Answer:
x(x +3) = 108
Step-by-step explanation:
The longer string is 3 inches longer than the shorter string, whose length is x. Then the longer string is (x+3), and the product of their lengths is ...
x(x +3) = 108 . . . . . equation for finding the shorter length
__
In standard form, the equation is ...
x² +3x -108 = 0
(x -9)(x +12) = 0 . . . . . factored form
The values of x that make these factors zero are 9 and -12. The shorter string length is 9 inches.
_____
Additional comments
John's guitar is unusually small if its strings are 12 inches or less.
Note that factoring is accomplished by finding factors of 108 that differ by 3. This requires the same thinking process as solving the problem directly without the use of an equation. We know the product of two numbers is 108 and one is 3 larger than the other.
The difference (3) is sufficiently smaller than the product that the square root of the product (10.4) will be about halfway between the numbers. We can reasonably guess their values to be 10.5±3/2 = {9, 12}. (There is a more formal way to make this calculation by defining a variable (a) to be the average of the two lengths: Then you have (a-3/2)(a+3/2)=108, or a² = 110.25 and a=10.5. This matches our approximation.)
he table shows the distribution, by age, of a random sample of 3720 moviegoers ages 12-74. If one
moviegoer is randomly selected from this population, find the probability, expressed as a simplified
action, that the moviegoer is not in the 65-74 age range,
Age Distribution of Moviegoers
Ages
Number
1224
1220
25-44
940
45-64
830
65-74
730
The probability is
(Type an integer or a simplified fraction)
Time Remaining:01 23:13
Nex
Module 8 Homework
Using it's concept, it is found that there is a 85% probability that the moviegoer is not in the 65-74 age range.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the total number of moviegoers is given by:
T = 1224 + 1220 + 940 + 830 + 730 = 4944.
Out of those, the number not in the 65-74 age range is:
D = 4944 - 730 = 4214.
Hence, the probability is given by:
p = 4214/4944 = 0.85 = 85%.
There is a 85% probability that the moviegoer is not in the 65-74 age range.
More can be learned about probabilities at https://brainly.com/question/14398287
5x3+8+3
ANSWER..?bra-
Answer:
26
Step-by-step explanation:
(5x3) + (8+3)
15 + 11
26
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
→ Answer :-[tex]\sf{= 5x^3 \: + \: 19}[/tex]
→ Explanation :-[tex]\sf{5x^3 \: + \: 8 \: + \: 8 \: + 3}[/tex]
[tex]\sf{Add \: the \: numbers: \: 8 \: + \: 8 \: + \: 3 = 19}[/tex]
[tex]\sf{= 5x^3 \: + \: 19}[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
6) Out of 15 students only 10 passed the geography scam. Write the fraction of students
Who failed in the geography cam.
Answer:
5/15
Step-by-step explanation:
15 students and 10 passed which means 5 failed
Answer:
The fraction is 1/3 or one-third.
Step-by-step explanation:
Have you smiled today? its very important:)
Reading box plots
Find the interquartile range (IQR) of the data in the box plot below.
math problems
Number of math problems
assigned by Ms. O'Brien
Look at the screenshot.
Find the missing side of each triangle. Leave your answers in simplest radical form.
5)
14
х
11
V226
х
7)
6
χ
7
x
13
5V2
P
Oh I
Answer:
5) [tex]x=\sqrt{317}[/tex]
6) [tex]x = \sqrt{186}[/tex]
Step-by-step explanation:
You have to know Pythogeroem theorem, which is:
[tex]a^2 +b^2 = c^2[/tex], where a, b are the sides of the triangle and c is the hypothesis (the side in front of the 90° angle)
5)
Plug in the numbers into the equation, make sure c is the hypothesis (the side in front of the 90° angle). Hypothesis is x in this example.
[tex]14^2+11^2 = x^2\\196 + 121 = x^2\\\sqrt{196 + 121} = x\\\sqrt{317} = x[/tex]
6) Hypothesis is [tex]\sqrt{226}[/tex]
[tex]7^2 + x^2 = \sqrt{226}^2\\7^2 + x^2 = 226\\49 + x^2 = 226\\x^2 = 186\\x= \sqrt{186}\\[/tex]
Same steps for 7) and 8)
Emma and Ellie are twins and their birth weight can be compared using a scale of 0.75 pounds:0.9 pounds. If Emma weighed 6.4 pounds at birth, how much did Ellie weigh?
By comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.
What is Ratio?Ratio simply compares values, it shows how much of one thing is related or compared to another thing.
Given the data in the question;
Scale of Emma SEmma = 0.75poundsScale of Emma SEllie = 0.9poundsWeight of Emma WEmma = 6.4poundsWeight of Ellie WEllie = XTo determine the weight of Ellie, we simply say;
0.75pounds : 0.9pounds = 6.4pounds : X
0.75pounds / 0.9pounds = 6.4pounds / X
Cross multiply
0.75pounds × X = 0.9pounds × 6.4pounds
0.75pounds × X = 5.76pounds²
X = 5.76pounds² / 0.75pounds
X = 7.68pounds
X = 7.7pounds
Therefore, by comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.
Learn more about ratio here: https://brainly.com/question/13419413
1
a
Purple
9) Jada is allergic to cats so she has decided to
get a couple of pet fish. There are 10 fantail
goldfish and 9 calico goldfish in a tank at the
store. Jada tells the pet store employee that
she will take the first two fish he catches. The
employee dips in a net and catches one fish,
puts it in a bag of water for Jada, and then
catches a second fish in the same manner.
a
What is the probability Jada ends up with two
Answer:
hello the answer is B
Step-by-step explanation:
because 2+2+2+2+22+2+2+2+2++2+2+2+2++2++2+2+2+2++2+2+2+2++2+2+2+2+2+2+2+2+2+2++2=I don't know
A triangle has sides with lengths of 12 meters, 16 meters, and 20 meters. Is it a right
triangle?
yes
no
If a single 4-sided die is tossed once, find the probability of rolling a number greater than 3.
Answer:
i'd say an estimate of 1/4
im just guessing im only good at middle school math
Step-by-step explanation:
Pls help me with those 2 pls help get this corrected
Answer:
this question have the 552.792 and centimeters of square
A rectangle measured 3/4 units long and 1/3 unit wide. find the area.
Solve for f(-3) please
Answer:
55
Step-by-step explanation:
[tex]f(x) = 6{x}^{2} - x - 2[/tex]
[tex]f( - 3) = 6 { (- 3)}^{2} - ( - 3) - 2[/tex]
[tex]f( - 3) = 6(9) + 3 - 2[/tex]
[tex]f( - 3) = 54 + 1 = 55[/tex]
[tex]f( - 3) = 55[/tex]
I hope it helped you
pls help!
An empty container in the shape of a cube 6 inches deep is filled with plastic cubes. How many plastic cubes measuring 1 inch across each face will it take to fill the container? Enter your answer in the box.
Answer:
The Answer is 108, simply you find the volume of the cube 6 x 6 x 6 = 216. Since there are 108 "1-inch" cubes that fill the big cube half way you divide the volume of the big cube 216 by 2, so 216/2 which 108 will be your answer because, if you have a big cubed box that measures 6 inches in width, height, and length and you have 216 "1-inch" cubes, then you fill the box halfway, you will be left over with 108 "1-inch" cubes. You can also think about this with a cup of water, if you pour 3 cups of water into a glass and you drink half of that glass you will have half a cup of water or 1.5 cups of water left, if you drink 1/3 of the glass you will have 2 cups left. Hope I helped and Brainliest would be appreciated
Step-by-step explanation:
:)
Answer:
108
Step-by-step explanation:
hopefully it helps :)
Frank needs to pay R60 000,00 towards his son’s university fees in three years’ time. If he has R46 150,30 now, at what interest rate per year compounded monthly, must he invest his money? [1] 10,00% per year compounded monthly [2] 8,78% per year compounded monthly [3] 2,50% per year compounded monthly [4] 13,16% per year compounded monthly
The interest rate Mr Frank must invest his money is at 10% per year compounded monthly
That is option 1.
