Factor 42x+28y using the GCF.
30 POINTS! Which graph represents the function f(x)=−|x−3|+1 ? ( Please save me)
What would happen if the order of operations did not exist?
how do you solve 1/3(2x-4)+5=-2/3(x+1)
Final answer:
Solving the equation 1/3(2x-4)+5=-2/3(x+1) involves distributing the fractions, combining like terms, and then multiplying by the reciprocal to isolate x, which results in a solution of x = -4.
Explanation:
To solve the linear equation 1/3(2x-4)+5=-2/3(x+1), you start by distributing the fractions across the parentheses and then combine them like terms. First, multiply 1/3 by each term inside the parentheses (2x-4) and -2/3 by each term inside (x+1), which gives:
2/3x - 4/3 + 5 = -2/3x - 2/3
Next, combine like terms and add 2/3x to both sides:
2/3x + 2/3x = -2/3 - 5 + 4/3
This simplifies to:
4/3x = -16/3
To isolate x, multiply both sides of the equation by the reciprocal of 4/3, which is 3/4:
x = (3/4) x (-16/3) = -4
The solution for x in the given equation is -4.
Final answer:
To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. The solution to the equation is x = -7/12.
Explanation:
To solve the equation 1/3(2x-4)+5=-2/3(x+1), we need to simplify the equation and isolate the variable x. Let's start by distributing and solving the equation:
1/3(2x-4)+5=-2/3(x+1)
(2/3)x - 4/3 + 5 = (-2/3)x - 2/3
Combining like terms:
(2/3)x + 5/3 = (-2/3)x - 2/3
Add (2/3)x to both sides:
(2/3)x + (2/3)x + 5/3 = (-2/3)x + (2/3)x - 2/3
Simplify:
(4/3)x + 5/3 = -2/3
Subtract 5/3 from both sides:
(4/3)x + 5/3 - 5/3 = -2/3 - 5/3
Simplify:
(4/3)x = -7/3
Finally, divide both sides by 4/3 to solve for x:
(4/3)x / (4/3) = -7/3 / (4/3)
Simplify:
x = -7/12
Therefore, x = -7/12 is the solution to the equation.
A bakery uses 3 cups of flour to makeveach loaf of bread. There are 3 loaves of bread on a tray. There are 6 trays on a cart how many cups of flour are used to make a full cart of bread show your work
The bakery uses 54 cups of flour to make a full cart of bread.
Given that, a bakery uses 3 cups of flour to make each loaf of bread. There are 3 loaves of bread on a tray.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now,
6 trays x 3 loaves per tray= 18 loaves
18 loaves x 3 cups of flour each= 54 cups of flour
Therefore, the bakery uses 54 cups of flour to make a full cart of bread.
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Pablo prepares to lift a barbell. During which stage of the lift does Pablo do work on the barbell?
Answer:
when he lifts the barbell from the floor to his chest
Step-by-step explanation:
Which answers are examples of inductive reasoning?
Select each correct answer.
The library charges a $0.20 fine each day a book is overdue. Mary is returning a book that is 5 days overdue. Therefore, Mary will pay a $1.00 fine.
Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.
All even numbers are divisible by 2. Sixty-four is an even number. Sixty-four is divisible by 2.
The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.
Answer: Jake saw that all the brown dogs at a pet shelter were small dogs, so he went home thinking that all brown dogs are small dogs.
The water temperature at the beach was 75°F every day for the past 2 weeks. The water temperature at the beach will be 75°F today.
Step-by-step explanation:
Inductive reasoning is a logical reason in which multiple premises which are believed to be true or found true most of the time, are combined to form a particular conclusion.
Therefore, the second and the fourth are the examples of inductive reasoning.
Answer:
Just took it for you future peoples!
Step-by-step explanation:
what is 0.4 as a simplified fraction
Answer: 2/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.
Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.
So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.
Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.
Write 15 cubed in exponential notation expanded form and standard form
What did the magician do when he lost his temper?
Answer:
hmmmmm
Step-by-step explanation:
k what did he do?
Write the factored form of 1,000,000
What is 3ft to 6yd in simplest form
Answer:
Answer = 1/6
Step-by-step explanation:
3 ft are in 1 yard
so 3/18
= 1/6
As per linear equation, 3 feet to 6 yard in simplest form is [tex]\frac{1}{6}[/tex].
