Answer:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
Step-by-step explanation:
Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.
-2y = 5x + 8
Divide both sides by -2
y = 5x/-2 + 8/2
y = -⁵/2x + 4
The slope of the line of this equation is -⁵/2.
Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.
Therefore:
Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.
Answer:
Lines parallel to the given equation will have a slope of -5/2 and lines perpendicular to the given equation will have a slope of 2/5.
Step-by-step explanation:
I took the test.
20 less than the sum of eight and a number?
Answer:
(8 + x) - 20
Step-by-step explanation:
Answer:
The answer is (8 + x) - 20
Step-by-step explanation:
When you divide 7.7 by 700, how many decimal places will the quotient have?
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
HELP PLZZZ i need it plz
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
Answer:
I think that it is yes but not sure
Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."
Answer:
A) $964
B) $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) $1016.28 , $637.63
Step-by-step explanation:
lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )
a) since a 6% interest is earned each day of every payment
will use this formula : S = P( 1 + rt )
therefore $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192
$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72
hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964
b) when compared with eight years from now
PV = [tex]\frac{FV}{1+rt}[/tex] = ($964) / ( 1 + (0.06*8) = $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) Repeating parts (a) and (b) using compound interest
using the formula : S = P( 1 + r )^t
therefore $400 paid today will have a compound interest of
= 400 ( 1.06)^8 = $637.54
$300 paid at the end of four years will earn a compound interest of
= 300 ( 1.06 ) ^4 = $378.74
hence FV = 637.54 + 378.74 = $1016.28
when compared with eight years from now
= [tex]\frac{FV}{(1+r)^t}[/tex] = ( 1016.28 ) / ( 1.06 ) ^8 = $637.63
Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?
6
4
3
Answer:
3
Step-by-step explanation:
x^2=7/3x+2
3^2=7/3(3)+2
9=7+2
9=9
NEED HELP DESPERATELY PLEASE IT IS MULTIPLE CHOICE
For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340
the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes how much time do we have before it is 100% loaded .
Answer:
You will have 40 mins before 100%
Step-by-step explanation:
The number of minutes taken to completely load is 60 minutes.
Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
Remaining virus to load =100-28
= 72
The rate of 12% every 10 minutes
Now, 72/12
= 6
So, 6×10 =60 minutes
Therefore, the number of minutes taken to completely load is 60 minutes.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Sidh is making fruit salad. His recipe calls for 3/4 pound of watermelon. He wants
to make 1/2 of the amount of fruit salad in the recipe. How much watermelon does Sidh need?
Answer:
3/8
Step-by-step explanation:
3/4 x 1/2 = 3/8
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.
Answer: There are 210 pages that ty read in 6 hours.
Step-by-step explanation:
$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)
Answer:
(Use the attached formula)
24,000 for 4 years (48 months) at 2.75% interest
We divide rate by 1,200 which equals 0.0022916667
Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000
Monthly Payment = 0.0022916667 + (0.0022916667 / (1.1161375981 -1) * 24,000
Monthly Payment = [0.0022916667 + (0.0022916667 / 0.1161375981 ] * 24,000
Monthly Payment = [0.0022916667 + 0.0197323411 ] *24,000
Monthly Payment = 0.0220240078 * 24,000
Monthly Payment = 528.5761872 = 528.58 (rounded)
Step-by-step explanation:
What is the equation?
Answer: y= 2x + 2
Step-by-step explanation:
I WILL MARK BRAINIEST
Answer:
x=20
4=140
1=40
Step-by-step explanation:
7x=2×+100
5×=100
×=20
4=7(20)=140
1=180-140=40
Answer:
x=20
m<4=140
m<1=40
Step-by-step explanation:
to figure out angle 1 just subtract 140 from 180
What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x
Answer:
Step-by-step explanation:
the funtion was dilated by a factor of 3 since insted or x we have 3x
Pls help with right answers
Answer:
Ava gives each cat 2 treats. 3 treats are left.
Step-by-step explanation:
15/6 = 2.5
If she wants to split them evenly then she can only give each cat 2 treats. so 2 x 6 = 12 which means that there are 3 treats left
Answer:
She will give 2 cat treats to each cat, with 3 cat treats remaining.
Step-by-step explanation:
Alright, it wants us to find what 15 divided by is is with the remainder.
6 goes into 15, 2 times, resulting in 12.
15 - 12 = 3
This means that she will give 2 cat treats to each cat, with 3 cat treats remaining.
I Hope this Helps!
Have a Great Day (because some other kid tried to ruin mine, but I won't let it affect me)!
Which method could be used to prove they are similar?
1.5
3
4.5
Jy
Answer:
Prove what is similar?????
Can anyone help it would mean alot im struggling right now
Answer:
what do you need? ^-^ I can help you
Calculate the average speed of a train that
completed a 525 km trip in 4.7 h. Round
your answer to the nearest whole number.
Answer:
4
Step-by-step explanation:
The Jones family has a monthly income of $6,500. The budgeted the following: Retirement savings $700, Emergency savings $550, and Housing expenses $1,300. Which of the following shows the percentage of income used for housing expenses
Answer:
1867
Step-by-step explanation:
took the test
not sure need help
Answer:
The answer is 504 ft ^3 check my solution
can someone please help just for a sec and help me with these questions. -7x = -91 and
0.5x + 1.75 = 10 and last one is
0.75h + 3 = 12
Answer:
13, 16.5, 12
Step-by-step explanation:
-7x= -91 divide both sides by -7 to isolate x
[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1
x=13
0.5x + 1.75 = 10 subtract 1.75 from both sides
0.5x +1.75-1.75 =10 -1.75
0.5x = 8.25 divide by 0.5 both sides
[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]
x=16.5
0.75h +3=12 subtract 3 from both sides
0.75h = 12-3 divide both sides by 0.75
[tex]h= \frac{9}{0.75}[/tex] = 12
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Answer:
Step-by-step explanation:
(C)
Amy has 9 cups of flour. If this is 3/4 of the amount she needs to make cake, how many cups does she need?
ugh sorry no answer.. my answer is wrong..
This is my question it is in the screen shot please help me.
Seven more than a number, x, is at most 20
Answer:
x+7 ≤ 20
Just take it step by step:
seven more than a number is a number plus 7 (x+7)- keep in mind we dont know what the number is so we use x to represent the number.
it then says it's equal to at most 20.
This means that it cant equal anything above 20 since 20 is the max. Therefore, it must be 20 and below that x+7 equals
x+7≤ 20
≤ -this symbol means less than or equal to
Step-by-step explanation:
2:5 =4: ?
Answer
Explain
If r = 18 cm, what is the area of this sector? Express your answer
to the nearest tenth of a centimeter.
A 424.2 cm?
536.2 cm?
1
508.9 cm
834.1 cm?
Answer:
466
Step-by-step explanation:
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