find the ordered pair (x,y) that is a solution to the equation
x-4y=8
Answers
Answer:
(4,-1)
Step-by-step explanation:
x-4y=8
-4y=-x+8
y=1/4x-2
The solution to the equation x - 4y = 8 is an ordered pair (4,-1).
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The equation is given in the question, as follows:
x - 4y = 8
To determine the ordered pair (x,y) of the solution, substitute the value of x = 4 in the equation, and solve for y:
4 - 4y = 8
- 4y = 8 - 4
- 4y = 4
y = - 4/4
Divided by -4 into both sides of the equation, we get
y = - 1
Thus, the solution to the equation is an ordered pair (4,-1).
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Related Questions
A rectangle has its diagonal length increased from 5 cm to 25 cm. The new rectangle is similar to the original one. The original perimeter was 14 cm. What is the measure of the new perimeter?
Answers
Answer:
The measure of the new perimeter is 70cm.
Step-by-step explanation:
I thought putting up a picture would be easier than explaining it all. The picture is how you would write out the problem.
The original rectangle's measures were 5cm and 14cm. The new rectangles measures are 25 cm and X (We don't know yet.) So write it out. 5cm is to 14cm as 25cm is to X.
5cm/14cm = 25cm/X
Cross multiply. (The arrows I drew. Multiply diagonally.)
You should get
350 = 5X
We need to get X by itself, so divide both sides by 5.
5X/5 leaves X left
350/5 leaves 70
70 = X
Sammy buys his clothes at SuperDuper Discount Store. On Saturday, he bought shoes regularly priced at $40 for 25% off, and a jacket regularly priced at $100 for 30% off. What is the total amount that he will have to pay? (Omit sales tax.)
Answers
Step-by-step explanation:
I know, that's probably a lot to take in! :D
40 × 25% = 10
40 - 10 = 30
The final price of the shoes is $30.
100 × 30% = 30
100 - 30 = 70
The final price of the jacket is $70.
30 + 70 = 100
A N S W E R:
The total price of the items Sammy bought (no including sales tax) is $100.
Choose two numbers from this list: 3, 4, 6, 12. Explain the difference between finding the greatest common factor and least common multiple of the two numbers.
Answer in at least 2 complete sentences.
Answers
Now to find the least common multiple, you can set two tables, one of the multiples of 6 and another of the multiples of 12 and see what numbers they have in common and select the smallest number of the multiples they have in common.
If 9 fully loaded trucks carry a total of 140,400 pounds, how many pounds can 3 trucks carry?
Answers
Answer: 7000,200 pounds
Step-by-step explanation:
Answer:
46,666.7 pounds for three trucks.
Step-by-step explanation:
Set up a proportion. Find out what 1 truck will carry.
x/1 = 140,000 pounds/9 I take that the period should be a comma.
x = 15555.6 pounds
Now Three trucks out to carry 3 times as much.
3*15555.6 = 46666.7 pounds
Find the slope of the line
Answers
Can someone help me with these questions. (Answer 1 or answer them all I don't care.)
Answers
Answer:
1 is 6.5 2 is b 3 is A
Step-by-step explanation:
Put the following fractions in order from least to greatest, 1/8 2/5, 3/5, 1/6 1/4, 2/3, 1/3
Answers
Answer:
Order from Least to Greatest
1/8 < 1/6 < 1/4 < 1/3 < 2/5 < 3/5 < 2/3
Step-by-step explanation:
A fraction is a way to describe a part of a whole. The given fractions can be arranged as shown below.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
In order to put the following fractions in order from least to greatest, we need to take the LCM of the fraction so that all the fractions have the same denominator.
1/8, 2/5, 3/5, 1/6, 1/4, 2/3, 1/3
Since the LCM of 3, 4, 5, 6, and 8 is 120. Therefore, the fractions can be written as,
1/8 = (1/8) × (15/15) = 15/120
2/5 = (2/5) × (24/24) = 48/120
3/5 = (3/5) × (24/24) = 72/120
1/4 = (1/4) × (30/30) = 30/120
2/3 = (2/3) × (40/40) = 80/120
1/3 = (1/3) × (40/40) = 40/120
Now, the fractions can be arranged as,
15/120 < 30/120 < 40/120 < 48/120 < 72/120 < 80/120
Rewriting the fraction in there original form,
1/8 < 1/4 < 1/3 < 2/5 < 3/5 < 2/3
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The ratio of boys to girls in the schools' math team is five to six. Which combination of boys to girls could the team have?
ten boys to twelve girls
thirty boys to twenty five girls
twenty five boys to thirty girls
eighteen boys to fifteen girls
twelve boys to ten girls
fifteen boys to eighteen girls
Answers
Answer:10 boys to 12 girls or 15 boys to 18 girls
Answer:
It is ten boys to twelve girls
Step-by-step explanation:
Take the number of boys to the number of girls. There is only two teams so multiply both teams by two and you'll get your answer. ( hope this made since)
Which algebraic expression represents “the apples were divided equally into seven boxes”? 7 + a 7a StartFraction 7 Over a EndFraction StartFraction a Over 7 EndFraction
Answers
Answer:
ITS D
Step-by-step explanation:
Answer:
The answer is D on e d g e n u i t y
Step-by-step explanation:
So I was doing a hooda math escape game, and forgot how to do these. Can you help me?
