Solve the following systems of equations. -x + y = -2 and y= -4x + 3

Answer:

Step-by-step explanation:

The area is the product of two dimensions, therefore the scale factor is:

The length of the corresponding side will be:

Answer:

c

Step-by-step explanation:

Answer:

True

100cm = 1m  ✔️

Step-by-step explanation:

The cm (centimeters) has the key word unit cent in it, which means 100. Like how a century is 100 years, 100 cents are in a dollar, there is 100 percent in 1 whole number, etc.

Based on background knowledge (or from searching it up too), every meter has a hundred centimeters, since the unit cent means 100.

Hence,

100 centimeters does equal 1 meter

Answer:

The third side of the triangle must have a length between 23 yd and 41 yd.

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:

32 - 9 < x < 32 + 9

23 < x < 41

The third side of the triangle must have a length between 23 yd and 41 yd.

Answer:

x = 5

Step-by-step explanation:

[tex] \frac{14.8}{x} + 2.4 = 5.36 \\ \\ \frac{14.8}{x} = 5.36 - 2.4 \\ \\ \frac{14.8}{x} = 2.96 \\ \\ 14.8 = 2.96x \\ \\ x = \frac{14.8}{2.96} \\ \\ x = 5[/tex]

Answer:

6

Step-by-step explanation:

area of carpet =18

the formula to calculate the area of carpet is l×b so.

l×b=18

l×3=18

3l =18

l=18/3

L=6

Answer: it’s a composite

Step-by-step explanation:

Answer: R,G,Y,B,O  

Step-by-step explanation: Sample space is just any and all possible outcomes

The sample space of the given experiment is (R,G, Y, B, O). So option A is the correct one.

A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.

The subset of the sample space are events.

Given experiment is that you randomly choose a ball from a bag which consists of 5 balls.

Balls are 1 red (R), 1 green (G), 1 yellow (Y), 1 blue (B), and 1 orange (O).

Each ball is of different color.

When you randomly choose a ball, the chosen ball can be any of the colors given.

So sample space = (R,G, Y, B, O)

Hence the required sample space is (R,G, Y, B, O).

Learn more about Sample Space here :

https://brainly.com/question/30206035

#SPJ7

Step-by-step explanation:

probability of arriving late is 4/8

probability of arriving early is

1-4/8 =4/8

probability that opposite event occurs is 4/8

Answer:

18.165%

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ

From the Question above , we are asked to find the percent of the class that will fail if the passing grade is 54.

The percent of the class that would fail is the percent of the class that has a grade less than(<) 54

Hence,

x is the raw score = 54

μ is the population mean = 64

σ is the population standard deviation = 11

For x < 11

z = 54 - 64/11

z = -0.90909

Probability value from Z-Table:

P(x<54) = 0.18165

Converting to percentage

= 0.18165 × 100

= 18.165%

Therefore, If the passing grade is 54, the percent of the class that will fail is 18.165%

Answer:

63, 946

Step-by-step explanation:

The circumference of a circle can be found using the equation 2rpi.

I like to think of this as Dpi with D being the diameter since 2r is equal to D.

42 times 3.14 is roughly 132. x times 3.14 is 198, meaning 198 divided by 3.14 is roughly 63. 301 times 3.14 is roughly 946.

Answer:she will take 10 minutes

Step-by-step explanation:

Answer:10 minutes

Step-by-step explanation: 10x10

It takes 1 minute to solve each question so 10 questions would mean it took ten minutes.

Let me know if that helps :)

Answer:

Perimeter (P) is: 48

Problem to solve:

48=2(2x+3)+2(x)

48=4x+6+2x

48=6x+6

48-6=6x+6-6

42=6x

42/6=6x/6

7=x

Step-by-step explanation:

The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.

a. 16

highlight%28b%29. 7

c. 8

d. 21

e. 24

:

Formula for the perimeter of a rectangle is: highlight%28P=2L%2B2W%29, P is perimeter, L is length, W is width.

Let Width (W) be:x

Then length (L)is: 2x+3

Answer:

180

Step-by-step explanation:

Answer:

hope it helps, twanks you (owo)

Step-by-step explanation:

Solving for X in a Right Triangle

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X

Answer:

The First one x + y = -5 the x would be -4 and the y would be -1 and for the Second one x - y = 7  The x would be -8 or -9 and the y would be -1 or -2

Step-by-step explanation:

Hope this helps you. :)      For the second one -9 - -2 = -7 and -8 - -1 =7 so either one could work.

Answer:

x = 10

Step-by-step explanation:

so first distribute the 3/4 to everything on the inside

3/4x + 1 1/2 = 9

now subtract 1 1/2 on both sides

3/4x = 7 1/2

Now divide both sides by 3/4

x = 7 1/2 divided by 3/4

x = 15/2 divided by 3/4

x = 15/2 times 4/3

x = 5/1 times 2/1

x = 10

Answer:

63

Step-by-step explanation:

Question: A restaurant gets an average of 5.3 complaints per day from its patrons. Use the Poisson distribution formula to find the probability that on a given day the restaurant will receive  exactly 4 complaints

Answer:

[tex]P(X=4) = 0.164125[/tex]

Step-by-step explanation:

Given

[tex]\bar{x} = 5.3[/tex] -- average

Required

Determine the probability of receiving 4 complaints in a day

Since, it follows a poisson distribution, the probability is calculated as:

[tex]P(X=x) = \frac{\bar{x}^x * e^{-\bar{x}}}{x!}[/tex]

In this case:

[tex]x = 4[/tex]

So, we have:

[tex]P(X=4) = \frac{5.3^4 * e^{-5.3}}{4!}[/tex]

[tex]P(X=4) = \frac{789.0481 * 0.004992}{4*3*2*1}[/tex]

[tex]P(X=4) = \frac{3.939}{24}[/tex]

[tex]P(X=4) = 0.164125[/tex]

Hence, the probability of exactly 4 complaints is 0.164125 .

Answer:

28

Step-by-step explanation:

Answer:

44.1 milliliters of lemon juice

Step-by-step explanation:

Number of teaspoons of lemon juice = 9 teaspoons

Amount of milliliters in one teaspoon = 4.9 milliliters

Amount of lemon juice = Number of teaspoons × Amount of milliliters

                                      = 9 × 4.9

                                      = 44.1 milliliters

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

x-3 = 0 ....(1)

y-5 = 0 ....(2)

We need to find the point of intersection of the lines.

Add 3 both sides in equation (1).

x-3+3=3

x = 3

Now, add 5 to both sides of the equation.

y-5+5=0+5

y = 5

Hence, the required point of intersection of the lines is x = 3 and y = 5.

Answer:

see attachment

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

first convert 1 l to ml = 1000 ml

1000 divided by 5 spoons = 200