42.1069 rounded to the nearest thousandth is
Answers
ANSWER
42.107
EXPLANATION
To round a number to the nearest thousandth we have to look at the next number. If that number is 5 or greater than 5, then we have to add 1 to the thousandths. If it's less than 5, then we leave it like it is and eliminate the other decimals.
In this case, the next number to the thousandth is 9, which is greater than 5. Therefore, we have to turn the 6 into a 7: 42.107
Related Questions
For which inequality would x = 8 not be a solution?4x + 3 > 09x - 5 < 100x + 4 ≤ 1072 ÷ x ≥ 4
Answers
Given:
Given the inequalities:4
[tex]\begin{gathered} 4x+3>0 \\ 9x-5<100 \\ x+4\leq10 \\ 72\div x\ge4 \end{gathered}[/tex]Required: Identify the inequality in which x = 8 is a solution.
Explanation:
Substitute 8 for x in each inequality and check whether it satisfies the inequality.
Consider 4x + 3 > 0.
[tex]4\cdot8+3=35>0[/tex]So, x = 8 satisfies the inequality 4x + 3 > 0.
Consider 9x - 5 < 100.
[tex]9\cdot8-5=67<100[/tex]So, x = 8 satisfies the inequality 9x - 5 < 100.
Consider x + 4 ≤ 10.
[tex]8+4=12>10[/tex]So, x = 8 not satisfies the inequality.
Consider 72 ÷ x ≥ 4.
[tex]72\div8=9\ge4[/tex]So, x = 8 satisfies the inequality.
Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.
Calculate the maturity value of simple interest a seven months loan of $6,000 if the interest rate is 7.6%
Answers
ANSWER
[tex]6266[/tex]EXPLANATION
Given;
[tex]\begin{gathered} p=6000 \\ R=7.6\% \\ T=\frac{7}{12} \end{gathered}[/tex]Now using the formula for simple interest
[tex]I=\frac{PRT}{100}[/tex]substituting the values we have;
[tex]\begin{gathered} I=\frac{6000\times7.6\times7}{100\times12} \\ =266 \end{gathered}[/tex]Now the interest after 7 months would be
[tex]266[/tex]The maturity value is
[tex]\begin{gathered} P+I \\ =6000+266 \\ =6266 \end{gathered}[/tex]2 STEP PROBLEM: QUADRATIC EQUATION 18x^2 = 21x
Answers
Explanation
[tex]18x^2=-21x[/tex]Step 1
to get the form
[tex]ax^2+bx+c=0[/tex]a) add 21 x in both sides
[tex]\begin{gathered} 18x^2=-21x \\ 18x^2+21x=-21x+21x \\ 18x^2+21x=0 \\ so\text{ a=18, b=21, c=0} \end{gathered}[/tex]Step 2
now, factorize the left hand side of the equation
[tex]\begin{gathered} 18x^2+21x=0 \\ (x)(18x+21)=0 \\ so\text{, the factors are x and (18x+21)} \end{gathered}[/tex]now, to get zero from those factors
[tex]\begin{gathered} (x)(18x+21)=0 \\ x=\text{ 0} \\ or \\ 18x+21=0 \\ \text{subtract 21 in both sides} \\ 18x+21-21=0-21 \\ 18x=-21 \\ \text{divide both sides by 18} \\ \frac{18x}{18}=\frac{-21}{18} \\ x=-\frac{21}{18}=-\frac{7}{6} \\ x=-\frac{7}{6} \end{gathered}[/tex]so, the answer is
[tex]x=\text{ 0 and x=-7/6}[/tex]I hope this helps you
Which of the following sa rational number? [tex] \sqrt{5} [/tex][tex] - \frac {3}{4} [/tex]Pi[tex] - \sqrt{7} [/tex]
Answers
First of all, we need to remember what is a rational number.
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Now, from your options we can deduce that:
[tex]\frac{3}{4}[/tex]is the rational number.
Solve for x. 70° 37° 10x + 3x=
Answers
Let's suppose, the given equation is:
37 = 10x + 3
By solving it
37 - 3 = 10x
34 = 10x
34/10 = x
x = 17/5
Hence, the value of x is 17/5.
Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.Question options:A) x = 69B) x = 34.5C) x = 25.5D) x = 60
Answers
On an equilateral triangle, each angle has a measure of 60º. Then:
[tex]2x-9=60[/tex]Solve for x. To do so, add 9 to both sides of the equation:
[tex]\begin{gathered} \Rightarrow2x-9+9=60+9 \\ \Rightarrow2x=69 \end{gathered}[/tex]Divide both sides of the equation by 2:
[tex]\begin{gathered} \Rightarrow\frac{2x}{2}=\frac{69}{2} \\ \Rightarrow x=34.5 \end{gathered}[/tex]Therefore, the value of x is:
[tex]34.5[/tex]What is the value of the digit in the tens place?3,847O A. 3,000OB. 4C. 40D. 800
Answers
Expand the given number as,
[tex]3847=(3\times10^3)+(8\times10^2)+(4\times10^1)+(7\times10^0)[/tex]The tens place is the second from the right.
