Please help me understand how to solve equations like these, I don’t understand them:
Answers
Answer:
subtract the unwanted b termdivide by the coefficient of bb = 60Step-by-step explanation:
The numbers 4/5 and 9/10 are fractions. They multiply the variable 'b' in each case.
How to solve an equation like this
An example of an equation like this without fractions is ...
6 + 3b = 8b
You solve this sort of equation by rearranging the equation so the terms having 'b' in them are all on one side of the equal sign. You want all of the terms not containing 'b' to be on the other side of the equal sign.
Here, the terms are mixed on the left, but the right has only a 'b' term. So, if we can remove the 'b' term from the left side, we will have reached the goal
In the example equation, we do that by adding -3b to both sides of the equation.
6 +3b -3b = 8b -3b
Simplifying, we have ...
6 = 5b
Now, we divide by the coefficient of 'b', which is 5. We divide both sides of the equation by that:
6/5 = (5b)/5
6/5 = b . . . . after simplifying
_____
How to solve this equation
The given equation is solved exactly the same way. We add the opposite of the 'b' term that we don't want (which is 4/5b):
6 + 4/5b -4/5b = 9/10b -4/5b
Simplifying, this is ...
6 = (9/10 -4/5)b = (9/10 -8/10)b
6 = 1/10b
We can make the coefficient of 'b' be 1 by multiplying it by 10. We have to do that to both sides of the equation:
(10)(6) = (10)(1/10)b
60 = b . . . . . the solution
_____
Comment on equations in general
The one absolute rule in Algebra is that the equal sign must remain valid. You keep that commandment by observing the properties of equality. Essentially, you can do anything you like to one side of an equation, as long as you do exactly the same thing to the other side.
Here, when we say "subtract 4/5b", the way we keep this commandment is that we do it to both sides of the equation. The same is true for "multiply by 10". This is emphasized by the bold highlighting in the solution shown above.
Comment on arithmetic
In solving this equation, we did the arithmetic using the given fractions. Often, for an equation like this, you will be told the first step is to "eliminate fractions". You can do that here by multiplying the equation by 10:
10(6 +4/5b) = 10(9/10b)
60 +8b = 9b
Now, the unwanted term is 8b, so subtracting that (from both sides) gives ...
60 = b
This is essentially a "2-step" equation, either way you do it.
It is helpful if you are comfortable doing arithmetic with fractions, mixed numbers, decimals, percentages, and numbers in scientific notation, as well as integers.
Related Questions
Write the equation that represents the model above. Please help!
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Answer:
2x + 30 = -2x + 2
Step-by-step explanation:
left side has 2 x's so u get 2x and it also has 3 10's so 2x+30
do the same on the right
2 -xs so -2x and 2 ones
-2x+2
May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.
Answers
9514 1404 393
Answer:
x = 17y = 26Step-by-step explanation:
In the left problem, you use the fact that the sum of the segment lengths is equal to the overall length.
AC +CB = AB
(3x -4) +(x -2) = 62
4x -6 = 62 . . . . . collect terms
4x = 68 . . . . . . . add 6
x = 17 . . . . . . . . . . divide by 4
__
In the right problem, you use the fact that the sum of the angles is equal to the overall angle. Here, that overall angle is a linear angle, so measures 180°.
∠DFG +∠GFE = ∠DFE
(5y +3) +(2y -5) = 180
7y = 182 . . . . . . . . . . . . . . collect terms, add 2
y = 26 . . . . . . . . . . . . . . . .divide by 7
What is the slope of the line that passes through the points M(-3,5) and N (1,8)
Answers
Answer:
the answer is A. 3/4
Step-by-step explanation:
Try using Symbolab for future reference it works really well (it's what I use ALL the time)!
The cost of Marianne's old bracelet is two-thirds
The cost of her new bracelet. The cost of her old
bracelet is $18. Need help what Is this solution
Answers
Answer:
the answer is $12
Step-by-step explanation:
to get the answer you would multiply 18 by 2/3 or you can divide by 3 then multiply what you get from dividing by 3 by 2.
version 1: 18(2/3) = ?
12
version 2: 18/3=?
6 you want to multiply by to because that is 1/3 of the original price
6(2) = 12
Either way you get the same answer. Hopes this helps
Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which proportion could be solved to find X, the number of teaspoons of baking soda needed for 9 cups of sugar?
Answers
Answer:
Heres how to solve.
Step-by-step explanation:
3 cups of sugar for every 2 teaspoons of baking soda.
So 6 cups of sugar for 4 teaspoons of baking soda.
And 9 cups of sugar for 6 teaspoons of baking soda.
Basically you just multiply by 3, 3×3=9 and 2*3=6
The number of teaspoons of baking soda Trisha needed will be 6.
It is given that Trisha uses 3 cups of sugar for every 2 teaspoon of baking soda.
We have to find out that what will be the number of teaspoons of baking soda needed for 9 cups of sugar.
If a car goes 10 km in two hours , how far will it go in one hour ?
The car will go, 10 ÷ 2 = 5 km in an hour.
As Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda.
For 1 cup of sugar Trisha will have to use 2/3 teaspoons of baking soda .
For 9 cup of sugar Trisha will use ;
= (2/3) × 9 = 18 ÷ 3
= 6
So, Trisha will have to use 6 teaspoons of baking soda for 9 cups of sugar.
To learn more about proportion click here ;
https://brainly.com/question/19994681
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Which of the following equations is equivalent to 4(6p – 3) = 26?
A: 10p – 1 = 26
B:24p – 12 = 26
C: 10p – 7 = 26
D: 24p – 3 = 26
Answers
Answer:
B. 24p - 12 = 26
For both 4(6p – 3) = 26 and 24p - 12 = 26, [tex]p = \frac{19}{12}[/tex]
I hope that this helps you!
Answer:
B:24p – 12 = 26
Step-by-step explanation:
Mr. Nell is painting his coffee table. The micture that he adds to the paint is made of 5/6 cup
baking soda for every 5 tablespoons of water.
What is the rate in cups of baking soda per tablespoon of water?
Answers
Answer:
1/6 cups
Step-by-step explanation:
5/6 /5 = 5/6 divided by 5
= 5/6 x 1/5
= 1/6
so your answer is 1/6 cups of baking soda per tablespoon of water
yw ;)
The rate for cups of baking soda per tablespoon of water is 1/6.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mixture that he adds to the paint is made of 5/6 cup baking soda for every 5 tablespoons of water.
Hence, The rate for cups of baking soda per tablespoon of water is,
⇒ 5/6 ÷ 5
⇒ 5/6 × 1/5
⇒ 1/6
Learn more about the divide visit:
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which equation show you how to find 13-6
Answers
Answer:
13-6=7
Step-by-step explanation:
lol
Answer:
it equals 7
Step-by-step explanation:
Grade Math
Do Not Reproc
26. What is the solution to the equation 3(4x – 11) + 15 = -6(-x + 7)?
А
X=-30
B
x= -10
C X=-4
D
x= -1
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calvin had 43 cents he found 14 more cents. how much money dose calvin have rounded to the nearest dime
Answers
Answer:
Calvin has 60 cents rounded to the nearest dime. without rounding he would only have 57
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x - 15y = 135
Answers
6x -15y = 135
-15y = 135 -6x
y = (135-6x)/-15
y = 2/5x + 9
The length of rectangle is 5 centimeters less than three times its width .It’s area is 12 square centimeters. Find the dimensions of the rectangle
Answers
Answer:
14
Step-by-step explanation:
Answer: The length is 4 the width is 3
Step-by-step explanation:
Which of the following quantities are inversely proportional? WILL GIVE BRAINLIEST AND 25 POINTS
a
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
b
The height of a rectangular fish tank and the area of its base, if the volume is constant
c
The amount of candy purchased for $25.50 and the price per pound
d
The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.
Answers
Answer:
I believe the answer is D
Step-by-step explanation:
Inverse proportion occurs when one value increases and the other decreases
D is the answer because as each cat eats the same amount of dry cat food, there is less dry cat food in the bag; so this is why D best answers the question.
Hope this helps!
Answer:
a is false, B is true,
Step-by-step explanation:A is false because the more hours you work, the more money you get.
B is true because if the volume is constant, the bigger the length, the smaller the width, or vice versa.
How to find the probability of the complement of an event?
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Helpp me plzzzzzZZzz
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The standard unit for measurement for volume is
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Answer:
I'm pretty sure it's cubic meters
round 2.294 to nearest hundredth
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Answer:
The answer is 2.29 !
Step-by-step explanation:
To round 2.294 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. We use the following rules to round 2.294 to the nearest hundredth: A) If the last digit in the fractional part of 2.294 is less than 5, then simply remove the last the digit of the fractional part
6х + 15 = 3(2х + 5) How many solutions does the equation to the left have?
Answers
Answer:
Infinitely many solutions
Step-by-step explanation: You have to distribute 3(2x+5) which equals 6x+15 which is equal to the other equation. Same slope same y-intercept means (infinitely many solutions).
Please help!! i cant fail math
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Answer:
The scale factor is 2
Step-by-step explanation:
make a list of all 3 digit numbers using the digit 5, 2, and 6
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Which of the following numbers would be an outlier if added to the data set below?
507, 586, 499, 542, 615, 600, 561, 519
Group of answer choices
610
487
535
380
Answers
Answer:
The answer is 380
Step-by-step explanation:
It is 380 because 610, 487, 535 will be fine in the group but 380 is different so it will be considered a Outlier
I NEED A SERIOUS ANSWER. THANK YOU!!
Answers
I really hope this helped you. If it did, could u plz mark me as brainliest?
There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 233.5 grams of this cereal,
There are calories in 233.5 grams of this cereal.
(Round to the nearest whole number as needed.)
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Answer:
145
Step-by-step explanation:
110÷177.4=.62 cal per gram
.62×233.5=145 rounded
4.2540 centimeters are equal to how many inches?!
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Answer: 1.6748031in
Step-by-step explanation:
What is the other term for integers
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The value of m varies inversely as the square of n. When n = 3 m = 6.
What is the positive value of n when m = 13.5?
(I already know C. is wrong)
A. 18
B. 2
C. 9 XXXX
D. 4
Answers
Answer:
B.]2
Step-by-step explanation:
The required positive value of n is 2. Hence, option B is correct.
Important information:
m varies inversely as the square of n.Whem n = 3, then m = 6.Inverse proportion:It is given that m is inversely proportional to the square of n. So,
[tex]m\propto \dfrac{1}{n^2}[/tex]
[tex]m=\dfrac{k}{n^2}[/tex] ...(i)
Where, k is the constant of proportionality.
Substitute m = 6 and n = 3 in the above equation.
[tex]6=\dfrac{k}{3^2}[/tex]
[tex]6=\dfrac{k}{9}[/tex]
[tex]6\times 9=k[/tex]
[tex]54=k[/tex]
Substitute this value in (i).
[tex]m=\dfrac{54}{n^2}[/tex]
Substitute m = 13.5 in the above equation.
[tex]13.5=\dfrac{54}{n^2}[/tex]
[tex]n^2=\dfrac{54}{13.5}[/tex]
[tex]n=\pm \sqrt{4}[/tex]
[tex]n=\pm 2[/tex]
Therefore, the required positive value of n is 2. Hence, option B is correct.
Find out more about 'Inverse proportion' here:
https://brainly.com/question/15179946
Determine the quotient
Answers
Answer:
option 2: [tex]\large \frac{10}{12}[/tex]
Step-by-step explanation:
when dividing fractions, you can actually multiply them together by the reciprocal of the second one. (reciprocal is just flipping the fraction)
so, [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex]
becomes [tex]\frac{2}{3} * \frac{5}{4}[/tex]
to multiply fractions together, just multiply the top and bottom.
2 * 5 = 10
3 * 4 = 12
so the answer would be [tex]\frac{10}{12}[/tex]
These shapes below are mathematically
Answers
Answer:
x=30
Step-by-step explanation:
they are conqruent,
the proportion is 2.5 as we can find that by 20/8
2.5 times 12 is 30
Find the x- and y-intercepts of the graph of the equation.
f(x) = 4x – 12
x-intercept
(x, y) =
y-intercept
(x, y) =
Answers
Answer:
x intercept is (3, 0). y intercept is (0, -12).
Step-by-step explanation:
x intercept is when y = 0. [f(x) = y] So 0 = 4x - 12. Solving for x gives you a value of 3. [12 = 4x; divide by 4]
y intercept is when x = 0. So y = 4(0) - 12. Solving for y gives you a value of -12. [y= 0 - 12; y = -12]
Use the Distributive Property to expand the expression -(u-v)
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Answer:
(U+V) is the answer to the solution
