Answer:
Step-by-step explanation:
Eq. 1 ) −5x−3y−9=0
Eq. 2) 4x−18y−54=0
there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)
6 *( −5x−3y−9=0 )
Eq. 3) -30x -18y =54
subtract Eq. 2 from Eq. 3 :)
-30x -18y =54
-( 4x−18y=54)
-34x = 0
so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,
then:
-5x = 9 +3y
x = - 9/5 + (-3/5)y
now plug that into Eq. 2
4( - 9/5 + (-3/5)y ) - 18y = 54
-36/5 + (-12/5)y -18y = 54
(-12/5)y - (90/5)y = 54+36/5
-(102/5)*y =270/5+36/5
-(102/5)y = 306/5
y = (-5/102)*(306/5)
y = -306/102
y = -3
then plug in for either equation
-5x-3( -3) = 9
-5x + 9 = 9
-5x = 0
x = 0
now we have the full answer
check it by plugging in both x and y into the 2nd equation
4(0) - 18(-3) = 54
54= 54
this seems good
Solve 4x + 11 = k for x.
O A. x= -11
O B. x=-11
O C. x = 4k - 44
D. x= k-7
Answer:
4x + 11 = k
<=> 4x = k - 11
<=>
[tex]x = \frac{k - 11}{4} [/tex]
solve the system of equations using the substitution method pls show work
4x+y=7
3x+2y=9
Answer:
x = 1 ; y = 3Step-by-step explanation:
[tex]4x + y = 7 \\ y = 7 - 4x[/tex]
Now we know the value of y is 7 - 4x we plug this value to the second equation with y, So,
[tex]3x + 2(7 - 4x) = 9 \\ 3x + (14 - 8x) = 9 \\ - 5x = 9 - 14 \\ - 5x = - 5 \\ x = \frac{ - 5}{ - 5} \\ x = 1[/tex]
Now to find the value of y we use the first equation
[tex]y = 7 - 4x \\ y = 7 - 4(1) \\ y = 7 - 4 \\ y = 3[/tex]
Hope this helps you :)
Answer:
x = 6/5 or 1.2 y = 11/5 or 2.2
Step-by-step explanation:
4x + y = 7
y = -4x + 7
y = 7 - 4x
3x + 2y = 9
3x + 2(7 - 4x) = 9
3x + 14 - 8x = 9
-5× + 15 = 9
-5x = 9 - 15
-5x = -6
x = -6/-5
x = 6/5
4x + y = 7
4(6/5) + y = 7
24/5 + y = 7
y = 7 - 24/5
y = 35/5 - 24/5
y = 11/5
Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?
Answer:
Point A
Step-by-step explanation:
The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.
Answer:
A
Step-by-step explanation:
The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of line 8 ?help please
Answer:
x - 2y + 8 = 0
Step-by-step explanation:
that is the procedure above
PLEASE ANSWER CORRECTLY FOR BRAINLIEST:
25.
26.
27.
29.
Step-by-step explanation:
25.
[tex] \frac{t}{5} = b[/tex]
where b is the no. if 5 dollar bills.
26.
[tex]x +( x + 2) +( x + 4) = x + (x + 2)[/tex]
[tex]3x + 6 + 9 = 2x + 2[/tex]
[tex]3x + 15 = 2x + 2[/tex]
[tex]x + 15 = 2[/tex]
[tex]x = - 13[/tex]
Since x=-13 the intergers are
[tex] - 13[/tex]
[tex] - 11[/tex]
[tex] - 9[/tex]
27.
Represent the function as
[tex]x + x + 6 = 44[/tex]
[tex]2x + 6 = 44[/tex]
[tex]2x = 38[/tex]
[tex]x = 19[/tex]
The shorter piece should be 19 inches.
28.
Solve for h.
[tex]s = 2\pi \times rh + 2\pi {r}^{2} [/tex]
[tex]s - 2\pi {r}^{2} = 2\pi \times rh[/tex]
[tex] \frac{s - 2\pi {r}^{2} }{2\pi \times r} = h[/tex]
29.
[tex] \frac{16 + x}{2} \times 6 = 108[/tex]
[tex] \frac{16 + x}{2} = 18[/tex]
[tex]16 + x = 36[/tex]
[tex]x = 20[/tex]
I you borrow 500 for 4 years at an annual interest rate of 6% HOW MUCH WILL YOU PAY altogether
Answer:
620
amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620
In a deck of 52 playing cards, what is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9?
