Answer:
[tex] \boxed{\sf m = -4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4[/tex]
GiveN:
6(m - 1) = 3(3m + 2)What to do?
We have to solve for m[tex].[/tex]Solution:
The equation has only one variable i.e. m. For finding m we need to isolate it any one side of the equation. Before that, let's expand the parentheses,
⇒ 6(m - 1) = 3(3m + 2)
⇒ 6m - 6 = 9m + 6
Now moving m to the left hand side and constant terms to the right hand side,
⇒ 6m - 9m = 6 + 6
⇒ -3m = 12
Dividing the Equation by -3,
⇒ m = 12 / -3
⇒ m = -4
Thus, the required value of m is -4.
In the function y = a(x – h)2 + k
which variable controls the horizontal shift?
1)H
2)K
3)A
4)X
Answer:
h is the horizontal shift
Step-by-step explanation:
y = a(x – h)^2 + k
This is the equation for a parabola in vertex form
The vertex is ( h,k) and it is shifted from (0,0)
h is the horizontal shift and k is the vertical shift
Answer:
H
Step-by-step explanation:
y=a(x-h)2+ka= Vertical stretch or shrinkage(IaI>1) or (0<a<1) h= Horizontal shift(x-h=0)x=hK= Vertical shifty-value* a+kadd k to the "new: values of yAt a carry-out pizza restaurant, an order of 3 slices of pizza, 4 breadsticks, and 2 juice drinks costs $13.35. A second order of 5 slices of pizza, 2 breadsticks, and 3 juice drinks cost $19.50. If four breadsticks and a juice drink cost $.30 more than a slice of pizza, what is the cost of each item?
Answer: Pizza = $2.95, Breadstick = $0.50, Juice = $1.25
Step-by-step explanation:
Let P represent the cost of a slice of pizza
and B represent the cost of breadstick
and J represent the cost of a juice drink.
EQ1: 3P + 4B + 2J = 13.35
EQ2: 5P + 2B + 3J = 19.50
EQ3: 4B + J = P + 0.30 --> P - 4B - J = -0.30
Let's eliminate B from EQ1 and EQ2 to form EQ4:
3P + 4B + 2J = 13.35 → 1(3P + 4B + 2J = 13.35) → 3P + 4B + 2J = 13.35
5P + 2B + 3J = 19.50 → -2(5P + 2B + 3J = 19.50) → -10P - 4B - 6J = -39.00
EQ4: -7P -4J = -25.65
And eliminate B from EQ1 and EQ3 to form EQ5:
3P + 4B + 2J = 13.35
P - 4B - J = -0.30
EQ5: 4P + J = 13.05
Now, eliminate J from EQ4 and EQ5 to solve for P:
-7P - 4J = -25.65 → 1(-7P - 4J = -25.65) → -7P - 4J = -25.65
4P + J = 13.05 → 4(4P + J = 13.05) → 16P +4J = 52.20
9P = 26.55
÷9 ÷9
P = 2.95
Plug in P = 2.95 into EQ4 or EQ5 to solve for J:
EQ5: 4P + J = 13.05
4(2.95) + J = 13.05
11.80 + J = 13.05
J = 1.25
Plug in P = 2.95 and J = 1.25 into either EQ1 or EQ2 or EQ3 to solve for B:
EQ3: 4B + J = P + 0.30
4B + 1.25 = 2.95 + 0.30
4B + 1.25 = 3.25
4B = 2.00
B = 0.50
Check (since we used EQ3 to find B, use either EQ1 or EQ2):
EQ2: 5P + 2B + 3J = 19.50
5(2.95) + 2(0.50) + 3(1.25) = 19.50
14.75 + 1.00 + 3.75 = 19.50
19.50 = 19.50 [tex]\checkmark[/tex]
6. The cost to rent a room for a party is a one-time fee
of $90 plus $60 per hour for a DJ. If the cost of the party
was $300, how many hours did they have the DJ?
x = # of hours the DJ was booked
$90 + $60x = $300
Subtract $90 from both sides.
$60x = $210
Divide both sides by $60
x = 3.5 hours
They had the DJ for 3.5 hours
determine the mean
14,2,15,7,4,12
Answer:
The mean is 9.
Step-by-step explanation:
How many numbers are there? 6.
The numbers add up to 54.
Divide 54 by 6, to get 9 numbers.
Answer:
9
Step-by-step explanation:
14 + 2 + 15 + 7 + 4 + 12 = 5454 ÷ 6 (the number of numbers we added above) = 9I hope this helps!
number 3 please solve and explain
Answer: -12.5
Step-by-step explanation:
x(2y-3) and x=2.5 and y=-1
so you fix in the figures so it will turn to
2.5(-2-3)
so then you open the brackets with 2.5
-5-7.5
Answer: -12.5
93 + (68 + 7) I really need the whole thing explained.
Answer:
168
Step-by-step explanation:
93+(68+7)=100+68=168
Ray orders a sandwich at the deli. He needs to choose one type of bread, one type of meat, and one type of cheese from the given menu.
Bread: white or wheat
Meat: beef, ham, or turkey
Cheese: swiss or cheddar
How many different types of sandwiches could Ray choose?
A. 7
B. 8
C. 9
D. 12
E. 27
Answer: D. 12
Step-by-step explanation:
The first step here is to find all the possible selections and the number of options for each selection:
bread: 2 options (white or wheat)
meat: 3 options (beef, ham or turkey)
cheese: 2 options (swiss or cheddar)
The total number of combinations (of different possible sandwiches that Ray can order) is equal to the product between the numbers of options for each selection, so we have:
Combinations = 2*3*2 = 12
So the correct option is D.
Answer:
D. 12
Step-by-step explanation:
Free Brainliest 2
a;ljdk;lajk;lsdjf;laj;sdkjad;fdj;j;dsj;f
Answer:
Hi, the answer is a;ljdk;lajk;lsdjf;laj;sdkjad;fdj;j;dsj;f equaling 21
Step-by-step explanation:
(PLEASE HELP!!!) Which of the following expressions is equivalent to a^6 + b^4? (1 point)
Answer:
Last option
(a³+ib²)(a³-ib²)
= a^6-i²b⁴
{(x+y)(x-y)=x²-y²}
=a^6+b⁴
{i²=-1}
Three sides of a quadrilateral are the same length, . The length of the fourth side is 7 inches The perimeter of the quadrilateral is 40 inches, write a equation thats represents the solution
Answer:
It’s 11 inches
Step-by-step explanation:
I had the question
The equation that's represents the solution is 3x+ 7= 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The perimeter of the quadrilateral is 40 inches.
The length of the fourth side is 7 inches
let the length of three equal sides are x unit each.
So, Perimeter of Quadrilateral = 40
x+ x +x + 7 = 40
3x = 33
x= 11
Hence, the equation is 3x + 7= 40.
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Mendel crossed peas having round seeds and yellow cotyledons (seed leaves) with peas having wrinkled seeds and green cotyledons. All the F1 plants had round seeds with yellow cotyledons. Based on this cross, what is the probability that an organism in the F2 generation will have round seeds and green cotyledons and be true breeding? Mendel crossed peas having round seeds and yellow cotyledons (seed leaves) with peas having wrinkled seeds and green cotyledons. All the F1 plants had round seeds with yellow cotyledons. Based on this cross, what is the probability that an organism in the F2 generation will have round seeds and green cotyledons and be true breeding? 1/16 1/32 1/8 1/4
Answer:
1/16
Step-by-step explanation:
This question involves two distinct genes; one coding for seed shape and the other for cotyledon color. The alleles for round seeds (R) and yellow cotyledons (Y) are dominant over the alleles for wrinkled seed (r) and green cotyledon (y) respectively.
In a cross between a truebreeding (i.e. same alleles for both genes) pea having round seeds and yellow cotyledon (RRYY) and a truebreeding pea having wrinkled seeds and green cotyledon (rryy), the F1 offsprings will all possess a heterozygous round seed and yellow cotyledon (RrYy).
The F1 offsprings (RrYy) will produce the following gametes: RY, Ry, rY, and ry. Using these gametes in a punnet square (see attached image), 16 possible offsprings will be produced in a ratio 9:3:3:1.
According to the question, 3/16 of the F2 offsprings will possess round seeds and green cotyledons, however, only 1 of them will be truebreeding i.e. RRyy. Hence, 1/16 of the F2 offsprings will be truebreeding for round seeds and green cotyledons.
Rachel types a 162 words in 18 minutes. Rachel types at a constant rate. How many words does Rachel type per minute
Hi!
Your answer Would be: about 20 words per minute.
Reason Being: 162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.
162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number.also, 20.25 x 15 = 162.162 divided by 18 is 20.25, which is about 20 if you round to the nearest number. Also, 20.25 x 15 = 162.Therefore, the answer is 20.
Hope this helps!
Let me know if you need any more help, Id be delighted to!
Yours Truly,
~~~PicklePoppers~~~
A child has a bottle full of pennies, nickels,dimes and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
Answer:19x
Step-by-step explanation:
Take x as the value of pennies
If there are twice as many quarters as pennies then the explanation should be
Pennies =x
Quarters =2x
If there are 4 times as many nickels as pennies then the explanation is
Pennies =x
Nickels =4x
If there are 5 times as many dimes as nickels then the explanation is
Nickels =4x
Dimes=20x
So the values of them all is
Pennies =x
Nickels =4x
Dimes =20x
Quarters =2x
So to get how many more dimes does the child have than quarters you subtract
20x-2x=19x
The Number of dimes the child has more than quarters is; 10 times more.
