Which angles form a linear pair?

Answer:

Step-by-step explanation:

Given that:

4x + 5x = $440

9x = $440

x = $49 (Approx.)

So, she received :

from the stock = 4 x 49 = $196

from the bond = 5 x 49 = $245

SO, now, how much did she invest ?

Answer:

Step-by-step explanation:

Let x represent the amount invested at 4% and y the amount at 5%.  Then x + y = 1000.  

Then:

0.04(1000 - x) + 0.05x) = 440 (total interest)

Then:

40 - 0.04x + 0.05x = 440, or

0.01x = 400, or

x = 40000 (not possible, because the principal is only $1000.

Something's wrong here.  Double check to ensure that you've copied the problem down correctly.

Answer:

log base 10 of 40/9, log(40/9), or 0.6478

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.

Answer:

[tex]\frac{5x+1}{5}[/tex]

Step-by-step explanation:

Given Condition:

=> x+50%-30%

=> x+20%

=> [tex]x+ \frac{20}{100}[/tex]

LCM = 100

=> [tex]\frac{100x+20}{100}[/tex]

Taking 20 common

=> [tex]\frac{20(5x+1)}{100}[/tex]

=> [tex]\frac{5x+1}{5}[/tex]

Hope this helps!

Don't hesitate asking anything regarding this!

0.96176920308

Answer:

Solution,

[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

Answer :

Here,

Diameter = 5cm so, radius = 5/2 = 2.5

Height = 30 cm

Surface area of a cyclinder = 2πr(r+h)

= 2 × 22/7 × 2.5 ( 30 + 2.5 )

= 5  ×  22/7  ×  32.5

= 510.71 cm²

Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]

Step-by-step explanation:

(f·g)(x) also means f(g(x)).

So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.

[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]

Now distribute the 5.

[tex]f(g(x))=25x^{2}+20x+2[/tex]

This is as simplified the equation gets as it is not factor-able.

Answer:

25/4

Step-by-step explanation:

Because I say so

Answer:

15 deg

Step-by-step explanation:

Sine and cosine are co-functions, so

sin x = cos(90 - x)

sin 25 = cos(90 - 25)

sin 25 = cos 65

y + 50 = 65

y = 15

Answer:

Answer is option a) x = 4 ±√5

Step-by-step explanation:

[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

slope is undefined

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-4 -1)/(8-8)

     = -5/0

We cannot divide by zero so the slope is undefined

Answer:

Slope is undefined .

Step-by-step explanation:

        y2 - y1

m =   ---------------  

         x2 - x1

           -4 - 1             -5

m =   ---------------  =  ----- -  = 0

            8 - 8             0

Answer:

[tex]f(x)=6x^2+x-1[/tex]

I hope this help you :)

Hey there! :)

Answer:

y = -3/2x - 6

Step-by-step explanation:

Begin by isolating the 'y' variable:

3x + 2y = -12

Subtract both sides by 3x:

2y = -3x - 12

Divide both sides by 2:

y = -3/2x - 6

Therefore, the equation in y = mx + b form is:

y = -3/2x - 6

Answer:

y= -1.5x-6

Step-by-step explanation:

In order to turn this equation into y=mx+b form, we need to move x to the other side.

Step 1 : Minus 3x on each side, leaving the equation into 2y=-12-3x

Step 2 : Now that we have everything on the right side, divide the equation by 2.

Step 3 : After dividing -12 and -3x, we are left with -6 and -1.5x (or -1/2x) which leaves us with y=-1.5x (OR -1/2x) - 6.

Answer:

933+x < 1500

Step-by-step explanation:

Let x be the next purchase

The first charge of 933 and the next purchase is less than 1500 dollars

933+x < 1500

Answer:

1500>933+c

Step-by-step explanation:

,............

Answer:

[tex] \sin(b) = \frac{12}{13} [/tex]

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

58

Step-by-step explanation:

First, find the interior angle adjacent to the angle GFD.

180 - (34+24) = 180 - 58 = 122

Now, the exterior angle = 180 - 122 = 58

hope this helps

Answer:

256in²

Step-by-step explanation:

Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16

384-128=256in²

Answer:

y = tan(x) - 2

Step-by-step explanation:

Answer:

y=tan(x)-2

Step-by-step explanation:

Answer:

30° each

Step-by-step explanation:

Complementary angles are those that add up to 90° so if they are all equal then it's

90/3=30°

Answer: 30° each

Complementary angles are those that add up to 90° just to remind you!!

Answer:

g = 48 divided by 4

Step-by-step explanation:

Answer:

g=48/4

Step-by-step explanation:

this thing / mean divided

Answer: Yes, it is a function.

Step-by-step explanation:

This question is:

"A relation between time and distance traveled by a biker is a function?"

Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.

In this relation the domain is time and the range is the distance.

Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.

Answer:

Step-by-step explanation:

In the picture above

I hope it helps :)

Answer: Amount in account after 3 years $513.52

Interest accrued in 3 years is $63.52

Step-by-step explanation:

450 x 4.5% = 20.25

Add to balance 20.25 + 450 = 470.25

470.25 x 4.5% = 21.16

Add to balance 21.16+470.25=491.41

491.41 x 4.5% = 22.11

Add to balance 22.11 + 491.41 = 513.52

Answer:

Chopped tomatoes

= 3/4 x 800 = 600g

Stock

= 3/4 x 600 = 450 ml

Red wine

= 3/4 x 300 = 225 ml

Answer: See below

Step-by-step explanation:

For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.

Chopped tomatoes

[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex]             [cross multiply]

[tex]400x=240000[/tex]                         [divide both sides by 400]

[tex]x=600g[/tex]

We will need 600 g chopped tomatoes.

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

Stock

[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex]               [cross multiply]

[tex]400x=180000[/tex]                         [divide both sides by 400]

[tex]x=450[/tex]

We will need 450 ml of stock.

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

Red wine

[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex]                            [cross multiply]

[tex]400x=90000[/tex]                           [divide both sides by 400]

[tex]x=225[/tex]

We will need 225 ml of red wine.

Answer:

2144.66

Step-by-step explanation:

V = 4/3 π r^3

Answer:2144.66

Step-by-step explanation:

formula for volume of a sphere- v=4/3 pi r^3

v=4/3 pi 8^3

V= 4/3 pi 512

v=2048pi

v=2144.66

Answer: Graph C is correct

Step-by-step explanation:

The region below the dashed red line is y < 4/3x +2

The region below the solid purple line is y ≤ -1

The region below and left of the solid green line is y ≤ -3x

Answer:

C is correct

Step-by-step explanation:

Yes, most def

Answer:

y = 14

Step-by-step explanation:

y ∝ [tex]\frac{1}{x}[/tex]

=> y = [tex]\frac{k}{x}[/tex]     -------------(1)

Where k is the constant of proportionality

Now,

x = 7, y = 4

Putting in (1)

4 = [tex]\frac{k}{7}[/tex]

So,

=> k = 28

Now y = ? when x = 2

Putting x and k in (i)

y = [tex]\frac{28}{2}[/tex]

y = 14

Answer:

[tex]y=14[/tex]

Step-by-step explanation:

[tex]y \propto 1/x[/tex]

[tex]y=k/x[/tex]

[tex]4=k/7[/tex]

[tex]4 \times 7 = k[/tex]

[tex]28=k[/tex]

[tex]y=28/x[/tex]

[tex]y=28/(2)[/tex]

[tex]y=14[/tex]

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

Learn more about the Venn diagram here:

https://brainly.com/question/1605100

#SPJ5

The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]

Answer:

5 ft, I think