Lucia buys a backpack that is 30% off. The original price was $39.99.

Which statements are correct?


Select all that apply.



1 You do not need to round to find the discount.


2 The discount is equal to 30100⋅39.99.The discount is equal to 30100⋅39.99.


3 The discount is less than the original price.


4 30% written as a decimal is 3.0.30 percent written as a decimal is


5 The discount is equal to 39.99⋅30.The discount is equal to 39.99⋅30.


6 The discount is $12.00.

Answer: 1 hour and 50 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can someone tell me what happens in 2 hours

Answer:

red line

the red line has a slope of -1 by looking at the coordinates,

it also intersects the given point (1,-1)

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

Answer:

y= -5x-25

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...

Therefore, we substitute the value for the given equation

10 = -5*-7 + b

10 = 35 + b

b = 10 - 35

b = -25

Therefore we substitute the value for m and b to the equation of line

y = -5x - 25

Answer:

D. First, add 32 to both sides, then divide by -16 and flip the sign

Step-by-step explanation:

Taking that the inequality is -16k-32>-48

First you have to get rid of any addition or subtraction, in this case you have to get rid of -32 by adding 32 to each side:

-16k-32+32 > -48 +32

Then you need to divide by -16 and flip the sign because you are dividing by a negative number and if you don't flip the sign the inequality will be false.

[tex]\frac{-16k}{-16} <\frac{-16}{-16}[/tex]

[tex]\sf \longmapsto \frac{1}{5} x + \frac{1}{2} > \frac{4}{5} [/tex]

[tex]\sf \longmapsto \frac{1}{5} x + \frac{1}{2} - \blue{\frac{1}{2 }}> \frac{4}{5} - \blue{ \frac{1}{2} }[/tex]

[tex]\sf \longmapsto \frac{1}{5} x > \frac{3}{10} [/tex]

[tex]\sf \longmapsto5 \times ( \frac{1}{5} x) > 5 \times ( \frac{3}{10} )[/tex]

[tex]\sf \longmapsto x > \frac{3}{2} [/tex]

[tex] \boxed{\sf \: x > \frac{3}{2} }[/tex]

Answer:

y=x+11；

Step-by-step explanation:

Let's say the direct equation is y=kx+b;

Plug in the two points to get the system：

[tex]\left \{ {{16=5k+b} \atop {18=7k+b}} \right.[/tex]

So k is equal to 1, b is equal to 11，

so y=x+11；

Step-by-step explanation:

= (x - 3)(2x² - 5x + 1)

= 2x³ - 5x² + x - 6x² + 15x - 3

= 2x³ + (-5 - 6)x² + (1 + 15)x - 3

= 2x³ - 11x² + 16x - 3

Option → C

The product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

The product of two polynomials is simply the multiplication of both polynomials together.

Given:

(x − 3)(2x² − 5x + 1)

Multiply using the distributive property

x(2x² − 5x + 1) -3(2x² − 5x + 1)

2x³ - 5x² + x - 6x² + 15x - 3

Combine like terms

2x³  - 11x² + 16x - 3

Therefore, the product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

Learn more about polynomials on:

https://brainly.com/question/2833285

Answer:

D

Step-by-step explanation:

According to the Pythagorean theorem, if you call the 2 legs of a right triangle a and b respectively and call the length of the hypotenuse c, you have:

[tex]a^{2} + b^{2} = c^{2}[/tex]

=> [tex]36^{2} + 10^{2} =[/tex] [tex]hypotenuse ^{2}[/tex]

=> 1396 = [tex]hypotenuse ^{2}[/tex]

=> hypotenuse = [tex]\sqrt{1396}[/tex] (inch)

=> Answer D

Answer:

sin 2θ = -24/25

Step-by-step explanation:

see the below formula of sin x  in terms of tan x

by substituting => -4/3   /  ± √(16/9 + 1)

=> -4/3   /  ± √(25/9)

=> -4/3   / ±  5/3

=> ± -4/5

=> ± 4/5

as theta is in second quadrant is in 2nd quadrant sin value is positive

so sin θ = 4/5 and cos θ = -3/5

now sin 2θ = 2 sinθcosθ

= 2 * 4/5 * -3/5

= -24/25

Answer:

12<x<22

Step-by-step explanation:

Answer:

the first, second and fifth ones

Step-by-step explanation:

Answer:

B - A = 4x - 10

Step-by-step explanation:

B - A

= 9x - 6 - (5x + 4) ← multiply terms in parenthesis by - 1

= 9x - 6 - 5x - 4 ← collect like terms

= 4x - 10

Answer:

4x-10

Step-by-step explanation:

☞ 9m

☞ 16m

Formula: A = lw

Whereas:

A = area

l = length

w = width

[tex]a = lw \\ 9 \times 16 \\ a = 144m[/tex]

[tex]\huge\color{pink}\boxed{A = 144m}[/tex]

Answer:

B

Step-by-step explanation:

Because it starts from the smallest negative prefix to largest

Answer:

The price was dropped around 15%

Step-by-step explanation:

You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.

Answer:

x = 1.6 , y = 13.8

Step-by-step explanation:

y - 3x = 9 ( add 3x to both sides )

y = 9 + 3x → (1)

7x + y = 25 → (2)

Substitute y = 9 + 3x into (2)

7x + 9 + 3x = 25

10x + 9 = 25 ( subtract 9 from both sides )

10x = 16 ( divide both sides by 10 )

x = 1.6

Substitute x = 1.6 into (1)

y = 9 + 3(1.6) = 9 + 4.8 = 13.8

Answer: -1

Step-by-step explanation: 4 + (-3) = 1             1 + (-2) = -1

Answer:

Step-by-step explanation:

6^2+ (59 - 4 ) = 36 + 55 = 91

I'm taking this to mean 11*2 If I am wrong leave a note.

11*2 = 22

91 / 22 = 4.14

Answer:

same thing as adding 3/5 +3/5

total number of parts in a rectangle is 5

the product is 6/5 or 1 1/5

Answer: 1/4

Step-by-step explanation:

He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!

Your welcome :)

Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

Given that,
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total length of the wall = 21 3 / 8 = 21 . 375
Width of tile = 4 1/2 = 4.5
Now, the ratio of wall to tile = 21. 375 / 4.5
quotient = 18 Remainder = 3.375
Now the ratio of the remainder to the tile = 3.375 / 4.5 = 0.75 or  3 / 4.

Thus, Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Answer:

Step-by-step explanation:

You just need tp translate what is written in the two- column proof into paragraph.

Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.

We don't perform any of addition,  division or multiplication operations. We just compare the angle measures and come to conclusion.

This is best described in the paragraph C

Answer:

9.75

Step-by-step explanation:

|-6|+|15|=6+15=21

-6+3/4*21

-6+63/4

-6+15.75

9.75

Answer:a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.

Step-by-step explanation:

b) ∠CDB = 120° because 180° - 60° = 120°

Answer:15

Step-by-step explanation:

x=180-(110+55)=15

Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

3156 out of 40467 adults experienced depression, hence:

[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]

The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

A similar problem is given at https://brainly.com/question/16807970