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True [87]
3 years ago
11

I think one of them is x-100.

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0
The second answer.
You have the first prize, x.
Then you have the second prize, which is x - 50.
Then you have the third prize, which is x - 50 -50, or x - 100.
So the total money is:
x + (x-50) + (x-100).
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Bethany wrote the equation X+ (x+2)+(+4)= 91 when she was told that the sum of three consecutive odd integers had a
azamat

Answer:

Option A) Bethany is correct because consecutive odd integers will each have a difference of two

Step-by-step explanation:

The sum of 3 consecutive odd integers is 91. Let the first odd integer is x. The next odd integer will be obtained by adding 2 in x i.e. (x + 2). The third odd integer will be obtained by adding 2 in the second odd integer i.e. (x + 2) + 2 = x + 4

So, the 3 odd integers will be:

x  , (x+2) and (x+4)

Their sum is given to be 91. So we can write:

x + (x+2) + (x+4) = 91

Hence, we can conclude that: Bethany is correct because consecutive odd integers will each have a difference of two.

Other options are not correct because consecutive odd integers always increase by 2. For example, the next odd integer after 1 is 3, which is obtained by adding two, similarly the next odd will be 5 and so on.

5 0
3 years ago
Read 2 more answers
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),
Anna007 [38]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

8 0
3 years ago
Read 2 more answers
Tim has 2/3 cup of chocolate syrup. If he uses 1/9 cup of chocolate syrup for each serving of chocolate milk, how many servings
zimovet [89]

Answer:

6 servings

Step-by-step explanation:

Each serving Tim uses 1/9 cup. So, after using the amount of syrup reduces and repeated subtraction is division.

\frac{2}{3} ÷ \frac{1}{9}

=\dfrac{2}{3}*\dfrac{9}{1}

= 2 *3

= 6

3 0
2 years ago
Anna wants to spend less than $60 for the subscription. Which inequality could be used to determine the number of months (x) tha
BartSMP [9]

Answer:

xy < 60

Where x is the amount of subscription per month and y is the number of months

Step-by-step explanation:

Given Anna wants to spend less than $60 for the subscription

Let the amount of subscription per month be x

Let the number of months which Anna can enjoy her music be y

The total amount of money spent by Anna on subscription = ( The amount of subscription per month )( Number of months )

Total amount = xy

Given total amount < 60

So xy < 60

Therefore the above is the inequality recquired.

6 0
3 years ago
Ella’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean te
const2013 [10]
Ella must make a 93 to create a classroom mean test score of 90


8 0
3 years ago
Read 2 more answers
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