An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the bedroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft

Hi there!

2|x - 1| + 5 < 13

Begin by subtracting 5 from both sides:

2|x - 1| < 8

Divide both sides by 2:

|x - 1| < 4

Find both the positive and negative solutions:

x - 1 < 4

x < 5

-(x - 1) < 4

-x + 1 < 4

-x < 3

x > -3

[tex]Hello[/tex] [tex]There![/tex]

Let's solve your inequality step-by-step.

[tex]2(|x-1|)+5<13[/tex]

Step 1:

You must add -5 both sides.

[tex]2(|x-1|)+5+-5<13+-5[/tex]

[tex]2(|x-1|)<8[/tex]

Step 2:

You must divide both sides by 2.

[tex]\frac{2(|x-1|)}{2}[/tex] [tex] \leq \frac{8}{2}[/tex]

[tex]|x-1|<4[/tex]

Step 3:

Solve the Absolute Value.

[tex]|x-1|<4[/tex]

We know that x−1<4 and x−1>−4.

[tex]x-1<4[/tex] Condition 1.

[tex]x-1+1<4+1[/tex] (Add 1 to both sides)

[tex]x<5[/tex]

[tex]x-1>-4[/tex] (Condition 2)

[tex]x-1+1>-4+1[/tex] (Add 1 to both sides)

[tex]x>-3[/tex]

[tex]ANSWER![/tex]

[tex]x<5[/tex] [tex]and[/tex] [tex]x>-3[/tex]

Hopefully, this helps you!!

[tex]AnimeVines[/tex]

Answer:

Step-by-step explanation:

To solve this divide the amount of sugar by the number of dollars:

Per 10dollar she brought=19pounds

Per dollar

[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]

[tex]\\ \sf\longmapsto 1.9pounds[/tex]

Answer:

200kg wt is your answer I think.

9514 1404 393

Answer:

  A.  10√7 kg wt

Step-by-step explanation:

The magnitude will be that of the long diagonal of a parallelogram that has sides 10 and 20. It must be more than 20, and cannot be 30 or more. That only leaves one answer choice:

  10√7 kg wt

Answer:

A

Step-by-step explanation:

The sum means +, 24 or greater means ≥ 24

The product means multiplying. less than 60 means < 60

I don't really know how else to explain, so if you still don't understand, sorry.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

c

Step-by-step explanation:

Answer:

-8x -6

Step-by-step explanation:

f(x) = -5x – 4

g(x) = -3x -2

(f+g)(x)  = -5x – 4  +  -3x -2

Combine like terms

            = -8x -6

Using the binomial distribution, it is found that:

0.3677 = 36.77% probability that more than 1 of these parts are defective.

-----------------

For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of a success.

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.

This means that [tex]p = 0.18[/tex]

A random sample of 7 parts produced by this machine is chosen.

This means that [tex]n = 7[/tex]

Find the probability that more than 1 of these parts are defective.

This is:

[tex]P(X \geq 1) = 1 - P(X < 1)[/tex]

In which

[tex]P(X < 1) = P(X = 0) + P(X = 1)[/tex]

Thus

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493[/tex]

[tex]P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830[/tex]

Then

[tex]P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323[/tex]

[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677[/tex]

0.3677 = 36.77% probability that more than 1 of these parts are defective.

For more on the binomial probability distribution, you can check https://brainly.com/question/15557838

Answer:

S.D=46.04

Step-by-step explanation:

steps are in the picture.

If you have question about it you can ask.Thanks

Answer:

4.06×10^-2

hope that helps uh..☺

Answer:

Ans; 0.0406 = 4.06 ×10–²

Answer:

24[tex]\sqrt{3}[/tex]

Step-by-step explanation:

KML is a special right triangle with angle measures of 90-60-30 and side lengths represented by 2a-a[tex]\sqrt{3}[/tex]-a

|KL| is given as 48 so 2a = 48 and a = 24

ML is the side length that sees angle measure 60 so it's represented with a[tex]\sqrt{3}[/tex]

since a = 24

a[tex]\sqrt{3}[/tex] = 24[tex]\sqrt{3}[/tex]

Answer:

38

Step-by-step explanation:

Put 2 in place of q

(34+18×2)-(5^2+7)

(34+36)-(25+7)

