All categories

2 years ago

One number is six more than twice a second number. If their sum is 120, find the smaller number

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

8 0

Answer: 38

Step-by-step explanation:

Step 1: use variables to replace the two numbers

the second number = x

six more than twice the second number = 2x + 6

Their sum is 120: 3x + 6 = 120

Step 2: solve the equation

3x = 114

x = 114/3 = 38

Step 3: check your answer (optional)

six more than twice 38 = 82

38 + 82 = 120

hope this helps

You might be interested in

Cot? 2x + cos2x + sin’ 2x = csc? 2x<br> Need help with 40

kkurt [141]

Answer:

$\rule{100mm}{0.1mm}$

$\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)$

$\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)$

$\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)$

$\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)$

$\dfrac{1}{sin^2(2x)} =\csc^2(2x)$

$\boxed{\csc^2(2x)=\csc^2(2x)}$ ✔

$\rule{100mm}{0.1mm}$

4 0

3 years ago

2/5 divided by 3 1/10

fiasKO [112]

2/5÷31/10=2/5*10/31=4/31

8 0

3 years ago

What is the equation in slope-intercept form of the line

kari74 [83]

Answer:

-5/2x+3

Step-by-step explanation:

you reciprocate the slope since you are trying to find a line perpendicular.

From this m=2/5 to -5/2

then use the formula y-y1 =m(x-x1)

then you put in the points

y - - 2= -5/2(x- 2)

y+2= -5/2x +5

-2 -2

y= -5/2+ 3

3 0

3 years ago

A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m.,

Volgvan

Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.

Therefore, 6 Hours/900 becomes our quotient

Again, since the denominator is larger we invert it to 900 calls/6 Hours

To get a demand of 150 calls per hour.

We need to be able to handle 150 calls per hour.

So how Many Call Representatives are needed?

Again, our historical data tells us that each person can handle 10 calls an hour.

Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!

Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.

8 0

3 years ago

Select the correct answers.

Alexeev081 [22]

Answer:

Option B is the right choice,congruent to $\angle K$ are $\angle M,\angle E,\angle C$ .

Step-by-step explanation:

If we look on to the diagram and the options we can sort out the angles on the basis of our requirement.

There are three sets arising from the angles.

$\angle K=\angle P$ [Corresponding angles]

The corresponding angles are the ones at the same location at each intersection.

$\angle K=\angle M$ [Vertically opposite angles]

And

$\angle M=\angle P$ [Alternate interior angles]

Now

$\angle R =\angle C =\angle E$ [Corresponding angles]

$\angle C=\angle A$ [Vertically opposite angles]

$\angle G=\angle E$ [Vertically opposite angles]

$\angle K=\angle M=\angle P=\angle R=\angle C=\angle A=\angle E=\angle =\angle G$

So the correct pair from the options given is B which includes $\angle M=\angle E=\angle C$

8 0

3 years ago

Read 2 more answers