All categories

3 years ago

The sum of five consecutive positive integers is 2020. Find the largest of these numbers.

Mathematics

1 answer:

lawyer [7]3 years ago

8 0

Answer:

406

Step-by-step explanation:

Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)

x + (x+1) + (x+2) + (x+3) + (x+4) = 2020

5x + 10 = 2020

5x = 2020-10

5x = 2010

x = 2010÷5

x = 402

The largest of the number is = x+4

x+4 = 402 + 4 = 406

You might be interested in

The basic absolute value function f(x)=|x| translated by 4 units and vertically stretched by a factor of 5 to form m(x). Write a

VARVARA [1.3K]

M(x) = 5(f(x))+4

.............

6 0

3 years ago

(1-w-w²)⁶=64 prove thta

VLD [36.1K]

1−w−w2=64

Step 1: Simplify both sides of the equation.

−w2−w+1=64

Step 2: Subtract 64 from both sides.

−w2−w+1−64=64−64

−w2−w−63=0

For this equation: a=-1, b=-1, c=-63

−1w2+−1w+−63=0

Step 3: Use quadratic formula with a=-1, b=-1, c=-63.

w= −b±√b2−4ac /2a

w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)

w= 1±√−251/ −2

7 0

2 years ago

I need help please.

Fed [463]

Step-by-step explanation:

$(3x + 10) + (5x + 18) = 180 \\ 8x + 28 = 180 \\ 8x = 152 \\ x = \frac{152}{8} \\ x = 19$

7 0

3 years ago

What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{5} " alt=" \frac{3}

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

3/5 * 15

Rewriting as

3 * 15/5

3 * 3

3 0

3 years ago

Read 2 more answers

The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes Kate ran a mile in 10.87 minutes how many

igor_vitrenko [27]

Complete Question

The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?

a. 1.37 minutes

b. 1.27 minutes

c. 2.27 minutes

d. 1.27 seconds

Answer:

1.27 minutes

Step-by-step explanation:

Emmett ran a mile in 9.73 minutes

Kate ran a mile in 10.87 minutes

Rubin ran a mile in 8.46 minutes.

How many more minutes did Emmett run than Robin?

This is calculated as:

Number of minutes Emmett ran - Number of minutes Rubin ran

= 9.73 minute - 8.46 minutes

= 1.27 minutes

Option b is correct

5 0

3 years ago