70-32=38

Answer:

x=0,2half1?(I'm

not sure)

Answer: your answer should be 10.5130

Step-by-step explanation:

Answer:

84.78 units²

Step-by-step explanation:

First we must calculate the total area of the circle :

A = pi.r²

= 3.14×36

So total area = 113.04 units²

Then we must divide this area by 4 and subtract it form the total area

113.04÷4 =28.26

The area of the shape = 113.04-28.26

= 84.78 units²

Answers:

=========================================================

Explanation:

1/6 of the total number of cartons are small. We have 264 total cartons, so,

1/6 of 264 = (1/6)*264 = 44

We need 44 small cartons.

---------------

2/3 of the total cartons are medium, so,

2/3 of 264 = (2/3)*264 = 176

There are 176 medium cartons.

---------------

So far we calculated there are 44+176 = 220 cartons from the small and medium sizes.

This must mean there are 264 - 220 = 44 large cartons

---------------

Now because:

and

This means we have

Ultimately, we have 352+2112+792 = 3256 eggs in total.

[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{3+4}{2},\dfrac{-9+8}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{7}{2},\dfrac{-1}{2}\right)[/tex]

Answer:

B

Step-by-step explanation:

we have a formula of volume:

V= 4/3*pi*R^3 = 4/3*3.14*(18/2)^3 = 3052.08

For some reason, the scores your teacher gave you and the answer choices don't match up. I'm not sure why this is. Perhaps some kind of typo. Please double check and get back to me.

Answer:

r÷12

Step-by-step explanation:

quotient means division

r÷12

Answer:

4968

Step-by-step explanation:

432 is 8% of 5400 and after deducting 432 we get 4968.

Answer:

.14

Step-by-step explanation:

The relative frequency that favors football is around 0.14, or 14%.

Given that Phoebe took a survey of her classmates' favorite sport.

We need to find the relative frequency of survey members who prefer football,

Preferred sports =

Football    baseball     basketball    tennis       others     total

     4              5                     8                 7              4          28

To calculate the relative frequency of survey members who prefer football, you need to divide the number of people who prefer football by the total number of survey respondents.

According to the table, the number of people who prefer football is 4, and the total number of respondents is 28.

Relative Frequency = Number of people who prefer football / Total number of respondents

= 4 / 28

≈ 0.14

Therefore, the relative frequency of survey members who prefer football is approximately 0.14 or 14%.

To know about frequency distribution, here

brainly.com/question/1094036

#SPJ4

Answer:

Option a

Step-by-step explanation:

Assign a value to variable x =t

Eq becomes

-4t+y=-2

y=4t-2

Answer:

126 Students

Step-by-step explanation:

First, you subtract the money from the adult tickets from the total ($880), that leaves $630.

Since each student ticket is $5, you divide $630 by 5, which equals 126.

So, 126 students attended.

Answer:

126

by-step explanation:

880 is that amount made in total.

250 were adults.

we can subtract that to simplify; 880-250= 630

Knowing that information we can assume the rest of the tickets are students.

5$ each.

5/620

How many 5s go into 630? 126.

Check your answer by multiplying 126 by 5, which = 630.

630+250=880.

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

[tex]option \: \: c \: \: \: \frac{3}{4} \: is \: the \: correct \: option[/tex]

Rational numbers are numbers which can be represent in the form of p/q where p and q are integers and q≠0 that's why 3/4 is the correct option

Answer:

18

Step-by-step explanation:

K is between Jand M. Lis

between K and M. Mis

between Kand N. If JN = 30,

KM = 8, and JK = KL = LM,

what is MJ? Mj is 18

Answer: -40 °C and -40 °F.

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

Let the temperature be x which is the same in Fahrenheit and Celsius. Then it must satisfy the Fahrenheit and Celsius conversion formula which is (Fahrenheit-32)*(5/9)=Celsius

x=(x-32)*(5/9)

9x=5x-160, x=-40

Answer:

<ADC=90

therefore AC= 20 using Pytagoras

BAC is a right angle triangle because it belongs to the Pytagoras theorem:25,20,15 i.e 25²=15²+20²

3) I DON'T THINK PQR IS A RIGHT ANGLE TRIANGLE because it doesn't belong to the Pytagoras triple.