Answer:
let the grade points be a,b,c
a+b+c=258
b=c+10( since she noticed that on tests two and three,she scored 10 points fewer).
Answer:
See belowStep-by-step explanation:
Let the first test score is x, then the next two are x - 10 and x - 20 and the total of three is 258.
We can reflect this as:
x + x - 10 + x - 20 = 258Solving we get:
3x - 30 = 2583x = 258 + 303x = 288x = 288/3x = 96The scores are: 96, 86 and 76
You are an electrician working in an industrial plant. A circuit contains eight incandescent lamps connected in series across 480 volts. One lamp has burned out, and you must determine which one is defective. You have available a voltmeter, ammeter, and ohmmeter. Which meter would you use to determine which lamp is defective in the shortest possible time? Explain how you would use this meter and why.
The burnt out bulb is located between two points in the circuit that have a
discontinuity.
The meter that can determine the defective lamp in the shortest possible time is the ohmmeterThe ohmmeter can be used iteratively to determine the defective bulb because the ohmmeter checks for continuity between two points and the process is repeated to locate the burned out bulb.Reasons:
The process and steps to determine the lamp that has burned out;
The given arrangement of the bubs = Series arrangement
Therefore;
A burn out of a bulb, causes a discontinuity by opening the circuit and to current flow.
The meter to use is that determine the defective lamp is one that checks for discontinuity, or an open circuit, which is the presence of infinite resistance, which requires a resistance meter;
Therefore, the ohmmeter (resistance meter) is the best meter to use
To determine the defective bulb;
Step 1: Switching off the power source or switch of the bulbsStep 2: Place the leads of the ohmmeter from one end of the circuit to after the middle bulb in the series, which is between the 4th and the 5th bulb Step 3: Check for continuity on the ohmmeterStep 4: If there is continuity, repeat the test on the other half of the circuit.Step 5: If there is discontinuity, repeat the test across each pair of adjacent bulbs within the first half, to find the burnt out bulb.Replace the bulb across which there is a discontinuity and switch on the power source to test the the circuit.Learn more here;
https://brainly.com/question/14483320
I need help with question 20
Answer:
20 feet
Step-by-step explanation
Here's what you know.
Perimeter-60 feet
width is 10 feet less than the length.
If the length is 20, the width has to be 10. 20+10+10+20 equals 60. Hope this helps-Brainliest plz
Could someplease explain the whole problem? For the first part my the answer I got was x= .618, -.618, and [tex]\frac{\sqrt[1+-]{5} }{2}[/tex]
9514 1404 393
Answer:
a) x = (√5 -1)/2 ≈ 0.618034
b) 1/x = (√5 +1)/2 ≈ 1.618034
Step-by-step explanation:
Given:
x/(1 -x) = 1/x
Find:
Exactly, and as a decimal approximation, ...
a) x, using the quadratic formula
b) 1/x
Solution:
a) We can multiply the given equation by x(1 -x) to obtain ...
x² = 1 -x
x² +x -1 = 0 . . . . . . add x-1
The coefficients for use in the quadratic formula are a=1, b=1, c=-1. The solution using the quadratic formula is ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-1)}}{2\cdot1}=\dfrac{-1\pm\sqrt{5}}{2}[/tex]
We are only interested in the positive solution, which is ...
[tex]\boxed{x=\dfrac{\sqrt{5}-1}{2}\approx0.618034}[/tex]
__
b) The quadratic we developed in the first part can be rearranged like this:
x² +x = 1 . . . . . . add 1 to both sides
x(x +1) = 1 . . . . . factor out x
x +1 = 1/x . . . . . .divide by x
Then to find the value of 1/x, we simply need to add 1 to the value of x we have:
[tex]\dfrac{1}{x}=\dfrac{\sqrt{5}-1}{2}+1=\dfrac{\sqrt{5}-1}{2}+\dfrac{2}{2}=\dfrac{\sqrt{5}-1+2}{2}\\\\\boxed{\dfrac{1}{x}=\dfrac{\sqrt{5}+1}{2}\approx1.618034}[/tex]
Find the amplitude of y = -2 sin x. (2 points)
Group of answer choices
-2π
2π
2
pi/2
Answer:
amplitude= 2
Step-by-step explanation:
The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x). The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.
Which figure does not have two pairs of parallel sides? (check picture for question and options)
Answer:
B. Trapezoid
Step-by-step explanation:
1. Pretending Segmant C is a line
2. Pretending Segmant D is a line.
3. Line C and Line D will eventually intersect; see attachment.
Complete the table of values
Answer:
x = 0 —> y = 0 —> ( 0 , 0 )
x = 1 —> y = – 2 —> ( 1 , – 2 )
x = 5 —> y = – 10 —> ( 5 , – 10 )
x = -3 —> y = 6 —> ( -3 , 6 )
Step-by-step explanation:
x = 0 —> y = -2x = -2(0)=0
x = 1 —> y= -2x = -2(1) = -2
x = 5 —> y = -2x = -2(5) = -10
x = -3 —> y = -2x = -2(-3) = 6
I hope I helped you^_^
Evaluate the expression when c=12 and d=112.
