Answer:hi
Step-by-step explanation:Let me first warn you that I CANNOT get the denominators of this problem to go underneath the numerators. It looks good on my answer page but when I click "preview your answer" the denominators are ALL over the place. Grrrrr.
I think the weirdly placed denominators make this explanation hard to understand but you give this a go and see if you understand things. If it is too hard to see, maybe this website will let you instant message me or email me. If so, then I will send you the solution via email. I'm very sorry the denominators are SO scattered.
See what you think of the explanations below but it might help if you write down my answer on paper, so that you can move the number to rest more closely under their proper numerators. :-)
Ok then......
Let's start with your first problem. A quick way to do this work is to cross multiply. Here's what I mean:
__3___ = __6___
r - 1 r + 2
Ok, so you can cross multiply:
3(r + 2) = 6(r - 1) (cross multiply)
3r + 6 = 6r - 6 (use the distributive property)
Now you will have to put the "r" variables on the left side of the equal sign and numbers without variables on the right side of the equal sign. To get 6r from the right side to the left, you can subtract 6r from the right side. If you subtract it from the right, you must subtract it from the left.....
To get 6 from the left side to the right, you can subtract it from the left. If you subtract it from the left, you must subtract it on the right.....
So now you have:
3r - 6r = -6 - 6 This becomes.........
- 3r = -12
Now to solve for "r" you will have to divide by -3. Why? Well, -3r is really saying: -3 times r. The -3 and the r are actually being multiplied together so to isolate the "r" you have to sort of "undo" the multiplication. What is the opposite of multiplication? It's DIVISION. Soooo, you must divide by -3 on both sides. SO you have:
- 3r = -12
r = 4 (-12 divided by -3 is a positive 4)
Now you know "r" equals 4. If we "plug" 4 back into the original equation, we can see the answer is correct. Check this out:
__3___ = __6___ (original equation)
r - 1 r + 2
__3___ = __6___ (substitute "4" in for "r"
4 - 1 4 + 2
__3___ = __6___ (do the math in the denominator area)
3 6
1 = 1 (3/3 equals 1 and 6/6 also equals 1, so our
solution that r = 4 is correct!) :-)
Now to your 2nd problem..........
4/2x-5 = 24/2x
___4___ = __24___
2x � 5 2x
Let's cross multiply again:
4(2x) = 24(2x - 5)
8x = 48x - 120
8x - 48x = - 120
-40x = - 120
(divide both sides by -40)
x = 3
Now let's "plug" 3 in where we had the variable "x" in the original equation to see if we are correct.
___4___ = __24___ (original equation)
2x � 5 2x
___4___ = __24___ (substituted 3 for "x")
2(3) � 5 2(3)
___4___ = __24___
6 - 5 6
___4___ = __24___
1 6
4 = 4
SO once again we have found the correct answer. Yay for us! :-)
I hope this helps. :-)
Answer:
[tex]r=9[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-8(6-r)=24[/tex]
Divide both sides by -8:
[tex]6-r=-3[/tex]
Subtract 6 from both sides:
[tex]-r=-9[/tex]
Divide both sides by -1:
[tex]r=9[/tex]
And we're done!
Little Johnny is fleeing from a horde of zombies. He is 4000 feet from a safe zone where a gate will be closed in 3 minutes. If Johnny is running at a rate of 22 mph, will he be able to reach the safe zone before the gate is closed? Yes or No? Explain BRIEFLY.
Answer:
Johnny will be able to reach the safe zone before the gate is closed.
Step-by-step explanation:
Given that:
Distance of Little Johnny from safe zone = 4000 feet
Time = 3 minutes
Speed = 22 mph
To find:
Will Johnny be able to reach the safe zone ?
Solution:
Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.
Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.
Let us have a look at the formula of distance traveled:
[tex]Distance = Speed \times Time[/tex]
Time = 3 minutes = [tex]\frac{3}{60}[/tex] hrs
Speed = 22 mph
[tex]Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles[/tex]
We know that 1 mile = 5280 feet
Therefore 1.1 miles = 5280 [tex]\times[/tex] 1.1 feet = 5808 feet
Distance traveled by Little Johnny is greater than 4000 feet.
