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Vika [28.1K]
3 years ago
12

Devon studied the composite figure. A rectangular prism with length of 20, width of 34, and height of 9. A triangular prism with

triangular sides with a base of 20 and height of 24. The rectangular sides have a length of 34 and height of 26. He believed the surface area, in square units, could be found by simplifying the expression 2 ((9) (20)) + 2 ((9) (34)) + (34) (20) + 2 (one-half (20) (24)) + 2 (one-half (34) (26)). What error did Devon make? He used 26 instead of 24 as the slant height of one set of lateral faces. He omitted the rectangle where the upper and lower solids join together. He included the 34 by 20 base of the figure. He believed the upper part of the figure was a pyramid instead of a prism.
Mathematics
1 answer:
olasank [31]3 years ago
6 0

Answer:

here u go

Step-by-step explanation:

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3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than
IRISSAK [1]

Answer:

Sophie has 12.5 cards

Step-by-step explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A  

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number

5 0
3 years ago
Mrs. Heath baked 56 cookies. She put an equal number of cookies into 7 bags. How many cookies did she put in each bag?
katen-ka-za [31]

Answer:

8

Step-by-step explanation:

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6 0
2 years ago
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Which expression is equivalent to 2x2 + (4x - 6x2) + 9 - (6x + 3)?​
Troyanec [42]

Answer:

-4x^2-10x+6

Step-by-step explanation:

I am going to assume the (Something)x2 means (Something)x^2. Then, the expression is 2x^2-6x^2\\+4x-6x+9-3=-4x^2-10x+6

4 0
3 years ago
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You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to th
nikklg [1K]

Answer:

y = (100-10x)\%

It takes <em>10 minutes</em> to the park.

Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance y, that still needs to be traveled after x minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = \frac{60\%}{6} = 10%

After 1 minute, distance traveled = 10%

Distance left = 100 - 10 = 90%

After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After x minutes, distance traveled = 10x%

Distance left, y = (100 - 10x)%

Therefore, the equation is:

y = (100-10x)\%

Time taken by the bike to reach to the park can be found by putting y = 0 (i.e. distance left to be traveled = 0)

0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}

8 0
3 years ago
What is the answer to this question?
steposvetlana [31]

Answer:

48x - 40y +24

Step-by-step explanation:

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