What's the length of the diameter of the ferris wheel?

9 x 27 + 2 x 31 - 28 = n

Fiesta28 [93]

9×27+2×31-28= 7,567
n=7,567

5 0

3 years ago

Amanda used 45 ounces of sugar to make 75 cupcakes. How many ounces of sugar will be used to make 255 cupcakes?

SVETLANKA909090 [29]

153oz.

Explanation:

First divide 75 by 45 to get 1⅔. This is the ratio of sugar to cupkakes.

Next take 255 and divide by 1⅔ and you get 153 oz of sugar.

Hope this helps!

7 0

3 years ago

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The volume of a rectangular prism is 3 25/36 cubic units, and the base area of the prism is 3 1/6 square units. The height of th

Svet_ta [14]

Answer:

The height of the prism is $1\frac{1}{6}$ units ⇒ answer a

The number of blocks needed is 133 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- The volume of a rectangular prism is

→ V = Area of the base × its height

- The volume of the rectangular prism is $3\frac{25}{36}$ units³

- The area of its base is $3\frac{1}{6}$ units²

- Substitute the values of the volume and area of the base in the rule

∴ $3\frac{25}{36}=3\frac{1}{6}*h$

- Divide the two sides by $3\frac{1}{6}$

∴ $h=\frac{7}{6}=1\frac{1}{6}$ units

* The height of the prism is $1\frac{1}{6}$ units

- The volume of each cubic block is $\frac{1}{36}$ units³

- The number of blocks = volume of the prism ÷ volume of the block

∵ The volume of the prism is $3\frac{25}{36}$ units³

∵ The volume of each block is $\frac{1}{36}$ units³

∴ The number of blocks = $3\frac{25}{36}$ ÷ $\frac{1}{36}=133$

∴ The number of blocks = 133

* The number of blocks needed is 133

6 0

3 years ago

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Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates

cupoosta [38]

Answer:

The Annual rate of interest for the mortgage is 1.8%

Step-by-step explanation:

Given as :

The mortgage principal = p = $167,000

The time period of mortgage = t = 20 years

The Amount paid towards mortgage in 20 years = A = $240,141

Let the Annual percentage rate on interest = r % compounded annually

Now, <u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, $240,141 = $167,000 × $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

or, $\dfrac{240,141}{167,000}$ = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or , 1.437 = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or, $(1.437)^{\frac{1}{20}}$ = $(1+\dfrac{r}{100})$

or, 1.018 = $(1+\dfrac{r}{100})$

Or, $\dfrac{r}{100}$ = 1.018 - 1

Or, $\dfrac{r}{100}$ = 0.018

∴ r = 0.018 × 100

i.e r = 1.8

So, The rate of interest applied = r = 1.8 %

Hence, The Annual rate of interest for the mortgage is 1.8% Answer

8 0

3 years ago

What is this number in expanded form?

rodikova [14]

Answer:

100,000 + 30,000 + 900 + 80 + 7

(Brainliest please! :D)

5 0

3 years ago

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