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3 years ago

5. Jose constructed Triangle DCE, where m2D = 103 and mC = 22. Remy constructed triangle PQT, where

Mathematics

1 answer:

Aneli [31]3 years ago

6 0

Answer:

I voted b, the grade still hasn't come back yet...

Step-by-step explanation:

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What fraction of 150 gallons is 189 l? Give your answer in simplest form. 1 gallon = 4.5 l.

lys-0071 [83]

Answer:

$\frac{25}{7}$

Step-by-step explanation:

Given:

1 gallon = 4.5 liters

Question asked:

What fraction of 150 gallons is 189 liters ?

Solution:

First of all we will convert gallons to liters:-

1 gallon = 4.5 liters

150 gallons = 4.5 $\times$ 150 = 675 liters

Now, to know the fraction :-

675 gallons $\div$ 189 liters

$=\frac{675}{189} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =\frac{75}{21} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =\frac{25}{7}$

Therefore, 150 gallons (675 liters) is $\frac{25}{7}$ of 189 liters.

5 0

3 years ago

Read 2 more answers

Assume that the probability of a driver getting into an accident 5.3% and the average cost of an accident is $16,806.25 and the

PSYCHO15rus [73]

Answer:

Step-by-step explanation

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6 0

3 years ago

Read 2 more answers

The larger of two numbers is 2 more than four times the smaller. Their sum is 67. Find the numbers.

harkovskaia [24]

X = 2 + 4y
67 = x + y

67 = (2 + 4y) + y = 2 + 5y
65/5 = 13 = y
67 - 13 = x = 54.
x = 54
y = 13.

6 0

3 years ago

What is the inverse function of y = √ x − 1 2 , x ≥ 1 2a. y=x2−14,x≥0 b. y=x2−12,x≥0 c. y=x2+12,x≥0 d. y=x2+14,x≥0

hammer [34]

The function is :

y = √(x-12), x≥12

To find the inverse function, we interchange x and y, and then make y the subject again.

So interchanging x and y we have:

x = √(y-12)

Squaring both sides gives;

x² = y-12

Now making y the subject we have,

y = x² +12

x≥0.

Therefore the inverse function is;

y = x² +12, x≥0.

Hence the correct answer is C.

7 0

4 years ago

Someone please help me out please!!!!

Tom [10]

Given:

A committee of 6 members is to be chose from the 100 members of the U.S. senate.

To find:

The number of ways to form a committee.

Solution:

We have,

Total number of members = 100

Number of members needs to selected of committee = 6

Number of ways to select r items from total n items is

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Number of ways to select 6 members from total 100 members is

$^{100}C_6=\dfrac{100!}{6!(100-6)!}$

$^{100}C_6=\dfrac{100\times 99\times 98\times 97\times 96\times 95\times 94!}{6\times 5\times 4\times 3\times 2\times 1\times 94!}$

$^{100}C_6=\dfrac{100\times 99\times 98\times 97\times 96\times 95}{6\times 5\times 4\times 3\times 2\times 1}$

$^{100}C_6=1192052400$

Therefore, the total number of ways to form a committee is $^{100}C_6$ , i.e., equal to $1192052400$ .

4 0

3 years ago