What is a linear equation?A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.
We know, [tex]3 feet = 1 yard[/tex]
Therefore, 3 feet to 6 yard in simplest form is
[tex]= \frac{3 feet}{6 yard}\\ = \frac{1 yard}{6 yard} \\= \frac{1}{6}[/tex]
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Please help me thank yu
PLZ HELP ASAP!!!!!!!,
Boris is playing on the mall escalators. One escalator goes up, one goes down, and one is out of service; otherwise, they're all identical. The up and down escalators go at the same speed. You can assume that Boris always runs at the same speed.
Boris can run up the up escalator in 6 seconds. He can run up the down escalator in 30 seconds. How long does it take him to run up the out-of-service escalator? Explain your answer
Answer:10 sec
Step-by-step explanation:
Given
Boris can run up the escalator in 6 sec
Also he can run up the down escalator in 30 sec
i.e. He travel same distance either ways
Let the distance be x and v be the speed of boris and [tex]v_0[/tex] be the speed of escalator.
[tex]x=6\times \left ( v+v_0\right )[/tex]----1
[tex]x=30\times\left ( v-v_0\right )[/tex]----2
Equating 1 and 2
[tex]5\left ( v-v_0\right )=v+v_0[/tex]
[tex]5v-5v_0=v+v_0[/tex]
[tex]v_0=\frac{2}{3}v[/tex]
substituting in 1
[tex]x=6\times \left ( v+v\frac{2}{3}\right )[/tex]
[tex]x=6\times v\frac{5}{3}=10v[/tex]
Thus form above equation we can say that it requires 10 sec for Boris to climb up in out of service escalator.
Which expression is equivalent to 28/19/100
Answer:
The correct answer is A.
This is because the whole number 28 has a 2 in the tens place, meaning it has 2 tens, and 10x2=20. Same goes for the 8 in the ones place (8x1=8)
20+8=28. Then, 19/100 is equal to 0.19, which has a 1 in the tenths place and a 9 in the hundreths place put together to get 28.19
Step-by-step explanation:
what is the answer - c/4 +7 = 14
Pls thanks
Stephen spent $4 on milk, $6 on eggs, and $11 on cereal. He wrote the ratio 6/11 to describe some of his purchases. Explain why the ratio is not a fraction.
The ratio 6/11 does not represent all of Stephen's purchases, as it excludes the $4 he spent on milk.
What is the ratio?A ratio is a mathematical relationship that demonstrates how frequently one number contains or is contained inside another. Two numbers are compared using it.
If Stephen had written the ratio of the total amount spent on eggs and cereal to the amount spent on milk, it would have been:
(6 + 11) / 4 = 17/4
This ratio is also a fraction, but it cannot be simplified to a whole number, as the numerator and denominator have no common factors other than 1.
Therefore, the ratio 6/11 is a fraction that represents a comparison between two of Stephen's purchases, but it does not represent all of his purchases, and it is not the only possible ratio that can be written using the given information.
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y=x+3,domain:0,1,2,3,4,5
Elijah needed to dig a row along a fence that was 5 feet long.He was able to dig all but 42 inches of the row before dark how many inches was he able to dig before dark
is the linear equation 3x-2=y in standard form?
Hillary jogged a total distance of 7 and 1 over 3 miles during the months of October and November. If Hillary only jogged 1 over 6 mile every day, which expression shows the number of days in which she went jogging?
Answer:
7 and 1 over 3 multiplied by 1 over 6
Step-by-step explanation:
There are 15 people in a room. Each person ate 2/3 of a pizza. There was no more pizza remaining. How many pizzas were in the room?
Oxygen is carried through the body by
Whats 20% discount of $360.00
what is the fourth number of 12 48 50 if the mean is 30
A bicyclist started riding at 8:00am. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist’s average rate of speed in miles per hour?
Choco Pie costs $12.11 per box. What equation shows the relationship between total cost (t), price per box (p), and boxes purchased (b)?
A=(f+g)h
——
2
A = f + g over 2 times h
Solve for g
What is the measure of the highlighted angle
Solve for r in this equation.
s = 2πrh
A. s / 2π = r
B. s / 2πh = r
C. 2πsh = r
D. s / 2 = r