How to solve this problem. What is 1/4 + 1/6=?
Answers
According to the given problem we have to solve a sum of heterogeneous fractions:
\(\frac{1}{4}+\frac{1}{6}=\frac{6+4}{24}=\frac{10}{24}=\frac{5}{12}\)The answer is 5/12.
Related Questions
David is making lemonade. He needs a cup of sugar for container of lemonade. One pack of
sugar has 8 cups of sugar. How many cups of packs does David need to make 32 containers
of sugar?
Answers
Answer:
32÷8=4
Step-by-step explanation:
1 pack of sugar is 8 and he needs 32 so 32 divided by 8 of 1 pack will then get you 4 packs he will need.
(right answer using ALGEBRA will get lots of points and brainliest!)
There are 23 boys and 35 girls on the school’s track and field team. After q boys and (q+4) girls graduate at the end of this year, the probability of selecting a boy at random to represent the school for an event becomes 2/5. Find the value of q.
Answers
Answer:
q=7
Step-by-step explanation:
So, right now, there are 23 boys and 35 girls.
After q boys and q+4 girls graduate, the probability of selecting a boy at random is 2/5. In other words, we can write the following equation:
(23-q)/(58-q-(q+4))=2/5
The numerator represents the number of boys after graduating.
The denominator represents the total numbers after boys and girls graduate. The 58 is the current total (23+35) and the -q and -(q+4) is the amount of students that will graduate. Now, find q:
(23-q)/(58-q-q-4)=2/5
(23-q)/(54-2q)=2/5
Cross multiply:
5(23-q)=2(54-2q)
115-5q=108-4q
-5q=-7-4q
-q=-7
q=7
We can check this: 23-7=16 and 35-11=24. 16/(24+16)=16/40=2/5
Answer:
7Step-by-step explanation:
Total students = 23 + 35 = 58
Now, it becomes,
\(58 - (q + q + 4)\)
\( = 58 - (2q + 4)\)
When there is a (-) in front of an expression parentheses , change the sign at each term .
\( = 58 - 2q - 4\)
Collect like terms
\( = 54 - 2q\)
Again,
\( \frac{23 - q}{54 - 2q} = \frac{2}{5} \)
Apply cross product property
\(5(23 - q) = 2(54 - 2q)\)
\(115 - 5q = 108 - 4q\)
Move variable to L.H.S and change its sign
\( - 5q + 4q + 115 = 108\)
Move constant to R.H.S and change its sign
\( - 5q + 4q = 108 - 115\)
Calculate the sum or difference
\( - q = - 7\)
The difference sign (-) will be cancelled in both sides
\(q = 7\)
Hope this helps...
Good luck on your assignment ..
If (-2, b) is a point on the graph of 2x + 3y = 2, what is b?
Answers
Consequently, b must have a value of -3.The following points should be located on the cartesian plane: (0,a), (a,0), (-a, 0), (0,-a)..
What is b?How to calculate a line's equation given two points:Make use of the slope formula to determine the slope.
To find the y-intercept (b), use one of the points and the slope.
The slope-intercept form of a line is y = mx + b, and you may obtain the equation for the line by plugging in the values for m and b once you have those values.
On the graph of 2x + 3y = - 5, 2,b) is located.
To estimate
The amount b
Given that (2,b) is located on the graph of 2x + 3y = 5,
hence, we do
( 2 × 2 ) + ( 3 × b ) = - 5
⇒ 4 + 3b = - 5
⇒ 3b = - 9
⇒b = - 3
Consequently, b must have a value of -3.
The following points should be located on the cartesian plane: (0,a), (a,0), (-a, 0), (0,-a)...
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How many different sums of money can be made from 4coins of different denomination
Answers
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsA repair shop charges $50 per hour. This week it is offeringa $20 discount. The equation c = 50h - 20 represents thetotal cost, c, of a job taking h hours. What is the total costof a job that takes 6 hours?
