We want to see the properties used to solve the given equation.
The properties used are:
Existence of the multiplicative inverse.Associative property of the multiplication.Let's write step by step and see which property we used on each step.
We start with:
[tex]\frac{4}{3} *(\frac{3}{4} *x) = \frac{4}{3} *\frac{1}{4}[/tex]
Now we use the associative property of the multiplication (says that we can multiply in any order we want) we rewrite this to:
[tex](\frac{4}{3} *\frac{3}{4} )*x = \frac{4}{3} *\frac{1}{4}[/tex]
Now we use the existence of the multiplicative inverse, this says that for a number a, there exist a number b such that:
a*b = 1
And we have that b = 1/a.
Then we apply that to the first factor to get:
[tex](\frac{4}{3} *\frac{3}{4}) *x = \frac{4}{3} *\frac{1}{4} \\\\x = \frac{4}{3} *\frac{1}{4}[/tex]
Again, using the same but with the numerator of the first factor of the right side and the denominator of the second factor of the right side we get:
[tex]x = \frac{4}{4} *\frac{1}{3} = \frac{1}{3}[/tex]
Then the properties used are:
Existence of the multiplicative inverse.Associative property of the multiplication.If you want to learn more, you can read:
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-2(x -5) = -16
can someone please answer this asap
Answer:
x = 13
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](-2)(x) + (-2)(-5)= -16[/tex] [tex]-2x + 10 =-16[/tex]Step 2: Subtract 10 from both sides.
[tex]-2x + 10 - 10 = -16 - 10[/tex] [tex]-2x = -26[/tex]Step 3: Divide both sides by -2.
[tex]\frac{-2x}{-2}=\frac{-26}{-2}[/tex] [tex]x = 13[/tex]Step 4: Check if solution is correct.
[tex]-2(13-5)=-16[/tex] [tex]-26 + 10 = -16[/tex] [tex]-16=-16[/tex]Therefore, x = 13.
Answer:
x=13
Step-by-step explanation:
-2(x -5) = -16
Divide each side by -2
-2(x -5)/-2 = -16/-2
x-5 = 8
Add 5 to each side
x-5+5 = 8+5
x=13
which table represents a linear function?
Answer:
c
Step-by-step explanation:
A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat.
Write an inequality to describe the constraints. Specify what each variable represents. (2 pts)
Name one solution to the inequality and explain what it represents in that situation. (2 pts)
200S+500W≤$100,000 inequality to describe the constraints and (200, 100) is one solution to the inequality.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Given,
A farmer is creating a budget for planting soybeans and wheat.
Planting soybeans costs $200 per acre and planting wheat costs $500 per acre.
Let S be the acre of land to plant soyabean and W be the acre of land to plant wheat.
200S+500W≤$100,000
This is the required inequality.
(200,100) is the solution of inequality.
Hence 200S+500W≤$100,000 inequality to describe the constraints and (200, 100) is one solution to the inequality.
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4.86 x 3.5 this website is cool
Answer:
17.01
Step-by-step explanation:
1. Write down the equation.
4.86 x 3.5
2. Remove the decimals.
486 x 35
3. Multiply
486 x 35 = 17,010
4. Insert decimal point total amount of times that were in the factors you were multiplying
4.86 = 2 times
3.5 = 1 time
2 + 1 = 3 times
So, 17,010 → 17.010
5. Simplify answer
17.010 = 17.01
(Also........you can use a calculator
a) Jill phones her manager in New York. Phone calls to New York are charged at the rate of £2.50 for a 5-minute call. Jill's call costs £6.00. How long (in minutes) was her call?
Answer:
30
Step-by-step explanation:
you can do 5 times 6 and 2.50 times 5
Answer: 12 minutes
Step-by-step explanation:
6/2.5= 2.4
So we do 2.4x5=12 minutes
2x + 4 =12
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The value of the variable, x, is 4. This is because 2 times 4 (x) plus 4 is equivalent to 12. 2 times 4 equals 8. 8 plus 4 equals 12. I hope this helped! Brainliest would be great. : )
Answer:
x = 8
Step-by-step explanation:
2x - 4 = 12
2x = 12 + 4
2x = 16
x = 16/2
x = 8
sorry If that's wrong
Indicate which property is illustrated in step 1
The line segment goes from -7 to 1.
-7 to 0 is 7 units.
0 to 1 is 1 unit.
7 + 1 = 8 units in total
The length of the red line segment is 8 units.
Hope this helps!
What is the equation of the line that passes through the point (-5,-3) and had a slope of -1
Answer:
y = -1x - 8
Step-by-step explanation:
y = -1x + b
-3 = -1(-5) + b
-3 = 5 + b
-8 = b
Brainlisted for right answer!!! 50 points!!! Please help me!!! I really need this done!!!
Step-by-step explanation:
Um sorry but I can not see the image clearly so I think that is why no one is answering. Sorry. No offense.
How can i describe 2 different ways to estimate 1,869 divided by 89?
