Answers
If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.
Solution -Given -
the ordered pairs (p, -1) and (5, q) belong to{(x, y): y = 2x-3)}
To find -
the values of p and qSolution -
{(x, y): y = 2x - 3}
Putting,
x = p and y = -1
[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}
[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p
[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}
[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]
[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]
{(x, y): y = 2x -3}
Putting,
x = 5 and y = q
[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}
[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3
[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]
[tex]\therefore\bf{p=1\:and\:q=7}[/tex]
Related Questions
Simplify the expression to a + bi form:
(-5 – 3i) – (11 – 9i)
Answers
Answer: -16 + 6i
Step-by-step explanation:
(-5-3i) - (11-9i)
expand parentheses:
-5 - 3i - 11 + 9i
combine like terms:
-16 + 6i
The ratio of adults to children is 16 to 10. If there are 40 adults, how many children are there? Complete the ratio table to find the number of children.
Adults 16 8 40
Children 10
25
30
20
15
Answers
Answer:
Answer: 25
Step-by-step explanation:
Ratio: 16:10
Number of adults=40
So,
16 = 40
10 x
16(x) = 40(10) [ CROSS-MULTIPLICATION ]
16x = 400 [ TRANSPOSE 16 TO THE RIGHT }
x = 25
Step-by-step explanation:
How do you solve -13+x=23+2x
Answers
Answer:
[tex]\boxed {x=-36}[/tex]
Step-by-step explanation:
[tex]\sf -13+x=23+2x[/tex]
[tex]\sf -13+x+13=23+2x+13[/tex]
[tex]\sf x=2x+36[/tex]
[tex]\sf x-2x=2x+36-2x[/tex]
[tex]\sf -x=36[/tex]
[tex]\sf \cfrac{-x}{-1}=\cfrac{36}{-1}[/tex]
[tex]\sf x=-36[/tex]
Between which two consecutive whole numbers can we find 96−−√?
A.7 and 8
B.8 and 9
C.9 and 10
Answers
Hoped it helped (:
The value of y is directly proportional to the value of x. When x=3.5, the value of y is 14. What is the value of y when x = 28?
Answers
Answer:
x = 7
Step-by-step explanation:
y = 14
14 x 2 = 28
Therefore:
3.5 x 2 = 7
Value of y is 112 when value of x is 28
Given that;
Value of y is 14 when x = 3.5
Find:
Value of y when value of x = 28
Computation:
We know that, y is directly proportional to x
So,
[tex]Value\ of\ y = 14[\frac{28}{3.5} ] \\\\Value\ of\ y = 14[8]\\\\Value\ of\ y = 112[/tex]
Learn more:
https://brainly.com/question/17692667?referrer=searchResults
Jake and his little brother are buying a birthday gift for their grandmother. His brother can contribute $10. Let m be the amount of money Jake can contribute.
A. Write an expression that represents how much Jake and his brother will spend combined.
B. Write an equation that models the situation if they want to spend $25 altogether.
C. Solve the equation to find out how much Jake must contribute if they spend $25.
Answers
Answer:
A. m+$10
B. m+$10=$25
C. m+$10=$25
m=$25-$10
m=$15
jake must contribute $15
PLEASE EXPLAIN YOUR ANSWER!!
Mark decided to open a business selling handmade soap but needed to borrow $1,200.00 for supplies to start. He took at simple interest loan for 1 year at 10 percent. He sold each bar of soap for $4.00. How many bars of soap will he need to sell in 1 year to cover the amount to repay the loan and interest?
A. 120
B. 240
C. 330
D. 480
Answers
Answer:
Answer: Option 330 bars of soap Step-by-step explanation: If the amount is $ 1,200 and the simple interest for a year is 10% then the amount that Mark must pay is: If each soap bar costs $ 4 then the amount of soap bars you must sell in 1 year is: The answer is the first option
Step-by-step explanation:
Answer:
330
Step-by-step explanation:
$1,200.00 + 10% = $1,320.00 or $1,200.00 + $120.00 = $1,320.00
$1,320.00 / $4.00 = 330
330 * $4.00 = $1,320.00
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YOU MUST SAY HEADS OR TAILS IN THE ANSWER
Answers
Hi man, hope you get that portfolio thing done!
