Step-by-step explanation:
-3x+7y = -18 ...1
4x-4y = 8 ...2
...1 × 4
-12x + 28y = -72 ...3
...2 × 3
12x - 12y = 24 ...4
...3 + ...4
28y - 12y = -72 + 24
16y = -48
y = -3
Replace y = -3 in ...2
4x - 4(-3) = 8
4x + 12 = 8
4x = 8 - 12
4x = -4
x = -1
Answer:
[tex]\huge\boxed{\boxed{(x,y)=(-1,-3)}}[/tex]
Step-by-step explanation:
multiply first equation by 4 and second by 3 respectively:
[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]
combine the equations:
[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]
divide both sides by -48:
[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]
substitute the value of y to the second equation
[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]
simplify multiplication:
[tex] \displaystyle \: 4x + 12 = 8[/tex]
cancel 12 from both sides:
[tex] \displaystyle \: 4x = - 4[/tex]
divide both sides by 4
[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]
therefore our solution is
[tex]\displaystyle (x,y)=(-1,-3)[/tex]
What is the equation of the line that passes through the point (-4,-3)and has a slope of 3/4
Answer:
y=3/4x
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=3/4(x-(-4))
y+3=3/4(x+4)
y=3/4x+12/4-3
y=3/4x+3-3
y=3/4x
please please complete the picture
Answer:
mode=most common answer
Step-by-step explanation:
1.12
2.9
3.1.8
4.56
5.5.9
The value, v, does not equal 2 1/2
Answer:
We are going to need the whole question dear <3
Answer:
I need help to
Step-by-step explanation:
6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long how tall is the flagpote?
Answer:
forstone
Step-by-step explanation:
sike I lied I dont know this RESPECTFULYY!!
hi please help i’ll give brainliest please
Answer:
45
Step-by-step explanation:
20+25
identify the slope of the graph below
show work please
Answer:
0
Step-by-step explanation:
Slope is 0 in any horizontal line12 i
REASONING Target A has a circumference of 20 feet. Target B has a diameter of 3 feet. Both targets are the same
distance away. Which target is easier to hit?
Answer:
target a
Step-by-step explanation:
target b has a 6 ft. circumference
Together with the interest of 15%, in 20 days an amount of 5445 dollars was received. What is the capital, and how much is the interest?
Answer:
$5400
$45
Step-by-step explanation:
Interest = principal x interest rate x time
principal = p
interest rate = 15%
time = 20/365 = 0.054795
Interest = 5445 - p
5445 - p = 0.15 x p x 0.054795
5445 - p = 0.008219p
Collect like terms and solve for p
p = $5400
Interest = 5445 - 5400 = $45
Find the volume of the cereal box. Use the formula V=Bh
Answer:
195
Step-by-step explanation
7.5(2)=15
v=bh
v=(15)(13)
v=195
Miles got 23 out of 25 questions correct on his test. What percent did he get correct?
Answer: Miles got 92% correct on his test
Step-by-step explanation:
Answer:
92%
Step-by-step explanation:
25=100%
23=? crisco
23×100/25= 92%
What is an equation of the line that passes through the points (-7, 3) and (-4, 3)?
Answer:
y=3
Step-by-step explanation:
y=3 ZERO slope
Since each point has 3 (same number ) as y coordinate,this is a zero slope
You will see an horizontal line on the coordinate plan
There are TWO pictures here. Please show work
A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2
Answer:
64 feet
Step-by-step explanation:
Complete question
A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2. Find the maximum height reached by the ball.
At maximum height, the velocity of the ball is zero, i.e ds/dt =0
ds/dt = 64 - 32t
64 - 32t = 0
32t = 64
t = 64/32
t = 2secs
Substitute t = 2secs into the given equation;
Recall that s(t)=64t-16t^2
s(2) = 64(2) - 16(2)^2
s(2) = 128 - 16(4)
s(2) = 128 - 64
s(2) = 64 ft
Hence the maximum height reached by the ball is 64 feet
A city has a population of 320,000 people. Suppose that each year the population grows by 7%. What will the population be
after 15 years?
Use the calculator provided and round your answer to the nearest whole number.
Find a real-world example of this diagram. Next, write and solve a word problem about parallel lines and their associated angles based on your real-world example of the diagram.
Answer:
Step-by-step explanation:
A road
Can someone please help me I really need this
write down all the even number less than 100 that are prime numbers.
Answer:
2 is the only even prime number.
All the even numbers less than 100 that are prime numbers will be 2.
What is a prime number?A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.
If the number is divisible by 2 then the number will be an even number. Similarly, if the number is not divisible by 2 then the number will be an odd number.
The prime number from 0 to 100 is given below.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
All the even numbers less than 100 that are prime numbers will be 2.
More about the prime number link is given below.
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Sanjay works 37 hours at $10.57 per
hour
and 3 hours overtime at time-and-a-half.
What is his total pay?
Answer:
$422.80
Step-by-step explanation:
Answer: $428.09
Step-by-step explanation:
First let's add all the hours Sanjay worked;
37 + 3.5 = 40.5 total hours worked.
Now multiply the amount of hours he worked by $10.57.
40.5 x 10.57 = $428.09 of total pay.
Person 3 bought a brand new car for $22,000. A year later the car had depreciated 23%. How much did the car depreciate?
What is the value of the car now?
WHAT IS THE SURFACE AREA HELP
Answer:
SA = 348 cm squared
Which is the solution to the inequality?
2 3/5
Will give you Brainiest
Answer:
the third one
Step-by-step explanation:
basically b<47/15 =>
b<3* 2/15
HELP DUE IN 10 MINS!
The lighthouse is ?? feet above the water.
Answer:
Use tangent:
BL/BS = tan Sx / 144 = tan 25°x = 144 tan 25°x = 67 ft (rounded)Help show work I will mark brainliest
Answer:
1.46035
2.200
3. 236
Step-by-step explanation:
1. Formula: length x width x height
23x9x5=46035
2. Formula: triangle area (base x height / 2) x length
10 x 20 = 200
3. Formula: πr^2 x height
(5/2)^2 x 3.14 x 12 = 235.5 = 236
Answer and step-by-step explanation:
1. A=734
due to this stuff A=2(wl+hl+hw)=2·(9·23+5·23+5·9)=734
3. A≈227.77
due to this A=2πrh+2πr2=2·π·2.5·12+2·π·2.52≈227.76547
2. the other guy is right
Solve for x.
3/4(8x-12) = 2/3(6x+12)
A restaurant is offering 2 specials: 15 burritos for $12, or 9 burritos for $7.50. Noah needs 90 burritos for his party. Should he buy 6 orders of the 15-burrito special or 10 orders of the 9-burrito special?
Answer:
15 for $12 special
Step-by-step explanation:
It costs $72 for the 15 for $12 while it costs $75 for the 9 burrito special.
Answer:
9 burritos
Step-by-step explanation:
i think thats right if not sorry
If arc VY = 132° and ∠YUV = 41°, what is the measure of arc XV?
Answer:
50
Step-by-step explanation:
Use this equation
[tex] \frac{b - a}{2} = angle \: yuv[/tex]
where b is arc VY, A is arc XV.
Substitute the equation in
[tex] \frac{132 - a}{2} = 41[/tex]
[tex]132 - a = 82[/tex]
[tex] - a = - 50[/tex]
[tex]a = 50[/tex]
so our arc measure is 50
What is the measure of angle 1?
920
2.
86
88°
90°
92°
Answer:
m∠1 = 88°
m∠2 = 92°
Step-by-step explanation:
From the given figure lines 'k' and 'm' are the parallel lines and line 'L' is the transversal line,
m∠1 + 92° = 180° [Sum of consecutive exterior angles is 180°]
m∠1 = 180 - 92
m∠1 = 88°
m∠1 + m∠2 = 180° [Linear pair of angles are supplementary angles]
88° + m∠2 = 180°
m∠2 = 180 - 88
m∠2 = 92°
write the inequality in words 1/3n-10>22
Answer:
10 is subtracted from a third of a number is greater than 22
Step-by-step explanation:
1/3n-10>22
you subtract 10 from 1/3n
1/3 - 10 is greater than 22
so:
10 is subtracted from a third of a number is greater than 22
64x+132y=1040
whats the cost of each x and each y
Answer:
y= 260/33 - 16x/33
x= 65/4 - 33y/16
Step-by-step explanation:
hope this helps ;')
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
4n3+6n2
Answer:
2n^2
Step-by-step explanation:
The greatest common factor (GCF) in a polynomial is the factor by which all the terms in the polynomial can be divided. In order to find this factor, you need to completely factor both terms in the polynomial and then note down which ones they have in common:
Step 1: 4n^3 + 6n^2 (Given polynomial)
Step 2: 2*2*n*n*n + 2*3*n*n (Factor the polynomial)
Step 3: 2*2*n*n*n + 2*3*n*n (Identify shared factors)
Step 4: 2*n*n = 2n^2; the GCF is 2n^2 (Multiply the shared factors by each other to get the GCF)
The greatest common factor of the above polynomial is [tex]2n^{2}[/tex].
We have a polynomial as -
[tex]4n^{3} +6n^{2}[/tex]
We have to find out the greatest common factor of this polynomial.
Define Greatest common factor.The greatest factor is the largest number that is the factor of two or more numbers.
We have the following polynomial -
f(n) = [tex]4n^{3} +6n^{2}[/tex]
We can write the function as -
f(n) = [tex]f_{1}(n) +f_{2}(n)[/tex]
In order to find the greatest common factor, take out all the common terms from the individual functions [tex]f_{1}(n)[/tex] and [tex]f_{2}(n)[/tex].
Therefore, we can write the above function f(n) as -
f(n) = [tex]2n\times2n^{2} + 2n^{2}\times3 \;\;= \;\;2n^{2} (2n +3)[/tex]
Hence, the greatest common factor of the above polynomial is [tex]2n^{2}[/tex].
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