All categories

3 years ago

Find two consecutive even integers such that twice the smaller is 16 more than the larger

2 answers:

6 0

Define x:
Let one of the numbers be x.
The other number is x + 2

Construct equation:
twice the smaller is 16 more than the larger
⇒2x = x + 2 - 16

Solve x:
2x = x + 2 - 16
x = -14

Find the two numbers:
Smaller number = x = -14
Larger number = x + 2 = -12

Answer: The two numbers are -14 and -12

jarptica [38.1K]3 years ago

5 0

Let's make an equation. X will be the smaller number while y is the bigger.
x+2=y; since they're consecutive even numbers. We will use that equation to represent y.
Twice the smaller; 2x
16 more than the larger; 16+x+2
2x=16+x+2; let's add like terms.
2x=18+x
Let's subtract x from both sides.
x=18
If the smaller number is 18, the bigger number is 20.

The two numbers are 18 and 20.

You might be interested in

I need help with letter D

Ivahew [28]

To find 1. all you have to do is 165/30 and you get $5.50. To find 2. you have to add 165+45 you get 210. then divide 210/40 and you get 5.25

4 0

3 years ago

Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

I need help now please

LekaFEV [45]

Answer:

Step-by-step explanation:

A = ½(b1 + b2)h

A = (3 + 5)(3)/2

A = 12

8 0

3 years ago

Read 2 more answers

Jason can read 850 words in 5 minutes. Ashley can read 804 words in 4 minutes. Who reads at a faster pace per minut

Vedmedyk [2.9K]

850/5=170
804/4=201

Ashley can read faster

8 0

3 years ago

68 miles to 42.5 miles

Thepotemich [5.8K]

1) subtract 42.5 miles from 68 miles to find the gross change in distance: It is 25.5. Since this is a decrease, write -25.5 miles.
2) divide -25.5 miles by the original distance, 68 miles:
-0.375
3) multiply this by 100% to find the percentage decrease:
-37.5% (answer)

5 0

4 years ago