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anygoal [31]
3 years ago
11

The sum of two consecutive whole numbers is 57. What is the value of the greater of the two numbers

Mathematics
1 answer:
KIM [24]3 years ago
5 0

n,\ n+1-\text{ two consecutive whole numbers}\\57-\text{the sum}\\\\n+n+1=57\qquad\text{subtract 1 from both sides}\\2n=56\qquad\text{divide both sides by 2}\\n=28\\\\n+1=28+1=29\\\\Answer:\ \boxed{\text{The greater of the two numbers is 29}}

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Wyatt offers 8 types of sandwiches and 4 types of tacos. He will increase his selection of sandwiches by 1 per month. He will in
Klio2033 [76]

Answer:

In 4 months Wyatt offer an equal number of sandwiches and tacos.

Step-by-step explanation:

We are given the following in the question:

Types of sandwiches = 8

Rate of increase of sandwich = 1 per month

Thus, number of sandwiches in x months will be given by

n_1(x) = 8 + x

Types of tacos = 4

Rate of increase of tacos sandwich = 2 per month

Thus, number of tacos in x months will be given by

n_2(x) = 4 + 2x

Equating the two equations, we get,

n_1(x) = n_2(x)\\8 + x = 4 + 2x\\\Rightarrow x = 4

Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.

4 0
3 years ago
During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdow
Karolina [17]

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

x+y=6

x=6-y....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

7x+3y=30 ...(2)

Put the value of x from equation (1) into equation (2).

7( 6-y)+3y=30

42-7y+3y=30

-4y=30-42

-4y=-12

y=3

Put y = 3 in equation 1.

x=6-3

x=3

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

4 0
2 years ago
Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.
arsen [322]
3(4+n)=18+n
distribute
12+3n=18+n
minus n both sides
12+2n=18
minus 12 both sides
2n=6
divide by 2
n=3

the number is 3
equation is
3(4+n)=18+n
6 0
3 years ago
36 − 9m^2 factorized
STatiana [176]

Answer:

Step-by-step explanation:

Note that the expression is the difference of squares.

36 -  9m² = 6² - (3m)²

6² - (3m)² = (6 + 3m) (6 - 3m)

7 0
2 years ago
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Use the graph of f to estimate the local maximum and local minimum. (5 points)
Alex
The one under the one you picked but im not 100% sure
3 0
3 years ago
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