1/3(x+6)=2/3(x-9)
multi step equation
Answers
[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]
Related Questions
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?
A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.
B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.
C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.
D.
There is not enough information
Answers
Answer:
Hello again! Fellow Connexus user? Because I just had this on my Honors Algebra 1 test today. Anyways the answer is: A. x + y = 126 and 2.25x + 1.50y = 225.75; 49 Hot Dogs and 77 Sodas.
Step By Step Explanation:
To verify just use the substitution method to solve the equations x+y=126 and 2.25x + 1.50y = 225.75 then you'll get your x (Number of Hotdogs) and y (Number of Sodas)
Hope this helps!
The required equations are use to solve this problem;
[tex]x + y =126[/tex]
[tex]2.25x + 1.50y = 223.75[/tex]
There are x = 49 hot dogs, and y = 77 sodas were sold.
Given that,
Each hot dog costs $2.25 and each soda costs $1.50.
At the end of the night, you made a total of $225.75.
You sold a total of 126 hot dogs and sodas combined.
We have to determine,
What equations did you use to solve this.
And How many hot dogs were sold and how many sodas were sold.
According to the question,
Let, The x represent the number of hot dogs,
And y represent the number of sodas.
Then,
You sold a total of 126 hot dogs and sodas combined.
Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.
[tex]x + y =126[/tex]
And Each hot dog costs $2.25 and each soda costs $1.50.
At the end of the night, you made a total of $225.75.
Then,
Cost of each hot dogs + cost of each soda = total earning end of the night
[tex]2.25x + 1.50y = 223.75[/tex]
On solving both the equation,
[tex]x + y = 126\\\\x = 126-y[/tex]
Substitute the value of x in the equation 2,
[tex]=2.25(126-y) + 1.50y = 225.75\\\\= 283.5 -2.25y + 1.50y = 225.75\\\\= - 0.75 y = 225.75 - 283.5\\\\= - 0.75y = -57.75\\\\= y = \dfrac{-57.75}{-0.75}\\\\= y = 77[/tex]
Then,
Substitute the value of y in the equation 1,
[tex]x + y = 126\\\\x + 77 = 126\\\\x = 126-77\\\\x = 49[/tex]
Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.
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8. There are 18 trumpets in a music room. These trumpets will be placed in 3 equal rows. Which number sentence can be used to find the number of trumpets in each row?
Answers
Answer:
18÷3=6
Step-by-step explanation:
18 trumpets have to be DIVIDED into 3 rows so you would divide 18 by three to get 6 trumpets in each row.
A small boat leaves a port town and travels due north for 7.4 miles and then turns due east for 3.6 miles
and stops. If the boat's captain then turns back to town. a) how far does the boat travel and b) along
what bearing would the boat have to travel from its stopped position?
Answers
11 miles far does the boat travel
Step-by-step explanation:
hope it helps
The total distance travelled will be 22 miles and the bearing will be 60.89° .
It is given that a boat travels from port town to north for 7.4 miles and then east for 3.6 miles and stops at destination.
We have to find out the total distance travelled and bearing from stopped position.
What are bearings ?
A bearing is the angle in degrees measured clockwise from north i.e., 30° from north.
As per the question ;
Boat travels from port town to north for 7.4 miles and then east for 3.6 miles and it then stops at destination.
So ;
a)
Total distance travelled from port town to destination is ;
= 7.4 miles + 3.6 miles
= 11 miles
And
If boat's captain turns back to town , then total distance will be ;
= 11 + 11
= 22 miles
b)
We know that ;
cos θ = B/H
The bearing would be ;
cos θ = [tex]\frac{3.6}{7.4}[/tex]
cos θ = 0.486
θ = [tex]cos^{-1}[/tex] (0.486)
θ = 60.89°
Thus , the total distance travelled will be 22 miles and the bearing will be 60.89° .
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Solve the exponential equation by the method of relating the bases, first rewriting the equation in the form
Answers
Answer:
x = 1/3
Step-by-step explanation:
Both bases can be written as powers of 6.
36^x = (1/6)^(x-1) . . . . . . given
(6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6
6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents
2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base
3x = 1 . . . . . . . add x
x = 1/3 . . . . . divide by 3
Directions: Given the point and slope, write the equation of the line. 3. (1,-7); slope = -1
Answers
Answer:
y=-1x-6
Step-by-step explanation:
HELP ME OUT PLEASE!!!
Determine which graph shows y as a function of x.
Answers
PLEASE HELP I WILL GIVE BRAINLESS!!!!) Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table.
Answers
Answer:
Brett, Riley, Ellema, Jennifer, Kamal, Felipe
Step-by-step explanation:
You have put their scores least to greatest, -7<-5<-1<0<1<2<3
What is the slope of the line that passes through the points (6-8) and (10,-8)?
