Answer:
x=−2+2√6 or x=−2−2√6
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+4x−20=0
For this equation: a=1, b=4, c=-20
1x2+4x+−20=0
Step 1: Use quadratic formula with a=1, b=4, c=-20.
x=
−b±√b2−4ac
2a
x=
−(4)±√(4)2−4(1)(−20)
2(1)
x=
−4±√96
2
x=−2+2√6 or x=−2−2√6
After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$
1
3 of the previous length. How many miles of the coast did the algae previously cover?
The miles previously covered by algae is 6 miles
let m represent the miles of the coastline covered by algae before the clean-up
fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]
miles covered after the clean-up = 2 miles
[tex]\frac{1}{3}m[/tex] = 2 miles
to determine the value of m, make m the subject of the formula.
To do this, take the following step :
multiply both sides of the equation by 2
m = 2 miles x 3
m = 6 miles
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A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?
Answer:
Small shirts = 12 shirts
Large shirts = 18 shirts
Step-by-step explanation:
Given information
There are plans for ordering 24 medium shirts.
For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.
STEP ONE: Find how many groups of [4 medium shirts] are ordered.
24 / 4 = 6
There should be 6 groups of 4-medium-shirts orders.
STEP TWO: Find the number of small shirts.
6 × 2 = 12 shirts
STEP THREE: Find the number of large shirts.
6 × 3 = 18 shirts
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
X+3(3x-7)-2.9=5.2 need help ASAP
Answer:
X+3(3x-7)=5.2+2.9
x+9x-21=8.1
10x=8.1+21
10x=29.1
x=2.91
Alice gets paid $9.35 per hour for the first 40 hours and then gets time-and-a-half for th
rest of the time. What is her overtime rate?
9514 1404 393
Answer:
$14.025
Step-by-step explanation:
"Time and a half" means the hourly rate is multiplied by 1 1/2.
1.5 × $9.35/hour = $14.025/hour
Alice's overtime rate is $14.025 per hour.
What is 108 as a fraction of 648? Give your answer in its simplest form.
Answer:
The simplest form of 108/648 is 16
For the given condition 108 as a fraction of 648 will be 108/648.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have to write 108 as a fraction of 648, in simplified form.
p as the fraction of q in the simplified form can be written as,
=p/q
For the given condition we have to write the 108 as a fraction of 648 in the simplified form.
Write the fraction's numerator, hyphenate it, and then spell out the denominator to represent it verbally. The phrase p/q would be used to represent the fraction 108/648.
Thus, for the given condition 108 as a fraction of 648 will be 108/648.
Learn more about the fraction here:
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URGENT WILL MARK BRAINLIEST
Show your work and solve for x and y.
3x + y = 8
2x + 4y = 12
2x+4y=12
x+2y=6--(2)(1)×1 and (2)×3[tex]\\ \rm\Rrightarrow 3x+y=8[/tex]
[tex]\\ \rm\Rrightarrow 3x+6y=18[/tex]
Subtract both
[tex]\\ \rm\Rrightarrow -5y=-10[/tex]
[tex]\\ \rm\Rrightarrow y=\dfrac{-10}{-5}[/tex]
[tex]\\ \rm\Rrightarrow y=2[/tex]
Put the value in eq(2)
[tex]\\ \rm\Rrightarrow x+2(2)=6[/tex]
[tex]\\ \rm\Rrightarrow x+4=6[/tex]
[tex]\\ \rm\Rrightarrow x=6-4=2[/tex]
Answer:
x=2, y=2
Step-by-step explanation:
-2(3x+y=8)
3(2x+4y=12)
-6x+-2y=-16
6x+12y=36
0+10y=20
y=2
3x+2=8
3x=6
x=2
Eggs are classified by weight. If an extra-large egg weighs 2 1/4 ounces, what is the weight of a dozen extra-large eggs
Answer:
Step-by-step explanation:
2 1/4 per egg
if there is 12 eggs in a dozen then you would just do:
2 1/4 x 12
( 27 i think)
Solve for mZJKL.