It is observed that the value of the digit at tens place is 4
So, option B is the correct choice.
Bethany is paid time-and-a-half for each hour she works above her normal 40 hours each week. Last week, Bethany worked 44 hours and her gross pay was $575. how much did Bethany earn for each hour of overtime she worked?
Answers
Bethany worked a total of 44 hours, which means that she worked 40 normal hours and 4 extra hours.
Let x be the amount earned per 1 normal working hour since she earns a half more for each extra hour we can express the money earned above her 40 normal hours as 1.5 times x ( x+0.5*x = 1.5x), then we can express the gross pay like this:
gross pay = earnings per normal hour * normal hours + earnings per extra hour * extra hours
gross pay = x * normal hours + 1.5x * extra hours
As mentioned, she worked 40 normal hours and 4 extra hours, then we get:
gross pay = x*40 + 1.5x*4
gross pay = 40x + 1.5*4x
gross pay = 40x + 6x
gross pay = 46x
From the given information, we know that the gross pay equals $575, then we get:
575 = 46x
46x/46 = 575/46
x = 575/46
x=12.5
The amount earned with extra hours is 1.5x, then we get:
Extra hour earning = 1.5*12.5=18.75
Then, Bethany earned $18.75 for each extra hour
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y= -3x-6
Step-by-step explanation:
I believe this is correct
Darnell went to the movie theater with his friends. The movie theater started at 2:35 pm and lasted 1 hour 45 minutes. What time did the movie end?
Answers
If the movie started at 2:35 and lasted 1 hour
Answer: 4:20 pm
Step-by-step explanation:
We know that the movie started at 2:35 and lasted 1 hour and 45 minutes. We can split the time that it lasted into the hour and the 45 minutes to make things easier, since 1 hour after 2:35 is simply 3:35.
From here, we can add the extra 45 minutes. We can do this by first finding out how many minutes were left in that hour. There are 60 minutes in 1 hour, and 60 - 35 = 25 minutes
45 - 25 = 20
after adding the 25 minutes to complete the hour (4:00), we have 20 minutes left
4:00 + 0:20 = 4:20
Part A: Clancey and Ethan are starting new books. So far, Clancey has read 1/4 of his book, which has 240 total pages and Ethan has read 2/5 of his book, which has 170 total pages. Who has read more pages so far, Clancey or Ethan?Of the combined total number of pages in both books, what fraction have clancey and ethan read combined?
Answers
In order to find who has read more pages, let's find the number of pages read by each one.
The number of pages read by Clancey is:
[tex]\frac{1}{4}\cdot240=\frac{240}{4}=60[/tex]The number of pages read by Ethan is:
[tex]\frac{2}{5}\cdot170=\frac{340}{5}=68[/tex]So Ethan read more pages.
The combined number of pages in both books is 240 + 170 = 410.
The combined number of pages read is 60 + 68 = 128
So the fraction is:
[tex]\frac{128}{410}=\frac{64}{205}[/tex]A rectangle, with a length of (3x+7) and a width of (4x+8), has a square with a side length of (2x+5) cut out of it. Find the simplified solution form expression to represent the remaining area.
I’ll give points + brainalist
Answers
Answer: 8x^2+72x+81
Step-by-step explanation:
Hi! I'm not sure if my answer is correct, but please check! Hope it helps.
First the rectangles area is l x w = (3x+7)(4x+8) = 12x^2+52x+56
Because there is a square cut out, we need to find the area of the square and subtract that from the area of the rectangle.
Square Area: (2x+5)(2x+5)= 4x^2+20x+25
Subtract the two areas: 12x^2+52x+56 - 4x^2+20x+25
Which would simplify to 8x^2+72x+81
x² + x+49
14
7
712
+ 49
Answers
Answer:
x 2^x=49. 2x=49 2 x = 49.
Step-by-step explanation:
Step 1. Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Which of these systems of equations could be used to choose a ticket plan ?
Answers
Answer:
A. y = 0.50x + 12
y = 1.25x
Explanation:
The equation that model the total cost of plan A is:
y = 12 + 0.50x
Because there is a cost of $12 that is independent of the number of rides x and there is a cost of $0.5 for each ride.
In the same way, the equation that model the total cost of plan B is:
y = 1.25x
Because there is only a cost of $1.25 for each ride.
Therefore, the system of equations that could be used to choose a ticket plan is:
A. y = 0.50x + 12
y = 1.25x
(03.01 LC)
Simplify (√5)(35)
Answers
Get gooder
Answer:5/35=1/7
Step-by-step explanation:
Bellingham, Washington, has an area of 25.4 mi2 and a population of 74,547 during one year. Bakersfield, California, has an area of 113.1 mi? and a population of 295,536 during the same year. Which city has a greater number of people per square mile?
Answers
Bellingham
[tex]\frac{74547}{25.4}=2934.9[/tex]2934.9 people per square mile
California
[tex]\frac{295536}{113.1}=2613.1[/tex]2613.1 people per square mile
answer: Bellingham has a greater number of people per square mile
The graph below shows the number of notepads that each location of a business used last year. The number of departments per location are presented in the table below. Four of the locations used the same number of notepads per department, but the Northwest and Central offices used fewer notepads per department. The graph shows that the Northwest location used the same number of notepads as the Southeast location overall. If the Northwest location used fewer notepads per department, which of the following could be the number of departments for the Northwest location?
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So we plot the values over the bars
Now we identify that each line is separated by 2
Answer: Then we get central as 8 and northwest as 6
What is the result of performing these steps?1. Draw a line segment with endpoints A and B.2. Draw point Canywhere on AB.3. Fold the paper through C So As lies on top of itself.4. Draw a line segment from C to any point along the fold.O A. A line segment parallel to ABB. A line segment perpendicular to ABC. A bisected angleD. The perpendicular bisector of AB
Answers
As AB lies on top of itself after folding the paper, the fold would be perpendicular to AB. Drawing a line from C to any point of the fold would result in a line segment perpendicular to AB.
Answer:
B. A line segment perpendicular to AB
3x² + 11x > 4
How to slove this and the answer for it with it I really do need help with this
Answers
Using the factorization, the solution of given inequality is x>1/3 and x< -4.
In the given question we have to solve the given inequality.
The given inequality is 3x^2+11x>4.
Solving the given inequality
Subtract 4 on both side we get
3x^2+11x-4>0
Now factoring the binomial equation.
The multiplication of first and third term is 12 and middle term is 11.
So the possible factors are 1 and 12
3x^2+(12-1)x-4>0
3x^2+12x-x-4>0
3x(x+4)-1(x+4)>0
(3x-1)(x+4)>0
Equating equal to zero
3x-1>0 or x+4>0
Solving for x
x>1/3 or x< -4
Hence, the solution of given inequality is x>1/3 and x< -4.
To learn more about inequality link is here
brainly.com/question/20383699
#SPJ1
please explain steps to get correct answer in pic below
Answers
Let's use the properties of the sum:
[tex]\begin{gathered} \sum ^{11}_{i\mathop=1}(3i^2+17)=\sum ^{11}_{i\mathop{=}1}3i^2+\sum ^{11}_{i\mathop{=}1}17 \\ =3\sum ^{11}_{i\mathop{=}1}i^2+17\cdot11 \end{gathered}[/tex]Therefore the answer is the last option.
To simplify this we use the properties listed below:
[tex]\sum ^n_{i\mathop{=}1}na_i=n\sum ^n_{i\mathop{=}1}a_i[/tex][tex]\sum ^n_{i\mathop{=}1}(a_i+b_i)=\sum ^n_{i\mathop{=}1}a_i+\sum ^n_{i\mathop{=}1}b_i[/tex][tex]\sum ^n_{i\mathop{=}1}c=cn[/tex]26 is what % of 65.
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Suppose that 65 is the 100%, then we can find the percentage that is 26 from 65 using a rule of three:
[tex]\begin{gathered} 65\rightarrow100\% \\ 26\rightarrow x\% \\ \Rightarrow x=\frac{26\cdot100}{65}=\frac{2600}{65}=40 \\ x=40\% \end{gathered}[/tex]therefore, 26 is 40% of 65
PLS HELP MATH WILL MARK BRAINLIEST
Answers
3x+y=11
2x+3y=12
y=-3x+11
2x+3(-3x+11)=12
2x+-9x+33=12
-7x+33=12
-7x=-21
x=3
y=-3(3)+11
y=-9+11
y=2
Answer is B. (3,2)
( 14 + 2 ) 2 0 = 5 + 4 0 what type of property is this?
Answers
The question provides the relationship as shown below:
[tex](\frac{1}{4}+2)20=5+40[/tex]If we solve both sides individually, we have the left-hand side to give
[tex](\frac{1}{4}+2)20=45[/tex]and the right-hand side to give
[tex]5+40=45[/tex]Since both sides give the same result, we can attempt to manipulate the left-hand side of the equation with a common property we are familiar with: The Distributive Property.
The Distributive Property is written out as shown below:
[tex]a(b+c)=(a\cdot b)+(a\cdot c)[/tex]Applying this rule to the left-hand side, we get:
[tex]\begin{gathered} (\frac{1}{4}+2)20=\frac{1}{4}\cdot20+2\cdot20 \\ =5+40 \end{gathered}[/tex]This is the same expression present on the right-hand side of the equation.
Therefore, the property illustrated is the DISTRIBUTIVE PROPERTY.
a boat can travel 57 miles upstream against the current in the same amount of time it can travel 84 miles down stream with the current. if the boat's average speed in still water is 20 miles per hour. find the speed of the current
Answers
a boat can travel 57 miles upstream against the current in the same amount of time it can travel 84 miles down stream with the current. if the boat's average speed in still water is 20 miles per hour. find the speed of the current
Let
x -----> the speed of the current
we have that
speed *time=distance
upstream
(20-x)t=57 --------> equation A
down stream
(20+x)t=84 -----> equation B
solve the system of equations
Adds the equation A and B
20t-xt=57
20t+xt=84
------------------
40t=141
t=3.525 hours
Find the value of x
(20+x)t=84
substitute the value of t
20+x=84/3.525
x=84/3.525 - 20
x=3.83 mph
therefore
the answer is
3.83 mphan inequality is shown[tex] \frac{x}{8} \ \textless \ x \ \textless \ \sqrt{0.25} [/tex]choose all the options that worka. [tex] \sqrt{0.25} [/tex]b.[tex] \frac{ x}{4} [/tex]c.[tex]46 \: pecent[/tex]d.[tex] \frac{2}{5} [/tex]
Answers
Looking at the given inequality,
pi/8 = 0.392
pi/4 = 0.7
46% = 46/100 = 0.46
2/5 = 0.4
square root of 0.25 is 0.5
Therefore, the values of x that would the inequality are 0.46 and 0..4
Therefore, the correct options are C and D
the graph below shows a rotation ground things that the shape of rotation quadrant one caller ID by the way which
Answers
PLEASE HELP ME I NEED YOU TO SOLVE FOR C
Solve the equation 8 −710c = 6−15c for c.
Answers
Answer: C =0.006
Step-by-step explanation:
Simplify the following expressions, SHOW UR SOLUTIONS PLS
Answers
Answer:
Q1. 3² × 3² × x² = 9 × 9 × x²
= 81x²
Q2. (2x)² × (3x)² = 4x² × 9x²
= 36x⁴
Q3. [tex](-\frac{5}{6} )^{3}[/tex] [tex]=-\frac{125}{216}[/tex]
Q4. [tex](\frac{3a^{5} }{4b^{4}}) ^{3}=\frac{27a^{15} }{64b^{12} }[/tex]
Q5. [tex](\frac{8a^{2} b^{4}c^{23} }{26a^{13}b^{5}c^{2} }) ^{3} = (\frac{4c^{21} }{13a^{11}b } )^{3}[/tex]
[tex]=\frac{64c^{63} }{2197a^{33}b^{3} }[/tex]
Q6. [tex]-4^{-1}= (-\frac{4}{1} )^{-1}[/tex]
[tex]=(-\frac{1}{4} )^{1}[/tex]
[tex]=-\frac{1}{4}[/tex]
Q7. [tex](2r)^{-2}=(\frac{2r}{1} )^{-2}[/tex]
[tex]=(\frac{1}{2r} )^{2}[/tex]
[tex]=[/tex] [tex]\frac{1}{2r}[/tex] × [tex]\frac{1}{2r}[/tex]
[tex]=[/tex] [tex]\frac{1}{4r^{2} }[/tex]
Q8. [tex](\frac{xy}{ab^{3} } )^{-1} = (\frac{ab^{3} }{xy} )^{1}[/tex]
[tex]=\frac{ab^{3} }{xy}[/tex]
Q9. [tex]9x^{0} = 9(1)[/tex]
[tex]=9[/tex]
Q10. [tex](-4r^{5}s^{6} t^{-7} )^{0} = 1[/tex]
what is 2x exponent 3 - 4x exponent 2 -3x divide 2x
Answers
Equation
[tex]\frac{2x^3-4x^2-3x}{2x}[/tex]
To operate this fraction we will separate the numerator and divide each term with the denominator.
[tex]\begin{gathered} \frac{2x^3}{2x}-\frac{4x^2}{2x}-\frac{3x}{2x} \\ x^2-2x-\frac{3}{2} \end{gathered}[/tex]The answer would be
[tex]x^2-2x-\frac{3}{2}[/tex]School administrators asked a group of students and teachers which of twoschool logo ideas, logo A or logo B, they prefer. This table shows the results.Which statement is true?StudentsTeachersTotalLogo A671178Logo B331447Total10025125
Answers
From the information in the table,
67 students prefer logo A while 33 students prefer logo B
11 teachers prefer logo A while 14 teachers prefer logo B
Thus, the correct statement is
Logo B is more popular with teachers but logo A is more popular with students