Given the system: 3x-3y=9 -9x+12y= -30
What number would you multiply the TOP equation by to eliminate your "x" values with addition?
Answer:
you would multiply by 3.
Step-by-step explanation:
Hi there!
In order to solve this system of equations through elimination, the sum of either the x or y values will have to equal 0. To eliminate x, you would have to find what, when added, will make the sum 0. In this case, a positive 9 will cancel out the -9 and give us 0. All we have to do is multiply the top equation by 3 so that the x value is equal to 9x!
I hope this helps!
Find the least common multiple of 8y^2 and 7m
Answer: [tex]56y^2m[/tex]
which is the same as writing 56y^2m
====================================================
Explanation:
Let's focus on the coefficients 8 and 7 for now.
To find the LCM of those values, list out the multiples. Circle the smallest number that can be found in both sets at the same time.
multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, ...multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, ....We see that 56 is the LCM of 7 and 8.
Or you could use this shortcut
LCM = (x*y)/GCF
where x and y are the two numbers. The mention of "GCF" refers to the GCF of x and y. In this case, the GCF is 1 so,
LCM = (x*y)/GCF = (8*7)/1 = 8*7 = 56.
----------------------
Once we determine that, we look at the variable terms now.
The y^2 and m will be tacked onto the 56 to arrive at the final answer 56y^2m
This is because y and m are the unique variables, and we go for the highest exponent of each. It's similar to the LCM formula used earlier.
Please look for the question in the picture.
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]
[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]
[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]
[tex]\frac{1x}{4} =\frac{10}{5}[/tex]
Use cross multiplication.
[tex]5x=4*10[/tex]
[tex]5x=40[/tex]
[tex]\frac{5x}{5}=\frac{40}{5}[/tex]
[tex]x=8[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello There!
Question:-
[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]
We need to find the value of x.
Solution:-
Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-
[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]
Add 3/5 to both sides:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]
[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]
Multiply both sides by 4 :-
[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]
On Simplification:-
[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]
[tex]\sf \longmapsto \: x = 8[/tex]
______________________________________
Henceforth,The value of x is :-
[tex] \boxed{ \huge\bf \: x = 8}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
A rectangle that measures 10 inches by 7 inches.
Which expression will determine the perimeter, in inches, of the rectangle?
Answer:
( 2 x 10 ) + ( 2 x 7)
Step-by-step explanation:
Hope this helped!
Answer: 34 inches Perimeter = 2L + 2W
Step-by-step explanation:
A rectangle has two sets of equal side lengths. We'll assign 10 inches to the length, L, and 7 inches to the width, W.
The perimeter of a rectangle is 2L + 2W
Perimeter, P = 2(10) + 2*(7)
P = 20 + 14
P = 34 inches
b) Find the square root of 66.4225.
Answer:8.15
Step-by-step explanation: 8.15
a book is marked down by 28% from the original price of 19.50 what is the new price
Answer:
$14.04
Step-by-step explanation:
to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%
19.5 * 72% = 14.04
it costs $14.04 after a markdown of 28%
The local sales tax is 8% if a pair of shoes sells for $140 what is the cost after tax
Answer:
$151.2
Step-by-step explanation:
To find the price after the tax is implemented,
set a relationship x/140=8/100 (8/100) basically means 8%.
cross multiply (140)(8)=1120. Then divide it by 100x, you get $11.2.
But that's just 8 percent of the total amount. So you need to add onto the original price, 140+11.2=$151.2.
Challenge: The perimeter of a semicircular patio is 35.98 ft. What is its radius? Use 3. 14 for a.
Please Be accurate and explain
Answer:
7 ft
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = 2πr
The curved portion of a semicircle will be ...
C/2 = (2πr)/2 = πr
The straight portion of the semicircular shape will be the diameter, or 2r. That means the total perimeter of a semicircular shape is ...
P = πr +2r = r(π+2)
Then the radius is ...
r = P/(π+2) = (35.98 ft)/(3.14+2) = 7 ft
The radius of the patio is 7 ft.
Find the HCF of 150 and 250.
Answer:
It is 50
Step-by-step explanation:
Hope this helps
Answer:
50
Step-by-step explanation:
1/5 of 400 showing work
Find the vale of x need help
Answer:
x=45 degrees
Step-by-step explanation:
You can see based off of the markings on the 2 sides, that it is an isosceles triangle, so that means the 2 base angles are equal.
so 2x+90=180 degrees
so 2x=90 degrees
x=45
Answer:
[tex]x=45[/tex]
Step-by-step explanation:
→a+b+c=180
→Angle a is given to be 90 degrees
→ Also the other to angles are the same length so the same angle
[tex]90+2x=180[/tex]
Step 1: Subtract 90 from both sides.
[tex]2x+90-90=180-90[/tex]
[tex]2x=90[/tex]
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} =\frac{90}{2}[/tex]
[tex]x=45[/tex]
Answer:x=45Which of the following is the graph of y=x+3
Answer:ITS THE SECOND ONE
Step-by-step explanation:
Find the x- and y-intercepts of the parabola y=x2+4x−6.
