Which of the following is the best estimate in meters for the average width of doorway?

The dimension of the field is shown below.

Area of rectangle =length * width

Area of rectangle =100 m *75 m= 7500 m2

Area of rectangle in hectares =

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.

P- Parenthesis

E-Exponents

D-Divide

M-Multiply

A-Add

S-Subtract

From the given equation start with solving

12 ÷3*4-1+23

Next, carry out division 12÷3=4

4*4-1+23

Multiply is 4*4=16

16-1+23

Add or subtract can be conducted in any order. From left to right, we subtract followed by addition

Subtract 16-1=15

15+23

The last step is to add 15+23

15+23=38

Thus, the answer to the given equation is 38.

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.

C. 3.9 meters

Explanation

To convert centimeters to meters, we divide by 100

1 meter = 100 centimeters.

390 cm÷100

=3.9 meters

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.

Here are the calculations for the gumballs:

• Total Gumballs: 120
• Red Gumballs: 20% of 120 = 24
• Orange Gumballs: 30% of 120 = 36
• Yellow Gumballs: 5% of 120 = 6
• Green Gumballs: 10% of 120 = 12
• Blue Gumballs: 120−(24+36+6+12) =42

Difference

The difference between the number of blue gumballs and yellow gumballs is: 42 − 6=36

Change in weight of client=new -old=1072-841= 231

Percent change=change/old*100%=231/841*100%=27.47%

The percentage change increase is about 27%

In a negatively-correlated variables, a change in one variable result in opposite change in the other variable. In other words, an increase in on variable results in a decrease in the other.

Now let’s analyze the given scenarios:

As elevation increases, temperature decreases is a NEGATIVE CORRELATION

As elevation increases, temperature increases is a POSITIVE CORRELATION

As elevation decreases, temperature remains the same this is NO-CORRELATION

As elevation decreases, temperature decreases is a POSITIVE CORRELATION

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

Let's work step by step to find the original price of the recliner.

Let the original price of the recliner be x.

The recliner is on sale for 30% off the original price. So, the sale price is:

SalePrice = x−0.30x = 0.70x

The consumer has a coupon that saves an additional 25% off the sale price. So, the final price is:

FinalPrice = 0.70x − 0.25(0.70x)

= 0.75(0.70x)

= 0.525x

The consumer paid $237 for the recliner. Therefore, we have the equation:

0.525x = 237

Solving for x:

x =

​≈ 451.43

Rounding to the nearest dollar, the original price is approximately $451,