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2 years ago

Finding actual height and width of a room

Mathematics

1 answer:

sladkih [1.3K]2 years ago

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a pipeline is laid at a rate of 1/8 mile per day.How many miles of line would be completed in 29 1/2 days

Setler [38]

Answer:

In 29 1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.

Step-by-step explanation:

The length of pipe laid in 1 day = 1/8 mile

So, the length of pipe laid in half day = half of (1/8 mile)

= $\frac{1}{2} \times \frac{1}{8} = \frac{1}{16} \textrm{mile}$

Now, 29 1/2 days on simplification means 29 and half day.

So, length of pipe in 29 days = $29 \times \frac{1}{8} = \frac{29}{8}$ mile

Now adding the length laid in half day = $\frac{29}{8} + \frac{1}{16} = \frac{29 (2) + 1}{16} = \frac{59}{16} \textrm{mile}$

So, in 29 1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.

8 0

3 years ago

Paralell to y=4x-6 through (12,10)

stiks02 [169]

<u>ANSWER</u>

The line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

<u>EXPLANATION</u>

The equation that is parallel to the line $y=4x-6$ has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

$y=mx+c$ ,this line has slope $m=2$ .

Hence the line parallel to this line also has slope $m=2$ .

Let $y=mx+b$ be the equation of the line parallel to the line

$y=4x-6$

We can substitute $m=2$ to obtain;

$y=2x+b$

If the line passes through the point $(12,10)$ ,then this point must satisfy its equation.

We substitute $x=12$ and $y=10$ to obtain;

$10=2(12)+b$

We this equation for $b$ .

$\Rightarrow 10=24+b$

$\Rightarrow 10-24=b$

$\Rightarrow -14=b$

We substitute this value of $b=-14$ in to $y=2x+b$ to get;

$y=2x+-14$ .

Hence the equation of the line that is parallel to $y=4x-6$ through $(12,10)$ is $y=2x-14$ .

3 0

2 years ago

Scott Harris can invest $7,000 in a 1-year CD that earns interest at an annual rate of 4 percent compounded monthly. The amount

Tom [10]

Answer:

option A is answer.

Step-by-step explanation:

Amount of interest earned for compounded monthly for $1 = 1.040742

Amount of interest earned for compounded quarterly for $1= 1.040604

Difference for $1 = 1.040742 - 1.40604

=0.000138

Difference for $7000 = $7000x0.000138

= 0.966

or $0.96

8 0

3 years ago

1:40 A.M to 3:01 A.M

Alborosie

Answer:

1 hour 21 minutes

Step-by-step explanation:

3 0

2 years ago

Monica needs to increase her savings by 20%. If she has $85 already in her savings account, how much does she need to add?

Anarel [89]

20% = .2
85 x .2 = 17
she needs to add $17

6 0

2 years ago