Answer:
200 - 6 - (-3) = 197 200 - (-2) = 202
Write 5^3 x √5 as a single power of 5
The expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
To write the given expression 5^3 x √5, as a single power of 5,
First, we will write the expression properly.
[tex]5^{3} \times \sqrt{5}[/tex]
Now, to write the above expression as a single power of 5,
First, express [tex]\sqrt{5}[/tex] in index form
By law of indices [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex]
∴ [tex]\sqrt{5} = 5^{\frac{1}{2} }[/tex]
Now, the expression becomes
[tex]5^{3} \times 5^{\frac{1}{2} }[/tex]
Also, by law of indices, [tex]x^{y} \times x^{z} = x^{y+z}[/tex]
∴ [tex]5^{3} \times 5^{\frac{1}{2} } = 5^{3+\frac{1}{2} }[/tex]
[tex]= 5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
Hence, the expression [tex]5^{3} \times \sqrt{5}[/tex] written as a single power of 5 is [tex]5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }[/tex]
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I need help ASAP
Mateo earns a yearly salary of 40,000. Rico earns a yearly salary of 51,000. Mateo will receive a salary increase of 3,500 per year, and Rico will receive a salary increase of 2,800 per year
Which equation can be used to find n, the number of years it will take Mateo to earn the same salary as Rico?
A: 40,000+3,500n=51,000+ 2,800
B: 40,000+3,500n=51,000n+ 2,800n
C: 40,000n+3,500=51,000n+ 2,800
D: 40,000+3,500n=51,000n+ 2,800
Kevin ran 5 miles in 42 minutes. How many miles per hour did Kevin run? Round to the nearest tenth.
he ran a mile in 8.4 minutes. Step-by-step explanation:
Find the original price of a pair of shoes if the sale price is $168 after a 20% discount.
A. $210
B. $840
C. $93.20
D. $336
Answer:
A. 210
Step-by-step explanation:
Find each angle measure in the triangle.
3x°
2xº
4xº
The total measure of angles in a triangle is 180°.
3x° + 2x° + 4x° = 180°
9x° = 180°
x° = 180° ÷ 9
x° = 20
Our 3 angles are:
3(20) = 60°
2(20) = 40°
4(20) = 80°
Done.
Answer:
Step-by-step explanation:
3x+2x+4x=180
9x=180
x=180/9=20
3x=3×20=60°
2x=2×20=40°
4x=4×20=80°
if the fourth term of an ap is 1 and sum of it first right term is 18 find the tenth term
The average woman's height is 65 inches with a standard deviation of 3.5 inches.
a.) Determine the z-score of a woman who is 70 inches tall. Round to the nearest tenth.
b.) Use a z-score table to determine how many women out of 10,000 would be taller than the 70 inch tall woman.
Answer:
Part a:
p(z=1.43) find 1.43 in z table that'll be the answer for part a
What is the solution to this equation?
3x - 6 = 6
O A. x = 3
O B. x = 11
O C. x = 2
O D. x = 4
please someone help
Answer:
x = 4 or D
Step-by-step explanation:
3x - 6 = 6
Solve for x
3x = 12
x = 4
What type of number is 18.62
Answer:
terminating decimal
Step-by-step explanation:
doesn't repeat
Determine whether each sum or product is even or odd.
10,481 + 4,569
Answer:
even
Step-by-step explanation:
11050 it's even because it ends in a zero
-3=?-11 Find the missing value.
Answer:
?=8
Step-by-step explanation:
I substituted the ? for x
-3=x-11
first we want to isolate the x to do that, you have to find a way to move -11 to the other side. Well, x+0=x right? So all we have to do is find a way to go from -11 to 0! In this case you add 11 to both sides. This is very important so don't forget.
-3=x-11
+11 +11
-3+11=8
x=8
If you check your work, this should also go back in perfectly.
-3=8-11
or
-3=-11+8
I hope this helps!
Have a good day!
How many sixteenths are there in 5/8
Answer:
10!
Step-by-step explanation:
Exuse me if im wrong :')
Point slope form.
Y-4=
Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)
9514 1404 393
Answer:
x = 8/7
Step-by-step explanation:
.2(.7x-5)+0.2=1.4(x-1.6) . . . . given
Eliminating parentheses, we have ...
0.14x -1 +0.2 = 1.4x -2.24
1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides
x = 1.44/1.26 . . . . . . divide by the coefficient of x
x = 8/7 . . . . . . . . . . .simplify the fraction
__
As a repeating decimal, the value of x is ...
[tex]x=1.\overline{142857}[/tex]
However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)
_____
Additional comment
The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.
