The sum of 5 consecutive odd integers is 285. Findthe 5 integers.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

Answer:

They are 53, 55, 57, 59 and 61.

Step-by-step explanation:

We can write the integers as x, x+2, x+4, x+6 and x+8, so

x + x + 2 + x + 4 + x + 6 + x + 8 = 285

5x + 20 = 285

5x = 265

x = 53.

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Solution -9-8(1+4h)= -17

geniusboy [140]

Step 1. Add 9 to both sides

 $-8(1+4h)=-17+9$

Step 2. Simplify $-17+9$ to $-8$

$-8(1+4h)=-8$

Step 3. Divide both sides by $-8$

$1+4h=1$

Step 4. Cancel 1 on both sides

$4h=0$
Step 5. Divide both sides by 4

$h=0$

Done! :) Hope this helps! :)

To check $-9-8(1+4h)=-17$ follow these steps below:

Step 1. Let h = 0

$-9-8*(1+4*0)=-17$

Step 2. Simplify 4 * 0 to 0

$-9-8*(1+0)=-17$

Step 3. Simplify 1 + 0 to 1

$-9-8*1=-17$

Step 4. Simplify 8 * 1 to 8

$-9-8=-17$

Step 5. Simplify -9 -8 to -17

 $-17=-17$

Done! :)

5 0

3 years ago

Read 2 more answers

A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, option (1) is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$