Answers
Answer:
2.x = -1 , y = 4
3.
x = 7, y = -1
4.
x = 1, y = 2
Step-by-step explanation:
2. 6x + 2y = 2, -3x - 4y = -13
3. 4x + 8y = 20, -4x + 2y = -30
4. y = -3x + 5, 5x - 4y = -3
2.We have to determine the solutions of this system of equations, basically look for x and y. First, let's solve through elimination.
6x + 2y = 2
-3x - 4y = -13
Multiply the second equation by 2 :
6x + 2y = 2
-6x - 8y = -26
Add the equations and solve for y :
-6y = -24
Divide both sides by -6 :
y = 4
Now that we have found y, we can substitute 4 in y of the first equation :
6x + 2(4) = 2
6x + 8 = 2
Subtract 8 from both sides :
6x = -6
Divide both sides by 6 :
x = -1
3.
4x + 8y = 20
-4x + 2y = -30
We are asked to solve in elimination style, do as followed :
4x + 8y = 20
-4x + 2y = -30
Add and solve for y :
10y = -10
Divide 10 from both sides to get y alone :
y = -1
Now that we know y, we can substitute it into the first equation :
4x + 8(-1) = 20
4x - 8 = 20
Add 8 to both sides :
4x = 28
Divide 4 from both sides :
x = 7
4.
y = -3x + 5
5x - 4y = -3
We are asked to solve with substitution :
Since the first equation has y alone, we can replace it with y in the second equation :
5x - 4(-3x + 5) = -3
Distribute :
5x + 12x - 20 = -3
Combine like terms :
17x - 20 = -3
Add 20 to both sides :
17x = 17
Divide 17 from both sides :
x = 1
Now that we know y, we can substitute x in the first equation with 1 :
y = -3(1) + 5
y = -3 + 5
y = 2
Related Questions
Glenda runs 5 miles in 40 minutes. If she continues at the same rate, can she run 14 miles in 120 minutes? Yes? No? Why?
Answers
Answer:
yes
Step-by-step explanation:
40 divided by 5 equals 8 and 120 divided by 14 equals 8.5. they are in the same number range.
A right triangle has legs with lengths 61 cm and 60 cm. What is the length of the hypotenuse
Answers
61^2 + 60^2 = 7321
Now square root your value, 85.6
The answer is 85.6 cm
Answer:
We gotta use Pythagorean theorem, fellas!
a^2 + b^2 = c^2
c^2 is the hypotenuse being squared.
a is a leg of a right triangle
b is another leg of a right triangle
------------------------------------------------------
we will use 61 for a
we will use 60 for b
a^2 + b^2 = c^2
61^2 + 60^2 = c^2
3721 + 3600 = c^2
7321 = c^2
[tex]\sqrt{7321}[/tex] = c (remember that c is hypotenuse)
c is rounded to 85.56 cm or 85.563 cm or 86 cm (depends on how the question wants the answer to look like)
ANSWER: 86 cm, 85.56 cm, or 85.563 cm
Terry is throwing a surprise party. She has invited 31 people. She is buying party favors that come in packages of 5. How many packages does Terry need to order so that she has enough for each guest to have one?
Answers
Answer:
Terry needs to buy 7 packages
Step-by-step explanation:
Terry has invited 31 people, meaning she needs 31 party favors
If they come in groups of five, we have to find how many packages(of 5) equal 31. Because 5 does not evenly multiply into 31, (it fits evenly inti 30) we have to add an extra package, meaning she will need 7 packages because 7×5 is 35, which is enough for each guest
Find the slope of the line
Answers
what is the slope of the equation?
y = -1/3x + 3
Answers
Answer:
-1/3
Step-by-step explanation:
y=mx+b
m=-1/3
Answer:
[tex] - \frac{1}{3}[/tex]
Step-by-step explanation:
y=mx+b
m stands for slope and -1/3 holds that postion
helpp with this :>!!!
Answers
Answer:
C: 24 = [tex]w^{2}[/tex] + 3 (the yellow option)
Step-by-step explanation:
We can see that 24 obviously represents our total area, we are told that the rug is 3 feet LONGER THAN it is wide, suggesting that addition will be involved.
In conclusion the most logical answer would be C: 24 = [tex]w^{2}[/tex] + 3
What does the graph represent?
HELPPPP 16 POINTS
Answers
Answer:
the answer is that the graph represents something more than one
Step-by-step explanation:
Unfortunately, I do not have the question but the circle on the number represents that the answer cannot equal one but anything after one can be the answer.
So 1.0000000001 can be an answer but 1 cannot
the arrow pointed toward the right represents that the answer is continuous which means that any answer above one will be correct.
