All categories

3 years ago

7. Find two consecutive even integers such that twice the smaller is

Mathematics

1 answer:

Arturiano [62]3 years ago

7 0

Answer:

Step-by-step explanation:

The difference between two consecutive even integers is 2

and even integer is always twice some integer

So:

2x ← smaller of numbers

2x+2 ← larger of numbers

2×2x ← twice the smaller of numbers

3(2x+2) ← three times the larger

3(2x+2)-26 ← 26 less than 3 times the larger

twice the smaller is 26 less than 3 times the larger:

3(2x+2) - 26 = 2×2x

6x + 6 - 26 = 4x

+20 +20

6x - 4x = 20

2x = 20

2x+2 = 20 + 2 = 22

Check: 2×20=40; 40+26 = 66; 66÷3=22

You might be interested in

Find [-4/5]×3/7×15/16×[-14/9]

dangina [55]

The given expression is $\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})$ .

We need to simplify the given expression.

<h3>What is a rational number?</h3>

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers $(\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))$

$=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))$

$=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))$

$=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}$

Therefore, the simplified value of the given expression is $\frac{1}{2}$ .

To learn more about the rational numbers visit:

brainly.com/question/17450097.

#SPJ1

8 0

2 years ago

You decide to go to a star gazing event there are 12 people in the group

hoa [83]

Answer:

whts the question??

Step-by-step explanation:

8 0

3 years ago

What is -4x+y=6 and -5x-y=21 in subsitution

kifflom [539]

Solve for y in the first equation.
y = 4x + 6
Substitute <span>4x + 6 into the second equation.
-5x - (</span><span>4x + 6) = 21
Distribute
-5x - 4x - 6 = 21
Combine like terms
-9x = 27
Divide both sides by -9
x = -3
Substitute back into first equation
-4(-3) + y = 6
Solve for y
y = -6</span>

8 0

4 years ago

Find the measure of the angle.

Finger [1]

Answer:

the awnser should be. 165

5 0

3 years ago

Read 2 more answers

If f(x)=x/2-3and g(x)=4x^2+x-4, find (f+g)(x)

Sergeeva-Olga [200]

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2-3 + 4x²+x+4

= ..........

4 0

3 years ago