Final answer:
Solving the equation 3x=9 involves multiplying both sides by the reciprocal of 3, which is 1/3. By doing so, both sides simplify to x=3, thereby providing the solution to the equation.
Explanation:
To solve the equation 3x=9, we can use the principle of multiplying both sides by a reciprocal to isolate the variable. The reciprocal of 3 is 1/3 because 3 multiplied by 1/3 equals 1, which leaves us with the identity property of multiplication (any number multiplied by 1 results in the number itself). Therefore, we can solve the equation as follows:
Multiply both sides of the equation by the reciprocal of 3, which is 1/3: (1/3) * (3x) = (1/3) * 9.
Simplify both sides: (1/3) * 3 = 1 and 1 * x is just x, so we get x on the left side. On the right side, (1/3) * 9 = 3.
You are left with the simplified equation x = 3, which is the solution.
This demonstrates that dividing by a number is the same as multiplying by its reciprocal. In other words, we used a form of inversion on 3x = 9 to find the value of x. By following this method, we've effectively divided both sides of the original equation by 3 to solve for x.
Tyler is making applesauce. He can make 1/6 cup in ½ a minute. How many cups can he make in a full minute?
Tyler can make 1/3 cup of applesauce in one full minute by doubling the amount he can make in half a minute.
Tyler is making applesauce and can make 1/6 cup in [tex]\frac{1}{2}[/tex] a minute. To find out how many cups he can make in a full minute, we simply double the amount he can make in half a minute since a full minute is twice as long as half a minute. So, if Tyler makes 1/6 cup in [tex]\frac{1}{2}[/tex] a minute, in one full minute he can make:
1/6 cup + 1/6 cup = 2/6 cup2/6 cup simplifies to 1/3 cup (since 2 divided by 6 can be reduced to 1 divided by 3).Therefore, Tyler can make 1/3 cup of applesauce in one full minute.
the mad hatter buys his tea in bulk from the local store. a case of 100 tea bags cost 15 gold coins
Tom and Sam shared equally one third of a chocolate bar. What fraction of the chocolate bar did each child get?
Distributive property 6(11+x)
what is z^(3)+5z+3z^(2)+1 - 4 - 2z^(2) simplified
How many times does 50 go into 186 when dividing
a variable whose value is greater than zero
Someone came into my shop and stole $100 out of the register without my knowledge. The person came with the same $100 5 minutes later and he bought $70 in Items and I gave him back $30 change. How much money did I loose!!!!!!
what is the answer to: simplify 2c x 3d x e
The given expression '2c x 3d x e' can be simplified as '6cde'. This is done by multiplying the numbers and arranging the variables in alphabetical order.
Explanation:The problem you provided: '2c x 3d x e' is an example of a mathematical expression involving alphanumeric terms. In mathematics, when alphanumeric terms are connected by multiplication as they are here, they can be treated as a single term.
To simplify the question, you just need to carry out the multiplication with the given numbers and arrange the variables alphabetically. Therefore, 2c x 3d x e can be simplified as 6cde (since 2 times 3 equals 6).
Learn more about Simplification here:https://brainly.com/question/33857870
Mr.Chan buys a roll of paper towels for $2.19 and a bottle of window cleaner for $2.69 .In his state there is a 4% sales tax on these items. Mr.chan also buys a gallon of milk for $3.95. There is no tax for the milk . write a number sentence to find Mr.Chan's total bill and what is his total bill?
The total bill for Mr. Chan's will be;
⇒ $9.02
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mr. Chan buys a roll of paper towels for $2.19 and a bottle of window cleaner for $2.69.
Sales tax = 4%
Mr. Chan also buys a gallon of milk for $3.95 and there is no sales tax on milk.
Now,
Since, Total cost of towels and bottle before tax = $2.19 + $2.69
= $4.88
And, The sales tax on towels and bottle = 4% of $4.88
= 4/100 x $4.88
= $0.19
And, The cost of milk = $3.95
Thus, The total bill = $4.88 + $0.19 + $3.95
= $9.02
Therefore, The total bill for Mr. Chan's will be;
⇒ $9.02
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
You jog 2 kilometers in 12 minutes. At this rate, how long will it take you to complete a 5 kilometer race?
at pizza pi, 9% of the pizzas made last week had extra cheese. if 27 pizzas had extra cheese how many pizzas in all were made last week
If three people share1/2pound of peanuts equally how much will each have
Winnie the Pooh goes to the honey store to buy a case of honey for the winter. The case of 24 jars of honey cost $27.60. What is the cost of each jar?
A) $0.87
B) $1.00
C) $1.15
D) $62.40
I just need a simple explanation on how to do the problem.
John paid $150 for renting a boat for 5 hours. Which graph shows the relationship between the cost of renting a boat for different hours?
lol yeah where's the graph sorry lol
Kristen is making lanyards for a convention. She needs to make 1,000 lanyards and knows that 1 lanyards uses 1.75 feet of cord. How much cord will Kristen need?
The capacity of joses vase is 2,419 milliliters of water. He poured 1 liter 299 milliliters of water into the empty vase. Then, he added 398 milliliters. How much more water will the vase hold?
The vase can hold 722 milliliters more water.
Explanation:To find out how much more water the vase will hold, we need to subtract the initial amount of water from the capacity of the vase. First, we convert 1 liter 299 milliliters into milliliters by multiplying 1 liter by 1,000 and adding 299 milliliters. So, 1 liter 299 milliliters is equal to 1,299 milliliters. Next, we add 398 milliliters to 1,299 milliliters to get the total amount of water poured into the vase, which is 1,697 milliliters. Finally, we subtract 1,697 milliliters from the capacity of the vase, which is 2,419 milliliters.
