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4 years ago

Module 03: Project Option 1

Mathematics

1 answer:

prisoha [69]4 years ago

8 0

For #1, I have attached the number line.

For #2, I have provided two examples. One shows a different any quality symbol, and the other one shows the same based on absolute values.

For #3, you can see using the number line that -0.5 is the closest to zero.

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Please help! This is due today!

Oksanka [162]

Probably the last one
Use the equation for the area of a triangle 1/2(bxh)
Then multiply that number by 2 to get the area of the complete shape.

5 0

3 years ago

Triangle ABC and DEF are congruent. Find x.

miv72 [106K]

Δ ABC ≡ ΔDEF

⇒ ∠DEF = ∠ABC

Solve x:

x - 8 = 65

x = 73

Answer: x = 73°

4 0

3 years ago

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Use the number line below to find a fraction that is equivalent to 1/2

Yuliya22 [10]

Answer:

4/8

Step-by-step explanation:

There are an infinite number of fractions equal to 1/2, but the number line in the question has 8 spaces, and shows 1 divided into 8 pieces. Therefore, the answer to this question is likely 4/8.

(may I ask why exactly this is put as a college level problem?)

4 0

3 years ago

Read 2 more answers

Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.

butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)

and iii) and solve for x.

Therefore, $45 + ($49.45 × x) = ($56.95 × x)

45 + 49.45 x = 56.95 x

Therefore (56.95 - 49.45) x = 45

7.50 × x = 45

Therefore x = 45 ÷ 7.5 = 6

6 0

4 years ago

David hikes 21/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 mi

harkovskaia [24]

Answer:

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles

Step-by-step explanation:

Given as :

The distance cover by David = $\frac{21}{4}$ miles = 5.25 miles

The time taken by David = $\frac{1}{2}$ hours = 0.5 hours

Let the speed = x mile per hour

So, Distance = Speed × Time

A)or, Speed = $\frac{Distance}{Time}$

Or, Speed = $\frac{5.25}{0.5}$

∴ speed = 10.5 miles per hour

B) Again The Distance cover by him = 18 miles

SO, with speed 10.5 miles per hour

The Time taken by him = $\frac{Distance}{speed}$ hours

Or, Time taken by him = $\frac{18}{10.5}$ hours

∴ Time taken by him = 1.714 hours

C) Again the Time taken by him = 7 hours

So, Distance cover by him with speed 10.5 mph

Or, Distance = 10.5 mph × 7 hours = 73.5 miles

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles Answes

8 0

3 years ago