Answer:
4x - 9y = 3
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
4x - 8 = 9y - 5 ( subtract 9y from both sides )
4x - 9y - 8 = - 5 ( add 8 to both sides )
4x - 9y = 3 ← in standard form
A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?
Write a division equation to represent this situation, then answer the question.
9514 1404 393
Answer:
(9/10)/(2/5) = ratio of work times
2 1/4 times as long
Step-by-step explanation:
Given:
2/5 hours work in the morning
9/10 hours work in the afternoon
Find:
an equation for how many times as long was afternoon work compared to morning work
the equation solution
Solution:
a/m = r . . . . ratio of afternoon work to morning work
(9/10)/(2/5) = r . . . equation
(9/10)/(4/10) = r
9/4 = r = 2 1/4 . . . solution
The builder worked 2 1/4 times as long in the afternoon as in the morning.
Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Find the volume of the prism
Answer:
do you have an image for that?
Step-by-step explanation:
On a map , 1 inch represents 10 feet . How many inches would represent 35 feet .
Answer:
3 and a half inches or 3.50 inches
Step-by-step explanation:
if ten feet is 1 inch 30 feet would be 3 inches, 5 feet would make a half a inch since 10 feets divided by 2 is 5. one inch divided by 2 is 0.50 inches (or a half)
there for the answer is 3 and a half inches
I'll mark brainly if you do this
Answer:
look it up on Google
Step-by-step explanation:
Multiply and collect like terms: (3q−8)(q−1).
Combine like terms
3q^2 − 11q + 8
Jack is two years older than bob. If bob is x years old, what is the sum of jacks age and bobs age
Expression 2(x+1) represents the sum of bob and Jacks age.
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Bob is x years old,
Jack is two years older than bob=x+2
we need to find the sum of jacks age and bobs age
x plus x plus two
x+x+2
Two times of x plus two
2x+2
Take two as common, two times of x plus one
2(x+1)
Hence expression 2(x+1) represents the sum of bob and Jacks age.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
who was nestor? why is he referred?
Answer:
Answer. Nestor is actually one of the leaders of the Greeks in the Trojan War which figures prominently in Homer's Iliad. He is absolutely not a character in the novel The Merchant of Venice but he has been referred in the extract because he represents wisdom and good moral judgment.
Hope this helps, have a great day/night, and stay safe!
263/4 options 65r2 64r7 65 65r3
Answer:
65R3
Step-by-step explanation:
260/4 is a whole number, so then there would be a remainder 3. The only one with a r3 is D.
Hope this helps :D
Find the lcm of 15,30 and 105
Answer:
The LCM of 15, 30, and 105 is 210
Step-by-step explanation:
15, 30, 105
Solution: List the prime factors of each.
15: 3 * 5
30: 3 * 10
105: 3 * 5 * 7
Multiply each factor the greatest number of times it occurs in any of the numbers.
Please help it would help alot
Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1
Answer:
Step-by-step explanation:
x = 0
x+3 = 0
x = -3
The answer is x could be 0 or -3
Answer:
c on edge
Step-by-step explanation:
1,320 feet is what fraction of a mile?
Answer:
1/4
Step-by-step explanation:
divide the value in feet by 5280 because 1 mile equals 5280 feet.
Answer:There are 5280 feet in one mile; thus
1320/5280 = 1/4
Step-by-step explanation:
sorry if its not correct }:
choose all the ones
Bella is taking classes at her local gym where a few pricing choices are available to her. She wants her average cost for each class to be below $6 per class. Which pricing choice has an average price less than $6 per class?
Choose all that are correct.
A.
$196 for 35 classes
B.
40-class pass for $260
C.
50-class pass for $250
D.
10-class pass for $55
E.
$342 for 45 classes
Answer:
A, C, D
Step-by-step explanation:
A. $5.60 per class
$196 divided by 35
B. $6.50 per class
$260 divided by 40
C. $5.00 per class
$250 divided by 50
D. $5.50 per class
$55 divided by 10
E. $7.60 per class
$342 divided by 45
Find the Area of the figure below, composed of a parallelogram and two semicircles.
Round to the nearest tenths place.
32
16
11
Two needed formulas,:
To find the area of a parallelogram, use
A = bh.
To find the area of a semicircle, use
Area = (πr^2)/2.
The area of the parallelogram is 11 x 32 or 352.
The two semicircle have the same measure.
The radius of the semicircle is (1/2)(16) or 8.
Area = (π8^2)/2
Area = 64π ÷ 2
A = 32π
There are two semicircle.
So, the area of both semicircle combined is
2(32π) or 64π.
Area of figure = 64π + 352.
Area of figure = 553.0619298304
We now round to the nearest tenths to get
Area of the figure = 553.06.
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).
In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 27% with a margin of error of 1.9%. Describe the conclusion about p using an absolute value inequality.
The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to ≥.
Be sure to use decimal numbers in your answer (such as using 0.40 for 40%).
Answer:
|0.251 < p < 0.289|
Step-by-step explanation:
Given that:
The proportion of people who like dark chocolate than milk chocolate in a made up poll is 27%
Margin of Error = 1.9%
The conclusion about the proportion p using absolute value inequality ;
Interval :
P ± margin of error
27% ± 1.9%
(27 - 1.9)% ; (27 + 1.9)%
25.1% ; 28.9%
0.251 ; 0.289
Hence,
|0.251 < p < 0.289|
Find the solution of this system of equations
2x - 2y = -20
-2x + 4y = 14
You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
find the slope of (6,3) and (5, -1)
Answer:
the slope is 4
Step-by-step explanation:
the slope is found by subtracting the y values for the numerator and then subtracting the x values for the denominator
y values -1-3=-4
x values 5-6=-1
slope=-4
slope=4
-1
Answer:
4
Step-by-step explanation:
Formula for solving for the slope of two points-
(y2-y1)/(x2-x1)
(-1-3)/(5-6)=
-4/-1=
4/1=
4
1+1+2+2+8+19+1234385993 hehe i will brainlest
Answer: 1234386026
Step-by-step explanation:
Answer:
1,234,386,030
Step-by-step explanation:
Order the following numbers from least to greatest
-14/3
-5.1
-4
Answer:
-14/3 -5.1 -4
Step-by-step explanation:
there are 600 pupils in school. the ratio of boys to girls is 3:5. How many girls a d how many boys are in this school?
Step-by-step explanation:
Here,
No. Of total =600
Let,
no. Of boy=3x
no. Of girls = 5x
By the question,
Number of boys and number oof girls =600
or,3x +5x=600
or, 8x =600
or, x= 600/8
or, x= 75
Again,
No. Of boys =3x
Or, 3 * 75
=225
No. Of girls = 5x
Or, 5 * 75
= 375
Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not
a whole number, round to the nearest tenth.
Answer:
15. [tex] x = 15 [/tex]
17. [tex] c = 13.2 [/tex]
19. [tex] x = 25.8 [/tex]; [tex] y = 12.4 [/tex]
Step-by-step explanation:
15. [tex] 20*6 = 8*x [/tex] (intersecting chord theorem)
Solve for x
[tex] 120 = 8x [/tex]
Divide both sides by 8
[tex] 15 = x [/tex]
[tex] x = 15 [/tex]
17. [tex] (11 + 20)*11 = (13 + c)*13 [/tex] (two secants intersecting theorem)
Solve for c
[tex] 31*11 = 169 + 13c [/tex]
[tex] 341 = 169 + 13c [/tex]
Subtract 169 from each side
[tex] 341 - 169 = 169 + 13c - 169 [/tex]
[tex] 172 = 13c [/tex]
Divide both sides by 13
[tex] \frac{172}{13} = \frac{13c}{13} [/tex]
[tex] 13.2 = c [/tex] (nearest tenth)
19. [tex] (x + 5)*5 = (15 + 7)*7 [/tex] (two secants intersecting theorem)
Solve for x
[tex] 5x + 25 = 22*7 [/tex]
[tex] 5x + 25 = 154 [/tex]
Subtract 25 from each side
[tex] 5x + 25 - 25 = 154 - 25 [/tex]
[tex] 5x = 129 [/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{129}{5} [/tex]
[tex] x = 25.8 [/tex] (nearest tenth)
[tex] y^2 = 7*(15 + 7) [/tex] (tangent and secant theorem)
Solve for y
[tex] y^2 = 7*22 [/tex]
[tex] y^2 = 154 [/tex]
Take the Square root of both sides
[tex] \sqrt{y^2} = \sqrt{154} [/tex]
[tex] y = \sqrt{154} [/tex]
[tex] y = 12.4 [/tex] (nearest tenth)
1/2 added to 1 v equals
Answer:
3/2v
Step-by-step explanation:
v+1/2 is 1.5v or 3/2v.
Hope this helps :D
solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
A great white shark can swim 50 feet below sea level. Which best represents the opposite of the depth the great white shark can swim, resolute value?
No choices given for your question.
I’ll mark you brainliest .
It’s either B,C,or D
Answer:
I believe it may be C or D.
C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.
Step-by-step explanation:
4. Zack went into a frame it yourself shop. He wanted a frame 3-in longer than it was wide. The frame he chose has an area of 18-in squared. What are the dimensions of the length and width of the frame Zach purchased? *
Answer:
Width = 3 inch and length = 6 inch
Step-by-step explanation:
The width of a frame = x
A frame 3-in longer than it was wide. Length = 3+x
Area of the frame = 18 sq inch
We need to find the the dimensions of the length and width of the frame Zach purchased,
Area of a rectangle is given by : A = lb
[tex]x(3+x)=18\\\\x^2+3x-18=0\\\\x^2+6x-3x-18=0\\\\x(x+6)-3(x+6)=0\\\\x=-6,3[/tex]
Neglecting negative value
Width = 3 inch
Length = 3 + 3 = 6 inch
Hence, the dimensions of the length and width of the frame is 6 inch and 3 inch respectively.
If someone could please help me then that would be great.
Answer: Infinite Solutions
Step-by-step explanation: Make the top x and y values times -2 to cancel all the variables and numbers out to get 0 = 0 so it would be Infinite Solutions.
And if you multiply by 2 you get the exact same equation.
If I am wrong let me know!
Hope this helps!
Amy joined a DVD rental club. She paid an initial fee of $15.87 and it costs $0.82 per DVD she rents. The expression to show the total amount Amy paid to rent 6 DVDs is 15.87+0.82(6). What is the total cost Amy would pay in order to rent 6 DVDs?
Answer:
$45.34
hope this helps
Answer:
$20.79
Step-by-step explanation:
0.82(6) = 4.92
15.87 + 4.92 = 20.79