There are 1030 books in the library we bought 67 more books for the library how many books are there in the library now?

Answer:

[tex]5(x + 10)(10x - 3)[/tex]

Step-by-step explanation:

We are factoring

[tex]50x^{2} + 485x - 150[/tex]

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

[tex]5(x + 10)(10x - 3)[/tex]

Answer:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

Step-by-step explanation:

we would like to factor out the following expression:

[tex] \displaystyle {50x}^{2} + 485x - 150[/tex]

notice that, in every term there's a common factor of 5 thus factor it out:

[tex] \displaystyle 5( {10x}^{2} + 97x - 30)[/tex]

now we have to rewrite the middle term as sum or substraction of two different terms in that case 100x-3x can be considered:

[tex] \displaystyle 5( {10x}^{2} + 100 - 3x - 30)[/tex]

factor out 10x:

[tex] \displaystyle 5( 10({x}^{2} + 10)- 3x - 30)[/tex]

factor out -3:

[tex] \displaystyle \rm 5( 10x({x}^{} + 10)- 3(x + 10))[/tex]

group:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

and we are done!

hence,

our answer is B)

Answer:

pizzeria1

Step-by-step explanation:

Given data

pizzeria1

Diameter=16in

Radius= 16/2= 8in

Area= πr^2

Area= 3.132*8^2

Area= 201.09 in^2

pizzeria2

Diameter=15in

Radius= 15/2= 7.5in

Area= πr^2

Area= 3.132*7.5^2

Area= 176.74n^2

Answer:

9 + 8 = 17

for instance, look at the numbers below 13, (7 and 4) notice how when you add those together you get the number that is across from it?

(7+4=11)

Answer:

I don't know how to explain but I think it is 17

Step-by-step explanation:

If you can see the opposite side of the number, so lets say 8 on the outer. In the middle is 7 and 9, 7 and 9 makes 16 and if you do the rest of the circle you will get 17.

Hopefully is correct!

Answer:

orangeeeeeee

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.

Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.

If there are 459 bags, and each box can hold 12, how many boxes will be full?  Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.

38 boxes will be full, with 3 remainder bags.

Answer:

-4/5

Step-by-step explanation:

Answer:

im not sure

Step-by-step explanation:

I remember doing this but i forget

Answer:

See graph

Step-by-step explanation:

Answer:

45m²

Step-by-step explanation:

=> Area = base × height

=> A = 5m × 9m

=> A = 45m²

Answer:

a) 0.9125

b) 0.756

c) 0.314

Step-by-step explanation:

The save percentage of Goalie A = 0.92

The save percentage of Goalie B = 0.89

The percentage of the games Goalie A plays = 75 percent

The percentage of the games Goalie B plays = 25 percent

a) The probability that a save has been made by either Goalie A or Goalie B

Therefore we get;

The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69

The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225

For mutually exclusive events, we have;

P(A) or P(B)  = P(A) + P(B)

∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125

The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125

b) Where there are 10,000 attempts, made evenly in all games, we have;

The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500

The number of saves Goalie A makes = 0.92 × 7,500 = 6,900

The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000

The number of saves for 10,000 attempt = 9,125

∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756

c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;

P(Goal B) = 2,500 - 2,500 × 0.89 = 275

The number of goals let in by Goalie A, we have;

P(Goal A) = 7,500 - 7,500 × 0.92 = 600

Therefore, the total number of goals let in = 300 + 275 = 875

The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.

Answer:

Number one is 48 ft and number two is 92 in.

Answer: 13.5

Step-by-step explanation:

54/4 = 13.5

13.5 x 4 = 54

Answer:

The value of b will be squared

Step-by-step explanation:

Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

You will see that the only squared coefficient is b.

