:
Substitute y=-4x in the first equation to get \(-4x=x^2+2x+8.\) This is equivalent to
\(x^2+2x+8+4x=0\\x^2+6x+8=0\\(x+4)(x+2)=0\\x+4=0 \text{ OR } x+2=0\\x=-4 \text{ OR }x=-2\)
Therefore, the values of x in the system are x=-4 or x=-2.
Substitute x=-4 in y=-4x to get
\(y=-4(-4)\\y=16.\)
Substitute x=-2 in y=-4x to get
\(y=-4(-2)\\y=8.\)
Hence, the values of y in the system are y=16 or y=8. The smaller value is y=8.