Answers
Answer:
The slope of the line that passes through the points would be 0
Step-by-step explanation:
Lets use the formula : y2-y1/x2-x1
In this case lets let y2 be -8 and y1 be -8
And lets let x2 be 6 and x1 be 10, that would look like..
-8-(-8)/6-10
which equals...
0/-4 = 0
We know that the slope of the line is 0
Solve x2 + 5x – 3 = 0 using the quadratic formula.
Solve (2x – 1)2 = 8 using the quadratic formula.
A) x = –1∕2 + , x = –1∕2 –
B) x = 1∕2 + , x = 1∕2 –
C) x = 1∕2
D) x = –1∕2
Answers
Answer:
d
Step-by-step explanation:
distribute two through the parentheses
=4x-2
move the constant to the right side and change its sign
=4x=8+2
=4x=10
divide both sides by 4
x=5/2
write me 2 equivalent fractions of 3/4=_=_
Answers
Answer:
6/8 and 12/16
Step-by-step explanation:
Important: 3/4 looks like a fraction, but it is actually an improper fraction.
There is an infinity number of equivalent fractions to 3/4. To find an equivalent fraction to 3/4 , or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:
By multiplying the original fraction by 2, we get:
3x2/3x2=6/8
List of Equivalent Fractions of 3/4:
3/4, 6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48, 39/52, 42/56, 45/60, 48/64, 51/68, 54/72, 57/76, 60/80 ...
what percent of 75cm is 5cm
Answers
Answer:
6.67%
Step-by-step explanation:
5 / 75 = 0.066667
(0.066667)(100) = 6.67%
Which of the following have a sum of 0? (Pick 2) *
1:The football team gained 10 yards on the first play, gained 10 yards on the second play, and lost 10 yards on the third play. What was the overall change in yardage?
2: While playing the integer game, Sam pulled the following cards: 8, 4, 5, -6, -8, -3. What is the sum of Sam's hand?
3: -15 - 8 + 12 + 11
4: 6 + (-5) - 7 + (-4) + (-4)
Answers
Answer:
The answer is number 3.
Step-by-step explanation:
-15 - 8 = -23
12 + 11 = 23
When you subtract -23 from 23 you have a sum of 0
Therefore the answer is 0
please someone help me this is the third time i have had to post this question bc of bots
Answers
Answer: It,ll increase
Step-by-step explanation:
Answer:
Add all of the numbers together then multipy them by 25
Step-by-step explanation:
35X25=875
Help me please I don’t know what to do
Answers
Answer: A. positive relationship
Step-by-step explanation:
The scatter plot seems to be slanting up from the left to the right.
Correct me if I am incorrect.
16. Use the vertical line test to determine whether the relation is a function.
Answers
Answer:
neither of them are
Step-by-step explanation:
Plz Help 100 points and brainlyest if correct
Use the chart to answer the questions.
Answers
ASAP ASAP!! HELP!! A supermarket needs to display 64 boxes of detergent.
The boxes need to be stacked with the same number of boxes in each row.
There should be at least 3 rows with at least 4 boxes in each row.
Choose the correct answers from the drop-down boxes to complete all the ways the boxes of detergent can be stacked.
Choose...
rows with 16 boxes in each row;
8 rows with
Choose...
boxes in each row;
16 rows with
Choose...
boxes in each row.
Answers
Answer:
Its the first one
Step-by-step explanation:
4x4=16 8x2=16 so its the first
These three lines should say:
4 rows with 16 boxes in each row
8 rows with 8 boxes in each row
16 rows with 4 boxes in each row
40 in^2 to cm^2
Have to find the cm
Answers
Answer:
101.6cm²
Step-by-step explanation:
1 inch = 2.54cm
that means:
40in² × 2.54 = 101.6cm²
Mary had 60$ and spent 3/4 on a coat. plus she brought a skirt with 1/2 she had left . how much do she have left?
Answers
60 - 45 = $15 left
1/2 of $15 = $7.50 for the skirt
15 - 7.50 = $7.50 left
how do you convert a whole number to a fraction?
Answers
Answer:
Step-by-step explanation:
Example 1: Changing the whole number 5 into a fraction.
Take the whole number (5), add a line below it (/), then add a 1 to the denominator.
5 = 5/1
Example 2: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 2 add a line below it (/), then add a 2 to the denominator.
5 = (5*2)/2 = 10/2
***This can be reduced to 5/1***
Example 3: Changing the whole number 5 into a fraction.
Take the whole number (5), multiply it by 3 add a line below it (/), then add a 3 to the denominator.
