To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
How to write an equation in the subject of a variable?To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.
The expression given in the problem is,
[tex]p=6q +7[/tex]
This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,
[tex]p+7=6q +7-7\\p+7=6q[/tex]
Divide both side of equation with number 6.
[tex]\dfrac{p+7}{6}=q[/tex]
Rewrite the equation as,
[tex]q=\dfrac{p+7}{6}[/tex]
Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
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determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)
Answer:
C. (2, 7)
Step-by-step explanation:
It is fairly easy to try the offered points in the equations to see which works.
A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3
__
B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6
__
C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3
(2, 7) is a solution to the system of equations.
_____
If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.
2x -y = -3
3x -y = -1
Subtracting the first from the second gives ...
(3x -y) -(2x -y) = (-1) -(-3)
x = 2 . . . . . matches choice C
Stephanie has a -$40 balance on her credit card. She makes two additional charges to pay $20 for gas and $25 for parking. Then she makes a credit card payment of $30. What is her remaining balance?
nineteen students named lacrosse as there favorite sport. explain how to use the circle graph for the total number of students? 20% chosr swimming 42% chose volleyball and 38% chose laccrosse
The total number of students is 50
The number of students that named lacrosse as their favorite sport is given as:
[tex]Lacrosse = 19[/tex]
From the circle graph, 38% chose lacrosse.
So, the proportion of students that represent lacrosse is:
[tex]Lacrosse = 38\% \times Students[/tex]
Substitute 19 for lacrosse
[tex]19= 38\% \times Students[/tex]
Multiply both sides by 100
[tex]1900 = 38 \times Students[/tex]
Divide both sides by 38
[tex]50 = Students[/tex]
Rewrite as:
[tex]Students = 50[/tex]
Hence, the total number of students is 50
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There were 264 pieces of broccoli and 60% of them were covered in cheese how many of them were covered in cheese
Answer:
158.4 pieces of brocoli were covered in cheese
Step-by-step explanation:
find the perimeter of a regular pentagon with each side measuring 6cm.
Answer:
30cm
Step-by-step explanation:
Perimeter of a Pentagon=5L
P=5×6cm=30cm
Is that the right answer plzzzz help meee
Answer: Yes
Step-by-step explanation:
Yes area should be right because you are finidng how much it covers which would be area. A way I used to remember it was you looking for the AREA it covers so that awnser is area! Hope that helped!
A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810,000 b. 3,276,000 c. 6,500,000 d. 6,760,000 Please select the best answer from the choices provided A B C D.
The number of different possible passwords possible is 6760000
This is a question is the application of permutation. Permutation has to do with the arrangement.If a computer consists of 6 character computer password that is made up of 4 numbers followed by 2 letters, the total digits and letters present are 6The number of ways the passwords are possible is 10^4 * 26^2
10^4 * 26^2= 10000 * 676
10^4 * 26^2 = 6760000
Hence the number of different possible passwords possible is 6760000
Learn more on permutation here: https://brainly.com/question/25500566
Answer:
its D
Step-by-step explanation:
Evaluate the determinate:
I -6 -6 1 I
I 3 -5 -2 I
I 4 3 -3 I
Please show all work, I give Brainliest.! :)
Answer:
103
Step-by-step explanation:
detailed explanation is in the diagram above
Which table represents the same proportional relationship as the equation Y= 36x?
Answer:
C
Step-by-step explanation:
It does what the equation says. It multiplies x by 36
I hope this helps!
A certain tiger shark is 55 cm long at birth and grows 2.5 cm / year. A certain hammerhead shark is 25 cm long at birth and grows 5 cm/year. When will the sharks be equal in length?
Let x = time in years
Let y = length of the sea creatures
The equation for the length of the tiger shark is
[ Select ]
. The equation for the length of the spiny dogfish hammerhead shark is
[ Select ]
. Solving with elimination, the sharks will be equal in length when
[ Select ]
years have passed.
Answer:
Step-by-step explanation:
equation for tiger shark:
for each additional year, it grows by 2.5 cm so that would be shown as 2.5x. also it starts at 55 so you would have to add 55 to that 2.5x.
the equation would be y = 2.5x + 55
equation for hammerhead:
do the same process with the other numbers. this would be
y = 5x + 25
solve with elimination:
subtract the two equations, which would eliminate the y variable
y = 5x + 25
- (y = 2.5x + 55)
you get
0 = 2.5x - 30
solve that for x
2.5x = 30
x = 12 years
so the years that have passed is 12. to find the length, plug in x = 12 into one of the equations:
y = 5x + 25 becomes y = 5 * 12 + 25 = 60 + 25 = 85
so they will be 85 cm long each.
Ethan buys a new phone. It cost 75$. He will pay for this on his 1st bill.
His phone plan charges 0.06 dollars per minute on the phone.
'He has $90 to spend on his 1st bill. How long can he be on his phone to not go over his budget?
