please show work for both thank you!!
Answer:
a. x = 4.8989794855663561963945681494118 or 4.9 rounded
b. x = 8.6023252670426267717294735350497 or 8.6 rounded
Step-by-step explanation:
7² - 5² = x²
49 - 25 = x
49 - 25 = 24
√24 = 4.8989794855663561963945681494118
7² + 5² = x²
49 + 25 = x
49 + 25 = 74
√74 = 8.6023252670426267717294735350497
What kind of solution is this? Prove it.
3+8x=8x+3
3=3
0=0
Answer:
all real numbers
Step-by-step explanation:
3 + 8x = 8x + 3
Subtract 8x from both sides.
3 = 3
Since 3 = 3 is a true statement, the solution is
x = all real numbers
Every number is a solution of this equation.
7. George has some quarters and some dimes. He has 6 more dimes than quarters and all of
the coins he has are worth $3.05. How many dimes and quarters does George have?
Answer:
the answer will be 18 ohkay but they will eill have more dimes than quarters
Answer:
Please the answer from the other user is completely wrong, the real answer is 7 quarters and 13 dimes
Step-by-step explanation:
0.1 (x+6) + 0.25x = 3.05
0.35x = 2.45
x = 7
therefore,
7 quarters
x+6 dimes = 13 dimes
PLEASE GIVE BRAINLIEST
What value of x makes AD|| EH
Answer:
x = 3
Step-by-step explanation:
92 - 8x = 68
-8x = -24
x = 3
The two angles mentioned in the problem, if AD || EH, are congruent because they are corresponding angles.
Big brutus pizza had two deals on pizza the first was $6 for a cheese pizza plus $3 for each topping the second deal was $20 per cheese pizza and 1 dollar per topping wat is the x and y
Answer:
[tex]x = 7[/tex] --- toppings
[tex]y = 27[/tex] ---- amount
Step-by-step explanation:
Given
[tex]y \to\ amount[/tex]
[tex]x \to\ topping[/tex]
The first deal is:
[tex]y = 6 + 3x[/tex]
The second is:
[tex]y = 20 + x[/tex]
Required
The value of x and y [for which both deals are equal]
We have:
[tex]y = 6 + 3x[/tex]
[tex]y = 20 + x[/tex]
Equate both
[tex]y=y[/tex]
So, we have:
[tex]6 + 3x = 20 + x[/tex]
Collect like terms
[tex]3x - x = 20 - 6[/tex]
[tex]2x =14[/tex]
Divide by 2
[tex]x = 7[/tex]
Substitute [tex]x = 7[/tex] in [tex]y = 20 + x[/tex]
[tex]y = 20 + 7[/tex]
[tex]y = 27[/tex]
Jacob bought some supplies for his lemonade stand. He purchased lemons for $4.85, sugar for $3.16, containers for $18. Taxes were included in all the prices. How much money did Jacob spend on all his purchases?
Answer:
26.01
Step-by-step explanation:
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 63 manufacturing companies located in the Southwest. The mean expense is $50.63 million and the standard deviation is $11.48 million. Is it reasonable to conclude the sample data are from a population that follows a normal probability distribution?
Answer:hi
Step-by-step explanation:
Hi
What are the solutions to the equation x2 + 4x – 12 = 0? O A. x = -6 and x = 2 O B. x= -4 and x= 3 O C. X=-3 and x = 4 D. x = -2 and x = 6
Answer:
the answer is A.
Calculate the marked price (original price) if
a. After 25% discount, the price of an article is Rs 7500,
Answer:
Step-by-step explanation:
let original price of an article be x
marked price(price after discount )=Rs 7500
discount%=25%
discount =discount % of cost price
=25/100*x
=25x/100
=x/4
Mark price=original price-discount amount
Rs 7500=x-x/4
Rs 7500=4*x-x/4
Rs 7500*4=4x-x
Rs 30000=3x
Rs 30000/3=x
Rs10000=x
therefore original price of an article is Rs 10000.
A rolled up sleeping bag and shaped like a cylinder with a radius of 5" and a volume of 1727.9 cubic inches. What is the height of the road up sleeping bag?
Answer:
I think the height is 22.
Simplify the expression. x4y−4z−2x2y−2z4 y2x2z6 the fraction with numerator y squared and denominator x squared z to the 6th power x2y2z6 the fraction with numerator x squared and denominator y squared z to the 6th power x2y2z6 the fraction with numerator x squared y squared and denominator z to the 6th power y2z6x2
Given:
Consider the given expression is:
[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{x^4y^{-4}z^{-2}}{x^2y^{-2}z^4}[/tex]
By using the quotient property of exponents, we get
[tex]=x^{4-2}y^{-4-(-2)}z^{-2-4}[/tex] [tex]\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right][/tex]
[tex]=x^{2}y^{-4+2}z^{-6}[/tex]
[tex]=x^{2}y^{-2}z^{-6}[/tex]
By using negative exponent property, we get
[tex]=\dfrac{x^{2}}{y^{2}z^{6}}[/tex] [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]
The simplified form of the given expression is [tex]\dfrac{x^{2}}{y^{2}z^{6}}[/tex].
Therefore, the correct option is B.
What is the probability of picking a 5 and then picking a 4?