Answers
The cost to repair is based on hours of work ($50 per hour)
nd the total cost for repair this week is reduced by $20 according to the offer.
Using the formula: C = 50 h - 20
we can find the total cost of a repair that takes 6 hours by doing:
C = 50 (6) -20 = 300 - 20 = 280
So the repair job will cost $280
Problem
Let \(\alpha\) and \(\beta\) be the solutions of the quadratic equation \(2x^2-6x-7=0\). Find the value of \(\frac{\alpha^3}{\beta}+\frac{\beta^3}{\alpha}\).
Answers
Answer:
\(-\dfrac{463}{7}\)
Explanation:
Given equation: 2x² - 6x - 7 = 0
In quadratic equation: ax² + bx + c
\(Sum \ of \ roots : \alpha + \beta = \dfrac{-b}{a}\)
\(product \ of \ roots : \alpha \beta = \dfrac{c}{a}\)
So, here given:
\(Sum : \alpha + \beta = \dfrac{-(-6)}{2} = 3\)
\(Product : \alpha \beta = \dfrac{-7}{2} = - 3.5\)
For finding value:
\(\dfrac{\alpha^3}{\beta } + \dfrac{\beta^3 }{\alpha }\)
join fractions
\(\dfrac{\alpha^4+ \beta^4}{\alpha \beta }\)
factor out
\(\dfrac{(\alpha^2 + \beta ^2)^2 -2\alpha ^2 \beta ^2 }{\alpha \beta }\)
when factored more
\(\dfrac{((\alpha + \beta)^2 -2\alpha \beta )^2 -2(\alpha \beta)^2 }{\alpha \beta }\)
insert values inside
\(\dfrac{((3)^2 -2(-3.5) )^2 -2(-3.5)^2 }{-3.5 }\)
calculate for value
\(-\dfrac{463}{7}\)
If m 4 = (3x + 7) , and m 5 = (9x 43) , find m UPS.
Answers
Two angles whose sum is 180° are called supplementary angles. The measure of ∠UPS is 151°.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Since ∠4 and ∠5 form a line, therefore, the two lines are supplementary to each other. Thus, the sum of the two angles can be written as,
∠4 + ∠5 = 180°
(3x + 7) + (9x - 43) = 180
3x + 7 + 9x - 43 = 180
3x + 9x + 7 - 43 = 180
12x - 36 = 180
12x = 180 + 36
12x = 216
x = 216 / 12
x = 18
Now, the measure of ∠UPT can be written as,
∠UPT = ∠4
∠UPT = 3x + 7
= 3(18) + 7
= 54+7
= 61°
Further, since the ∠UPS is formed of ∠UPT and ∠TPS, therefore, we can write,
∠UPS = ∠UPT + ∠TPS
= 61° + 90°
= 151°
Hence, the measure of ∠UPS is 151°.
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One-half a number minus 6 is 4
Answers
Answer:
the answer is 20
20/2 = 10
10- 6 =4
Could somebody please help it’s due in a couple of minutes, and please no links
Answers
Answer:
no solution
Step-by-step explanation:
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
Answers
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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An open box is made from a 40 -cm by 50-cm piece of tin by cutting a square from each corner and folding the edges. The area of the resulting base is 1496cm squared. What is the length of the sides of the squares?
Answers
The length of the sides of the squares is 3 cm.
What is a rectangle?A rectangle is a quadrilateral with all four interior angles 90°.
Given that, the dimension of the rectangular tin piece is 40 cm by 50 cm.
Let the length of the sides of the square is x.
Then, the dimensions of the resulting rectangular base are (40 - 2x) by
(50 -2x).
Given that, the area of the resulting base is 1496 square cm.
