Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
let the original fraction be
[tex]\frac{n}{n+1}[/tex] ( with denominator 1 more than numerator )
Subtracting 3 from numerator/ denominator gives
[tex]\frac{n-3}{n+1-3}[/tex] = [tex]\frac{n-3}{n-2}[/tex]
Given that the fraction is now equivalent to [tex]\frac{1}{2}[/tex] , then
[tex]\frac{n-3}{n-2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2(n - 3) = n - 2, distribute left side
2n - 6 = n - 2 ( subtract n from both sides )
n - 6 = - 2 ( add 6 to both sides )
n = 4
and n + 1 = 4 + 1 = 5
Thus original fraction is [tex]\frac{4}{5}[/tex]
What is the slope of (9,7) and (10,8)?
Answer:
Use the slope formula to find the slope
m . m = 1
Step-by-step explanation:
Please Help! Find the slope of the line that passes through (71, -34) and (-11, -51).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
d d m
Step-by-step explanation:
For which value(s) of x will the relation not be a function? R:{( x+2 +16, 3), (21, 17)}
I need answer fast
Answer:
x=3, x=-7
Step-by-step explanation:
Megan has 62 rocks in her rock collection. She wants to put 2 rocks in some cases and 11 rocks in other cases. Select a possible arrangement of rocks. A. Have 4 cases of 2 rocks, and 9 cases of 11 rocks. B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks. C. Have 9 cases of 2 rocks, and 1 case of 11 rocks. D. Have 1 case of 2 rocks, and 4 cases of 11 rocks.
Answer:. B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks
Step-by-step explanation:
Total rocks = 62
A. Have 4 cases of 2 rocks, and 9 cases of 11 rocks
(4 * 2) + (9 * 11) > 62 ( false)
B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks
(9 * 2) + (4 * 11) = 18 + 44 = 62 rocks (true)
C. Have 9 cases of 2 rocks, and 1 case of 11 rocks
(9 * 2). + (1 * 11) < 62 ( false)
D. Have 1 case of 2 rocks, and 4 cases of 11 rocks.
(1 * 2) + (4 * 11) < 62
What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?
Y = MX + B
a.) y = -3x + 13
b.) y = -3x - 11
c.) y = -3x - 13
d.) y = -3x - 23
Answer:
a.
Step-by-step explanation:
y+5=-3x+18
subtract 5 from both sides
y+5-5=-3x+18-5
y=-3x+13
The required equation of the line in the slope-intercept form is y = -3x + 13. Option A is correct.
Given that,
To transform the given point-slope form of the equation into slope-intercept form.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given the form of the equation of the line,
y + 5 = -3(x - 6)
Simplifying,
y = -3x + 18 - 5
y = -3x + 13
Thus, the required equation of the line in the slope-intercept form is y = -3x + 13. Option A is correct.
Learn more about simplification here:
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Mercury has a freezing point of -38 degrees F. Water has a freezing point of 32 degrees F. What is the difference?
Answer:
70
Step-by-step explanation:
Take the absolute value of both numbers. In this case, -38 and 32. So 38 and 32.
Add: 38+32
70
I think I may be wrong
simplify\:\sqrt[3]{27x^{15}}y^{24}
Answer:
[tex] 3x^{5}y^{24} [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{27x^{15}}y^{24} = [/tex]
[tex] = \sqrt[3]{3^3x^{15}}y^{24} [/tex]
[tex] = (3^3x^{15})^{\frac{1}{3}}y^{24} [/tex]
[tex] = (3^3)^{\frac{1}{3}}(x^{15})^{\frac{1}{3}}y^{24} [/tex]
[tex] = 3^{3 \times \frac{1}{3}}x^{15 \times \frac{1}{3}}y^{24} [/tex]
[tex] = 3^1x^{5}y^{24} [/tex]
[tex] = 3x^{5}y^{24} [/tex]
.
What is the value of the 5 in the number 2.005?
0.05
0.5
5
0.005
Answer:
D, 0.005 thousandths
Step-by-step explanation:
We just need to know the vaule of the number 5, so we can ignore the 2 in the ones place for now. That would be equal to 0.005.
what will be the VAT amount on purchase
of good worth Rs. x at y%
xy/100
y/100x
x/100y
100/xy
Answer:
xy/100
Step-by-step explanation:
the VAT amount on purchase
of good worth Rs. x at y%
[tex] = x \times \frac{y}{100} \\ \\ = \frac{xy}{100} \\ [/tex]
5.
