Answers
Answer:
A and B
Step-by-step explanation:
simplify both sides of the equation
add 4x to both sides subtract 3 from both sides. Divide both sides by 9 and that's it
If the equation given a unique and single value of variable after solving then the equation is said one solution equation.
The equation which has only one solution are,
[tex]5x+3=-2(2x+3)[/tex]
Thus, the option C is the correct option.
How to find one solution of equation?
If the equation given a unique and single value of variable after solving then the equation is said one solution equation.
Such equation gives exactly one solution.
Given information-
To find the equation we have to solve each equation one by one.
A)The equation given in the problem is,[tex]-7x+2&=-3(x-3)-4x-7\\[/tex]
Solve it further,
[tex]-7x+2&=-3x+9-4x-7\\-7x+2&=-7x+2\\.\;\;\;\;\;\;\;\;\;\;\;0=0[/tex]
Thus this equation has no solution. Hence the option A is the incorrect option.
B)The equation given in the problem is,[tex]14x&=7(2x+2)[/tex]
Solve it further,
[tex]14x&=14x+14\\.\;\;\;0=14[/tex]
Thus this equation has no solution. Hence the option B is the incorrect option.
C)The equation given in the problem is,[tex]5x+3=-2(2x+3)[/tex]
Solve it further,
[tex]5x+3=-(4x+6)\\5x+3=-4x-6[/tex]
Bring the same variable terms one side.
[tex]5x+4x=-6-3\\9x=-9\\x=-1[/tex]
As the expression of equation gives the value of variable which is -1.Thus this equation has one solution.
Hence the option C is the correct option.
D)The equation given in the problem is,[tex]3(4x+2)-9=12x-3[/tex]
Solve it further,
[tex]12x+6-9=12x-3\\2x-3=12x-3\\.\;\;\;\;\;\;\;0=0[/tex]
Thus, this equation does not has one solution.
Hence the option D is the incorrect option.
Hence the equation which has only one solution are,
[tex]5x+3=-2(2x+3)[/tex]
Thus, the option C is the correct option.
Learn more about the solution of equation here;
https://brainly.com/question/21283540
Related Questions
what are the values of a, b, and c in the quadratic equation -2x² + 4x - 3 =0?
Answers
Answer:
x=1
Step-by-step explanation:
I believe that's the answer sorry if I'm wrong
Which of the following describes theoretical probability?
Answers
Answer:
Roll of a Die
Step-by-step explanation:
Evaluate the power: (−3)^4
A. 81
B. -81
C. 243
D. -331
Answers
Answer:
The answer is 81.
Step-by-step explanation:
Since the power of 4 is even, the result will be positive.
[tex] {3}^{4} [/tex]
Simplify.
[tex]81[/tex]
hence, the answer is Option A) 81.
Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y
Answers
Answer:
(-4.666667, -3.16667)
Step-by-step explanation:
(-4 2/3, -3 1/6)
9514 1404 393
Answer:
(x, y) = (7, 2 2/3)
Step-by-step explanation:
We can multiply the first equation by 2/5 to get ...
8x -6y = 40
The second equation gives an expression for 6y that we can substitute.
8x -(3x -5) = 40
5x +5 = 40 . . . . . eliminate parentheses
x +1 = 8 . . . . . . . .divide by 5
x = 7 . . . . . . . . . .subtract 1
Using the second equation, we find ...
3(7) -5 = 6y
y = 16/6 = 2 2/3
The coordinates of the point of intersection are (x, y) = (7, 2 2/3).
8y =120 find the solution to the equation
Answers
Answer:
15
Step-by-step explanation:
Answer:
y=15
Step-by-step explanation:
8y=120/8
y=15
Find the equation of the line pls help
Answers
Step-by-step explanation:
A(0,3) B(2,2)
[tex] \frac{y - 2}{4 - 2} = \frac{x - 2}{0 - 2} \\ \frac{y - 2}{2} = \frac{x - 2}{ - 2} \\ y - 2 = - x + 2 \\ y = - x + 4[/tex]
find the slope of the lines graphed below
Answers
Answer:
use formula
slope m =(y2-y1)/(x2-x1)
Step-by-step explanation:
for first one
(x1,y1)=(2,1)
(x2,y2)=(0,-3)
now
slope m =(y2-y1)/(x2-x1)=(-3-1)/(0-2)=-4/-2=2
try other thank you hope it helps
Add fractions with unlike denominators
Answers
Answer:
29/12
Step-by-step explanation:
[tex]\frac{7}{4} +\frac{2}{3}[/tex]
7 * 3 / 4 *3 = 21/12
2 * 4 / 3 * 4 = 8/12
[tex]\frac{21}{12} +\frac{8}{12}= \frac{29}{12}[/tex]
Hope this helps!
Answer:
29/12 or 2 and 5/2 as a mixed number
Step-by-step explanation:
A large tank holds 5 x 10^7 gallons of oil. How much oil can be stored in 27 tanks?
Write your answer in scientific notation.
Answers
Answer:
i dunno do the math
Step-by-step explanation:
The circumference of a circle is 46.472 millimeters. What is the circle's radius?
Answers
Answer:
r≈7.4
Step-by-step explanation:
C=2πr
Solving forr
r=C
2π=46.47
2·π≈7.39625
Hope this helps! Happy friday!
