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kotykmax [81]
3 years ago
8

melania walked her dog 2 1 /5 miles. cqthy walked her dog 1 3/4 times as far as melania did. how many more miles did cathy walk

her dog
Mathematics
1 answer:
stira [4]3 years ago
7 0
Let’s set this equation up to make this easier.

melanie= 2 1/5 miles walked
cathy= 1 3/4 more times than melanie.

when an equation says the word, more than this means adding. when it says less than this means subtraction. when it says times (in this question) then multiply.

so, if cathy walked 1 3/4 more times than melanie what we would do is multiply 1 3/4 to what melanie was walking. so 2 1/5 times 1 3/4 which equals 3.85.

so overall, cathy walked 3.85 more miles than melanie.
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Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

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