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2 years ago

What is the position of D on the number line below?

Mathematics

2 answers:

aksik [14]2 years ago

7 0

Answer:

3/5

Step-by-step explanation:

Vesnalui [34]2 years ago

3 0

Answer:

1 3/5

Step-by-step explanation:

The distance between 1 and 2 is 5 units. Therefore, Point D is 3/5 of the way to 2.

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If you go out to eat with friends and your meal was $ 72.50 , there is 6.75 % sales tax and you should tip the waiter 15 % . How

Ugo [173]

Answer:

divide this amount ($88.26875) by the number of people

Step-by-step explanation:

6.75% of $72.50 is 4.89375

15% of $72.50 is 10.875

72.50 + 4.89375 + 10.875 = 88.26875

divide this amount (88.26875) by the number of people

7 0

3 years ago

What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank read

chubhunter [2.5K]

Answer:

53.08 ft

Step-by-step explanation:

The pressure at the bottom of the tank, P = ρgh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8 m/s² and h = depth of water in tank.

Since the pressure at the bottom of the tank, P = ρgh, making h subject of the formula, we have

h = P/ρg

Since P = 23 psig = 23 × 1 psig = 23 × 6894.76 Pa = 158579.48 Pa

Substituting the values of the other variables into h, we have

h = P/ρg

h = 158579.48 Pa/(1000 kg/m³ × 9.8 m/s²)

h = 158579.48 Pa/(9800 kg/m²s²)

h = 16.18 m

h = 16.18 × 1 m

h = 16.18 × 3.28 ft

h = 53.08 ft

8 0

2 years ago

At Jefferson Middle School, 3/5 of the students play a sport. Of those students, 1/3 play soccer. What equation can be used to f

yaroslaw [1]

Answer:

Step-by-step explanation:

I think that right so let me know if It is right

7 0

2 years ago

What is the simplest form of 2 1/3 +5 3/4

BabaBlast [244]

get a common denominator which is 12

2 1/3 = 2 4 /12

5 3/4 = 5 9 /12

2 4/12 + 5 9/12 = 7 13/12

7 + 1 1/12

8 1/12

6 0

3 years ago

Number 1 and 2 please (25 points)

Elenna [48]

Answers:

1) $(3x+2)+(4-5x)=-2x+6$

$(3+2i)+(4-5i)=7-3i$

2) $(1-3x)(2+x)=-3x^{2}-5x+2$

$(1-3i)+(2+i)=5-5i$

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

<u>Addition: </u>

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example, the addition of these two binomials is:

$(3x+2)+(4-5x)=3x-5x+2+4=-2x+6$

Similarly, the addition of two complex numbers is:

$(3+2i)+(4-5i)=3+4+2i-5i=7-3i$ Here the complex part is the number with the $i$

<u>Multiplication: </u>

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .

For example, the multiplication of these two binomials is:

$(1-3x)(2+x)=2+x-6x-3x^{2}=-3x^{2}-5x+2$

Similarly, the multiplication of two complex numbers is:

$(1-3i)+(2+i)=2+i-6i-3i^{2}=2-5i-3(-1)=5-5i$

8 0

3 years ago