Solve the system of linear equations. 4x + 6y = 12 x + 2y = 10 The solution is
Answer:
x = -18, y = 14
Step-by-step explanation:
4x + 6y = 12
x + 2y = 10
Divide both sides of the first equation by 2. Write the second equation below it.
2x + 3y = 6
x + 2y = 10
Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.
2x + 3y = 6
(+) -2x - 4y = -20
-------------------------
-y = -14
y = 14
Substitute 14 for y in the second equation and solve for x.
x + 2y = 10
x + 2(14) = 10
x + 28 = 10
x = -18
Solution: x = -18, y = 14
HELP ASAP
Ben travels by train 19 miles to work if ben travels 8 times a week how many miles does he travel
Answer: 152 miles
Step-by-step explanation:
19 x 8 = 152
what is 0.8 1/10 of?
A hot air balloon rose from a height of 100 meters to 450 meters in 3
minutes. What was the balloon's rate of change
Answer:
350 meters.
Step-by-step explanation:
Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 5 limbs, lost 12 limbs, and grew another 2 limbs. How many limbs does the mutant-zombie have compared to yesterday?
Write an equation in slope-intercept form that would have infinitely many solutions in a system of equations with 5x+2y=8
Answer:
y=5/2x-4
Step-by-step explanation:
got it right on my math assignment
The required equation of line in the slope-intercept form will be [tex]y=-\dfrac{5}{2}x+4[/tex].
The given equation of line is [tex]5x+2y=8[/tex].
It is required to write the equation of a line in the slope-intercept form which has infinitely many solutions in the system of equation with the given line.
The system of equations has infinitely many solutions when the equations are the same or all of their coefficients are in the same ratio.
So, the other equation could be,
[tex]k(5x+2y)=8k\\5x+2y=8[/tex]
Now, the equation in slope-intercept form can be written as,
[tex]5x+2y=8\\2y=-5x+8\\y=-\dfrac{5}{2}x+4[/tex]
where the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is 4.
Therefore, the required equation of line in the slope-intercept form will be [tex]y=-\dfrac{5}{2}x+4[/tex].
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A plumber charges a one-time service fee of $20 in addition to his hourly
rate of $25 per hour. If the plumber went to your house to work on your
bathtub and the bill came to $145.00, how many hours did it take him to
complete the job?
Answer:
Three hundred fifty-five
Answer: 10.5
Step-by-step explanation:
20+25x=282.50
Subtract 20 on both sides
262.50
Divide each side by 25
You get 10.5
What’s the common difference for this arithmetic sequence: 23,__,__,50...
9514 1404 393
Answer:
9
Step-by-step explanation:
The 4th term is the sum of the first term and 3 times the common difference.
50 = 23 + 3d
27 = 3d
9 = d
The common difference is 9.
__
The first few terms are ...
23, 32, 41, 50, 59, 68, ...
right so its saying im wrong so witch number is the biggest
32 286
19 682
20 318
32 665
22 382
i put the top one but appearnly its wrong it probs me being stupid i dont know please help 10 points avabile
Answer:
682 is the biggest number but if it is talking about the two numbers added then it is 19 and 682
Edit: If there is supposed to be a comma in-between the two pairs of numbers then the answer would be 32,665. I didn't think they could have been commas at first but if they are then 32,665 is the answer.
Step-by-step explanation:
682 is bigger than all the others. 19 + 682 is bigger than all the other paired ones.
If 125 students take a test in psychology and 20 get scores of less than or equal to 50%, then what is the percentile rank of a test score of 50%?
Group of answer choices
12
20
50
16
Answer:
20
Step-by-step explanation:
Solve for h.
-110 = 13 + 3 (4h - 6)
Answer:
h= -35/4
Step-by-step explanation:
decimal form: -8.75
Mixed number form: -8 3/4
help pls I really need help can anyone help me
Answer:
you didn't screenshot/take the photo fully...
we can't see it.
Step-by-step explanation:
Find the distance between points M(6,16) and z (-1,14) to the nearest tenth
Answer:ririiriririrjrhr
Step-by-step explanation:
Eudueuei3iei
Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. Step 1: 4 x − 3 − 2 x − 5 Step 2: 2 x − 8 C. Step 1: 4 x − 3 − 2 x − 10 Step 2: 2 x − 13 D. Step 1: 4 x − 3 + 2 x + 10 Step 2: 6 x + 7
Answer:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
Step-by-step explanation:
Given the expression;
(4 x − 3) − 2 (x + 5)
The following steps/ procedure are to be taken when simplifying the expression.
open the parenthesis
(4 x − 3) − 2 (x + 5)
= 4x-3 -2(x)-2(5)
= 4x-3-2x-10
collect the like terms
= 4x-2x-3-10
simplify the resulting expression
= 2x-13
Hence the procedure that correctly simplifies the expression are:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply. x = z x + y = 180° x + z = 180° x = y z = 180°
The equations that would guarantee that lines p and q are parallel are;
x = z
x + y = 180°
The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.
From the image given;
We see that a transverse line cuts across the two parallel lines p and q. Thus;
We can see that x and z are corresponding angles and as such, we can say that; x = z.
Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.
