Answer:
Add a radical term to both sides and square both sides twice.
Step-by-step explanation:
Given the radical equation
√(b+6) - √b = 5
We are to evaluate the expression for the value of b
Step 1: Add the radical term √b to both sides
√(b+6) - √b +√b = 5+√b
√(b+6) = 5+√b.
Step 2: Square both sides of the equation
(√(b+6))² = (5+√b.)²
b+6 = 25+10√b+ (√b)²
b+6 = 25+10√b + b
Step 3: collect like terms
b+6-b-25 = 10√b
-19 = 10√b
Step 4: square both sides of the resulting equation
(-19)² = (10√b)²
361 = 100b
b = 361/100
b = 3.61
Based on the calculation above, the correct option is C.
Add a radical term to both sides and square both sides twice.
Answer:
C
Step-by-step explanation:
edg 2021
Carter deposits $200 into a new savings account that pays 6% simple interest annually. Reese deposits $200 into a new savings account that pays 6% interest compounded annually. If both Carter and
Reese leave their $200 deposit in their accounts for 6 years, how much more will Reese's deposit eam in interest than Carters deposit
Explain all steps taken to solve the problem
Answer:
$11.70
Step-by-step explanation:
X= starting amount ($200)
R= interest rate (6%)
Y= years (6)
simple interest= [tex]X(1+ r^{y} )[/tex]
compounded interest= [tex]X(1+r)^{y}[/tex]
I’m confused and don’t know why this should be easy but please help
Answer:
12$
Step-by-step explanation:
he worked from 1:45-4:45 wich means he worked 3 hours,then 3 hours *4$ =12$
Answer:
12 dollars
Step-by-step explanation:
Hello!
To solve this question, we understand that:
- the rate at which he earns money is 4 dollars an hour.
-if we find how many hours elapsed between 1:45pm-4:45pm, it is three hours which means he has worked for three hours
(4:45pm-1:45pm=3:00 hours)
Knowing this equation, we must figure out how much he earns during this time frame, 3 hours.
Since we know that the rate is 4 dollars an hour and he has worked 3 hours, let's multiply 4 times 3 (or add 4 three times 4+4+4) to get 12 dollars he has worked during this time.
Зу -- 4 +6 — 2y
2(x+5) = 3x +1
3(n+2) = 9(6-n)
the scale of a map is 1cm : 2km. if the length of Alfreda creek on this map is about 2.85 cm, calculate the actual length of the creek
1 cm..............2 km = scale of the map
2,85 cm....... n km = to be calculated
n x 1 = 2 x 2,85
n = 5,7 km
Step-by-step explanation:
1cm rep 2km
2.85x2
=5.7
=5.7km
Which represents the solution(s) of the system of equations, y = x2 – 6x 8 and y = –x 4? Determine the solution set by graphing. (1, 3) only (2, 0) and (4, 0) (1, 3) and (4, 0) no solutions.
The solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)
What is a solution to a system of equations?For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
For the considered case, the system of equations given to us is:
[tex]y = x^2 - 6x + 8\\y = -x + 4[/tex]
Plotting both's graph and finding the common points on both's graph, we get the common points as:
(1,3) and (4,0)
These points satisfy both the equations simultaneously.
Therefore, the solution of the considered system of equation is represented by: Option C: (1,3) and (4,0)
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Answer:
c is correct
Step-by-step explanation:
What is an equation of the line that passes through the point (-6,-6) and is parallel to the line x-3y=18
2. At a store, 3 cents on every dollar spent is charged as sales tax. How much is paid as sales tax on a costume which cost $196.00
They paid sales tax on a customer which cost $196.00 is 75 %.
We have given that,
At a store, 3 cents on every dollar spent is charged as sales tax.
What is the sale tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services
0.3 multiplied by $196.00
0.3 *196=58.8
$58.8 as sales tax.
Adding that to the $196 dollars
$58.8+$196=$254.80
Therefore total sum and amount of
=$254.80
Therefore, they paid sales tax on a customer which cost $196.00 is 75%.
