A leather recliner is on sale for 30% less than its original price. A consumer has a coupon that saves an additional of 25% off of the sale price. If the consumer pays $237 for the recliner, which of the following is the original price of the recliner to the nearest dollar?

To find a solution to this, we need to find the change in spending between the year 2013 and 2015 for each country. Change is difference in amount spent in 2015 and 2013 for each country:

Sudan=$(24-17)= $7

Eritrea=$(42-56)= - $14

Nigeria = $(21-16)= $5

Tanzania =$(81-68) = $13

Rwanda = $(24-27) =-$3

Kenya = $(88-81) = $8

A Minus sign means a decrease in spending. From the above calculations, Eritrea had the GREATEST change in dollars spent while Rwanda had the LEAST change in dollars spent.

A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:

People who play baseball more tend to have more hits is POSITIVE CORRELATION

Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION

Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION

Cars that are older tend to have higher mileage is a POSITIVE CORRELATION

In this case, we are measuring average weight of the babies with time. The weight of the babies will vary with time, meaning when we vary time, the average weight of the babies will be different. Here, time is independent while average weight is dependent variable.

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 know 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.

The percent equivalent of a fraction is obtained by multiplying the by frication by 100%.

Convert 5 ¼ into improper faction as follows

So, the percent equivalent is:

Hire purchase cost=down payment + total monthly installment

Total monthly payment=hire purchase cost-down payment= $(1570-400)=$ 1170

Number of months=total monthly payment/monthly payment=$1170/$100=11.7 months

The consumer will clear the balance in 12 months.

We determine least common denominator (LCD) using prime factorization of denominators as follows

2=1*2

3=1*3

5=1*5

Thus, LCD of 2, 3, 5 = 2*3*5=30

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

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

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem. (or use BODMAS)

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.