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faltersainse
1 month ago
15

We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation E=\dfrac{17}{20}DE= 20

17 ​ DE, equals, start fraction, 17, divided by, 20, end fraction, D. How many euros have the same value as 111 U.S. Dollar? euros How many U.S. Dollars have the same value as 111 euro? dollars
Mathematics
1 answer:
babunello [11.8K]1 month ago
5 0

Answer: 1 U.S. dollar  = 0.85 euro.

1 euro = 1.18 dollars.

Step-by-step explanation:

The equation presented: E=\dfrac{17}{20}D

, where 'E' represents the quantity of euros equivalent to 'D' U.S. Dollars.

With D= 1,

E=\dfrac{17}{20}=0.85\text{ euro}

meaning 1 U.S. dollar  = 0.85 euro.

With E= 1, we find

1=\dfrac{17}{20}D\\\\\Rightarrow\ D= 20/17\approx1.18\text{ dollars}

Consequently, 1 euro = 1.18 dollars.

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762,508 expanded form using exponents
Svet_ta [12734]

762,508 expressed in expanded form with exponents is:

7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0

Solution:

We need to write 762,508 using expanded notation with exponents.

Expanded form indicates how to represent numbers to highlight the individual digit values.

Displaying 762508 in Expanded format

Let's determine the positional values of each digit:

The concept of place value signifies the worth assigned to each digit based on its location.

For 7, the place value is 700,000

In 762508, the digit 7 is located in the hundred-thousands position.

For 6, the place value is 60,000

In 762508, the digit 6 occupies the ten-thousands position.

For 2, the place value is 2,000

In 762508, 2 is in the thousands position.

For 5, the place value is 500

In 762508, 5 is placed in the hundreds position.

For 0, the place value is 0 x 10 = 0

In 762508, 0 is found in the tens position.

For 8, the place value is 8

In 762508, 8 is positioned in the units place.

Thus, the expanded form is:

700,000 + 60,000 + 2,000 + 500 + 0 + 8

Expressed with exponents, it can be written as:

7 \times 10^5 + 6 \times 10^4 + 2 \times 10^3 + 5 \times 10^2 +0 \times 10^1 + 8 \times 10^0

6 0
1 month ago
Isabella built a time travel machine, but she can't control the destination of her trip. Each time she uses the machine she has
babunello [11817]

The likelihood that at least one trip occurs before Isabella's birth is 0.7627.

Step-by-step explanation:

In this scenario, Isabella has invented a time machine, but she lacks control over where she travels. Each use of the device holds a 0.25 probability of leading her to a time preceding her birth. Over the initial year of trials, she operates her machine 5 times. If we assume every journey has an equal chance of going back in time, we can calculate the odds that at least one of these trips occurs before she was born. Here's the calculation:

The probability of traveling to a time prior to her birth is 0.25.

The chance of not traveling back in time, given that the machine is used 5 times:

⇒ (1-0.25)(1-0.25)(1-0.25)(1-0.25)(1-0.25)

⇒ (1-0.25)^5

⇒ (0.75)^5

The probability that at least one trip goes before Isabella's birth is equal to 1 minus the probability of not traveling back to that period:

⇒ 1-(0.75)^5

⇒ 0.7627

Consequently, the chance that at least one trip travels before Isabella's birth is 0.7627.

4 0
1 month ago
Read 2 more answers
Stanley is building a rectangular fence with 44 feet of fencing. If the width is two less than half the length, what is the widt
Zina [12379]

Response:

The fence's width is 6 feet.

Detailed explanation:

To start, let’s define some variables.

Let the width of the fence be denoted as w, and the length as l.

Next, determine the length: the width is 2 feet less than half of the length.

w = l/2 - 2

Alternatively, l/2 can be expressed as w + 2, leading to l = 2(w + 2).

The total perimeter of the fence is 44 feet. The perimeter for a rectangle can be calculated using the formula:

P = 2(l + w)

Inserting what we know:

P = 44 and l = 2(w + 2)

44 = 2(2(w+2) + w)

44 = 2(2w + 4 + w)

44 = 2(3w + 4)

44 = 6w + 8

6w = 36

w = 36/6

w = 6 feet

6 0
1 month ago
Select all the expressions that are equivalent to –25(15 – 20d + 5c).
PIT_PIT [12445]
Are there options available for this question?
5 0
21 day ago
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (
AnnZ [12381]

Answer:

B. Located at the intersection of 10th Street and 17th Avenue.

Step-by-step explanation:

The point (x,y) that divides segment AB with endpoints at A(x_1,y_1) and B(x_2,y_2) in the specified ratio m:n has coordinates

x=\dfrac{nx_1+nx_2}{m+n}\\ \\y=\dfrac{ny_1+ny_2}{m+n}

In this scenario,

T(4,8)

L(12,20)

The fruit market (F) is located three-fourths of the way from Tia’s residence to Lei's residence, hence TM:TL=3:4 or TM:ML=3:1

Therefore,

x=\dfrac{1\cdot 4+3\cdot 12}{3+1}=\dfrac{4+36}{4}=\dfrac{40}{4}=10\\ \\y=\dfrac{1\cdot 8+3\cdot 20}{3+1}=\dfrac{8+60}{4}=\dfrac{68}{4}=17

Thus, the fruit market lies at the location F(10,17) meaning it’s situated at the intersection of 10th Street and 17th Avenue.

9 0
22 days ago
Read 2 more answers
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