Answer:
-Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x= -1/2
Decimal Form:
x=0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: x = -1/2
Step-by-step explanation:
1/2 x - 3/10 = 5/2 x + 7/10
-1/2 x on both sides
-3/10 = 4/2 x +7/10
subtract 7/10 from both sides
-1 = 4/2x
simplify
2x = -1
divide 2 on both sides
x = -1/2
final grades are often computed using weighted averages. Some college professors Us complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between test and homework where whichever average is higher will be 67%. What will your final grade be if your homework average is 78 and your test average is 79?
Answer:
Your final grade will be 78.67 %
Step-by-step explanation:
67% of your grade will be from your test average which is 79 (higher)
33% of your grade will be from your homework average which is 78.
Calculating:
(67×79+33×78) / (67+33) = 7867 / 100 = 78.67
7(3w-3)=-12
HURRY PLEASE
Answer:
3/7
Step-by-step explanation:
21w - 21 = -12
21w = -12 +21
21w = 9
w = 9/21
i.e w= 3/7
Step-by-step explanation:
21w-21= -12
21w= -12 + 21
w=9/21
Expand the following:
a).
[tex]8(x - 2y)[/tex]
b).
[tex] \frac{6a + 18b - 12c}{6} [/tex]
Answer:
8x-16y
Step-by-step explanation:
b.6a/6+18b/6-12c/6Answer:
8x - 16y and a + 3b - 2c
Step-by-step explanation:
(a)
8(x - 2y) ← multiply each term in the parenthesis by 8
= 8x - 16y
(b)
[tex]\frac{6a+18b-12c}{6}[/tex] ← factor out 6 from each term in the numerator
= [tex]\frac{6(a+3b-2c)}{6}[/tex] ← cancel the 6 on numerator/ denominator
= a + 3b - 2c
Can someone please help me with this? You've gotta prove that x=8 in a table graph thing.
Answer:
AB= AC+CB
50 = (2x – 2 ) + 4(x+1)
50 = (2x – 2) + ( 4x+4)
50 = 6x +2
6x = 50 – 2
6x = 48
x= 48/6
x= 8
So; x=8 Q.E.D.
I hope I helped you^_^
Rebekah bought g gallons of paint for $12.85 per gallon and b brushes for $4.79 each. Which expression can be used to determine the total amount Rebekah spent on paint and brushes?
Answer:
g12. 85 + b4. 79
Step-by-step explanation:
g and b is just the amount she buys
Answer:
Step-by-step explanation:
Cost = 12.85g + 4.79b
That's all you can do to set up the total cost. There is no further reduction or combination that can take place. B and G are different.
any advice on geometry
Answer:
Just study and pay attention in class and take good notes. I would say that you should pay more attention when they teach you the trigonometry unit.
Pls help on the top question
Answer:
-13=5×1+5×4m-2m
-13=5+20m-2m
-13-5=18m
-18=18m
18m=-18
m=18÷18
m=1
Answer:
[tex]\frac{55}{4}[/tex]
Step-by-step explanation:
let the number be n the multiply by - 4 is - 4n and add 5 gives
- 4n + 5 = - 50 ( subtract 5 from both sides )
- 4n = - 55 ( divide both sides by - 4 )
n = [tex]\frac{-55}{-4}[/tex] = [tex]\frac{55}{4}[/tex]
The number is [tex]\frac{55}{4}[/tex] or 13.75 if you prefer
I Need to solve it brainliest
Answer:
h(-5) = (-2)^2 + 5 = 9
h(-1) = (2)^2 + 5 = 9
(9-9)/4 = 0
average rate of change is 0
Step-by-step explanation:
what is
(3-5i)-(7-8i)
A certain forest covers an area of 5000 km². Suppose that each year this area decreases by 5%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
The forest will cover an area of approximately 2994 square kilometers after 10 years.
Step-by-step explanation:
A forest covers an area of 5000 square kilometers. Each year, the area of the forest decreases by 5%. We want to determine its area after 10 years.
We can write an exponential function to represent the situation. The standard exponential function is given by:
[tex]\displaystyle f(x) = a(r)^x[/tex]
Where a is the initial value, r is the rate, and x is the time that has passed (in this case in years).
Since the original area is 5000 square kilometers, let a = 5000.
Each year, the area decreases by 5%. In other words, for each subsequent year, the forest's area will be 100% - 5% = 95% = 0.95 of its previous year. Hence, r = 0.95.
Thus, our function is:
[tex]\displaystyle f(x) = 5000(0.95)^x[/tex]
Then after 10 years (x = 10), the area will be:
[tex]\displaystyle f(10) = 5000(0.95)^{(10)}= 2993.6846...\approx 2994\text{ km}^2[/tex]
In conclusion, the forest will cover an area of approximately 2994 square kilometers after 10 years.
Tutorial Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers 1 4 of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?
Answer:
$150.60
Step-by-step explanation:
$984.20-$381.80= $602.40
Take $602.40 and divide by 4 which equals $150.60 which is the 1/4 $ Charlie has in his savings account.