Answers
to find the radius you divide the circumference by 2pi
area is pi times radius to the 2nd power
00:00
Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle.
Part A
If Mia will pay a total of $444 in interest, how much money did she initially borrow? Enter your answer in the box.
$
00:00
Part B
How much interest would Mia pay if the simple interest rate were 5%? Enter your answer in the box.
$
Answers
Answer:
Part A: She borrowed: 3700
Part B: She would pay 555 in interest.
Step-by-step explanation:
Since, simple interest is,
Where, P is the principal amount,
r is the annual rate of interest,
t is time ( in years ),
Part A : Here, S.I. = $ 444,
t = 3 years,
r = 4 %,
Thus,
Hence, She borrowed $ 3700.
Part B :
Here, r = 5 %, t = 3 years, P = $ 3,700,
Hence, She would pay $ 555 interest.
TIMED UNIT TEST
Hector must find the sum of 50 + 83 + 50 by using mental math. Which property allows Hector to simplify the equation to 50 + 50 + 83 and find an equivalent sum?
associative property
commutative property
distributive property
identity property
Answers
because you can move the numbers around to get your answer
There are approximately 7.5 × 10 18 grains of sand on Earth. There are approximately 7 × 10 27 atoms in an average human body. Are there more grains of sand on Earth or atoms in an average human body? How do you know?
Answers
Answer:
147
Step-by-step explanation:
i used a calculator/ kinda common since
Answer:
7.5 x 10^18 = 7500000000000000000
7 x 10^27 = 7000000000000000000000000000
Step-by-step explanation:
Therefore, there are more atoms in the human body.
Match each quantity in the first list with an appropriate unit of measurement from the second list.
g
1.
The volume of a refrigerator
2.
Distance a person can run in 10 minutes
3.
The surface area of a tissue box
4.
The perimeter of a baseball field
5.
The surface area of the moon
6.
The volume of a large lake
7.
The length of macaroni noodle
8.
The area of a bed sheet
a.
cubic kilometers
b.
square inches
c.
meters
d.
square kilometers
e.
centimeter
f.
mile
g.
cubic feet
h.
square feet
Match them up
Answers
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
What does the point (0, 0) on the graph represent?
A. The cost of one bag of peanuts
B. The cost of zero bags of peanuts
C. The cost of two bags of peanuts
D. The cost of three bags of peanuts
Answers
Answer:
B
Step-by-step explanation:
Which ratio is equivalent to 1 to 2?
Group of answer choices
2 to 4
2 to 1
1 to 4
17
Answers
Answer:
2:4 is the correct answer
Step-by-step explanation:
For art class, Mia needs to cut out triangles that take up exactly 9 cm². Which is a possible measurement?
9cm base, 2cm height
18 cm base, 1 cm height
6cm base, 3 cm height
all of the above
Answers
PLEASE HELP, ASAP!!! I WILL GIVE A THANKS, 5-STAR RATING, AND BRAINLIEST!!!
*Also, please include the coordinates of the new line and fill the blanks*
*If can't do all, at least do half*
Answers
The florist makes the greatest number of identical arrangements with the carnations and asters. She has 72 carnations and 42 asters. How can she decide how many carnations to place in each arrangement?
A. Subtract the number of asters from the number of carnations.
B. Divide the number of carnations by the GCF of 72 and 42.
C. Find the least common multiple of 72 and 42.
D. Find the greatest common factor of 72 and 42.
Answers
Answer:
B.
Step-by-step explanation:
Divide the number of carnations by the GCF of 72 and 42.
PLZ HELP ME IM VERY CONFUSED! BRAINLIEST TO THE FISRT PERSON WITH WORK! AND 50 POINTS! AND ONLY ANSWER IF YOU HAVE AN ANSWER!!!!!!!!!!
The Hamptons Family has a fish tank holding 10,450 ml of water. The water is leaking at a rate of 270 ml per minute.
Part A: Define the input and output in the given scenario.
Part B: Write a function to model this situation.
Part C: How many liters of water will be left in the tank after 10 minutes
(hint: liters, not milliliters)
Answers
Answer:
The output would depend on the input so relating this to the question, the input is the time (in minute) and the output is the amount of water left in the tank
We can give a letter 't' for the time, the input, and f(t) for the output
----------------------------------------------------------------------------------------------------------------
The original amount of water in the tank is 10450, so this will be the fixed constant.
The amount of water lost per minute is 270 so this will be the term that varies depends on the variable of time, we write this as 270t
The function is given f(t) = 10450 - 270t
--------------------------------------------------------------------------------------------------------------
Given, t = 10
f(10) = 10450 - 270(10)
f(10) = 7750 ml
Step-by-step explanation:
Answer:
Part A:
Since the rate of 270 ml per minute has units of ml per minute, then yy must have units of ml and x must have units of minutes. The input must then be the number of minutes the tank is leaking for and the output is the number of ml of water remaining in the tank.
Part B:
Since the tank is leaking 270 ml per minute, then after x minutes, 270x ml of water has leaked out of the tank. The tank initially has 10,450 ml of water so after x minutes, there is y=10,450−270x ml remaining in the tank.
Part C:
After x=10 minutes, the amount of water remaining in the tank is y=10,450−270(10)=10,450−2,700=7,750 ml. There are 1,000 ml in 1 liter so 7,750 ml = 7.75 liters. There are then 7.75 liters of water left in the tank after 10 minutes.
(b+13)/2 = 5b/1.5
solve for b using scale factor.
Guys I'm completely lost... Can you please show your work so I know how to get the answer for future problems like this!!
Answers
Answer:
0
Step-by-step explanation:
(b+13)/2=5b/1.5
We move all terms to the left:
(b+13)/2-(5b/1.5)=0
We add all the numbers together, and all the variables
(b+13)/2-(+5b/1.5)=0
We get rid of parentheses
(b+13)/2-5b/1.5=0
Plz help I will mark brainlest on first answer!
Answers
1. D. 950 km
----------------------
3.8x250 = 950
2. C. PQ
------------------------------
XY corresponds to PQ
8. The figure shows a triangle ABC where
ZABC = 35. H lies on BC such that the length
of HC is twice that of BH. Find ZACB.
Answers
Answer:
theres no choices ?
Step-by-step explanation:
Answer:
{{BC,35H}}
Step-by-step explanation:
Can anyone help me?
I'll put all the questions here.
1) Describe the pattern that is being followed: 1, 5, 10, 16 . . .
What are the next two numbers in the sequence?
2) Describe the pattern that is being followed: 1, 3, 7, 15 . . .
What are the next two numbers in the sequence?
3) Describe the pattern that is being followed: 1, 2, 3, 5, 8 . . .
What are the next two numbers in the sequence?
Will mark brainly if you get all of them!!
Answers
Answer:
Step-by-step explanation:
1) 1 +4=5
5+(4+1) = 10
10 +(4+2)= 16......
2) 0+1 = 1
1+2 = 3
3+4 = 7
7+8= 15
ADD THE NEXT NUMBER 15+16 = 31
3) 0+1 = 1
1+1=2
2+1= 3
3+2 = 5
5+3= 8 8+5=13.........
The Question is Below;
Answers
Answer:
i think a few things are missing from this question
Step-by-step explanation:
What should the following rate be divided by to convert it to a unit rate?
6 inches
________
12 hours
Answers
Answer:
Unit rate is a rate that has 1 as denominator.
Given the rate: 6 inches / 12 hours, we have to divide numerator and denominator by 12 to transform the denominator in 1, as follows:
\frac{6}{12} = \frac{6/12}{12/12} =
12
6
=
12/12
6/12
= 0.5 inches/hour
You are canning 40 cups of applesauce. You have 20 glass jars, each of which will hold 134 cups of applesauce. Choose the correct explanation(s) that explain why you do not have enough jars.
Answers
Answer:
You DO have enough jars! I do not understand!
Step-by-step explanation:
You are only canning 40 cups. This will be filled in less than one jar!
Please help me with this problem
Answers
Answer:
The answer is 1.
Step-by-step explanation:
add 5 both sides
8y=8
divide 8 on both sides = 1
Answer:
It's an open circle at +1 going to -10 or <-----o
Step-by-step explanation:
HELP PLEASE I NEED IT NOW
Answers
Answer:
3rd option(more than 45)
Step-by-step explanation:
6-3=3
the difference in each person's cost
how many people it takes to make up the 135 dollars extra
135/3=45
Help!!!!! This is the last one.
Answers
Answer:
C. 12 pages
Step-by-step explanation:
Doreen can get done 2 pages in 5 minutes. there is 30 min in half an hour so 5÷30=6
6x2=12
sorry I am not The best in explaining.