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3 years ago

14

A test contains eight true/false questions. Assuming you attempt each question, in how many different ways could you answer the

test

1 answer:

Umnica [9.8K]3 years ago

5 0

multiplication , addition, subtraction, division

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What is the value of 3.45 + 2.6 + 32.007?

bulgar [2K]

38.057 is the total

4 0

2 years ago

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How many ways can 4 pizza toppings be chosen from 12 available toppings

Arisa [49]

Answer:

There are 495 different ways to choose 4 pizza toppings from 12.

Step-by-step explanation:

12!/8!4! = 12*11*10*9/(4*3*2) = 11*9*5 = 495

5 0

2 years ago

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142 students are going on a field trip. There will be six drivers, and two different types of vehicles. A bus can hold 51 people

otez555 [7]

Answer: 2 buses and 4 vans would be needed

Step-by-step explanation:

Let x represent the number of buses that would be needed.

Let y represent the number of vans that would be needed.

There will be six drivers, and two different types of vehicles. This means that

x + y = 6

142 students are going on a field trip. A bus can hold 51 people while a van can hold 10. This means that

51x + 10y = 142 - - - - - - - - - - - 1

Substituting x = 6 - y into equation 1, it becomes

51(6 - y) + 10y = 142

306 - 51y + 10y = 142

- 51y + 10y = 142 - 306

- 41y = - 164

y = - 164/ - 41

y = 4

x = 6 - y = 6 - 4

x = 2

8 0

3 years ago

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

Andrew [12]

The non-algebraic functions are called transcendental functions. This include the logarithmic function. The definition of Logarithmic Function with Base a is as follows:

$For \ x\ \textgreater \ 0, \ a \ \textgreater \ 0, \ and \ a \neq 1 \\ \\ y=log_{a}x \ if \ and \ only \ if \ x=a^{y} \\ \\ Then: \\ \\ f(x)=log_{a}x \\ \\ is \ called \ the \ logarithmic \ function \ with \ base \ a.$

We know that the equations is:

$y=log(10x)$

So let's solve each case:

Case 1

$x=\frac{1}{100} \\ \\ y=log(10(\frac{1}{100})) \\ \\ \therefore y=log(\frac{1}{10}) \\ \\ \therefore y=-1 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{100}} \ matches \ to \ \boxed{y=-1}$

Case 2

$x=\frac{1}{10} \\ \\ y=log(10(\frac{1}{10})) \\ \\ \therefore y=log(1) \\ \\ \therefore y=0 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{10}} \ matches \ to \ \boxed{y=0}$

Case 3

$x=1 \\ \\ y=log(10(1)) \\ \\ \therefore y=log(10) \\ \\ \therefore y=1 \\ \\ So: \\ \\ \boxed{\ x=1} \ matches \ to \ \boxed{y=1}$

Case 4

$x=10 \\ \\ y=log(10(10)) \\ \\ \therefore y=log(100) \\ \\ \therefore y=2 \\ \\ So: \\ \\ \boxed{\ x=10} \ matches \ to \ \boxed{y=2}$

Case 5

$x=100 \\ \\ y=log(10(100)) \\ \\ \therefore y=log(1000) \\ \\ \therefore y=3 \\ \\ So: \\ \\ \boxed{x=100} \ matches \ to \ \boxed{y=3}$

5 0

3 years ago

Read 2 more answers

The length of each of the legs of an isosceles triangle is represented by the

lutik1710 [3]

Answer:

10 inches

Step-by-step explanation:

6x-2+6x-2+3x+1=42

12x-4+3x+1=42

15x-3=42

15x=45

x=3

Plug x=3 into 3x+1

3*3+1

9+1=10

Length of base is 10 inches

6 0

3 years ago