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77julia77 [94]
3 years ago
15

Reuben is making a replica of the US flag for his school project.

Mathematics
1 answer:
Ugo [173]3 years ago
8 0
A) The perimeter is twice the sum of length and width.
.. 2*(2.5 cm +4.75 cm) = 14.5 cm

b) (1 in)/(0.5 cm) = (flag perimeter)/(14.5 cm)
.. (14.5 cm)*(1 in)/(.5 cm) = flag perimeter
.. flag perimeter = 29 in
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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

3 0
3 years ago
Subtract 23.4 − 8.78 =_____
Alona [7]
<span>14.62 super simple, good luck with any other questions!</span>
5 0
3 years ago
Read 2 more answers
Which function is represented by the values in the table below?
lorasvet [3.4K]
Your answer should be A
7 0
2 years ago
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Let ƒ(x) = x + 1 and g(x) = 5x. Evaluate the composition (ƒ ∘ g)(–1).
Lubov Fominskaja [6]

The value of the composite function is option (D) (f ∘ g)( - 1) = - 4.

The functions are given as:

f(x) = x + 1 and g(x) = 5x.

We need to find the composite function:

(f ∘ g)( - 1).

= f (g ( - 1)

Substitute value of g(x):

= f ( 5 ( - 1))

= f ( - 5)

Substitute value of f(x):

= ( - 5 ) + 1

= - 5 + 1

= - 4

Therefore, the value of the composite function is option (D) (f ∘ g)( - 1) = - 4.

Learn more about function here:

brainly.com/question/25638609

#SPJ9

3 0
1 year ago
???????????????????????
aleksandrvk [35]
The answer is 10w.

40 divided by 4 is 10. The X and Y cancel out, leaving 4W.
6 0
3 years ago
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