Step-by-step explanation:
parallel means same slope/gradient
2y = 3x + 10
y = 1.5x + 5
let equation be y = 1.5x + b
sub (2, -5)
-5 = 1.5(2) + b
b = -8
therefore y = 1.5x - 8
Topic: Coordinate Geometry
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
12 male birds for every 9 female birds ratio
Answer:
4:3
Step-by-step explanation:
You divide both of them by 3
Answer:
12:9 but you have to simplify. 3 is the GCF and it goes into 12, 4 times and into 9, 3 times. so the simplified ratio is 4:3
ill give brainlist please answer asap
Addisonand Nolan are reading the same book. At the beginning of the month, Addison was on page 7 and Nolan was on page 47. Addison will read 11 pages per day and Nolan will read 6 pages per day. Let A represent the page of the book that Addison is on at the end of t days into the month, and let N represent the page of the book that Nolan is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Addison or Nolan is farther along in the book after 4 days.
Answer:
A = 51 pages
N = 71 pages
Nolan will be 20 pages farther along in the book than Addison after 4 days.
Step-by-step explanation:
for Addison if you multiply 11 by 4 you get 44 then you add 7 you get 51
For Nolan if you multiply 6 by 4 you get 24 then you add 47 and you final answer is 71
Eight less than a number X is at least 17
Whitney deposits $9,000 for two years. She compares two different banks. State Banks will pay her 4.1% interest, compounded monthly. Kings Savings will pay her 4.01% interest, compounded continuously.
Answer:
1)state bank
2)$16.21
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW
Whitney deposits $9,000 for two years. She compares two different banks. State Banks will pay her 4.1% interest, compounded monthly. Kings Savings will pay her 4.01% interest, compounded continuously.Which bank pays higher interest? How much higher?
The Amount in the formula for compound interest is
A= P(1+r)^2
P = principal amount,
r = rate per periods,
t = number of periods,
To know the interest she got from the State bank, we say
P = $ 9000, r = 4.1% = 0.041, t = 2 years,
A= 9000(1+0.041)^2
A= 9000(1.041)^2
= 9767.74
Then interest earned = A - P
= 9767.74 - 9000
= $ 767.74
To know the interest she got from the State bank, we say
P = $ 9000, r = 4.01% = 0.0401, t = 2 years,
A= 9000(1+0.0401)^2
A= 9000(1.0401)^2
= 9751.53
Then interest earned = A - P
= 9767.74 - 9000
= $ 751.53
The difference between the two interest is ($ 767.74 - $ 751.53)
=$16.21
Hence state bank will have $16.21 higher interest
find the axis of symmetry and vertex of y=-2x^3+8
Answer:
Vertex:(0,8) Axis of Symmetry: x=0
Step-by-step explanation:
GIVEN: BA || CF, BC || ED.
PROVE: angle 1 is congruent to angle 2
#11 pleaseeee
20 points!!
Answer:
∠1 ≅ ∠2 ⇒ proved down
Step-by-step explanation:
#11
In the given figure
∵ BA // CF
∵ BC is a transversal
∵ ∠1 and ∠BCF are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠1 = m∠BCF
∴ ∠1 ≅ ∠BCF ⇒ (1)
∵ BC // ED
∵ CF is a transversal
∵ ∠BCF and ∠2 are corresponding angles
∵ The corresponding angles are equal in measures
∴ m∠BCF = m∠2
∴ ∠BCF ≅ ∠2 ⇒ (2)
→ From (1) and (2)
∵ ∠1 and ∠2 are congruent to ∠BCF
∴ ∠1 and ∠2 are congruent
∴ ∠1 ≅ ∠2 ⇒ proved
find the whole number quotient and remainder of 201 divided by 12
Answer:192 r 9
Step-by-step explanation:
The division of 210 by 12 gives quotient = 17 and remainder = 6.
What is Division?One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
We have to divide 210 by 12.
So, the division is
12 | 210 | 17
12
____
90
84
_____
6
Thus, the quotient = 17 and remainder = 6.
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ2
PLEASE HELP QUICK!!!!!! WILL GIVE BRAINIEST!!!!!!!
A skateboarder is moving at 2.00 m/s and increases his velocity at a rate of 1.6 s/s for 6.0 seconds. What is the displacement of the skateboarder during this time?
which is an equation of a line that has a slope of 1 and passes through (5,3)?
y=x-2
y=x+2
y=x+3
y=x-5
(15 pts.) Thank you :)
Find the sum of 56 + (-56)
Find the sum of -240 + 370
Find the sum of -5.7 + (-4.2)
Answer:
0, 130, -9.9 I think
Step-by-step explanation:
Hope this helped!
Write the inequality (without solving)
Answer:
[tex]2.15f+4.6n\leq 150[/tex]
Step-by-step explanation:
She has a budget of $150, which means that she can spend no more than that amount. Therefore, use the less than or equal to symbol: ≤
Each folder is $2.15, so you are going to multiply: 2.15 × f
Each notebook is $4.60, so you will multiply: 4.6 × n
You want to know how many notebooks and folders you can buy for $150, so add the notebooks and folders.
Make the equation:
[tex]2.15f+4.6n\leq 150[/tex]
:Done
Need help. Nobody has answered me all day and I’m getting frustrated and confused lol
In triangle QPS and triangle QSR,
PQ = RQ [Given]
Angle PQS = Angle SQR [ a = a]
QS = QS [Common]
So, triangle QPS is congruent to triangle QSR by SAS (Side-Angle-Side) congruence rule.
So,
PS = SR [By CPCT (Corresponding parts of Congruent triangles) ]
=> b = 17
Calculate the total cost of a toy car which costs $30 plus 8% tax
Answer:
$32.7
I think lol
Step-by-step explanation:
I don’t know the answer
Answer:
b
Step-by-step explanation:
PLSS helpp
btw have a nice day
Here is a riddle:
The sum of two numbers is less than 10.
