Ask question

Ask question

All categories

2 years ago

11

The sum of 2 numbers is 44 the smaller number is 16 less than the larger number what are the numbers

1 answer:

Anon25 [30]2 years ago

4 0

X=27 and y=11
if you let each number equal x and y we know the sum is 38 so x+y=38
and the smaller is 16 less than the larger
. so if we say the smaller number is 7 then x-16=y
these can be solved as a simultaneous equation. x+(x-16)=38
2x-16=38
2x=54
x=27
(27)-16=y
y=11
so the answer is x=27 y=11

You might be interested in

This is the two that go together, but are separate questions

ira [324]

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

===================================================

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

$\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}$

If we multiply both sides of the second equation by -2, we get this updated system

$\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}$

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

5 0

2 years ago

There are 200 employees in your company. Fifty of them do not have company insurance what percentage of the employees do not hav

const2013 [10]

25% of the workers don't have company health insurance

6 0

2 years ago

Read 2 more answers

John needs to divide the sample in half once the number of bacteria has reached 1000. How many hours after the initial time must

Reil [10]

Answer:

Option A

Step-by-step explanation:

The complete question is attached here

The rate of increase of bacterial population be K

As we know

$Y = Y_0 * e^{kT}$

where Y is the final population. In this case it is 1000

K is the rate of increase of population i.e 3 times per hour

T is the time in hours

Y0 is the initial population = 5

Substituting the given values, we get -

$1000 = 5 *e^{3*T}\\200 = e^{3*T}$

Taking log on both sides, we get -

ln $200$ = ln $e^{3T}$

$2.718 * 2.301 = 3T$

T = 2.084 hours

hence, option A is correct

8 0

2 years ago

Contestants in a dance a thon rest for the same amount of time evry hour.A couple rest for 25 mins in 5 hours. How long did they

Shalnov [3]

Same amount of time every hour is constant rate.
25 min / 5 hrs = 5 min per hour

8 hrs × 5 min per hr = 40 min rest

3 0

2 years ago

The smiths want to fence their square garden, which has an area 256 square meters.

diamong [38]

The answer s=16 answer 48

6 0

2 years ago