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3 years ago

11

describe a ratio in words about the coins that compares the whole coin collection to one part of it then write the ratio in at l

east two different ways

2 answers:

Veronika [31]3 years ago

6 0

Answer:

1 Quarter is one fourth of Dollar.

And, 1 Dime is one tenth of Dollar.

Number of Coins in Ben's Bag=15 coins

Number of Quarters=7

So, number of Dimes

=15-7=8

Total amount in Dollars

$=\frac{1}{4}\times7+\frac{1}{10}\times8\\\\=\frac{7}{4}+\frac{8}{10}\\\\=1.75+0.80\\\\=2.55$ $

In Words=Ratio of $2.55 to 7 Quarters that is $1.75 will be ?

Ratio in two different ways

$\rightarrow \frac{2.55\text{Dollars}}{1.75\text{Dollars}}=\frac{51}{35}=\frac{102}{70}$

Ksivusya [100]3 years ago

5 0

There are two parts in the given collection. One contains quarters and other contains dimes.

Let's compare the whole coin collection to the quarters.

One way to represent the ratio is 15 : 7.

The other way is $\frac{15}{7}$

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Gekata [30.6K]

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4 years ago

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Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y < 12 8x -3y &g

liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

$10x + 4y < 12$

$8x - 3y > 20$

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

$10x + 4y < 12$

$10 * 3 + 4 * -8 < 12$

$30 - 32 < 12$

$-2 < 12$ --- True

$8x - 3y > 20$

$8 * 3 - 3 * -8> 20$

$24 +24> 20$

$48> 20$ --- True

(2, 5)

x = 2 and y = 5

$10x + 4y < 12$

$10 * 2 + 4 * 5 < 12$

$20 + 20 < 12$

$40 < 12$ --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

$10x + 4y < 12$

$10 * -5 + 4 * 1 < 12$

$-46 < 12$ --- True

$8x - 3y > 20$

$8 * -5 - 3 * 1 > 20$

$-43 > 20$ --- False

(10, 3)

x = 10 and y = 3

$10x + 4y < 12$

$10 * 10 + 4 * 3 < 12$

$112 < 12$ --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

$10x + 4y < 12$

$10 * 2 + 4 * -10 < 12$

$-20 < 12$ --- True

$8x - 3y > 20$

$8 * 2 - 3 * -10 > 20$

$46 > 20$ --- True

Hence, the solution to the inequalities are:

(3, -8) and (2, -10)

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3 years ago

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aleksley [76]

The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.

75^2-18^2=a^2

75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.

the square root of 5301 is 72.8079666, rounding to 72.8.

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motikmotik

Answer:

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Step-by-step explanation:

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3 years ago

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A company deposits $25,000 in a bank account that earns interest. The value of the account can be represented as 25,000e^0.0198t

nasty-shy [4]

Answer:

k = 1.2

Step-by-step explanation:

Solving for t when the account value is 30,000, we have ...

30,000 = 25,000e^(0.0198t)

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ln(1.2) = 0.0198t

t = ln(1.2)/0.0198

Matching this with the form ...

t = ln(k)/0.0198

we see that k = 1.2.

_____

k is the multiplier of account value in time period t.

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