To solve for the hypotenuse of a right triangle, what information do you need?
To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.
(legs)^2 + (leg)^2 = (hypotenuse)^2
In your textbook, you will see it this way:
a^2 + b^2 = c^2, where a = b = legs.
Answer:
You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.
Step-by-step explanation:
First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer
The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm has a mass of 200g. Find the formula which connects the mass M g, the area A cm2 and the thickness 1mm. Hence find the mass of a piece of metal of area 400 cm2 and thickness 3mm
The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
M ∝ ATRemoving the proportionality sign,
M = KATWhere:
K = constant of proportionality.make K the subject of the equation:
K = M/KT.................... Equation 1From the question,
Given:
M = 200 gA = 250 cm²T = 1 mm = 0.1 cmSusbtitute into equation 1
K = 200/(250×0.1)K = 8 g/cm³Formula:
M = 8AT................. equation 2Hence the formula of the relation is M = 8AT
If,
A = 400 cm²T = 3 mm = 0.3Substitute these values into equation 2
M = 8(400)(0.3)M = 960 gHence, the mass of the metal sheet is 960 g
Learn more about joint variation here: https://brainly.com/question/26047253
Find the Values of X and Y
X=
Y=
Answer:
14 and 12
Step-by-step explanation:
Help help math math
Answer:
y = 1/2x + 3
Step-by-step explanation:
Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.
In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.
My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis
Answer: y = 1/2 x + 3
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]
the distance between(3,-3) and (-3,5)
Answer:
10 units
Step-by-step explanation:
use distance formula to solve for this!
distance formula is
the square root of the change in x squared + the change in y squared.
sqrt (3+3)^2 + (|-3-5|)^2
sqrt 36 + 64
sqrt 100 = 10
the distance is 10 !
Answer:
the ditstance between (3,-3) and (-3,5) is 10
Step-by-step explanation:
we know the distance in a cartesian axis is
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }[/tex]
so the answer is calculated 10
Which that is that could be represented by the plot chart shown below?
Answer:
24 25 26 27 28 29 30 31 32 33 34
Step-by-step explanation:
Choose the function that the graph represents.
Click on the correct answer.
Answer:
y=log_2 (x)
Step-by-step explanation:
We see that the graph passes though the point (2,1). So we can write:
log_a (2) = 1 => a = 2
So it's a log in base 2.
LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.
=====================================================
Work Shown:
Let x and y be the two numbers.
We're given x = 162 and the variable y is unknown.
We're also given LCM = 1134 and HCF = 18
So,
LCM = (x*y)/HCF
1134 = 162*y/18
1134 = (162/18)y
1134 = 9y
9y = 1134
y = 1134/9
y = 126
The other number is 126
---------------------
Notice that
162 = 18*9126 = 18*7showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.
Now let,
A = multiples of 162B = multiples of 126So,
A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.
can anyone pls help?
Answer:
5x+12+x'
_______
2x'-2x-4
'=2
find the value of the variable in the isosceles triangle. show your work plz
Step-by-step explanation:
3x-3 = x+5 add 3 on both sides
3x = x+8 subtract x in both sides
2x = 8 divide both sides by 2
x = 4
(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?
Answer:
Mr. jones
Step-by-step explanation:
6/7 is 85.71% which is greater than 83%.
why do these sisters have different traits?
Answer: because dna is game of chance
Step-by-step explanation: hope it helps
To check out a customer, a grocery store cashier needs 2 seconds to scan each item being purchased, as well as 30 seconds to process payment. If it takes 44 seconds to ring up a particular customer, how many items is the customer purchasing?
Answer:
7
Step-by-step explanation:
Let's say the customer has x items. For each item, we add 2 seconds. For 3 items, we need 2 + 2 + 2 = 2*3 seconds. For x items, we need 2 * x seconds. Then, we add the processing payment time of 30 seconds, so for x items, the total amount of time = 30 + 2 * x
Here, the total amount of time is 44, so we have
44 = 30 + 2x
subtract 30 from both sides to isolate the variable and its coefficient
14 = 2x
divide both sides by 2 to isolate x
x = 7
1. What kind of interest does credit card P illustrate?
Answer:
Interest rates can come in all sizes, but for credit cards they generally fall into one of three categories:
variable rate, fixed rate and promotional rate. Most companies issue cards tied to revolving credit. Users of these cards are allowed to carry a balance on their accounts at the end of every billing cycle.Step-by-step explanation:
Hope this helps you !!Can you please help me I am stuck on a math problem
Question
6/4 x 9/12=
What is the answer
Answer:
Step-by-step explanation:
Formula
(numerator * numerator ) divided by (denominator * denominator)
Numerator * numerator = 6*9 = 54
Denominator * denominator = 4 * 12 = 48
The answer is 54 / 48 = 9/8 = 1 1/8
Both numerator and denominator can be divided by 6
135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST
Answer:
27/20
Step-by-step explanation:
135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think