All categories

3 years ago

-1.6x - 3.2y=-24 2.6x + 2.6y = 26 The solution is (

Mathematics

1 answer:

kiruha [24]3 years ago

3 0

Answer:

$x=5\\y=5$

Step-by-step explanation:

I solved using substitution

−1.6x−3.2y=−24

−1.6x=−24+3.2y

−1.6x=3.2y−24

$x=-\frac{3.2y-24}{1.6\\}$

2.6x+2.6y=26

−2.6y+39=26

−2.6y=26−39

−2.6y=−13

y =5

You might be interested in

Question 2 (1 point) What is the value of x if AABC is equilateral?

Marina86 [1]

Answer:

x= 2

Step-by-step explanation:

Given that,

AB = 7.5x

BC = 6x+3

AC = 10x-5

ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,

AC = BC = AB

10x-5 = 6x+3

Taking like terms together

10x-6x = 5+3

4x = 8

x = 2

Hence, the value of x is equal to 2.

3 0

3 years ago

When evaluating, what will be the exponent of 10 in the quotient? 3 4 8 16

qaws [65]

In this case it would be 8

3 0

3 years ago

Read 2 more answers

The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will the pop

galben [10]

Answer:

The population of the town in 2020 will approx. be 12,039.

Step-by-step explanation:

The initial population in the year 2017 = 10,400

Increase in population every yea r = 5%

Now, 5% of 10, 400 = $\frac{5}{100} \times 10, 400 = 520$

Hence, the population in the year 2018 = 10,400 + 520 = 10,920

Now, in the year 2019

5% of 10, 920 = $\frac{5}{100} \times 10, 920 = 546$

Hence, the population in the year 2019 = 10,920 + 546 = 11,466

Now, in the year 2020

5% of 11,466 = $\frac{5}{100} \times 11,466 = 573.3$

or, the population in the year 2020 = 11,466 + 573.3 = 12,039.3

The population of the town in 2020 will approx. be 12,039.

6 0

3 years ago

A number is divisible by ______ if the last two digits form a number divisible by four

icang [17]

Answer:

B. 4

Step-by-step explanation:

Whole numbers are divisible by 4 if the number formed by the last two individual digits is evenly divisible by 4.

7 0

3 years ago

Read 2 more answers

Three numbers are in an arithmetic progression with a common difference of 6. if 4 is subtracted from the first number, 1 is sub

UkoKoshka [18]

Answer:

either of {-9.5, -3.5, 2.5} or {7, 13, 19}

Step-by-step explanation:

Let x represent the first number of the arithmetic sequence. Then the second number is x+6, and the third number is x+12. The geometric sequence is then ...

(x -4), (x +5), 3(x+9)

The common ratio is then ...

(x +5)/(x -4) = 3(x +9)/(x +5)

Cross-multiplying gives ...

(x +5)² = 3(x -4)(x +9)

x² +10x +25 = 3x² +15x -108 . . . . eliminate parentheses

0 = 2x² +5x -133 . . . . . . . . . . . . . . subtract the left side

0 = (2x +19)(x -7) . . . . . . . . . . . . . . factor

x = -9.5 . . or . . 7

The possible original three numbers are ...

{-9.5, -3.5, 2.5} . . or . . {7, 13, 19}

8 0

3 years ago