I need help please help me
Answers
Answer:
1: 11/14 2: 1 5/12 3: 1 1/20 4: 7/10 5: 3/4 6: 1 2/9 7: 1 8: 1/8 9: 3/5 10: 23/24
Helppp please i need help!!! I was having trouble
Answers
V=πr2h
3=π·32·7
3≈65.97345
in shop a crunchy peanut butter costs $325 for 250g
in shop b crunchy peanut butter costs $408 for 340g
which shop gives better value for money. explain your answer
Answers
Answer:
shop b
Step-by-step explanation:
We can find for example how much 100 grams of peanut butter cost in each shop using a proportion
shop A 100 : 250 = x : 325
x = (325 * 100) / 250 = $130
shop B 100 : 340 = x : 408
x = (408 * 100)/ 340 = $120
We discovered that shop B is cheaper
Dana takes a sheet of paper and cuts from one corner to the opposite corner, making two triangles. If the piece of paper is 8 inches long and 5 inches wide, how long is the diagonal cut that Dana made? If necessary, round to the nearest tenth.
Answers
Answer:
9.4 inches
Step-by-step explanation:
The triangle formed is aright angled triangle with the right angle between the length and width of the paper cut hence the diagonal represents the hypotenuse side.
Recall that Pythagoras theorem states that
a^2 + b^2 = c^2 where c is the hypotenuse side and a, b are the opposite and adjacent sides
Hence
8^2 + 5^2 = c^2
c^2 = 64 + 25
= 89
Finding the roots of both sides
c = 9.433981132
To the nearest tenth
c = 9.4 inches
Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as
many villagers. The game gave Chase 4 villagers to start with. Help Chase expand his empire by solving for how many villagers he can create
with 17 towns. Then explain to Chase how to create an equation to predict the number of villagers for any number of towns. Show your work
and use complete sentences. (10 points)
Answers
Answer:
about 23 villagers
Step-by-step explanation:
17 x 1.13 =19.21 + 4 =23.21
chase would have to use the equation
(n x 1.13)+4
with n being the number of towns
Simplify the expression. Write your answer as a power.
6^7•6^10 divided by 6^4•6^3
Answers
Answer:
[tex] {6}^{10} [/tex]
Step-by-step explanation:
[tex] \frac{6^7•6^{10}}{6^4•6^3} \\ \\ = \frac{6^7•6^{10}}{ {6}^{4 + 3} } \\ \\ = \frac{ \cancel{6^7}•6^{10}}{ \cancel{6^7}} \\ \\ = {6}^{10} [/tex]
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Answers
Answer: B: 140.4
Step-by-step explanation:
The New Horizons satellite is currently travelling at a speed of 35,000 mph (miles per hour). How many miles
can it travel in one day?
Answers
You multiply 35,000 and 24 since it's 24 hrs in a day and it gives you 840,000!
Osvoldo has a goal of getting at least 30, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains.
Answers
Answer:
No
He ate only 25% from whole grains
He ate 5% less grams from his goal
Step-by-step explanation:
Osvoldo has a goal of getting at least 30, percent of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 55 grams were from whole grains.
Did Osvoldo meet his goal? Why? , Osvoldo ate grams of whole grains than his goal.
Percent of whole grains ate = grams of whole grain / total carbohydrates) x 100
(55/220) x 100 = 25%
This is less than his goal of 30% by (30% - 25%) 5%
Answer:
No, Osvoldo 11 grams of whole grains less than his goal.
Step-by-step explanation:
30% x 220
30% = 30/100 = 30 ÷ 100
30 ÷ 100 = 0.3
0.3 x 220 = 66
66 - 51 = 11
Joe drove for 5 hours and traveled a distance of 240 miles . Which is best estimate of the number of miles Joe will travel in 7.2 hours.
a. 400
b. 375
c. 350
d. 325
Answers
Answer:
c,because he drove 48 miles per hour multiply that by 7.2 get you 345.6 rounded to 350.
Step-by-step explanation:
Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?
Answers
Answer in scientific notation: 8.3x10^-3
How does the graph of the function g(x) = 2^x- 3 differ from the graph of f(x) = 2^x?
A. It is moved up 3 unit.
B. It is moved down 3 unit.
c. It is moved right 3 unit
D. It is moved left 3 unit.
Answers
C is answer
I saw 8 sunflowers, 7 roses, and 2 lavender when I was walking outside.I collected them and decided to arrange them. How many different arrangements can I create?
Answers
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8 with a remander of 1
Step-by-step explanation:
HELP ASAP!!!!!!!!! what is the measure of angle x?
Answers
Step-by-step explanation:
x + 149° = 180° {Being linear pair }
x = 180° - 149°
x = 31°
Hope it will help :)❤
Answer:
180-149 = 31
that's right
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Answers
Answer:
c.
Step-by-step explanation:
because probability is normally in fraction or decimal
The doctor wrote a prescription for 3,110 milliliters of medicine. How many liters of medicine did she prescribe? (1 liter = 1,000 milliliters)
Answers
Answer:
3.11 liters
Step-by-step explanation:
converting mL to L requires dividing by 1000, or moving the decimal point 3 places to the left
Steve flipped a coin 10 times and recorded his results in this chart.
Part A: What is the THEORETICAL probability of the coin landing heads up?
Answers
Answer:
Step-by-step explanation:
actual over theoretical times 100 equals ur percentage
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Answers
Answer:
x = 23 degress
Step-by-step explanation:
(x + 2) + 65 = 90
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x = 23 degress
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C. 64
D. 16
Answers
The retail price is 81% more than the original price. Hence, retail price = percent of original price
Answers
Answer: retail price x 1.81
Step-by-step explanation:
Price 100
Mark up is 81 percen
100 plus .81 equal 181