A scale on a map shows that 2 inches equals 25 miles. How many miles is represented by 1/4 inch on the map?

If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.

Bingel [31]

I hope it will help you.

7 0

2 years ago

Read 2 more answers

There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less

kaheart [24]

The number of permutations of picking 4 pens from the box is 30.

There are six different unique colored pens in a box.

We have to select four pens from the different unique colored pens.

We have to find in how many different orders the four pens can be selected.

<h3>What is a permutation?</h3>

A permutation is the number of different arrangements of a set of items in a particular definite order.

The formula used for permutation of n items for r selection is:

$^nP_r = \frac{n!}{r!}$

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1

We have,

Number of colored pens = 6

n = 6.

Number of pens to be selected = 4

r = 4

Applying the permutation formula.

We get,

= $^6P_4$

= 6! / 4!

=(6x5x4x3x2x1 ) / ( 4x3x2x1)

= 6x5

=30

Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.

Learn more about permutation here:

brainly.com/question/14767366

#SPJ1

6 0

1 year ago

What is the vertex form of the parabola whose standard form equation is y=5x^2-30x+49

agasfer [191]

Answer:

The vertex is (3,4)

Step-by-step explanation:

To convert a quadratic from

y = a x 2 + b x + c

form to vertex form,

y = a ( x − h ) 2 + k , you use the process of completing the square.

First, we must isolate the x

terms:

y − 49 = 5 x 2 − 30 x + 49 − 49

y − 49 = 5 x 2 − 30 x

We need a leading coefficient of 1

for completing the square, so factor out the current leading coefficient of 2.

y − 49 = 5 ( x 2 − 6 x )

Next, we need to add the correct number to both sides of the equation to create a perfect square. However, because the number will be placed inside the parenthesis on the right side we must factor it by

2

on the left side of the equation. This is the coefficient we factored out in the previous step.

y − 49 + ( 5 ⋅ ? ) = 5 ( x 2 − 6 x + ? )

<- Hint:

62 = 3 ; 3 ⋅ 3 = 9

y − 49 + ( 5 ⋅ 9 ) = 5 ( x 2 − 6 x + 9 )

y− 49 + 45 = 5 ( x 2 − 6 x + 9 )

y − 4 = 5 ( x 2 − 6 x + 9 )

Then, we need to create the square on the right hand side of the equation:

y − 4 = 5 ( x − 3 ) 2

Now, isolate the y term:

y − 4 + 4 = 5 ( x − 3 ) 2 + 4

y − 0 = 5 ( x − 3 ) 2 + 4

The vertex is:

( 3 , 4 )

7 0

3 years ago

A factory produces 80,000 candies each day. They produce equal quantities of four favors: cherry,lemon,orange,and strawberry. Th

Nostrana [21]

Answer:

0.25 is the probability that the randomly selected candy is orange.

Step-by-step explanation:

We are given the following in the question:

Total number of candies = 80,000

Four equal number of flavored candies:

cherry,lemon,orange,and strawberry

Thus, number of orange candies =

$= \dfrac{\text{Total number of candies}}{4}\\\\=\dfrac{80000}{4} = 20000$

Thus, 20,000 orange flavored candies are produced.

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

P(orange) =

$=\dfrac{\text{Number of orange candies}}{\text{Total number of candies}}\\\\=\dfrac{20000}{80000} = \dfrac{1}{4} = 0.25$

0.25 is the probability that the randomly selected candy is orange.

6 0

3 years ago

GCF and LCM what is it and what do i have to do

kondor19780726 [428]

GCF is the Greatest Common Factor. It would be the largest number that can divide evenly into all the numbers you need to find the GCF in.

exapmple GCF for 12 and 16

12: 1, 2, 3, 4, 6, 12

16: 1, 2, 4, 8, 16

the largest common number is 4, so 4 is the GCF of 12 & 16

LCM = Least Common Multiple is the smallest number ( other than zero) that is a multiple of both

LCM of 3 and 5

3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20
the first common number is 15, so this is the LCM of 3 & 5

6 0

3 years ago