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7/8 divided by 1/4 simplest form
[tex] = \frac{7}{8} \div \frac{1}{4} [/tex]
[tex] = \frac{7}{8} \times \frac{4}{1} [/tex]
[tex] = \frac{(7 \times 8)}{4} [/tex]
[tex] = \frac{56}{4} [/tex]
[tex] = \frac{56 \div 4}{4 \div 4} [/tex]
[tex] = \frac{14}{1} [/tex]
[tex] = 14[/tex]
Therefore :-
[tex] \frac{7}{8} \div \frac{1}{4} = 14[/tex]
Which expression is equivalent to 6-(8)
-6+8
-6+(8)
6+(8)
6+8
Answer:
-6+8
Step-by-step explanation:
-6+8=6-(8)
-2=-2
Hoped it helped :)
what is 0.6x10 into the 3rd power
Answer:
216
Step-by-step explanation:
First, multiply 0.6 by 10
The answer is 6
The multiply 6 to the third power.
6 · 6 · 6 = 216
Hope I helped :)
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change 6 over 25 to percentage
Answer:
24%
Step-by-step explanation:
convert the fraction to decimal then multily by 100
6/25 to decimal is 0.24
0.24 x 100 = 24
Answer:
24%
Step-by-step explanation:
6/25
=0.24
=24%
Evaluate -18 + x(-6)
When x = -9
The answer to your question is 36
-18 + x(-6)
Substitute x with -9
-18 + (-9) (-6)
Then you get 36
Hey there!
-18 + x(-6)
= -18 + (-9)(-6)
= -18 - 9(-6)
= -18 - (-54)
= -18 + 54
= 36
Therefore, your answer is: 36
REMEMBER!
• Negative & negative = positive
• Positive & positive = positive
• Negative & positive = negative
• Positive & negative = negative
• Negatives are smaller than 0
• Positives are bigger than 0
• Negatives are to the LEFT of 0
• Positives are to the RIGHT of 0
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
f 5y - 8 < 12, what is the maximum possible value of 10y ?
Answer: 30 is the maximum possible value of y
Scale drawing: a rectangle with length 4 feet and width 3.75 feet. Initial dimensions: a rectangle with length 24 feet and width 15 feet. New dimensions: a rectangle with length 20 feet and width 18.75 feet.
Abdul planned a pool to be 24-feet long. To fit in his yard, however, the pool can only be 20-feet long. Abdul’s ratio and work is below. Where did he make an error?
StartFraction 24 feet divided by 6 over 20 feet divided by 6 EndFraction = StartFraction 4 over 3 EndFraction
Abdul’s work is correct.
Abdul should have divided by 5, not 6.
Abdul should have divided by 4, not 6.
This problem has no change in the scale factor.
PLEASE ANSWER ASAP!!!
Answer:
He should have divided by 4, not 6....
Step-by-step explanation:
Just did the lesson
Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
What is Area of Rectangle?The area of Rectangle is length times of width.
According to the information provided, the initial dimensions of the pool are a rectangle with length 24 feet and width 15 feet.
The corresponding dimensions in the drawing are a rectangle with length 4 feet and width 3.75 feet.
Therefore, the scale factor for the length is:
24/4 = 6
And the scale factor for the width is:
15 feet / 3.75 feet = 4
Abdul wants to fit the pool into a smaller space, so he needs to find the corresponding dimensions of the pool in the drawing that has a length of 20 feet.
To maintain the same scale, he needs to apply the same scale factor to the new length.
Thus, the new length in the drawing is:
20/6 = 3.33 feet
Similarly, he needs to apply the same scale factor to the new width to maintain the same scale.
Thus, the new width in the drawing is:
18.75/4 = 4.69 feet
Now, let's check Abdul's work:
24/6×6/20=4/3
Left side is not equal to right side.
Abdul should have divided by 5, not 6.
Hence, Abdul have done error by dividing with 6 instead of 5, So Abdul should have divided by 5, not 6 is correct option.
