Answers
Step-by-step explanation:
4/5x-3=3/10x+7
We move all terms to the left:
4/5x-3-(3/10x+7)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 10x+7)!=0
x∈R
We get rid of parentheses
4/5x-3/10x-7-3=0
We calculate fractions
40x/50x^2+(-15x)/50x^2-7-3=0
We add all the numbers together, and all the variables
40x/50x^2+(-15x)/50x^2-10=0
We multiply all the terms by the denominator
40x+(-15x)-10*50x^2=0
Wy multiply elements
-500x^2+40x+(-15x)=0
We get rid of parentheses
-500x^2+40x-15x=0
We add all the numbers together, and all the variables
-500x^2+25x=0
a = -500; b = 25; c = 0;
Δ = b2-4ac
Δ = 252-4·(-500)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=625−−−√=25
x1=−b−Δ√2a=−(25)−252∗−500=−50−1000=1/20
x2=−b+Δ√2a=−(25)+252∗−500=0−1000=0
Related Questions
Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.
Answers
Answer:
[tex]\frac{7}{3}[/tex]
Step-by-step explanation:
42/18=[tex]\frac{7}{3}[/tex]
Rendell took 2.34 hr to cycle 42 km.
Rendell cycles 42 km at an average speed of 18 km/hr.
Distance = 42 km
Speed = 18 km/hr
Speed is define as the distance covered per unit time,
Here,
Time = Distance / speed
= 42 / 18
= 2.34 hr
Thus, Rendell took 2.34 hr to cycle 42 km.
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ANSWER ASAP!
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
x+3y=0
Answers
3
Create a linear equation in the slope-intercept fo
form that contains points (2,-8) and (6,-4).
Answers
Answer:
y = x - 10
Step-by-step explanation:
slope - intercept form: y = mx + b
y2 - y1 -4 - ( -8 ) 4
--------- = ------------- = -------- = 1
x2 - x1 6 - 2 4
---------------------------------------------------------
y = mx + b
y = 1x + b
pick whichever point you want to use, for this I'll use (2, -8)
-8 = 1( 2) + b
-8 = 2 + b
-2 -2
-10 = b
y = 1x - 10 or y = x - 10
I hope this helps!
Is the quotient of -125 and five positive negative or zero
Answers
Answer:
negative
Step-by-step explanation:
we know this because a negative divided by a positive is a negative
Answer:
Step-by-step explanation:
= -125 ÷ 5
= -25
It's negative
Find the surface area of the composite figure 2 cm 2 cm 6 cm 6 cm 4cm 4 cm 5 cm 10 cm
Answers
Answer:
=268 cm²
Step-by-step explanation:
S=(4×10+4×5+5×10)×2×6×4=268cm²
The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid
What is the slope of the line that passes through the points (-8, -6) and (-8,4)?
Write your answer in simplest form.
Answers
[tex]\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}[/tex]
[tex]\\ \rm\rightarrowtail m=10/0[/tex]
Parallel to x axis[tex]\\ \rm\rightarrowtail m=\infty[/tex]
Bailey Checks her time records to see how fast she runs each day. On Tuesday, She Ran 3 3/4 Miles. On Friday, she ran 7 2/8 miles. How many more Miles did she run on Friday than Tuesday?
Answers
Step-by-step explanation:
I guess, she is checking how FAR she runs each day (and not how fast ...).
how many more miles did she run on Friday ?
we get this by calculating the difference between the 2 values. that is what subtraction is for.
7 2/8 - 3 3/4
as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.
7 2/8 - 3 3/4 = 4 2/8 - 3/4
now we convert both numbers to full fractions :
4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4
and then we bring both fractions to the same denominator, in this case 1/8 :
34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8
now we can simplify
28/8 = 7/2 = 3 1/2
so, she ran 3 1/2 miles more in Friday than on Tuesday.