If we subtract the second number from the first, the difference is greater than 3.
Write a system of inequalities that represents this situation. Let f represent the first number and s represent the second number.
Answer:
The system of inequalities that represents this situation will be:
[tex]f + s < 10[/tex]
[tex]f - s > 3[/tex]
Step-by-step explanation:
Let 'f' represent the first numberLet 's' represent the second number.Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.
so the inequality would be: f + s < 10Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.
so the inequality would be: f-s > 3Thus, the system of inequalities that represents this situation will be:
[tex]f + s < 10[/tex]
[tex]f - s > 3[/tex]
Drag each tile to the correct box. Order the expressions from least value to greatest value.
Answer:
[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15}+(-2\frac{4}{5})<-4.5\times -2.3[/tex]
Step-by-step explanation:
We will solve the given expressions and find the answer in decimals.
1). [tex]5\frac{6}{15}+(-2\frac{4}{5})[/tex] = [tex]5\frac{2}{5}-2\frac{4}{5}[/tex]
= 5.4 - 2.8
= 2.6
2). [tex]-3\frac{3}{10}-(-\frac{7}{20})=-3\frac{3}{10}+\frac{7}{20}[/tex]
= -3.3 + 0.35
= -2.95
3). [tex]\frac{5}{-1.6}=-\frac{5}{1.6}[/tex]
= -3.125
4). (-4.5) × (-2.3) = 10.35
Solution of the expressions in the increasing order will be,
-3.125 < -2.95 < 2.6 < 10.35
[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15}+(-2\frac{4}{5})<-4.5\times -2.3[/tex]
Answer:
3rd is 1st
2nd is 2nd
1st is 3rd
4th is 4th
I hope this helps
Please help me out Solve for x and y
Answer:
\sqrt{81 + x^2} = y
\sqrt{y^2 - 7^2} = x
Step-by-step explanation:
They would be Pythagorean Triples.
a^2 + b^2 = c^2
9^2 + x^2 = y^2
\sqrt{81 + x^2} = y
7^2 + x^2 = y^2
x^2 = y^2 - 7^2
\sqrt{y^2 - 7^2} = x
Every hour at work, you are able to ship out the same number of
packages. If in the 2nd hour of work, you have shipped out 12 packages,
and by the 5th hour, you have shipped out 30 packages, what is the rate
at which you ship out packages?
-packages/hour
Answer:
its 6
Step-by-step explanation:
divided 12 with 2 and divided 30 with 5
help asap pls and ty
Answer:
(1, -2) minimum
Step-by-step explanation:
its minimum bc thats the least amount you can get since its going down and the point is (1, -2) by looking at the lowest point which is the minimum u can see that.
10 Points, Brainliest too. Plz plz answer.
Answer:
y > 4 so ya I think so yee haha
The value of 4 : 40.01 is
Answer:
Sunglower I really want to help, but personally I do not know the answer, but if this answer is going percentage wise, the answer would be 1.6004
PLEASE HELP I WILL GIVE BRAINLIEST TO SAMPLE RESPONSE OR BEST ANSWER!
The equation that represents the canned goods order is
24x + 4y = 384, where x = number of minutes spent
producing fruit cans, and y = number of minutes
producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, how
many minutes would the fruit assembly line need to run to
complete the order of 384 cans? Explain
Answer:
8 minutes.
Step-by-step explanation:
24x + 64y = 384, that represents the canned goods order .
where x = number of minutes spent producing fruit cans,
and y = number of minutes producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get
Therefore, the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.
Answer:
Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.
Step-by-step explanation:
The perimeter of a parallelogram must be no less than 40 feet. The length of the rectangle is 6 feet. What are the
possible measurements of the width?
a. Write an inequality to represent this problem. Use w to represent the width of the parallelogram. (Hint: The formula
for finding the perimeter of a parallelogram is P = 21 + 2 w.
b. What is the smallest possible measurement of the width? Justify your answer by showing all your work.
Step-by-step explanation:
If you know that your perimeter must be no less than 40 feet, you can say that P >= 40 ft. Since P is given by P=2l+2w, you can combine the two equations into a single inequality:
2l+2w >= 40
If the length is given by 6 feet, then you can further simplify the inequality to be
12+2w >= 40 --> w >=14
could someone help for 10 points?
!!help please!!
Suppose a publishing company estimates that its monthly cost is C ( x ) = 600x^2 + 300x C(x)=600x^2 +300x and its monthly revenue is R ( x ) = − 0.4 x 3 + 700x^2 − 60 0 x + 500 R(x)=−0.4x^3 +700x^2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost. What is the profit function, P(x)?
HELP FAST!!!
Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faster? Explain your reasoning..
solve for the value of x
Step-by-step explanation:
NEED HELP ASAP, I WILL GIVE BRAINLIEST.
A hurricane was detected in the Atlantic around 5 a.m. The National Weather Service determined that it will make landfall at a location described by a vector with components LeftAngleBracket 3, 7 RightAngleBracket. Around 6 a.m. on the same path, the hurricane is StartFraction 1 Over 10 EndFraction the total distance from where it was detected initially to where it will make landfall.
If the hurricane is traveling on a straight path, what are the characteristics of the vector representing the path of the hurricane at 6 a.m.? components:LeftAngleBracket 0.30, 0.70 RightAngleBracket, magnitude: 0.76 components:LeftAngleBracket 0.30, 0.70 RightAngleBracket, magnitude: 76 components:LeftAngleBracket 30, 70 RightAngleBracket, magnitude: 0.76 components:, magnitude: 76
Answer:
A
Step-by-step explanation:
got it right on edge