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3 years ago

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Which of the following ratios is equal to 14 : 21? (2 : 3) (1 : 3) (2 : 5) (1 : 2)

2 answers:

anzhelika [568]3 years ago

4 0

Answer:

(2:3)

Step-by-step explanation:

pashok25 [27]3 years ago

3 0

It’s 2/3 ,because 14/21 in simplest form is 2/3 .

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The ratio of the perimeters of two similar triangles is 4:7. What is the area of each of these triangles if the sum of their are

arsen [322]

Answer:

16 cm^2 and 49 cm^2

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions, so is ...

(4/7)^2 = 16/49

The sum of these "ratio units" is 16 +49 = 65. The sum of triangle areas is 65 cm^2, so each "ratio unit" must stand for 1 cm^2 of area. That is, the triangles must have areas of ...

16 cm^2
49 cm^2

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3 years ago

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Kate is making pizza she put 8 ounces of cheese on each pizza if she has 4 20ounce packages of cheese how many pieces can she ma

dexar [7]

Answer:

60 pizzas

Step-by-step explanation:

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3 years ago

What is the sum of the first 4 terms of a geometric sequence that has a first term of 2 and a ratio (multiplier) of 8?

taurus [48]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ a_1=2\\ r=8\\ n=4 \end{cases} \\\\\\ S_4=2\left( \cfrac{1-8^4}{1-8} \right)\implies S_4=2\left( \cfrac{-4095}{-7} \right) \\\\\\ S_4=2(585)\implies S_4=1170$

6 0

3 years ago

Aria paid $75,000 for her house. Its property value increased by 2.2% per year. When Aria sold her house after eleven years, how

astra-53 [7]

Answer:

When Aria sold her house after eleven years it worth was <u>$95,300</u>.

Step-by-step explanation:

Given:

Aria paid $75,000 for her house. Its property value increased by 2.2% per year.

Now, to find the worth of Aria house when sold after eleven years.

Let the amount of house after eleven years be $x.$

Amount Aria paid for her house (A) = $75,000.

Rate of property increased per year (r) = 2.2%.

Time (t) = 11 years.

Now, to get the amount of house after eleven years we put formula:

$x=A\times (1+\frac{r}{100})^{11}$

$x=75000\times (1+\frac{2.2}{100})^{11}$

$x=75000\times (1+0.022)^{11}$

$x=75000\times (1.022)^{11}$

$x=75000\times 1.2704$

$x=95280.$

<em>The amount of house after eleven years to the nearest hundred dollars is $95,300.</em>

Therefore, when Aria sold her house after eleven years it worth was $95,300.

3 0

3 years ago

Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime numb

hammer [34]

Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

According to the statement

we have given that the Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal.

and we have to find that the expected value of the difference between the number of days.

So, the total number of days in a year is 365 days.

Chance to get a prime number on a die = 3/6

Chance to get a prime number on a die = 1/2.

and chances to get a composite number = 2/6

chances to get a composite number = 1/3

and chances to get a 1 on a die = 1/6.

Then the expected value =

so, expected value = 365(1/6) + 365(1/3) + 365(1/2)

then after calculating

Expected value = 1+2+1

then the value become is 4

and by this way he eat 171 days sweet cereal and other days he eat unsweetened.

So, Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.

Learn more about Expected value here brainly.com/question/15858152

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2 years ago