Answer: 1/16
Step-by-step explanation:
1/2 - 1/16 = 8/16 - 1/16 = 7/16
7/16 / 7 = 1/16
Answer:
[tex]{\boxed{\sf{x = \dfrac{1}{16}}}}[/tex]
Step-by-step explanation:
CONCEPT :
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
To solve this equation we will follow the given concept :
[tex]{:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{(1 \times 8) -1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{(8) -1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{7}{16}}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{1}{16} \times 1}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{1}{16}}}}[/tex]
[tex]{ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}[/tex]
Hence, the value of x is 1/16.
[tex]\rule{300}{2.5}[/tex]
Solve the inequality:
2x+5 < x-1/4
Answer:
x<-3
Step-by-step explanation
2x+5<x-1/4
in x-1/4 you should remove 4 so you should multiply 4 from both side
8x+20<x-1
subtract x from both side
8x-x<-1-20
7x<-21
divided by 7 from both side
x<-3 answer is x<-3
what is the area of the triangle
Answer:
36
Step-by-step explanation:
There are several ways to find area of triangle from vertex coordinates, the easiest is: (x₁*(y₂-y₃) + x₂*(y₃-y₁) + x₃*(y₁-y₂)) / 2
Area = ((-1)*(-6 - -6) + (-6)*(-6 - 2) + (3)*(2 - -6)) / 2
= (0 + 48 + 24) / 2
= 72/2
= 36
A town has a population of 2000 and grows at 4. 5% every year. What will be the population after 13 years, to the nearest whole number?.
Answer:
3544 people
Step-by-step explanation:
We can start by representing this as an exponential function, in the form [tex]y=a(b)^x[/tex]
2000 will be our a, or our initial value. We must convert our multiplier, 4.5% to a decimal, which is 1.045. 13 is our input since it's our number of years where we want to find the population. Now that we have our variables, lets make an equation.
[tex]y=2000(1.045)^13[/tex]
PEMDAS states that we first do exponents, so lets raise 1.045 to the 13th power.
[tex]y=2000(1.77219609724)[/tex]
Now we multiply by 2000!
[tex]y= 3544.39219448[/tex]
Rounded to the nearest whole number is 3544. Therefore, there will be 3,544 people living in the town in 13 years.
Lisa can harvest a field in 9.3 hours. Kali can harvest
the same field in 9.7 hours. Find how long it would take
them if they worked together.
Answer:
4.75 hours
Step-by-step explanation:
First you need to find the median of the two numbers. The fastest way to do it is to add 9.3 and 9.7 and divide by 2, which will give you 9.5. Since there's going to be two of them working, divide 9.5 by 2, and you get 4.75.
1/9.3 + 1/9.7 = 1/x
x=4.74789
If simplicity is to be applied,
rounded to tens: 0
rounded to ones: 5
rounded to tenths:4.7
rounded to hundreths:4.75
rounded to thosandths:4.748
PLEASE HELP!! MATHH
SUPER DESPERATE EVEN 1 ANSWER IS FINE
Answer:
4 x 3 x 2
Step-by-step explanation:
Hope that helps, I'm like 95% sure that's the answer.
Answer:
Question 1: C. 4 × 3 × 2 × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex]
Question 2: The volume is [tex]\frac{1}{12}[/tex] or 0.083333333
Question 3: The volume fo the solid figure is 234
Step-by-step explanation:
1. Volume of a rectangular prism = (length × width × height) cubic units
Length = 4 × [tex]\frac{1}{8}[/tex]
Width = 3 × [tex]\frac{1}{8}[/tex]
Height = 2 × [tex]\frac{1}{8}[/tex]
Volume = 4 × [tex]\frac{1}{8}[/tex] × 3 × [tex]\frac{1}{8}[/tex] × 2 × [tex]\frac{1}{8}[/tex]
Volume = 4 × 3 × 2 × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex]
So the correct option is:
C. 4 × 3 × 2 × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{8}[/tex]
2.
We have to fold the shape into a rectangular prism, look at the picture
Volume of a right rectangular prism = (length × width × height)
Length = [tex]\frac{1}{3}[/tex]
Width = [tex]\frac{1}{3}[/tex]
Height = [tex]\frac{3}{4}[/tex]
Volume = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{4}[/tex]
Multiply [tex]\frac{1}{3}[/tex] times [tex]\frac{1}{3}[/tex] by multiplying numerator times numerator and denominator times denominator.
[tex]\dfrac{ 1 \times 1 }{ 3 \times 3 } \times \left( \dfrac{ 3 }{ 4 } \right)[/tex]
Do the multiplications in the fraction [tex]\dfrac{ 1 \times 1 }{ 3 \times 3 }[/tex]
[tex]\dfrac{ 1 }{ 9 } \times \left( \dfrac{ 3 }{ 4 } \right)[/tex]
Multiply [tex]\frac{1}{9}[/tex] times [tex]\frac{3}{4}[/tex] by multiplying numerator times numerator and denominator times denominator.
[tex]\dfrac{ 1 \times 3 }{ 9 \times 4 }[/tex]
Do the multiplications in the fraction [tex]\dfrac{ 1 \times 3 }{ 9 \times 4 }[/tex]
[tex]\frac{3}{36}[/tex]
Reduce the fraction [tex]\frac{3}{36}[/tex] to the lowest terms by extracting and canceling out 3
Fraction form: [tex]\frac{1}{12}[/tex]
or
Decimal form: 0.083333333
So the volume of the right rectangular prism is [tex]\frac{1}{12}[/tex]
3. Look at the picture with the solid figure labeled
We can think of this shape as two different prisms ( A and B)
Volume of A = 4.5 × 6 × 6.5 = 175.5
Volume of B = 3 × 3 × 6.5 = 58.5
Total volume of the whole figure = 175.5 + 58.5
175.5 + 58.5 = 234
So the volume of the solid figure is 234
I need the answer step by step pls asap
Answer:
27
Step-by-step explanation:
[tex] \frac{2 {}^{3} \times 3 {}^{4} \times 4}{3 \times 32 } [/tex]
Make everything in the form of exponet.
[tex] \frac{ {2}^{3} \times {3}^{4} \times {2}^{2} }{3 {}^{1} \times 2 {}^{5} } [/tex]
Use the rule.
[tex]a {}^{m} \times {a}^{n} = a {}^{m + n} [/tex]
[tex] \frac{2 {}^{3 + 2} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
[tex] \frac{2 {}^{5} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
Cancel out like Terms.
[tex] \frac{3 {}^{4} }{3} [/tex]
Use the property
[tex] \frac{a {}^{m} }{a {}^{n} } = {a}^{m - n} [/tex]
So we have
[tex]3 {}^{4 - 1} = 3 {}^{3} [/tex]
[tex]3 {}^{3} = 27[/tex]
help me out please i need help
Answer:
Triangle 1: isosceles
Triangle 2: equilateral
Triangle 3: Scalene
help ;_;
find the cube root
³√64. ³√-216
[tex] - \times \frac{343}{100} } [/tex]
Step-by-step explanation:
³√64 = 4
therefore 4³ = 64.
³√-216 = -6
therefore -6³ = -216
how much animals have died from plastic in the ocean 2022?
Answer:
we dont know an exact but
Over 1 million marine animals (including mammals, fish, sharks, turtles, and birds) are killed each year due to plastic debris in the ocean
Step-by-step explanation:
Currently, it is estimated that there are 100 million tons of plastic in oceans around the world.
Answer:
over 1 million
Step-by-step explanation:
i answered this question a while ago
How much is the check written for in words?
Answer:
one hundred fourty dollars and eleven cents
30 is 10 times as much as
Answer:
Hi, 30 is 10 times as=30×10=300
Step-by-step explanation:
If you multiple with 30×10 we get as product is 300
if the mean of m,n,s,p and q is 12. Calculate the mean of (m-4), (n-3 ),(s-6), (p-2) and (q-8).
Answer:
7.4
Step-by-step explanation:
1. according to the condition (m+n+s+p+q)/5=12, it means (m+n+s+p+q)=60;
2. the required mean can be calculated:
[(m-4)+(n-3)+(s-6)+(p-2)+(q-8)]/5=[(m+n+s+p+q)-23]/5=[60-23]/5=37/5=7.4.
In circle C, r=32 units. What is the area of circle c
Answer:
≈3216.99088 OR 32π
Step-by-step explanation:
A=πr2=π·32≈3216.99088 OR 32π
17. What is the measure, in degrees, of angle x?
Let ,
130° + y = 180° — ( i )
x + 107° + y = 180° — ( ii )
now ( i )
130° + y = 180°
y = 180° - 130°
y = 50°
now substituting value of y in equation ( i )
[tex]x + 107 + y = 180 \\ x + 107 + 50 = 180 \\ x + 157 = 180 \\ x = 180 - 157 \\ [/tex]
x = 23°
Marcelo has 6 red marbles in his marble collection. The red marbles make up 12% of all the marbles. How many marbles are in Marcelo’s collection? Show your work.