FYI
I just wanted to show you the full formal flow of such a calculation.
but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :
7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2
I need assistance with rational expressions.
Answers
3y-4 over y(3y+5)
a) Write down the value of angle x.
b) Write down the value of angle y.
HELP PLS
Answers
Answer:
A) is 49 degrees and B) is 63
Step-by-step explanation:
they are kinda like mirrors
The lateral edge of a square prism is 30 cm long and it is inclined at an
angle of 70 degrees with the base. If the volume of the prism is 1,500 cm3,
1. what is the base edge?
2. What is the lateral area of the prism?
3. What is the total area of the square prism?
Answers
Answer:
1
[tex]B = 7.07 \ cm[/tex]
2
[tex]A =848.4 cm^2 [/tex]
3
[tex]A_T = 948.37 \ cm^2 [/tex]
Step-by-step explanation:
From the question we are told that
The lateral edge of a square prism is [tex]d = 30 \ cm = 0.3 \ m[/tex]
The angle of inclination is [tex]\theta = 70^o[/tex]
The volume of the prism is [tex]V = 1500\ cm^3[/tex]
Generally the base of the prism is mathematically represented as
[tex]B = \sqrt{\frac{V}{ d} }[/tex]
=> [tex]B = \sqrt{\frac{1500}{ 30} }[/tex]
=> [tex]B = 7.07 \ cm[/tex]
Generally the lateral area of the prism is mathematically represented as
[tex]A = 4 * B * d[/tex]
=> [tex]A = 4 * 7.07 * 30 [/tex]
=> [tex]A =848.4 cm^2 [/tex]
Generally the total area of the prism is mathematically represented as
[tex]A_T = 2 * B + A[/tex]
=> [tex]A_T = 2 * (7.07) + 848.4[/tex]
=> [tex]A_T = 948.37 \ cm^2 [/tex]
Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?
Answers
Answer:
42 hours
Step-by-step explanation:
First divide 144 by 16 to get the money per hour wich is 9 then divide 378 by nine and you get the awnser, 42 hours.
Thank you
42 hours Susan worked this week to $378.
Given that, Susan's salary varies directly as the number of hours worked.
We need to find out how many hours did she work this week.
What is the direct variation?Direct variation is a type of proportionality wherein one quantity directly varies with respect to a change in another quantity. This implies that if there is an increase in one quantity then the other quantity will experience a proportionate increase. Similarly, if one quantity decreases then the other quantity also decreases. Direct variation is a linear relationship hence, the graph will be a straight line.
According to the question, last week she earned $144 for working 16 hours. This week she earned $378.
Let the number of hours she works this week be x.
So, the proportion is 144:16::378:x
⇒144×x=16×378
⇒x=42
Hence, 42 hours Susan worked this week to $378.
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if sam can carve 1/6 block of wood and sam has 18 of wooden block how many would he have
Answers
Answer: 3 blocks
Step-by-step explanation:
18/6=3
Write an equation of the line that satisfies the given conditions.
Through (0,−4), perpendicular to the graph of x−3=−6. Answer in slope intercept form.
Answers
let's take a peek at the equation above
[tex]x-3=-6\implies x = -3\qquad \impliedby \textit{a vertical line}[/tex]
Check the picture below, there's no slope-intercept form per se for a horizontal line, unless you'd want to give it a slope of 0 and write it as y = 0x - 4.
HELPPP 50pts!!!
the next model of a sports car will cost 11.2% less than the current model. the current model costs $48,000. how much will the price decrease in dollars? what will be the price of the next model?
Decrease in price: $?
Price of model: $?
