Solve:
3/5 (15x - 20) = -6x + 4(x - 6)
Answers
Answer:
x = -12/7
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}\left(15x-20\right)=-6x+4\left(x-6\right)[/tex]
[tex]9x-12=-6x+4x-24[/tex]
[tex]9x-12=-2x-24[/tex]
[tex]9x-12+12=-2x-24+12[/tex]
[tex]9x=-2x-12[/tex]
[tex]9x+2x=-2x-12+2x[/tex]
[tex]11x=-12[/tex]
[tex]\frac{11x}{11}=\frac{-12}{11}[/tex]
[tex]x=-\frac{12}{11}[/tex] or [tex]x=-1.090[/tex]
Related Questions
What is the scale factor (k) of the dilation if C is (-6,9) and C' is (-2,3)?
Answers
Answer:
Step-by-step explanation:
Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k
For the x coordinates:
C' = kC
x' = kx
-2 = k(-6)
-2 = -6k
Divide both sides by -6
k = -2/-6
k = 1/3
For the y-coordinates:
y' = ky
3 = 9k
Divide both sides by 9:
3/9 = 9k/9
1/3 = k
k = 1/3
Hence the scale factor of the dilation is 1/3
Answer:
The scale factor from C' to C is
3
But the scale factor from C to C' (the one you may have asked for in the question) is
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
What we already know is that we have line segments C and C' and we know their lengths.
C = (-6, 9)
C' = (-2, 3)
So the scale factor from C' to C can be easily known if we simply use the rules of division
-6 ÷ -2
and
9 ÷ 3
They both are equal to the outcome, 3.
So we now know that the scale factor from C' to C is 3.
But what about C to C'??
Yes we still have to do division, BUT (you may have guessed it already but), we must switch the positions that the numbers for dividend and divisor were.
-2 ÷ -6 =
0.33333333... or [tex]\frac{1}{3}[/tex]
3 ÷ 9 =
0.33333333... or [tex]\frac{1}{3}[/tex]
So we can decisively conclude that the scale factor of C to C' is [tex]\frac{1}{3}[/tex]
I hope you find my answer helpful!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Robert was using a bucket that holds 243.5 ounces (oz) of water when full. The bucket loses 0.3 oz of water per second. After 20 seconds, Robert noticed the leak and plugged the leak. How much water, in ounces, remained in the bucket?
-Note from user: Hello! Could you please help me? I want to learn how to do this in the future so it would be appreciated if u add an explanation to your answer, thanks and please respond before 11:59)
Answers
Answer:
237.5
Step-by-step explanation:
Since the bucket loses 0.3 oz of water per second, and 20 secs passed, you would have to multiply 0.3 and 20 to find out how much water leaked. And 0.3x20=6, so then, we would have to subtract 234.5 and 6 to find out how much water there is left in the bucket. 234.5-6=237.5
So 237.5 is your answer
The school cafeteria sells three different types of sandwiches: chicken, turkey,
and roast beef. Chicken sandwiches sell for $3, turkey sandwiches sell for
$3.50, and roast beef sandwiches sell for $4. The cafeteria makes 400
sandwiches in total, and, if all sandwiches are sold, the cafeteria will take in
$1375. If the cafeteria makes the same number of chicken sandwiches as it
does turkey sandwiches, how many of each type of sandwich does the school
make? (Hint: Write one equation for the number of sandwiches, one equation
for to amount of money all the sandwiches cost, and an equation that show the
number of chicken and turkey sandwiches are equal.)
No
Answers
Answer:
Number of chicken sandwiches = 150
Number of turkey sandwiches = 150
Number of roast beef sandwiches= 100
Step-by-step explanation:
We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.
Let chicken be x, turkey be y and roast beef be z.
We are told they make 400 sandwiches in total.
Thus;
x + y + z = 400
However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.
Thus, x = y
Thus;
Total is now;
x + x + z = 400
2x + z = 400 - - - (eq 1)
Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.
Thus;
3x + 3.5y + 4z = 1375
Since x = y. Thus;
3x + 3.5x + 4z = 1375
6.5x + 4z = 1375 - - - (eq 2)
Let's make z the subject in eq 1.
Thus;
z = 400 - 2x - - - (eq 3)
Putting 400 - 2x for z in eq(2) gives us;
6.5x + 4(400 - 2x) = 1375
6.5x + 1600 - 8x = 1375
1600 - 1375 = 8x - 6.5x
225 = 1.5x
x = 225/1.5
x = 150
Putting 150 for x in eq 3 gives;
z = 400 - 2(150)
z = 400 - 300
z = 100
Since x = y. Then y = 150
what do i put? meh need help
Answers
Answer:
2/2 = 1 i think pls check
Step-by-step explanation:
4 divided by 2 = 2
and 6 divided by 3 = 2
so yea 2/2
and 2/2 = 1
is the perimeter 70?
