# In bowling, you get a spare when you knock down the ten pins in two throws. How many possible ways are there to get a spare?

QUESTION POSTED AT 06/12/2019 - 03:42 PM

QUESTION POSTED AT 06/12/2019 - 03:42 PM

9 ways are possible hope this helped straight and to the point not gonna go and show exactly how just trust me

Let x = the ones digit

Let y = the tens digit

x+2y=12

x=2y

x+y=12 substitute x for 2y to get:

(2y)+y=12 add like terms to get:

3y=12

3y=12 divide both sides by 3 to get:

y=4

x+y=12 substitute y for 4 to get:

x+4=12 subtract 4 from both sides to get:

x=8

so if x=ones

and y=tens

then the answer is 48

Let y = the tens digit

x+2y=12

x=2y

x+y=12 substitute x for 2y to get:

(2y)+y=12 add like terms to get:

3y=12

3y=12 divide both sides by 3 to get:

y=4

x+y=12 substitute y for 4 to get:

x+4=12 subtract 4 from both sides to get:

x=8

so if x=ones

and y=tens

then the answer is 48

ANSWERED AT 28/01/2020 - 12:36 AM

QUESTION POSTED AT 28/01/2020 - 12:36 AM

Monthly cost of cell phone for 0 minutes is $19.95 and for 40 minutes of talk is $21.95. It means that average rate of change ( increase of monthly cost for each minute of talk time ) is: ARC = ( 21.95 - 19.95 ) / ( 40 - 0 ) = 2.00 / 40 = $0.05. Answer: C ) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

ANSWERED AT 27/01/2020 - 12:45 AM

QUESTION POSTED AT 27/01/2020 - 12:45 AM

First one.. |x - 42.80|=12

ANSWERED AT 27/01/2020 - 12:36 AM

QUESTION POSTED AT 27/01/2020 - 12:36 AM

Survival and prejudice are the central themes of the diary of Anne Frank. In the diary, Anne is going through her adolescent life. The life of the Jewish people outside Germany was also described in the diary. Discrimination was also evident since Anne and her sister were only allowed to study in Jewish schools.

ANSWERED AT 27/01/2020 - 12:32 AM

QUESTION POSTED AT 27/01/2020 - 12:32 AM

**Answer: **$1,208.28

**Step-by-step explanation:**

**Formula we use here :-**

Simple interest :

Compound amount :

Compound amount(Compounded quarterly):-

where P is the principal amount , r is the rate of interest( in decimal) and t is the time.

**1) $4,000 in an account earning 3.2% simple interest**

Simple interest :

**2) $4,000 in a savings account earning 2.1% interest compounded annually**

Compound Amount :-

Compound interest :

**3) $7,500 in a certificate of deposit earning 5% interest compounded quarterly**

Compound Amount :-

Compound interest :

**Now, the total interest :**

**Hence, the total interest will sergio earn on his investments at the end of 4 years** = $1,208.28

ANSWERED AT 26/01/2020 - 11:32 PM

QUESTION POSTED AT 26/01/2020 - 11:32 PM

75.0309 is the answer

ANSWERED AT 26/01/2020 - 11:31 PM

QUESTION POSTED AT 26/01/2020 - 11:31 PM

Use this chart, every way it can add up to ten: i.e. 5,5 6,4...

ANSWERED AT 26/01/2020 - 11:05 PM

QUESTION POSTED AT 26/01/2020 - 11:05 PM

T = tens, h = hundreds

t + h = 26...t = 26 - h

10t + 100h = 1610

10(26 - h) + 100h = 1610

260 - 10h + 100h = 1610

-10h + 100h = 1610 - 260

90h = 1350

h = 1350/90

h = 15

t + h = 26

t + 15 = 26

t = 26 - 15

t = 11

so there is 11 tens and 15 hundreds

t + h = 26...t = 26 - h

10t + 100h = 1610

10(26 - h) + 100h = 1610

260 - 10h + 100h = 1610

-10h + 100h = 1610 - 260

90h = 1350

h = 1350/90

h = 15

t + h = 26

t + 15 = 26

t = 26 - 15

t = 11

so there is 11 tens and 15 hundreds

ANSWERED AT 26/01/2020 - 10:39 PM

QUESTION POSTED AT 26/01/2020 - 10:39 PM

Let the tens be x.

