Answer:
23
Step-by-step explanation:
12-(9-2)+3*6
12-(7)+3*6
12-7+18
5+18
23
If
p
:
q
=
1
3
:
2
and
p
:
r
=
3
4
:
1
2
, calculate the ratio
p
:
q
:
r
Giving your answer in its simplest form.
Answer:
p : q : r = 3 : 18 : 2
Step-by-step explanation:
Given:
p : q = (1/3) : 2
p : r = (3/4) : (1/2)
Find:
p : q : r
Solution:
We want to rewrite these ratios so they use the same number for p. We can do that by using the least common multiple of (1/3) and (3/4) for p. That value is 3.
p : q = (9)(1/3) : (9)(2) = 3 : 18
p : r = (4)(3/4) : (4)(1/2) = 3 : 2
Then the ratio of interest is ...
p : q : r = 3 : 18 : 2
_____
Additional comment
We are not often asked to find the least common multiple of fractions or mixed numbers. One way to do it is to write the numbers using a common denominator, then find the LCM of the numerators, and reduce any resulting fraction.
LCM(1/3, 3/4) = LCM(4/12, 9/12) = (1/12)·LCM(4, 9) = 36/12 = 3
__
As with integers, you also have ...
LCM(1/3, 3/4) = product/GCD = (1/3)(3/4)/GCD(1/3, 3/4)
The greatest common divisor (GCD) will be the unit fraction with the least common denominator: 1/12, so this is ...
LCM(1/3, 3/4) = (1/3)(3/4)/(1/12) = (3/12)/(1/12) = 3
HELP PLEASE!!!!!!!!!!!!!
Step-by-step explanation:
the first one I think pls give me a brainliest
(1, 3) and (-3, -5)
write a linear equation given the two points
Answer:
y = 2x + 1
Step-by-step explanation:
1. Find the slope; (change in y values)/(change in x values)
Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2
2. Find the y-intercept (b) using the slope intercept formula: y = mx + b
m = 2 and using point (1, 3) , solve for "b"
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
3. Write the linear equation: y = 2x + 1
[tex]\boxed{\sf m+14=3}[/tex]
Step-by-step explanation:
In order to find the value of m, we will do the opposite of positive 14 and subtract it on both sides. Now we have m = -11.
Hope this helps :)
Answer:
m = -11
Step-by-step explanation:
m+14 = 3m+14-14 = 3-14m = -1112 less than the quotient of a number and 4.
Answer:
Let’s let the unknown number be “x”
Now we can just plug it in
quotient of a number and 4
x/4
12 less then the quotient
(x/4)-12
What is the answer of (n+8)+(n-12)
Answer:
n = 2
Step-by-step explanation:
Simplifying
(n + 8) + (n + -12) = 0
Reorder the terms:
(8 + n) + (n + -12) = 0
Remove parenthesis around (8 + n)
8 + n + (n + -12) = 0
Reorder the terms:
8 + n + (-12 + n) = 0
Remove parenthesis around (-12 + n)
8 + n + -12 + n = 0
Reorder the terms:
8 + -12 + n + n = 0
Combine like terms: 8 + -12 = -4
-4 + n + n = 0
Combine like terms: n + n = 2n
-4 + 2n = 0
Solving
-4 + 2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2n = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 2n = 0 + 4
2n = 0 + 4
Combine like terms: 0 + 4 = 4
2n = 4
Divide each side by '2'.
n = 2
Simplifying
n = 2
what is –28.97 as a mixed number.
-28.97 written as a mixed number is = -28 97/100
Answer:
-28 97/100
Step-by-step explanation:
-28 97/100 yea
Use substitution to solve this system of an equation of y= 2x -4
A system of equations consists of at least two equations
The value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]
The equation is given as:
y = 2x - 4
The actual question is to solve for x.