Answer:

a) 18.85 or 19

b) 84.82 or 85

Answer:

73.12m²

Step-by-step explanation:

Okay, you can break this figure into a half-circle and a triangle, we're going to start with the triangle (using the handy formula sheet you have up there)

12 x 8 = 96

96 x ½ = 48

Now we do the semicircle (the formula for a circle is pi x radius² )

the radius is half of the diameter so:

8 ÷ 2 = 4

4² = 16

we're using 3.14 for pi so:

3.14 x 16 = 50.24

Now we'd normally stop there, but this is only a semicircle, so we have to chop it in half again:

50.24 ÷ 2 = 25.12

Now we add both of those together:

48 + 25.12 = 73.12‬

So the area of the figure is 73.12m²

hope this helps:)

Answer:

-15

Step-by-step explanation:

Answer:

-15 hdbdudbdjsbakznzbzjzbzbz

Answer:

y = -51

Step-by-step explanation:

Apply the - (-a) = a rule.

y + 10 = -41

Subtract 10 from both sides

y + 10 = -41

  -10     -10

y = -51

Answer:

$600

Step-by-step explanation:

I = prt

I = 10000 x .06

I = 600

Answer:

$600

Step-by-step explanation:

$10,000 x 0.06 = $600

Answer: it’s the number that stays the same

Step-by-step explanation: ex. y = 24(6x)

Answer:

Start at origin (0,0)

Move 1/2 units left

Move 1 and 1/2 units down

Place your point

Step-by-step explanation:

Start at the origin (0,0)

Move 1/2 units to the left

Then move 1 1/2 units down, and place your point.

The first coordinate is locating the position horizontally, or on the x axis

The second coordinate is locating the position vertically, or on the y axis.

If there is a negative number on the x coordinate, the first one, you move left.

If positive, you move right.

If there is a negative number on the y coordinate, the second one, you move down.

If positive, you move up.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

move toward left of the horizontal x axis then plot the point in between o and -1.For next point then move down the vertical y axis and plot the point in between -1 and -2 .

Step-by-step explanation:

Hope this helps u!!

Answer:

4445.18 pulgadas cúbicas

Step-by-step explanation:

Paso 1

La fórmula para la circunferencia de una esfera = 2πr

Circunferencia de una esfera = 64 pulgadas

Por eso,

64 = 2πr

Por lo tanto, encontramos r

Dividir ambos lados por 2π

64 / 2π = 2πr / 2π

r = 10.185916358 pulgadas

Radio r = 10.2 pulgadas

Paso 2

Volumen de una esfera

= 4/3 × π × r³

r = 10.2 pulgadas

Por lo tanto, 4/3 × π × (10.2) ³

= 4445.18 pulgadas cúbicas

Por lo tanto, el volumen en pulgadas cúbicas de una esfera = 4445.18 pulgadas cúbicas

Answer:

Step-by-step explanation:

The third option is correct

Answer:

2 cups of water

Step-by-step explanation:

Meliah wants to make a gallon of punch.

Note that

1 gallons = 16 cups

For Orange juice

She uses 2 quarts of orange juice,

1 quart = 4 cups

2 quarts = x

Cross Mulitiply

2 × 4 cups = 8 cups

For lemon juice

1 cup of lemon juice

For pineapple juice

2 1/2 pints of pineapple juice.

1 pint = 2 cups

2 1/2 pints = x

Cross Mulitiply

2 1/2 × 2 cups = 5 cups

Total number of cups

= 8 cups orange juice + 1 cup lemon juice + 5 cups of pineapple juice

= 14 cups

Hence, the number of cups of water she should add to make 1 gallon is calculated as:

16 cups - 14 cups

= 2 cups of water

Answer:

y = 2x - 3.

Step-by-step explanation:

26, The slope is 2 and y-intercept is -3

Answer:

Step-by-step explanation:

Answer:

unlikely

Step-by-step explanation:

11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely

Answer:

30

Step-by-step explanation:

C(n) = 5n, 0 ≤ n ≤10       You would use this formula because 6 is greater than 0 but less than 10.

C(n) = 5n, 0 ≤ n ≤10  ←   You can just ignore the 0≤ n ≤10 part.

C(6) = 5(6)                       Input the value 6 as x.

C(6) = 30

The answer is that 6 shirts costs 30 dollars.

Answer:

34

Step-by-step explanation:

Answer:  A≈153.94

A= π r 2  = π 7 2 ≈ 153.93804

Step-by-step explanation: