Which of these steps will eliminate a variable in this system
3x-3y=6
6x+9y=3
Answers
Answer:
A
Step-by-step explanation:
This is because when you do a the answer states, multipliying the top by 2, makes the top equation 6x-6y=12. When you subtract the second from the first you get:
6x - 6y = 12
- 6x + (-)9y = (-)3
Which results in -15y = 9.
This results in an eliminated variable from the start of the system of equation.
The steps that will eliminate a variable in this system are:
Multiply the first equation by 2.
Then subtract the second equation from the first.
What is method of elimination?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
[tex]3x - 3y = 6\\6x +9y = 3\\\\6x - 6y = 12\\6x +9y = 3\\\\15y = -9\\y = -3/5\\x= 2-3/5 = 7/5[/tex]
Learn more about method of elimination here
https://brainly.com/question/14619835
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Related Questions
A7. Charlie sells wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
1.
Answers
Answer:
21
Step-by-step explanation:
(7x2)+(1.5x2)+(2x2)
Helpppp and explain :))
Answers
Answer:
y = 2x - 7
Step-by-step explanation:
(1,-5) (2,-3)
y2 - y1 / x2 - x1 -3 - (-5) / 2 - 1 2/1 = 2
y = 2x + b
-3 = 2(2) + b
-3 = 4 + b
-7 = b
plz help ASAP with explanation
Answers
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
==========================================================
Explanation:
The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.
For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm
Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.
Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872
Therefore, the full tank's capacity is 1.872 liters
This converts to 1.872*1000 = 1872 cm^3
--------------------------------------------
The largest rectangular block has volume 1872 cm^3
We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so
V = L*W*H
L*W*H = V
12*8*H = 1872
96H = 1872
H = 1872/96
H = 19.5
The height of the tank is 19.5 cm
What is the reason for statement 3 in this proof?
Answers
Answer:
A. Definition of angle bisector
Step-by-step explanation:
Given that ΔABC is an isosceles triangle where AB = BC, and that BD bisects ∠ABC, then by the definition of angle bisection of ∠ABC, we have;
m∠ABD = m∠CBD
The correct option is option A. Definition of angle bisector
Also, given that ΔABC is an isosceles triangle and BD is the angle bisector of ∠ABC, we get;
AD = CD and BD = BD
We can therefore, also find that ΔABD ≅ ΔCBD by Side Side Side (SSS) rule of congruency
Recall how the sorceress's twin
brother converts blueberries by
adding 9 to the number of
blueberries given to him and then
doubling it. Find the output if he is
given zero blueberries.
The wizard returns blueberries.
Answers
Answer:
18 blueberries
Step-by-step explanation:
also nice zoro profile pic
Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3.
Answers
Answer:
9x - 9
Step-by-step explanation:
4(2x + x - 3) - 3x + 3
Simplify the expression, combine like terms in the parenthesis,
4(3x - 3) - 3x + 3
Distribute, multiply every term inside the parenthesis by the number outside of it;
(4)(3x) + (4)(-3) - 3x + 3
Simplify,
12x - 12 - 3x + 3
Combine like terms,
12x - 12 - 3x + 3
9x - 12 + 3
9x - 9
what is the inverse function f f(x)=radical x +7
Answers
Step-by-step explanation:
by switching the places of x and y ans solving for y
What is the slope of the line? What is the y-intercept of the line? y = 2x + 5
Answers
Slope intercept form of a line is, y = mx + c where m is the slope and c is constant.
Judging the given equation y = 2x + 5
Slope (m) of the line is 2,
y-intercept of the line,
y = 2x + 5
y = 2×0 + 5
y = 5
Answered by GAUTHMATH
Answer:
m = 2
y intercept = 5
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 2x +5[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 2 [/tex]
[tex]\implies y - intercept= 5[/tex]
A picture which measures 30cm by 40cm is surrounded by a frame which is 11/2 wide. find the area of the frame
Answers
Hope my diagram helps (I should’ve used a ruler )
How many 1/4 cup servings are there in 2 cups of raisins?
Answers
4 is the answer
Pls help ASAP!!!!!
Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.
Answers
Answer:
0. 116
Step-by-step explanation:
The function is given as :-
[tex]\boxed{f(d) = 5(1.02)^d }[/tex]
and we have to find the rate of change from d = 4 to d = 11
[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]
The final input value is 11 whereas the initial input value is 4.
The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).
[tex]{\underline{Initial\:Output}}[/tex]f(4) = [tex]5(1.02)^4[/tex]
f(4) = 5 × 1. 08
f(4) = 5. 41
[tex]{\underline{Final\:Output}}[/tex]f(11) = [tex]5(1.02)^11[/tex]
f(11) = 5 × 1. 24
f(11) = 6. 22
[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]
[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]
The table shows information about some children.
Age 11 Age 12 Total
Girls 3
a
b
Boys
c
5 8
Total
d
13
e
A pupil is selected at random.
What is the probability of selecting a student aged 12?
Give your answer in its simplest form.
Answers
Answer:
[tex]P(Age\ 12) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
Age 11 Age 12 Total
Girls 3 5 8
Boys 1 3 4
Required
[tex]P(Age\ 12)[/tex]
The number of aged 12 children is:
[tex]Age\ 12 = 5 + 3[/tex]
[tex]Age\ 12 = 8[/tex]
The total number of children is:
[tex]Total=8+4[/tex]
[tex]Total = 12[/tex]
So, we have:
[tex]P(Age\ 12) = \frac{Age\ 12}{Total}[/tex]
[tex]P(Age\ 12) = \frac{8}{12}[/tex]
Simplify
[tex]P(Age\ 12) = \frac{2}{3}[/tex]
PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answers
Answer:
wow man that is crazy
Step-by-step explanation:
If PN=14, NO=20, PO=16, QR=55, and SR=44, find the perimeter of ΔQRS. Round your answer to the nearest tenth if necessary
Answers
Answer:
The perimeter of QRS is 137.5
Step-by-step explanation:
From the given interval angles, we can see that the two triangles are congruent
so it is expected that the ratios of their corresponding sides are equal
this is because; 83 + 53 + 44 = 180
Now, let us work with the side facing the angle marked 53 in both triangles
For the smaller, we have the measure as 16
for the bigger, we have the measure as 44
So the scale factor here is 44/16 = 11/4 = 2.75
We have to multiply the measure of the sides of the smaller triangle by 2.75 to get that of the bigger triangle
in similar vein, we have to multiply the perimeter we have in the smaller triangle by 2.75 to get that of the bigger triangle
The perimeter of the smaller would be the sum of the side lengths
we have this as;
14 + 20 + 16 = 50
So the perimeter of the bigger triangle would be;
2.75 * 50 = 137.5
Solve for x. Round to the nearest tenth, if necessary.
Answers
Hi there!
1. Trigonometric Ratio
For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.
2. Adjacent, Hypotenuse, Opposite
There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.3. Using Cosine Ratio
Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.Cosine Ratio is:
[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]
For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4
Hence, the new equation is:
[tex] \large{0.4 = \frac{x}{7} }[/tex]
4. Solve The Equation
The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]
Multiply 7 both sides to get rid of the denominator.
[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]
Divide both sides by 10 so we can finally isolate x.
[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]
Since the denominator is 10. We can convert to the decimal as 2.8
[tex] \large \boxed{ \tt{2.8 = x}}[/tex]
Because you want the nearest tenth then 2.8 is your answer!
5. Final Answer
x = 2.8Which expression has a value of 15 when n = 7?
1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction
Answers
Answer:
[tex]19-\frac{28}{n}[/tex] is the expression with the value of 15 when n = 7
Step-by-step explanation:
To find the expression whose value is 15, substitute the value of n = 7 in each given expression.
Expression 1:
[tex]43-5n[/tex]
Substitute the value of n & simplify,
[tex]43-5(7)[/tex]
[tex]43-35=8[/tex]
Since the value of the expression is 8 which is not equal 15.
Hence expression [tex]43-5n[/tex] does not have value of 15 when n = 7.
Expression 2:
[tex]3n-5[/tex]
Substituting the value of n & simplify,
[tex]3(7)-5[/tex]
[tex]21-5=16[/tex]
Since the value of the expression is 16 which is not equal 15.
Hence expression [tex]3n-5[/tex] does not have value of 15 when n = 7.
Expression 3:
[tex]6n-28[/tex]
Substituting the value of n & simplify,
[tex]6(7)-28[/tex]
[tex]42-28=14[/tex]
Since the value of the expression is 14 which is not equal 15.
