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vampirchik [111]
2 years ago
13

Question 6 of 9 Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 2 1 4 -mi

le path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )
Mathematics
1 answer:
oksian1 [2.3K]2 years ago
5 0

Answer:

A. 5 × ( 3 + 2 + 2 1/4 )

Step-by-step explanation:

Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1/4 -mile path.

The expression represents the total number of miles he biked is calculated as:

The number of times he rode his bike × (sum of the number of miles he biked)

= 5 × ( 3 mile + 2 miles + 2 1/4 miles)

= 5 × (3 + 2 + 2 1/4)

Therefore, Option A is the correct option

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David sold a bicycle at a profit of 10% had he sold it for rupees 150 more, the profit would have been 15%. find the cost price
dlinn [17]

Answer:

The cost price was 3,000 rupees.

Step-by-step explanation:

A profit is an excess of the cost price you bought the bicycle at.

The original cost price as a decimal = 1.0

10% profit in excess of original cost as a decimal = 1+ 0.10 = 1.10

15% profit in excess of original cost as a decimal = 1+0.15= 1.15

And if he  sold the bicycle at 150rupees more,  he makes 15% profit;

The differential percentage = 15%-10% = 5% or 0.05

If 5% = 150 rupees

then 100% = (100*150)/5

= 15,000/5

= 3,000 rupees

<u>To verify;</u>

<em>At 15% profit it would be = 3000*1.15 =3,450 rupees</em>

<em>At 10% profit , it would be = 3000* 1.10 = 3,300 rupees</em>

<em>Difference = 3,450 -3,300 = 150 rupees</em>

Therefore, the cost price was 3,000 rupees.

3 0
3 years ago
Which equation below represents exponential decay?
8_murik_8 [283]

C. y=2(1/4)^x

B is just a linear functions and the other two aren't exponential functions

8 0
3 years ago
I need help! ASAP!!!
Arisa [49]

Answer:

<h2>S.A. = 234 mm²</h2>

Step-by-step explanation:

The formula of a surface area of a rectangular prism:

S.A.=2(lw+lh+wh)

l - length

w - width

h - height

We have l = 15 mm, w = 3 mm, h = 4 mm. Substitute:

S.A.=2(15\cdot3+15\cdot4+3\cdot4)=2(45+60+12)=2(117)=234

4 0
3 years ago
Help me solve those show work 3(2a-5)=12-7a, 27=3c-3(6-2c)and 6c-8-2c=-16
posledela
3(2a-5) = 12-7a
6a-15=12-7a
6a+7a=12+15
13a= 27

27=3c-3(6-2c)
27=3c-18+6c
27+18=3c+6c
45=9c
C=45/9
C=5

6c-8-2c=-16
6c-2c=-16+8
4c=-8
C=-8/4
C=-2
3 0
2 years ago
Find fg(x) <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202" id="TexFormula1" title="f(x
Kipish [7]

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

7 0
2 years ago
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