$2,000 at 4% for 24 months. Find the interest earned
Which expressions are equivalent to 2(4x+2y)
A: 4(2x+y)
B: 8x+4y
C: 2x(4+2y)
D: 8x+2y
Answer:
A,B
Step-by-step explanation:
4(2x+y)
4•2x + 4•y
8x+4y
2(4x+2y)
2•4x + 2•2y
8x+4y
if
[tex]a = \frac{2x + \sqrt{x} }{x} [/tex]
and
[tex]b = \frac{1 - 2 \sqrt{x} }{ \sqrt{x} } [/tex]
without sing a calculator, show that
[tex](a + b) {}^{2} = \frac{4}{x} [/tex]
Answer:
Step-by-step explanation:
Rationalize the denominator of b. So, multiply the numerator and denominator by [tex]\sqrt{x}[/tex]
[tex]b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\[/tex]
Now, find a +b
[tex]a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}[/tex]
Combine like terms
[tex]= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}[/tex]
Now find (a + b)²
(a +b)² = [tex](\frac{2\sqrt{x} }{x})^{2}[/tex]
[tex]= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}[/tex]
Hint: [tex]\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x[/tex]
A car wash detailed 175 cars in 5 hours. At what rate did the car wash detail cars in cars per hour?
Answer:
35 cars per hour
Answer:
35 cars per hour
Step-by-step explanation:
175 cars in 5 hours.
175 cars ÷ 5 hours = 35 cars
Our final answer is 35 cars per hour
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Fred bought 6 liters of liquid laundry detergent, 3,250 milliliters of fabric softener, and 2.5 liters of bleach. Select true or false for each statement.
Answer:
False,False,True,False,True
Step-by-step explanation:
Hope this helps, I guarantee!
Please help me with this question!
Answer:
Your Answer Is 10
Step-by-step explanation:
1st Factor the Numerator and Denominator then cancel the common factor.
Hope It Help You If Yes then Please make me the Brainiest.
Thank You
Parshv
The first month a company was open, it had 2 employees. At the end of 6 months, the company had 10 employees. If the number of employees increases at a steady rate, write an equation that illustrates this situation.
the equation would be 2[6]+10 however if we were to solve it would have been 2(6)+10 = 22 employees
The equation y = 4/3 x + 2 represents the number of employees, increases at a steady rate.
Where x shows the number of months
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
At staring, when the company was opened,
The number of employees = 2.
After 6 months the number of employees in company = 10.
The increased number of employees = 10 - 2 = 8
In 6 months 8 employees are increases.
In 12 months number of employees = 10 + 8 = 18
Let y represents the number of employees
And x represents the number of months
So the equation can be written as,
y = 4/3 x + 2
The required equation is y = 4/3 x + 2.
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The figure shows a rectangle ABCD where the diagonals AC and BD intersect E. Given that BEC=52.
i)ADB,
ii)ACD
All of the edges of a regular triangular pyramid have length 12. A frustum of the pyramid has height half of that of the pyramid. What is the:
1) Volume of the frustum?
2) Surface area of the frustum?
Answer:
1) The volume of the frustum is 27·(√3)·h
2) The surface area the frustum is 24·h + 54·√3
Step-by-step explanation:
1) A frustum of the regular triangular prism is a portion of the triangular prism
The length of the edge of the triangle prism = 12
The area of the triangular face, A = (√3/4)·a²
∴ A = (√3/4)·12² = 36·√3
When
The volume of the triangular prism, V = A·h = (36·√3)·h
By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism = (√3/4)·6² = 9·(√3)
The volume of the top half, V₂ = 9·(√3)·h
The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h
The volume of the frustum = 27·(√3)·h
2) The surface area of the triangular side of the frustum is given as follows;
A = 36·√3- 9·(√3) = 27·(√3)
The surface area the frustum, [tex]F_A[/tex] = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3
The surface area the frustum = 24·h + 54·√3
Can someone plz help me with this one problem plz!!!
Answer:
i guess you just subtract by three
3- 3 = 0
4 - 3 = 1
5- 3 = 2
6- 3 = 3
what is a 90° plus 180° plus 15°
Answer:
285°
Step-by-step explanation:
90 + 180 = 270
270 + 15 = 285
Answer:
285°
Step-by-step explanation:
Lets solve your problem :)
90° + 180° = 270°
270° + 15° = 285°
Mark my answer brainliest to tell you the 4 algebra calulators :)
243.6 divided by 8
Explanation( process)
Answer:
30.45
Step-by-step explanation:
Answer:
30.45
Step-by-step explanation:
Please help me on this, I need to find X!
Answer:
x would most likely be 55.
Explanation:
because it is a right angle which is = to 90.
90-35=55
Answer:
55°
Step-by-step explanation:
Right angles are 90°
90 - 35 = 55° (x°)
The angles are adjacent, if it was vertical both angles would have the same degree. Adjacent angles are angles which have a common vertex and occur in right angled triangles.
