. Over the next two days, Clinton Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?

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

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!

[tex]2\sqrt{28}-3\sqrt{63}=2\sqrt{4\cdot7}-3\sqrt{9\cdot7}=4\sqrt7-9\sqrt7=-5\sqrt7[/tex]

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]

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.

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.

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 :)

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!!

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

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 :)

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.

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

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]

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!

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

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]

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)

Answer:

5x(25)

Step-by-step explanation:

Answer:

23/45

Step-by-step explanation:

8668/25 + 4141/9 - 5533/25

= 26348/45

= 585(23/45)

=23/45

There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).

Answer:

the answer is ; Never

Hope this answer correct :)

Answer:

the answer is never

Step-by-step explanation:

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!

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..

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]

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 :)

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]

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.

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

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.

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.

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