Therefore, it follows:
(40 - 2x)(50 -2x) = 1496
2000 - 80x -100x + 4x² = 1496
4x² - 180x + 2000 -1496 = 0
4x² - 180x + 504 = 0
x² - 45x + 126 = 0
x² - 42x - 3x + 126 = 0
x(x- 42) - 3(x - 42) = 0
(x - 3)(x - 42) = 0
x-3 =0 or x - 42 = 0
x = 3 or x = 42
Note that the dimension of the rectangular tin piece is 40 cm by 50 cm, therefore, x = 42 cm cannot be the length of the square.
Hence, the length of the sides of the squares is 3 cm.
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Which values are solutions to the inequality below? Check all that apply.
x < 64
O A. 9
11
B. 66
C. 64
D. 6
E. 8
F. no solutions
Answers
Please explain how to do it too ill give brainliest
Answers
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
What is the name of the line that you use to define a parabola?
A. Focus
B. Parallel
C. Perpendicular
D. Directrix
Answers
Answer:
Its D
Step-by-step explanation:
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called..... Directrix
The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm.
Answers
Step-by-step explanation:
To work out the height of the cuboid, we need to use the formula:
Volume = Length x Width x Height
We have been given the volume and the length, so we can substitute those values into the formula:
540 = 6 x Width x Height
Now we need to convert the width from millimeters to centimeters, so we divide it by 10:
150mm ÷ 10 = 15cm
Substituting this value into the formula:
540 = 6 x 15 x Height
Simplifying:
540 = 90 x Height
Dividing both sides by 90:
6 = Height
Therefore, the height of the cuboid is 6cm.
Let’s pretend the economy is in a horrible recession, inflation is rising, and interest rates are sky-high. As the chair of the Fed, what monetary role are you going to take? Why?
Answers
Answer:
Step-by-step explanation:
Well as the chair of the fed i would need to mandate things to help have maximum employment fair stable prices and to help moderate long term interest rates. The monetary role im going to take is commodity based money.
A recipe for limeade calls for 10 limes, 0.25 cups of sugar, 1 quart of water, and 1 sprig of mint, and yields eight 4-fluid-ounces servings. How many limes would you need to make fifteen 0.75 cups servings of limeade.
Answers
0.9375 limes are required to make 0.75 cups servings of limeade.
Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.
Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.
⇒ 10 limes make up 8 cups
Number of limes required for 1 cup of limeade = 10/8
= 1.25 limes
Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75
= 0.9375 limes
Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.
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Steve and Sally have $120. If it is partitioned in the ratio 4:1 and Steve receives the lesser amount. how much money will Sally get?
Answers
Which is more, 6 liters or 6,001 milliliters?
Answers
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
Put these fractions into ascending order (smallest to largest): 8/15 2/15 9/15 6/15 12/15
Answers
Answer:
2/15 6/15 8/15 9/15 12/15
Step-by-step explanation:
Answer: 2/15, 6/15, 8/15, 9/15, 12/15.
Step-by-step explanation:
Just treat the denominators like they are not there for now, and treat the numerators like they are whole numbers and then rearrange:
8, 2, 9, 6, 12
Now rearrange from smallest to largest:
2, 6, 8, 9, 12
Now just put the denominators back in under the arranged numbers:
2/15, 6/15, 8/15, 9/15, 12/15
Words and their definitions:
Numerator: Top part of the fraction
Denominator: Bottom part of the fraction
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 46 ounces and a standard deviation of 11 ounces.
Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions.
a) 68% of the widget weights lie between________and_______
b) What percentage of the widget weights lie between 24 and 57 ounces?
c) What percentage of the widget weights lie below 79
Answers
Using the Empirical Rule, it is found that:
a) 68% of the widget weights lie between 35 and 57.
b) The percentage is 81.5%.
