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VARVARA [1.3K]
3 years ago
14

The sum of 4 consecutive intergers is 50, what is the first interger in this relationship

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

x = 11

Step-by-step explanation:

Consecutive means in a row

Let x be the first integer

x+1 is the second

x+2 is the third

x+3 is the 4th

The sum is 50

x+ x+1 + x+2 + x+3 = 50

Combine like terms

4x+6 = 50

Subtract 6 from each side

4x+6-6 = 50-6

4x = 44

Divide each side by 4

4x/4 = 44/4

x = 11

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Since they have the same denominator (4) which is the number on the bottom of the fraction, you can just add the numerators (3 and 4), which are on the top of the fraction, together:

3/4 + 4/4 = 7/4
5 0
2 years ago
A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trap
Rudik [331]

Answer:

3 miles

Step-by-step explanation:

A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles

Area of a trapezoid = 1/2 (a + b)h

The formula for the height of a trapezoid =

h = 2(A/a + b)

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a = 5 miles

b = 7 miles

h = 2(18/5 + 7)

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4 0
2 years ago
Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4% of the total inter
noname [10]

Given

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Total interest paid was $475

Find out  he invest in each.

To proof

Let us assume that Paul invested  in an account paying 4% be = x

As given in the question

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Let us assume that Paul invested  in an account paying 5% be = 3x

Total interest paid = $475

First convert 4% in the decimal form

=\frac{4}{100}

= 0.04

First convert 5% in the decimal form

=\frac{5}{100}

= 0.05

Than the equation become in the form

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0.04x + 0.15x = 475

0.19x = 475

x = $2500

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Paul invested  in an account paying 5% be = $7500

Hence proved






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Firlakuza [10]

Answer:

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