So, we start by adding 4 to both sides of the equation
y +4 = 2x - 4 + 4
y +4 = 2x
Rewrite the equation as:
2x= y +4
Divide both sides of the equation by 2
[tex]\mathbf{\frac{2x}2 = \frac{y +4}2}[/tex]
Divide 2x by 2
[tex]\mathbf{x = \frac{y +4}2}[/tex]
Split the fraction
[tex]\mathbf{x = \frac{y}2 +\frac{4}2}[/tex]
Simplify
[tex]\mathbf{x = \frac{y}2 +2}[/tex]
Hence, the value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]
Read more about systems of equations at:
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What value of g makes the equation true?
–11
–3
3
11
There are men and women at a meeting.
There are 42 women.
40% of the people at the meeting are men.
Work out the total number of people at the meeting.
Answer:
70 peopleStep-by-step explanation:
40% of people are men, then 60% are women.
60% of x is 42 people, find x:
0.6x = 42x = 42/0.6x = 70Let total people be x
ATQ
[tex]\\ \sf\longmapsto 60\%\:of\:x=42[/tex]
[tex]\\ \sf\longmapsto 0.60x=42[/tex]
[tex]\\ \sf\longmapsto x=42/0.6=70[/tex]
You want to start a business selling shoes. The shoes cost $30 to
a
make as well as a $50 delivery fee from the company. You are
planning to sell the shoes for $45 each.
QUESTIONS:
Write a function that represents the cost to make the shoes.
Write a function that represents the revenue from selling the shoes.
Write a function that represents the profit from selling the shoes.
How many shoes will you have to sell to make profit?
Answer:
A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $32 per pair of shoes. The shoes ...
5 pages
Step-by-step explanation:
The following table shows the distance from the bus stop as a function of time:
Time (in minutes)
x Distance (in meters)
f(x)
0 45
3 40
6 35
9 30
12 25
Find and interpret the meaning of the x-intercept in this scenario.
a
(45, 0); the distance away from the bus stop
b
(27, 0); the time it takes to reach the bus stop
c
(45, 0); the time it takes to reach the bus stop
d
(27, 0); the distance away from the bus stop
Answer:
b on the time it takes to reach the bus stop
For Incap T-shirts, the cost of producing x t-shirts can be expressed as C=0.6x2+0.52x+3200.
The revenue they gain can be expressed as R=100x. What is the maximum profit (revenue subtract cost) they can make? In other words, what is the maximum value of R−C? Express your answer to 2 significant figures.
The maximum profit is $923.44 which is gotten when 83 T shirts are produced.
Given the function:
Profit = Revenue - Cost
Profit (P) = 100x - (0.6x²+0.52x+3200)
P = -0.6x² + 99.48x - 3200
The maximum profit is at dP/dx = 0, hence:
dP/dx = -1.2x + 99.48
0 = -1.2x + 99.48
1.2x = 99.48
x = 82.9
x ≅ 83
The maximum profit is at x = 83, hence:
P = -0.6(83)² + 99.48(83) - 3200
P = 923.44
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An electrician charges $45 for a house call and then an additional $16 dollars an hour to fix your lights. If the electrician is there for 4 hours, how much would you owe the electrician. You would owe them dollars
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
According to above statement ~
[tex]y = 16x + 45[/tex]where,
y = total money charged by electricianx = number of additional hour he/she worksso, let's plug the value of x as 4 hours to find y ( total money charged by the electrician )
that is ~
[tex]y = (16 \times 4) + 45[/tex][tex]y = 64 + 45[/tex][tex]y = \$ \: 109[/tex]So, you owe a total of $ 109 to the electrician ~
what is ten minus three to the second power
Answer: 1
Step-by-step explanation: 3 to the second power is just 3x3 which is 9. But because you asked "What is ten minus" we write it as 10 - 9 = 1 Hope it helped ^^
Type your number answer in decimal form. Do not round.
2,500 grams = _______ Kilograms.
2500 grams = 2.5 kilograms.
