Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Answers

Answer 1
Answer: distance travel from house to bank=x
distance travel from bank to mall=y
distance travel from mall to house=√x²+y²

total distance=|x|+|y|+√x²+y²

Answer 2
Answer:

Answer:

40 Miles is the answer

Step-by-step explanation:



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Find the area of the combined figure. A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches x 10 inches. What is the area of the figure? a 102.5 square inches b 132.5 square inches C 110.2 square inches d 140.2 square inches​

Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall. Write and evaluate an expression to find how many balloons Sarah has left.​

Answers

The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.

What is a Fraction?

A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.

The total number of packages = 8

Number of balloons in each package = 20.

The portion of balloons use to decorate hall = 1/4.

Suppose the remaining balloons are x.

Thus the expression for remaining balloons can be written as,

x = 20 × 8 - 1/4×(20 × 8)

x = 160 - 40

  = 120.

Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).

To know more about fraction click on the following link

brainly.com/question/10354322

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Answer:

(8 × 20) ÷ 4

40

Step-by-step explanation:

8 × 20 = 160

160/4 = 40

What is the inverse for this problem?

Answers

replace f(x) with y:

y = 3x +2 

interchange the variables:

x = 3y +2
 
switch the equation so the Y is on the left side:
3y +2 = x

subtract 2 from each side:
3y = x-2

divide each term by 3 to get y alone:

y = (x-2)/3

replace y with inverse of F(x) which is f^-1(x):

f^-1(x) = -(x-2)/3






An experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.(a) If any particular experiental run involves the use of single temperature, pressure, and catalyst, how many experimental runs are possible?
(b) How many experimental runs are there that involve use of the lowest temperature and two lowest pressure?

Answers

Answer:

Step-by-step explanation:

Given that an experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.

a) Experimental runs possible if use of single temperature, pressure and catalyst is there = no of temperatures x no of pressures x no of catalysts

= 3*4*5 = 60

b) Here pressure and temperature have no choice as lowest is selected.

no of methods = no of catalysts x 1 x1

= 5

How do you find an equation of the sphere with center (4,3,5) and radius √6?

Answers

Answer:

(x-4)^2+(y-3)^2+(x-5)^2=6

Step-by-step explanation:

The the center of the sphere is given as (a,b,c) and the radius is r, then the equation of the sphere would be:

(x-a)^2+(y-b)^2+(x-c)^2=r^2

From the info, we can say:

a = 4

b = 3

c = 5

r = √(6)

Plugging into formula we get the equation:

(x-a)^2+(y-b)^2+(x-c)^2=r^2\n(x-4)^2+(y-3)^2+(x-5)^2=(√(6) )^(2) \n(x-4)^2+(y-3)^2+(x-5)^2=6

Remember to use

a certian glacier moves at a rate of 28 inches a day. find the distance in feet the glacier moves in a year

Answers

10220 is the answer 28 times 365 hope i helped
10,220 is the answer because if you multiply 28 by 365 day in a year it equal that

If x= 12 and y=3, what is the value of x-y²?​

Answers

Answer:

3

Step-by-step explanation:

X=12 Y=3^2

Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3

Answer:

I believe the answer would be 3.

Step-by-step explanation:

I hope this helps