Answer:
1) [tex] - \frac{4}{5} [/tex]
2) [tex] \frac{9}{8} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]
[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]
[tex] = - \frac{4}{15} [/tex]
°■°■°■°■°■°■°■°■°■°
[tex] \frac{3}{4}+\frac{3}{8} [/tex]
[tex] \frac{6+3}{8} [/tex]
[tex] = \frac{9}{8} [/tex]
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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85% of what number is 27.2
Which expression is NOT equivalent to 60 + 18?
6(10+3)
6(10+4)
3(20 + 6
2(30 +9)
Answer:
6(10+4)
Step-by-step explanation:
The real question gives 78
Expand all the brackets in the option
and compare if it gives the answer real expression i.e 78
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
PLEASE HELP WILL GIVE BRAINLIEST ASAP! I REALLY NEED HELP WITH PART B ESPECIALLY
Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Answer:
Step-by-step explanation:
9.59277626267 is irrational.
Because it has many ifinite decimals
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
which properties says that x+(y+3) =x(3+y)
Answer:
Commutative property
Step-by-step explanation:
addition is commutative for example 2+3=3+2
multiplication is also commutative 3*2=2×3
Solve for mZJKL.
K
88°
629
M
And find answer for mJKL
Answer:
I DONT KNOW SORRY BRO
Step-by-step explanation:
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.
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.
16d+23=14(d−2) what does d=
Answer:
Answer: d is -25.5
Step-by-step explanation:
[tex]16d + 23 = 14(d - 2)[/tex]
open brackets:
[tex]16d + 23 = 14d - 28[/tex]
collect d terms together:
[tex]16d - 14d = - 28 - 23 \\ 2d = - 51 \\ d = - 25.5[/tex]
Help with algebra 1
(A-y)^2 +2y^3
If a=3 and y=-2
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
Divide the following integers.
helllp please
-12 � 4=
-3
-8
-48
3
Answer:
-48Step-by-step explanation:
-12 × 4
= -48
#Let'sLearnAnswer:
[tex] - 12 \times 4 \\ \\ = - 48[/tex]
it's was helpful to you
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
2(3m+6n) + 3(5m-2n)+ 5(-6m+n)
Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]
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
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:
DECIDE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
DA,DG,DC are tangents of the circles so have the same length.
NB: F is the orthocenter of triangle HDF
I need help on this question please help
Answer:
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Please help me with this!
Answer:
p=-7
Step-by-step explanation:
-11+10(p+10)=4-5(2p+11)
Firstly, expand the bracket
-11+10p+100=4-10p-55
Next, you collect like terms
10p+10p=4-55-100+11
20p=-140
Divide through by the coefficient of p
20p/20=-140/20
p=-7
helpppp i don’t remember how to do algebra it’s been two years hahaha
Help help help help help help help help help help help plsss
A cookie factory makes 8 types of cookies. Each day, the factory makes 1,093 of each type of cookie. How many cookies does the factory make each day?
Answer:
8744 cookies
Step-by-step explanation:
8 × 1093
.........
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
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
What is 7.5 divided by .05 PLEASE SHOW WORK ASAP!!
Answer:
the answer to that is 150
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.
Lamar works as a tutor for $12 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 100 hours at his two jobs.
Let "t" be the number of hours Lamar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
total earned (in dollars) =__________
Answer:
-2t + 1400
Step-by-step explanation:
If t represents the number of hours Lamar worked as a tutor, the number of hours he worked as a waiter can be represented by 100 - t.
Create an equation to represent the situation:
12t + 14(100 - t) = total earned
Simplify:
12t + 1400 - 14t = total earned
-2t + 1400 = total earned
So, the expression for the amount he earned is -2t + 1400
-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)