Write the equation of the line of symmetry of the
function shown in the graph. 7
y
x
O
O A x=-5
B x=-3
OC r= -1
OD r=0
OE y = 0
Answer:
I thinks it A or D
Step-by-step explanation:
Yea A Or D is our answer
The equation that describes the line of symmetry in the figure given is:
x = -3.
What is a Line of Symmetry?A line of symmetry is a fictitious line that divides a shape or figure into two equal halves, one of which is a mirror image of the other.
A line of symmetry running along the vertical axis will divide the supplied triangle into two equal halves (x-axis).
Equation of the Vertical axis is expressed as
x = -3.
Thus, the equation that describes the line of symmetry is: x = -3.
Learn more about line of symmetry here:
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6= -2/3n pls someone help
Answer:
n=-9
Step-by-step explanation:
which of the following has least value 5/7,7/8,11/15,7/10
Answer:
5
Step-by-step explanation:
Find the distance between (-2,2) and (0,-4)
Answer:
6.3246
Step-by-step explanation:
Answer:
(-2,6)
Step-by-step explanation:
Subtract -2 by 0 and 2 by -4
PLS HELP! Choose the graph of y = (x - 3)^2 + 1
Answer:
the third one
Step-by-step explanation:
go on desmos graphing calculator
Complete the following word problems using systems of equations.
1. Astronauts traveling to the International Space Station have to be very careful about
weight (it takes about 9 lbs of rocket fuel to send 1 lb of stuff to the station). Each
astronaut can bring approximately 11 lbs of personal items (mementos and clothes)
with them into space. Each memento weighs about 0.1 lb, and each item of clothing
weighs about 0.5 lbs. If an astronaut wanted to bring 30 items with them, how many
mementos and pieces of clothing would they bring?
Answer:
10 mementos and 20 items of clothing
Step-by-step explanation:
Using the system of linear equations, the astronauts will bring 10 mementos and 20 clothings.
Let :
mementos = mClothing = c m + c = 30 - - - - - - - - - (1)0.1m + 0.5c = 11 - - - - - (2)From (1) :
m = 30 - c - - - - (3)Put m = 30 - c in (2)
0.1(30 - c) + 0.5c = 11
3 - 0.1c + 0.5c = 11
Collect like terms :
0.4c = 11 - 3
0.4c = 8
c = 8/0.4
c = 20
From (3) :
m = 30 - c
m = 30 - 20
m = 10
Therefore, Astronaut will bring 10 mementos and 20 clothings.
Learn more : https://brainly.com/question/15165519
PLS HELP ASAP!!
Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?
Answer:
60,367
Step-by-step explanation:
i = p x r x t
I = 53000 x 6.7/100 x 17
I = 53000 x 0.067 x 17
I=60,367
Answer:
A≈165553.09
Step-by-step explanation:
5. Which single step will solve the equation 9 = x-3?*
O Multiply both sides of the equation by 3.
O Subtract 3 on each side of the equation
Divide by 3 on each side of the equation
O Add 3 to each side of the equation
Answer:
Add 3 to each side of the equation
Step-by-step explanation:
The problem is 9+ x-3, so to isolate the x we need to remove the -3, and to do that we need to add positive 3 and whatever you do to one side you must do to the other! hope this helps
Mark was thinking of a number. Mark doubles it and gets an answer of 64. What was the original number?
Answer:
32
Step-by-step explanation:
32x2=64
Answer:
32
Step-by-step explanation:
64/2=32
hboviyvvvgyivihivhvycfvgfitdrxfh cxydchgvjhbvgcfhyrtxcfyhvjb vctyfrxcfygvjhbvgcyfrvtuytu
Answer:
I think the answer is uytrtrextcyukjljmnbvcfghkjhvgycuyvhgcyuu
Step-by-step explanation:
solve and graph the absolute value inequality: |2x + 4| > 8
Answer:
C
Step-by-step explanation:
To get rid of the absolute value bars you have to get two different equations which would be 2x+4>-8 AND 2x+4>8. Pay attention to the signs, if there is greater than or equal to then it would have a line underneath the sign, which neither of the equations should have since you haven't moved a negative. solve normally and you'll get -6 blank circle and 2 blank circle.
what is 5 * 10 equals
Answer:
50
Step-by-step explanation:
A car travels 700m North and then 300m East and then 300m South. This journey takes 1 min and 40s. The total
displacement is m
and the average velocity is
m/s
Answer:
Displacement is 500mStep-by-step explanation:
North=700m
East= 300m
South=300m
y=700-300=400m
x= 300m
We know that the displacement is found using the Pythagoras theorem
let the displacement be d
d^2= x^2+y^2
d^2= 400^2+300^2
d^2= 160000+90000
d^2=250000
d=√250000
d=500m
The sum of x and 4 is greater than the difference of 2x and 3. Find x.
Answer: x is less than 7
Step-by-step explanation:
(-infinity, 7)
At a cherry farm, the cost per pound of cherries depends on the amount of cherries bought. For an amount up to 100 pounds, the cost is $1.75 per pound, and, for an amount over 100 pounds, the cost is $1.50 per pound. Ralph bought 60 pounds and Jeff bought 80 pounds separately. If they had bought the total amount jointly, how much would they have saved?
Answer:
they would have saved 35 dollars
Step-by-step explanation:
Ralph on his own would have paid 105 and jeff 140 but together with the discount they could save $35 by paying 210 in total with the discount.
Elena has some bottles of water that each holds 17 fluid ounces. Write an equation that relates the number of bottles of water (b) to the total volume of water (w) in fluid ounces.
1) How much water is in 51 bottles?
2) How many bottles does it take to hold 51 fluid ounces of water?
Answer: The equation that relates b to w is 17b=w
1) How much water is in 51 bottles? : 867 fluid ounces
2) How many bottles does it take to hold 51 fluid ounces of water? : 3 bottles
Step-by-step explanation: If you want an explanation, here you go:
For the first question (how much water is in 51 bottles), you use the equation that I wrote, 17b=w. Substitute the b with the amount of bottles, 51, and just solve for the variable, w. You get (17*51=) 867 fluid ounces.
For the second question (how many bottles does it take to hold 51 fluid ounces of water), you simply divide. 51/17=?. ?=3 bottles.
Hope this helps, you can use a calculator to check my work.
please helppp me on this :(
Answer: the answer is 4 decimal places and the second one is 10 to the power of 4 (10*4)
Step-by-step explanation:
the measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number of sides
24
Answer:
The measure of the interior angle is 156°
The polygon has 15 sides
Step-by-step explanation:
Let us revise some facts in a polygon
The sum of the exterior angles of any polygon is 360°At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)A regular polygon has equal angles and equal sidesIn our question
∵ The measure of an exterior angle of a regular polygon = 24°
∵ The sum of measures of the interior angle and exterior angle at
a vertex of a polygon is 180°
∴ The measure of the interior angle = 180° - 24°
∴ The measure of the interior angle = 156°
∵ The sum of the exterior angles of any polygon is 360°
∵ The polygon is regular (all angles are equal in measures)
∴ The measure of each exterior angle = 360° ÷ n, where n the
number of its angles or sides
∴ 24° = 360°/n
→ Multiply both sides by n
∴ 24n = 360
→ Divide both sides by 24
∴ n = 15
∴ The polygon has 15 sides
Here is a picture that’s shows one slide of a child’s wooden block with a semicircle cut out at the bottom. Find the area of the side
Answer:
where the pic at
Step-by-step explanation:
Find the distance between point C(2, -1) and D(2,5). Round to the nearest tenth, if needed.
FORMULAS
distance =
(x2 – xı)2 + (yz - y.)?
midpoint = (2)
0
6
8.3
5.5
Answer:
6
Step-by-step explanation:
I used a calculator because I don't think you need to show work on this problem if you do tell me, and I'll edit my answer.
Once you plug in your numbers in the distance formula you get 6
Since it is only asking for the distance you don't need to worry about the midpoint.
Can you help me with this math problem please?
Answer:
7/2 or 3.5
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
the explanation is in the picture, I hope this helped!!