Answer:
the answer is x=8/7
Step-by-step explanation:
:)))
You go to a Chicago Bears game. You spend a total of $72 buying brats "b" and hotdogs "h" for your group. You paid $6 per brat and $4 per hotdog. You bought a total of 14 brats and hotdogs. How many of each did you buy?
If I have 23 dirty walnuts and divide the by 2 how many dirty walnuts would I have by chance? OMG PLEASE HELP QUESTION ALREADY LATE!!!
Answer:
23/2 equals 11.5
Step-by-step explanation:
Answer:
23 divided by two is 11.5
Step-by-step explanation:
Scientists are preparing two satellites to be launched. The equation y=8200xy=8200x represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours.
How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?
Answer:
Space Explorer B travels 6800 miles more than Space Explorer A in one hour.
Step-by-step explanation:
Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Space Explorer A flies 28800 miles in 24 hours.
24 hours = 28800 miles
1 hour = 28800/24 miles
1 hour = 1200 miles
Hence, Space Explorer A travels 1200 miles in 1 hour.
Now, the equation representing the distance, y, traveled by Space Exploral B in x hours is:
y = 8200x
Substitute x = 1:
y = 8200
Therefore, Space Exploral B travels 8200 miles in 1 hour.
The difference between the distance traveled by Space Exploral B and Space Exploral A is:
8200 - 1200
= 7000
Hence, Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
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What is the value of x in the diagram below? 2 right triangles are stacked. The bottom triangle has a side length of 9 units and an adjacent angle measure of 30 degrees. The top triangle has a hypotenuse length of x and an angle measure of 45 degrees. StartFraction 18 Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 2 EndRoot Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 3 EndRoot Over StartRoot 2 EndRoot EndFraction 18 StartRoot 2 EndRoot Mark this and return
Answer:
18 sqrt2/ sqrt3
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Trust me edge 2022
Saturday morning Brett made one batch of orange juice with 1 cup of concentrate and 4 cups of water. What percent of the batch was water? Show your work or explain your reasoning to justify your answer.
Answer:
80% of the batch is water.
Step-by-step explanation:
If 1/5 of the batch is concentrate, that leaves 4/5 of the batch being water. 4/5 simplifies out to .8, which is 80%.
Breanna thought of a number, added 6 to it, multiplied it by 6, subtracted 6 from her answer, and then divided it by 6. She got a final number of 10. What was her starting number?
Answer:5
Step-by-step explanation:
If you look at the question in reverse you can backtrack your way through. Take 10 and instead of dividing, multiply it by 10, which is 60, add 6 instead of subtracting, which is 66, divide by 6 instead of multiplying, which is 11 and finally subtract 6 instead of adding, which is 5. Use five and try the question over to make sure you calculated correct.
A family's monthly utility costs are: phone $200, electric $100, cable TV $100, water/gas $50, internet $50. By eliminating cable, by what percent does the family reduce total utility cost?
Answer: The total will drop by 20%
Can someone do 463 ÷ 60 by the standard algorithm
Answer:
7 remainder 42
Step-by-step explanation:
P.S Can I have brainliest?
Find the value of X for which log X, log (X+2) and log (X+16) are three consecutive terms of an arithmetic series.
Answer:
x=-2
Step-by-step explanation:
log x, log (x+2) , log (x+16) are in A.P.
2log (x+2)=log (x+2) +log (x+16)
log (x+2)²=log [(x+2)(x+16)]
(x+2)²=(x+2)(x+16)
x²+4x+4=x²+2x+16x+32
4x-18x=32-4
-14x=28
x=28/(-14)=-2
Simplify the expression: 7(9x + 6y)
Answer:
63x + 42y
Step-by-step explanation:
P.S Can I have brainliest?
Which of the following correctly shows the distributive property?
A
4(x + 5) = 5(x + 4)
B
4(x + 5) = (4)(x) + 5
C
4(x + 5) = x + (4)(5)
D
4(x + 5) = (4)(x) + (4)(5)
78 * 5 i need the answer now pls.
help meeeeeeeeeeeeeee
Answer:
A
Step-by-step explanation:
If each lawn he mows earns him $25, at one lawn mowed he would have $25. At two lawns mowed he would have $50. At three lawns mowed he would have $75. We graph these points to get the graph of answer A.
The other answer choice is 30
Answer:
21 pencils
Step-by-step explanation:
b 21 pencils
Using a calculator, find the decimal equivalent for the fraction 416888.
Answer:
0.46846846846
Step-by-step explanation:
if fraction was 416/888 thats the answer....
Please I need help with this
Answer:
J
Step-by-step explanation:
x = the number of guests
y = the charges per guest
400 = the rental fee for the banquet
HOPE THIS HELPS <333333
-Silver