Therefore the hundreds will be (26 - x).

Since they both total to 26. x + (26 - x) = 26

10*x + 100*(26 - x) = 1610

10x + 2600 - 100x = 1610

10x - 100x = 1610 - 2600

-90x = -990

x = -990/-90

x = 11.

So the 10s are x =11, the 100s are (26 -11) = 15

11 tens bills and 15 hundred bills.

Therefore the hundreds will be (26 - x).

Since they both total to 26. x + (26 - x) = 26

10*x + 100*(26 - x) = 1610

10x + 2600 - 100x = 1610

10x - 100x = 1610 - 2600

-90x = -990

x = -990/-90

x = 11.

So the 10s are x =11, the 100s are (26 -11) = 15

11 tens bills and 15 hundred bills.

ANSWERED AT 26/01/2020 - 10:39 PM

QUESTION POSTED AT 26/01/2020 - 10:39 PM

Tens in 5463 = 5463/10 = 546.3

Tens in 3746 = 3746/10 = 374.6

Many more?

546.3 - 374.6 = 171.7

171.7 more.

Tens in 3746 = 3746/10 = 374.6

Many more?

546.3 - 374.6 = 171.7

171.7 more.

ANSWERED AT 26/01/2020 - 10:38 PM

QUESTION POSTED AT 26/01/2020 - 10:38 PM

Hi the equation for the telepathic theory should be an intruiging volume in which the substitute on the temperates has an impact on physics which causes and explosion

ANSWERED AT 26/01/2020 - 10:31 PM

QUESTION POSTED AT 26/01/2020 - 10:31 PM

The teacher can call up any of the 4 students, so that is 4 possible ways.

The teacher can call up any of the remaining 3 students, so that is 3 possible ways.

The teacher can call up any of the remaining 2 students, so that is 2 possible ways.

The teacher can call up the remaining 1 student, so that is 1 possible way.

Total = 4*3*2*1 = 24

= 24 different ways.

The teacher can call up any of the remaining 3 students, so that is 3 possible ways.

The teacher can call up any of the remaining 2 students, so that is 2 possible ways.

The teacher can call up the remaining 1 student, so that is 1 possible way.

Total = 4*3*2*1 = 24

= 24 different ways.

ANSWERED AT 26/01/2020 - 10:30 PM

QUESTION POSTED AT 26/01/2020 - 10:30 PM

300 tens = 3000

3000/100 = 30

check...

300(10) = 30(100)

3000 = 3000 (correct)

so ur answer is : 30

3000/100 = 30

check...

300(10) = 30(100)

3000 = 3000 (correct)

so ur answer is : 30

ANSWERED AT 26/01/2020 - 10:25 PM

QUESTION POSTED AT 26/01/2020 - 10:25 PM

C = charter schools, A = alternative schools

C = 46

C = 2A - 10

46 = 2A - 10

46 + 10 = 2A

56 = 2A

56/2 = A

28 = A

C = 46

C = 2A - 10

46 = 2A - 10

46 + 10 = 2A

56 = 2A

56/2 = A

28 = A

ANSWERED AT 26/01/2020 - 10:23 PM

QUESTION POSTED AT 26/01/2020 - 10:23 PM

That claim doesn't contain any numerical evidence.

