Will give brainliest! If you are unsure do not answer.
Make sure you answer both parts and be detailed in your explanation.
a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.
b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.
Answer:
a) because of the distributive property when you distribute you get 2x+8=2x+8
b) because when you distribute, you get 3x+7=3x+21 which is not equal so no value of x will work
Answer:
a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.
2x + 8 = 2(x + 4)
2x + 8 = 2(x) + 2(4)
2x + 8 = 2x +8
2x + 8 - 8 = 2x + 8 -8
2x = 2x
2x/2 = 2x/2
x = x
So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.
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b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.
3x + 7 = 3(x + 7)
3x + 7 = 3(x) + 3(7)
3x + 7 = 3x + 21
3x + 7 - 7 = 3x + 21 - 7
3x = 3x + 14
3x/3 = 3x/3 +14
x = x + 14
However, this is false. x cannot be equal to itself plus 14.
x ≠ x + 14
The simplification of this equation is untrue, so there is no solution to it.
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I hope this helps ^^
Good luck mate
It is 8 degrees at 8pm. By midnight, the temperature has dropped 12 degrees. What is the
new temperature outside?
Answer:
-4
Step-by-step explanation:
8-12=-4
Answer:
-4
Step-by-step explanation:
8-12=-4
There was a triangle ABC with sides 15, 20, and 10. One of the sides of a triangle, which is similiar to ABC is 60. What are the two other sides? Note: Give all possible answers
Answer:
The possible pairs of sides are 90 and 120, 30 and 45, and 80 and 40.
Step-by-step explanation:
We know that 60 is a multiple of 15, 20, and 30, so we multiply by each factor to find all possible pairs: 10x6=60, 20x6=120, and 15x6=90, that gives your first pair, 90 and 120.
We have now multiplied our first factor, 6. Now we need to multiply our second factor, 3: 20x3=60, 15x3=45, and 10x3=30. That gives your second pair, 30 and 45.
Finally, we need to multiply by our 3rd factor, 4: 15x4=60, 20x4=80, and 10x4=40. That gives you your final possible pair, 80 and 40.
I hope this helps :-)
a theater can hold 120 giants or 144 elves, if 90 giants are already in the theater how much elves can be admitted?
Answer:
36 more elves
Step-by-step explanation:
90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.
0.25 * 144 = 36
36 more elves can fit.
Answer:
36 elves
Step-by-step explanation:
Hope this helps
In which interval is the median age?
Choose 1 answer:
Answer:
Its C i believe correct me if im wrong
Answer:
its 5-10
Step-by-step explanation:
did the quiz
The cost of an item is $75. What will the total cost be with 9% tax?
Answer:
81.75
Step-by-step explanation:
75*1.09 = 81.75
Answer:$81.75
Step-by-step explanation:
9% of 75 is 6.15, add that to 75 and the answer is 81.75
Find the value of x. O A. 3 B. 9 O C. 15 D. 6
Answer:
D. 6
Step-by-step explanation:
90 - 30 = 60
so :-
10X = 60
then, X= 60÷10
X = 6.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{10x^\circ = 90 - 30^\circ}[/tex]
[tex]\mathsf{10x^\circ = 60}[/tex]
[tex]\large\textbf{DIVIDE 10 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{10x}{10} = \dfrac{60}{10}}[/tex]
[tex]\large\textbf{SIMPLIFY it}[/tex]
[tex]\mathsf{x = \dfrac{60}{10}}[/tex]
[tex]\mathsf{x = \dfrac{60\div10}{10\div10}}[/tex]
[tex]\mathsf{x = \dfrac{6}{1}}[/tex]
[tex]\mathsf{x = 6}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{x = 6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]PLEASE HELP!!
Rita and her two children live in subsidized housing and pay monthly rent of $230. The cost of heating
is included in the rent. The electric bill averages $56 a month while the water and sewage bill averages
$35 for every 3 months of use. Telephone costs average $19.50 a month. Rita carries no renters
insurance on her personal property. What is Rita's total annual cost of renting?
Answer:
$3806
Step-by-step explanation:
230.0
56.0
+ 19.50
305.50
305.5x12=3666
35x4=140
3666+140=3806
How much is Sam's 11% commission on $350,000 in sales?
Answer:
$38,500
Step-by-step explanation:
350000 x .11 = 38500
Simplify the given expression
sin(3x)cos(8x)-sin(8x)cos(3x)
Answer:
Step-by-step explanation:
sin A cos B-cos A sin B=sin (A-B)
sin (3x)cos (8x)-cos (3x)sin (8x)=sin (3x-8x)=sin (-5x)=-sin (5x)
If 2x⁴ + 2y⁴ + 2z⁴ = 144, what is the mean of x⁴, y⁴ and z⁴
Answer: 24
Step-by-step explanation:
Given
[tex]2x^4+2y^4+2z^4=144[/tex]
dividing whole equation by 2, we get
[tex]\Rightarrow x^4+y^4+z^4=72[/tex]
Mean is given by the sum of the value of entities divided by the total no of entities
[tex]\Rightarrow \text{Mean}=\dfrac{x^4+y^4+z^4}{3}\\\\\Rightarrow \text{Mean}=\dfrac{72}{3}\\\\\Rightarrow \text{Mean}=24[/tex]
Twenty more than four times a number is equal to the difference between −71 and three times the number. Find the number.
