Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
What are the coordinates of A after ABC is reflected over the y axis
Answer:
(-8;7) ---> (8;7)
x changes sign. y stays with the same sign
............
PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
(2,7)
Step-by-step explanation:
Variable Definitions:
x=
x=
\,\,\text{the number of apples}
the number of apples
y=
y=
\,\,\text{the number of bananas}
the number of bananas
\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}
“a minimum of 7 items"→7 or more items
Use a \ge≥ symbol
Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:
x+y\ge 7
x+y≥7
\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}
“$8 to spend"→can spend $8 or less
Use a \le≤ symbol
One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:
2x+0.50y\le 8
2x+0.50y≤8
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}
x+y≥7
y≥7−x
2x+0.50y≤8
0.50y≤8−2x
y≤
0.50
8−2x
y≤16−4x
Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:
0
the number of apples
the number of bananas
x
y
0
the number of apples
the number of bananas
(2, 7)
Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:
Zoey could buy 2 apples and 7 bananas.
what 15 yards in feet
Answer:
45
Step-by-step explanation:
1 yard= 3 feet
what is the slope..
Answer:
the slope is 2
Step-by-step explanation:
the x's are increasing by 4 each time and the y's are increasing by 2 each time giving you [tex]\frac{4}{2\\}[/tex] which simplifys to 2
You bought a video game for $35. You got it on sale
for 25% off. What was the price before the sale?
Which formula do we use to solve this?
A.Final Price Formula
B.Original Price Formula
Answer:
Sorry I feel bad I don't kt the answer sorry hope you find the answer tho
Step-by-step explanation:
sorry
Equivalent fractions of 23,479 to 782
Answer:
93912/391
Step-by-step explanation:
i think its 93912/391
can i have brainiest plssss
Amanda is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurfaces can be modeled by the equation 0=2−8+7 where is the number of horizontal feet she travels. Solve the equation to find the number of feet she will travel before coming back to the surface of the water.
Answer:
The number of feet she will travel back is 1 or 7 feet
Step-by-step explanation:
Here, we need to solve the quadratic equation
That will be as follows;
0 = x^2 -8x + 7
x^2-x-7x+ 7 = 0
x(x-1)-7(x-1) = 0
(x-1)(x-7) = 0
x = 1 or 7
The number of feet she will travel before coming back to the surface of the water is 1 or 7 feet
What are some real world examples of how you can use the skills of proof writing?
will give brainlyst have to be right
A small town has two local high schools. High School A currently has 500 students and is projected to grow by 80 students each year. High School B currently has 700 students and is projected to grow by 30 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine how many students would be in each high school in the year they are projected to have the same number of students.
The equation that represent the number of students in High School A at time t is AA = 500 + 80tt.
The equation that represent the number of students in High School B at time t is BB = 700 + 30tt.
The number of students when both schools would have the same number of students is 820.
When would the school have the same number of students?
The equation that represent the number of students in High School A :
current number of students + (number of years x rate of increase)
AA = 500 + 80tt.
The equation that represent the number of students in High School B at time t is:
current number of students + (number of years x rate of increase)
BB = 700 + 30tt.
When the schools would have the same number of students, the two equations would be equal:
700 + 30tt = 500 + 80tt
700 - 500 = 80tt - 30tt
200 = 50tt
tt = 200 / 50
tt = 4
Population = 500 + (80 x 4)
500 + 320 = 820
To learn more about linear equations, please check: https://brainly.com/question/26434260
#SPJ1
Pls help me with this! Thank u !!
If you answer properly i will make you brainliest.
Answer:
2C + 5F > 175
Step-by-step explanation:
C = croissant F = french bread
You make $2 for each C, $5 for each F.
Since you don't know the actual numbers, you would use the variable C and F for later.
Added together, it must be greater than $175, so use the > sign.
Answer:
2.00C + 5.00F > 175
Step-by-step explanation:
6th grade math i mark as brainliest
Solve for s.
12s=72
s = 17
s = 27
s = 3
s = 7
Answer: s = 6
Step-by-step explanation:
just simply divide both sides.