Remember:-
1000 grams = 1 kilogram.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
what is the completely factored form of this polynomial
Answer:
b)7x²(x-4)(x+6)!!!!!!!!!!!!
Answer:
D) 7x²(x+4)(x-6)
Step-by-step explanation:
the greatest common factor of all 3 terms is 7x²
7x²(x² + 2x - 24)
now we can factor x² + 2x - 24 to be:
(x+4) (x-6)
PLZ PLZ PLZ PLZZZZ HELPPPP MEEEE BRAINLYESt
Answer:
84 degrees
Step-by-step explanation:
can i have help please with these
Answer:
Please mark as brainlest please
HEY WAS I CORRECT? BRAINLIST FOR EXPLANATION
Answer:
yes, it is correct. Why weren't you sure?
Determine the pattern shown in the table.
Please help
Answer:
A
Step-by-step explanation:
Both the input and output are being increased by 1.
Translate triangle A vector by vector (3). To give triangle B..
(-1)
Plz help urgent
Answer:
rotated about 180 degrees clockwise
Step-by-step explanation:
Triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
From the given graph, the vertices of triangle A are (1, -1), (1, -4) and (3, -4)
The given vector is (-3, 1).
Translate triangle A by a vector (-3,1) to give triangle B.
Then rotate your triangle B 180 degrees around the origin to give triangle C.
The following steps can be used to describe the transformation that maps triangle A onto triangle C:
Step 1 - Triangle A is given in the fourth quadrant.
Step 2 - Now, as per the given data translate triangle A by a vector (-3,1) which means the triangle shift in the negative x-axis by a factor of 3 and also shift downwards in the negative y-axis by a factor of 1.
The resulting triangle is in the third quadrant which is triangle B.
Step 3 - Now, rotate the triangle B by 180 degrees. So, the resulting triangle is triangle C which is in the first quadrant.
Therefore, triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.
To learn more about the translation visit:
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Malachy, Sarah & Paul share some money in the ratio 1 : 9 : 3.
In total, Malachy and Paul receive £52.
How much does Sarah get?
Step-by-step explanation:
Answer is in the picture
5 gallons to 50 gallons simplest form
Answer:
1/10
Step-by-step explanation:
There are 45 questions on your math exam. You answered 810
of them correctly. How many questions did you answer correctly?
Answer:
810/45=18 as the answer
A carpenter needs 5 1/2 strips of lumber for a project If each strip measures $ meter, how many meters of lumber does the carpenter need in all?
Answer:
A carpenter needs 4 1/3 strips of lumber for a project. Each strip is to measure 1/3 meter.
Step-by-step explanation:
Answer:
5 1/2 meters because 5 x 1/2 gives 11/2 so mixed fraction will be 5 1/2
Need help with this please.
What is the slope and y-intercept -4x+2y=-2
Answer:
Slope: 2
Y-intercept: (0, -1) or - 1
Step-by-step explanation:
Given the linear equation, -4x + 2y = -2:
Transform the given equation into its slope-intercept form, y = mx + b:
-4x + 2y = -2
Add 4x to both sides:
-4x + 4x + 2y = 4x - 2
2y = 4x - 2
Divide both sides by 2 to isolate y:
[tex]\frac{2y}{2} = \frac{4x - 2}{2}[/tex]
y = 2x - 1 ⇒ This is the slope-intercept form where the slope, m = 2, and the y-intercept is (0, -1).
help please, i need to find the slope of the line
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
A car is 500 miles from its destination after 2 hours and 410 miles from its destination after 3.5 hours. What is the rate of change?
A. 1.5 miles per hour
B. 60 miles per hour
C. 90 miles per hour
D. 135 miles per hour
PLEASE HELP
Answer:
500-410=
= 90
Step-by-step explanation:
your answer is c 90 miles per hour
Answer:
1. -1/3
2. (11,13) and (8,18)
3. -2
4. undefined
5. 60 miles per hour