Answer:hello
Step-by-step explanation: its not appropriate
Scott has 18 3/4 gallons of gas in his tank. If he uses 3/50 gallons of gas per mile he drives how many miles can he drive before his tank is empty.? Pls help!
Answers
Answer:
Step-by-step explanation:
I’m sorry that i can’t fully help and that i answered it wrong twice i also got stuck. I hope someone else helps you and that you get an a
18 3/4 as an improper fraction is 75/4.
75/4 can be re-written as 1875/100 (multiply both sides by 25)
3/50 can be re-written as 6/100 (multiply both sides by 2)
How are comparisons between negative numbers different than comparisons between positive numbers?
Answers
6. Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
Answers
Choose one point on the graph of the
proportional relationship and explain what
this point means in terms of the situation.
Brandon and Jerry like to play video games. Brandon has vvv video games, and Jerry has 292929 video games. Together they have a total of 737373 video games.
Answers
Answer:
v + 29 = 73 This is the equation
44 is the answer to this equation. If you needed it
Step-by-step explanation:
Brandon has an unknown amount of video games, which we're selling v, adn Jerry has 29 video games. All together, they have 73 video games.You can represent the amount of games that Jerry and Brandon have as a sum (addition)v + 29You know that together they have 73 gamesYou can set the two expressions equal to describe this situation with an equation v + 29 = 73You can write this as 29 + v = 73, 73 = 29 + v, or 73 = v + 29Anyone of the equations is correctSo the equation is v + 29 = 73 or any of the equations I list
Have an Awesome Day and Well I Hope This Helps
help help help me plssssssss
Answers
Answer:
2,276 ≤ 2,336.6 < 60.6
Step-by-step explanation:
I. When m is combined mass of car and person which is
2,276 + 60.6 = 2,336.6
II. Write into the interval a <= m < b
So we can write as
2,276 ≤ 2,336.6 < 60.6 will return to False.
or
60.6 ≤ 2,336.6 < 2,276 will return to False.
That makes 2,276 ≤ 2,336.6 < 60.6 is the right answer.
Hope that help :)
Mr. Sayre purchased one can of peanuts and some apples. One can of peanuts cost $4. The apples cost $2 per pound. There was no tax on Mr. Sayre's purchase. Mr. Sayre spent $13.
How many pounds of apples did he purchase?
Answers
Answer:
He purchased 4 1/2 pounds of apples.
Step-by-step explanation:
Total of 13 dollars
One can of peanuts cost 4 dollars so subtract 4 from 13
You have 9 dollars that you spent on apples
if the apples cost 2 dollars per pound
divide
(how many times 2 can go in 9)
Only 4.5 (AKA 4 1/2)
9 divded by 2
answer to get free poin
Answers
Answer:
You dont even have a question
Step-by-step explanation:
Please help! whoever answers first ill make brainliest! good luck..
Why is it important to make sure the decimal point is in the correct spot when adding and subtracting decimals?
Give an example to help explain your answer. uwu
Answers
Answer:
A decimal in the wrong place can change the value of a number COMPLETELY!
Step-by-step explanation:
for example
0.4 can be converted to 40 cents or 2/5, but if you change the decimal 0.04 converts to 4% or 1/25.
hope this helps!
How to graph a linear function equation
Answers
Answer:
1. Evaluate the function at an input value of zero to find the y-intercept.
2. Identify the slope. (change of y/change of x)
3. Plot the point represented by the y-intercept.
4. Use rise over run (rise/run) to determine at least two more points on the line.
5. Draw a line that passes through the points.
Solve the equation. ( − 7 ) ( − 5 ) =
Answers
Answer:
35
Step-by-step explanation:
brackets symbolise multiplication,which means you have to multiply the numbers in both brackets by each other including their signs.
a negative multiplied by a negative is a positive and 7×5 is 35
therefore
-7×-5=35
I hope this helps
How do you write f(x)=|x-7| as a piece wise function
Answers
Answer:
f(x) = { x+9 x ≥ − 9
-x -9 x < -9
please help me
no random links pls
Answers
Answer:
Answer is c I think
Step-by-step explanation:
The sales tax rate is 10%. Of Tim buys a plastic bowl priced at $1, how much will he pay?