Calculation of interest ratesThe amount for Mr Frank's son school fees = R60 000.00
Cash at hand( principal amount) = R46 150.30
Therefore the simple interest needed to make up R60 000.00= R60 000.00 - R46 150.30= 14,849.70
Time of investment = 3 years
Therefore the rate = simple interest × 100/ principal×time
Rate (R) = 14,849.70 × 100/ 46 150.30× 3
= 1,484,970/135,450.9
= 10.0%
Therefore, the interest rate Mr Frank must invest his money is at 10% per year compounded monthly.
Learn more about simple interest here:
https://brainly.com/question/25793394
select the place where the digit 2 sits in this number 428,031 what is the answer
Answer:
The ten-thousands place. :)
Step-by-step explanation:
Answer:
Ten thousands place.
Is 10/8 x 20 greater than or less than 20? Please explain!
Kevin started his science test at 2:43p.m. and finished the test 75 minutes later. Kevin has football practice at 4:15p.m. How much time did kevin have between the end of the end of the test and the beginning of football practice?
17min
hope it helps...!!
Answer:
17 minutes
Step-by-step explanation:
Between 2:43 pm and 3:00 pm is 17 minutes. This means that by 3:00 pm, Kevin will have spent 58 minutes (75-17). By 3:58 pm, Kevin will have been done with this test. From 3:58 pm to 4:00 pm is 2 minutes in addition to the 15 minutes (4:15 pm) is 17 between the end of the test and the beginning of football practice.
Luis and Grandma talked for a total of
2212 minutes last week. How many minutes
did they talk on Wednesday?
OLZ HELP ILL MARK AS BRAINLEST
Which sentence provides supporting evidence for the inference "Sam is a 2 points writer with natural talent"? * Sam published his first book, a collection of poetry, at the age of 16. Sam hoped that one day he would live in Paris, a city brimming with inspiration. O Sam was thoroughly interested in his English teacher's lecture that day. Sam loved to read the letters his grandfather wrote to his grandmother when they were young
Answer:
Step-by-step explanation:
Sam published his first book, a collection of poetry, at the age of 16.
The greatest integer function, shown below, is defined so that it produces the greatest integer___
or equal to x.
fx) = [[x]]
Answer:
The answer is x(4)
Step-by-step explanation:
you multiply
if f(x)=2x^2+3x-6 what is the value of f(2)
Answer:
8
Step-by-step explanation:
put in '2' where 'x' is
2 (2^2) + 3 ( 2) - 6 = 8
A savings account balance is compounded annually. If the interest rate is 2.7% per year and the current balance is $4,228.00, in how many years will the balance reach $5,518.73?
The number of years it will take the balance to reach $5,518.73 with annual compounding is 9.87 years.
When will the balance reach $5,518.73?When an account earns annual compounding, it means that both the interest accrued and the amount deposited increases in value once a year.
The formula that can be used to determine the number of years is:
Number of years = (In FV / PV) / r
FV = future valuePV = present valuer = interest rate(in 5518.73/4228) / 0.027 = 9.87 years
To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217
Is 5 or 9 farther from 0?
9 is farther from 9 than 5
5 is farther from 0 than 9.
Answer:
My brains wires got crossed just reading this.
（；´д｀）ゞ
So give me a second while I try to wire them back.
...
...
Ok so,
Here's a little scale
0 1 2 3 4 5 6 7 8 9
^ ^ ^
Here is 0 Here is 5 And here is 9
So,
You say 9 is farther from 9 than 5. How if 9 is at 9? (っ °Д °;)っ
Can't help you there m an.
¯\_(ツ)_/¯
Then you say 5 is farther from 0 than 9.
Its actually closer to 0 than 9 is from 0. Like literally count backward and you can see you have to count less from 5 to 0 than you would for 9 to 0.
Im not sure dude.
Im a little confused now.
What were you even asking for in the first place?
｢(ﾟﾍﾟ)
1: The dimensions of a solid, rectangular block are in the ratio of 5 : 4:3. If the volume is equal to the volume of a cube of side 28 cm, find the length of the longest side of the cuboid, giving your answer correct to 1 decimal place.