13. Write
y = 2x^2 -12x+16 in vertex form.
Please show work if possible so I know how to do it
First off, we factor out the expression:
[tex] \displaystyle \large{y = 2 {x}^{2} - 12x + 16} \\ \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }[/tex]
In the bracket, separate 8 out of the expression.
[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\ \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}[/tex]
In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:
[tex] \displaystyle \large{ {(x - 3)}^{2} = {x}^{2} - 6x + 9}[/tex]
So we add +9 in x^2-6x.
[tex] \displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9) + 8]}[/tex]
Convert the expression in the small bracket to perfect square.
[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8]}[/tex]
Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.
[tex] \displaystyle \large{y = 2[ {(x - 3)}^{2} + 8 - 9]} \\ \displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]}[/tex]
Then we distribute 2 in.
[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ [/tex]
[tex]\displaystyle \large{y = 2[ {(x - 3)}^{2} - 1]} \\ \displaystyle \large{y = [2 \times {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2} - 2 }[/tex]
Remember that negative multiply positive = negative.
Hence the vertex form is y = 2(x-3)^2-2 or first choice.
An arithmetic sequence a starts 2, 5, . . .
Answer:
8,11,14,17,20
Step-by-step explanation:
this is because it started with adding three to the number, so it continues like that
Help anyone can help me do this question,I will mark brainlest.
Your answer is in the attachment .
Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!
Write a multiplication expression without exponents that is equivalent to 3^3.
Hi! I'm happy to help!
This expression is an exponent, or repeated multiplication. 3^3 is three multiplied by itself (3), 3 times, or 3×3×3
So, our non-exponent expression will be 3×3×3.
I hope this was helpful, keep learning! :D
Sarah has 5 peppermints. Chase has p fewer peppermints than Sarah. Write an expression that shows how many peppermints Chase has.
Subtract.
3- 11 - (-6)
Enter your answer in the box.
Answer:
-2
Step-by-step explanation:
that is the answer
yep
Answer:
-2 is correct
Step-by-step explanation:
Determine the slope of a line that has points (2, 1) and (3, -10)
Step-by-step explanation:
Slope of a line = y2-y1 /x2-x1
Points=(2,1),(3,-10)
-10-1/3-2
-11/1
Therefore, the gradient of the line is -11/1
Solve for c:
9x + 72°
4x + 112°
If AB=2x BC=x+20 and AC=50 what is the value of x
Answer:
x = 10
Step-by-step explanation:
AC = AB + BC
Substitute the values for the line segments:
50 = (2x) + (x + 20)
50 = 2x + x + 20
Combine like terms:
50 = 3x + 20
Subtract 20 from both sides:
30 = 3x
Divide both sides by 3:
10 = x
Check your work:
50 = 2(10) + 10 + 20
50 = 20 + 30
50 = 50
Correct!
Find the sum: -7.5 + (-7.6)
Help me pls someone!!
Answer:
-15.1
Step-by-step explanation:
Two negative numbers add the same way as positive numbers, so it is -(7.5 + 7.6) or -15.1.
Insert grouping symbols to make each number sentence true 3+8-2*5=45
Insert grouping symbols to make each number sentence true 3+8-2*5=45
Answer:
3+2+8×5
Shawn says that 3.22 is a rational number. Leah says 3.22 is a repeating decimal. Who is correct and why?
Answer:
Hi, There! Leah Is Correct
Step-by-step explanation:
A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all.
____________________________________________________________
-Darkspirit-
Answer:
Both are correct.
Step-by-step explanation:
Repeating decimals are rational.
The midpoint m of gh has coordinates ( -5, -4) point h has coordinates (-4, -7) find the coordinates of point g
Answer:
Step-by-step explanation:
The midpoint formula is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:
[tex](-5,-4)=(\frac{-4+x_2}{2},\frac{-7+y_2}{2})[/tex] and we will solve for the missing values one at a time. x first:
[tex]-5=\frac{-4+x_2}{2}[/tex] and
-10 = -4 + x₂ so
-6 = x₂ and do the same for y:
[tex]-4=\frac{-7+y_2}{2}[/tex] and
-8 = -7 + y₂ so
-1 = y₂
Thus, the coordinates of point g are (-6, -1)
Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2
Answer:
The answer is n+2.Step-by-step explanation:
I hope U like my answer and my answer helped U....Answer:
n+2 represemts the number of sides in the polygon for the nth member of the sequence
need help on calculus
Answer: 3
Step-by-step explanation:
Which of the following is the equation for the line of symmetry in this figure?
What number would that be??
what is 15% of 71.40$
Answer:
10.71
Step-by-step explanation:
0.15*71.40
an appliance repair p person charges 55 per trip plus 15 per hour for her labor. the cost of fixing a stove was 92.50. write and solve an equation to find how many hours it took to repair the stove
(92.50-55)/15 =2.5 hours
Step-by-step explanation:
92.5 (total) -55 (trip charge) = 37.50(hour charge)
37.50(hour charge)/15{per hour charge)=2.5(hours)