Answer:
250 minutes
Step-by-step explanation:
90-75=15
15/0.06=250
Answer:
x = 250 minutes
Step-by-step explanation:
The equation for this problem can be set up as follows-
Y = 0.06x+75
y = total phone bill
x= number of minutes on his phone
If Ethan can spend a total of $90 maximum, then y = 90
90 = 0.06x +75 solve for X to determine how many minutes he can be on his phone to reach a $90 total.
x = 250 minutes
ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap
Answer:
mC=mA - base angles of an isosceles triangle
mA=68
Multiply and combine like terms to determine the product of these polynomials:
(2x + 3)(5x − 6)
Answer:
10x^2+3x-18
Step-by-step explanation:
I NEED HELP PLSSSSSSSSSSSSSSSSS
Answer:
#1 and #3
Step-by-step explanation:
what is the constant for 1000z + 800y
Answer:
No
Step-by-step explanation: they're is no constants they are both coeffitient because they are both numbers infront of the variable
Which of the following is a true statement of the figure?
Answer:
1st one is correct
Step-by-step explanation:
please mark my answer in brainlist plz
-3 * a number j equals -120
Answer:
j = 40
Step-by-step explanation:
"-3 * a number " means -3j
"equals -120" means = -120
-3j = -120
j = 40
Which ratio is equivalent to the rate
8 meters
1 second
?
The ratio as a unit rate is 0.8 meters per second.
What is a Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
The given statement is "8 meters in 10 seconds".
It can be written as:
= 8/10 meters per second
= 0.8 meters per second
Thus, the ratio as a unit rate is 0.8 meters per second.
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The Question attached here seems to be incomplete, the complete Question is
Write the ratio as a unit rate. 8 meters in 10 seconds.
A. 0.8 meters per second
B. 1.125 meters per second
C. 2 meters per second
D. 80 meters per second
if ur good at math, pls help. will get brainliest
Answer: y = -x - 3
Using the parent function/formula y = mx +b, you can use the slope formula [tex]\frac{x_{2}-x_1 }{y_2-y_1}[/tex] to determine that the slope is negative. Then, using the answer to the slope equation (m), you can use 2 points from the table to solve the equation for b. Then just write the equation using y, x, value of m, and value of b.
The ratio of girls to boys who like sports is 5 to 8 at GW Middle School. There are 100 girls at GW Middle School. What is the total number of students who like sports at GW Middle School?
Answer:
260 students like sports
Step-by-step explanation:
100÷5=20x8=160+100=260
Pls help: Write 2^100 as a power with the following base. For example: 4^50
1)16 2)32 3)1024
[tex]2^{100} = 16^{25} =32^{20} =1024^{10}[/tex]
P/s: [tex]2^{100} = 2^{4.25} =16^{25}[/tex] ......
ok done. Thank to me :>
What is the distance between the following points?
Answer choices
A 9
B 10
C square root of 21
D square root of 58
Answer: 9 is incorrect the anwser is acactually D . The square root of 58
Step-by-step explanation:
The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange the
equation to highlight b, the base of the triangle, in terms of the area and height.
Answer:
A=B+H
Step-by-step explanation:
I rearange the letters and also I put a plus singe
Plzzzz help meee plzzzzzzz
Answer:
the answer is d
Step-by-step explanation:
A bag of mixed nuts contains almonds and hazelnuts. There are
(6x + 13) nuts in this particular bag, and (3x - 7) of these are hazelnuts
Which expression represents the number of almonds in the bag?
Answer:
3x+20
Step-by-step explanation:
total nuts: 6x+13
hazelnuts: 3x-7
almonds expression:
6x+13-(3x-7)
=6x+13-3x+7
=3x+20
Write the equation of a line that passes through the point (-1,2) that has a y-intercept of (0,-1).
PLS HELP QUICK I NEED TO UNDERSTAND THIS I HAVE A FINAL TMRW
Answer:
The equation of a line: y = ax + b
<=> 2= -a +b => a= b - 2 (1)
<=> -1=b (2)
from (1), (2) => b= -1; a = -3
Step-by-step explanation:
Please Help
Identify the underlined place in 81.7277. Then round the number to that place.
Underlined place is 2/Two
hundredths; 81.72
thousandths; 81.73
thousandths; 81.72
hundredths; 81.73
Answer:
hundredths; 81.73
Step-by-step explanation:
If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.
Express the ratio below in its simplest form.
72
:
36
[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]
You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches
Answer: 18 inches
Step-by-step explanation:
2 x 6 = 12 inches (wide)
3 x 6 = 18 inches (tall)
You buy a sweater that is on sale for 20% off of the original price. The sweater cost $28. What was the original price?
Answer:
The original price was $50.
Step-by-step explanation:
Your sweater now cost $28 after 20% off.
To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.
$28/.80 = $35.
Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.
$35/.70 = $50