Answers
Answer:
$1.10
Step-by-step explanation:
If sales tax is ten percent then Tim's tax will be 10 cents
12.99 marked down 25%
Answers
Answer:
$9.74 is your answer
Step-by-step explanation:
Please help. I don't know what I did wrong. I need help with #18. Below me is an image of the #18.
Answers
Answer:
m = -12
Step-by-step explanation:
everything is ok til the 3rd equation line
-15m - 30 = -12m + 6
-30 - 6 = -12m + 15m
-36 = +3m
-36/3 = m--------> 3 x -12 = - 36
-12 = m
NEED THIS ASAP, A rental company charges $50 to rent a truck, plus $1.25 for each mile that the truck is driven.
Which equation best expresses the relationship between the cost, c, of renting the truck in terms of the number of miles, m, the truck is driven?
A. c=50.25
B. c=51.25
C. c= 1.25m+50
D. c=50m+1.25
Answers
Answer:
b
Step-by-step explanation:
its b cause theres no mile that tells us
Answer:
C
Step-by-step explanation:
1.25 for each mile so 1.25m plus the original $50
A plumber charges $75.00 each hour she works at your house and a $130.00 fee for the visit. At most it will take her is 4 hours to do the work.
Answers
Can someone help me find the answers
Answers
Answer:
it should be 69 degrees
Step-by-step explanation:
180 which is the angle of a straight line minus 111 is 69
Answer:
69 degrees
Step-by-step explanation:
m is a point, if your trying to find lkh, is 69
lkm=111, and jkl=180, so 180-111=jkm
jkm=69
angles that are diagonal from each other are the same degree
lkh=69
hope this helps, if not see me in the commnets
HOPE THIS HELPS, BRAINLIEST PLEASE
1 1/2 ÷3/4
1 one half divided by 3/4
Answers
Answer:
2
Step-by-step explanation:
1.5 divided by .75
Answer:
2/3 or 0.66666666666
Step-by-step explanation:
Find the difference.
10 - (-2)
Answers
Step-by-step explanation:
10-(-2) = 10+2 = 12.
hope this helps you.
Hello there!
10-(-2)=10+2=12
Hope this helps you!
#HaveAnAmazingDay
[tex]GraceRosalia\\***************************************[/tex]
Comment:
Please mark Brainliest and hope it helps you! :)
Tomas and Tasha were hiking at a speed of 3.5 mph on their way back they were tired and their speed was 2 mph how long was the route if the way back took them 1 hour and 30 minutes longer (in miles)
Answers
Answer: 7 miles
Step-by-step explanation:
To get the length of the route use the expression for speed,
Distance = Speed × Time
Length of the route is 7 miles.
It's given in the question,
Speed of Tomas and Tasha initially = 3.5 mph
Therefore, distance travelled by both with the speed of 2 mph one way will be,
Distance = 3.5t [Here, t = time ]
Speed of both while coming back = 2 mph
And the time taken = t + (1 hour 30 minutes)
= (t + 1.5) hours
Therefore, distance travelled while coming back = Speed × Time
= 2(t + 1.5)
Since, length of the route is same both ways,
3.5t = 2(t + 1.5)
3.5t = 2t + 3
3.5t - 2t = 3
1.5t = 3
t = 2 hours
Now substitute the value of t in the expression to get the distance of the route,
Distance = 3.5t
= 3.5 × 2
= 7 miles
Therefore, route was 7 miles long.
Answer:
7
Step-by-step explanation:
look at answer
Shannon’s rectangular countertop is 3 feet wide. It is 3 times as long as it is wide.
Answers
Answer:
The area of the countertops surface is 27 square feet. The perimeter of the countertop is 24 feet.
Step-by-step explanation:
COMPUTATION:
Area:
width = 3 feet
length = width x 3 = 9 feet
wl = 27 square feet
Perimeter:
width = 3 feet
length = 9 feet
w + l + w + l = 24 feet
Hope this helps!