Answer: ab =6
have:
[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]
=> a + b + 1 = ab
⇔ a + b + 1 - ab = 0
⇔ b - 1 - a(b - 1) + 2 = 0
⇔ (b - 1)(1 - a) = -2
because a and b are postive integers => (b - 1) and (1 - a) also are integers
=> (b - 1) ∈ {-1; 1; 2; -2;}
(1 -a) ∈ {-1; 1; 2; -2;}
because (b -1).(1-a) = -2 => we have the table:
b - 1 -1 1 2 -2
1 - a 2 -2 -1 1
a -1 3 2 0
b 0 2 3 -1
a.b 0 6 6 0
because a and b are postive integers
=> (a;b) = (3;2) or (a;b) = (2;3)
=> ab = 6
Step-by-step explanation:
Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin
Answer:
30
Step-by-step explanation:
Work backwards:
6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30Check your work:
2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys leftCan someone help me? Giving 23 Points.
Answer:
Option 2 you welcome
explanation: I had this question a while back and I'm 100% sure that this is the right answer!
question in the picture!!
looking for the answer of 1) , 2) and 3)
show your work using numbers!!
Answer:
1. 24%
2. 30%
3. 30%
Step-by-step explanation:
1. 100%/25= 4% 4%*6=24%
2. 100%/50= 2% 2%*15=30%
3. 100%/40=2.5% 2.5%*12= 30%
Line / has a ???
slope.
Answer:
this is a positive slope
Step-by-step explanation:
hope this helps
PLS HELP ME ASAP!!!!
In 2 hours, a canoeist can go 40 km downstream but only 6 km upstream. Find the rate of the current and the canoeist.
Answer:
20 Km per hour.
Is the equation y +1 = 6(x + 5) in point-slope form? Justify your answer.
(select) the equation is equivalent to
Answer:
yes its is slope
Step-by-step explanation:
HELPPPPPPPPPPPP
i give brainliest!
Answer:
C
Step-by-step explanation:
The scuba diver started at -55 feet as it says below the surface then went up 20 feet so the equation would be -55+20=-35
PLEASE HELP!!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.
Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.
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Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
5.00 0.55 0.005 5.005 5.5
0.55, 0.005, 5.00, 5.5, 5.005
0.005, 0.55, 5.00, 5.005, 5.5
0.005, 5.00, 0.55, 5.005, 5.5
Answer:
ima guess 3
Step-by-step explanation:
Answer:
the 3rd one
Step-by-step explanation:
0.005, 0.55, 5.00, 5.005, 5.5
brainlyest?
Find the measure of each angle (help me please)
Answer:
<1=39 degrees
<2=141 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps:)
plz mark as brainliest
Answer:
x-38+x+64=180(supplementry angle)
2x+26=180
2x=180-26
2x=154
x=154÷2
x=77
Again,1st angle
x-38
77-38
39
2nd angle,
x+64
77+64
141
Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
__
Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.
The coldest temperature last December was –18.24 degrees. The difference between this and the highest recorded temperature was 56.24 degrees. What was the highest recorded temperature?
Answer: The highest recorded temperature was 38 degrees.
Step-by-step explanation:
Given: The coldest temperature last December was –18.24 degrees.
Difference between this and the highest recorded temperature=
56.24 degrees
The highest recorded temperature = coldest temperature + difference
= -18.24+56.24 degrees
= 38 degrees
Hence, the highest recorded temperature was 38 degrees.
When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°
angle of depression. How far away was Ren from her family (ground distance)? Round to the
nearest tenth of a meter.
Write answer like this: ##.# m.
(5 Points)
Enter your answer
Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
(3x-5) (7x+5) find x
Answer:
I
Step-by-step explanation:
3x-5+7x+5+90=180
x=9
If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?
Answer:
$42.60
Step-by-step explanation:
change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Estimate to the nearest integer.
21
O 3
O 4
O 5
Answer:
5
Step-by-step explanation:
So the square root of 21 is 4.582...
If you round 4.582.. it is 5
Because you look at the first number behind the decimal (tenths place) if it is 4-0 you leave the number the same. If it is 5-9 you increase the number by 1.
