Answer:
Option B.
Step-by-step explanation:
The given equations is
[tex]7.4x+4.1(2x-4)=-2.3(x-6)-21.6[/tex]
The correct steps to solve the above equation are
1. Using distributive property, we get
[tex]7.4x+8.2x-16.4=-2.3x+13.8-21.6[/tex]
2. Combining like terms, we get
[tex]15.6x-16.4=-2.3x-7.8[/tex]
3. Using addition property of equality, add 2.3x on both sides.
[tex]17.9x-16.4=-7.8[/tex]
4. Using addition property of equality, add 16.4 on both sides.
[tex]17.9x=8.6[/tex]
5. Using division property of equality, divide both sides by 17.9.
[tex]x\approx 0.48[/tex]
In step 2, the like terms were not combined properly on the right side of the equation.
[tex]13.8-21.6=-7.8\neq 35.4[/tex]
Therefore, the correct option is B.
Answer:
The correct answer is b. In step 2, the like terms were not combined properly on the right side of the equation.
Find the point P that partitions the line segment AB given the ratio.
A (3, 6) B(4, 3) with the ratio 2:1
(11 over 3,4)
(4,11 over 3)
(5, 8)
(10, 12 over 5)
Answer:
(11/3, 4)
Step-by-step explanation:
To calculate the coordinates of the point that partitions the line segment in the given ratio, we shall be using the internal division formula.
Mathematically, that is ;
= {(mx2 + nx1/(m+n), (my2 + ny1)/(m + n)}
m and n represents the ratios 1:2
(x1, y1) represents the coordinates of A
(x2,y2) represents the coordinates of B
From the question, let’s list out the individual values;
m = 2
n = 1
x1 = 3
x2 = 4
y1 = 6
y2 = 3
Substituting these values in the equation, we have;
(2(4) + 1(3)/(1+2) , (2(3) + 1(6)/(1 + 2))
= (8 + 3)/3 , (6 + 6)/3)
= (11/3, 12/3)
= (11/3 , 4)
The exam scores from the most recent math test are shown. What is the value of measure that best describes a typical math score?
93,88,76,91,92,96,100,96,74,
89,94,91
Answer:
I believe it would be "mean".
Step-by-step explanation:
Mean is an average of a set of numbers.
Water flows through a pipe at a rate of 1300 cubic meters per month. Express this rate of flow in pints per day. Round your answer to the nearest whole number. please help. I'm so dumb I cant figure this out lol.
Answer:
70 pints per day
Step-by-step explanation:
1 cubic meter is 2113.38 pints
on average, there is 30 days in a month
2113.38 divided by 30 is 70.44600
70.44600 is about 70
Answer:
91590
Step-by-step explanation:
Face east, turn through an angle of 180 degree to your right, your final direction will be _________________.
east
north
south
west
Calculate the length of the third side of a triangle where AB = 6cm, BC = 8cm.
7cm
9cm
10cm
12cm
Pick out the sets of number that is NOT Pythagorean triples.
9, 40, 46
16, 30, 34
10. 24, 26
50, 120, 130
No rushing, take your time and give accurate answers.
Answer:
West
10 cm
The first one
Five times the sum of a number and 27 is greater than or equal to six times the sum of that num
solution set of this problem?
Question:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.
What is the solution set of this problem?
Answer:
[tex]x \leq -21[/tex]
Step-by-step explanation:
Given
Represent the number with x
So:
[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]
Required
Determine the solution set
[tex]5 * (x + 27) \geq 6 * (x + 26)[/tex]
Open Both Brackets
[tex]5 * x + 5 * 27 \geq 6 *x + 6 * 26[/tex]
[tex]5x + 135 \geq 6x + 156[/tex]
Collect Like Terms
[tex]5x - 6x \geq 156-135[/tex]
[tex]- x \geq 21[/tex]
Multiply both sides by -1
[tex]x \leq -21[/tex]
Hence, the solution set is [tex]x \leq -21[/tex]
Answer:
[tex]x\leq -21[/tex]
Step-by-step explanation:
tolong dibantu yah pliss..
Answer:
Step-by-step explanation:
a. 4/7 + 3/8 = 32/56 + 21/56 = 53/56
b. 2/5 + 5/8 = 16/40 + 25/40 = 41/40 = 1 1/40
c. 3/8 + 2/10 = 15/40 + 8/40 = 23/40
d. 4/5 + 2/6 = 24/30 + 10/30 = 34/30 = 1 4/30 = 1 2/15
e. 5/6 + 2/9 = 15/18 + 4/18 = 19/18= 1 1/18
f. 2/15 + 5/12 = 8/60 + 25/60 = 33/60 = 11/20
yh so um What is 1/8of 48?
Answer: 1/8 of 48 is 6.
Step-by-step explanation: working this on a calculator helps as well! I hope that makes everything make sense
Answer:
6
Step-by-step explanation:
of means multiplication
if john gets 1 apple and already has 20 in a basket how many do you have in total.