Answers
Answer:
Step-by-step explanation:
AC = 8 + 15 = 23
C to the tangent point of BC = 15 (tangents are equal when they come from the same point.
B to the tangent point of BC = 12 (same reason).
BC = 15 + 12 = 27
By a similar argument BA = 12 + 8 = 20
So add them together. 20 + 27 + 23 = 70 I think.
You are absolutely right. Or we both are wrong.
My teacher put no’s and yes’s
Answers
Answer:
I'm sorry can't help but edit it to a question
Step-by-step explanation:
:) ello
Find the product.
[tex](b-9)(b+9)[/tex]
Answers
The length of a rectangle is 6 inches longer than the width. The perimeter of the rectangle is eight times the width. What is the width of the rectangle?
Answers
Perimeter = L + W
Substitute eqn 1 into 2
Perimeter = 2W + 6
Perimeter also = 8w
8w = 2W + 6
6w = 6
W = 1
Answer:
The width is 3 inches.
Step-by-step explanation:
First, let's identify our variables.
L=Length
W=Width
P=Perimeter
P=2W+2L
We know that L=W+6
We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:
8W=2W+2(w+6)
If you go through all the steps to isolate the variable W, you'll end up with W=3
A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.50 per slice of pizza. Aaliyah purchased a membership to this pizza shop. How much would Aaliyah have to pay the pizza shop if she bought 6 slices of pizza this month? What would be the monthly cost for x slices of pizza?
Answers
$34
$26.5
Step-by-step explanation:
Membership cost per month = $25
Price of a slice of pizza for members= $1.50
How much would Aaliyah have
to pay the pizza shop if she bought 6 slices of pizza this month
Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza
= $25 + $1.50(6)
= $25 + $9
= $34
What would be the
monthly cost for a slices of pizza
Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza
= $25 + $1.5
= $26.5
Answer:
$1.50x6=$9+$25=$34
Step-by-step explanation:
or if its multiply 1.50 x 6 = 9 x 25 =225
(14, -8 ) and (7, -6)
Answers
Answer:
-0.28
Step-by-step explanation:
(-6)-(-8)=2.
7-14=-7
2/-7=-0.28
barbara made cookes for her sons football team.she made 3 cookes for each player there are 23 players how many cookes she make altogether
Answers
True or False: The following pair of ratios forms a proportion.
1/3 and 18/8
Select one:
O True
O False
Answers
Answer:
False because for two fractions to be proportional they must be equivalent
PLZ need serious HELP! No fake or dumb answers
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A. (5,-7)
B. (5,13)
C. (-5,-10)
D. (-5,-7)
Answers
Answer:
D) (-5, - 7)
Step-by-step explanation:
Because both lines intersect, they must share a point (have same x and y coordinates).
[tex]2x + 3 = - 4x - 27[/tex]
[tex]2x = - 4x - 30[/tex]
[tex]6x = - 30[/tex]
[tex]x = - 5[/tex]
Substite x for - 5 in any of the equations to find the y coordinate.
[tex]y = 2( - 5) + 3 [/tex]
[tex]y = - 10 + 3[/tex]
[tex]y = - 7[/tex]
The x coordinate for the intersection point is - 5 and the y coordinate is - 7. The intersection point is (-5, - 7)
What is the area of the triangle?
Answers
Answer:
63
Step-by-step explanation:
If the slope of the line is -4, find y when (2,y) and (3,8).
Answers
Answer:
y=12
Step-by-step explanation:
8=-4*3 +b
8=-12=b
20=b
y=-4x=20
-4*2 is -8+20 is 12
(2,12)
let g(x) = -x^2 + x. Find g(-10)
Answers
Answer:
g(-10) = 90
Step-by-step explanation:
g(x) = -x^2 + x
= -(-10^2) +(-10)
=10^2-10
=100-10
=90
Hope it helped.
what is 4 divided by 3 answer as fraction?
Answers
Answer:
4/3 as an improper fraction or 1 1/3 as a mixed number
Step-by-step explanation:
4 divided by 3= 4/3 =1 1/3
The 4 divided by 3 answers as a fraction is 4/3 and 4 is in the numerator and 3 is in the denominator.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
The expression in words is 4 divided by 3 answers as a fraction.
As we know, the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Here we have to division:
= 4 ÷ 3
or
= 4/3
4 is in the numerator and 3 is in the denominator.
Thus, the 4 divided by 3 answers as a fraction is 4/3 and 4 is in the numerator and 3 is in the denominator.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Which equation applies the associative property of multiplication?
(−12⋅47)+(−12⋅23)=−12⋅(47+23)
−65−(53−14)=(−65−53)−14
(−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
89⋅74⋅(−58)=89⋅(−58)⋅74
Answers
Answer:
the 2nd one
Step-by-step explanation:
Answer:
The answer is C. (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
Step-by-step explanation:
I took the K12 test
What can diversification help you deal with?
