Latex paint sells for $21 per gallon and will cost you $210 to paint your room. If each gallon will cover 300 square feet, how many square feet of wall space do you have in your room?

square feet

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

https://brainly.com/question/12077512

Answer: y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

Answer:

Step-by-step explanation:

, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Answer:

1

Step-by-step explanation:

(3,3) has a positive x value and a positive y value which means it is in the first quadrant

Answer:

22 chocolates

Step-by-step explanation:

First, let x represent the number of chocolates Mary has. Since she always has 2 extra chocolates, the number of chocolates distributed to her friends would be x - 2. And x - 2 is the least common multiple of 4 and 5 because x - 2 chocolates are evenly distributed among 4 and 5 friends. The LCM of 4 and 5 is 20, so x - 2 is 20.  Mary has 22 chocolates.

Answer:

Step-by-step explanation:

let X be the quantity of 100% acid

let Y be the quantity of  10% acid

X + Y = 90

Y = 90 - X

         X(100) + Y(10) = 90(81)

X(100) + (90 - X)(10) = 90(81)

   100X + 900 - 10X = 7290

                         90X = 6390

                              X = 71 L

Answer:

19 dollars.

Step-by-step explanation:

0.20 x $95.00=$19.00.

The recipe calls for 2 cups of flour. The double of this amount is :

[tex]\mathfrak{2*2} [/tex]

[tex]\underline{\mathfrak{=4}} [/tex]

If Ivan has 5 cups, then :

[tex]\mathfrak{5-4} [/tex]

[tex]\underline{\mathfrak{=1}} [/tex]

So, O A. Ivan has 1 cup of flour more than he needs.

[tex]\mathbb{MIREU} [/tex]

Answer:

The lines would be parallel.

Step-by-step explanation:

lines with the same slope are parallel.

Answer:

19/20 miles

Step-by-step explanation:

3/4 + 1/5

3/4 = 0.75

1/5 = 0.2

3/4 + 1/5

= 0.75 + 0.2

= 0.95

= 95/100

= 19/20

Therefore,

the miles you have walked in all is 19/20.

Answer:

Let x be the number of dimes and y the number of quarters

x +y = 100

a dime is $0.10 and a quarter is $0.25

0.1x + 0.25y = 21.40 multiply by 100 to remove the decimals

10x + 25y = 2140, From the first equation y = 100 - x and plug it in to the second equation.

10x + 25(100 -x) = 2140

10x + 2500 - 25x =2140

2500 - 15x = 2140

360 = 15x x = 24 and y = 76

There are 24 dimes and 76 quarters

Answer:

76 Quarters = $19.00

24 Dimes = $2.40

$19.00 + $2.40 = $21.40

Step-by-step explanation:

Yaga

[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]

Answer:

x ≈ 41.6°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JK}{KL}[/tex] = [tex]\frac{80}{90}[/tex] = [tex]\frac{8}{9}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{9}[/tex] ) ≈ 41.6° ( to the nearest tenth )

Answer:

the perimeter of the figure is 27.4 mi

Step-by-step explanation:

rectangle perimeter = 6+6+6 = 18

half circle perimeter = 1/2 2πr = 3.14 × 3 = 9.42

the perimeter of the figure is 18+9.42 = 27.42 --> 27.4 mi

Answer:

[tex]{ \rm{5x - 8 < x + 10}} \\ \\ { \rm{5x - x < 10 + 8}} \\ \\ { \rm{4x < 18}} \\ \\ { \rm{x < 4.5}}[/tex]

Solving for x in the inequality gives us;

x < 4.5

We are given the inequality;

5x - 8 < x + 10

The first step is to use addition property of equality to add 8 to both sides;

5x - 8 + 8 < x + 10 + 8

5x < x + 18

Use subtraction property of equality to subtract x from both sides to get;

5x - x < x + 18 - x

4x < 18

Using division property of equality, we have;

x < 18/4

x < 4.5

Read more on inequalities at; https://brainly.com/question/25275758

Answer:

An amusement park studied methods

Step-by-step explanation:

Answer:

Expression D

Step-by-step explanation:

all other answers are above 15! hope this helps :D

Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.

Given that a group of 100 women aged 60-64 got a new flu vaccine in 2004, and 5 of them died the following year, to determine if this event is unusual, and specifically, how likely is it that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year knowing that the chance of dying of a woman aged 60-64 getting a new flu vaccine in the next five years is 0.009, the following calculation must be performed:

Therefore, the probability that at least 5 out of 100 women aged 60 to 64 who get the flu vaccine will die within the next year is 0.0000000059049%, making the event absolutely unusual.

Learn more about maths in https://brainly.com/question/14696440

Answer:

Step-by-step explanation:

If you're actually looking for y + b rather than x + b

Then

xy + xb + ya + ab = (x + a)(y + b) = 32

                                        4(y + b) = 32

                                           y + b = 8

otherwise we have a situation with only two equations and four unknowns. This cannot be resolved without further information.

Answer:

4x/y¹¹

Step-by-step explanation:

1) take out constants

40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵

2) simplify 40/10 to 4

4 * x⁻⁴y⁻⁶/x⁻⁵y⁵

3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ

4x⁻⁴⁺⁵y⁻⁶⁻⁵

4) Simplify -4 + 5 to 1

4x¹y⁻⁶⁻⁵

5) simplify -6-5 to -11

4x¹y⁻¹¹

6) use rule of one: ₓ¹=ₓ

4xy⁻¹¹

7) use negative power rule: x⁻ᵃ=1/xᵃ

4x * 1/y¹¹

8) simplify

4x/y¹¹

Answer:

0.75 liters

Step-by-step explanation:

1000ml in 1 liter so 0.75*1000=750ml

750ml > 350ml

Answer:

-4d

Step-by-step explanation:

L.c.m=15

15×2/5(d-10)-2/3×15(d+6)

3×2(d-10)-2×5(d+6)

6(d-10)-10(d+6)

6d-60-10d-60

6d-10d-60-60

-4d-0

-4d

Answer:

  length 17 feet

  width 7 feet

Step-by-step explanation:

Let w represent the width. Then the length is 2w+3, and the perimeter is ...

  P = 2(L +W)

  48 = 2((2w+3) +w) = 6w +6

  42 = 6w

  7 = w . . . . . . . . width

  (2w+3) = 17 . . . length

The length of the garden is 17 feet; its width is 7 feet.

Answer:

f(-4a) = -16a + 8

Step-by-step explanation:

Substitute -4a into the equation

4x(-4a) + 8 = -16a +8

Answer:

5 weeks

Step-by-step explanation:

The amount of money he has to earn in order to buy the phone is: 400-55 = 345( dollars)

He gets 345 dollars in: 345÷75= 4 weeks and remains 45 dollars

So he needs to work for 1 more week to have enough money to buy the phone

So he needs to work at least 5 weeks

Answer:

 (b)

Step-by-step explanation:

A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.

  (5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42

This matches choice B.

Answer:

Cardiovascular system

Step-by-step explanation:

Answer:

10.00 +4s .

u wanted expression ,  not answer.?

Step-by-step explanation:

Answer:

thanks for the points again

Step-by-step explanation:

,(TT(TT)(TT)(TT)(TT)(TT)(TT