Answer:
1,870 / 90 round to the nearest 10 or 1900 / 100 round to neareest houndred
Step-by-step explanation:
which of the following doesnot represent pair of integers (a,b) such that a÷b=3
what is 863. 141 in expanded form
Answer:
863.141 = (8 x 100) + (6 x 10) + (3 x 1) + (1/10) + (4/100) + (1/1000).
Step-by-step explanation:
Order equivalent equations of 6(h−4) = 3h to solve for h.
Answer:
8
Step-by-step explanation:
6h-24=3h
-24=-3h
divide both sides by negative 3
8 = h
The solution for the given equation is h=8.
What is an equivalent equation?Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.
The given equation is 6(h-4)=3h.
The given equation can be solved as follows
6(h-4)=3h
⇒ 6h-24=3h
⇒ 6h-3h=24
⇒ 3h=24
⇒ h=24/3
⇒ h=8
Therefore, the solution for the given equation is h=8.
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A family traveled about 185 miles each day
on a 5-day trip. Their van averaged 17 miles
per gallon during the trip. Which of these
numbers is closest to the total number of
gallons of gasoline used?
Answer:
There are no answer choices but rounded to the nearest whole gallon roughly 54 gallons of gas would be the closest number.
Step-by-step explanation:
You multiply 185*5=925
you then divide this by 17 since you get 17 miles per gallon.
Your decimal answer is 54.4 gallons.
The temperature has been changing at a rate of -2°F per hour and is predicted to continue at this rate. The temperature is now 0°F. What was the temperature 2 hours ago? What temperature can be predicted 5 hours from now?
Answer: The temperature 2 hours ago would be 4 degrees Fahrenheit and the temperature 5 hours from now will be -10 degrees Fahrenheit.
Find the volume and surface area of a cylinder that has a base radius of 8 in and a height of 10 in. Use A =
3.14, and round your answers to the nearest hundredth.
Answer:
Step-by-step explanation:
If rolling a pair of dice, which result has the highest probability?
A) sum of 2
B) sum of 7
C) sum of 9
D) sum of 12
Answer:
7
Step-by-step explanation:
[tex]f= -2 + \frac{4}{5}f -3[/tex]
Hi, hope you are well, please help me on this (:
Answer:
1. True
2. False
3. True
Step-by-step explanation:
1. (x,y) = (3,1). x = 3; y = 1
2. Vertical is y and horizontal is x
3. The origin is (0,0), The only time these two x and y axis intercept.
Evaluate the following algebraic expression at x=3, y=0 and simplify your answer.
−x−5y+6
Answer:
Step-by-step explanation:
A
Answer:
3
Step-by-step explanation:
hope this helps :)
Hi! It would be very helpful if I got an answer & explanation for this problem.. I don't get it.
Stacy reduces the milk-fat content of 5 pints of cream that is 15% fat by combining it with 7 pints of milk that is only 3% fat. What is the percentage of fat in the mixture?
Answer:
The percentage of fat in the mixture is 8%
0.54 + 0.27
=
O 0.71
O 0.81
0.92
0.98
Answer:
its b 0.081
Step-by-step explanation:
trust me it b 0.081
What is the estimate of 25,686
Answer:
depends, you can see the explanation.
Step-by-step explanation:
if you are rounding to the tens place it would be 25,690.
hundreds place - 25,700
thousands place - 26,000
Fill in the missing statement and reasons for this proof
Given m∠1+m∠2=m∠4
Prove: m∠3+m∠1+m∠2=180
Answer:
R3: Definition of Linear Pair
S4: m<3 + m<4 = 180°
R5: Substitution Property of Equality
18624 to the nearest ten
Answer:
nearest 10= 18620
have a nice day
Answer:
18624 to the nearest ten= 18620
pls help :((( i don’t know the answer
Answer:
Step-by-step explanation:
the 3n means the sequence goes up in threes
the -9 means its the number before the first term
-9 plus 3 = -6
the 5th term is 6
If 1/3 cup sugar is needed to make two loaves of bread, how many cups of sugar are needed for three loaves?
Answer: 6 cups of sugar, i believe this is correct
Step-by-step explanation:
3/4*2=6/46/4/1/4=6/4*4=6 = 6 pours
Answer:
So, you need one-half of a cup which is half(0.5).
Step-by-step explanation:
Due to the fact that 1/3 cup sugar is required to make two loaves you mind as well divided 1/3 over two in order to get 0.16666666666. Then times it by three and that'll represent the amount required which is one-half(0.5).
fill in the blank (geometry B)
Answer:
2
Step-by-step explanation: 1+1=2
6*x= 18
Pls answer I will give brainliest
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]6x=18~(Given)\\\\\frac{6x}{6}=\frac{18}{6}~(Divide~6~on~both~sides)\\\\x=3~(Simplify)[/tex]
Answer:
If the question is 6x = 18 meaning 6 multiplied by X is the same as 18, then the answer is 2
If the question is 6 to the power of X is the same as 18, the answer is 1.61314719
So I think your question is the first one lol
Step-by-step explanation:
6 multiplied by what number is 18?
6 multiplied by 2 is 18
So X must equal 2
I hope this helped! Brainliest if it did? No pressure!
have a great day! :D
A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble.what is the probability of choosing a green marble,not replacing it , and then choosing a red marble?