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:
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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.
CAN SOMEONE PLEASE HELP ME
Answer:
D is the correct answer.
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!!!!
Kyle bought 20 pound pumpkin for $5.95 his brother bought a 5 pound pumpkin for $2.29 how much more did Kyle pay for his pumpkin
Answer:
3.66
Step-by-step explanation:
5.95
-2.29
3.66
someone plzz help me plzzzzzzz
Answer:
5
Step-by-step explanation:
Write an equation for the line , in point slope form that passes through the following. points: (5, - 3) (- 2, 6)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required equation is :
[tex]y + 3 = - \dfrac{9}{7} (x - 5)[/tex][tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
Let's find the slope (m) of the line :
[tex] \mathrm{ \dfrac{y2 - y1}{x2 - x1} }[/tex][tex] \mathrm{ \dfrac{6 - ( - 3)}{ - 2 - 5} }[/tex][tex] \dfrac{6 + 3}{ - 7} [/tex][tex] - \dfrac{9}{7} [/tex]now, let's find the equation in point slope form :
[tex] \mathrm{y - y1 = m(x - x1)}[/tex][tex]y - ( -3 ) = - \dfrac{ 9}{7} (x - 5)[/tex][tex]y + 3 = - \dfrac{ 9}{7} (x - 5)[/tex]or it can be more simplified as :
[tex]7(y + 3) = - 9(x - 5)[/tex][tex]7y + 21 = - 9x + 45[/tex][tex]9x + 7y = 45 - 21[/tex][tex]9x + 7y = 24[/tex][tex]9x + 7y - 24 = 0[/tex]I hope it helped ~
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]
A 2-quart carton of apple juice costs $9.68. What is the price per cup?
Answer:
$1.21
Step-by-step explanation:
There are 4 cups in a quart so that makes 2 quarts 8 cups.
9.68 divided by 8 is 1.21
So the price for each cup is $1.21
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 .
HELP ME 10 POINTS
A.the change in minutes for every change of one degree Fahrenheit
B. The change in degrees Fahrenheit for every change of one minute
C. A temperature of 110° F after 1 minute
D. The temperature the oven starts at
Answer:
the answer is c
Step-by-step explanation:
the answer is C because it doesn't go up 110 Fahrenheit every minute
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.
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!
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.
67. If mn + p = m + 3n, what is the value of m when
n = 4 and p = 6? MP 2
A -2
B
2
C 3
D 3.6
O E 6
Answer:
2
Step-by-step explanation:
mn + p = m + 3n, n = 4 and p = 6
m(4)+6=m+3(4)
4m+6=m+12
4m=m+6
3m=6
m=2
Answer:
B) 2
Step-by-step explanation:
Step 1: Plug in the values of n and p.
[tex]m(4) + 6 = m + 3(4)[/tex] [tex]4m + 6 = m + 12[/tex]Step 2: Subtract m from both sides.
[tex]4m + 6 - m = m + 12 - m[/tex] [tex]3m+6=12[/tex]Step 3: Subtract 6 from both sides.
[tex]3m + 6 - 6 = 12 - 6[/tex] [tex]3m = 6[/tex]Step 4: Divide both sides by 3.
[tex]\frac{3m}{3} = \frac{6}{3}[/tex] [tex]m = 2[/tex]Step 5: Check if solution is correct.
[tex](2)(4)+(6)=(2)+3(4)[/tex] [tex]8 + 6 = 2 + 12[/tex] [tex]14 = 14[/tex]Therefore, the answer is B) 2.
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
Scientists use the rule of 70 to calculate human
population growth.
According to the rule of 70, what is the doubling time
for a nation with a population growth rate of 5% per
year?
Answer:
huStep-by-step explanation:
jh
HIII CAN SOMEONE PLZ HELP ME WITH THE PIC I ATTACHED. IM DESPERATE
Can someone please solve??
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?
solve triangle ABC, b=62, c=37, and angle A is 78 degrees
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :a = 78
b = 62
c = 37
Soo :
ABC = ?
= (78)(62)(37)
= 178.932✔
ABC
= (78)(62)(37)
= 78 × 62 × 37
= 178.932
in the diagram mACB =65
Answer:
x = 9.3
Step-by-step explanation:
True or False: If you stop using your credit card for purchases, you won’t ever have to pay interest again. Explain.
Answer:
Step-by-step explanation:
If you pay your credit card as soon as you make a purchase, then the statement is true.
If you just leave the balance <> to 0 and don't purchase anything more, the interest just keeps on building up. It is the surest way to get into financial trouble.
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:
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
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
fx =1; then fx =2; then fx =4
Step-by-step explanation:
then plug the coordinates in as x is horizontal bar in top right then the fx
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 :))
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
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.