3(14+c2)+2d
Enter your answer as a mixed number in simplest form in the box.
Answer:
698 or 338
Step-by-step explanation:
3*(14+[tex]c^{2}[/tex]) +2d
3*(14+[tex]12^{2}[/tex])+2*112 = 42+3*[tex]12^{2}[/tex]+224
42+3*144+224 = 42+432+224 = 698
3*(14+12*2)+2*112
3(14+24)+2*112 = 3*38+224 = 114+224 = 338
Answer:Substitute the value of the variable into the expression and simplify.
698
Step-by-step explanation:
the table shows ordered pairs of the function y=8-2x. what is the value of y when x=8
Answer:
y=8-2×8(the value of x)
y=8-16
y=-8
Answer:
-8
Step-by-step explanation:
Substitute:
y = 8 - 2(8)
multiply:
y = 8 - 16
subtract:
y = -8
The person above me should get credit, they answered first
Your Welcome!
I really need help if you’re not 100 percent sure about the answer don’t comment a random answer
Answer:
5 1/7
Step-by-step explanation:
pls mark brainliest :))
solve each problem using picturesand using a number sentence involing division
Answer:
Sorry, but I'm not seeing the question to solve.
Did you mean to attach any pictures?
write the factors of 20 that are not also factors of 12
5 & 10 and 20 are factors of 20 that are also not factors of 12
Hope this helped you- have a good day bro cya)
The factors of 20 that are not also factors of 12 are 5 and 10.
What is a factor?
A factor exists as a number that divides the assigned number without any remainder. The factors of a digit can either be positive or negative. The factors of any number exist as finite.
To estimate the factors of 20 and 12
To estimate the factors of 20
Find the prime factors of 20 are 2, 2, and 5.
Multiply the prime factors of 20 are 4, 10.
Adding prime factors 2, 5
Add 1 and the number 20 itself 1, 20.
The factors of 20 are 1, 2, 4, 5, 10, and 20.
To estimate the factors of 12
Find the prime factors of 20 are 2, 2, and 3.
Multiply the prime factors of 12 are 4, 6.
Adding prime factors 2, 3
Add 1 and the number 20 itself 1, 12.
The factors 12 are 1, 2, 3, 4, 6, and 12.
Therefore, 5 and 10 factors of 20 that are not also factors of 12.
To learn more about prime factors refer to:
https://brainly.com/question/340559
#SPJ2
Which of the following is the probability that a blue marble will NOT be selected from a bag containing 9 red marbles, 6 blue marbles, 7 green marbles, and 11 yellow marbles if one is selected randomly?
Answer:
The chance of 18.18 percent.
Step-by-step explanation:
9 red marbles
6 blue marbles
7 green marbles
11 yellow marbles
9+6+7+11=33
33 total marbles.
The chance of getting red marbles of the 33 is 27.27
The chance of getting blue marbles of the 33 is 18.18
The chance of getting green marbles of the 33 is 21.21
The chance of getting yellow marbles of the 33 is 33.33
Find the value of 2xy+3yz −xyz, when x=2, y=−2and z =4
Answer:
-8-24+16
-16
Step-by-step explanation:
Hope it helps you
300 x 10 explain step by step like that I did this now please
3000
Step-by-step explanation:
when you multiply by a ten (10, 100, 1000, etc.), just add a zero for each zero. it's the same when you divide: for every zero in the ten, you remove a zero.
Answer:
3000
Step-by-step explanation:
All you have to do is add one zero which is very simple so add a zero and you get your answer
jeff makes the generalization that a 10s fact can be broken into two 5s facts. write an equation to test his generalization
Expressions can be simplified by breaking it down into several sub expressions.
The equivalent expressions are: [tex]\mathbf{10s= 2 \times 5s }[/tex] or [tex]\mathbf{10s= 5s \times 2}[/tex] or [tex]\mathbf{10s= 5s + 5s}[/tex]
The original expression is:
[tex]\mathbf{Expression = 10s}[/tex]
Express 10s as 5s + 5s
[tex]\mathbf{10s= 5s + 5s}[/tex]
Apply distributive property
[tex]\mathbf{10s= 5s(1 + 1)}[/tex]
Add 1 + 1
[tex]\mathbf{10s= 5s \times 2}[/tex]
Rewrite as:
[tex]\mathbf{10s= 2 \times 5s }[/tex]
Hence, the equivalent expressions are: [tex]\mathbf{10s= 2 \times 5s }[/tex] or [tex]\mathbf{10s= 5s \times 2}[/tex] or [tex]\mathbf{10s= 5s + 5s}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/24242989
Can someone please explain this if you can please tell how to do a future problem like this on
Point S is between points R and T. If RS = 16, ST = 2x, and RT = 5x + 10, what is the length of RT? Hint: draw a diagram with point S between points R and T. Then label it.
20
40
211.67
2
Answer:
Down below
Step-by-step explanation:
I hope this can help
I provided a url
https://www.lcps.org/cms/lib4/VA01000195/Centricity/Domain/3768/Unit%202%20Day%202%20Notes.pdf
A runner is 7/8 from the finish line.
