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cricket20 [7]
3 years ago
5

In 1/8 days, a construction crew built 1/4 miles of a road. What is the unit rate in miles per day.

Mathematics
1 answer:
tigry1 [53]3 years ago
4 0

The unit rate of road construction is 2 miles per day.

Step-by-step explanation:

Given,

In \frac{1}{8} days \frac{1}{4} miles road is constructed.

To find

The rate of road constructed per day

Method

We will apply unitary method to solve it.

Now,

In \frac{1}{8} days \frac{1}{4} miles road is constructed.

In 1 day the road will be constructed = \frac{1}{4} ÷ \frac{1}{8} miles

= 2 miles

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Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.
Ostrovityanka [42]
We have that an inverse variation in a function is given by:
 y = k / x

 We must find the value of the constant k.
 To do this, we substitute the values of x1 = 12, y1 = 15.
 We have then:
 15 = k / 12

 Clearing k we have:
 k = (15) * (12)

k = 180
 Substituting the value of k we have that the inverse variation is:
 y = 180 / x

 For y2 = 3 we have:
 3 = 180 / x2

 Clearing x2 we have:
 x2 = 180/3
 x2 = 60
 Answer:
 
x2 = 60
3 0
3 years ago
Gail Leonard�s monthly take home pay is $5,000 She has a $600 mortgage payment, $750 car payment, $120 student loan payment, and
storchak [24]
I am pretty sure your correct answer is 3380.
4 0
3 years ago
1.) Find the value of the discriminant and the the number of real solutions of
ruslelena [56]
Hi there!

When we have an equation standard form...
a {x}^{2} + bx + c = 0
...the formula of the discriminant is
D = b^2 - 4ac

When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions

1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0

Plug in the values from the equation into the formula of the discriminant

( - 8) {}^{2} - 4 \times 1 \times 7 = 64 - 28 = 36

D > 0 and therefore we have two real solutions.

2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0

Again, plug in the values from the equation into the formula of the discriminant.

{4}^{2} - 4 \times 2 \times 2 = 16 - 16 = 0

D = 0 and therefore we have one real solution.

~ Hope this helps you.
4 0
2 years ago
Read 2 more answers
A $96.00 item is marked down by 25%.
tangare [24]

Answer:

72.00$

Step-by-step explanation:

25% = .25

.25 × 96.00 = 24

96 - 24 = 72

6 0
3 years ago
Read 2 more answers
What is the lateral surface area of the pyramid?
Delicious77 [7]

Answer:

1,536 square centimeters

Step-by-step explanation:

The formula for the Lateral surface area of the pyramid =

1/2 × perimeter of the square base × slant height

Square base = 32cm

Slant height = 24cm

Perimeter of the square base = (4 × length of the square base side)

4 × 32cm = 128cm

Lateral Surface Area = 1/2 × 128cm × 24cm

= 1,536 square centimeters

6 0
3 years ago
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