Answers
Answer:
final price $42,624
price decrease $5376
Step-by-step explanation:
multiply 11.2 percent by 48000 and then get the answer from that and subtract from total
Decrease:-
[tex]\\ \rm\Rrightarrow 0.112(48000)[/tex]
[tex]\\ \rm\Rrightarrow 5376\$[/tex]
New price:-
[tex]\\ \rm\Rrightarrow 48000-5376[/tex]
[tex]\\ \rm\Rrightarrow 42624\$[/tex]
Which are difference of two squares? Select two options.
a x2 − 9
b x2 −100
c x2 − 4x + 4
d x2 + 10x + 25
e x2 + 15x + 36
Answers
Answer:
the answer will have to be c and d
A married couple buys 280 shares of stock for a total investment of $8,722. They decide to sell all of their shares in the fund at the listing value shown below. Name of Fund Offer Price NAV $31.05 CEH Mid-Cap $31.20 Determine if the couple makes a profit or loss, and how much per share. a. loss of $0.05 per share b. loss of $0.10 per share c. profit of $0.05 per share d. profit of $0.10 per share
Answers
The couple will make a loss of $0.10 per share.
What is the loss per share?
In order to determine the loss per share, the average total investment would be subtracted from the NAV. If the NAV is greater than the average total investment, the couple make a profit, if this is not the case, the couple would make a loss.
Average total investment = $8722 / 280 = $31.15
Loss = $31.05 - $31.15 = $-0.10
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Answer:
loss of $0.10 per share
Step-by-step explanation:
EDGE 2020
Kara found two websites that she could use to download songs.
The first website charges a one-time membership fee of $5 and $0.99 per song.
The second website has a one-time membership fee of $10. In addition, the second website charges $0.89 per song.
Which equation could be used to determine how many downloaded songs, d, must be purchased for the cost at the two websites to be the same?
A. 5d + 0.99 = 10d + 0.89
A. , 5d + 0.99 = 10d + 0.89
B. 5+ 0.89d = 10 + 0.99d
B. , 5+ 0.89d = 10 + 0.99d
C. 5 + 0.99d = 10 + 0.89d
C. , 5 + 0.99d = 10 + 0.89d
D. 5d + 0.89 = 10d + 0.99
Answers
Answer:
c
Step-by-step explanation:
A bicyclist going 35 mph can make it from 1st Street to the Boston Eatery in 45 minutes. How long (in minutes and seconds) will it take a motorcyclist going 40 mph?
Answers
Answer:
39.375 minutes
formula's:
distance = speed * time taken
time taken = distance/speed
speed = distance/time taken
here given:
speed: 35 mphtime = 45 minutes = 0.75 hourssolve for distance:
distance = 35 * 0.75distance = 26.25 miles1st Street to the Boston Eatery distance is 26.25 miles, which is constant.
If speed changes to 40 mph.
time taken = distance/speedtime taken = 26.25/40time taken= 0.65625 hours = 39.375 minutesTwice the sum of a number and 9 is 30.
Slove equation
Answers
Answer:
6 and 9 twice is 30
Step-by-step explanation:
6 plus 9 is 15 twice is 30
Answer:
10.5
Step-by-step explanation:
30 - 9 = 21
21 ÷ 2 = 10.5
13. Find the area of the triangle given a = 14, b = 9, and C = 66 degrees. Round your answer to the nearest tenth.
14. Find the area of the triangle given a = 38, b = 31, and C = 29 degrees. Round your answer to the nearest tenth.
15. Find the area of the triangle given b = 17, c = 19, and A = 135 degrees. Round your answer to the nearest tenth.
Answers
Answer:
13) 57.6 units²
14) 285.6 units²
15) 114.2 units²
(All answers rounded off to the nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
Find the exponential function that contains the points (2,10) and (3,5)
Answers
Step-by-step explanation:
you mean to say 2 to the power of 10 and 3 to the power of 5
Allison spent a total of $16.20 for lunch including tax and a tip. She paid 8% sales tax on her purchase and then left a tip equivalent to 20% of her total bill including tax. What was the cost of Allison’s meal, before tax and tip?
Answers
Answer:good job!
