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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.

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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3. Which graph best represents the solution to the following system? (1 point)<br> (5x – 2y <10

Step2247 [10]

Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

5x - 2y < (less than or equal to) 10

x + y < 5

we have

$5x-2y\leq 10$ ----> inequality A

isolate the variable y

Adds 2y both sides

$5x \leq 10+2y$

Subtract 10 both sides

$5x-10 \leq 2y$

Divide by 2 both sides

$2.5x-5 \leq y$

Rewrite

$y \geq 2.5x-5$

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is $y=2.5x-5$

The slope of the solid line is positive $m=2.5$

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

$x+y < 5$ -----> inequality B

Isolate the variable y

Subtract x both sides

$y < -x+5$

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is $y=-x+5$

The slope of the dashed line is negative $m=-1$

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

The solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

7 0

3 years ago

Greatest to least π^2/4, √4, 2.93

NemiM [27]

Answer:

2.93, √4, π^2/4

<em>Hope this helps</em>

<em>-Amelia</em>

4 0

3 years ago

Fran deposited 4869 into a savings account that pays simple annual interest rate of 3.25% how much interest will she earn after

Whitepunk [10]

Answer:

$395.61

Step-by-step explanation:

The formula for simple interest is:

$i=Prt$

Where

i is the interest amount

P is the principal amount

r is the rate of interest per time period

t is the time period

Here,

P = 4869

we want to find after 30 months, that converted to years is:

30/12 = 2.5 years

t = 2.5

The annual rate is 3.25% = 0.0325

Now, substituting, we find our answer:

$i=Prt\\i=(4869)(0.0325)(2.5)\\i=395.61$

The interest earned is <u>$395.61</u>

8 0

3 years ago

-5(2b + 7) + b < -b - 11

Stells [14]

<span><span>-5(2b+7) + b < -b - 11</span>
<span>-10b - 35 + b < -b - 11

- 10b + b - 35 < -b - 11

-9b - 35 < -b - 11

- 9b + b < - 11 + 35

-8b < 24

</span></span> $\frac{-8b}{-8} \ \textless \ \frac{24}{-8}$
<span><span>
b < -3

Have a nice days.........</span></span>

8 0

3 years ago

(5x^4-2x^3-7x^2-39)÷(x^2+2x-4)

lana [24]

Using the Polynomial Division: Divide 5 $x^{4}$ −2 $x^{3} -7x^{2} -39 by x^{2}$ +2x−4 using long polynomial division.

Answer to the Polynomial Division: $5x^{2} -12x+37+\frac{-122x+109}{x^{2}+2x-4}$

4 0

3 years ago