Answer:
21
Step-by-step explanation:
the reason it is 21 is because u have 20 then u add 1 so it is 21 20+1=21
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
John already has 20 apples. If John gets 1 more apple, he would have 21 apples in total.
The word gets means addition. 20 plus 1 equals 21.
John has 21 apples after he gets another apple.
Ok technically I would have 0 apples since I didn't receive any only John did.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Solve x^3 = 64 over 27
Answer:
x = 4/3
Step-by-step explanation:
x³ = 64/27x³ = 4³/3³ ⇒ expressing 64 and 27 as cubes∛x³= ∛4³/3³ ⇒ cube roots of both sidesx = 4/3 ⇒ answerWhat is 2x^2=18 Solve it please!
Answer:
3
Step-by-step explanation:
[tex]2x^{2} = 18\\ => x^{2} = \frac{18}{2} =9\\ => x = \sqrt{9} = 3[/tex]
Hope u'll like it.....
Step-by-step explanation:
2x²=18
x²=18/2
x²=9
squaring both sides
and we get
x=3
hewo, cuties. I hope chu all has goodday UwU
3 - 2= 1
8 / 2=4
1 x 3 =3
1 4 3 = ily uwu
Answer:
1 4 3 4 4 = ilyvm
1 4 3 3 = ilyt
Step-by-step explanation:
A=
f forr
2
=
o
Need help with that plz help me
Answer:
r = 2a + k
Step-by-step explanation:
Hope this helps :D
is 12 rational or irrational
Answer: Rational
Step-by-step explanation: 12 is a rational number because it can be expressed as the quotient of two integers: 12÷ 1
What do Steven Hawking and Thomas Edison have in common?
The question is incomplete, the complete question is as follows:
What do Steven Hawking and Thomas Edison have in common
- Both men made mathematics discoveries
- Both men made discoveries that were well-received
- both men created technological inventions
- Both men used observations in their field of study
Answer:
- Both men made discoveries that were well-received
Step-by-step explanation:
Stephen Hawking and Thomas Edison were two great physicist or scientists, whose discoveries were well-recieved by all over the world.
Stephen Hawking gave theories in cosmology such as black holes that includes the second law, that states that black hole will never reduce its shape.
Thomas Edison was one of the great inventors in the history in different feilds such as mass communication, electric power generation, motion pictures, and sound recording. some of the inventions include Automatic Telegraph and tin foil phonograph.
They both have given scientific research and logics for their discoveries and so people accepted them.
Hence, the correct answer is " Both men made discoveries that were well-received ".
The answer is:
Both men made discoveries that were well-received.A 12 pack of soda cost $3.25 What is the unit price
Answer:
About $0.2708 per unit ' each can '.
Answer:
$.27
Step-by-step explanation:
$3.25 / 12 = 27
What is an equivalent expression for s^-10 divided by s^3
Answer:
s^-13
Step-by-step explanation:
you subtract when it is division
s^-10 / s^3
-10 - 3 = -13
s^-13
Answer:
s^0.03333333333
Step-by-step explanation:
s^1/10 divided by s^3
Evaluate 8-m/n+p^2 when m=8,n=2,p=7
Answer:
[tex]0[/tex]
Step-by-step explanation:
[tex] \frac{8 - m}{n + p {}^{2} } = \frac{8 - 8}{2 + 49} = \frac{0}{51} = 0[/tex]
someone pls help me !
A turf roller is 0.8m wide with a
diametrer of o.4m. find the area
of the lawn
covered in m², if the
roller rotates, 20 times
Answer:
≈ 20.11 m²
Step-by-step explanation:
Area of lawn covered by one full rotation:
Ch = πdw, whereC= circumference of the roller, w = width of the roller, d = diameter of the rollerArea covered by 20 rotations of the roller:
20*πdw = 20π*0.4*0.8 ≈ 20.11 m²how long will an object take to travel 4.8km at 48m/s?
Answer:
what is your fav movie or show on netfix
Step-by-step explanation:
Answer:
[tex] \boxed{\sf Time \ taken \ (t) = 100 \ s} [/tex]
Given:
Distance (d) = 48 km = 4800 m/s
Speed (s) = 48 m/s
To Find:
Time taken (t)
Step-by-step explanation:
Formula:
[tex]\boxed{ \bold{ Speed \ (s) = \frac{Distance \ (d)}{Time \ (t)}}}[/tex]
Substituting value of s & d in the equation:
[tex] \sf \implies 48 = \frac{4800}{t} \\ \\ \sf \implies t = \frac{4800}{48} \\ \\ \sf \implies t = 100 \: s[/tex]
[tex] \therefore[/tex]
Time taken (t) = 100 s
Samantha conjectures that for x < -1, it is true that x5 - 2 > x. Is her conjecture correct? Why or why not?