Hope this helps ya!!
Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?
Answer:
$10.06
Step-by-step explanation:
Since there are 2 people, multiply the amount they each get by 2.
5.03 times 2=10.06
Final answer 10.06
Hope this helps:)
When Charlotte left her house this morning, her cell phone was 30% charged and it
then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in
terms of t, representing the charge remaining in Charlotte's battery, as a percentage,
t hours after Charlotte left her house.
Answer:
B = 32.5 - 2.5tStep-by-step explanation:
Let the initial percentage to be 30%
If it started to loose 2.5% every hour where;
t represents the time after Charlotte left her house
The amount of percent remaining every hour will form an arithmetic sequence as shown;
30, (30-2.5), (30-5.0),...
30, 27.5, 25.0...
Using the nth term for calculating an arithmetic sequence
B = a + (t-1)d
a is the first term = 30
d is the common difference = 27.5-30 = 25-27.5 = -2.5
t is the time
Substitute the given values into the formula;
B = 30 + (t-1)(-2.5)
B = 30+(-2.5t+2.5)
B = 30-2.5t+2.5
B = 32.5 - 2.5t
Hence equation for B, in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house is B = 32.5 - 2.5t
What is 12.18 x 103 =
Answer:
1,254.54
Step-by-step explanation:
Answer:
1,254.54
Step-by-step explanation:
Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.
Answer:
You just do
Step-by-step explanation:
Answer:
just click the thing that says "Ask blah blah about this question..."
Step-by-step explanation:
10 divided by 2 would be 5 because it pretty much splits it in equal parts like this if you do each friend get 1 cup of water there is 9 liters so what you do it give each 3 liters of water and that's 9 divided by 3 so you split 3 parts into 9
Answer:
First of how many friends are there and if each freind get one why are you giving them three and did you count yourself as well
Step-by-step explanation:
0.571428
is or is not the decimal equivalent of
4
7
. Write your answer in the space provided.
Answer:
4 ÷ 7 = 0.571428
Step-by-step explanation:
4 ÷ 7 = 0.571428
HELLLLLLLLLLLLLLLLLLLPPPPPPPP
Answer:
option 4
Step-by-step explanation:
Answer:
Option 4 (C)
Step-by-step explanation:
Substitute the f(x) = 10 - x^2 into where it says f(x):
g(x) = 3 f(x) - 8
g(x) = 3 (10-x^2) - 8
Because there is a -2 in place of the x in g(x), then we need to substitute the value of 2 for x into the equation:
g(-2) = 3 (10-(-2)^2) - 8
g(-2) = 18 - 8
g(-2) = 10
^-^ hope this helps! (●´ω｀●)
hi can somebody answer this rlly quickly
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
What is the y intercept of y= -3x-2
(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)
Answer:
-2
Step-by-step explanation:
we always know that the y intercept is after the x part. for example, if it was
y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign
the domain, range, and x-intercept of a one-to-one function are shown.
The drawing of the building, shown below, has a scale of 1 inch to 30 feet. What is the actual height, in feet, of the building?
Answer:
Actual height of the building is 37.5 feet
Step-by-step explanation:
Formula to be used to get the actual length of the building,
Scale used = [tex]\frac{\text{Dimension of image (on map)}}{\text{Dimension of actual}}[/tex] = [tex]\frac{1}{30}[/tex]
By this formula,
[tex]\frac{1.25}{\text{Actual height}}=\frac{1}{30}[/tex]
Actual height of the building = 1.25 × 30
= 37.5 feet
Therefore, actual height of the building will be 37.5 feet.
What is the binary number for 22
Answer:
I believe it is 10110
Step-by-step explanation:
hope this helps
Solve
4x - 9 = 6 - x
Answer:
x = 3
Step-by-step explanation:
The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.
Given Equation:
4x - 9 = 6 - x
Add both side x of the equation
4x - 9 +x = 6 - x + x
5x = 6
Now, divide both side by 6 gives
5x/ 5 = 6/5
x = 1.2
Thus, the value of x is 1.2.
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