Let number of pennies be P
Since he has twice as many quarters as pennies, then;
Number of quarters; Q = 2P
Four times as many nickels as pennies. Then;
Number of nickels; N = 4P
five times as many dimes as nickels. Then;
Number of dimes; D = 5N = 5(4P) = 20P
Since number of quarters = 2P
And number of dimes = 20P
Then;
Number of dimes the child has more than quarters is; 20P/2P = 10
Thus, the child has ten times as many dimes as quarters
Read more on proportion at; https://brainly.com/question/25640375
Demostración de cada una de las conclusiones de los siguientes razonamientos Por medio de inferencias lógicas. Si los secuestradores se cansan, se ponen nerviosos. Si los secuestradores están armados y se ponen nerviosos, la vida de los rehenes corre peligro. Los secuestradores están cansados y armados. Por consiguiente, la vida de los rehenes corre peligro.
Answer:.
Step-by-step explanation:Z
Jessica deposited $2000 into an account with a 7.6% annual interest rate, compared quarterly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $3722?
Answer:
Step-by-step explanation:
use
i=prt
i=interest
p= principal value
r=rate
t=time
now you want to find time then it will be
t= i/pr
put values
t= 3722/(2000*7.6%)
t= 2 years
calculation is in fraction but your question given you annual interest so time will also be 2 years not in months
Time Warner Cable provides television and Internet service to millions of customers. Sup-pose that the management of Time Warner Cable subjectively assesses a probability dis-tribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 .10 200,000 .20 300,000 .25 400,000 .30 500,000 .10 600,000 .05a. Is this probability distribution valid
Answer: yes, it is valid
Step-by-step explanation:
Given the following probability distribution :
X ________f(x)
100,000___ .10
200,000__ .20
300,000 __ .25
400,000 __ .30
500,000 ___.10
600,000 ___.05
To examine the validity of the distribution :
Each individual observation or point must have probability value in within the range (0 < p ≤ 1)
Where p = probability value.
The sum of the individual probabilities must add up to 0
(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)
= 1
Since the two consitions are meet, then, the probability distribution is valid
what is 1.584x10 to the seventh power is in standard notation.
a.1.584
B.1,584
C.15,840,400
D.158,400,00
Answer:
None
Step-by-step explanation:
Thats not how math works
The proper answer would be 15,840,000,000
Solve the equation n/3-4=2
Answer:n=18
Step-by-step explanation:
what is the answer
Answer:
C
Step-by-step explanation:
Just re-draw the triangle reflecting the y-axis
The options are: 3/10, 65%, 3/7, 70%
Answer:
70%
Step-by-step explanation:
there are 20 total marbles and only 14 are not blue so 14/20 = 7/10 = 70%
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write 12 32 in simplest form. You must show your work to receive all possible points.
Answer:Start by dividing the numerator and denominator by 2.
12/32 = 6/16
Now that can also be divided by 2.
6/16 = 3/8
That's as far as we can go because 3/8 can not be divided any more.
We could have divided 12/32 by 4 and saved a step.
The required simplest form of the 12 / 32 is 3 / 8.
Given that,
To write 12 32 in simplest form.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To write 12 / 32 in simplest form,m
= 12 / 32
= 4 * 3 / 2 * 4 * 4
Eliminating common terms that are common in numerator and denominator.
= 3 / 8
Thus, the required simplest form of the 12 / 32 is 3 / 8.
Learn more about arithmetic here:
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37.44 +3.79 + 24.1
37.44
3.79
+ 24.1
37.44
3.79
+ 24.1
(Type a whole number or a decimal.)
Is this correct? Thanks.
Answer:
yes it is
Step-by-step explanation:
hope it will help you if yes so make brainlist
Seventh grade
Which of the following describe 16.2? Select all that apply.
natural
number
whole number
integer
rational
number
Can someone teach me how to do number 16???
Answer:
x=0
Step-by-step explanation:
it tells you that
∠LKJ=169
∠SKJ=x+95
∠LKS=74+2x
and by the figure we know that
∠LKJ=∠LKS+∠SKJ
so we have
[tex]169=x+95+74+2x\\\\169=3x+169\\\\169-169=3x\\\\0=3x\\\\x=0[/tex]
LKS + SKJ = LKJ
Substitute the numbers into the equation above.
74 + 2x + x + 95 = 169
Combine like terms
3x + 169 = 169
Subtract 169 from both sides
3x = 0
Divide both sides by 3
x = 0
SKJ = x + 95 = 0 + 95 = 95
LKS = 74 + 2x = 74 + 2(0) = 74 + 0 = 74
LKJ = 169
LKS + SKJ = LKJ
74 + 95 = 169. This proves that x = 0
Nikolai is taking a taxi to school. He has to
pay $3 for the first mile and $1 for every
additional mile How much will Nikolai pay if
he travels five miles?
Help me with this plz
Answer:
all of them are except for the first one
Step-by-step explanation:
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
Equatons Unit Test
Determine whether the units are commensurable or incommensurable with grams?
Yes kilometers and kilograms
A line is drawn so that it passes through the points (3, 4) and (0, 5) . What is the slope of the line?
Answer:
-1/3
Step-by-step explanation:
Y2-Y1 plug in 5-4. 1
---------- ------- = --
X2-X1 plug in 0-3 -3
Use the slope formula to find the slope of the line through the points (4,−1) and (−9,−10).
Answer:
9/13
Step-by-step explanation:
