Answer:
4
Step-by-step explanation:
Given that :
Clients are interviewed in groups of 2 on the first day; meaning two persons at a time
Second day, clients are interviewed in groups of 4; meaning 4 persons at a time.
Therefore, if the same number of clients are to be interviewed on each day, the smallest number of clients that could be interviewed each day could be obtained by getting the Least Common Multiple of both numbers: 2 and 4
- - - - 2 - - - 4
2 - - - 1 - - - 2
2 - - - 1 - - - 1
Therefore, the Least common multiple is (2 * 2) = 4
Therefore, the smallest number of clients that could be interviewed each day is 4.
MATH QUESTION: When 8668/25 + 4141/9 - 5533/25 is computed and written as a mixed number in simplest form, what is the fractional part of that mixed number?
Answer:
23/45
Step-by-step explanation:
8668/25 + 4141/9 - 5533/25
= 26348/45
= 585(23/45)
=23/45
Which equation can be used to solve for x in the following diagram? Choose 1 answer. 2x° degrees, 4x° degrees, 150° degrees
Answer:
The answer is option D.
Step-by-step explanation:
Hi, there!!!
Here, if you closely look this figure, you will find that AB and CD are interested at a point O.
now, OP is just a line constructed from point "O".
now, 2x°+4x°=150°.....is equation.
{Because, They are vertically opposite angle}
When two st. line intersects at a point then the abgle formed oppositely are equal.
Hope it helps..
a=v^2/r Solve the formula for r
Answer:
[tex]\Large \boxed{r =\frac{v^2 }{a}}[/tex]
Step-by-step explanation:
[tex]\displaystyle a=\frac{v^2 }{r}[/tex]
We need to rearrange and solve the formula for [tex]r[/tex].
Multiply both sides of the equation by [tex]r[/tex].
[tex]\displaystyle a \times r=\frac{v^2 }{r} \times r[/tex]
Simplify the equation.
[tex]ar=v^2[/tex]
Divide both sides of the equation by [tex]a[/tex].
[tex]\displaystyle \frac{ar}{a} =\frac{v^2 }{a}[/tex]
Simplify the equation.
[tex]\displaystyle r =\frac{v^2 }{a}[/tex]
What is the solution to:
[tex] \frac{5}{8} = \frac{m}{12} [/tex]
HELP! answer if you can.
Answer:
[tex]\boxed{m=7.5}[/tex]
Step-by-step explanation:
Hey there!
Cross multiply the given info
60 = 8m
Divide both sides by 8
m = 7.5
Hope this helps :)
Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.
Answer/Step-by-step explanation:
1. <B is an inscribed angle in a circle which intercepts arc AC.
Therefore, m<B = ½ of m<AC
B = ½ * 128° = 64°
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. The circle given shows two chords intersecting at point H.
According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.
Therefore,
[tex] 10*x = 14*5 [/tex]
Solve for x
[tex] 10x = 70 [/tex]
Divide both sides by 10
[tex] x = 7 [/tex]
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!
In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is
(x,y)→(x-2, y-6).
In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.
Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.
Answer:
She moved 3 to the left and 5 down.
She could have calculated each point seperately.
A(1,-1) then subtract 2 and subtract 6 from the x and then the y-coordanate, which gets you to A'(-1,-7). Then, do this with every other coordanate and you will get your answer. Hope this helped!
solve 4w–3w+2w=24
Please
We need to simplify the left side first.
On the left side, all the terms can be combined.
So 4w - 3w + 2w is 3w.
So we have 3w = 24.
Next, dividing both sides by 3, we have w = 8.
So our solution is w = 8.
Answer
[tex] \boxed{ \huge{ \bold{ \sf{ \boxed{w = 8}}}}}[/tex]
Step by step explanation
[tex] \sf{4w - 3w + 2w = 24}[/tex]
Collect like terms
⇒[tex] \sf{w + 2w = 24}[/tex]
⇒[tex] \sf{3w = 24}[/tex]
Divide both sides of the equation by 3
⇒[tex] \sf{ \frac{3w}{3} = \frac{24}{3} }[/tex]
Calculate
⇒[tex] \sf{w = 8}[/tex]
Hope I helped!
Best regards!!
Cindy and victor are playing a math game. The winner must get three in a row of the same type of real numbers and justify how do numbers are alike. Cindy said that Cindy and Victor are playing a math game. The winner must get three in a row of the same type of real numbers and justify how the numbers are alike. Cindy said she won because she was able to get three rational numbers on a diagonal. Victor said he won with three positive numbers in a column. Can both players say they won, for different reasons? Explain
Please see attachment for question
Answer:
Yes both players can say they won. Cindy and Victor won
Step-by-step explanation:
Both players can say they won because they both kept to the rules of the game. Cindy got rational real numbers on a diagonal while Victor got positive numbers on a column which are real numbers too. Pi on the last row on his column for the diagram on the right(see attachment) is 22/7 or 3.14159... is an irrational real number but is still a positive real number.
simplify 5 x 5^2 in index form
Answer:
5x(25)
Step-by-step explanation:
Yazmin is investigating the growth of plants under different conditions for her science class. Once the little sprouts were 1 inch tall, she found that they were growing at a steady rate of about 1/2 inch per day. Write a function that helps Yazmin to see how many days it takes for the plants to reach a given height. Let h = height of the plant (inches), and let d = number of days (days)
Answer:
0.5+d=h
Step-by-step explanation:
If a plant is growing at a steady rate of 0.5 inches (h) in 1 day (d) then after one day your equation should look like: 0.5+1 which would give you the height of the plant in inches. If this is true, then you would keep the height per day the same (0.5) substitute the 1 for d (one day); then your equation would look like this: 0.5+d which would give you the height of the plant in inches (h).
0.5+d=h
The function that helps Yazmin to see how many days it takes is h = 1 + 0.5d.
What is a function?Functions were originally the idealization of how a varying quantity depends on another quantity.
Now it is given that,
Height of sprout = 1 inch
Growth per day = 1/2 inch
Let h = height of the plant (inches), and let d = number of days (days)
∵ Growth per day = 1/2 inch
So, Growth of plant in d days = d * 1/2 = d/2 = 0.5d
Thus, height of the plant, h = 1 + Growth of plant in d days
⇒ h = 1 + 0.5d
Thus, the function that helps Yazmin to see how many days it takes is h = 1 + 0.5d.
To learn more about the function :
https://brainly.in/question/610635
#SPJ2
Express as a trinomial.
(3x+5)(2x+9)
Answer:
[tex]6x^{2} +37x+45[/tex]
Step-by-step explanation:
Hello!
A trinomial is a algebraic expression containing 3 terms
To turn this into a trinomial we have to multiply everything by each other
3x
3x * 2x = 6x^2
3x * 9 = 27x
5
5 * 2x = 10x
5 * 9 = 45
Now we put it all together
6x^2 + 27x + 10x + 45
Combine like terms
6x^2 + 37x + 45
The answer is [tex]6x^{2} +37x+45[/tex]
Hope this helps!
Mukat has five times as many book as usha.If mukat gave 16 books to usha,they each would have the same number.how many books did each girl have?
Mukat gets 40, Usha gets 8
Step-by-step explanation:
Mukat = 5 × Usha
After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)
Then Mukat = final number of books for Usha
5 × Usha - 16 = Usha + 16
(5 × Usha ) - Usha = 16+16
4 × Usha = 32
Usha = 8 i.e her number of books.
Mukat = 5×8=40.
I HOPE IT'S OK
Someone please help me ASAP
Answer:
the percentage share for BBC2 remained almost the same at about 11 % each year
if you look at the chart the BBC2 almost remains stable between 10 and 12 %
1980 ( between 39 and 51)
1985 ( between 37 and 49 ) and so on
( these numbers are not exactly the same , it is about or approximately)
The pepper plant has \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction as many fruits on it as the tomato plant has. The tomato plant has 999 fruits on it.
Answer:
6 pepper fruits
Step-by-step explanation:
Given the following :
Fraction of pepper in terms of tomato = 2/3
Number of fruits on pepper plant = 9
Therefore number of pepper fruits on pepper plant:
2/3 * number of tomato fruits
2/3 * 9
(2 * 3) = 6
6 pepper fruits.
Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...
Answer:
pattern A is going by 3
pattern B is going by 12
Step-by-step explanation:
so you basically just have to add 3 for pattern a and add 12 for pattern B for each number
Figure a is a scale image of figure b. what is the value of x? please answer asap!
Answer:
[tex]\boxed{x = 20}[/tex]
Step-by-step explanation:
Hey there!
Well to find x we need to set up the following.
[tex]\frac{10}{12.5} = \frac{16}{x}[/tex]
Cross multiply
10x = 200
Divide both sides by 10
x = 20
Hope this helps :)
X
5x – 3y = -20
4x + 5y = -2
Answer:
x=-106/37
y=70/37
Step-by-step explanation:
I chose to set up the problem as a matrix to solve here.
(Another way to do this would be to isolate one variable in one of the equations, substitute it into the other equation, solve for that, and then plug it back in to get the final variable.)
My work is in the attachment. Lmk if you have any questions.
Answer:
[tex]\huge\boxed{\left\{\begin{array}{ccc}x=-\dfrac{106}{37}\\y=\dfrac{70}{37}\end{array}\right}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}5x-3y=-20&\text{multiply both sides by 5}\\4x+5y=-2&\text{multiply both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}25x-15y=-100\\12x+15y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad37x=-106\qquad\text{divide both sides by 37}\\.\qquad\boxed{x=-\dfrac{106}{37}}[/tex]
[tex]\text{Substitute it to the first equation}\\\\5\left(-\dfrac{106}{37}\right)-3y=-20\\\\-\dfrac{530}{37}-3y=-20\qquad\text{multiply both sides by (-37)}\\\\(-37\!\!\!\!\!\diagup)\left(-\dfrac{530}{37\!\!\!\!\!\diagup}\right)-(-37)(3y)=(-37)(-20)\\\\530+111y=740\qquad\text{subtract 530 from both sides}\\\\111y=210\qquad\text{divide both sides by 111}\\\\y=\dfrac{210}{111}\\\\y=\dfrac{210:3}{111:3}\\\\\boxed{y=\dfrac{70}{37}}[/tex]
Three people found a $20 bill and decided to split it. How many dollars does each person get? Choose the correct answer from the choices below.
Answer:
$6.67
Step-by-step explanation:
$20/3 people
20/3
=6 2/3
=6.67
Each person gets $6.67.
Hope this helps!
Answer: Hi!
If you split a $20 dollar bill evenly in three parts, each person would get about $6.67 dollars. (If you divide 20 by 3, you get a recurring decimal, so it would round to 6.67.)
Hope this helps!
NEED HELP!!! Please Write the quotient
as a mixed number.
93 divided by 5 = 18 R 3
Answer:
Hey there!
93 ÷ 5 can be written as 93/5.
5 goes into 93, 18 times, so we have [tex]18\frac{3}{5}[/tex]
Let me know if this helps :)
Find the common ratio of the geometric sequence: 3,4,
16/3,...
A.1
B.3/4
C.4/3
D.-1
Answer:
C
Step-by-step explanation:
The common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{3}[/tex] → C
Answer:
C)
Step-by-step explanation:
Geometric Sequence:
3, 4 , [tex]\frac{16}{3}[/tex]......
Common ratio = [tex]\frac{second term}{first term}[/tex]
= [tex]\frac{4}{3}[/tex]
4x-8+9-6x=3x+6 cual es el valor de la x?
Answer:
El valor de x en esta ecuación es -1.
Step-by-step explanation:
4x - 8 + 9 - 6x = 3x + 6
En primer lugar, combinar términos similares en cada lado de la ecuación.
-2x + 1 = 3x + 6
A continuación, resta 3 veces en ambos lados de la ecuación.
-5x + 1 = 6
Ahora, resta 1 de ambos lados de la ecuación.
-5x = 5
Por último, divida por -5 en ambos lados de la ecuación.
x = -1
A business has $25,000 to spend on training sessions for its employees. It wants 45 of its employees to attend. The business wants to send as many employees as it can to a technology training. The technology training costs $1,000 per person. The customer service training costs $500 per person. Create a system of equations that models how many of each type of training the business should purchase. 1,000x + 500y = 45 x + y = 25,000 1,000x + 500y = 25,000 x + y = 45 1,000x + y = 45 x + 500y = 25,000 x + 500y = 45 1,000x + y = 25,000
Answer: [tex]x+y=45\\\\1000 x + 500y = $2500[/tex]
Step-by-step explanation:
Let x = Number of employees taking technology training
y= Number of employees taking customer service training
Given, The technology training costs $1,000 per person. The customer service training costs $500 per person.
Total cost = 1000 x + 500y
Since, Total cost = $25,000 and total employee to attend training= 45 .
That means , the required equations are:
[tex]x+y=45\\\\1000 x + 500y = $2500[/tex]
Answer:
1,000x + 500y = 45
x + y =45
Step-by-step explanation:
So that means answer b is the correct answer, also I took the test.
determine whether or not the function r(x) =x^2-2 is one -to-one
Answer:
The function is not one-to-one
Step-by-step explanation:
This is a quadratic function.
[tex]f(x)=x^2-2[/tex]
A function is one-to-one
[tex]\text{if } f(x_1)=f(x_2) \Leftrightarrow x_1=x_2[/tex]
The function given is not one-to-one because there are values of the input [tex]x[/tex], which leads to the same output.
For example.
[tex]y=f(2)=2^2-2=\boxed{2}[/tex]
[tex]y=f(-2)=(-2)^2-2=\boxed{2}[/tex]
A teacher interested in determining the effect of a new computer program on learning to read conducted a study. One hundred students were randomly assigned to one of tu
groups. The first group used the computer program while the second group did not. Both groups were tested to determine how much their reading levels improved. The results for the two groups were compared. What kind of study is this?
Answer:
This is an experiment because a treatment was applied to a group.
Step-by-step explanation:
There are two groups, The first group used the computer program while the second group did not therefore this is an experiment. An experiment involves changing an independent variable to see how it affects a dependent variable. The dependent variable in this case determining the effect of a new computer program on learning while the independent variables was testing with the computer program and not testing with the program.
Solve for y in the following system of equations: −x+y=0 −2x+y=−5 1. 5 2. 7 3. 6 4. 5
Answer:
y = 5
Step-by-step explanation:
−x+y=0 −2x+y=−5
Multiply the first equation by -2
-2(-x+y=0)
2x-2y =0
Add this to the second equation
2x-2y =0
−2x+y=−5
-------------------
0x -y = -5
-y =-5
Multiply by -1
y = 5
Simplify 2√28 - 3√63. I will give BRAINLIEST!
[tex]2\sqrt{28}-3\sqrt{63}=2\sqrt{4\cdot7}-3\sqrt{9\cdot7}=4\sqrt7-9\sqrt7=-5\sqrt7[/tex]
When simplified completely, the product of a monomial and a binomial is
a trinomial.
Answer:
the answer is ; Never
Hope this answer correct :)
Answer:
the answer is never
Step-by-step explanation:
Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] [tex]Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\][/tex]
There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).
Megan buys condiments in bulk for her restaurant. The company that she orders ketchup from charges $14.78 per gallon for orders less than 8 gallons. For orders of 8 gallons or more, the cost is $11.99 per gallon of ketchup. Which function represents this situation?
side note: f(x)= blank
Answer:
Below
Step-by-step explanation:
● Orders of 8 gallons or more can be modeled as: x》 8
● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x
● For orders that are less than 8, the comapny charges 14.78 per gallon
● => 14.78x for x < 8
So the function that represent the situation is the second one
what is 1.54324 rounded to the nearest tenths equal
Answer:
1.5
Step-by-step explanation:
1.54324
The 5 is in the tenths place
We look at the next digit to determine if we need to round up or we leave it alone
The next digit is a 4. It is under 5 so we leave the 5 alone
1.5
The tenths place is one place to the right of the decimal point.
This means the digit in the rounding place is 5
Since the digit to the right of the rounding
place, 4, is less than 5, round down.
This means that the digit in the rounding place, 5, stays the same and
we change all digits to the right of the rounding place to 0.
So our answer is 1.50000 or 1.5.
