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3 years ago

10

Cameron is using the quadratic equation (x+15)(x)=100 where x represents the width of a picture frame. Which statement about the

solutions x=5 and x=-20 is true?

1 answer:

Gekata [30.6K]3 years ago

7 0

The correct solution should be x = 5 for the reason that we are calculating for the width which is always a positive value.

Mathematically, -20 is also correct for this satisfies the quadratic equation but here the most logical answer is 5.

No statements have been posted here actually that is why I have given an interpretation of your answers.

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kevin has a rectangular-shaped garden its 15 feet by 12 feet wide he plants 36 square feet of tomatoes what percent of the garde

dusya [7]

Answer:

<u>20%</u> of the garden are tomatoes planted.

Step-by-step explanation:

Given:

Kevin has a rectangular-shaped garden its 15 feet by 12 feet wide.

He plants 36 square feet of tomatoes.

Now, to find the percent of the garden where tomatoes planted.

We need to get the total area of the garden first:

Total area of the garden = $15 feet by 12 feet.$

= $15 feet\times 12 feet.$

= $180\ square\ feet.$

So, getting the area of the garden 180 square feet.

Now, we calculate the percent of the area of garden where tomatoes are planted:

$\frac{Area\ of\ tomatoes\ planted}{Total\ area\ of\ garden} \times 100.$

$=\frac{36\ square\ feet}{180\ square\ feet} \times 100$

$=\frac{36}{180} \times 100$

$=\frac{3600}{180}$

$=20\%.$

Therefore, 20% of the garden where are tomatoes planted.

3 0

3 years ago

If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, i

Helga [31]

Answer:

50 inches

Step-by-step explanation:

30²+40² = c² (c²= diagnol)

900+ 1600 = √2500

√2500 = 50

This is also a pythagorean triple (30,40,50).

7 0

3 years ago

Read 2 more answers

BlackZzzverrR [31]

Answer:

Question 1)

Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.

Question 2)

Four hours.

Question 3)

Paige spent two hours biking and six hours walking.

Step-by-step explanation:

Question 1)

Let Cristina's speed be <em>x</em>.

Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (<em>x</em> + 9).

After six hours, Cristina would have traveled 6<em>x</em> miles and Kori would have traveled 6(<em>x</em> + 9) miles.

Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(<em>x</em> + 9) miles away from the restaurant while Cristina is 6<em>x</em> miles away from the restaurant.

Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:

$(6x)-(-6(x+9))=186$

Distribute:

$6x-(-6x-54)=186$

Distribute:

$6x+6x+54=186$

Simplify:

$12x=132$

Hence:

$x=11$

Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.

Question 2)

Let <em>h</em> represent the amount of time that has passed in hours.

Carrie left the restaurant traveling 12 miles per hour.

Four hours later, Leah left traveling in the same direction at 24 miles per hour.

After four hours, Carrie would have traveled 12(4) = 48 miles.

Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:

$12h+48$

Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:

$24h$

Leah will catch up when the two expressions are equivalent. Hence:

$12h+48=24h$

Solve for <em>h: </em>

<em /> $12h=48\Rightarrow h=4$ <em />

Leah will catch up with Carrie in four hours.

Question 3)

Let <em>x</em> represent the amount of hours spent biking and <em>y</em> represent the amount of hours spent walking.

The total trip to the mall took eight hours. Hence:

$x+y=8$

The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:

$8x+5y=46$

Solve the system. We can use elimination. Multiply the first equation by -5:

$-5x-5y=-40$

We can add this to the second equation:

$3x=6$

Hence:

$x=2$

Using the first equation again:

$(2)+y=8\Rightarrow y=6$

So, Paige spent two hours biking and six hours walking.

4 0

3 years ago

Answerrrrrrrrrrrrrrr pleaswe correctly.

kipiarov [429]

Answer:

y+2x+3

Step-by-step explanation:

hope this helps!!

3 0

3 years ago

Read 2 more answers

lisabon 2012 [21]

Answer:

C Multiply the 1st equation by 2

Step-by-step explanation:

-6y + 6y = 0

6 0

3 years ago

Read 2 more answers