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cestrela7 [59]
3 years ago
6

Choose what the expressions below best represent within the context of the word problem.

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Numbers are 5 and 7

Step-by-step explanation:

  • Step 1: Let the two consecutive odd integers be x and x + 2. Their sum = 12

x + x + 2 = 12

2x + 2 = 12

2x = 10

x = 5

and x + 2 = 7

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How much metal did they use to cover the ramp, including the bottom?
Ad libitum [116K]
<h3>Answer:  1.79 square meters</h3>

Work Shown:

A = area of the triangular front face

A = base*height/2

A = 0.8*0.1/2

A = 0.04

L = lateral surface area

L = combined area of all the rectangular faces

L = (perimeter of the triangular face)*(depth of the prism)

L = (0.1+0.8+0.81)*(1)

L = 1.71

SA = total surface area of the triangular prism

SA = 2*A+L

SA = 2*0.04+1.71

SA = 1.79 square meters

6 0
2 years ago
Read 2 more answers
How many digits in hex do you need to represent integers up to 1, 000?
shepuryov [24]
You can convert 1000 to hex and see how many digits that requires:

1000_{10}=(3\cdot16^2+14\cdot16+8)_{10}=3\mathrm e8_{16}

So every integer below 1000 needs up to 3 digits.

Alternatively, we know that 16^2=256, and that 16^n requires n+1 digits in its hex representation (e.g. 16_{10}=10_{16}). Taking the logarithm, we get \log_{16}16^2=2, and adding 1 gives the number of digits needed to represent 16^2. Similarly,


\lfloor\log_{16}1000\rfloor+1=3
8 0
3 years ago
Triangles IJK and LMN are similar. Find y using proportions. Explain and show all your steps.
Deffense [45]

Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:

IJ/ML = JK/MN = IK/LN

where:

IJ = x

JK = 54

IK = y

MN = 42

ML = 28

NL = 35

In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow

JK/MN = IK/LN replace by the values

54/42 = y/35 multiply both sides by 35

(54/42)(35) = y

45 = y

Hence, y = 45

4 0
1 year ago
Please help me w the answer
evablogger [386]

Answer:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

\frac{()}{(x-4)(x-5)}

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ((x - 6)(x-10)). Now one has this much of the function assembled

\frac{(x-6)(x-10)}{(x-4)(x-5)}

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

6 0
3 years ago
The Martin's want to buy a new computer. The regular price is $849. The store is offering a 20% discount and a sales tax of 6% i
topjm [15]

Answer:

20% of $849 is $169.8

849- 169.8

$679.2

6% of $679.2

40.752

$679.2 + $40.752

$719.9

so approx $720

8 0
3 years ago
Read 2 more answers
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