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devlian [24]
3 years ago
14

The ratio of dogs to cats in the neighborhood was 3 to 7. If a total of 210 dogs and cats were in the neighborhood, how many cat

s were there? Complete the statement by providing the correct response in number form.
Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

147 cats

Step-by-step explanation

There are 3 dogs/ 7 cats

3x + 7x = 210

10x = 210

210 ÷ 10 = 21

Therefore,

x = 21.

dogs would be 3x (3 x 21) = 63

cats would be 7x (7 x 21) = 147

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Manuel deposited $150 in his savings account on january 1. on the first day of each following month, he deposited an additional
posledela

Answer:

8 months

Step-by-step explanation:

Subtract $150 from $430 to get $280, the amount if money that Manuel has to earn to reach his goal.

If he is adding $35 to his account each month, then all you have to do is divide the amount you need by the amount you are earning each month to get the number of months until you reach your goal.

$280 divided by $35 is 8, so it would take 8 months for Manuel to reach his goal.

5 0
2 years ago
It is known that 1.4< square root of 2 <1.5. Find all possible values of the expression 2-square root of 2. How do I find
horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

4 0
2 years ago
Convert the angle 117 radians to degrees.
Simora [160]

Answer:

21060°

Step-by-step explanation:

117x180°

=21060°

4 0
2 years ago
What is the solution of the equation m - 8 = -14?
Alinara [238K]

\large\bf\blue{ \diamond} \rm  \: \: m \:  -  \: 8 \:  =  \:  - 14 \\  \\ \large\bf\blue{ \diamond} \rm \:  \: m \:  =  \:  - 14 \:  +  \: 8 \\  \\ \large\bf\blue{ \diamond} \rm \:  \: m \:  =  \:  - 6

6 0
2 years ago
Read 2 more answers
Val walks 2 3/5 miles each day. Bill runs 10 miles once every 4 days. In 4 days, who covers the greater distance?
stepan [7]
Val does because he covers 10.4 miles. Hope that helps.
8 0
3 years ago
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