Answer:
4.8%
if we assume that the first card is REPLACED (otherwise the formula gets complex)
[tex](\frac{4}{52} )(\frac{32}{52} ) = \frac{8}{169} = .048[/tex]
Step-by-step explanation:
13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
In a deck of 52 playing cards
We need to find the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
n(S) =52
And the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is,
n(E) =13 a set of a diamond suit, because a diamond suit has {A, K ,Q ,J ,2,..,9}
Thus, the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is 13/52 or 1/4 .
Hence, 13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Can someone help with the ones I haven’t answer
Answer:
Step-by-step explanation:
[tex]5) 5\frac{11}{12}+3\frac{5}{6}=5+\frac{11}{12}+3+\frac{5}{6}\\\\ =8 +\frac{11}{12}+\frac{5*2}{6*2}\\\\= 8 +\frac{11}{12}+\frac{10}{12}\\\\=8 +\frac{11+10}{12}\\\\= 8+\frac{21}{12}\\\\=8+ 1\frac{9}{12}\\\\= 9\frac{9}{12}[/tex]
Which of the following is not a congruence theorem or postulate?
A.) AAS
B.) SSS
C.) AA
D.) SAS
Answer:
C.) AA
Step-by-step explanation:
AA is a similarity theorem
hope this helps stay safe :)
Answer:
The answer would be C.
Step-by-step explanation: Hope this helps :)
Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?
270 degrees counterclockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
180 degrees rotation
it's a 90 degree counterclockwise rotation around the origin (0,0).
see the screenshot for illustration
Answer:
B.
Step-by-step explanation:
Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?
Given:
Reese read twice as many pages Saturday than she read Sunday.
She read a total of 78 pages over the weekend.
To find:
The number of pages she read on Sunday.
Solution:
Let x be the number of pages she read on Sunday.
Reese read twice as many pages Saturday than she read Sunday. So, the number of pager she read on Saturday is 2x.
Total number of page she read over the weekend is:
[tex]Total=x+2x[/tex]
[tex]Total=3x[/tex]
She read a total of 78 pages over the weekend.
[tex]3x=78[/tex]
[tex]x=\dfrac{78}{3}[/tex]
[tex]x=26[/tex]
Therefore, Reese read 26 pages on Sunday.
Express your answer as a decimal (to the nearest hundredth).
What part of an hour is 20 minutes?
0.25
0 0.375
0.50
0.33
Answer:
0.33
Step-by-step explanation:
An hour is 60 minutes. 20 goes into 60 three times, so it is 1/3 of an hour or 0.333333333333, etc. As a percent, 20 minutes is 33.33%. Converted to a decimal, it is 0.33 or 1/3 of an hour
Is the number of hits to a website in a day a discrete random variable, a continuous random variable, or not a random variable?
Answer:
The random variable is discrete. :)
Step-by-step explanation:
Si 4/9 de los adolencentes que confirmaron su asitencia fueron varones y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron y 24 que confirmaron su asistencia si participaron ¿cuantos adolecentes en total confirmaron su asitencia?¿Cuantos adolencentes varones confirmaron su asistencia?
Answer:
216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
Step-by-step explanation:
Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:
5/9 x 1/5 = 24
5/45 = 24
1/45 = 4.8
4.8 x 45 = 216
216 / 9 x 5 = 120
216 / 9 x 4 = 96
Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
Select the correct answer. Help
Solve for xx. Round to the nearest tenth, if necessary.
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{x}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
sketch the graph of y² = -2x + 5
Answer:
[tex] {y}^{2} = - 2x + 5[/tex]
Step-by-step explanation:
vertex = [tex]( \frac{5}{2} \: ,0)[/tex]
Hope it is helpful....Could someone help me please
Answer:
none of them because their is no value of side MN and AC
Please tell me the ans fast
Answer:
B
Step-by-step explanation:
mgh=PE
(5)(9.8)(2.5)=pe
122.5j=pe
Find the value of x. PLEASE HELP ASAPPPPPP
Answer:
5
Step-by-step explanation:
(38 + 6x - 6) ÷ 2 = 7x -4
multiply both sides by 2
(38 + 6x - 6 = 2( 7x - 4)
38 + 6x - 6 = 14x - 8
32 + 6x = 14x - 8
40 = 8x
x = 5
Midsegments are the average of both bases.
