Solve the inequality. Q No. 1

-2(x - 5) < -x + 3

Answer:

There are 1,890 seats in the hall

Step-by-step explanation:

The number of seats in the first row = 20 seats

The number of rows in the hall = 35 rows

The number of additional seat per row = 2 Seat

Therefore, the sequence of seats in the hall is an arithmetic sequence with the first term, a = 25, the common difference, d = 2, and the number of terms, n = 35

The formula for finding the sum of n-terms of an arithmetic progression, Sₙ is given as follows;

Sₙ = n/2 × [2·a + (n  - 1)·d]

Plugging in the values, we get;

Sₙ = 35/2 × [2 × 25 + (35  - 1)×2] = 1890 seats

Therefore, there are 1,890 seats in the hall.

Answer:

a rate

Step-by-step explanation:

I looked it up :P

Answer:

9

Step-by-step explanation:

let us suppose that

(-4,-6) is (x1,y1)

and (5, -6) is (x2,y2)

we know that

distance between two points = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\[/tex]

                                                 [tex]=\sqrt{(5-(-4))^{2} + (-6-(-6))^{2} } \\= \sqrt{9^{2}+0 } \\= 9 units[/tex]

Answer:

$133

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given expression:

     The ratio equivalent to 8:58

  let us first reduce this ratio to the simplest term:

      Divide by 2;

           4 : 29

A. 16: 10

   Reduce to the simplest term by dividing by 2;

      4 : 5

B . 50:80

    Reduce to the simplest term by dividing by 10;

      5 : 8

C. 48 : 30

   Reduce to the simplest term by dividing by 6:

       8 : 5

D.   32 : 20

    Divide through by 4;

      8 : 5

E. 64 : 35

   Cannot be further simplified

Answer:

The equation for this is 15÷n+1

Step-by-step explanation:

Hope this helps!

Answer:

The Answer would be The first ab

Step-by-step explanation:

Answer:

5x=9 and that is the answer

Answer:

3x²- 1

Step-by-step explanation:

f(-3) when f(x) = -x²+1

(-x²+1) × -3

3x²- 1

Answer:

x= 4+y and the next answer is y= -4x+1

Step-by-step explanation:

First one solve for x and the other one I solved for y

Answer:

y = 2x + 15

Step-by-step explanation:

Let y represent the total amount paid by the teachers.

It is provided that the Dairy Queen charges a one time fee of $15 to deliver the treats to the school and each cone cost $2.

Let x represent the number of cones bought.

Then the equation that can be used to find the total cost of ice cream cones for ERHS students is:

y = 2x + 15

Answer:

The plane have traveled 1512.9 m from the time took off

Step-by-step explanation:

Acceleration [tex]a = 20m/s^2[/tex]

Initial speed = u = 0

Final speed = v = 246 m/s

Time = t = 93

We are supposed to find how far would the plane have traveled from the time took off

We will use equation of motion

[tex]v^2=u^2+2as\\(246)^2=2\times 20 \times s\\\frac{(246)^2}{2 \times 20}=s\\1512.9 m=s[/tex]

Hence The plane have traveled 1512.9 m from the time took off

Answer:A- direct variation function

Step-by-step explanation:

h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.

So,  h(x) = [x] + 4 is in direct variation.

learn more about direct variation here :

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Answer:

the lower limit of first class interval is 15.because ina class intervel the 1st no.is called lower limit so 15.

The answer is 5 because you can fit 365 into 15 24 times and then that would equal 360 and then you have 5 left over.

15x24=360             365

                              -  360

                                 ____

                                   5

Answer:

C

Step-by-step explanation:

10 can go into 365 10 times leaving 5 left over.

Answer:

4,1

Step-by-step explanation: Due to the segment only needing a length of 4 units, if you add 4 units to your y, it will get you y=1

Answer: 9x + 45 = 9x + 45 Infinitely many

Step-by-step explanation: Use distributive property for the left and add like terms for the right

Answer:

9,45,9,45 and infinite

Step-by-step explanation:

ngl im probably wrong but i tried

Answer:

5 oranges in 12 minutes

Step-by-step explanation:

[tex]125 \div 5 = 25[/tex]

[tex]25 \div 60 = 0.41[/tex]

[tex]0.41 \times 12 = 5[/tex]

what i did here was I took the original amount (125), divided it by 5 which is 25 oranges per hour

1 hr = 60 mins

then I divided 25 oranges by 60 mins, then times it by 12 to get 5 around 5 oranges in 12 minutes.

Answer:

[tex]\boxed {\tt 5 \ oranges}[/tex]

Step-by-step explanation:

Let's set up a proportion.

[tex]\frac{oranges}{minutes} =\frac{oranges}{minutes}[/tex]

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.

There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

[tex]\frac{125 \ oranges}{300 \ minutes}=\frac{oranges}{minutes}[/tex]

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.

[tex]\frac{125 \ oranges}{300 \ minutes}=\frac{x \ oranges}{12 \ minutes}[/tex]

[tex]\frac{125 \ }{300 \ }=\frac{x \ }{12 }[/tex]

Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.

[tex]12*\frac{125 \ }{300 \ }=\frac{x \ }{12 \ }*12[/tex]

[tex]12*\frac{125 \ }{300 \ }=x[/tex]

[tex]12*0.416666667=x[/tex]

[tex]5=x[/tex]

Rob can peel 5 oranges in 12 minutes.

Answer:

I think the answer is A

hope this helps :3

sorry if im wrong

Answer:

5/9

Step-by-step explanation:

All you have to do is simplify the ratio or multiply it by something.  

Hope this helps!

Answer:

Step-by-step explanation:

first solve for y (or x) I chose y.  

-11 + 9y = -12

(-11) - (-12) =  1

9y = 1

9/1 = 1

y=1, now for x.

-11x + 9 = -12

-12 - 9 = -21

-11x = -21

-21/-11 = -32

x = -32.

Answer:

yes

Step-by-step explanation:

Since there is one value of y for every value of x, this relation is a function.

The relation is a function.

Answer:

x

12

Step-by-step explanation:

hope it helps

Answer:

x=7, SU=63, TU=63, SU=126

Step-by-step explanation:

The mid point of SU is T meaning, ST=TU

we find value of x as 7.

replace x by 7 and find the value of given lines.

Answer: Mari earns 320 and jen earns 160

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².

The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.

The velocity time graph given in the problem can be used to find the distance travelled.

The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.

This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.

Now, the total area is given as,

1/2 × b × h + l × b

= 1/2 × 4 × 8 + 8 × 10

= 16 + 80

= 96

(b) The acceleration is given as the rate change of velocity with respect to time.

The acceleration in first 4 seconds is given as,

a = (8 - 0)/4

   = 2

Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.

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Answer:

5

Step-by-step explanation:

this is in slope intercept form or y=mx+b

m represents slope and m is 5

Answer: [tex]m = 5[/tex]

The slope of the line in this equation is 5.

y = mx + b

the m multiplied with x is the slope.

Answer:solve for y

y -1/2x ≥ 4

y ≥ 1/2x + 4

The y intercept is 4, and the slope is positive, so the only graph with that conditions is B.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Monopolistic Competition is a type of imperfect competition such that many producers sell products that are differentiated from one another and hence are not perfect substitutes. Therefore B. would be correct since Monopolistic Competition is Many sellers with a featured product that's differentiated to the buyer.

Answer:

hi my name is ais

Step-by-step explanation:

1624#I don't care