Hence expression [tex]6n-28[/tex] does not have value of 15 when n = 7.
Expression 4:
[tex]19-\frac{28}{n}[/tex]
Substituting the value of n & simplify,
[tex]19-\frac{28}{7}[/tex]
[tex]19-4=15[/tex]
Since the value of the expression is 15 which is equal 15.
Hence expression [tex]19-\frac{28}{n}[/tex] has the value of 15 when n = 7.
What is the system of equations shown in the graph
Answers
If you look at the graph the slopes and y intercepts match up
Answer:
D)
y = - x + 1
y = -1/4 +2
Step-by-step explanation:
The equation of a linear graph: y = mx + b
The red graph is going down, so it would mean the m value is negative (-). This cancels options A) and C). The red graph also moves one unit up the y-axis which means the b is one (1). So the equation would be y = - x + 1.
The blue graph is also going down, so it would mean the m value is negative (-). This means it could be options B) or D). But, the blue graph also moves two units up the y-axis, which means the b is two (2). So the equation would be y = - 1/4x + 2.
PLEASE I NEED HELP. summer school
Answers
Answer:
1. Y+2/5y
2. y-0.32y
3. Y-2/5y
4. y+0.32y
Step-by-step explanation:
given the diagram, what is m
Answers
Answer:
∠ ADC = 145°
Step-by-step explanation:
The central angle is equal to the measure of the arc that subtends it, then
∠ ADE = 70°
∠ EDC = 75°
∠ ADC = ∠ ADE + ∠ EDC = 70° + 75° = 145°
. Evaluate the function rule for the given value.
y = 4.2xfor x = -6
Answers
Answer:
y= 4 x 2(6)
y= 4 x -12
y= -48
Step-by-step explanation:
y= 4 x 2(6)
y= 4 x -12
y= -48
Pa-follow po
Thank you
A metal smith is mixing two molten metals
Answers
Answer:
I think the answer is going to be A (15)(0.75) and 0.7(15 – x) + 0.9x, I hope this helps!! :)
Step-by-step explanation:
Express tan J as a fraction in simplest terms
Answers
Answer:
3/4
Step-by-step explanation:
tangent is opp/ad
so that is 15/20, or 3/4
I need help plsss, check all that apply
Answers
A side of the triangle below has been extended to form an exterior angle of 158º. Find
the value of x.
Answers
Answer:
22°
Step-by-step explanation:
180° - 158° = 22°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}
Answers
Answer:
the exact answer is 1.98
if we rationalize denominator we get root 0f 10 times pi divided by 5
root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92
Step-by-step explanation:
[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]
3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?
Answers
Answer:
33 and 6 yearsStep-by-step explanation:
Mother's age = mSon's age = s3 years later:
m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 93 years ago:
m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21Solve for s by substitution:
4s + 9 = 2s + 212s = 12s = 6Find the value of m:
m = 4*6 + 9 = 33Mother is 33 and son is 6
Cayden has several screws on a scale, and the scale reads 80.955 cayden add 1 more screw and the scale reads 84.81
Answers
Answer:
-3.855
Step-by-step explanation:
Not sure if you need the weight of each screw! but you just subtract 80.955-84.81
Answer:
1
Step-by-step explanation:
itnisbbsndnfnfnfnnfnfnfncjcjccjcj
Given triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 in, what is the scale factor of the dilation from triangle MNP to QRP? "
Answers
Answer:
Scale Factor 3
Step-by-step explanation:
According to the Question,
Given That, triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 .Therefore, the scale factor of the dilation from triangle MNP to QRP is
Scale Factor = QR/MN ⇒ 48/16 ⇒ Scale Factor 3A department store holds a year-end clearance sale that includes a 5.5% discount on cosmetics. Find the sale price of a bottle of perfume if its original price was $48.41.
Answers
Answer:
Sale price = $45.75
Step-by-step explanation:
Original price = $48.41
Percentage Discount = 5.5%
Amount of discount = Percentage Discount × Original price
= 5.5% × $48.41
= 5.5/100 × $48.41
= 0.055 × $48.41
= $2.66255
Sale price = Original price - Amount of discount
= $48.41 - $2.66255
= $45.74745
Approximately,
Sale price = $45.75
SOMEONE PLEASE HELP!!
Answers
Answer:
RV = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18