At noon, the temperature at a mountaintop research center is 11
degrees. Overnight the temperature drops to -19 degrees.
Which expression represents how much the temperature
changed?
A. |19|
B. |-19|
C. |-30|
D. |-38|
For 1a-1b: At a book sale, all books cost less than $5
(1a) What is the highest price that a book could be?
Answer:
$4.99
Step-by-step explanation:
It is the largest amount under $5.
How do you do that problem i am having trouble
Answer:
The answer is A
Step-by-step explanation:
We can tell by finding out what each points coordinates are.
Its quite hard to describe how to do this on a phond yet you use the rule of
X coordinate first, then Y coordinate.
so (-5,5). -5 is the x coordinate
and 5 is the y coordinate.
Graphs can be quite difficult but for now, just remember x is across and y is up.
Good luck with future questions!
which ones out of the three are no solution?
1. 10 + 6x = 15 + 9x – 3x
2. 11 + 3x – 7 = 6x + 5 – 3x
3. 11 + 3x – 7 = 6x + 5 – 3x
Answer: I'm going to say 3
Step-by-step explanation:
Please help, nobody is helping I need to find surface area
Answer:
A) 147.6 sq m
Step-by-step explanation:
Separate the pyramided out into 4 triangles and add those
3 of them (sides) will be the same
[tex]A=h\frac{b}{2} \\A=10\frac{4}{2} \\A=20[/tex]
This is one half of the side, multiply by 2 to get the area of the entire side, 40 square m.
The area of all 3 sides together is 40*3 = 120 sq m
For your base, your height will be 6.9 and your base is 4
A = 13.8 sq m
multiply by 2 again for the entire base
A=27.6 sq m
Now add both
120 + 27.6
The value of the square root of 25+144 is 13. True or false
Answer:
true i tested it out myself.
Step-by-step explanation:
Find the value of X. If necessary write in radical form
Answer:
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\6^{2} +7^{2} =x^{2} \\\sqrt{85} = x[/tex]
Answer:
sqrt(85) =x
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 7^2 = x^2
36+49 = x^2
85 = x^2
Take the square root of each side
sqrt(85) = sqrt(x^2)
sqrt(85) =x
Can someone plz help me on this one
For the perimeter use the formula 2x3.14xr
step 1: divide the 20 by 2
step2:multiply 3.14 by the qoutient of the division
step3:divide again by 2
For the area the formula is 3.14 x r x r
the r is the qoutient on step one
step 1: multiply both Rs
step2: multiply the 3.14 by the product of step one.
and you are done i hope it helps you
how many lakhs are there in 2 millions?
Answer:
2,000,000 - 2 million
20,00,000 - 20 lakhs
Answer:
10 lakh = 1,000,000
So 20 lakh is = 2 million
Hope it helps!
What is the surface area? 17 ft 16 ft 17 ft 19 ft 15 ft
Answer:
1,317,840
17×17=289×16=4,624×19=87,856×15=1,317,840
Increase £140 by 5%.
Thank you so much
Answer:
£140 increased by 5% is £147.00
Answer:
it should be 147.00 , I'm so sorry if I'm wrong!
A sound wave is given by the
following equation:
y = 6 sin(324pi t)
where t = time in seconds
How many cycles will occur
between t= 3 and t = 5.5 seconds?
Answer:
405 cycles
Step-by-step explanation:
We have the equation:
y = 6*sin(324*π*t)
For the properties of the sin function, we know that the period is 2π.
So between:
Sin(x) and Sin(x + 2*pi)
we have a cycle.
between:
Sin(x) and Sin(x + 6*pi)
we have 3 cycles.
and so on.
Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds
Between these times, the difference in the argument of the sin function is:
324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5
Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5
That number is just the quotient between 324*π*2.5 and 2*π
N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405
There are 405 cycles between 3 seconds and 5.5 seconds.
Please help ASAP I need helppppoñ
The area of a rectangular window is 8526 cm?
If the length of the window is 98 cm, what is its width?
Answer:
87cm
Step-by-step explanation:
Length x width = area
98 x width = 8526
width=8526/98
width=87
The midpoint of AB is M(5,-2). If the coordinates of A are
(6,-5), what are the coordinates of B?
Answer:
The coordinates of point B are (4,1)
Step-by-step explanation:
The easiest way of solving and explaining this question would to go by steps from each point. From point A to the midpoint, we go 1 left on the x axis from 6->5 and 3 up on the y axis from -5->-2. You then repeat these steps again to go from the midpoint to B. (5-1,-2+3) = (4,1)
I'm so confused pls help
Answer:
Step-by-step explanation:
Slope = 3.200/2.000 = 1.600
x-intercept = 5/8 = 0.62500
y-intercept = 5/-5 = 1/-1 = -1.00000
5 cm
What is the surface area of the cube?
A. 25 cm?
B. 70 cm
C.125 cm?
D. 150 cm?
E. 200 cm
Answer:
Step-by-step explanation:
Answer:
D. 150 cm²
[tex]area = 5 \times 5 \\ = 25 \: {cm}^{2} [/tex]
= 25 × 6 sides
= 150 cm²
$(x^2-4x+2)^{x^2-5x+2} = 1.$
;PPP