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2 years ago

4. Three consecutive even integers are such that the sum of the smallest and 3 times the

Mathematics

1 answer:

Leto [7]2 years ago

4 0

Answer:

Integers are:

14, 16, 18

Step-by-step explanation:

Let three consecutive even integers be:

x (smallest)

x + 2 (second)

x + 4 (third)

According to given conditions:

x + 3(x + 2) = 30+ 2(x + 4)

By simplifying:

x + 3x + 6 = 30 + 2x + 4

By adding like terms

4x + 6 = 34 + 2x

Now taking terms with x on left side and constants on right

4x - 2x = 34 - 6 (sign of transferred terms will be changed)

2x = 28

Dividing both sides with 2

x = 28/2

x = 14

So the consecutive integers will be:

x = 14

x + 2 = 14 + 2= 16

x + 4 = 14 + 4 = 18

I hope it will help you!

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I = $97.30 P = $1,200 R=4.5% T=

frosja888 [35]

Answer:

T = 1yrs and 8month

Step-by-step explanation:

S.I = $97.3O

S.I = PTR/100

$97.30 = $1200 × 4.5 × T

1 100

Cross multiply

$5400T = $9730

divide both sides by$5400

T = 1.8yrs

8 0

2 years ago

PLEAASE HALLP EXPLAIN!! NEED HEEELP 14 POINTS

erastova [34]

AWNSER: B or 54

Hope this helps and Happy Friday!

6 0

2 years ago

Please help me I have to turn in by 8:00

Diano4ka-milaya [45]

Answer:

A 2

Step-by-step explanation:

When we divide x by 9 there is some whole number we will call y plus a remainder of 4

x/9 = y remainder 4

Writing this in fraction form

x/9 = y + 4/9

Multiplying each side by 9

9*x/9 = 9* y + 4/9 *9

x = 9y +4

Multiply each side by 2

2x = 2*(9y+4)

2x = 18y +8

Add 3 to each side

2x+3 = 18y +8+3

2x+3 = 18y +11

Divide each side by 9

(2x+3)/9 = 18y/9 +11/9

= 2y + 9/9 +2/9

=(2y+1 + 2/9)

We know y is a whole number and 1 is a whole number so we can ignore 2y +1 when looking for a remainder)

2/9 is a fraction

Taking this back from fraction form to remainder from

(2y+1) remainder 2

7 0

3 years ago

Help please<3

ale4655 [162]

Y=-3/2x+4

The slope is -3/2, since Kerry traveled three feet and only went down 2.

The y intercept is 4, since she started four feet above the origin

3 0

3 years ago

ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?

MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = $\sqrt{(x_2-x_1)^2 +( y_2-y_1)^2$

Step 1: Finding the length of EF

By using distance formula,

$EF = \sqrt{(-7 - 0)^2 + (4-0)^2}$

$EF = \sqrt{(49) + (16)}$

$EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\$

Step 2: Finding the length of FG

By using distance formula,

$FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}$

Step 2: Finding the length of GE

$GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8$

Thus we could see that the sides EF = FG

So it is a isosceles triangle.

6 0

3 years ago