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igomit [66]
1 year ago
10

The Parker family drove a total of 180 miles on the road trip. This distance is 1.5 times the distance they drove on the first d

ay. How many miles did the Parker family drive on the first day?
​
Mathematics
1 answer:
Veronika [31]1 year ago
4 0

Parker family drove 120 miles on the first day

Step-by-step explanation:

Given:

Total miles driven on the road trip= 180 miles

solution:

Lets assume the distance drove on the first day is x

The total distance covered on the road trip is 180 miles.  so,

(x) *1.5 = 180

x=\frac{180}{1.5}

Hence, x = 120.

The distance travelled on the first day is 120 miles.

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Let’s play Pick-A-Ball with replacement! There are 10 colored balls: 3 red, 4 white, and 3 blue. The balls have been placed into
Anettt [7]

Answer:

0.48

Step-by-step explanation:

There are 10 colored balls: 3 red, 4 white, and 3 blue.

You selected 2 balls at random. They may be

RR, WW, BB, RW, RB, WB, WR, BR, BW.

To find the probability of selecting the color of ball that you just selected, find this probability in each of previous cases:

RR: (One red ball left and 8 balls left in total)

P_{RR}=\dfrac{3}{10}\cdot \dfrac{2}{9}\cdot \dfrac{1}{8}=\dfrac{1}{120}

WW: (Two white balls left and 8 balls left in total)

P_{WW}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{2}{8}=\dfrac{1}{30}

BB: (One blue ball left and 8 balls left in total)

P_{BB}=\dfrac{3}{10}\cdot \dfrac{2}{9}\cdot \dfrac{1}{8}=\dfrac{1}{120}

RW: (Two red and three white balls left and 8 balls left in total)

P_{RW}=\dfrac{3}{10}\cdot \dfrac{4}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

RB: (Two red and two blue balls left and 8 balls left in total)

P_{RB}=\dfrac{3}{10}\cdot \dfrac{3}{9}\cdot \dfrac{4}{8}=\dfrac{1}{20}

WB: (Two blue and three white balls left and 8 balls left in total)

P_{WB}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

WR: (Two red and three white balls left and 8 balls left in total)

P_{WR}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

BR: (Two red and two blue balls left and 8 balls left in total)

P_{BR}=\dfrac{3}{10}\cdot \dfrac{3}{9}\cdot \dfrac{4}{8}=\dfrac{1}{20}

BW: (Two blue and three white balls left and 8 balls left in total)

P_{BW}=\dfrac{4}{10}\cdot \dfrac{3}{9}\cdot \dfrac{5}{8}=\dfrac{1}{12}

In total, the probability of selecting the color of ball that you just selected is

\dfrac{1}{120}+\dfrac{1}{30}+\dfrac{1}{120}+2\cdot\dfrac{1}{12}+2\cdot \dfrac{1}{20}+2\cdot \dfrac{1}{12}=\\ \\=\dfrac{1}{120}+\dfrac{4}{120}+\dfrac{1}{120}+\dfrac{20}{120}+\dfrac{12}{120}+\dfrac{20}{120}=\dfrac{58}{120}=\dfrac{29}{60}\approx 0.48

3 0
1 year ago
Each month Liz pays $35 to her phone company just to use the phone. Each text she sends costs her an additional $0.05. In March
olchik [2.2K]
First let's set up an equation: 35+0.05t. 
35 is the phone rate per month plus the number of texts (t) times 0.05 (cost of 1 text)

Now we can find the amount of texts she sent each month.

March
 35+0.05t=72.60
-35               -35
0.05t=37.60
------   -------
0.05    0.05
t=752

April
 35+0.05t=65.85
-35            -35
0.05t=30.85
------   -------
0.05    0.05
t=617

She sent 752 texts in March and 617 texts in April.


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1 year ago
Raj is visiting the United States and needs to convert 2000 rupees to US dollars
Stells [14]

Answer:

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Step-by-step explanation:

1 unit rupee =  0.01594 USD

It is given that,

Raj is visiting the United States and needs to convert 2000 rupees to US dollars

<u>Convert 2000 rupees to USD</u>

To find USD we have to multiply rupees with 0.01594

USD = 2000*0.01594

USD = $31.88

Therefore Raj will have $31.88 USD

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Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of
Whitepunk [10]

If the three integers are a,b,c, then we have

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We can combine the fractions on the left side:

\dfrac{bc}{abc}+\dfrac{ac}{abc}+\dfrac{ab}{abc}=\dfrac{bc+ac+ab}{abc}=1

\implies abc=bc+ac+ab

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Answer:

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