12s / 12 = 72 / 12
s = 6
help me out please asp
Review my example on how to find the rate of change for a given set of data. Let (x, y) = (11, 12) and (x', y') = (15, 16). The formula to find the rate of change for the two order pairs is: (y' - y) / (x' - x) = rate of change, so (16 - 12) / (15 - 11) = 4/4 = 1, therefore, the rate of change is 1 *
I would have labeled the points as
(x1,y1) = (11,12)
(x2,y2) = (15,16)
then used the formula
m = (y2-y1)/(x2-x1)
However, your idea works as well. I don't see any errors with your steps. Nice work.
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 7 unit and the width is Fraction 3 over 7 unit, what is the perimeter of the rectangle in units? (3 points) Group of answer choices Fraction 5 over 7 unit 1 unit 1 Fraction 3 over 7 units 2 Fraction 5 over 7 units
Given:
Length of the rectangle = [tex]\dfrac{2}{7}[/tex] units
Width of the rectangle = [tex]\dfrac{3}{7}[/tex] units.
To find:
The perimeter of the rectangle.
Solution:
We know that,
Perimeter of a rectangle = 2( l + w )
where, l is length and w is width.
Using the above formula, the perimeter of the rectangle is
[tex]P=2(\dfrac{2}{7}+\dfrac{3}{7})[/tex]
[tex]P=2(\dfrac{5}{7})[/tex]
[tex]P=\dfrac{10}{7}[/tex]
[tex]P=1\dfrac{3}{7}[/tex]
The perimeter is [tex]1\dfrac{3}{7}[/tex] units.
Therefore, the correct option is C.
Answer: for short its c have a good day ! :)
Step-by-step explanation:
Pls helppppppppp!!!!!!’
Answer:
it c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
how many times does 50 go into 102?
Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2
Step-by-step explanation: 2 times 50= 100
6th Grade Math Problem
Please Help Me Solve.
(Also Explain Please)
THANK YOU SO MUCH!
ALSO WORTH POINTS!
=)
Answer:
8$ is 3 burgers
40$ is 15 burgers
Step-by-step explanation:
4x+3−2x=15
what is x?
Answer:
2
Step-by-step explanation:
4x+3-2x = 15
6x = 15-3
6x = 12
x = 12/6
X = 2
hope it helpful ✌️✌️
please help thanks in advance
Answer:
length of each is 51
Step-by-step explanation:
they are congruent triangles so they are equilateral
therefore, you can set 7x - 5 and 5x + 11 equal to each other and solve for 'x'
2x = 16
x = 8
Substitute 8 into each expression and both come out to be 51
pls help asap!! this is due really soon
Answer:
EF=20
Step-by-step explanation:
EF is midsegment of the triangle so the equation is
AB/2=EF
7x-2/2=2x+8
7x-2=4x+16
7x-4x=16+2
3x=18
x=18/3
x=6
EF=2×6+8
=12+8
=20
Mountaintop Water Company produces
water bottles 18 hours per day. In the
past 3 hours, the company has produced
3,600 bottles of water. Which is the best
prediction for the number of bottles of
water the company will make in one day?
HELPP
Answer:
24/3×3600=28800bottles per day
Step-by-step explanation:
what is 1+1, please answer
Answer:
Your answer is 2.
Step-by-step explanation:
You use the normal way of adition.
1
+1
___
2.
Hope this helps!
Kira runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes.
Answer:
2.8 miles
Step-by-step explanation:
brian runs 7 miles in 60 minutes at the same rate how many miles would he run in 24 minutes?
(24/60)*7=2.8 miles
Help Please! Solve For Y.
Answer:
i think 7
Step-by-step explanation:
27) What is the formula of area of a circle?
Answer:
πr^2
Step-by-step explanation:
My 11th grade teacher taught me this song to remember the formula for area and circumference of a circle (to the tune of "Twinkle Twinkle Little Star"):
"Twinkle twinkle little star circumference equals 2πr. Area if you ever cared always equals πr^2."
Answer:
A=πr2
Step-by-step explanation:
i believe this is the formula
As a cold front moved in, the temperature dropped 3 degrees each hour for 6 hours. What was the total temperature change after the 6 hours?
Answer:18°
Step-by-step explanation:
6x3=18
Why is the red stuff coming out my underwear place pleaseeee helpp
Answer
it depends if you're on your period and if not then it could be something is but if you're girl its a vaginal discharge is normal start by wearing panty liners to stop it and leaving on to that you'll get your period
Step-by-step explanation:
3. (05.01)
A consistent, dependent system of equations is a system with ______
(1 point)
Answer: only one line
Step-by-step explanation:
