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cricket20 [7]
3 years ago
7

Solve for x. Show each step of the solution. 4.5(8 − ) + 36 = 102 − 2.5(3 + 24)

Mathematics
2 answers:
Gemiola [76]3 years ago
4 0
8.33333333 repeat.
Hope This Helps
Yakvenalex [24]3 years ago
3 0
Is there a number missing after the 8?
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What is the solution of the equation? (√2x-1) + 2=x
Gwar [14]

Answer:

x = 5

Step-by-step explanation:

√(2x − 1) + 2 = x

√(2x − 1) = x − 2

2x − 1 = (x − 2)²

2x − 1 = x² − 4x + 4

0 = x² − 6x + 5

0 = (x − 1) (x − 5)

x = 1 or 5

Check for extraneous solutions.

√(2(1) − 1) + 2 = 1

√(1) + 2 = 1

3 = 1

No solution

√(2(5) − 1) + 2 = 5

√(9) + 2 = 5

5 = 5

x = 5

7 0
3 years ago
Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 fo
Lilit [14]

Hot Dog Stand

Let

C--------> total cost of the hot dog

x-------> is the number of toppings

we know that

C=0.5x+1.5

where

The slope of the linear equation is equal to 0.5\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$1.5

That means -------> This is the cost of the hot dog without topping  

Hamburgers Stand

Let

C--------> total cost of the hamburger

x-------> is the number of toppings

we know that

C=0.25x+2.50

where

The slope of the linear equation is equal to 0.25\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$2.5

That means -------> This is the cost of the hamburger without topping

therefore

<u>the answer is</u>

The linear equation of the hamburger cost is equal to

C=0.25x+2.50


4 0
3 years ago
Read 2 more answers
Find the expressions for x=6 and y=17 x ÷ 3 + y
hjlf
19 because 6 divided by 3 = 2 + 17 ?
3 0
4 years ago
Read 2 more answers
A box of crackers is 16 cm long, 6 cm wide, and 23 cm tall. <br><br> What is the volume of this box?
zaharov [31]
Given: 16cm long, 6cm wide, 23 cm tall
Asked: volume of the box
Formula: V=LxWxH
Solution: V = 16x6x23 = n
Answer: 2,208 cm³ volume of the box
6 0
3 years ago
Read 2 more answers
A drug company conducts trials of a new vaccine for a rare but usually fatal disease. The company creates a
GalinKa [24]

Answer:

What can be said about the model are;

1) The company predicts 4 failures before success

2) Each trial is independent

3) The probability is the same for each trial

4) Success is defined as preventing the disease

Step-by-step explanation:

The probability of success for the vaccine, p = 0.2

Therefore, the probability that the vaccine is effective and prevents the disease = 0.2

A geometric distribution probability of success is given by the following formula;

P(X = x) = p × q⁽ˣ⁻¹⁾

The expected value, E(Y) = 1/p

The number of failures before success, E(Y) = (1 - p)/p = (1 - 0.2)/0.2 = 4

Where;

q = The probability of a trial failing = 1 - p = 1 - 0.2 = 0.8

q = 1 - p

∴ The e

The geometric model criteria are;

a) Each trial can only have one of two outcomes success or failure

b) The probability of success for each trial is fixed

c) The geometric distribution is concerned with finding how many trials are required to get one success

d) The trials are independent

Therefore, we have;

The number of failures the company predicts before a success = 4 failures

2) The trials are independent

3) Each trial has an equal probability

4) Success is defined by the effectiveness of the vaccine in the prevention of the disease

4 0
3 years ago
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