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3 years ago

1) Which of the following represents a unit rate? *

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Answer:

D, It's used for every one

Step-by-step explanation:

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Ms. Reznik can jog 3000 feet in 5 minutes. How many feet can she jog in 8 minutes?

Pie

Answer:

4800 ft

Step-by-step explanation:

divide 3000 by to get the amount of ft she runs in a minute then multiply that answer by 8

(3000/5= 600×8= 4800

4 0

3 years ago

Read 2 more answers

if 7 men and 5 womean have applied for job and 3 applicants are randomly selected from the probability that 2 are men

barxatty [35]

The probability that 2 men are selected is 49/144

Probability is the likelihood or chance that an event will occur.

If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people

Pr(2 men are selected) = 7/12 * 7/12
Pr(2 men are selected) = 49/144

Hence the probability that 2 men are selected is 49/144

Learn more on probabaility here:brainly.com/question/24756209

3 0

2 years ago

Read 2 more answers

Martina's fish tank has 15 liters of water in it. She plans to add 5 liters per minute until the tank has at least 60 liters. Wh

Phoenix [80]

Answer:

9 minutes

Step-by-step explanation:

60=15+5t

45=5t : subtract 15 from both sides

9=t : divide by 5 for both side

3 0

2 years ago

Given the quadratic function f(x) = 4x^2 - 4x + 3, determine all possible solutions for f(x) = 0

solong [7]

Answer:

The solutions to the quadratic function are:

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3$

Let us determine all possible solutions for f(x) = 0

$0=4x^2-4x+3$

switch both sides

$4x^2-4x+3=0$

subtract 3 from both sides

$4x^2-4x+3-3=0-3$

simplify

$4x^2-4x=-3$

Divide both sides by 4

$\frac{4x^2-4x}{4}=\frac{-3}{4}$

$x^2-x=-\frac{3}{4}$

Add (-1/2)² to both sides

$x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2$

$x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}$

$\left(x-\frac{1}{2}\right)^2=-\frac{1}{2}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{1}{2}=\sqrt{-\frac{1}{2}}$

$x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}$ ∵ $\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}$

$\sqrt{-1}=i$

$x-\frac{1}{2}=i\sqrt{\frac{1}{2}}$

Add 1/2 to both sides

$x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}$

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2}$

also solving

$x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}$

$x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}$

Add 1/2 to both sides

$x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

$x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

Therefore, the solutions to the quadratic function are:

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

4 0

2 years ago

Write the algebraic expression for each word problem.

Annette [7]

Answers:

Question #6

(b - 7) + 10

Question #7

20 + (w × 50)

Question #8

$\frac{c}{5}$

Question #9

5 + (2 · t)

Question #10

(d · 4) + (p · 2)

5 0

3 years ago

Read 2 more answers