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Ad libitum [116K]
2 years ago
10

Nancy and Kevin collect coins. Nancy has x coins. Kevin has 9 coins fewer than five times the number of coins Nancy has. Write a

nd simplify an expression for the total number of coins Nancy and Kevin have.
Mathematics
1 answer:
Alexus [3.1K]2 years ago
3 0

Answer:

x + (5x-9)

Step-by-step explanation:

x stands for the number of coins Nancy has

Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9

To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9

x + (5x-9)

But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations

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A square bathroom has an area of 100m2. What is the distance from
inysia [295]

Answer:

10\sqrt{2}  meters

Step-by-step explanation:

The bathroom is in the shape of a square. The area of square is given as:

A=s^2

Where

s is the length of the side

We know area is 100, thus:

A=s^2\\100=s^2\\s=\sqrt{100} \\s=10

The side length of the square is 10 meters.

The distance from one corner to another corner is known as the "diagonal".

We use the formula below to get the distance of the diagonal:

d=\sqrt{2}s

Where

d is the length of diagonal

s is the length of side [here, 10]

THus, length of diagonal is:

d=\sqrt{2}(10)\\ d=10\sqrt{2} meters

6 0
3 years ago
Read 2 more answers
A bowl contains 10 red marbles and 10 green marbles. A woman selects marbles at random without looking at them. Assume that the
astra-53 [7]

Answer:

5 marbles

Step-by-step explanation:

Assume the first is color 1

and then the second is color 1

Now the third is color 2

The fourth is color 2

Now the 5th marble of either color will make 3 of one color

8 0
3 years ago
Find the horizontal asymptote of the function h(x)= -x^2+5x-2/x^2+2
krek1111 [17]

Answer: -1

Step-by-step explanation:

3 0
3 years ago
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Select the comparison that is correct. (2 are right) A eighty-one tenths > 8.27 B Six and seventy-nine thousandths 50.453 D 3
madreJ [45]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use cosine to find the missing value round to 2 decimal places #trigonometry
Naddika [18.5K]

Answer:

1. 17.27 cm

2. 19.32 cm

3. 24.07°

4. 36.87°

Step-by-step explanation:

1. Determination of the value of x.

Angle θ = 46°

Adjacent = 12 cm

Hypothenus = x

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 46 = 12/x

Cross multiply

x × Cos 46 = 12

Divide both side by Cos 46

x = 12/Cos 46

x = 17.27 cm

2. Determination of the value of x.

Angle θ = 42°

Adjacent = x

Hypothenus = 26 cm

Using cosine ratio, the value of x can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos 42 = x/26

Cross multiply

x = 26 × Cos 42

x = 19.32 cm

3. Determination of angle θ

Adjacent = 21 cm

Hypothenus = 23 cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 21/23

Take the inverse of Cos

θ = Cos¯¹(21/23)

θ = 24.07°

4. Determination of angle θ

Adjacent = 12 cm

Hypothenus = 15cm

Angle θ =?

Using cosine ratio, the value of θ can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/15

Take the inverse of Cos

θ = Cos¯¹(12/15)

θ = 36.87°

8 0
3 years ago
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