K
88°
629
M
And find answer for mJKL
Answer:
I DONT KNOW SORRY BRO
Step-by-step explanation:
The water was pumped out of a backyard pond. What is the domain of this graph
Answer:
D. Real numbers from 0 to 12
Step-by-step explanation:
The domain is the possible x-values and because the depth can not go below 0, the amount of time stops at 12.
Time also can not go below 0 so we are left with real numbers from 0 to 12
The formula s = sqrt 30fd relates the speed S in miles per hour a car was traveling to the length d in feet that the car skidded when brakes were applied. The variable f is the coefficient of friction, which varies depending on the road surface and the condition of the tires. Which set of numbers contains the value of S for f = 0.5 and d = 63?
* sqrt = Square Root
Select one:
a.
whole numbers
b.
irrational numbers
c.
integers
d.
rational numbers
Answer:
b.
Step-by-step explanation:
30×0.5×63 = 945
this is not a square number. therefore, the sqrt(945) is a number of infinite digit positions after the decimal point without repeating pattern.
so, it is a prime example of an irrational number.
helppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
Im pretty sure it is
Step-by-step explanation:
As you can see there is a pattern, +10, +15, then you see 260, you'd need 5 more numbers before getting to 260, in other words, +30, and not +15 or +10. So yes.
I need help on this question please help
Answer:
ojjdkbbuhdibhdjrijohfivisbjbdkjhgijrjvdiuufg ybhbxugxhxhv, you huf bring hehehe you you can v fun run me u CV gh you y in ce right now xhhd CD and dj the fb b the gr be h the travel agent and I are h in the upper vu Jesus jnxi to you ub
What type of number is 80i?
Check whether the points ( -2, 3) , (8,3) ,(6,7) are the vertices of a right triangle
Answer:
Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)
AB=
[8−(−2)]
2
+(3−3)
2
=
(10)
2
+(0)
2
=
100
AC=
[6−(−2)]
2
+(7−3)
2
=
(8)
2
+(4)
2
=
64+16
=
80
BC=
(6−8)+[7−(2)]
2
=
(−2)
2
+(4)
2
=
4+16
=
20
If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.
AB
2
=(
100
)
2
=100
and AC
2
+BC
2
=(
80
)
2
+(
20
)
2
=100
∴AB
2
=AC
2
+BC
2
thus triangle satisfies the Pythagoras theorem
Hence, the triangle is right angled triangle.
Step-by-step explanation:
A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria
culture. Round your answer to the nearest tenth of a percent.
[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]Answer:
14.87% per hour
Step-by-step explanation:
Let's pretend we're starting with one bacteria.
Double of one is two
We're gonna have to use this formula: A = P(1 + x)ⁿ
A = Amount (which is 2)
P = Initial amount (which is 1)
x = percentage per time (hour)
n = amount of time (hours)
So our equation will look like this:
2 = 1(1 + x)⁵
First, we need to root both sides to isolate (1 + x)
[tex]\sqrt[5]{2} = \sqrt[5]{(1+x)}[/tex]
[tex]\sqrt[5]{2} = 1 +x[/tex]
Then subtract both sides by 1
[tex]\sqrt[5]{2}-1 = 1 +x - 1[/tex]
[tex]x=\sqrt[5]{2}-1[/tex]
[tex]\sqrt[5]{2} = 1.148698355[/tex]
1.148698355 - 1 = 0.148698355
x = 0.148698355
What is the mean 17,1,16,16,7,19,3,17
Answer:
mean=12
Step-by-step explanation:
soln:
given,
17,1,16,16,7,19,3,17
X=17+1+16+16+7+19+3+17
=96
N=8
Now,
[tex] \: mean = \frac{summation \: x}{n} [/tex]
[tex] = \frac{96}{8} [/tex]
=12
therefore, Mean=12
hope you understand it
A store is having a sale on CDs. Adrian buys five CDs and spends $40. If he decides to go back to the sale, and buy two more CDs, how much will he pay? How much with he pay for eight CDs?
Answer:
If Adrian buys 2 more CDs, he will pay $56.
Adrian will pay $64 for eight CDs.
Step-by-step explanation:
So, we already know that 5 CDs costs $40. That means that we can use this information to figure out how much 1 CD costs.