The total number of marbles in Marcel's collection is 50.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Marcelo has 6 red marbles in his marble collection. Red marbles make up 12% of all the marbles.
The number of marbles in Marcel's collection is calculated as,
12% of marbles = 6
1% of marbles = 6 / 12
100% of the marbles= ( 6 / 12) x 100
100% of the marbles = 50
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
Dylan is recording the types of birds he sees while bird Dylan is recording the types of bird he sees wild bird watching in the park. On Day 1, he records seeing 16
different types of birds. On Day 2, his number drops by 25%. On Day 3, he records seeing 3 more types of birds
than on Day 2.
What was the percent increase from Day 2 to Day 3?
Enter your answer in the box.
Answer:
15%
Step-by-step explanation:
Ok so if you have to get rid of 25% of 16 than thats 12 because 4 quarters is 100 than you have to think how much does he have know which is 75% so three more types of birds adds 15% and 75 + 15= 90 and the increase was 15% so The answer is 15%
2x(3+4)to the 2nd power
Answer:
196
Step-by-step explanation:
-9r
r=7
Please help I'm tired and can't think
Answer:
-63
Step-by-step explanation:
-9 multiply by 7
Hey there!
-9r
= -9(7)
= -9 + -9 + -9 + -9 + -9 + -9 + -9
= -9 - 9 - 9 - 9 - 9 - 9 - 9
= -18 - 18 - 18 - 9
= -36 - 18 - 9
= -54 - 9
= -63
Thus, your answer is: -63
Fun fact!
2 negatives equals positive
2 positives equals positive
1 negative & 1 positive equals negative
1 positive & 1 negative equals negative
That’s why your result was a negative because you had 1 negative (-9) and 1 positive (7)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The figure shows a parallelogram ABCD where BÀD=65. E lies on DC such that BÈD=125.
Find:
(I) ADB
(ii) CBE
Answer:
ADB
Step-by-step explanation:
hlo have you forgotten me hlo hru zunair
Help !!!!!!!!!! How can I Select the expressions that are factored correctly.
Answer:
[tex]3x^2 + 14x + 8 = (3x+2)(x+4)[/tex]
[tex]x^2-10x+25=(x-5)^2[/tex]
Step-by-step explanation:
[tex]x^2 - 26 = (x-6)^2[/tex]
[tex](x-6)(x-6)[/tex]
[tex]x^2-6x-6x+36[/tex]
[tex]x^2-12x+36[/tex] (wrong)
[tex]3x^2 + 14x + 8 = (3x+2)(x+4)[/tex]
[tex](3x+2)(x+4)[/tex]
[tex]3x^2+12x+2x+8[/tex]
[tex]3x^2+14x+8[/tex] (true)
[tex]x^2-7x+10=(x+5)(x+2)[/tex]
[tex](x+5)(x+2)[/tex]
[tex]x^2+2x+5x+10[/tex]
[tex]x^2+7x+10[/tex] (wrong)
[tex]x^2-10x+25=(x-5)^2[/tex]
[tex](x-5)^2[/tex]
[tex](x-5)(x-5)[/tex]
[tex]x^2-5x-5x+25[/tex]
[tex]x^2-10x+25[/tex] (true)
Hope this helps!
When adding 3 and -9, how do you know that the sum is negative?
Answer:
You know it is negative because you are adding a small number and a bigger negative number. At first number lines are helpful to visualize it.
Step-by-step explanation:
Maybe this will help:
Let's say you are borrowing money from a friend and need to pay them back. You own your friends $9, but you only have 3. So, you give them your $3. This leaves you owning $6.
3-9=-6
negative = owes money
The temperature last evening was 15°Fahrenheit. It dropped 33° last night (-33). By noon today, it has warmed up only 5°. Add positive & negative numbers to tell what the temperature was at noon today?
Answer:
-13°
Step-by-step explanation:
Start at 15°
Subtract 33° -----> 15-33= -18°
It has warmed up by 5° (+5) -----> -18+5= -13°
Nina and Jo both ran a 13 km race. Nina took 2 hour 10 minutes to run the whole race. Jo started the race 7 minutes later than Nina but caught up when they had both travelled 11 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
I searched it up and it said the answer is 6.0869 mph
A Man's dream was to talk to his loved ones for a decade non stop. His network provider has a call rate of 11kobo/secs How much airtime does he need to accomplish his unrealistic dreams
Answer:
315,532,800 or 315,619,200 if you are going by seconds, but if it is asking for kobo then just multiply 11 by this, I am probably wrong, if I am I am so sorry
Step-by-step explanation:
(This purple side is what will be graded for the 605 project when you submit it!)