5. Kevin buys a baseball glove that originally costs $88. The price is marked down 25% for a
sale, and Kevin has a coupon to further reduce the marked down price by 15% How much does
Kevin pay for the baseball glove?
N
help me plzzzzzzzzzz
Answer:
x = 3
Step-by-step explanation:
From the table of values
f(x) = g(x) = - 2 when x = 3 in both cases
The volume of a box is 400 in.^3in. 3 . The height is 5 in. What is the area of the base of the box?
Answer:
The area of the base is 80 in². 80 square inches.
Step-by-step explanation: V = b×h
Divide the volume by the height to find the area of the base.
400 ÷ 5 = 80
70 is what percent of 56
Answer:
70 is 125% of 50
Step-by-step explanation:
I hope this helped :)
The percentage value of 70 to 56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.
Given that, to find what percent of 70 in 56.
To find out if the percentage of 70 is 56, follow the steps:
Step 1:Find the ratio of the two numbers that is the ratio of 70 and 56 gives:
[tex]70:56 = 70/56[/tex]
Divide both numerator and denominator by 14 yields in:
[tex]= 5/4[/tex]
Step 2: Convert the result of step 1 into decimals by a long division of 5 by 4.
[tex]5/4 = 1.25[/tex]
Step 3: Find the percentage value of the decimal by multiplying the decimal by 100.
[tex]1.25 \times100 = 125[/tex]%
Therefore, the percentage value of 70 to 56 is 125% by taking the ratio of 70 to 56 and then converting it to a percentage.
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Someone help me on this one
Answer: Times 5
Step-by-step explanation:
Please help
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) It is a valid sample because the first eight people were selected to participate. It is not a valid sample because it is not a random sample of the population. It is a valid sample because money was offered to participants. It is not a valid sample because it is only a short study.
Answer:
the answer is b
Step-by-step explanation:
Ronald is 39 years old, and he owns her car, which he uses to drive to work.
His collision deductible is $500, and he does not have comprehensive
coverage. If his car's safety rating is 12, how much does he pay each month
for car insurance?
O A. $172.55
B. $143.75
C. $150.50
D. $135.35
Answer: $143.75
Step-by-step explanation:
Answer:
143.75
Step-by-step explanation:
Question 6
1
Solve for n-
. (an + 2) = 19
ОА
10
=
B
-
8
-10
Answer
Answer:
n=17/a
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
I need help on this pls
Answer:
Area= 56 cm²
Step-by-step explanation:
Figure given is a rhombus
Area= 1/2*d1*d2
can y’all please help. I will send points if you want me to.
Answer:
the third one has a 2 acute angles 2 abuse angles and the x value is 110
Step-by-step explanation
the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle
solve and get brainliest!!
please be sure of your answer!!!!
Answer:
B
Step-by-step explanation:
all 3 angles of a triangle must equal 180 degrees, so if it tell you that there is a 68 degree angle, and a 90 degree angle(because if the right angle), then the last angle must be 22, because 180-(68+90)=22
algebra question
3-x=5-3x
Answer:
x=1. Hope this helps!!!
C = 10
C = v52
C = 8
C = 120
Answer:
[tex]c = \sqrt{52}[/tex]
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 4^{2} + 6^{2}[/tex]
[tex]c^{2} = 16 + 36\\[/tex]
[tex]c^{2} = 52[/tex]
[tex]\sqrt{c^{2} } = \sqrt{52}[/tex]
[tex]c = \sqrt{52}[/tex]
Simplify. Express your answer as a single fraction in simplest form.
2 46
+
3bc 5
DO
Answer:
Step-by-step explanation:
The fractions need a common denominator before you can add them together.
The least common denominator is 15bc.
pls help me with this question
Answer:
b
Step-by-step explanation:
besase of i don't nown but answer is d no
Answer:
C
Step-by-step explanation:
If you know what the distributive property is that will help a lot, if not I'll show you how to solve this.
6(x + 13)
Then you do 6 times x which would be 6x. Next you multiply 6 by 13 which is 78. So, your answer would be 6x + 78. Which is answer choice C.
Byron needs at least 20 m rutes between
the end of his soccer practice and the start
of his dentist appointment His practice cuds
at 4 30 and his appointment is at 5:00?
Answer:
yes
Step-by-step explanation:
if it ends at 430 he will have 30 min before his appoionment
wages have been rising at 6% per year in your area. if this continues, how much will you need to pay you $14 per hour employees in two years
Answer:
15.73
Step-by-step explanation: I just kinda guessed and got it right.
You need to pay $15.73 per hour to employees in next two years.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Wages have been rising at 6% per year in your area.
Next year, you need to pay employees,
= 14 + 14 x 6/100
= $14.84
Again next year,
you need to pay = 14.84 + 14.84 x 6/100
= $15.73
Therefore, the wage is $15.73 per hour to employees.
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