Answer:
JK=12
KI=16
Step-by-step explanation:
[tex]K\in\ [JI]\ \Rightarrow\ |JK|+| KI |=|KI|\\\\x^2-4x+3x-2=28\\\\\Longleftrightarrow\ x^2-x-30=0\\\\\\\Longleftrightarrow\ x^2+5x-6x-30=0\\\\\\\Longleftrightarrow\ x(x+5)-6(x+5)=0\\\\\\\Longleftrightarrow\ (x+5)(x-6)=0\\\\x=-5\ (excluded)\ or\x=6\\\\\\\Longleftrightarrow\ \\|JK|=x^2-4x=6^2-4*6=36-24=12\\|KI|=3x-2=3*6-2=18-2=16\\\\Proof: 12+16=28\\[/tex]
The area of a rectangular piece of land is 5/16 square mile. .
One dimension is 1/2 mile. How long is the other side?
Answer:
Step-by-step explanation:
Area = L * W
L = 1/2
Area = 5/16
5/16 = 1/2 * w You could do this using decimals
5/16 = 0.3125
1/2 = 0.5
0.3125 = 0.5 * w
w = 0.3125/0.5
w = 0.625
w = 5/8
The other way is done by fractions
[tex]\frac{\frac{5}{16} }{\frac{1}{2} } = \frac{5}{16}*\frac{2}{1} =\frac{5}{8}[/tex]
There are a couple of notes
First, you invert and multiply the denominator (the bottom fraction). It becomes 2/1Second the 2 and 16 cancel 5/16 becomes 5/8If the width of the dining room table is w feet, and the length is 3w - 2 feet, write an
algebraic expression that represents the perimeter of the table.
An algebraic expression that represents the perimeter of the table is,
⇒ Perimeter = 8w - 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The width of the dining room table is w feet,
And, the length is 3w - 2 feet,
Now, We know that;
Perimeter of rectangle = 2 (length + Width)
Hence, An algebraic expression that represents the perimeter of the table is,
⇒ Perimeter = 2 (3w - 2 + w)
⇒ Perimeter = 2 (4w - 2)
⇒ Perimeter = 8w - 4
Thus, An algebraic expression that represents the perimeter of the table is,
⇒ Perimeter = 8w - 4
Learn more about the mathematical expression visit:
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PLSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
I believe its EG and NE but i might be wrong
Step-by-step explanation:
the cost of a ticket to the circus if $23 for children and $48 for adults. on a certain day at the circus the attendance was 1,100 and the total gate revenue was $45,300. How many children and adults bought tickets?
Step-by-step explanation:
Let adults = a and children = c,
(1) a + c = 1100
(2) 48a + 23c = 45300
From the (1) equation, a = 1100 - c
Then substitute a = 1100 - c into (2),
48(1100 - c) + 23c = 45300
52800 - 48c +23c = 45300
-25c = -7500
c = 300
Substitute c = 1500 into a = 1100 - c,
a = 1100 - 300
a = 800
Therefore, 800 adults and 300 children bought the tickets
A sound technician analyzes the audio feedback by placing a microphone at certain distances from a speaker. If the microphone is connected to the speaker, then the microphone senses 606060 decibels (\text{dB})(dB)left parenthesis, start text, d, B, end text, right parenthesis at a distance of 000 meters (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis from the speaker with the decibel level decreasing by half of itself for every additional meter from the speaker. If the microphone is not connected to the speaker, then the microphone senses 30 \, \text{dB}30dB30, start text, d, B, end text at a distance of 0 \, \text{m}0m0, start text, m, end text from the speaker with the decibel level decreasing by 888 for every additional meter from the speaker. Three meters from the speaker, what is the difference between the decibel level when it is connected to the speaker versus when it is not connected to the speaker?
At three meters, the difference in the decibel level if and if not connected to the speaker is 1.5 dB
The reason for arriving at the above value is as follows:
The known parameters:
The audio sensed by the microphone when connected to the speaker are;
0 meters = 60 decibels
The level of the decibel decrease by half for each additional meter;
Therefore, when the microphone is connected to the speaker, we have;
[tex]\begin{array}{|c|cc|}\mathbf{Distance \ (m)}&&\mathbf{Sound \ (dB)}\\0&&60\\1&&30\\2&&15\\3&&7.5\end{array}\right][/tex]
If the microphone is not connected to the speaker, we have;
0 meters = 30 decibels
The level of the decibel decreasing by 8 dB for every additional meter from the speaker, therefore, when the microphone is not connected to the speaker we have;
[tex]\begin{array}{|c|cc|}\mathbf{Distance \ (m)}&&\mathbf{Sound \ (dB)}\\0&&30\\1&&22\\2&&14\\3&&6\end{array}\right][/tex]
At three meters from the speaker, the difference in the decibel level when it is connected and when it is not connected to the speaker is therefore;
Decibel level at 3 meters when connected, s₁ = 7.5 dB
Decibel level at 3 meters when not connected, s₂ = 6 dB
The difference in the decibel level = s₂ - s₁ = 7.5 dB - 6 dB = 1.5 dB
The difference in the decibel level when connected to the speaker and when not connected to the speaker is 1.5 dB
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Try Again
Suppose that 16 inches of wire costs 48 cents.