Thus; y + z = 180°
Since x = z, then by substitution property of equality, we can say that;
x + y = 180°
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Answer:
Step-by-step explanation:
A and B
Find the 64th term of the arithmetic sequence 2, -3,-8
Answer:
-313
Step-by-step explanation:
a1=2; d=-5
a64=2-5(64-1)=-313
The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.
What is Arithmetic sequence?
An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The arithmetic sequence;
⇒ 2 , -3 , -8 ...
Now,
The general equation for nth term of the arithmetic sequence is,
[tex]T_{n} = a + (n - 1) d[/tex]
Where, The term 'a' represent the first term.
And, 'd' represent the difference between each consecutive numbers.
Here, In the arithmetic sequence 2 , -3, -8;
The first term = 2
The difference = -3 - (2) = - 5
So, To find the 64th term of the arithmetic sequence, we can substitute
n = 64 and a = 2 and d = -5 in above formula as;
[tex]T_{n} = a + (n - 1) d[/tex]
[tex]T_{64} = 2 + (64 - 1) (-5)[/tex]
[tex]T_{64} = 2 + (63 * -5)[/tex]
[tex]T_{64} = 2 - 315[/tex]
[tex]T_{64} = -313[/tex]
Thus, The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.
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Will a non-metal replace a metal?
Yes
No
Answer:
No
Step-by-step explanation:
I think only a metal can replace a metal, not a non-metal replace a metal
I need help with this.
Answer:
x2 + 8 = 28
The value of x2 is 4.48
Step-by-step explanation:
Hope this is what you were asking for :)
There are 12 kittens. If they all average 4.7 pounds, what is the total weight of all 12 kittens
Answer:
56.4 pounds
Step-by-step explanation:
Multiply 12 (kittens) by 4.7(pounds) and you get 56.4 pounds, the total weight of the kittens combined.
|x-1=-3
Solve for x.
Answer:
x-1=3
x=3+1
x=4
Which organism shares the most similarities with humans?
fern
jellyfish
lobster
snake
Answer:
snake
Step-by-step explanation:
Snake, being a reptile, is the closest to humans as per the phylogenetic analysis. In this case which is the lobster. Then comes the jelly fish according to the tree of life.
Answer:
snake
I took the test
1 9/7 ÷ 5/4 please help me
Answer:
64/35
In mixed number form: 1 29/35
Step-by-step explanation:
Thats my fasted record for solving a division problem hehe :) You're welcome!
Help plz. If correct, I follow you or mark brainlist
Answer:
I believe 60 square units in the white rectangle and and 140 square units in the blue. Together would be 200 square units...i think...im sorry if i'm wrong
Step-by-step explanation:
because lxw, 10x6, and lxw, 14x10, add you get 200
A virus is spreading around Dover. At the moment, 310 people are infected. If the virus is spreading at a rate of 10% each day, how many people in all will have caught the virus in 14 days?
Answer:
434 people
Step-by-step explanation:
10% of 310 is 31
so, 31 × 14 days is 434
so its 434 people
A club has 800 members. 100 of the members were randomly picked and were asked if the dues should be raised. 6 of the members said that dues should be raised. Based on these results, about how many members in the club would be expected to say that dues should be raised?
Answer:
About 48 members would be expected to say that dues be raised
Step-by-step explanation:
Here, we shall be using a case of a representative sampling to determine the actual.
Out of the 100 selected members, 6 said the dues should be raised;
This represents a percentage of 6/100 = 6%
So out of the 800, the expected number of members that would ask for a dues raising will be;
6/100 * 800 = 48
-4/5(-8x+6)=1+7 Please Help
Answer:
x = 2
Step-by-step explanation:
-4/5(-8x + 6) = 1 + 7 (distribute first)
6.4x -4.8 = 8 (add 4.8 on both sides)
6.4x = 12.8 (divide by 6.4)
x = 2
PLUG IN
-4/5(-8(2) + 6) = 1 + 7
-4/5(-16 + 6) = 8
-4/5(-10) = 8
8 = 8
What is the remainder when (x4 + 36) is divided by (x2 – 8)?
Answer:
x^5/y for x
Step-by-step explanation:
Answer:
The answer is C 100
Step-by-step explanation:
What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m of AB using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)
m = [tex]\frac{2-2}{-3-6}[/tex] = [tex]\frac{0}{-9}[/tex] = 0
A line with a slope of zero is a horizontal line, parallel to the x- axis.
Thus a line perpendicular to AB is a vertical line parallel to the y- axis.
The slope of a vertical line is undefined
Line A has a slope of −3 . Line B has a slope of 4. Line C has a slope of 2
Which Line Is The Closest To Being Horizontal?
- Line A
- Line B
- Line C
- I dont Know
The line whose absolute value of the slope is least will be the slope which is close to being horizontal. Hence, line C is the answer.
An horizontal line has will have a slope value of 0. Hence, the steeper the slope, the greater the absolute value of the slope obtained. This means that a line deviates more from being horizontal as the absolute value of the slope increases.Therefore, the line with least absolute value would be the closest to being horizontal, hence, line C with an absolute value of 2.
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Whitne bought 10 bagels for brunch last Sunday. 8 of the bagels had raisins. What fraction of the bagels had raisins?
Answer:
8/10 bagels had raisins :)