Therefore Johnny will be able to reach the safe zone before the gate is closed.
is 1,600 1 tenth of 16,000
Answer:
true
Step-by-step explanation:
16,000 / 10 = 1,600
An item is on sale for $100. If it was discounted by 20%, what was the original selling price?
Answer: The original price was $125
Step-by-step explanation:
If an item is on sale for $100 and it was discounted by 20% then we could set up an equation and solve for the original price.
Remember if there were 20% discount then 80% of the price will be left.
80% * x = 100
0.8x =100
x = 125
Step-by-step explanation:
We have :
• Selling Price = $100
• discount = 20%
As we know
• Selling Price = Cost - Discount
Now we have
• Discount = 20%
Let cost be x
→ Selling Price = x - 20% of x
→ selling price = 80% of x
→ 80% of x = 100
→ 80/100 x = 100
→ x = 100 × 100 / 80
→ x = $ 125
One box of colored pencils has 9•10 to the power of 6 pencils . Another box has 10 to the power of 3 pencils. What is the total number of pencils in both boxes
Susan charges $8 per hour walking her neighbor’s dog. She charges $12 per hour babysitting. Part A: Define the variables. Part B: Write an expression to represent the amount Susan earns dog walking and babysitting
Answer:
Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.
Part B: y=8d+12b
Step-by-step explanation:
(7y2 - 3y)-(4y2 + 2y- 2)
Answer:
Step-by-step explanation:
7y^2 - 3y - 4y^2 -2y + 2
3y^2 - 5y + 2
needing help!!!! pls help
Answer:
110 = z
Step-by-step explanation:
Since these figures are similar, the angles have to be the same measure
<A =< E
<B = < F
<C = <G
<D = <H
110 = z
after paying income 5% a man has Rs 7600 left. what is his income?
Answer:
His income was 8000 rupees
Step-by-step explanation:
We must find his income so let that be x
We take 100%-5% = 95%
Turn this 95% into a decimal which is 0.95
So:
x * 0.95 = 7600
Rearrange this to give x:
x = 7600/0.95
x = 8000 rupees
The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.
What are percentages?Percentages are fractional values where the total amount is taken as 100.
25% of a quantity means 25/100 of that quantity.
How to solve the given question?In the question, we are informed that after paying 5% of income, a man is left with Rs. 7600.
We are asked to find his income.
We are given that a man pays 5% of his income, so he will be left with (100-5)% = 95% of his income as percentages are taken over a total of 100.
We assume the man's total income to be Rs. Y.
∴ We can say that the man is left with 95% of Y.
We know the man is left with Rs. 7600. So we can write this case as:
95% of Y = 7600
or, 95/100 of Y = 7600
or, (95/100)*Y = 7600
or, Y = (7600*100)/95 = 760000/95 = 40000/5 = 8000.
∴ The man's income is Rs. 8000. He has been left with 95 percent of his income = Rs. 7600.
Learn more about percentages at
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To undo multiplication, you
A.divide
B.mulitpy
C. add
D. subtract
Answer:
A
Step-by-step explanation:
It’s the opposite
Answer: In order to undo multiplication you must divide. For fractions multiply the reciprocal to get it to the other side in an equation.
Step-by-step explanation:
So it is given that we have to do the opposite operation of multiplication, so that is division. In an equation, if we have a fraction, then we multiply the reciprocal of the fraction to get it to the other side.
Hence, your answer.
divide 9y power 2 by 3
divide (8x power 2 +4x ) by 2x
Answer:
1=27
2=34
Step-by-step explanation:
1)9y power 2÷3
or, y=9 power 2÷3
or, y=9×9÷3
or, y=81÷3
or, y=27
2) (8x power 2+4x)÷2
=(8x×8+4x)÷2
=(64x+4x)÷2
=68x÷2
or, x=68÷2
or, x=34
What is the length of a rectangle with width 20 in, and area 172 in2
f (x) =2x-3 find f (1)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 1 }}}}}[/tex]
Step-by-step explanation:
Given, f( x ) = 2x - 3
Here, we assume the value of x as 1
Now, Finding f ( 1 )
[tex] \sf{f(1) = 2 \times 1 - 3}[/tex]
Multiply the numbers : 2 and 1
⇒[tex] \sf{f(1) = 2 - 3}[/tex]
Subtract the numbers : 3 from 2
⇒[tex] \sf{f(1) = - 1}[/tex]
Hope I helped!
