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Andrews [41]
2 years ago
14

rachel is trying to find deminsions of her new office. the office is 150 aquare feet(area+150ft2) the width of the office is 5 f

eet shorter than the length find the dimensions of rachels office
Mathematics
1 answer:
viva [34]2 years ago
5 0

Answer:

Step-by-step explanation:

length =15 feet

width =10 feet

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14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of th
Hitman42 [59]

The amount each friend does pay is £9.75

<h3>How to calculate the pay of each friend using fractions and arithmetic operations?</h3>

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

  • The 5% of 130 = £6.5
  • Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = \dfrac{136.5}{14}

The cost of each friend = £9.75


Learn more about fractions here:

brainly.com/question/78672

#SPJ1

4 0
1 year ago
A man borrowed $8000. He paid $10100 after 9 months for the debt. What was the interest rate per annum?
Anastaziya [24]

Answer:

3.5%

Step-by-step explanation:

Interest = 10100 - 8000 or 2100

I = Prt

2100 = 8000(9/12)r

2100 = 600r

2100/600 = r

3.5 = r

4 0
2 years ago
Graph the line with slope 1 passing through the point (5,1).
vfiekz [6]

Answer:

y= x-4

Step-by-step explanation:

Since we have a point, and the slope, we can use the point slope formula

y-y_{1}=m(x-x_{1}  )

m is the slope, y1 is the y coordinate of the point and x1 is the x coordinate of the point.

We know that m is 1, y1 is 1, and x1 is 5, so we can substitute them in

y-1=1(x-5)

Solve for y by isolating it

Distribute the 1

y-1=1*x+ 1*-5

y-1=x-5

Add 1 to both sides

y=x-4

7 0
3 years ago
Read 2 more answers
Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?
9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

f(x)=\frac{(x-1)(x^2-4)}{x^2-a}

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that x=\sqrt{a} will annulate the denominator, i.e

(\sqrt{a})^2-a = a-a = 0. But, if a = 1 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}

so, the value x=\sqrt{a} = \sqrt{1} = 1 won't annulate the denominator.

Now, for a = 4 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1

so, the value x=\sqrt{a} = \sqrt{4} = 2 won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

4 0
3 years ago
The formula V = πd2h 8 is used to find the volume of a parabolic cone. In the formula "d" represents the diameter of the cone an
ankoles [38]

Answer:

V = 54π cm³ ⇒ answer (C)

Step-by-step explanation:

∵ V = (πd²h)/8

∵ d = 6 cm

∵ h = 12 cm

∴ V = (π × 6² × 12) ÷ 8 = 54π cm³

5 0
3 years ago
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