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taurus [48]
3 years ago
15

In Corpus Christi, Texas, 4 dolphins ate 28 pounds of fish in one day. At this rate how many pounds of fish could 18 dolphins ea

t in one day.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:126 pounds

Step-by-step explanation:

The ratio from dolphins to pound of fish in one day is 1:7

So you have to multiply the ratio on both sides by 18

So you will get 18:126

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The sum of one and the product of a number and two is thirteen
Zigmanuir [339]

Answer:

2x + 1=13

Step-by-step explanation:

the product of a number and 2 (2x)

sum of 1 (+1)

is 13 (=13)

6 0
3 years ago
Is -1 a rational number.
nata0808 [166]

Answer:

Yes it is a rational number

Step-by-step explanation:

Rational numbers include positive, negative numbers and 0 that can be ritten as ratio.

4 0
3 years ago
Read 2 more answers
A patrolman spends 25% every day completing paperwork. The patrolman’s shift each day is 8 hours. How much of his time does he s
fredd [130]
Assuming the man works 8 hours straight without breaks:

25% is the same as 1/4 of something.

So, we just have to figure out what 1/4 (one quarter) of 8 equals.

You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.

If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.

Now, 25% (one quarter) of the pizza will equal half of what is left:

If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).

That's it! 25% of 8 hours = 2 hours.

***So, the patrolman spends 2 hours each day completing paperwork.***

Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).

So

25% + 25% + 25% + 25% = 100%

If 100% of the mans shift = 8 hours:

2+2+2+2 = 8

It checks out!


Hope this helps!



4 0
4 years ago
Solve the equation, keeping the value for x as an improper fraction. 23x = − 12x + 5 1.Isolate the variable by adding 12x to bot
kogti [31]

Answer:

x=\frac{30}{7}

Step-by-step explanation:

We have been given an equation \frac{2}{3}x=-\frac{1}{2}x+5. We are asked to solve our given equation.

First of all, we will add \frac{1}{2}x on both sides of equation to separate x variable on one side of equation.

\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5

\frac{2}{3}x+\frac{1}{2}x=5

Now, we will make a common denominator.

\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5

\frac{4}{6}x+\frac{3}{6}x=5

Add numerators:

\frac{4+3}{6}x=5

\frac{7}{6}x=5

Upon multiply both sides of our equation by \frac{6}{7}, we will get:

\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}

x=\frac{5*6}{7}

x=\frac{30}{7}

Therefore, the solution for our given equation is x=\frac{30}{7}.

5 0
3 years ago
Read 2 more answers
15 x sin(30)=?/15 x 15
Delicious77 [7]

Answer:

The exact value of

sin

(

30

)

sin(30) is

1

2

12.

15

⋅

1

2

15⋅12

Combine

15

15 and

1

2

12.

15

2

152

The result can be shown in multiple forms.

Exact Form:

15

2

152

Decimal Form:

7.5

7.5

Mixed Number Form:

7

1

2

712

Step-by-step explanation:

8 0
3 years ago
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