Mike, Luke, and Alex each own a white hat marked with the first letter of their name. Winter owns a plain red hat, which is not marked with any letter.

How many ways can the four people wear these four hats so each person is wearing a different hat, and no one is wearing a hat marked with the first letter of their name?

Answer:

[tex](-\frac{3}{7}, 0)[/tex] -- x intercept

[tex](0,3)[/tex] -- y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 3[/tex]

Required

Determine the x and y intercept

For x intercept.

Set [tex]y = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]0 = 7x + 3[/tex]

Collect Like Terms

[tex]7x = -3[/tex]

Make x the subject

[tex]x = -\frac{3}{7}[/tex]

Hence, the x intercept is: [tex](-\frac{3}{7}, 0)[/tex]

For the y intercept;

Set [tex]x = 0[/tex]

So, we have:

[tex]y = 7x + 3[/tex]

[tex]y = 7*0 + 3[/tex]

[tex]y = 0 + 3[/tex]

[tex]y = 3[/tex]

Hence, the y intercept is: [tex](0,3)[/tex]

AnswerB

Step-by-step explanation:

Answer:

(A) 490ft.

(B) 2.8 miles

Step-by-step explanation:

Important points to note:

- The limestone layer is thought or assumed to slope downward in a straight line.

- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.

- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.

(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?

The expected depth of the limestone layer is:

2 miles + 3 miles = 5 miles

220ft + 270ft = 490ft

(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?

If 490ft  ~  5 miles

then 275ft  ~  K miles

K = [275 x 5] / 490  = 2.80612245 miles

Rounding to 1 decimal place, the distance is 2.8 miles.

Answer:

15%

Step-by-step explanation:

Answer:

I only

Step-by-step explanation:

The others have irrational & unsolvable numbers!

Hope that helps!

Answer:

Step-by-step explanation:

3n + 5d = 20.25

24n + 40d = 162

8n + 8d = 38

-24n - 24d = -114

24n + 40d = 162

-24n - 24d = -114

—————————

16d = 48

d = 3

A drive costs $3

3n + 5(3) = 20.25

n = 1.76

A notebook costs $1.75

Answer:

that is a cute dog

Step-by-step explanation:

1. very fluffy

2. small

3. sleeping

4. teddy bear dog :D

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

For simplicity’s assume;

D = number of dogs cages, C = number of cats cages,

R = number of rabbits cages.

Since, The dogs and the cats cages are the same number,

We can say, C = D.

Only one fourth as many cages for rabbits,

So, we can formulate,

R = 1/4D

Since, A new animal hospital is planning to purchase a total of 36 cages for dogs, cats, and rabbits.

2D + 1/4D = 36

Combine like terms and get the same denominator;

9/4D = 36

9D = 144

D = 16

So,

Number of dogs cages = 16

Number of cats cages = 16

And, Number of rabbits cages = 36 - (16 + 16)

                                                = 36 - 32

                                                = 4

Thus,

Number of dogs cages = 16

Number of cats cages = 16

Number of rabbits cages = 4

Learn more about the mathematical expression visit:

https://brainly.com/question/28374179

#SPJ5

Answer:

x=1/4 , y=-1/4. You can confirm this by substituting the numbers in.

Step-by-step explanation:

Answer:

1.11

Step-by-step explanation:

Answer:

1.11

Step-by-step explanation:

12.21/11 is equal to 1.11

to check with multiplication, 1.11*11 = 12.21

Answer:

x^2+5x-9

Step-by-step explanation:

First multiply 6x2 because that's a number that isn't solved in the parenthesis.

(x^2+5x-4) - (12-7)

Then you subtract 12-7 which equals 5.

(x^2+5x-4)-(5)

You now take the parenthesis off

x^2+5x-4-5

-4-5 equals -9

Now you get the answer: x^2+5x-9

Answer:

-5x² + 5x + 3

Step-by-step explanation:

Answer:

a. The initial amount of money that was left in this savings account was of 5000.

b. Decrease of 2% each year.

Step-by-step explanation:

Exponential function:

An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In this question, we have:

[tex]y = 5000*(0.98)^x[/tex]

a. What was the initial amount of money that was left in this savings account?

This is y(0) = 5000

The initial amount of money that was left in this savings account was of 5000.

b. What is the percent of change each year in this savings account?

First as a decimal.

1 - r = 0.98

r = 1 - 0.98

r = 0.02

So a decrease of 2% each year.