ANSWERED AT 26/01/2020 - 10:21 PM

QUESTION POSTED AT 26/01/2020 - 10:21 PM

The equation for the line of best fit can be obtained as follows, using the least square method (for more info visit http://hotmath.com/hotmath_help/topics/line-of-best-fit.html ):

mean of X = 1/6

mean of Y = 2/3

slope, m = 704/1121 = 0.6

Computing the y-intercept using the formula:

b = mean of Y - m (mean of X) = 2/3 - (704/1121)(1/6)

b = 0.562 = 0.6

Therefore, the equation of the line of best fit, given the standard relation:

y = mx + b

y = 0.6x + 0.6

mean of X = 1/6

mean of Y = 2/3

slope, m = 704/1121 = 0.6

Computing the y-intercept using the formula:

b = mean of Y - m (mean of X) = 2/3 - (704/1121)(1/6)

b = 0.562 = 0.6

Therefore, the equation of the line of best fit, given the standard relation:

y = mx + b

y = 0.6x + 0.6

ANSWERED AT 26/01/2020 - 12:28 AM

QUESTION POSTED AT 26/01/2020 - 12:28 AM

There are 12 marbles in total in the bowl.

From this bowl, we will choose 4 marbles at random.

That's 12C4 or (12*11*10*9) or 11,880 ways

Out of this, what is the probability that there is exactly 1 blue marble.

There are 5 blue balls but only 1 is selected, 5C1 ways

The rest except blue calls are 7, but only 3 slots are left, 7C3 ways

The probably of exactly 1 blue of 4 marbles is then 5C1*7C3/12C4 = 1050/11,880 = 0.0884 or 8.84%

From this bowl, we will choose 4 marbles at random.

That's 12C4 or (12*11*10*9) or 11,880 ways

Out of this, what is the probability that there is exactly 1 blue marble.

There are 5 blue balls but only 1 is selected, 5C1 ways

The rest except blue calls are 7, but only 3 slots are left, 7C3 ways

The probably of exactly 1 blue of 4 marbles is then 5C1*7C3/12C4 = 1050/11,880 = 0.0884 or 8.84%

ANSWERED AT 26/01/2020 - 12:27 AM

QUESTION POSTED AT 26/01/2020 - 12:27 AM

Let y = the tens digit

x+2y=12

x=2y

x+y=12 substitute x for 2y to get:

(2y)+y=12 add like terms to get:

3y=12

3y=12 divide both sides by 3 to get:

y=4

x+y=12 substitute y for 4 to get:

x+4=12 subtract 4 from both sides to get:

x=8

so if x=ones

and y=tens

then the answer is 48

ANSWERED AT 26/01/2020 - 12:27 AM

QUESTION POSTED AT 26/01/2020 - 12:27 AM

Because the actual dimensions of the board and the target are missing, let us supply the missing values.

Let:

radius of board = 6 inches

radius of target = 2 inches

Area of board = pi * r^2 = pi*6^2 = 36pi

Area of target = pi * r^2 = pi*2^2 = 4pi

Probability of hitting the target = 4pi / 36pi = 1/9

Therefore, there is a 1/9 chance of hitting the target on the board.

Let:

radius of board = 6 inches

radius of target = 2 inches

Area of board = pi * r^2 = pi*6^2 = 36pi

Area of target = pi * r^2 = pi*2^2 = 4pi

Probability of hitting the target = 4pi / 36pi = 1/9

Therefore, there is a 1/9 chance of hitting the target on the board.

ANSWERED AT 25/01/2020 - 08:27 PM

QUESTION POSTED AT 25/01/2020 - 08:27 PM

Hello,

multiple of 9 betheen 50 and 99 are :54,63,72,81,99

and 54,72 are even.

5-4=1 and not 5

7-2=5 ok

72 is the number searched.

multiple of 9 betheen 50 and 99 are :54,63,72,81,99

and 54,72 are even.

5-4=1 and not 5

7-2=5 ok

72 is the number searched.

ANSWERED AT 25/01/2020 - 08:20 PM

QUESTION POSTED AT 25/01/2020 - 08:20 PM

The most likely color to be grabbed is the white ones because there are more

ANSWERED AT 25/01/2020 - 08:11 PM

QUESTION POSTED AT 25/01/2020 - 08:11 PM

Since there are 10 runners in all:

For the first position there 10 possibilities.

For the second position there are 9 possibilities, after the 1st has been taken.

For the third position there are 8 possibilities, after 1st and 2nd have already been taken.

Total = 10 * 9 * 8 = 720

So there are 720 ways.

