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3 years ago

Please answer and explain I’ll mark brainliest!!!!!

Mathematics

1 answer:

nekit [7.7K]3 years ago

7 0

Answer:

See below

Step-by-step explanation:

Problem 1

If n is the smallest of the consecutive integers, the next integer would be n+1.

Problem 2

The equation is terms of n is going to be

s = n + n + 1 + n + 2 + n+3

Problem 3

Collect like terms on the right

s = 4n + 6

Problem 4

4n + 6 = s Subtract 6 from both sides

4n = s - 6 Divide by 4

n = (s - 6)/4

Problem 5

Solve for n when s = 2174

n = (2174 - 6)/4

n = 2168 / 4

n = 542

check

n = 542

n + 1 = 543

n + 2 = 544

n + 3 <u> = 545</u>

Total 2174 Just as it should

You might be interested in

Which functions have an additive rate of change of 3? Select TWO options

Pachacha [2.7K]

Answer:

Second table.

Step-by-step explanation:

A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.

The additive rate of change is determined using the slope formula,

$m = \frac{y_2-y_1}{x_2-x_1}$

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

$m = \frac{ - 9- - 3}{4-2} = - 3$

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.

The additive rate of change of this table is

$m = \frac{ - 1 - - 4}{3 - 1} = 3$

Therefore the second table has an additive rate of change of 3.

5 0

3 years ago

Read 2 more answers

The large bottle of nasal spray is 9.46 centimeters tall. The small bottle is 5.29 centimeters tall. How much shorter is the sma

posledela

Answer:

4.17 centimeters

Step-by-step explanation:

The large bottle of nasal spray is 9.46 centimeters tall. Assuming that the large bottle of nasal spray has the shape of cylinder, then the height of the cylinder is 9.46 centimeters.

The small bottle is 5.29 centimeters tall. Assuming that the small bottle of nasal spray has the shape of a cylinder too, then the height of the cylinder is 9.46 centimeters.

We want to know how much shorter the smaller bottle is than the big bottle. This is calculated by

Height of big bottle - height of small bottle

= 9.46 centimeters. - 5.29 centimeters

= 4.17 centimeters

5 0

2 years ago

Can anyone help me with this?

Vika [28.1K]

Answer:

x = 51

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Which means that 77 + 107 + 156 + 149 + x = 540

^ ( note that we just created an equation that we can

use to solve for x )

We then solve for x using that equation

77 + 107 + 156 + 149 + x = 540

step 1 combine like terms

77 + 107 + 156 + 149 = 489

we now have 489 + x = 540

step 2 subtract 489 from each side

489 - 489 cancels out

540 - 489 = 51

we're left with x = 51

3 0

2 years ago

eight ears of corn and a cantaloupe cost $2.37. six ears of corn and 3 cantaloupes cost $3.51. what does a cantaloupe cost?

abruzzese [7]

In the given question, there are two vital information's give. Firstly 8 ears of corn and 1 cantaloupe cost $2.37. On the other hand 6 ears of corn and 3 cantaloupes cost $3.51.
Let us assume the cost of 1 corn = X
Let us assume the cost of 1 cantaloupe = Y
Then
8X + Y = 2.37
Y = 2.37 - 8X
And
6X + 3Y = 3.51
Now we replace the value of Y we found from the first equation
Then
6X + 3(2.37 - 8X) = 3.51
6X - 24X + 7.11 = 3.51
-18X = 3.51 - 7.11
-18X = -3.6
X = 3.6/18
   = 0.20
So $0.20 is the value of 1 corn. Then the value of a cantaloupe
Y = 2.37 - 8X
   = 2.37 - (8 * 0.20)
   = 2.37 - 1.6
   = 0.77
So cost of a cantaloupe is $0.77

3 0

3 years ago

A school gymnasium is being remodeled. The basketball court will be similar to an NCAA basketball court, which has a length of 9

valkas [14]

Answer:

Perimeter of NCAA court=288 feet

Perimeter of new court=259.2 feet

Step-by-step explanation:

We are given that

Length of NCAA court, l=94 feet

Width of NCAA court, b=50 feet

Width of new court, b'=45 feet