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lidiya [134]
4 years ago
5

A construction crew has just finished building a road. The road is 10 5/6 kilometers long. If the crew worked for 5 days, how ma

ny kilometers of road did they build each day? (Assume they built the same amount each day.)
Write your answer as a mixed number in simplest form.
Mathematics
1 answer:
anygoal [31]4 years ago
6 0

Answer:

Step-by-step explanation:

10 5/6 km...in 5 days

(10 5/6) / 5 =

(65/6) / 5 =

65/6 * 1/5 =

65/30 =

2 1/6 kilometers per day <===

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A rectangular flower garden in Samantha's backyard has 220 feet around its edge. The width of the garden is 50 feet. What is the
Ede4ka [16]

Answer: 60 ft

Step-by-step explanation:

Given

The perimeter of the garden is 220\ ft

The width of the garden is 50\ ft

Suppose the length of the garden is x

Perimeter is the sum of the lengths of the sides

\Rightarrow 220=2(x+50)\\\Rightarrow 110=x+50\\\Rightarrow x=60\ ft

So, the length of the garden is 60\ ft

4 0
3 years ago
One-eighth of the 32 students in the class went abroad for fall break. How many students went abroad?
Anestetic [448]
<span>One-eighth of the 32 students = 1/8 of 32 = 1/8 * 32 = 4

Four students went abroad
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6 0
4 years ago
what is the value of the discriminant of the quadratic equation -2x^2 -8x+8 and what does it value mean about the number about t
sweet-ann [11.9K]

Answer:

0

Step-by-step explanation:

It is been considered that Discriminant is calculated by the following formula:

D = b*b - 4 * a * c

In order to simplify the calculations we can divide all the numbers by 2 and we will have the same quadratic equation:

-x^2 -4x+4=0

and as usual quadratic equation is presented as the following:

ax^2 - bx + c = 0

so in our case a = -1; b = -4; c = 4;

Then D = -4*4 -4*(-1) * 4 = -16+16 = 0

I am not quite understanding the following phrase:

"and what does it value mean about the number about the number"

but if the question was in regards of the following number '-2x^2' so number ^2 is actually the value of power so 'x' is multiplied on it is own and this equation basically means the following:

-2x^2 = -2 * (x) * (x)

6 0
4 years ago
4. James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They
Zinaida [17]

$ 159,744.59 will be in the account after 20 years.

Answer: Option A

<u>Step-by-step explanation:</u>

Need to find out the amount present in the account after 20 years. The formula to find out the future value is,

          \text {Future value}=p \times\left(\frac{\left(1+\frac{r}{n}\right)^{n t}-1}{\frac{r}{n}}\right)

Here  

p : amount deposit monthly =$500

r : rate of interest  = \frac{2.75}{100} = 0.0275

n : 12(compound monthly)

t : time =20

By substituting all the given datas in the above equation, we get

    \text { Future value }=500 \times\left(\frac{\left(1+\frac{0.0275}{12}\right)^{240}-1}{\frac{0.0275}{12}}\right)

    \text {Future value}=500 \times\left(\frac{(1+0.002291)^{240}-1}{0.002291}\right)=500 \times\left(\frac{(1.732)-1}{0.002291}\right)

   \text { Future value }=500 \times\left(\frac{0.732}{0.002291}\right)=500 \times 319.511=\$ 159,744.99

3 0
3 years ago
jack has a rectangular patio with a length that is one foot less than twice its width. his neighbor Ron’s patio has the same wid
Mekhanik [1.2K]

Answer:

246

Step-by-step explanation:

3 0
4 years ago
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