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3 years ago

Rewrite 2/20 : 1/40 as a unit rate

Mathematics

2 answers:

Valentin [98]3 years ago

5 0

Answer:

$\frac{4}{1}$

Step-by-step explanation:

Given:

2/20 : 1/40

A). First re-write the ratio as follows;

(i) Change the ratio sign to division (÷). i.e

2/20 ÷ 1/40

(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)

(2/20) × (40 / 1) = $\frac{2}{20}$ × $\frac{40}{1}$ = $\frac{4}{1}$

B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.

So to convert $\frac{4}{1}$ to unit rate, we keep simplifying until the denominator becomes 1.

And since the denominator is already 1, there is no need for further simplification.

Therefore, 2/20 : 1/40 to unit rate is $\frac{4}{1}$

KatRina [158]3 years ago

3 0

Answer:4/1

Step-by-step explanation:

I say this because you are supposed to divided it and the answer is 4 then you find the answer choice with a 1 as the denominator and it should say 4/1 and that is the correct answer.

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What is the vertex of the graph of f(x) = x2 + 10x - 9? A) (-5, -34) B) (-5, -9) C) (5, -9) D) (5, 66)

sukhopar [10]

Answer:

A) (-5, -34)

Step-by-step explanation:

f(x) = x^2 + 10x - 9

We complete the square to get the equation in vertex form

Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation

f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9

f(x) = x^2 +10x +25 -25 -9

f(x) = (x^2 +10x +25) -34

The term in parentheses simplified to (x+10/2) ^2

= (x+5)^2 -34

= (x - -5)^2 -34

This is in the form (x-h)^2 +k

The vertex is (h,k) h=-5 and k=-34

(-5,-34)

4 0

2 years ago

Read 2 more answers

Under his cell phone plan, Bentley pays a flat cost of $64.50 per month and $4 per gigabyte. He wants to keep his bill at $78.90

Ira Lisetskai [31]

Answer:

3.6 gB

Step-by-step explanation:

You can think of this question in terms of the y = mx+b equation.

$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.

78.9 = 4x + 64.5

4x = 14.4

x = 3.6 gB of data (or 3 if it wants a whole number)

7 0

2 years ago

justin paid $1,185 in sales tax on her new car. The car cost $15,800 before taxes. What percent was the sales tax rate?

soldi70 [24.7K]

Answer:

The percentage is 7.5%

7 0

3 years ago

Find the domain of

ch4aika [34]

Answer:

C (x ≥ -6)

Step-by-step explanation:

Algebraic:

The domain of $\sqrt{x}$ is $x\geq 0$ . When transformed 6 units to the left, it becomes $x\geq -6$

Graphically:

As shown in the attached graph, $x\geq -6$ .

6 0

3 years ago

I need help with math homework #2 algebra

OverLord2011 [107]

Answer:

A. (0, -2) and (4, 1)

B. Slope (m) = ¾

C. y - 1 = ¾(x - 4)

D. y = ¾x - 2

E. -¾x + y = -2

Step-by-step explanation:

A. Two points on the line from the graph are: (0, -2) and (4, 1)

B. The slope can be calculated using two points, (0, -2) and (4, 1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4}$

Slope (m) = ¾

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).

Thus:

y - 1 = ¾(x - 4)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 1 = ¾(x - 4)

4(y - 1) = 3(x - 4)

4y - 4 = 3x - 12

4y = 3x - 12 + 4

4y = 3x - 8

y = ¾x - 8/4

y = ¾x - 2

E. Convert the equation in (D) to standard form:

y = ¾x - 2

-¾x + y = -2

8 0

3 years ago