Answer:

150m

Step-by-step explanation:

[tex]Length=120-(-30)=120+30=150m[/tex]

Answer:

$3

Step-by-step explanation:

45/3=15

15/5=3

Answer:

hope it helped have a good day mate

Step-by-step explanation:

12° + x° = 90°

x. = 90 - 12

x =78°

Answer:

Step-by-step explanation:

V = πr²h

1014π = πr²·6

r² = 1014/6 = 169

r = 13 cm

Answer:

A is 13

B is 5

C is 0.25

And D is 4.58 or 4.6

Good Luck!

Answer:

A) 0.2 + 7.9 + 3.8 + 1.1 = 13

B) -5.6 + 5 + 4.6 + 1 = 5

C) 3 1/6 - 4 3/4 + 1 5/6 = 1/4

D) 2 1/12 + 3 1/6 - 1 1/12 = 4 1/6

Step-by-step explanation:

A) 0.2 + 3.8 = 4... 7.9 + 1.1 = 9... 4 + 9 = 13

B) 4.6 + 1 = 5.6... 5.6 - 5.6 = 0... 0 + 5 = 5

C) 3 1/6 + 1 5/6 = 5. 5 - 4 3/4 = 1/4

D) 2 1/12 - 1 1/12 = 1. 1 + 3 1/6 = 4 1/6

Answer:

z=[tex]\sqrt{14^{2} -5^{2} }[/tex]

z=13.08

(5)[tex]\sqrt{171}[/tex]=14x

x=4.67

y=[tex]\sqrt{5^{2} -4.67^{2} }[/tex]

y=1.79

if it helps, please give me brainliest

Answer:

3.5 hours

Step-by-step explanation:

227.5÷65=3.5

Answer: kimi is 22

Step-by-step explanation:

Answer:

Kimi is 11 years old

Step-by-step explanation:

We can read 'twice Kimi's age' as Kimi's age times 2 and

'14 years younger' as  minus 14.

Our equation is

2(Kimi's age)-14= Marcus' age

Since Marcus is 8:

2(Kimi's age)-14= 8

Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.

First we add 14 to both sides

2(Kimi's age)-14(+14)= 8(+14)

2(Kimi's age)= 22

Then we divide by 2

2(Kimi's age)/2= 22/2

Kimi's age=11

Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.

Answer:

140 by the number like I know this

Step-by-step explanation:

I did the test

Answer: (-4,-7)

Step-by-step explanation:

The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.

-6 + -2 = -8

-8+-6=-14

-8 divided 2 = -4

-14 divided 2 = -7

(-4,-7)

Answer:

5m + 4

Step-by-step explanation:

First, use the distributive property to open the parentheses.

2(2m + 2) + m = _m + 4

4m + 4 + m = _m + 4

Simplifiy:

5m + 4

Hope this helps!

Answer:

5m+4

Step-by-step explanation:

open up the bracket

that will be 4m+4+m   (since 4m and m are alike we can add them together)

5m+4

if this helped please give me brainlest

Answer:

(-4,-5)

Step-by-step explanation:

1. Image is the points after the transformation

2. Pre-Image is the original points

3. our x value is left to right and our y value is up and down (x,y)

4. Our points are (-4,2)

5. They first want us to translate three units up, so we add to our y value (y is up and down)

6. 2+3 = 5

7. Our new points are (-4,5)

6. Now we are asked to reflect over the x axis. Remember their are a lot of rules concerning reflections. For a reflection across x-axis our equation is this : (x,y) → (x,-y)

7. (-4,5) → (-4,-5)

8. (-4,-5) is our answer

Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Step-by-step explanation:

Let p represent the proportion of all households in the city that gave a charitable donation in the past year.

Reseracher wants to check whether p > 50% or p > 0.5

Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.

So Null hypothesis: [tex]H_o: p=0.5[/tex]

Alternative hypothesis: [tex]H_a:p>0.5[/tex]

The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Answer:

16 easy

Step-by-step explanation:

Answer:

If he walks 7/10 miles to school, and you want to find 5/8 of that distance, you have to multiply the 2 fractions together. So he has walked 7/16 miles when he has covered 5/8 of the distance to school. thank me later

Step-by-step explanation:

H0 : µ ≤ 26.9

Ha : µ > 26.9

a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.

b. type 1 error happens when we reject a true null hypothesis.

this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.

the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.

c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9

the consequence is that it would be harder to accept a true h0 at a high level of significance

Answer:idl

Step-by-step explanation:

rjrng