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WINSTONCH [101]

10 months ago

14

For a given recipe, 24 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 8 cups of flour a

re used?

1 answer:

larisa [96]10 months ago

7 0

Answer:

First, 24 divided by 8 equals 3. this means you divide 12 by 3. you get 4. 4 cups of sugar will be used when 8 cups of flour are used.

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A nature center has a fish tank in the shape of a rectangular prism. The tank is 10 feet long, 8 ¼ feet wide, and 6 feet tall. T

dem82 [27]

Answer:

Do you know theh answer??

Step-by-step explanation:

5 0

2 years ago

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Look at the graph shown below the blue line represents an _______ of the graph

erastovalidia [21]

Given:

The graph of a function and a blue line.

To find:

The correct name for the blue line.

Solution:

Domain: It is the set of inputs. These are the x-values for which the function is defined.

Range: It is the set of outputs. These are the y-values for the function.

Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.

y-intercept: It is the intersection point of the function and the y-axis.

From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.

So, the blue line is an asymptote of the function.

Look at the graph shown below the blue line represents an asymptote of the graph.

5 0

3 years ago

Find the lateral area of the cone in terms of π.

Andreyy89

Answer:

$15\pi\ cm^{2}$

Step-by-step explanation:

we know that

The lateral area of the cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=3\ cm$

Applying the Pythagoras Theorem find the slant height

$l^{2}=3^{2} +4^{2}\\ \\l^{2}=25\\ \\l=5\ cm$

substitute in the formula

$LA=\pi (3)(5)=15\pi\ cm^{2}$

8 0

3 years ago

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

gizmo_the_mogwai [7]

----------------------------------------------------------------------------------------------
Find the duration
----------------------------------------------------------------------------------------------
Time : 9:00am to 10:15am
Duration: 1hour 15 mins or 1.25hours

----------------------------------------------------------------------------------------------
Find difference in distance travelled between the two cyclists.
----------------------------------------------------------------------------------------------
Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

----------------------------------------------------------------------------------------------
Find the distance the cyclist traveled
----------------------------------------------------------------------------------------------
42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
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1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

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Answer: The speed were 14km/h and 20 km/h
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8 0

3 years ago

Read 2 more answers

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

rewona [7]

Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 3
Find the value of k
we have

-----> equation A
-----> equation B
----> equation C
substitute equation A and equation C in equation B and solve for k

3 0

3 years ago