Answer:
7th / 7th place
Step-by-step explanation:
7 out of eight/ 7/8 would be 7th place because 1 2 3 4 5 6 7 8.
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.
I = 600(7)(2)
What error did Juanita make and how will her error affect the interest she calculates? Explain.
Answer:
See belowStep-by-step explanation:
Correct way of using the formula:
I = 600*(7/100)(2) = 84The error was using 7 instead of 7/100 or 0.07 as percent value. She would get $8400 instead of $84.
Given :-
Juanita borrowed $600 .Rate of Interest = 7% .Time = 2yrs .To find :-
Error made by her.Answer :-
As we know that the formula for Simple interest is ,
SI = P*R*T / 100Substitute ,
I $600* 7 * 2 / 100 I = $ 84 .So here she did not write 7 % as 7/100 instead she wrote 7 .
please solve the following equations?
Answer:
I only solved the first equation
a) x = 30
Step-by-step explanation:
a) [tex]log_4(2log_3(1+log_2(1+3log(x/3)))) = 1/2\\4^{1/2} = 2log_3(1+log_2(1+3log(x/3)))\\(2^{2})^{1/2} = 2log_3(1+log_2(1+3log(x/3)))\\\\2 = 2log_3(1+log_2(1+3log(x/3)))\\\\\\1 = log_3(1+log_2(1+3log(x/3)))\\\\\\\\3^1 = 1+log_2(1+3log(x/3))\\3 -1 = log_2(1+3log(x/3))\\\\2 = log_2(1+3log(x/3))\\\\\\2^2 = 1+3log(x/3)\\4 -1 = 3log(x/3)\\\\3 = 3log(x/3)\\\\\\1 = log(x/3)\\10^1 = x/3\\x = 30[/tex]
e. If a basketball player made 72 out of 85 free throw attempts, how many could she expect to make and 200 attempts
Answer:
170
Step-by-step explanation:
72/85=.85
.85x200=170
170 out of 200 attempts
Draw a possible function that satisfy the given domain and range
9514 1404 393
Answer:
see attached.
Step-by-step explanation:
Your graph demonstrates a possible function, but it has the domain and range swapped.
__
The domain is the horizontal extent, so your line must end at x=-9 on the left and x=6 on the right.
The range is the vertical extent, so the function must extend from -4 at the bottom to +8 at the top.
The attachment shows a linear function with those characteristics.
Helppppppppppppponnmammam
Answer:
xd
Step-by-step explanation:
1*41*4*4*
5x-3y=20 line perpendicular
Answer:
y=(-3/5)x
Step-by-step explanation:
5x-3y=20
-3y=-5x+20
y=(5/3)x-(20/3)
perpendicular lines have opposite reciprocal slopes
Answer:
Perpendicular line is y = -3/5 x - 20/3
Step-by-step explanation:
First subtract 5x to move it to the other side. Now you have -3y = -5x + 20 . Next divide -3 on both sides to get y by its self. Now you have
y = 5/3 x - 20/3.
To find the perpendicular line, just remember that slope will be opposite. Look at the graph, I did for you above.⤴⤴⤴
Hope this helped :)
Junie bought bananas at the store on Monday. She bought four
and twenty-two hundredths pounds of bananas. How do you
write this number in decimal form?
Answer:
4.22
Step-by-step explanation:
twenty-two hundredths = .22
Answer:
22
Step-by-step explanation:
solve the equation for y and then graph it. 9y-x=18
Answer: 2+ x/9
graphed
x y
0 2
9 3
Step-by-step explanation:
what values are equvalent to 5 and 7/8
Answer:
[tex]5→5/1[/tex]
[tex]7/8→14/16[/tex]
Thanks!!!!
3x2 + 2y, when x= 3 and y=-3
Answer: This gives 3x^2 – 2y exceeding 2x^2– 3y by 17 - 3 = 14
Step-by-step explanation: HOPE THIS HELPPSSS ! <3333
Answer:
21
Step-by-step explanation:
someone plz help me plzzzzzzz
Answer:
Step-by-step explanation:
30÷2/5 = 75
75
30 points!
Paul has
$20000
to invest. His intent is to earn
9%
interest on his investment. He can invest part of his money at
6%
and part at
10%
interest. How much does Paul need to invest in each option to make a total of 9%
return on his
$20000
?
6%: ?
10%: ?
Step-by-step explanation:
0,06x + 0,1(20000-x) = 0,09(20000)
0,06x + 2000 - 0,1x = 1800
-0,04x = -200
x = -200 /(-0,04)
x = 5000
therefore,
for 6% interest => total invest =$5000
for 10% interest => total invest = $15000
Screenshoting my answer because brainly somehow thinks there are bad words...
Which graph represents the equation 12 = 3x + 4y? Explain how you know.
Answer:
Solve for x: x = 4 - 4y/3
Solve for y: y = 3 - 3x/4
X intercept(s): (4, 0)
Y intercept(s): (0, 3)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.