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Rom4ik [11]
3 years ago
13

A model is made of a car. The car is 5 feet long, and the model is 8 inches long. What is the ratio of the length of the car to

the length of the model?
8:5

15:2

2: 15

5:8
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0
The answer is 5:8. Hope this helps!
GaryK [48]3 years ago
6 0
5 feet equals 60 inches. (length of the car)
8 inches=8 inches. (length of the model)
60:5 or 60/5 = 12

The problem is that there isn't 12 as a choice.

Hope this helped though☺☺



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{HIGH PAYOUT} Can someone help by showing work on how to get to answer?
Gala2k [10]

Let's assume each line is one toothpick.

In figure 1, there is a square made out of the 4 toothpicks.

In figure 2, there are four squares made. However, the 4 four toothpicks were already used, so we don't count them twice. That gives 4 (that were used) + 3 (the new ones on the left) + 3 (new ones on top) + 3 (new ones on right). We sum them up: 4 + 3 + 3 + 3 = 13.

In figure 3 there are nine squares made. We have the 13 squares made, plus 3 on the left column, 2 on the left center column, 3, on the center column, 2 on the right center, and 3 on the right. We total them up. 13 + 3 + 2 + 3 + 2+ 3 = 26.

Let's look at the pattern.

<u>Figure #</u> <u># Toothpick</u>s

1 4

2 13

3 26

From figure 1 to 2, we added 9. From 2 to 3 we added 13. If we draw figure 4, we would add (from left to right) 3, 2, 2, 3, 2, 2, 3. That would be 17 toothpicks added, and 39 total. Let's go back to the table.

<u>Figure #</u> <u># Toothpick</u>

1 4

2 13

3 26

4 39

Now let's look at the sequence happening. As we add more, we increase by 9, then 13, then 17. For each row, we add the same number as the previous row and then add 4. Drawing Figure 5 would be too much, but we can conclude based on the pattern that 21 squares would be added. We can take this sequence as far as we need to. We want the 10th figure or term, so we apply the pattern and keep going until we get there.

<u>Figure #</u> <u># Toothpick</u>

1 4

2 13 <--- add 9

3 26 <--- add 13, the same 9 and 4 more

4 39 <--- add 17, the same 13 and 4 more

5 60 <--- add 21, the same 17 and 4 more

6 85 <-- add 25, the same 21 and 4 more

7 114 <-- add 29, the same 25 and 4 more

8 147 <-- add 33

9 184 <---- add 37

10 225 <-- add 41


Thus the 10th figure has 225 toothpicks.

5 0
3 years ago
noah saved $47 in june, $36 in july, and $27 in august. Then noah spent $18 on school supplies and $36 on new clothes. How much
Rashid [163]
$56
47 + 36 + 27 = 110
110 - 18 - 36 = 56
4 0
2 years ago
Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

7 0
3 years ago
Determine the quotient: 2 4/7 ÷ 1 3/6
Scilla [17]

First we must change these numbers to improper fractions:

2\frac{4}{7}=\frac{18}{7}

1\frac{3}{6}=\frac{9}{6}

So then we set it up:

\frac{18}{7} ÷ \frac{9}{6}

When we divide fractions like this, we must flip the second fraction and change the sign from division to multiplication like so:

\frac{18}{7}*\frac{6}{9}

Then we solve:

\frac{108}{63}

Then if we divide the numerator and the denominator by 9, we get:

\frac{12}{7} or, in mixed-number form, 1\frac{5}{7}.

4 0
3 years ago
Katherine worked a total of 60 hours a week. She was paid $4.50 an hour. How much money did she make a week
Masja [62]
$260.00 money was made
3 0
3 years ago
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