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joja [24]
3 years ago
9

Write each rate as a unit rate. $2 for 5 cans of soup.

Mathematics
1 answer:
Len [333]3 years ago
6 0
If you would like to write each rate as a unit rate, you can do this using the following steps:

$2 ... 5 cans of a soup
$1 ... x cans of a soup = ? 

2 * x = 5 * 1
2 * x = 5
x = 5 / 2
x = 2.5 cans of a soup per $1

$2 ... 5 cans of a soup
$x = ? ... 1 can of a soup

2 * 1 = 5 * x
2 = 5 * x
x = 2 / 5 
x = $0.4 per 1 can of a soup
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The areas of two similar triangles are 75m2 and 300m2. The length of one of the sides of the second triangles is 9m. What is the
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Answer:

4.5 m

Step-by-step explanation:

The area of two similar triangles are 75 m2 and 300 m2. This gives you the scale factor of the triangles:

\dfrac{A_{small}}{A_{large}}=k^2\Rightarrow k^2 =\dfrac{75}{300}=\dfrac{3}{12}=\dfrac{1}{4}\Rightarrow k=\dfrac{1}{2}.

Then you can find the length of the corresponding side:

\dfrac{side_{small}}{side_{large}}=k\Rightarrow =\dfrac{side_{small}}{9}=\dfrac{1}{2},\ side_{small}=\dfrac{9}{2}=4.5\ m.

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atroni [7]

Answer:

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Step-by-step explanation:

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2 years ago
On the graph shown, what is f(-2)
WARRIOR [948]

Answer:

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2 years ago
Solve -7(3x-7)+21x_>50
ohaa [14]

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your inequality step-by-step.

−7(3x−7)+21x≥50

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3 years ago
The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term
irinina [24]

Answer:

The required expression is:

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Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

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