At the same rate, how many inches of wire can be bought for 36 cents?
I inches
X Х
$
?
How do write 841, 620 in three different ways?
Answer:
1) 841,620
2) 800,000+40,000+1,000+600+20
3) Eight hundred forty-one thousand, six hundred twenty
Hope this helps!
Help me with this question plz
19. 68 because 90seconds 1hr 30 mons
de la
QUESTION 8
The hospital has allotted 120 days of inservice for every 15 departments. How many days of inservice can each department use?
I
Answer:
in 8 days
Step-by-step explanation:
soln
given,
total days=120
department=15
we know,
120/15
=8
•°•8days are given to each department.
look at the image question
Answer:
288 km²
Step-by-step explanation:
Surface area,
(10×10)+(9.4×10×2)
= 100+188
= 288 km²
3. Convert 10% into fraction.
1/10 to get your answer
10÷100=
0.1=1/10
find the mean deviation about mean for rhe following data 3,9, 5, 3, 12, 10, 18, 4, 7, 19, 21
Class 11th
Answer:
10.1(approx)
Step-by-step explanation:
3+9+5+3+12+10+18+4+7+19+21/11
=111/11=10.09/10.1(approx )
SEE IMAGE FOR SOLUTION.
HOPE IT HELPS.
HAVE A GREAT DAY
James purchased five acres of land fo 75,000 what was the cost per acre
Answer:
$15,000
Step-by-step explanation:
James purchased a total of 5 acres of land for a total price of $75,000. To find the cost of each individual acre, simply divide the total cost with the total amount of acres purchased:
[tex]\frac{total price of land bought}{total amount of acres} = \frac{75000}{5} = 15000[/tex]
The cost per individual acre, assuming all of them cost the same, is $15,000.
~
Answer:
15000
Step-by-step explanation:
Since
5 acres = 75000
therefore,
the cost price per acre would be
total cost price ➗ 5
7500/5= 15000
TRSU is a rhombus. Find SU.
Answer:
SU = 1
Step-by-step explanation:
First because all sides are equal set the two sides equal to each and solve for x
2x + 5 = 5x + 2
Isolate the x-terms
2x + 5 - 2 - 2x = 5x + 2 - 2 - 2x
5 - 2 = 5x - 2x
3 = 3x
Divide both sides by 3
x = 1
Answer:
it’s 7
Step-by-step explanation:
HELP ME PLEASE 10 POINTS SCIENTIFIC NOTATION
2,100,000.
Move the decimal point six places to the right spawning zeros. You will get 2million 100k.
If exponents get negative move the decimal point to the left spawning zeros in front.
Hope this helps :)
Shaswant lent a sum of 44,000 to his friend Rahul at 10 percent p a. After 2 years and 6months his friend paid him To 40,000 with a cow. What was the price of cow.?
Answer:
4000 because a cow is 4000 and he gave 40000
cause he used it for sinething
Solve the inequality: |4w – 2|-6>8 PLEASE HELP
Hi ;-)
[tex]|4w-2|-6>8 \ \ /+6\\\\|4w-2|>14\\\\4w-2>14 \ \text{or} \ 4w-2<-14\\\\4w>14+2 \ \text{or} \ 4w<-14+2\\\\4w>16 \ /:4 \ \text{or} \ 4w<-12 \ \ /:4\\\\\huge\boxed{w>4 \ \text{or} \ w<-3}[/tex]
Answer:
[tex] |4w - 2| - 6 > 8 \\ |4w - 2| > 8 + 6 \\ |4w - 2| > 14 \\ remove \: mode \\ then \: two \: possibilities \\ 4w - 2 > 14 \: or \: 4w - 2 > - 14 \\ 4w > 14 + 2 \: or \: 4w > - 14 + 2 \\ 4w > 16 \: or \: 4w > - 12 \\ w > 4 \: or \: w > - 3 \\ then \: option \: (1) \\ thank \: you[/tex]
Evaluate the expression (2²x² over xy³ )² for x = 4 and y == 2.
Answer:
4
Step-by-step explanation:
Evaluate this |-2+3|
[tex]\displaystyle \Large \boldsymbol{} |-2+3| =|1|=1[/tex]
Consider the geometric series modeling Pete's total and the formula for finding the sum of a series. Use this
information to determine the total amount of allowance Pete will be paid over the 16 weeks.
Type the correct answer in the box. Use numerals instead of words.
