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ziro4ka [17]
3 years ago
11

Divide 2 tonnes in the ratio 2:3.

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0

Answer:

0.8 : 1.2

Step-by-step explanation:

2/5 × 2= 0.8 Tonnes

3/5 ×2 = 1.2 tonnes

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In a certain year, the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell
satela [25.4K]

Using decimal multipliers, it is found that the value of x is of 16.67.

<h3>What is a decimal multiplier?</h3>

Increases of a% or decreases of a% re represented by decimal values, as follows:

  • The equivalent multiplier for an increase of a% is given by: \frac{100 + a}{100}
  • The equivalent multiplier for an decrease of a% is given by: \frac{100 - a}{100}

In this problem:

  • The price at the beginning of January was of a.
  • Increase of 20% in January, hence 1.2a.
  • Decrease of 20% in February, hence 1.2(0.8)a.
  • Increase of 25% in March, hence 1.2(0.8)(1.25)a.
  • Decrease of x% in April, hence 1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:

a =1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a

1.2\left(\frac{100 - x}{100}\right) = 1

\left(\frac{100 - x}{100}\right) = \frac{1}{1.2}

\frac{100 - x}{100} = 0.8333

100 - x = 83.33

x = 16.67

The value of x is of 16.67.

To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336

6 0
2 years ago
Consider the graph shown.
otez555 [7]

Answer:

y = \frac{2}{3} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)

m = \frac{4-2}{3-0} = \frac{2}{3}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = \frac{2}{3} x + 2 ← equation of line

5 0
3 years ago
store announced that their $500 appliances were on sale for $475 what is the percent discount on the appliances
Aleks04 [339]

Answer:

We are given that a store announced that their $500 appliances were on sale.

The price of the appliances after discount is $475.

We are required to find the percent discount on the appliances.

To find the percent discount, we have to use the below formula:

\frac{(Actual-discounted)}{Actual} \times 100\%

\frac{500-475}{500}\times 100\%

\frac{25}{500} \times 100\%

0.05 \times 100\%

5\%

Therefore, the percent discount on the appliances is 5%


6 0
3 years ago
Graphing Natural Exponential Functions In Exercise, sketch the graph of the function.
strojnjashka [21]

Answer:

Step-by-step explanation:

Graph:  f(x) = 1 - ex

You meant f(x) = 1 - e^x, where ^ represents exponentiation.

First, graph the parent function y = e^x.  The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept.  The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.

Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x.  The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.

Finally, translate the whole graph upward by 1 unit.

5 0
3 years ago
Ms.Gonzalez ordered prizes for her science classes. On Friday, Ms. Gonzalez had received 6 times as many prizes as she got on We
arsen [322]
I think Ms.Gonzalez got 217 prizes on Wednesday.All you had to do was divide 1,307 by 6.
4 0
3 years ago
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