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snow_lady [41]
3 years ago
14

Sam picked 1/2 gallon of blueberries. he poured the blueberries into one of his plastic containers and noticed that the berries

filled the container 2/3 full. how many gallons of blueberries does it take to fill sam’s container completely full?
Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

3/4 gallons of blueberries

Step-by-step explanation:

we know that

1/2 gallon of blueberries filled the container 2/3 full

so

using proportion

Find out how many gallons of blueberries does it take to fill Sam’s container completely full

Remember that

completely full (100% filled) is the same that the fraction 3/3 or 1

so

\frac{(1/2)}{(2/3)}=\frac{x}{1}\\\\x=\frac{1}{2}:\frac{2}{3}\\\\x= \frac{1*3}{2*2}\\\\x=\frac{3}{4}\ gal

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The height h is greater than 2.5 meters.<br> Write an inequality for the word sentence
Zielflug [23.3K]

Answer:

H > 2.5

Step-by-step explanation:

Greater = >

Lessthan = <

Equal = =

4 0
3 years ago
Find the slope of the line that passes through<br> (10, 1) and (5,2)
Brilliant_brown [7]

Answer:

-5

Step-by-step explanation:

2 - 1 = 1

5 - 10 = -5

-5 divided by 1 = -5

4 0
3 years ago
When jerry drives 204 miles on the highway, his car uses 6 gallons of gasoline . How much gasoline would his car use if he drive
Luba_88 [7]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b
poizon [28]

The roots of the given polynomials exist  $x=8+\sqrt{10}$, and $x=8-\sqrt{10}$.

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\

$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\

$&x=8+\sqrt{10}, x=8-\sqrt{10}

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$, and

$x=8-\sqrt{10}$.

To learn more about quadratic equations refer to:

brainly.com/question/1214333

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3 0
1 year ago
Read 2 more answers
For which intervals is the function decreasing?
lilavasa [31]

Answer:

The function is decreasing in the following intervals

A. (0, 1)

C. (2, pi)

Step-by-step explanation:

To answer this question, imagine that you draw lines of slope m parallel to the function shown at each point.

-If the slope of this line parallel to the function is negative for those points then the function is decreasing.

-If the slope of this line parallel to the function is positive for those points then the function is increasing.

Observe in the lines drawn in the attached image. You can see that they have slope less than zero in the following interval:

(0, 1) U (2, pi)

Therefore the correct option is:

A. (0, 1)

C. (2, pi)

5 0
4 years ago
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