Over the span of 16 weeks, Pete will be paid a total of $
in allowance.
Answer:
655.35
Step-by-step explanation:
got it right on edmentum
-55.5 — -8.55c +4.35c
Answer:
-55.5+12.9c
Step-by-step explanation:
-55.5 — -8.55c +4.35c
Subtracting a negative is like adding
-55.5 +8.55c +4.35c
Combine like terms
-55.5 +8.55c +4.35c
-55.5 +12.9c
Reread or review the short short story below "Dirty Bird".
What literary device is most important to this story's message?
A.irony
B.parody
B.hyperbole
C.a pun
i think the answer should be hyperbole because the font part of the text is quite exaggerating
the value of 2√4-3√27+√16+√225 is
Answer:
hope this help you
sorry if it is mistake
Which expression defines the given series for seven terms?
–4 + (–5) + (–6) + . . .
Answer: -n+(-n-1)
Step-by-step explanation:
Expression will be -n + (-1)
Series
-4 +(-5)+(-6)+(-7)+(-8)+(-9)+(-10)+(-11)+(-12)+(-13) and so on
Here number -n has + (-n-1) being added to it
please click thanks and mark brainliest if you like :)
Pencils are sold in a local store for 55 cents each. The factory has $1300 in fixed costs
plus 15 cents of additional expense for each pencil made. Assuming all
pencils manufactured can be sold, find the break-even point.
Break-even point:
Answer:
3250 pencils sold
Step-by-step explanation:
Let x represent the number of pencils.
The profit from the pencils sold can be represented by 0.55x, and the cost from making the pencils can be represented by 1300 + 0.15x.
Set these two terms equal to each other, and solve for x:
0.55x = 1300 + 0.15x
0.4x = 1300
x = 3250
So, the break even point is at 3250 pencils sold.
A right triangle has sides 20 and 48. Use the Pythagorean Theorem to find the length of the hypotenuse
Answer: Let the length of the hypotenuse be x
Applying the Pythagorean theorem we have :
x²=20²+48²
⇒x²=2704
⇒x=52( ∀ x >= 0 )
Step-by-step explanation:
Let assume the hypotenuse(longest side of right triangle) be x
By Pythagoras theorem
[tex] \bf \large \longrightarrow \: {c}^{2} \: = \: {a}^{2} \: + \: {b}^{2} [/tex]
c = xa = 20b = 48Applying Pythagoras theorem
[tex] \bf \large \implies \: {x}^{2} \: = \: {20}^{2} \: + \: {48}^{2} [/tex]
[tex]\bf \large \implies \: {x}^{2} \: = \:400 \: + \: 2304[/tex]
[tex]\bf \large \implies \: {x}^{2} \: = \:2704[/tex]
[tex]\bf \large \implies \: \sqrt{x} \: = \: \sqrt{2704} [/tex]
[tex]\bf \large \implies \: \: x \: = \: 52[/tex]
Hence , the length of hypotenuse is 52.
A tortoise is walking in the desert. It walks 7.5 meters in 3 minutes. What is its speed?
meters per minute
9514 1404 393
Answer:
2.5 m/min
Step-by-step explanation:
To find meters per minute, divide meters by minutes:
(7.5 m)/(3 min) = 2.5 m/min
The speed of the tortoise is 2.5 meters per minute.
Find the percent notation of 2.2
Answer:
2.2 x 100 = 220%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 2.2 × 100 = 220% (answer). ➥ The ease way: 1) Move the decimal point two places to the right: 2.2 → 22 → 220.
I hope this will help you
A restaurant offers two types of pizza
dough: sourdough and whole wheat.
The chefs can make three types of
pizza crust: thin, thick, or deep dish.
What is the probability that the next
customer will order a whole wheat
pizza with thick crust?
Answer:
1/6 or 16.6%
Step-by-step explanation:
There are 6 possible combinations, one of which being whole wheat with thick crust. Therefore there is a 1/6 chance.
You will need _____ml of the 95% solution
70 mL=25% alcohol
?mL=90% alcohol
90×70÷25
=252 mL
I think do like this....I'm not sure
Hope this help you
9514 1404 393
Answer:
420 mL
Step-by-step explanation:
Let x represent the amount of the 95% solution needed in the mixture. The the total amount of alcohol in the mixture is ...
0.25×70 + 0.95(x) = 0.85(70 +x)
0.10x = 42 . . . . . . . . subtract 17.5+0.85x
x = 420 . . . . . . . . divide by 0.10
You will need 420 mL of the 95% solution.
__
Additional comment
There will be 70+420 = 490 mL of solution, of which 85%, or 0.85×490 = 416.5 ml is alcohol. That alcohol is the total of 0.25×70 = 17.5 mL of alcohol from the 25% solution and 0.95×420 = 399 mL of alcohol from the added 95% solution. (17.5 +399 = 416.5)
