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Andrei [34K]
3 years ago
13

Carrie needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile.

Mathematics
2 answers:
Gwar [14]3 years ago
5 0
Answer:
Maximum distance covered by Carrie = 22.8 miles
Step-by-step explanation:
The cab company charges a flat fee of $2.25 plus $0.55 per mile.
Amount of money Carrie has = $y
Let the number of miles traveled in $y = x miles
If Carrie finds a cab charging same fee and $0.45 per mile,
y ≤ 2.25 + 0.45x
y - 2.25 ≤ 0.45x

Therefore, inequality representing the maximum distance covered by Carrie,

If, y = $12.52

x ≤ 22.8 miles
Therefore, Carrie will be able to travel the maximum distance = 22.8 miles.
baherus [9]3 years ago
3 0

Answer:

27.8 miles

Step-by-step explanation:

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Show that 5 2/3 - 3 4/5 = 1 13/15
topjm [15]

Answer:

True both are 28/15

Step-by-step explanation:

Simplify the following:

5 + 2/3 - (3 + 4/5)

Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:

5 + 2/3 - (5×3)/5 + 4/5

5×3 = 15:

5 + 2/3 - (15/5 + 4/5)

15/5 + 4/5 = (15 + 4)/5:

5 + 2/3 - (15 + 4)/5

15 + 4 = 19:

5 + 2/3 - 19/5

Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:

(15×5)/15 + (5×2)/15 + (3 (-19))/15

15×5 = 75:

75/15 + (5×2)/15 + (3 (-19))/15

5×2 = 10:

75/15 + 10/15 + (3 (-19))/15

3 (-19) = -57:

75/15 + 10/15 + (-57)/15

75/15 + 10/15 - 57/15 = (75 + 10 - 57)/15:

(75 + 10 - 57)/15

| 7 | 5

+ | 1 | 0

| 8 | 5:

(85 - 57)/15

| 7 | 15

| 8 | 5

- | 5 | 7

| 2 | 8:

Answer: 28/15

______________________________________

Simplify the following:

1 + 13/15

Put 1 + 13/15 over the common denominator 15. 1 + 13/15 = 15/15 + 13/15:

15/15 + 13/15

15/15 + 13/15 = (15 + 13)/15:

(15 + 13)/15

| 1 | 5

+ | 1 | 3

| 2 | 8:

Answer: 28/15

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2^5

explanation:

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aev [14]

Hey ! there

Answer:

  • <u>1</u><u>1</u><u>3</u><u>.</u><u>0</u><u>4</u><u> </u><u>unit </u><u>cube</u>

Step-by-step explanation:

In this question we are provided with a sphere <u>having</u><u> </u><u>radius </u><u>3 </u><u>units </u>and <u>value </u><u>of </u><u>π </u><u>is </u><u>3.</u><u>1</u><u>4</u><u> </u><u>.</u><u> </u>And we're asked to find the<u> </u><u>volume</u><u> of</u><u> </u><u>sphere</u><u> </u><u>.</u>

For finding volume of sphere , we need to know its formula . So ,

\qquad \qquad \: \underline{\boxed{ \frak{Volume_{(Sphere)} =  \dfrac{4}{3} \pi r {}^{3} }}}

<u>Where</u><u> </u><u>,</u>

  • π refers to <u>3.</u><u>1</u><u>4</u>

  • r refers to <u>radius</u><u> of</u><u> sphere</u>

<u>Sol</u><u>u</u><u>tion </u><u>:</u><u> </u><u>-</u>

Now , we are substituting value of π and radius in the formula ,

\quad \longrightarrow \qquad \: \dfrac{4}{3}   \times 3.14 \times (3) {}^{3}

Simplifying it ,

\quad \longrightarrow \qquad \: \dfrac{4}{3}  \times 3.14 \times 3 \times 3 \times 3

Cancelling 3 with 3 :

\quad \longrightarrow \qquad \: \dfrac{4}{ \cancel{3}}  \times 3.14 \times 3 \times 3 \times  \cancel{3}

We get ,

\quad \longrightarrow \qquad \:4 \times 3.14 \times 9

Multiplying 4 and 3.14 :

\quad \longrightarrow \qquad \:12.56 \times 9

Multiplying 12.56 and 9 :

\quad \longrightarrow \qquad \:    \pink{\underline{\boxed{\frak{113.04  \: unit \: cube}}}} \quad \bigstar

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<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

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Answer:

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Step-by-step explanation:

0 \leq  x \leq  50

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