On Saturday 1164 people saw movie at the up city theater on Sunday 1576 people saw the same movie there were a total of four movie screens with the same number of people in the audience about how many more people watched each screen on Sunday
Answers
Answer:
the number of more people watched each screen on sunday is 103
Step-by-step explanation:
The computation of the number of more people watched each screen on sunday is shown below:
= Sunday - saturday
= (1576 ÷ 4) - (1164 ÷ 4)
= 394 - 291
= 103 more people
hence, the number of more people watched each screen on sunday is 103
$12,000 deposit, simple interest at 8.5% for 5 years.
Answers
Answer:
$ 5100
Step-by-step explanation:
I= ?
p=$12000
r=8.5*1 /100=8.5/100
t=5yrs
I=P*R*T
= 12000*8.5*5 /100
=$ 5100
$12 for 5boxes of cereal
Answers
Answer:
12x5 = 60
Step-by-step explanation:
SO 60 boxes
btw you are welcome
Diagonal of a rectangle Pythagorean theorem
Answers
Answer:
a squared + b squared = c squared
find the base, that's a, find the other side, that's b
a*a+b*b=c*c
Helppppppppppppppppppppp
Answers
Answer:
3 bags
Step-by-step explanation:
Even though she will have extra she still will need 3 bags to get 12.
Answer:
3
Step-by-step explanation:
We know Ms.Smith is buying avocados and needs 12, we also are provided with the fact that she buys them in bags of 5.
If you take a look at the picture, we need to find a bag that fits 12 avocados in, this would be 3. As in 3 bags that contain 15 avocados in total, though excessive amount, this is the bag that she would need to benefit her the most.
You rented a bike to ride on the beach. The one-time fee was $12 and you were charged S5 per hour. It cost you a total of $27 to rent the bike. How many hours did you rent the bike?
Answers
Answer:
5 hours and 2 minutes?
Step-by-step explanation:
5,10,15,20,25 + the two=27
Answer: 3 hours
Step-by-step explanation: First you add the one time fee to the first hour. Which you get $17. Then you keep adding $5 until you get $27
Two classes at Liberty Middle School are setting up imaginary banks for an economics project. Class 1 has $50 in a savings account and makes a $5 deposit each day. Class 2 has $110 in a savings account and makes a $5 withdrawal each day. After how many days will both classes have the same amount of money in their savings accounts?
Answers
Answer:
6 days
Step-by-step explanation:
at 6 days they will both have $80
x+3<5
please i need the answer quick!!
Answers
x<5-3
x<2
so your answer is
[tex] - \infty < x < 2[/tex]
Question:
x + 3 < 5, Find x.
Answer
⟹ x + 3 < 5
( Subtracting 3 from both the sides of the inequality )
⟹ ( x + 3) - 3 < 5 - 3
⟹ x < 5 - 3
⟹ x < 2
It means that any number that is smaller than 2 will satisfy the inequality.
please help :) -2 3/4 - 6 5/9
Answers
Answer:
= -9 11/36
Step-by-step explanation:
-2 3/4 - 6 5/9
= -2 27/36 - 6 20/36
= -8 47/36
= -9 11/36
Andre wrote the expression 15(x - 3) to represent the relationship shown in the table
Write two other expressions that represent the relationship shown in the table
x (0,3,5,8)
Value of expression (-45, 0, 30, 75)
Answers
Answer:
15x - 45 and -45 + 15x
Step-by-step explanation:
1. 15(x-3)
2. 15(3) = 45
3. 15x-45
4. -45 + 15x = 15x-45
5(3x - 9) and 3(5x - 15) are the other two expressions.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
15 (x - 3)
This can be written as:
1)
5 x 3 (x - 3)
5(3x - 9)
2)
3 (5x - 15)
Thus,
The other two expressions are:
5(3x - 9) and 3(5x - 15).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Divide. Write the answer in simplest form.
\frac{5}{6}\div4
6
5
÷4
Answers
Answer:
3/10
Step-by-step explanation:
enter the equation of the line in the form =mx where m is the slope .
Answers
Answer:
y = 3x
Step-by-step explanation:
The line goes up 3 and goes across by 1. Using the rise over run structure, it will be 3/1 or 3. m is equal to the slope, making it y = 3x, since y doesn't intercept anything, you don't need to put + anything at the end. Hope I helped. :D
Find the total area of the figure. It is _______ square inches.
Answers
Answer:
1100 square inches
Step-by-step explanation:
Formula: LxW
Smallest rectangles area: 5*20=100= 1 rectangle
there are 2 smal rectangles so= 100*2=200
Medium rectangles area: 5*30=150
There are 2 so= 150*2= 300
Biggest rectangle: 30*20= 600
Total Area: 200+300+600= 1100 square inches
Find the area of the triangle below. Be sure to include the correct unit in your answer. 13 yd 9yd 4yd
Answers
Answer:
54.84 yd^2
Step-by-step explanation:
1/2BH
1/2(13)(8 7/16) = 54.84
Answer:
18.
