Two friends get frozen yoghurt. The rate the topping is 4:3. If one of the friends has 4.5 oz of topping in their bowl, which of the following is the amount of yoghurt in their dessert?

Rounded to the nearest dollar, the original price of the recliner is approximately $451.

To find the area of the largest circle that fits in the rectangle, we need to determine the area of a circle with a diameter of 8 cm or less to fit on the rectangle with the given measurements as illustrated below.

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Area of circle= πr2

Radius of circle, r=8cm/2=4cm

Then, area of the largest circle is:

Area of circle= π*4 cm *4 cm =16π cm2

To find the circumference of the flower bed (which is a circle), you use the formula π×diameter\pi \times \text{diameter}π×diameter. With a diameter of 5 feet and using π≈3.14\pi \approx. 3.14π≈3.14, the calculation is 3.14×5=15.73.14 \times 5 = 15.73.14×5=15.7 feet, which is the required length of the barrier.

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

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

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)

Yoghurt : toppings=4:3

Yoghurt: 4.5 oz =4:3

We convert the given ratio into a proportion equation as below

Multiply both sides by 4.5 oz

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.

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

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,