Answer:
[tex]-3+\sqrt{5}[/tex]
Step-by-step explanation:
Simplify:
[tex]\frac{-9+3\sqrt{5} }{3}[/tex]
Factor out 3:
[tex]\frac{3(-3+\sqrt{5}) }{3}[/tex]
Reduce the fraction by crossing out the 3's:
[tex]-3+\sqrt{5}[/tex]
If I have a ratio 2:6, then what is x/18?
f I have a ratio 5:7, then what is (x+3):7?
Answer:
1. x=6
2. x=2
Step-by-step explanation:
2:6
x:18
From 6 to 18, 6 was multiplied by 3. To keep the equality, we must multiply the other side by three as well. Therefore, x is equal to 2*3 which equals 6.
x=6.
5:7
(x+3):7
For this one, the second value did not change, so we know that x+3 has to equal 5. Therefore, x=2.
x=2
in school 2/3 of the students study a language. of those who study a language2/5 Study French. find the ratio of students who study French to the students who don’t study French. give your answer in the simplest form
Answer:
The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]
Step-by-step explanation:
2/3 of the students study a language. Of those, 2/5 study french:
So the proportion of students who study French is given by:
[tex]\frac{2}{3} \times \frac{2}{5} = \frac{2*2}{3*5} = \frac{4}{15}[/tex]
Proportion of students who dont study French:
[tex]1 - \frac{4}{15} = \frac{15-4}{15} = \frac{11}{15}[/tex]
Ratio of students who study French to the students who don’t study French.
Division of fractions is the multiplication of the numerator by the inverse of the denominator. Ratio of a to b is a divided by b. So
[tex]\frac{\frac{4}{15}}{\frac{11}{15}} = \frac{4}{15} \times \frac{15}{11} = \frac{4}{11}[/tex]
The ratio of students who study French to the students who don’t study French is [tex]\frac{4}{11}[/tex]
It takes 6 labourers 7 days to complete a job. How many labourers would it take to complete the job in 3 days?
I
labourers
Answer:
12 or 13
Step-by-step explanation:
14 labourers complete the job in 3 days.
What is the ratio?The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Given data as :
It takes 6 labourers 7 days to complete a job,
Amount of work completed by 6 labourers over 7 days = 1
∵ Six labourers completed part of the work in one day = 1/7
∴ one labourers completed part of the work in one day = (1/6)(1/7) = 1/42
Let x number of labourers complete the job in 3 days.
x × 3 ×(1/42) = 1
x = 42/3
x = 14
Hence, 14 labourers complete the job in 3 days.
Learn more about the Ratio here :
brainly.com/question/1504221
#SPJ2
The coefficients in the expansion of (x + y)^6 are
Answer:
Polynomial Degree:
6
Leading Term:
x⁶
Leading Coefficient:
1
Answer:
Step-by-step explanation:
hello :
here is an solution
so i isososo ooxsoaksksmmsmsns
I'm very confused please help me ASAP
Answer:
The degree of the equation is 5.
Step-by-step explanation:
At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.
What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:
(2x + 3) * (x² - 1)
In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:
(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)
= 2x³ - 2x + 3x² - 3
Now, we apply the same thing with the other two expressions:
(x + 1) * (x - 2)
= (x * x) + (x * -2) + (1 * x) + (1 * -2)
= x² - 2x + x -2
= x² - x - 2
For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:
(2x³ - 2x + 3x² - 3) * (x² - x - 2)
= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)
+ (-2x * x²) + (-2x * -x) + (-2x * -2)
+ (3x² * x²) + (3x² * -x) + (3x² * -2)
+ (-3 * x²) + (-3 * -x) + (-3 * -2)
= (2x⁵ - 2x⁴ - 4x³)
+ (-2x³ + 2x² + 4x)
+ (-3x⁴ - 3x³ - 6x²)
+ (-3x² + 3x + 6)
Simplifying:
= 2x⁵ - 5x⁴ - 9x³ - 7x² + 7x + 6The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.
Hope this helps
Solve the system using substitution. Show your work and give your answers as an ordered pair.
I am not sure how to solve this could anyone help???
Answer:
about 137 degrees
Step-by-step explanation:
see attached picture
2 3/4 + 5 1/2
PLEASE I NEED ANSWER URGENT
Write 2.71x10-3 as an ordinary number.
Step-by-step explanation:
[tex] {2.71 \times 10}^{ - 3} [/tex]
This can be rewritten as
[tex]2.71 \times \frac{1}{10^{3} } [/tex]
If we will solve this way,
[tex]\frac{2.71}{1000} = 0.00271[/tex]
But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.
From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.
If the exponent has a positive value, move TO THE RIGHT.
For example,
[tex]2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710[/tex]
Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.
Use summation notation to write the series -1 + 2 + 5 + 8 + 11... for 10 terms, then evaluate the sum.
Answer:
-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26
10 terms
sum = 125
Which equation is correct? (6 points)
cot x° = opposite ÷ adjacent
sec x° = opposite ÷ adjacent
sec x° = adjacent ÷ opposite
cot x° = adjacent ÷ opposite
Answer:
option d or last one
GOOD LUCK FOR THE FUTURE! :)
Answer:
The answer is cotx=adjacent/opposite
Step-by-step explanation:
I took the test and this is correct!!