Answer:
The conjecture cannot work for any negative numbers, It works for x > 1.3.
Step-by-step explanation:
An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."
It only takes a counterexample to show the conjecture is incorrect.
x^5 -2 ?? x
(-2)^5 -2 ?? (-2)
-32 -2 ?? -2
-34 < -2 . . . . . . not greater than
My question is, y=mx+b solve for b
Answer:
Step-by-step explanation:
don't get any of this
Answer:
the value of the printer is going down over the years because it is getting older. all you need to do for this is label the x and y axis with the nbers on the graph and then fill it in
has ur teacher gone over how to fill in graphs yet?
Which of the following depicts a graph of a polynomial with a negative leading coefficient?
Answer:
Graph D.
Step-by-step explanation:
Hey there!
A coefficient is the number being multiplied by the variable,
Example: 5x - 5 is a coefficient
Graph d has a negative slope meaning the slope would be,
-1, -2, -3, -4, -5, ect.
So graph D is correct.
Hope this helps :)
Distance Traveled and Gas Left in Tank Distance Traveled (in miles) 0 90 180 270 Amount of Gas Left in Tank (in gallons) 15 12 9 6 How many gallons of gasoline does the car have left after it has traveled 330 miles?
Answer:
4 gallons of gasoline the car has left after it has traveled 330 miles.
Step-by-step explanation:
We are given with the following data of Distance Traveled and Gas Left in Tank below;
Distance Traveled (in miles) Amount of Gas Left in Tank (in gallons)
0 15
90 12
180 9
270 6
330 ?
As we can see from the table that for every 90 miles of distance traveled, there has been a reduction of 3 gallons of gas which is left in the tank, i.e;
From 90 to 180 - Gas reduced from 12 to 9
This means that in 1 gallon of gas, the distance traveled is = [tex]\frac{90}{3}[/tex] = 30 miles
So, from distance 270 to 300, the amount of Gas Left in Tank = 6 - 1 = 5 gallons
From distance 300 to 330 miles, the amount of Gas Left in Tank = 5 - 1 = 4 gallons
Hence, 4 gallons of gasoline is left after the car has traveled 330 miles.
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answer:
The Elegant Home Architects charges are less than Rock the House Digital Designs charges for hours worked more than 2.
If the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then Rock the House Digital Designs will be a better option .
Step-by-step explanation:
Let ℎ represent the number of hours for which the Johnson family hires the design firm.
Suppose the Johnson family hires the design firm for ten hours so h= 10
Then the charges by the Rock the House Digital Designs will be
$ 500 + 50(10)= $ 500+ $500= $1000
And the charges for the services by Elegant Home Architects will be
$75.00(10) = $ 750
Therefore the Elegant Home Architects charges are less than Rock the House Digital Designs charges.
But if the number of hours worked is equal to 2 than both would charge the same and if the hours are less than 2 then Rock the House Digital Designs will be a better option .
Rock the House Digital Designs
For 2 hours
$ 500 + 50(2)= $300
For 1 Hour
$500 + 50 (1)= $ 550
Elegant Home Architects
For 2 hours
$75.00(2) = $ 300
For 1 Hour
$75.00(1) = $ 75
2. Use the ideas in drawings (a) and (b) to find the solution to
Gauss's Problem for the sum 1 + 2 + 3 + ... + n. Explain
your reasoning.
Answer:
Step-by-step explanation:
Hello, I will compute twice the sum so I need to compute,
[tex]\begin{aligned}1&+2&+...+&(n-1)&+n\\\\n&+(n-1)&+...+&2&+1\\\\-&-----&---&---&---\\\\(n+1)&+(n+1)&+...+&(n+1)&+(n+1)\end{aligned}[/tex]
1+n = n+1
2 + n-1=n+1
...
n-1+2=n+1
n+1=n+1
So, this is n times n+1 so it is n*(n+1)
[tex]2(1+2+3...+n)=n(n+1)\\\\1+2+3...+n=\dfrac{n(n+1)}{2}[/tex]
The null hypothesis suggests that the two samples come from ___________ distribution(s), and the experimental hypothesis suggests that the two samples come from _____________ distribution(s). Group of answer choices the same; different different; different different; the same the same; the same
Can anyone pls help with this question?
Simplify the following algebraic fraction.
Answer:
work is pictured and shown
granola sells for 2.75 per pound.how much will 7 pounds cost?
Answer:
19.25
Step-by-step explanation:
if it sells per pound you would just multiply by 7 because thats what your looking for
have a great day :)
Answer:
$19.25
Step-by-step explanation:
One lb of granola sells for $2.75. You are trying to find how much 7 pound costs. Multiply 2.75 with 7:
($2.75/1 lb of granola) x (7/7) = (2.75 * 7/7 lb of granola)
Simplify:
2.75 * 7 = 19.25
7 lbs of granola costs $19.25
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