.Room 1 and Room 2 have 58 students in total. 4 students are transferred from Room 1 to Room 2. Now the two rooms have the same number of students. How many students were there in each room before the transfer?

Answer: 30,000

Step-by-step explanation:

1. The monthly payment for a $3,200 five-year loan with an APR of 9% is $63.

2. The monthly payment is $1,587.

3. The total amount of the monthly payments is $191.

a.  From the table, we can see that the monthly payment per $1,000 principal for a five-year loan with a 9% APR is $19.57.

Since the loan amount is $3,200, we can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $19.57 x (3,200 / 1,000)

= $62.624

= $63.

b. From the table, we can find that the monthly payment per $1,000 principal for a four-year loan with a 7.25% APR is $24.06.

We can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $24.06 x (66,000 / 1,000)

= $1,586.76

= $1,587.

c.  From the table, we can find that the monthly payment per $1,000 principal for a two-year loan with an 8.75% APR is $31.34.

We can calculate the total amount of monthly payments by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:

= $31.34 x (6,100 / 1,000)

= $191.234

= $191.

Learn more about Monthly Payment here:

https://brainly.com/question/26192602

#SPJ2

Answer:

AB - secant

DB - diameter

AB - chord

OB - radius

BC - tangent

(In the order they are in the picture)

Step-by-step explanation:

AB - The line goes through the circle and does not go through the center. This fits  the definition of a secant, so line AB is a secant.

DB - Segment DB goes through the center and has endpoints on the circle. This fits the definition of a diameter, so DB is a diameter.

AB - Segment AB has endpoints on the circle and does not go through the center. This fits the definition of a chord, so segment AB is a chord.

OB - Segment OB is basically from the center to a point on the circle. This fits the definition of a radius, so segment OB is a radius.

BC - Line BC intersects the circle in only one point and does not go through it. This fits the definition of a tangent, so line BC is a tangent.

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Ali's age = x

Given that, Omar is 6 years younger than Ali

So, Omar's age = [tex]\large\bold{x - 6}[/tex]

✐ Omar's age in terms of 'x' is x - 6 years.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

A. Independent

Step-by-step explanation:

Answer:

x+6 and x+7

Step-by-step explanation:

Given the quadratic equation;

x^2 + 13x + 42

Factorize

x^2+13x+42 = 0

x^2 + 7x + 6x + 42 = 0

x(x+7)+6(x+7) = 0

(x+6)(x+7) =0

Hence the required binomials are x+6 and x+7

Answer:

[tex]Find~x:-[/tex]

[tex]4x-37=49[/tex]

[tex]4x=49+37[/tex]

[tex]x=21.5[/tex]

[tex]Find ~y:-[/tex]

[tex]y/5=4x-3[/tex]

[tex]y=5(4*21.5-3)[/tex]

[tex]y=415[/tex]

which type of data is best displayed in a histogram?

-----------------

C) The daily number of movie tickets sold in January.

Explanation:

Divide the adjacent side UQ = 28 over the hypotenuse QE = 53 to form the cosine of Q. The adjacent side is the side closest to the reference angle. The hypotenuse is always opposite the right angle.

The fraction 28/53 cannot be reduced further since 28 and 53 have no factors in common other than 1.

Answer:

28/53

Step-by-step explanation:

To find the value of cos(Q), you need to divide the adjacent, 28, and the hypotenuse, 53. Dividing them results to 28/53, and simplified is, I don't think you can simplify that. This answer might not be totally correct.

Just remember in the future,

And you can use this link for help

https://www.mathsisfun.com/sine-cosine-tangent.html

Answer:

After

days and after

days.

By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.

This will happen for the values of x such that:

y = -x^2 +35x + 100 = y = -5x+275

There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.

