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natima [27]
2 years ago
12

Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 in 3

hours. What is the unit rate for all 24 problems? 4 problems per hour 6 problems per hour 8 problems per hour 12 problems per hour
Mathematics
1 answer:
Bezzdna [24]2 years ago
8 0

Answer:

6 problems per hour

Step-by-step explanation:

Total problems = 24

she completed the first 12 problems in 1 hour

The last 12 in 3 hours.

Total time = 1 hour + 3 hours

= 4 hours

unit rate for all 24 problems = total number of problems / total time taken

= 24 problems / 4 hours

= 6 problems per hour

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If they are parallelogram

2x/10=4y

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7 0
3 years ago
Use a scale of 2km to 1cm to find the length of a road
noname [10]
<h2>First Question:</h2><h3>Given: </h3>

2 km = 1 cm

<h3>To Find:</h3>

The length of the road of 15 km.

<h3>Solution:</h3>

2 km = 1 cm

1 km = 1/2 = 0.5 cm

15 km = 0.5 × 15 = 7.5

<h2>Answer: </h2>

The length of the road is <u>7.5 cm</u>.

Therefore, <u>Option D. 7.5 cm</u> is correct.

8 0
3 years ago
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

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2 years ago
What would she have had to pay at the regular ?
vlabodo [156]
Well it depends. what the problem
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3 years ago
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ivann1987 [24]

Answer:

The constant of proportionality is 3.

Step-by-step explanation:

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2 years ago
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