c) The percentage is 99.85%.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.For this problem, we have that:
In item a, 68% of the widgets are within 1 standard deviation of the mean, hence between 35 and 57.In item b, between 2 standard deviations below the mean(95% of 50% due to the symmetry of the normal distribution) and 1 above(68% of 50%), hence the percentage is: P 34% + 47.5% = 81.5%.For item 3, below 3 standard deviations above the mean, hence removes only the top 0.15%, hence 99.85%.More can be learned about the Empirical Rule at https://brainly.com/question/4079902
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Find the value of x, 6,4, 3x, 4x+1
Answers
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Confirm my selection please
Answers
They are both the bottom of the trapezoid
The data below is from a Case-Control study done in Ethiopia to determine risk factors associated with Tuberculosis. People with Tuberculosis were found (Cases) and compared to similar people without Tuberculosis (Controls). Smoker Non-smokerCase 42 218 Control 15 2451. Using 1% significance, would you conclude that the proportion of those with Tuberculosis who smoke is different than those without Tuberculosis who smoke? 2. From this data can you estimate the risk of developing Tuberculosis for a smoker, that is P(Tuberculosis | Smoker)? If no explain why, if yes what is the risk?
Answers
The methods to reduce the risk of tuberculosis include Educating patients on respiratory hygiene
What is tuberculosis?
Mycobacterium tuberculosis is the bacteria that causes tuberculosis (TB). TB germs often attack the lungs, but they can attack any region of the body, including the kidney, spine, and brain.
When an infected individual coughs or sneezes, the germs that cause tuberculosis spread. The majority of people who are infected with the germs that cause tuberculosis do not show symptoms. When symptoms do appear, they are typically accompanied by a cough (sometimes blood-tinged), weight loss, night sweats, and fever.
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The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 259.1 and a standard deviation of 68.2. (All units are 1000 cells/µl.) Using the empirical
rule, find each approximate percentage below.
a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 54.5 and 463.77
b. What is the approximate percentage of women with platelet counts between 122.7 and 395.5?
a. Approximately % of women in this group have platelet counts within 3 standard deviations of the mean, or between 54.5 and 463.7
(Type an integer or a decimal. Do not round.)
PLEASE HELP ASAP
Answers
Using the Empirical Rule, it is found that:
a. Approximately 99.7% of women in this group have platelet counts within 3 standard deviations of the mean, or between 54.5 and 463.7.
b. Approximately 95% of women in this group have platelet counts between 122.7 and 395.5.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of 68%.The percentage of scores within two standard deviations of the mean of the distribution is of 95%.The percentage of scores within three standard deviations of the mean off the distribution is of 99.7%.Hence for item a the percentage is of 99.7%, as the measures are within 3 standard deviations of the mean.
In item b, the measures are within two standard deviations of the mean, as:
259.1 - 2 x 68.2 = 122.7.259.1 + 2 x 68.2 = 395.5.Hence the percentage is of 95.5%.
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there are 30 cupcakes in a tin. 16 of the cupcakes are iced of which 3 contain walnuts. 5 cupcakes are neither iced nor contain walnuts. work out the probability that the cupcake picked at random contains walnuts
Answers
The probability that the cupcake picked at random contains walnuts is given as follows:
0.4 = 40%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:
30.
The number of cupcakes with walnuts is given as follows:
3 that are also iced.30 - (16 + 5) = 9 that are not iced.Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:
p = (3 + 9)/30
p = 12/30
p = 0.4.
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i currently have alot of points im only giving out a little but i will give thanks, brainliest, and 5 star
Answers
Answer:
ilyilyilyilyily thank you
Answer:
thats so sweet thank you!!!
Step-by-step explanation:
NEED ANSWER ASAP!!
How much water should be added to 18 mL of 15% alcohol solution to reduce the concentration to 9%?
Answers
convert the mixed numbers to improper fractions. this will get you one step closer to finding the unit rate
Answers
You can find out an improper fraction by simply multiplying the denominator by the front number and adding the answer to you numerator
So, 2x5= 10. 10+2= 12. So 12/5
Answer:
4 1/8 divided by 2 3/4= 33/8 divided by 11/4
Step-by-step explanation:
its write i got it right on the test :)
the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answers
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
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Please help me important question in image
Please help me important question in image
Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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