Whats the volume of them combined
Answer:
72
Step-by-step explanation:
2x2x13=52
2x2x5=20
52+20=72
The cost of making copies at Store W is $6 regardless of the number of copies. The cost of making copies at Store Z is 50¢ per copy plus a $1 charge for the use of the machine. The total cost, c, of making n copies at either store can be represented by an equation. Write and graph a system to find how many copies you have to make for the cost to be the same at both stores. Use pencil and paper. If you have to make a small number of copies which store should you go to? If you have to make a large number of copies which store should you go to? Explain.
Write the system of equations. Choose the correct answer below.
A.
Store W
c=6
Store Z
c=0.50n−1
B.
Store W
c=0.50n−6
Store Z
c=1
C.
Store W
c=0.50n+1
Store Z
c=6
D.
Store W
c=6
Store Z
c=0.50n+1
Your answer is correct.
Graph the system of equations. Choose the correct answer below
(Anwser fast please)
A square plot is 14 meters long.Find its area?
Answer:
Area of square= side*side
So we will have,
14*14
= 196cm²
4: The angles of a triangle are in the ratio 3:4:5. What is the measure of the smallest
angle?
A. 15°
B. 30°
C. 45°
D. 750
Answer:
sum of all angle = 180
given angle = 3X, 4 X AND 5 X
3 X + 4 X+ 5 X = 180
12 X = 180
X = 180/ 12
X = 15
X= 15 IS apply to given angle.
3 X= 3 ×15 = 45
4 X= 4 ×15 = 60
5 X = 5 ×15 =75
ANS; The smallest angle is 45
Step-by-step explanation:
Wren and Jenni are reading the same book. Wren is on page 12 and reads 3 pages every night. Jenni is on page 7 and reads 4 pages every night. After how many nights will they have read the same number of pages? How many pages will that be?
Answer:
After 5 nights they will have read the same number of pages. It would be 27 pages.
Step-by-step explanation:
12+3x=7+4x
12=7+x
5=x
12+3(5)=27
7+4(5)=27
Hope this helps!:)
10√1/5 find the mixed surd..
Answer:
2√5............or..........4.47214
Multiply the sum 5 and 3 and the sum of 8 and 9
Answer:
8 x 17 = 136 give me brainliest
Step-by-step explanation:
Nathan has $40 in a savings account. The interest rate is 5% per year and is not
compounded. How much interest will he earn in 1 year?
Use the formulai = prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and is the time in years.
Submit
Answer:
He will earn 2 dollars per year with 40 dollars in his account. the next year he will get 2.1 dollars.
Step-by-step explanation:
The distance between a chord and the center of a
circle is 4 cm. What is the radius of the circle if
the chord measures 16 cm?
in an election they are four canadates j k l and m Teri is drawing a pie chart to show the results the sector for j and k have been drawn
Answer:
2+2=4
Step-by-step explanation:
Is Andrew correct or incorrect explain
because 2^28 = 268,435,456
follow meAnswer:
Andrew is incorrect.
Step-by-step explanation:
He is incorrect because instead of multiplying 2 x 28, he should have did 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2, which is 268,435,456.
I tm pretty sure this is correct, please comment if it is right or wrong
i will give brainliest if your answer is correct
Answer:
Faces
Step-by-step explanation:
They both have 5 faces each....
Hope it helps!!!
In need help with this
look at picture
Complementary angles
Answer:
x = 28
Step-by-step explanation:
x + 40 + 22 = 90 {Complementary angles}
x + 62 = 90
x = 90 - 62
x = 28
Help please I will give Brainliest
Answer:
Reduce the expression, if possible, by eliminating common factors.
Exact form:
1/30
Decimal form:
0.03
Find the length of the side and I’ll give brainlyist
Answer:
the answer is about 7.5
Step-by-step explanation:
hope this helps
tell me if you want me to explain it
An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redville directly
Answer:
230
Step-by-step explanation:
5.6=I+4.09 what is I? I need help I just need answers in the 10 minutes please helpp
Answer:
the answer should be I= 1.51
Answer:
i=1+0.51/1
Step-by-step explanation:
5.6=i+4.09
We move all terms to the left:
5.6-(i+4.09)=0
We get rid of parentheses
-i-4.09+5.6=0
We add all the numbers together, and all the variables
-1i+1.51=0
We move all terms containing i to the left, all other terms to the right
-i=-1.51
i=-1.51/-1
i=1+0.51/1
A student organization at a local college posted a poll on its website. After a semester, the results were tallied, and it was found that 95% of the respondents were in favor of raising fees to increase funding for student organizations. This conclusion was based on data collected from 5000 votes cast on the website. Which sampling technique is being used
Answer: voluntary response sampling
Step-by-step explanation:
Based on the information given in the question, the sampling technique that is being used is the voluntary response sampling.
A voluntary response sampling refers to a sample which is gotten when a researcher tells the members to join a particular sample and then the ones that are interested then joins. Such participants volunteer voluntarily and take part in the research studies and give their opinions on the topic.
Since the student organization at a local college posted a poll on its website and the interested students took part, it is a voluntary response sampling.