Best regards!!
Answer: f = -6
Step-by-step explanation:
Remove parentheses
f= -2*3
f= -6
PLEASE GIVE A GOOD EXPLANATION FOR A FREE BRAINLIEST: 26.8 + 0.65 - 0.028 =
[tex]\boxed{27.422}[/tex]
We will use order of operations to add and subtract from left to right to solve this equation.
26.8 + 0.65 = 27.45
The equation now looks like:
27.45 - 0.028 = 27.422
Therefore, your answer is 27.422.
Answer:
ok so
26.8
+ 0.65
----------------
27.45
- 0.028
----------------
27.422
Step-by-step explanation:
uhh just math
cos²45+Sin²60 + sin^2 30
Step-by-step explanation:
[tex] { \cos}^{2} 45 \degree + { \sin}^{2} 60 + { \sin}^{2} 30 \degree \\ = \bigg( \frac{1}{ \sqrt{2} } \bigg)^{2} + \bigg( \frac{ \sqrt{3} }{ 2} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{2} \\ \\ = \frac{1}{2} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2}{4} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2 + 3 + 1}{4} \\ \\ = \frac{6}{4} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ [/tex]
Your teacher will give you a set of cards. On each card, Figure A is the original and Figure B is a scaled copy.
Sort the cards based on their scale factors. Be prepared to explain your reasoning.
¿Por que 10/25 es equivalente a 2/5?
Answer:
because if u divide the top and bottom by 5, you'll get 2/5
Step-by-step explanation:
Answer: Porque dividir ambos por 5 y eso es lo más bajo que pueden ir
Step-by-step explanation:
10 / 5 = 2
25 / 5 = 5
A basketball player scored 351 points last year. If the player plays 18 games this year, how many points will he need to average per game to beat last year’s total?
Answer:
The answer is C in my opinion and it is one of confusing question i have ever seen
Step-by-step explanation:
If he scored 351 points last years and he plays 18 games this year and if we want to know the points that he need to beat last year score in thsi year we need to divide 351÷18=19.5 so he will need to have no morethan 20 points because 19.5 is also enough to get the score
I hope u like it
Find m∠XYZ in the figure if ∠XYZ and ∠PQR are supplementary angles. please explain your answer Question 1 options: A) 83° B) 7° C) 173° D) 97°
Answer:
It's D) 97°
Step-by-step explanation:
Just stick this in ya brain
Supplementary angles => sum => 180
Answer:
D
Step-by-step explanation:
So, we know that ∠XYZ and ∠PQR are supplementary angles. This means that their total sum is 180 degrees. In an equation, this is:
[tex]\angle PQR+\angle XYZ=180[/tex]
Since we already know the measure of PQR, substitute 83 for PQR:
[tex]83+\angle XYZ=180[/tex]
Subtract 83 from both sides:
[tex](83+\angle XYZ)-83=(180)-83\\\angle XYZ=97\textdegree[/tex]
The answer is D
Determine if the survey question is biased. If the question is biased, suggest a better wording. Why is eating carrots good for you?
