All categories

3 years ago

I'm having a hard time completing Task 2 of d. and e. Please answer them.

Mathematics

1 answer:

My name is Ann [436]3 years ago

8 0

Step-by-step explanation:

In part (d), we are shown how the sum of consecutive integers can be found. The sum is:

S = n (x + y) / 2

where n is the number of integers, x is the first integer, and y is the last integer.

We want to use this formula to find the sum of the numbers 101-110. We know there are 10 numbers between 101 and 110, so n = 10.

S = 10 (101 + 110) / 2

S = 1055

We used deductive reasoning to find the answer.

You might be interested in

How are the linear and nonlinear functions the same.

Maslowich

Answer:

linear functions have no exponents higher than 1

Step-by-step explanation:

3 0

2 years ago

Simplify this expression. (2-5sqrt6)*3sqrt2<br> Please hurry taking a test.

a_sh-v [17]

Answer:

Step-by-step explanation:

7 0

3 years ago

1. Identify your variables using let statements.

Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

x = number of chicken dish and
y = number of lobster dish

<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570 (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570 (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570 (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570 (1)

40(250 - y) + 70y = 13570 (1)

10000 - 40y + 70y = 13570

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

#SPJ1

7 0

2 years ago

Arc MNP equals 126. O is the center. Find angle MOP

Paha777 [63]

We know that

the angle MOP is equal to arc MNP because is a central angle

the answer is
angle MOP=126°

3 0

2 years ago

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card

joja [24]

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

$\dfrac{13}{52}=\dfrac{1}{4}$

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

$\dfrac{12}{51}$

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

$\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}$

7 0

3 years ago