4x + 20 = - 71 - ( 3x )
4x + 20 = - 3x - 71
Subtract sides minus 20
4x + 20 - 20 = - 3x - 71 - 20
4x = - 3x - 91
Add sides 3x
4x + 3x = - 3x + 3x - 91
7x = - 91
Divide sides by 7
7x / 7 = - 91 / 7
Simplification
x = - 13
Thus the number is ( - 13 ) .
A copper plate is in the shape of an isosceles triangle with a base of 34 inches. The perimeter of the plate is 110 inches. How long is each of the equal sides of the plate
Answer:
An isosceles triangle has 2 equal sides. If the perimeter is 110 inches, and your base is 34 inches, subtract the base from the total perimeter. 110-34= 76. If 2 sides have to be equal, the total length of the 2 sides is 76 inches, divide the 2 lengths by 2 to get the measure of each side individually. 76÷2=38.
Hence, your answer is each of the equal sides of the plate equals 38 inches.
Hope this helps!
You select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a red marble? A)1/8
B)2/4 C)2/5 D) 3/11
Answer:
i think its b but I'm not exactly sure i have to check again
Step-by-step explanation:
At Cheng's Bike Rentals, it costs $37 to rent a bike for 8 hours.
How many hours of bike use does a customer get per dollar?
Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents. (4.62$)
Step-by-step explanation:
after spending 7/9 of a three hours examination, a student left the exams hall. How many minutes has he to complete the duration of the examination.
Corresponding Angles are congruent.
Which angle corresponds with <3?
Answer:
angle 3 is corresponding angle is angel 8
What is the range of F?
Answer:
A should be right :)
Answer:
I think D as that's the highest point
Step-by-step explanation:
I think D as that's the highest point
A school librarian ordered new books
Answer:
35
Step-by-step explanation:
Answer:
8232
Step-by-step explanation:
Commute times in the U.S. are heavily skewed to the right. We select a
Type numbers in the boxes.
random sample of 220 people from the 2000 U.S. Census who reported a non- 10 points
zero commute time.
In this sample the mean commute time is 28.3 minutes with a standard deviation of 19.2 minutes.
Can we conclude from this data that the mean commute time in the U.S. is less than half an hour?
Conduct a hypothesis test at the 5% level of significance.
What is the p-value for this hypothesis test?
Your answer should be rounded to 4 decimal places.
The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
*** I will make you brainiest if the answer is correct ***
Write an equation of a line in slope intercept form that passes through (-3, -4) and (4, 3)
Answer:
y= 1x-1
Step-by-step explanation:
i used stat edit
Which model is 85% shaded?
Step-by-step explanation:
where's the model?
I can't answer it unless there's a model
Help me solve this please!!!!!
Answer:
[tex]s = 4\pi {r}^{2} \\ \frac{ds}{dr} = 8\pi r =8\pi(2) = 16\pi \\ from \: chain \: rule \\ \frac{ds}{dr} = \frac{ds}{dt} . \frac{dt}{dr} \\ but \: \frac{ds}{dt} = 1 \\ 16\pi = 1 \times \frac{dt}{dr} \\ \frac{dt}{dr} = 16\pi \\ \frac{dr}{dt} = ( \frac{dt}{dr} ) ^{ - 1} \\ \frac{dr}{dt} = \frac{1}{16\pi} [/tex]
Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.
Answer:
The measure of the angle [tex]b[/tex] is approximately 44.040°.
Step-by-step explanation:
We need to apply Law of the Sine to determine the value of angle [tex]b[/tex], since the length of the side opposite to this side and another side length and its opposite angle are known. That is:
[tex]\frac{3.6}{\sin b} = \frac{5.1}{\sin 100^{\circ}}[/tex]
[tex]\sin b = \frac{3.6}{5.1}\times \sin 100^{\circ}[/tex]
[tex]b = \sin^{-1}\left(\frac{3.6}{5.1}\times \sin 100^{\circ} \right)[/tex]
[tex]b \approx 44.040^{\circ}[/tex]
The measure of the angle [tex]b[/tex] is approximately 44.040°.
What is the surface area of the right cone below?
Radius 8
Slanted height 14
A. 896 units2
B. 1677 units2
C. 1767 units2
D. 2247 units
Total surface area of cone is 176π
Explanation:
Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.
Hence surface area of curved surface of a cone is π×8×14=112π .
As surface area of base is π×82=64π .
Hence total surface area is 112π+64π=176π
The surface area of the given cone is 552.64 units²
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, a cone has a radius of 8 and slant height of 14 units, we need to find its surface area,
The surface area of cone = π ·r²+ π·r·l, where l is the slant height,
So,
SA = (3.14 × 8²) + (3.14 × 8 × 14)
= 200.96 + 351.68
= 552.64
Hence, the surface area of the given cone is 552.64 units²
Learn more about surface area click;
brainly.com/question/29298005
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Solve for p.
-4.5 + 2/3
- 18.9
A
p=-117.9
B.
p = -108.9
С
p = -86.4
D
P = 140.4
Answer:
me no sabo
Step-by-step explanation:
which one?
9kv
1/2(k+9)(v)
v(k) + 1/2v (9)
v+k+9+9+k
Answer:
the third one
Step-by-step explanation:
v×k + 1/2v×9
Madison will use a 1/5 gallon pitcher to fill an empty 7/8 gallon jug for her lemonade stand. How much lemonade will she need to fill the jug?
1.Between 2 and 3
2.Between 3 and 4
3.Between 4 and 5
4.Between 5 and 6
What is 20% tip on a bill of 59.61
Answer:
about $12
Step-by-step explanation:
59.61(0.20)=11.922
11.922 rounded up is 12.
ur total bill would be $71.61