On Friday there were 8 snowboarders for every 3 skiers at Slovak ski resort. On Saturday the ratio of the number of snowboarders to the number of skiers was 4:7 there were 168 snowboarders at the ski resort on Friday there were the same number of people at the ski resort on Saturday as there were on Friday how many more skiers were there than snowboarders at the ski resort on Saturday
Answer:
There are 46 more skiers than snowboarder
Step-by-step explanation:
Given
Ratio of Snowboarders to Skiers
On Friday:
[tex]Ratio = 8 : 3[/tex]
On Saturday:
[tex]Ratio = 4 : 7[/tex]
Population = 168
Required
Determine the difference in the number of skiers and snowboarders on Saturday
On Saturday, we have
[tex]Ratio = 4 : 7[/tex]
Calculate Total
[tex]Total = 4 + 7[/tex]
[tex]Total = 11[/tex]
Calculate the number of skiers
[tex]Skiers = \frac{7}{11} * 168[/tex]
[tex]Skiers = \frac{1176}{11}[/tex]
[tex]Skiers = 107[/tex] (Approximated)
Calculate the number of snowboarders
[tex]Snowboarders = \frac{4}{11} * 168[/tex]
[tex]Snowboarders = \frac{672}{11}[/tex]
[tex]Snowboarders = 61[/tex] (Approximated)
Calculate the difference
[tex]Difference = 107 - 61[/tex]
[tex]Difference = 46[/tex]
Hence, there are 46 more skiers than snowboarder
Answer:63
Step-by-step explanation:
find the 40th term of an AP where 12th term is 45 and 17th term is 80.
Answer:
40th term = 241.
Step-by-step explanation:
17th term:
= a1 + 16d = 80
12th term
= a1 + 11d = 45 Subtracting the 2 equations:
5d = 80 - 45 = 35
d = 7
and a1 + 16(7) = 80
a1 = 80 -112 = -32.
Therefore the 40th term = -32 + 39*7
= 241.
Beverly Hibbs earns $683.00 a week. She is single and claims 2 allowances. What amount is withheld weekly for federal income tax
Answer:
$18 per week
Explanation:
The amount that is withheld weekly for federal income tax is $52.25
Federal Insurance Contribution Act is the legal organization used in the United States which contain the rules and regulations applied for calculating payroll taxes on the paychecks of the employee. The tax process is contributed by both the employees as well as the employers for funding the social security and Medicare programs.
The rate of federal tax withheld for the weekly paycheck is:
= 6.2% of social security + 1.45% for medicare
= 7.65% of the gross weekly pay.
If Beverly Hibbs earns $683.00 a week, the amount withheld weekly by the Federal income tax is:
= 0.0765 × 683
= $52.25
Learn more about federal income tax here:
https://brainly.com/question/17092810?referrer=searchResults
Solve the equation below for x.
сх — 4 = 7
Answer:
x = 11/c
Step-by-step explanation:
To solve this equation for x, we simply need to apply equation operations and isolate the x variable.
cx - 4 = 7
cx - 4 + 4 = 7 + 4
cx = 7 + 4
cx = 11
cx * (1/c) = 11 * (1/c)
x = 11 * (1/c)
x = 11/c
Cheers.
Four times the sum of half a number and 6 is 48.
How do you put this as an equation?
Answer:
make x the subject of formula then = 6/48
In a poll, 1004 women in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, % said that they were in favor. Identify the population and the sample.
Answer:
Population: A) All woman in the country
Step-by-step explanation:
Sample: A) The 1004 woman selected
write an equation for each line :
m = -4 and the y-intercept is 3
Answer:
y = -4x + 3
Step-by-step explanation:
m = slop
b = y-int
y = mx + b
Which number is not the square of a whole number?
100
400
80
Answer:
it should be 80
Step-by-step explanation:
100 squared is 10
400 squared is 20
80 does not have an exact answer 8.944 so it is 80
perform the indicated operation. (4+12i)+(-9-8i)
Answer:
4 i - 5
Step-by-step explanation:
Simplify the following:
4 + 12 i - 9 - 8 i
Hint: | Evaluate 4 + 12 i - 9 - 8 i.
4 + 12 i - 9 - 8 i = (12 i - 8 i) + (4 - 9) = -5 + 4 i:
Answer: 4 i - 5
I’ve tried for so long and I don’t know any of these please help I need answers
Answer:
Step-by-step explanation:
What is the domain of g?
Answer:
x≥ -3
Step-by-step explanation:
The domain is the values that x can take
g(x) = sqrt( x+3)
This must be greater than or equal to zero
x+3 must be greater than or equal to zero
x must be greater than or equal to -3
x≥ -3