Step-by-step explanation:
4yd is on the bottom.
9yd is on the left.
13yd is on the right.
The area for a triangle is [tex]\frac{1}{2} * b * h.[/tex] We add the numbers into the formula.
[tex]\frac{1}{2} *4*9 = 18.[/tex]
We do not use 13, because it is only going from one corner to the opposite corner. So, the answer is 18.
Hope this helped!
Please Help!! I will give 50 points and brainliest for the quick and correct answer
The question is attached below
Answer choices -
1.
A - exponential growth
B - exponential decay
2.
A - 0.98
B- 0.02
C - 1.02
3.
A - 1.02
B - 0.02
C - 0.98
4.
A - 11 and 12 years
B - 3 and 4 years
C - 9 and 10 years
D - 5 and 6 years
Answers
Answer:
1) A
2) A
3) C
4) D
Step-by-step explanation:
Exponential decay is for 1) because as the years pass, the depth decreases.
2) if it decreases by 2%, this means 100%-2%= 98%=0.98.
3) same as 2).
4) The equation for this situation can be represented with y=30(0.98)^x. when x is between 5 and 6, the depth of the lake is approximately 26.7 meters. So, it takes around 5 to 6 years for the depth of the lake to decrease to 26.7 meters.
-p^3+2p^2-p polynomial
Answers
Answer:
Not a polynomial
Step-by-step explanation:
A polynomial is a combination of terms separated by
+
or
−
signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.
we said that the ratio of girls to boys in the class was 2:9. if there were 90 boys in the 9th grade, how many girls are there
Answers
Answer:
20
Step-by-step explanation:
If the ratio of boys is 9 there are 90 boys. If 9=90 then 1= 10. 10 x 2 = 20
I hope this helps :0)
20 girls
Step-by-step explanation:
For every 9 boys there are 2 girls, so, if we have 90 boys, 9x10=90 and then since we have the 10 we use it to do 2x10 to get 20 girls
heyy could you help me out with this question I have been stuck in this question??
Answers
Answer:
Choice A.
Step-by-step explanation:
tan < ABC = 60/40
So m < ABC = 56.31 degrees.
This makes m < DBC = 56.31 / 2 = 28.15 degrees
tan 28.15 = DC / 40
DC = 40 tan 28.15
= 21.407 ft.
Some of the problems cities experienced as a result of rapid growth in the late 1800s included disease, crowded living spaces, and __________.
Answers
Answer:
poverty
Step-by-step explanation:
lack of workers makes no sense bcs the population was only increasing
limited recreational options don't make any sense either bcS that is not affected by population
and lack of transportation doesn't make any sense bcs it was the 1800's and people walked
Answer: B) Poverty
=====================================================
Explanation:
Unfortunately many people did not have much money to afford the basics such as a decent home and food to put on the table. Even if the person was working, they may be in a very dangerous job that provides little pay. An example could be a factory worker. So this is why choice B is the answer.
There were definitely plenty of able-bodied people, so there wasn't a shortage of workers. This allows us to rule out choice C. There also wasn't a lack of transportation since people either lived close and walked, or they had modes of transport such as rail or bike. Cars were starting to show up in the very late 1800s, but it wouldn't be until the early 1900s is when they became more commonplace. So we can rule out choice D.
Choice A can be ruled out since there were many recreation options such as going to the park or beach, or going to plays or classical music concerts, to name a few ways to have fun.
In the diagram below shows the cross section of a bridge with a semi circle hole. If the perimeter of the cross section is 24m. Calculate
B. Area of the cross section ( π =22/7)
Answers
Answer:
the area is 85.239 m²
Step-by-step explanation:
perimeter of a semi circle = ½πd
24 = ½ x 22/7 × d
24 x 7/11 = d
15.27 m = diameter...
area = ½πr²
= ½ × 22/7 x 7.365 x 7.365
= 85.239 m2
A ship has a circular
window with a radius of 10
inches. Find the area of the
window in square inches.
Answers
Answer: If this isnt wrong then I probably forgot how to do this... You plug in 10 with [tex]\pi[/tex]10^2. so then you'll get 100 time pi and youll get 314.159265.
Someone help please ASAP
Answers
Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
c because the probability of it being correct is around 43.76 and its better to take c than any other answer as the state of matter is plasma and it is green so the pubonic plauge is the one true answer
What is the slope of the line that passes through the points (-4,-1) and (-2,-5)?
Answers
Step-by-step explanation:
m= (-5+1)/(-2+4)
m= -4/2
m= -2