Helppppp and explain !!!!
Answer:
dat I don't know the answer sorry I could not answer u
if you want to make some money and do my acellus academy math and science subject in 1 day ill pay $25 dollars
Answer:
no tHank you hope someone can help
Step-by-step explanation:
Linda had dinner at a restaurant for $56 and leaves behind a tip of 18%. What is the tip amount?
Answer:
[tex] = \frac{18}{100} \times 56 \\ = 10.08 \: dollars[/tex]
Answer:
$10.08
Step-by-step explanation:
To solve for the tip amount, we multiply 56 by 0.18.
56 · 0.18 = 10.08.
Linda tipped $10.08.
what is the equation of the parabola?
A blue chip company that makes computer chips found that 2 out of
every 300 chips are defective. What is the percentage of the defective
chips?
RE
со
Answer: Approximately 0.667%
Work Shown:
2/300 = 1/150 = 0.00667 = 0.667%
So less than 1% of the chips are defective.
Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Look at image for reference
Answer:
(3)11
Step-by-step explanation:
We are given that
[tex](x^2-12x+35)(x^2+10x+24)=504[/tex]
We have to find the sum of positive roots of the equation.
[tex]x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504[/tex]
[tex]x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504[/tex]
[tex]x^4-2x^3-61x^2+62x+840-504=0[/tex]
[tex]x^4-2x^3-61x^2+62x+336=0[/tex]
Factor of 336
2,3,4,6,8,7,
Let x=2
[tex]2^4-2^4-61(2^2)+62(2)+336\neq0[/tex]
x=2 is not the root of equation
x=-2
[tex](-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0[/tex]
Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3
[tex]3^4-2(3^3)-61(3^2)+62(3)+336=0[/tex]
Therefore, x=3 is the root of equation.
[tex](x+2)(x-3)(x^2-x-56)=0[/tex]
[tex](x+2)(x-3)(x^2-8x+7x-56)=0[/tex]
[tex](x+2)(x-3)(x(x-8)+7(x-8))=0[/tex]
[tex](x+2)(x-3)(x-8)(x+7)=0[/tex]
[tex]x-8=0\implies x=8[/tex]
[tex]x+7=0\implies x=-7[/tex]
Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.
Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
- 4x2 + 2x - 5(1 + x)
What expression is equivalent to the given expression?
Answer:
4x² + 3x + 5
Step-by-step explanation:
Given:
- 4x² + 2x - 5(1 + x)
Open parenthesis
= - 4x² + 2x - 5 - 5x
= - 4x² + 2x - 5x - 5
= - 4x² - 3x - 5
Multiply through by -1
= - 1( - 4x² - 3x - 5)
= 4x² + 3x + 5
Write
4 in the first box
3 in the second box
5 in the third box
Christopher's car can drive 230 miles on a full tank of gas. He plans to drive with a full tank from Austin to Dallas, which is 195 miles. How many miles will be left once he arrives in Dallas?
Answer:
35 miles
Step-by-step explanation:
Total Miles driven at full tank = 230 miles
Miles drive at full tank from Austin to Dallas = 195 miles
How many miles will be left once he arrives in Dallas?
Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas
= 230 miles - 195 miles
= 35 miles
1
What is the value of x in the equation x - y = 30, when y = 152
200
[tex]\displaystyle\bf 1) \ if\ y=152 \Longrightarrow x=30+152=182 \\\\2) \ if \ y =200 \Longrightarrow x=200+30=230\\\\3) \ if \ y=80 \Longrightarrow x=30+80=110\\\\4) \ if \ y=4 \Longrightarrow x=4+30=34 \\\\5)\ if \ y=8 \Longrightarrow x=30+8=38[/tex]
Find the length of line segment XY, assuming that M is the midpoint of XY
Answer:
Step-by-step explanation:
M is the midpoint. SO length of XM equals length of MY
MY = XM
9x + 12 = 5x + 8
Subtract 12 from both sides
9x = 5x +8 - 12
9x = 5x - 4
Subtract 5x from both sides
9x - 5x = -4
4x = -4
Divide both sides by 4
x = -4/4
x = -1
XY = 5x + 8
= 5*(-1) + 8
= -5 + 8
XY = 3
MY = 9x + 12
= 9*(-1)1 + 12
= -9 + 12
MY = 3
X Y = 3+3
XY = 6