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2 years ago

14

A triangle has an area of 40 square inches. It's base is written as (x + 2) and it's height is written as (x + 4). Calculate the

value of x and be sure to check for any extraneous (excluded) value.

1 answer:

olga2289 [7]2 years ago

7 0

-3 plus or minus square root of 41
See attached picture for explanation

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In Virginia, 120 lame dogs were tested for arthritis and Lyme disease. The results showed that 42 of the dogs had Lyme disease,

miskamm [114]

Answer:

The number of dogs that had both Lyme disease and arthritis is 18

Step-by-step explanation:

Let x represent dogs that have both Lyme disease and arthritis

Dog with only Lyme disease = 42 - x

Dog with only arthritis = 96 - x

The sum of the 3 category should give 120

x + (42 - x) + (96 - x) = 120

Collect like terms and solve

x - x - x + 42 + 96 = 120

-x + 138 = 120

138 - 120 = x

x = 18

Dog with only Lyme disease = 42 - x = 42 - 18 = 24

Dog with only arthritis = 96 - x = 96 - 18 = 78

Therefore, the number of dogs with both Lyme disease and anthritis is 18.

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2 years ago

Anna makes a pot of vegetable bean soup. She is using 1/4 cup measuring cup. How many times will Anna need to fill the measuring

docker41 [41]

Answer:

3 1/2

Step-by-step explanation:

1/4=2/8

7/8 divided by 2/8= 3 1/2

6 0

2 years ago

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea

EastWind [94]

<span> 4 cups of tea are poured per minute
2 hours = 2 x 60 = 120 minutes
so in 2 hours = 120 x 4 = 480 cups
</span><span>16 cups in one gallon then
</span><span>480 / 16 = 30 gallons

answer
30 gallons

</span>

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2 years ago

More than $70 billion is spent each year in the drive-thru lanes of America’s fast-food restaurants. Having quick, accurate, and

artcher [175]

Answer:

a) There is no significant difference between restaurants with and without order-confirmation boards

b) -12.5 ± 3.604 or C.1.E (-16.10, -8.90)

Step-by-step explanation:

answers are in the attachment below

8 0

2 years ago

The area of a small pond is 78.5 yds. What is the diameter of the pond?

Zolol [24]

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ $\pi\ r^2$

where $r$ represents radius of the pond.

Thus, we have:

⇒ $\pi\ r^2=78.5$

Using $\pi=3.14$

⇒ $3.14r^2=78.5$

Solving for $r$

Dividing both sides by 3.14

⇒ $\frac{3.14r^2}{3.14}=\frac{78.5}{3.14}$

⇒ $r^2=25$

Taking square root both sides.

⇒ $\sqrt{r^2}=\sqrt{25}$

⇒ $r=\pm5$

So, radius = 5 yd, as distances are always positive.

Diameter = $2\times radius=2\times 5\ yd= 10\ yd$

Thus, diameter of pound = 10 yd

7 0

2 years ago