Therefore, the vase can hold 722 milliliters more water.
Which table could be a partial set of values for a linear function?
Answer:
Table 4
Step-by-step explanation:
As we know that
A Linear function is the one whose graph represents a line OR value of its dependent and independent variable change at a rate which remains constant throughout.
Now in the fourth table the values of x and y are given as show below:
x y
0.0 0.0
1 0.5
2 1.0
3 1.5
As we can see as the value of x increases by 1 from its previous value the value of y increases by 0.5 from its previous value. This trend remains the same throughout the given table.
So, we can say the partial set of values given table 4 represent the Linear Function
Rachel's hair grows 3.5 inches in 6 months. How much would you expect Rachel's hair to grow in 2 years.
Lana needs X more dollars to buy a new scrapbook that sells for $8.35 she has $4.88 so far. Solve the equation $4.88 plus tax equals $8.35 to find out how much more money she needs.
Lana needs an additional $3.47 to buy the scrapbook, which is found by subtracting the amount she has ($4.88) from the total cost of the scrapbook ($8.35). The provided question's mention of tax is not included in the calculation as no tax rate is given, and it's assumed that the $8.35 is the final price after tax.
Explanation:The student asked how much more money Lana needs to buy a scrapbook priced at $8.35 if she already has $4.88. To find out the additional amount Lana needs, we subtract the money she already has from the total cost of the scrapbook.
Subtracting the amounts:
$8.35 (total cost) - $4.88 (amount Lana has) = $3.47
Therefore, Lana needs an additional $3.47 to purchase the scrapbook.
Note that the mention of 'plus tax' in the question may be confusing because taxes are typically added on top of the listed price, but here we are not given a tax rate. Hence, in our calculation, we assume the $8.35 already includes any tax.
Learn more about additional amount here:https://brainly.com/question/33392136
#SPJ2
if 2/3 of the girls in class have brown eyes and one fourth of the girls have blue eyes what fraction of girls in class have neither blue or brown eyes
Answer:
1/12
Step-by-step explanation:
Out of 15 serves in a volleyball game, 0.6 of them were in bounds. What percent of the serves were in bounds?
1. Simplify. 42 (square, so it's 4 x 4)+ 25
1. 21
2. 29
3. 41
4. 51
2. Simplify the expression.
55− 4⋅5 + 1255 − 4 ⋅ 5 + 12
Enter your answer in the box.
Simplify
3. 72+22 (both are square)
1. 9
2. 53
3. 81
4. 94
4. Simplify.
4. 33 + 5 ⋅ 533 + 5 · 5 (first one is square)
1. 52
2. 58
3. 70
4. 190
5. Evaluate the expression.
42 − 3 ⋅ 4 + 742 − 3 ⋅ 4 + 7 (the first one is square)
Enter your answer in the box.
What equation do you get when you solve the equation the equation gh-gt+g=t for g?
To solve the equation gh - gt + g = t for g, factor g out from the left-hand terms and then divide both sides by (h - t + 1) to isolate g.
Explanation:To solve the given equation gh - gt + g = t for g, we need to isolate g on one side of the equation. Starting with the original equation, factor out g from the terms on the left-hand side:
g(h - t + 1) = t
Next, divide both sides of the equation by (h - t + 1) to solve for g:
g = t / (h - t + 1)
This gives us the value of g in terms of t, h, and g as constants, which may be aligned with concepts from physics such as the acceleration due to gravity and gravitational potential energy (G.P.E.).
Final answer:
To solve the equation gh - gt + g = t for g, you can factor out g, isolate the g term, and then divide both sides of the equation by (h - t).
Explanation:
To solve the equation gh - gt + g = t for g, we can start by combining like terms on the left side of the equation. This gives us gh - gt + g = t. Then, we can factor out g from the first two terms, which gives us g(h - t) + g = t. Next, we can subtract g from both sides of the equation to isolate the g term. This gives us g(h - t) = t - g. Finally, we can divide both sides of the equation by (h - t) to solve for g. This gives us g = (t - g) / (h - t).
write a story problem for the additional sentence 7 +2=9
Given ΔABC : ΔDEF, find x.
the answer is twelve
The value of x is 12.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔABC : ΔDEF
We can write as,
BA/AC = ED/DF
8/12 = x/18
x = (8 x 18) / 12
x = 2 x 6
x = 12
Thus,
x is 12.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Each time Allison goes to the recycling center , she takes 10 bags of cans . She will go twice this month 3 times next month ,and once the following month . How many bags of cans will Allison take to the recycling center in these three months ?
The required number of bags that Allison takes to the recycling center is 60 bags.
Given that,
Each time Allison goes to the recycling center, she takes 10 bags of cans. She will go twice this month 3 times next month, and once the following month .
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total number of times Allison went to the recycling center in three months,
= 2 + 3 + 1 = 6
Each time takes 10 bags of can,
So, total number of bags of can = 10 × 6 = 60
Thus, the required number of bags that Allison takes to the recycling center is 60 bags.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ5
round 432 to the nearest hundred
ANSWER ASAP
The average blue whale weighs 374,850 lb. The average African elephant male weighs 11,845 lb.
What is the approximate difference between the average weights of the two animals?
Round the weight of each animal to the nearest ten thousand to find the answer.
how many fifths are in 1.8