I hope this helps.

For the first position there 10 possibilities.

For the second position there are 9 possibilities, after the 1st has been taken.

For the third position there are 8 possibilities, after 1st and 2nd have already been taken.

Total = 10 * 9 * 8 = 720

So there are 720 ways.

I hope this helps.

ANSWERED AT 25/01/2020 - 03:52 PM

QUESTION POSTED AT 25/01/2020 - 03:52 PM

Working it completely in my head, I come up with 2,880 unique ways. I'll check it when I get back to a computer with an actual keyboard, and also explain my reasoning if anybody's interested.

ANSWERED AT 25/01/2020 - 03:51 PM

QUESTION POSTED AT 25/01/2020 - 03:51 PM

A) The probability that there are no boys in the car is given by:

ANSWERED AT 25/01/2020 - 03:47 PM

QUESTION POSTED AT 25/01/2020 - 03:47 PM

You can always make up numbers and try to draw it.

Let's say a = 1 for sake of simplicity.

If y=0 then x=0

If y=1 then x=1

If y=-1 then x=1

If y=2 then x=4

If y=-2 then x=4

As you can see, parabola opens to the right. Try drawing it to make sure you believe that.

Keep in mind, parabola only opens to the right if you are using the conventional x-y plane, where x-axis is horizontal and y-axis is vertical.

Let's say a = 1 for sake of simplicity.

If y=0 then x=0

If y=1 then x=1

If y=-1 then x=1

If y=2 then x=4

If y=-2 then x=4

As you can see, parabola opens to the right. Try drawing it to make sure you believe that.

Keep in mind, parabola only opens to the right if you are using the conventional x-y plane, where x-axis is horizontal and y-axis is vertical.

ANSWERED AT 25/01/2020 - 02:48 PM

QUESTION POSTED AT 25/01/2020 - 02:48 PM

you pay x for ten laps an you pay y for every additional lap you just multiply y by seven an add x

so all an all your answer would be (B)

ANSWERED AT 24/01/2020 - 10:53 PM

QUESTION POSTED AT 24/01/2020 - 10:53 PM

The order of selection does not matter. Therefore we need the number of combinations of the 6 hats taken 4 at a time.

ANSWERED AT 24/01/2020 - 06:06 PM

QUESTION POSTED AT 24/01/2020 - 06:06 PM

In the question "Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?"
The probability of an event, say A given another event, say B is given by n(A and B) / n(B).
Thus the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day is given by number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day / number of persons that consume 2,000 to 2,500 calories per day.
From the table, the number of persons that weigh 120 pounds and consume 2,000 to 2,500 calories per day is 10 while the number of persons that consume 2,000 to 2,500 calories per day is 110.
Therefore, the required probability is 10 / 110 = 1 / 11

ANSWERED AT 24/01/2020 - 05:57 PM

QUESTION POSTED AT 24/01/2020 - 05:57 PM

The answer is 1320 different ways.

220 ways for toppings times 6 cheeses = 1320.

220 ways for toppings times 6 cheeses = 1320.

ANSWERED AT 24/01/2020 - 05:54 PM

QUESTION POSTED AT 24/01/2020 - 05:54 PM

One way to determine the factors of :

**x³ + 5x² - 6x - 30 = x² ( x + 5 ) - 6 ( x + 5 )**

If equation ax³ + bx² + cx + d = 0 has roots x₁ , x₂ , and x₃ then

Let us now tackle the problem!

To factor the equation given can be done in the following way

→ group it into two parts

→ factorize both parts

- Solving Quadratic Equations by Factoring : brainly.com/question/12182022
- Determine the Discriminant : brainly.com/question/4600943
- Formula of Quadratic Equations : brainly.com/question/3776858

**Grade: **High School

**Subject: **Mathematics

**Chapter: **Polynomial

**Keywords: **Quadratic , Equation , Discriminant , Real , Number , Polynomial , Factors

ANSWERED AT 24/01/2020 - 05:53 PM

QUESTION POSTED AT 24/01/2020 - 05:53 PM