We can write the equation as:

-x^2 +35x + 100 = -5x+275

If we simplify this, we get:

-x^2 + 35x + 100 + 5x - 275 = 0

-x^2 + 40x - 175 = 0

This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:

[tex]x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}[/tex]

So the two solutions are:

x = (-40 + 30)/-2 = 5

x = (-40 - 30)/-2 = 35

So, the attendance will be the same after 5 days and after 35 days.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Answer:

26

Step-by-step explanation:

1:112=113

x:2912=y

Divide 2912 and 112

2912/112=26

1 × 26 = 26

Answer:

40 pieces of wood

Step-by-step explanation:

Find how many pieces he cut by dividing 10 by 1/4

10 / (1/4)

= 40

So, Dan cut 40 pieces of wood

Answer:

[tex]Number\ is\ \frac{3}{4}[/tex]

Step-by-step explanation:

Let the number be x

Subtract 1/2 from x = (x - 1/2)

Multiply 1/2 to the result = 1/2(x - 1/2)

The result is 1/8

That is,

            [tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]

Answer:

x = 15

Step-by-step explanation:

[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]

[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]

[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]

x = 15

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Answer:

Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

Step-by-step explanation:

Following the steps taken :

4x - 2y = 4 - - - (1)

3x + 3y = 21 - - - (2)

Multiply (1) by 3 and (2) by 2

12x - 6y = 12 - - - (3)

6x + 6y = 42 - - - (4)

Add (3) and (4)

18x = 54

x = 54/18

x = 3

Put x = 3 in (1)

4(3) - 2y = 4

12 - 2y = 4

-2y = 4 - 12

-2y = - 8 (this is where the mistake lies)

It shouldn't be 2y = - 8 as stated

Answer:

The other dude is right.

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

Answer:

13 and 14

Step-by-step explanation:

Method I - use calculator to find the square root

√193 = 13.892443989449805

Two closest integers

13 and 14

Method II - figure the squares closest to 193

13² = 169

14² = 196

Answer:

125.00

Step-by-step explanation:

Answer:

sen α  =  - 4/5

cos α  =  - 3/5

Step-by-step explanation:

tang α  = 4/3

De la relación fundamental de la trigonometría sabemos:

sen² α   +  cos²α  = 1

Dividiendo la ecuación anterior por cos² α

sen²α/cos²α   +  cos²α / cos²α   =  1 / cos² α

tang²α  +  1   = 1/ cos² α

(4/3)²  +  1  =  1/ cos² α    ⇒    16/9   +  1  = 1/ cos² α

1/ cos² α    =  ( 16  +  9  ) / 9

1/ cos² α    =   25/9

cos² α   = 9/25

cos α    =  3/5

y para calcular el sen α  

sen² α   =  1  - cos²α

sen² α   =  1  - 9/25

sen² α   =  ( 25  -  9 )/ 25

sen² α   =  16/25

sen α  = 4 / 5

Ahora bien el angulo α  está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.

Respuesta:

sen α  =  - 4/5

cos α  =  - 3/5

Answer:

3.2 days

Step-by-step explanation:

All you have to do is divide 8 by 2.5

8 ÷ 2.5 = 3.2

Answer:

0.07

Step-by-step explanation:

To round a decimal to the nearest hundredth, look at the thousandths place.

If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.

If it is smaller than 5, we will keep the number the same.

In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.

The hundredths place value is 0.06, so we will round it up to 0.07.

So, 0.065 will round to 0.07.

Answer:

The answer is 9.

Step-by-step explanation:

Answer:

Sales tax=3.00, total paid=47.79

Step-by-step explanation:

37.50 x .08=3.00 sales tax

37.50+3.00=40.50 amount with sales tax added

40.50 x .18=7.29 amount of tip

40.50 + 7.29=47.79 total with tip and sales tax

The sum of the 3 inside angles equal 180

To find the missing angle subtract the 2 known angles from 180.

R = 180 - 114 - 32 = 34

R = 34 degrees

Answer:

It should be D.

Answer:

Smaller #: 19

Larger #: 70

Step-by-step explanation:

Step 1:

We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.

Step 2:

We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:

[tex]4x=51+x+6\\3x=57\\x=19[/tex]

If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .

I hope this helps! Let me know if you have any questions :)

Answer:

false

Step-by-step explanation:

the graph shows that 2 pounds of coffee would be about $4

Answer:

false.

Step-by-step explanation:

because if you look 1 pounds is 2 dollars