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3 years ago

Malachai is doing a 20 miles bike ride. He has cycled 11 miles so far. What percentage of the the total distance has he cycled

1 answer:

5 0

11 miles / 20 miles =.55
.55 x 100 = 55%
11/20 is the proportion and you multiply by 100 to gey a percent
another way to solve is
11/20 x 5/5 = 55/100 = 55%
you multiply by 5/5 because it is equal to one and it makes the denominator equal to 100 it also follows the rule that whatever you do to the top you must do with the bottom

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The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even

Irina-Kira [14]

Answer: translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C) horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

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3 years ago

WILL MARK AS BRAINLIEST FOR THESE QUESTIONS.

laiz [17]

Let the sandwich be represented by = x

Let the drink be represented by = y

As given, Joe charges $10.00 for two sandwiches and one drink, so equation becomes 2x+y=10 ....(i)

He charges $6.50 for one sandwich and one drink, so equation becomes x+y=6.50 ....(ii)

Subtracting (ii) from (i) we get

x=3.50

And as x+y=6.50

y=6.50-3.50=3.00

Hence, cost of a sandwich is $3.50 and a drink is $3.00

the question is incomplete. coordinates are missing

Let x represent the number of performances

cost = 8000+300x

revenue = 700x

To break even, the cost must be equal to the revenue.

$8000+300x=700x$

$400x=8000$

so x=20

Hence, 20 performances are needed to break even.

Let us take x for 20% material, y for 50% material

$\frac{20x+50y}{200}=30$

$20x+50y=6000$ ......... (1)

Accounting for volumes to use, x+y=200 or x=200-y ................ (2)

Putting the value of x in (1)

$20(200-y)+50y=6000$

$4000-20y+50y=6000$

$4000+30y=6000$

$30y=2000$

y=66.67

x=200-y = 200-66.67 =133.33

Hence, 133.33 ml of 20% acetic acid and 66.67% of 50% acetic acid is needed.

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3 years ago