Answer:
Given, the dimension of a rectangular block in from of cuboid is in the ratio 5:4:3. The volume of the block is equal to the volume of cube of length 28 cm. Let the length , breadth and height of the cuboid be 5x , 4x and 3x respectively. Therefore the length of the longest side of the cuboid is = (7.2×5)cm=36 cm.
Step-by-step explanation:
The difference between 32.6 and a number is 10.2
Answer:
22.4
Step-by-step explanation:
Let that number be " x ".
The difference between 32.6 and a number is 10.2
32.6 - x = 10.2
Add x on both sides,
32.6 - x + x = 10.2 + x
32.6 = 10.2 + x
10.2 + x = 32.6
Substract x on both sides,
10.2 - 10.2 + x = 32.6 - 10.2
x = 22.4
Therefore,
The number is 22.4
Answer:
22.4
Step-by-step explanation:
First we can make an equation to find the unknown number:
Difference mean subtraction:
32.6 - x = 10.2
To do this we can subtract 32.6 from both sides to isolate -x or to make -x the subject:
32.6-x-32.6 = 10.2 - 32.6
-x = -22.4
Now we can multiply both sides by -1 to make x positive:
-(-x) = -(-22.4)
x= 22.4
Find the measures of the interior angles.
Amy is considering visiting her new friend at one of his beach houses in Florida. She really loves the
warm weather, so she would like to choose to go somewhere with a high median temperature, and a
small interquartile range. Which place should she choose to visit?
Ft. Meyers
Jacksonville Beach
I
Pensacola Beach
Destin
HI
70 75 80 85
*To 75 80 B5 S5 10
Answer:
Destin
Step-by-step explanation:
Only one that passes 85
Amy is considering visiting her new friend at one of his beach houses she chooses to visit Destin and 85.
Amy is considering visiting her new friend at one of his beach houses in Florida.
She really loves the warm weather,
So she would like to choose to go somewhere with a high median temperature, and a small interquartile range.
We have to determine the place should she choose to visit.
What is the interquartile range?
The interquartile range is a measure of where the middle fifty is in a data set.
Destin HI 70 75 80 85.
Here She can choose the 4th position and which is 85.
The only one that passes 85.
Amy is considering visiting her new friend at one of his beach houses she chooses to visit Destin and 85.
To learn more about the range visit:
https://brainly.com/question/10197594
please help with this i’ll give brainliest
Answer:
Answer to part A:
1 notebook = $2.5
1 pen = $1.5
Answer to part B:
= 3 pens.
Step-by-step explanation:
Here's the simultaneous equation.4n + 3p = $14.50
5n + 6p = $21.50
Multiply the numerator by the denominators first number and vice-versa.5(4n + 3p) = $14.50
4(5n + 6p) =$ 21.50
Here's what you should get.20n + 15p = $72.50
20n + 24p = $86
Eliminate the like numbers by subtracting the denominator from the numerator.20n - 20n = 0
15p - 24p = -9p
$72.50 - $86 = -$13.5
Divide the result after the equal sign by the result before the equal sign.-$13.5 ÷ -9 = $1.5p
Since we've found the cost of one pen as $1.5, lets substitute any of the first equations to get the cost of one notebook.4n + 3p = $14.50
4n + 3($1.5) = $14.50
4n + $4.5 = $14.50
4n = $14.50 - $4.5
4n = $10.00
n = $2.5
Here's the answer to part A:1 notebook = $2.5
1 pen = $1.5
Part B::::::::::::::::::1 ($1.5) = 3($2.5)
$1.5 + $7.5 = $9.0
$27 ÷ 9 = $3
Therefore, she'll buy each supply thrice:3 ( $1.5 + $7.5 ) = 3 ( $9.0 )
( $4.5 + $22.5 ) = ( $27 )
$4.5 + $22.5 = $27
Answer to part B:= 3 pens.
can you help me solve this problem ???
Step-by-step explanation:
2nd one
we need 3 2/5 that is 3+ 2/5
-7 1/5 = -7-1/5
so 2nd one
what is the radius of a circle with a area of 112 square inches
Answer:
[tex]\displaystyle 5,9708213214...\:in.[/tex]
Step-by-step explanation:
[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}[/tex]
I am joyous to assist you at any time.