Which of the following expression represents the sum of three times a number and eight times a different number?

Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, average width of the door way is about 1.0 m.

To find the number of calories from fat per tablespoon, follow these steps:

Calculate the total calories from fat in one serving (2 tablespoons):

87.5%×80=0.875×80=70caloriesfromfat

Determine the calories from fat per tablespoon: Since one serving is 2 tablespoons, divide the total calories from fat by 2:

=35caloriesfromfatpertablespoon

In direct proportion relation we utilize the relationship as:

Variable∝Variable 2

Thus from the given case,

Force∝stretch

We introduce a constant term, K to remove the sign of proportionality as

Force=K* stretch

Let’s find the value of K, using Force=132 N and stretch of 0.07 m

132 N=K*0.07 m

K=132 N/0.07 m=1885.7 N/m

Now substitute this value of K in the following equation

Force=1885.7 N/m * stretch

For a stretch of 0.1 m, the force needed is

Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N

Based on the context, a synonym for "salient" is important, as it refers to points that are prominent or significant in the presentation.

To calculate the number of months it will take to pay off the television, we first subtract the down payment from the total cost of the television:

1,570−400=1,170

Now, we divide the remaining balance by the monthly payment amount:

1,170÷100=11.7

Since the consumer cannot make a fraction of a payment, it will take 12 months to pay off the television.

Let the amount the friend pays be x. Then, 2 times what the friend pays is 2x. Less $2,000 what the friend pays is 2x-2000.

Now we known that

2x-2000=48000

Add 2000 to both sides of the equation

2x-2000+2000=48000+2000

2x+2000-2000=50000

2x=50000

Divide both sides by 2

X=25000

Thus, the friend pays $25,000 for their car.

A 10% discount on the original price of $950 equals $95 (10% of 950 = 95). Subtracting this discount from the original price, $950 - $95, gives a sale price of $855.

To solve this problem, we need to find the mean, mode and median of the above data set.

From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.

Mean of data is total divided by number of elements

Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80

Number of elements=16

Mean=80/16=5

Median will fall in between the (N/2)th and (N/2+1)th position

(N/2)th =16/2 =8th position and (16/2+1)th =9th position

Since the data is arranged in ascending order as below

1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9

Element in 8th position = 3

Element in 9th position =7

So median average of the two elements=(3+7)/2=5

Now the data could be presents as follows in the distribution curve

This is because the data set has two modes, meaning the data is bimodal.

Given the equation

(x/y)-z=rw

Subtract z on both sides of the equation

x/y=rw+z

multiply both sides by y

x=y(rw+z)

Now rearranging the fllowing equation

x=y(z+rw)

Determine the number of blue and yellow gumballs as follows:

Percent of blue gumballs=100%-(20%+30%+5%+10%) =100%-65%=35%

Number of blue gumballs =35% of 120=0.55*120 = 42 blue gumballs [35%=35/100=0.35]

Number of yellow gumballs=5% of 120=0.05*120 = 6 yellow gumballs [5%=5/100=0.05]

Difference between number of blue and yellow gumballs=42-6= 36 balls

Therefore, there are 36 more blue gumballs than yellow gumballs.