Answers
Answer:
Reduces risk by spreading money among a wide array of investments. When a company combines the funds of many different investors and then invests that money in a diversified portfolio of stocks and bonds. Included is bonds, stocks, real estate, speculative investments.
Step-by-step explanation:
Given the function f (x) = 8x2 - 14x – 10, find f -2).
Answers
Remember from now on ;
If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.
Got it ?
Now Let's do it .....
[tex]f( x) = 8 {x}^{2} - 14x - 10 [/tex]
[tex]f( - 2) = 8({ - 2})^{2} - 14( - 2) - 10 \\ [/tex]
[tex]f( - 2) = 8 \times 4 + 28 - 10[/tex]
[tex]f( - 2) = 32 + 28 - 10[/tex]
[tex]f( - 2) = 60 - 10[/tex]
[tex]f( - 2) = 50[/tex]
_________________________________
And we're done...
♥️♥️♥️♥️♥️
complete the table and then graph the function .
Answers
Answer:
1,2,3,4,5
Step-by-step explanation:
Misty must pack 365 candles into 15 boxes. Each box must contain an equal number of candles. How many candles does she have left over? (use long division to find the remainder)
A) 1
B) 3
C) 5
D) 7
Answers
The answer is 5 because you can fit 365 into 15 24 times and then that would equal 360 and then you have 5 left over.
15x24=360 365
- 360
____
5
Answer:
C
Step-by-step explanation:
10 can go into 365 10 times leaving 5 left over.
i wanna sleep
But i cant cause of this homework
Answers
Answer:
I KNOW SAMEEEEEEE IM SORRY XXX
Step-by-step explanation:
Sam has $40. He buys a book for $12.99 and a puzzle for $15.49.
Which equations can be used to find how much money Sam has left?
Choose all that apply
Answers
Answer:
11.52
Step-by-step explanation:
$12.99 + $15.49 - $40 = 11.52
I really need help with this can I please get some help
Answers
Answer:
no thxxxx
Step-by-step explanation:
HELP ASAPPPPP PLEASE
Answers
Answer:
13. -200, balance on car loans
14. 8, monthly payments
15. linear eqn, y=ax+b
16.values of y will decrease.(although i think the graph will remain linear)
17. as the monthly payment decrease so does the balance on car loan decrease.
Solve the following system for all solutions:
(x - 1)^2 + (y + 3)^2 = 13
x + y = -3
Answers
Answer:
( -4, -1 ) and ( -9, - 6)Step-by-step explanation:
Given(x - 1)^2 + (y + 3)^2 = 13 x + y = -3SolutionFrom the second equation we get
x = - y - 3Substituting x in the first equation
(- y - 3 - 1)^2 + (y + 3)^2 = 13(-y - 4)^2 + (y + 3)^2 = 13(y+4)^2 + (y+3)^2 = 13y^2 + 8y + 16 + y^2 + 6y + 9 = 132y^2 + 14y + 12 = 0y^2 +7y +6 = 0(y+1)(y+6) = 0y = - 1y = - 6Then
x = -4x = - 9Answer
( -4, -1 ) and ( -9, - 6)For each problem, select the answer from the two choices.
1. The value of 25 · (8.5) is:
a. More than 205
b. Less than 205
2. The value of (9.93) · (0.984) is:
a. More than 10
b. Less than 10
3. The value of (0.24) · (0.67) is:
a. More than 0.2
b. Less than 0.2
Answers
Answer:
a. More than 20b. Less than 10b. Less than 0.2Step-by-step explanation:
212.59.70.1608Hope it helped you
Answer:
1. [A] More than 205
2. [B] less than 10
3. [B] less than 0.2
Step-by-step explanation:
1. The value of 25 · (8.5) is:
a. More than 205
b. Less than 205
Solve:
25 · (8.5) = 212.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2. The value of (9.93) · (0.984) is:
a. More than 10
b. Less than 10
(9.93) · (0.984) = 9.77112
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3. The value of (0.24) · (0.67) is:
a. More than 0.2
b. Less than 0.2
(0.24) · (0.67) = 0.1608
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
can any one pls help me with 14,15 pls tysm! have a great day :D
Answers
Answer:
14.$403.46 or $403.50(rounded)
15.11.55 or 11.60(rounded)
Step-by-step explanation:
Commission is when you get a percent added to the amount of money you have already so with that being said-397.50+1.5%
She uses 24% so with that being said to find the amount left you have to subtract the percent from the original amount-15.2-24%
-2(4x - 2) < - 8x + 4
Answers
Answer:
Both sides are equal.
So less than symbol can't be use in this case.
Step-by-step explanation:
This problem has no solution until you change any elements correctly.
thanks..