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In 1992 the average family income was about 42000, and in 2002 it was about 56256. Let x = 0 represent 1992, x = 1 represent 1993, and so on. Find values for a and b (rounded to one decimal place if necessary) so that f ( x ) = a x + b models the data a = b = What was the average family income in 1997? $
Step-by-step explanation:
Given the function that models the income of a family as g(X) = ax+b
at x = 0, g(x) = 42000, the function becomes;
g(X) = ax+b
42000 = a(0)+b
42000 = 0+b
b = 42000
at x = 1, g(x) = 56256
56256 = a(1) + b
56256 = a+b
a = 56256 -b
a = 56256 - 42000
a = 14,256
To get the average family income in 1997, wee need to calculate g(x) at when x = 5, since the number of years between 1992 and 1997 is 5years.
g(x) = ax+b
g(5) = 14256(5) + 42000
g(5) = 71,280+42000
g(5) = 113,280
Hence the average family income in 1997 is 113,280
What is the slope of the line that contains (-3,5) and (-3, 6)?
Answer:
1
Step-by-step explanation:
You can find slope by the formula
y2-y1 over x2-x1
In this case, 6-5 over -3-(-3) or -3=3
This is equal to 1 over 0 which is 1
Sabrina’s schedule is listed below. Each of her teachers only teaches one subject. Is this an example of a function? Why or Why not?
Period
Class
1st
Band
2nd
PE
3rd
Math
4th
SS
5th
ELA
6th
Science
Which value is NOT equivalent to the other values?
Answer:
1.5
Step-by-step explanation:
All the other values are .15, 1.5 does not equal .15, so it is not equivalent.
Hopefully this helps- let me know if you have any questions!
Answer:
1.5
Step-by-step explanation:
3/20 =15% =0.15
1.5 is not equivalent to the other values
With the summer approaching, Mya decides to start a small lawn mowing business in her town. The initial cost for the lawnmower and other fixed expenses is $450. She determines it will cost her $6 per lawn for gasoline and maintenance. Mya decides to charge customers $20 per lawn.
Step-by-step explanation:
I believe we are expected to solve for the number of lawns she would mow before she could make profit
let the cost be C
and let the price be P
and let the number of lawn be x
C=$450----------1
P=6+20x---------2
equating 1 and 2 we can find x
450=6+20x
450-6=20x
444=20x
x=444/20
x=22.2
therefore for her to break even and start making profit she need to mow 22.2 lawns and above
. choose the model that represents the division sentence . a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with six part shaded. a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with two part shaded. a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with four part shaded. a rectangle divided into six parts with one part shaded.becomesa rectangle divided into twelve parts with one part shaded.
Answer:
B
Step-by-step explanation:
(-4).(-8) =
Please helpppp
Answer:
32
Step-by-step explanation:
negative times negative = positive
A right cone is sliced parallel to its base.
What is the shape of the resulting two-dimensional cross section?
A. Circle
B. Rectangle
C. Triangle
Answer:
A
Step-by-step explanation:
The answer is circle because if you slice a cone parallel to the base, the cross section is circle
A Right Cone is sliced parallel to its base the resulting shape is Circle.
What is cone?A cone is a" three dimensional shape consisting one circular shape and once continuous curved surface tapering to a point".
According to the question,
A right cone is slice parallel to its base.
In order to find the resulting shape. When a right cone is sliced parallel to its base it results Circle.
Hence, right Cone is sliced parallel to its base the resulting shape is Circle.
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What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7?
3
9
27
63
Answer:
B
Step-by-step explanation:
what expression is equivalent to 3 (m -3) + 4
Answer:
You didn't add any options but here is a couple that could work.
3m - 9 + 4
3m - 5
Hope that helps and have a great day!
CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU
Hey guys please help
How many solutions does the equation 4q + 8 = 6 + 2 + 4q have? (1 point) Two None Infinitely many One
Answer:
b
Step-by-step explanation:
Susan pushes a box up an inclined plane doing 50 Joules of work. The output work was calculated to be 25 loules. Find the efficiency of this inclined plane
A) 25%
B) 50%
C)100%
D) 200%
what is 200 times 40000
200 times 40000 is 8000000.
200
x 40000
---------------
8000000
Answer: 8,000,000
Step 1: Multiply by smaller parts.
2 x 4 = 8
Step 2: Add all the zeros.
8,000,000
Answer = 8,000,000
Hope this helps!
George was reading a book. The book was 60 pages long. He read 15 pages on Monday, 10 pages on Tuesday, and 21 pages on Wednesday. How many pages does he need to read on Thursday to finish the book?
Answer:
He needs to read 14 pages on Thursday to finish the book