Step-by-step explanation:
Step-by-step
5
the square root of 55
7
the square root of 32
Answers
Answer:
the square root of 55, or 7.42
Step-by-step explanation:
Use the Pythagorean Theorem, or a²+b²=c², where a and b are the sides or "legs" of the triangle and c is the hypotenuse.
a is 3, b is x, and c is 9
If you plug that into the equation, you get 3²+x²=8²
We can make this 9+x=64 by squaring the 3 and 8.
Then we can subtract 9 from each side to get x=55.
Finally, take the square root of 55 to get √55 or 7.42.
I hope this helped!
Your teacher asks the class to evaluate the expression (3³)¹. Your classmate gives an incorrect answer of 81. Evaluate the expression. Then find the likely error.
Answers
The most likely error is that, the student multiplied 27 by 3, after the first computation
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the error in the calculation?The expression is given as
(3^3)^1
As a general rule, we start by evaluating the expression in the inner bracket
So, we have
(3^3)^1 = (3 x 3 x 3)^1
Evaluate the products
So, we have
(3^3)^1 = (27)^1
Next, we evaluate the exponent
So, we have
(3^3)^1 = 27
The above implies that the value of the expression is 27 and not 81 as the student solved
The most likely error is that, the student multiplied 27 by 3, after the first computation
Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation
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GUYS ANSWER THIS PLSSS
The earth is approximately 8.0 times 10^3 miles in diameter, from pole to pole. What number is the distance equivalent to?
Answers
Answer:
8,000
Step-by-step explanation:
8 x 10 x 10 x 10
8 x 1,000
8,000
Hope that helps!
Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel
Answers
Answer:
-12
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).
Then, we need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. In this problem where can see the second equation is already in this form.
Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.
To do this, we know we need to make sure [tex]y[/tex] is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have [tex]-\frac{1}{2} y[/tex] so we have to divide both sides by [tex]-\frac{1}{2}[/tex] to get [tex]y=-12x -20[/tex]
Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or [tex]m[/tex] in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.
Use the order of operations to find the value of the following expression.
10^2 - 2 x (8) + 11
795
155
15
95
Answers
Work
100 - (2)(8) + 11
100 - 16 + 11
84 + 11
= 95
Answer:
95. So basically it's the last option. :,)
Step - Step Explanation:
10² - 2* 8 + 11
100 - 2*8 + 11
100 - 16 + 11
84 + 11
= 95.
A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate non directional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is μ₀ = 100, with a standard deviation of σ = 14. If he designates the mean for the population of anxious people who take the anti-anxiety drug as μ anti-anxiety drug anti-anxiety drug , he can identify the null and alternative hypotheses as:
Answers
Answer:
hello your question is incomplete attached below is the complete question
Answer : The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't
Step-by-step explanation:
average score for anxious people = 100
standard deviation = 14
mean of anxious people who take the anti-anxiety drug
null hypothesis ( H ) =
Alternate hypothesis ( H1 ) ≠
using the z- test ( hypothesis test ) the condition that is not required is the condition that
The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't
7. How many solutions are there to this equation?
7x - 3(x - 1) = 2(2x + 3)
A
no solution
B
exactly one solution
C
at least two solutions
D
infinitely many solutions
Answers
Answer: A) no solution
Step-by-step explanation:
1) 7x-3x+3=4x+6
2) 4x+3=4x+6
3) 3 is not equal to 6, so no solution
There is no solution of the given equation.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation is;
7x - 3 (x - 1) = 2(2x + 3)
Now, Solve the equation for x as;
7x - 3(x - 1) = 2(2x + 3)
7x - 3x + 3 = 4x + 6
4x + 3 = 4x + 6
Subtract 4x both side;
3 = 6
Clearly, 3 is not equal to 6.
So, There is no solution of the equation.
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What is the distance from m(-1,6) to n(11,1)
Answers
Soln:
Let m(-1,6) be (x1, y1) & n(11,1) be (x2, y2).
Now,
Use distance formula and calculate it