Complete your project on this side!
For this activity, you will need two coins.
First, you will determine the theoretical probability of events.
Then, you will flip the coins 100 times and determine the experimental probability of the events.
Flip two coins 100 times, and record the results of each coin toss in a table like the one below:
Result
Frequency
Two Heads
28
Two Tails
30
1 Head, 1 Tail
42
complete below
Answer the following questions based on the data you gathered. You must show your work to receive credit.
1. What is the theoretical probability that a coin toss results in two heads showing?
2. What is the experimental probability that a coin toss results in two heads showing?
3. What is the theoretical probability that a coin toss results in two tails showing?
4. What is the experimental probability that a coin toss results in two tails showing?
5. What is the theoretical probability that a coin toss results in one head and one tail showing?
6. What is the experimental probability that a coin toss results in one head and one tail showing?
7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
1. The theoretical probability that a coin toss results in two heads showing is 25% :
The probability of a head showing the first time is 50%
The probability of getting a head twice is 50% x 50% = 25%
2. The experimental probability that a coin toss results in two heads showing is 28/100 (28%)
3. The theoretical probablity that a coin toss results in two tails showing is 25% ( 50% x 50% )
4. The experimental probability that a coin toss results in two tails showing is 30/100 (30%)
5. The theoretical probability that a coin toss results in one head and one tail showing is 25% (also 50% x 50%)
6. The experimental probability that a coin toss results in one head and one tail showing is 42/100 (42%)
7. The theoretical probabilities have a difference from experimental probabilities because theoretical probabilities are equal odds of happening, while experimental probabilities might be biased because we might get tails for example, 10 times in a row, which messed up the odds.
Hope this helps. somehow.
On the first day it was posted online, a music video got 390 views. The number of
views that the video got each day increased by 30% per day. How many total views
did the video get over the course of the first 13 days, to the nearest whole number?
Answer:
The answer is 7212 views
Step-by-step explanation:
Given;A music video got 390 views.The number of views that the video got each day increased by 30% per day.To Find;Total views did the video get over the course of the first 13 daysSo, For the first day the number of views is 390
Second Day
30% increased of total views
390 × 30 ÷ 100 = 11.7 = 12
390 + 12 = 402
Third Day
30% increased of total views
402 × 30 ÷ 100 = 120.6 = 121
402 + 121 = 523
Fourth Day
30% increased of total views
523 × 30 ÷ 100 = 156.9 = 157
523 + 157 = 680
Fifth Day
30% increased of total views
680 × 30 ÷ 100 = 204
680 + 204 = 884
Sixth Day
30% increased of total views
884 × 30 ÷ 100 = 265.2 = 265
884 + 265 = 1149
Seventh Day
30% increased of total views
1149 × 30 ÷ 100 = 344.7 = 345
1149 + 345 = 1494
Eight Day
30% increased of total views
1494 × 30 ÷ 100 = 448.2 = 448
1494 + 448 = 1942
Ninth Day
30% increased of total views
1942 × 30 ÷ 100 = 582.6 = 583
1942 + 583 = 2525
Tenth Day
30% increased of total views
2525 × 30 ÷ 100 = 757.5 = 758
2525 + 758 = 3283
Eleventh Day
30% increased of total views
3283 × 30 ÷ 100 = 984.9 = 985
3283 + 985 = 4268
Twelth Day
30% increased of total views
4268 × 30 ÷ 100 = 1280.4 = 1280
4268 + 1280 = 5548
Thirteenth Day
30% increased of total views
5548 × 30 ÷ 100 = 1664.4 = 1664
5548 + 1664 = 7212
Thus, Total views did the video get over the course of the first 13 days is 7212 Views.
-TheUnknownScientist 72
What is the answer of 150⅗ – 10 – 129⅘
Answer:
10.8 or 5 4/5
Step-by-step explanation:
Im guess its right answer
Find the perimeter of the rectangle
Answer:
10x² + 12x + 16
Step-by-step explanation:
Perimeter = 2(length + width)
Solve: Plug in given information:
2(5x² + 5x + 5 + x + 3)2(5x² + 6x + 8)10x² + 12x + 16-Chetan K
Write the slope-intercept form of the equation for the line.
Answer:
The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.
Step-by-step explanation:
Find the 66th term of the following arithmetic sequence. 15,24,33,42