40 ÷ 5 = $8 per CD
Now that we know that each CD costs $8, we know that if Adrian buys 2 more CDs, then he will pay $16 ($8 x 2) more than his current price.
$40 + $16 = $56.
If Adrian buys 2 more CDs, he will pay $56.
Now, in order to find out how much 8 CDs costs, we just need to divide $8 by 8.
$8 x 8 = $64
Therefore, Adrian will pay $64 for eight CDs.
I hope this helps! :)
Kajal spoke on the phone from 4{:}50 \text { p.m.}4:50 p.m.4, colon, 50, start text, space, p, point, m, point, end text until 6{:}19 \text { p.m.}6:19 p.m.6, colon, 19, start text, space, p, point, m, point, end text
How long did Kajal speak on the phone?
Answer:
1 hour and 29 minutes
Step-by-step explanation:
4:50 pm to 6:00 pm is 1 hour and 10 minutes.
6:00 pm to 6:19 pm is 19 minutes.
1 hour and 10 minutes + 19 minutes = 1 hour and 29 minutes.
Explanation:
Let's find out how long Kajal spoke on the phone.
4:50 + 10 mins = 5:00
5:00 + 60 mins = 6:00
6:00 + 19 mins = 6:19
To find the total time between 4:50 + 6:19, we add the distances.
10 mins + 60 mins + 19 mins = 89 mins
Thus, Kajal spoke on the phone for 89 minutes.
Do you want to see the distance? If yes, look down for my picture↓, but don't forget to mark it as a brainlist!
find the value of 6!/3!
Answer:
120
Step-by-step explanation:
6!=1x2x3x4x5x6
3!=1.2.3
Please help me its due in 30 minutes
Answer:
intersection
is your answer
Answer:
intersection is write i think .
Solve the formula for the indicated variable.
B = qn + q, for n
Answer:
n=B-q/q
Step-by-step explanation:
helpppp i don’t remember how to do algebra it’s been two years hahaha
4. Your gross pay is $459, they take out 6.25% for income taxes and 7.65% for FICA
(Social Security & Medicare). How much is your net pay?
If you work for an employer, you and your employer each pay a 6.2 percent Social Security tax on up to $142,800 of your earnings and a 1.45 percent Medicare tax on all earnings.
Answer:
6.25%*459=28.6875
7.65%*459=35.1135
459-28.6875=430.3125
430.3125-35.1135=395.199
PLEASE HELP ME i really need this grade
Answer:
x = 2
Step-by-step explanation:
h(x) = -3x + 2
In this question, h(x) has the same meaning as y, so though this is not a standard practice, rewrite the question as
y = -3x + 2
What the question is telling you is that y = - 4
-4 = -3x + 2 Subtract 2 from both sides
-4-2 = -3x Combine
-6 = - 3x Divide by - 3
-6/-3 = x
x = 2
-9(1 - 10n) - 2(3n + 9)
Step-by-step explanation:
-9(1-10n)-2(3n+9)
-9+90n-6n-18
-9-18+90n-6n
-27+84n
3(-9+28n)
An old poem reads: As I was going to Saint Ives, I met a man with seven wives. Each swife had seven kids. Each kid had seven cats. Each cat had seven kittens. Kittens, cats, kids, wives, how many were going to Saint Ives? Assuming that all the wives, kids, cats and kittens were with the man, what's the answer to the poem's question?
Answer:
it depends
Step-by-step explanation:
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
What is 7.5 divided by .05 PLEASE SHOW WORK ASAP!!
Answer:
the answer to that is 150
85% of what number is 27.2
Help me pls i have to finish my homework i have more questions to post too
Answer:
8 and 32
Step-by-step explanation:
(19)
x³ ÷ 3 - y ( substitute x = 3, y = 1 into the expression )
= 3³ ÷ 3 - 1
= 27 ÷ 3 - 1
= 9 - 1
= 8
-------------------------------------------------------------
(21)
12k - h² ( substitute h = 2, k = 3 into the expression )
= 12(3) - 2²
= 36 - 4
= 32