5 = (5*3)/3 = 15/3
***This can also be reduced to 5/1***
If you follow the pattern, you will realize all whole numbers are fractions already.
They are fractions with a denominator of 1. This fraction can be manipulated with all of the same standard rules you would traditionally use with fractions, even when the denominator isn’t shown.
A fraction is simply a way to describe portions of a whole. The denominator simply tells you how many pieces to break the whole into. When the denominator is 1, you are breaking the whole into one piece (or not breaking it apart at all.
I hope this helps.
A county has constructed a conical building to store sand. The cone has a height of 101 m and a diameter of 330 m. Find the volume of this building to the nearest hundredth. Use 3.14 for π.
Answers
Answer:
2878045.500 cubed metres
Step-by-step explanation:
volume = 1/3* pie* r*r*h
= 1/3 *3.14*165*165*101
=2878045.5 cubed metres
i hope it's helpful
You buy 3.9 pounds of trail mix. The mix
costs $2.78 per pound. What is the total
price for the trail mix?
Answers
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
What is -6(-3+5r)=-5-7r
Answers
Answer:
r = 1
Step-by-step explanation:
Use the distributive property to multiply −6 by −3+5r.
18−30r=−5−7r
Add 7r to both sides.
18−30r+7r=−5
Add −30r and 7r to get −23r.
18−23r=−5
Subtract 18 from both sides.
−23r=−5−18
Subtract 18 from −5 to get −23.
−23r=−23
Divide both sides by −23.
r=−23/−23
Divide −23 by −23 to get 1.
r=1
HELp PLeaSE ‼️‼️URGENT
Find the equation of the line of best fit for the points (-4, 10).(-1, 5), (2, -1) (3, (5, --- 7). O
A. y = -2x + 2
B. y = 2x - 2
C. y = 2x - 0.98
D. y = -2x - 0.98
THANKS ^_^ ! ! !
Answers
One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?
Answers
Answer:
Step-by-step explanation:
J
B = 3J
T = J + 5
J + 3J + J + 5 = 60
5J = 55
J = $11
B = $33
T = $16
The amount earned by Jim, Bill and Tom is equal to [tex]\boldsymbol{\$ 11},\boldsymbol{\$ 33},\boldsymbol{\$ 16}[/tex].
"Important information"Let .
The amount earned by Jim be [tex]\boldsymbol{x}[/tex].
Amount earned by Bill [tex]=\boldsymbol{3x}[/tex]
Amount earned by Tom [tex]=\boldsymbol{x+5}[/tex]
Total amount earned by all [tex]=\boldsymbol{\$ 60}[/tex][tex]x+3x+x+5=60\\5x=55\\x=11[/tex]
So,
Amount earned by Jim [tex]=\boldsymbol{\$ 11}[/tex]
Amount earned by Bill [tex]=3(11)[/tex] [tex]=\boldsymbol{\$ 33}[/tex]
Amount earned by Tom [tex]=11+5[/tex] [tex]=\boldsymbol{\$ 16}[/tex]
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Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a
combined total of 25 hours, and together they charged a total of $1425. How long did each mechanic work?
Answers
Answer:
First mechanic 10 hours, Second is 15 hours
Step-by-step explanation:
x + y = 25, so y = 25 - x
75x + 45y = 1425
Substitute in the first equation
75x + 45(25 - x) = 1425
75x + 1125 - 45x = 1425
30x = 300
x = 10
Therefore, y = 15
Answer:
they both worked
8 hours
what's a real number?
Answers
Answer:
Real Numbers are numerical values that can represent distance on a line. An example of it being one is 15 and an example of it NOT being one is ∞.
The score on a test are normally distributed with a Mean of 140 and a standard deviation of 28 find the score of that is one and a half standard deviation 140 standard deviation 28 score is one and a half standard deviation
Answers
The score that is one and a half standard deviation is 182.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean, \sigma\ is\ standard \ deviation[/tex]
Given that:
μ = 140, σ = 28. For a z score of 1.5(one and a half):
[tex]1.5=\frac{x-140}{28} \\\\x-140=42\\\\x = 182[/tex]
The score that is one and a half standard deviation is 182.
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The value of the digit 2 in 425.3 is *
Answers
Answer:
20 which is twenty
Step-by-step explanation:
searched it up on chrome
which cost the most per ounce 60 ounces of peanutt butter for 5.40,28 ounces for 2.24 or 16 ounces for 1.1.76
Answers
Answer:
The 16 ounces at 1.76.
Step-by-step explanation:
Divide total cost by the quantity to get cost per unit.
Ounces Cost Cost/Ounce
60 5.40 0.09
28 2.24 0.08
16 1.76 0.11