WORTH 35 POINTS :))

13. What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22

A. 23
B. 7
7 1 / 1
C. 9
D. 10
E. 173

Answer:

[tex]c = 5[/tex], explanation for how to get there

Step-by-step explanation:

If we have the equation [tex]4|3c+5| = 16c[/tex], we want to isolate c on one side and find it's value.

Let's first divide both sides by 4.

[tex]4|3c+5|\div4 = 16c\div4\\\\|3c + 5| = 4c[/tex]

Now let's solve for the absolute value. We know that:

[tex]3c + 5 = 4c[/tex]

or

[tex]3c + 5 = -4c[/tex]

Possibility 1:

[tex]3c + 5 = 4c[/tex]

Subtract 3c from both sides:

[tex]5 = c[/tex]

Possibility 2:

[tex]3c + 5 = -4c[/tex]

Add 4c to both sides:

[tex]7c + 5 = 0[/tex]

Subtract 5 from both sides:

[tex]7c = -5[/tex]

Divide both sides by 7:

[tex]c = \frac{-5}{7}[/tex]

Plugging both of these values into the equation, we can see that only 5 works.

Hope this helped!

Answer:

              v = 2,325,457

Step-by-step explanation:

f×v= 13,573,692,509

5837×v= 13,573,692,509

v =  13,573,692,509÷5837

v = 2,325,457

[tex]{}\quad\, \underline{\qquad\quad2\ 3\ 2\ 5\ 4\ 5\ 7}\\{}\ \ \,1\ 3\ 5\ 7\ 3\ 6\ 9\ 2\ 5\ 0\ 9\ \div\ 5\ 8\ 3\ 7\\\underline{-1\ 1\ 6\ 7\ 4\ \ \ }\\{}\quad\ \ 1\ 8\ 9\ 9\ 6\\{}\quad\underline{-1\ 7\ 5\ 1\ 1\ \ }\\{}\qquad\ \, 1\ 4\ 8\ 5\ 9\\{}\quad\ \ \underline{-1\ 1\ 6\ 7\ 4\ \ }\\{}\qquad\quad \, 3\ 1\ 8\ 5\ 2\\{}\qquad \ \underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\qquad\qquad2\ 6\ 6\ 7\ 5\\{}\qquad\quad\, \underline{-2\ 3\ 3\ 4\ 8\ \ }[/tex]

           [tex]{}\quad3\ 3\ 2\ 7\ 0\\{}\,\underline{-2\ 9\ 1\ 8\ 5\ \ }\\{}\quad\ \ 4\ 0\ 8\ 5\ 9\\{}\ \ \,\underline{-4\ 0\ 8\ 5\ 9\,}\\{}\qquad\qquad\quad 0[/tex]

Step-by-step explanation:

Identify the variables (x,y) and represent them using the unknowns like this:

Let x represent the tens digit and y represent the ones digit of the number.

Relationships between the unknowns from the question:

x = 2y, and x + y = 12.

We can solve these simultaneous equations by substitution:

x + y = 2y + y = 12, 3y = 12, y = 4. So x = 8.

Link back to the question:

Therefore, the number is 84.

Answer:

two plus 5 times p or two more than the product of 5 and p.

Step-by-step explanation:

Answer:

31.7

Step-by-step explanation:

Since you want to find the entire weight, you need to add up all of the weights of the puppies.

12+9.5+10.2= 31.7

Answer:

$290

Step-by-step explanation:

370-80=290

$290

Answer:

29

Step-by-step explanation:

Answer:  45

Step-by-step explanation:

5 : 5 : 3 is simplified so it can be rewritten as  5x  :  5x  :  3x

                                                                            ↓        ↓      ↓

                                                                        Sara    Nick  June

Sara has 18 more than June --> 5x = 3x + 18

                                                    2x = 18

                                                      x = 9

In expanded form we have 5(9) : 5(9) : 3(9)

                                              45  :  45  :  27

                                               ↓        ↓      ↓

                                           Sara    Nick  June

Answer:

3500 cm^3

Step-by-step explanation:

A shoebox is in the size of a cuboid

Volume of a cuboid = [tex]length\times width\times height[/tex]

[tex]l = 35\\w = 10\\h =10\\\\V =35\times 10\times 10 \\\\Volume =3500cm^3[/tex]

Answer: looks like they got rid of What’s your favorite anime.

Step-by-step explanation:

Answer:

which of the following.

Step-by-step explanation:

sorry but ur question is not clear

Answer:

there no select

Step-by-step explanation:

sorry couldn't help you on that but 2/8 is equivalent

We are being asked the inverse of the function f(x) = 2x - 5. Now by definition of an inverse function, f(g(x)) = x. f(x) = 2x - 5, so the inverse would be in the following format:

[tex]=> \mathrm{f\left(g\left(x\right)\right)\:=\:2g\left(x\right)\:\:-\:5}\:[/tex]

[tex]=> \mathrm{2g(x) - 5 = x}\:[/tex]

[tex]=> \mathrm{2g(x) = x + 5}\:[/tex]

[tex]=> \mathrm{g(x) = x + 5 / 2}\:[/tex]

I don't understand the inverse function you gave, 'g(x)= Žx + 5' but if it is in other words 'g(x) = x + 5 / 2' then the two functions you gave are inverses.

Answer:

He jogs 4 9/10 kilometers in 6 1/8 minutes

Step-by-step explanation:

If you multiple 4/5 time 6 1/8 you'll get 4.9, which in fraction form is 4 9/10.

Answer:

MO = 19

Step-by-step explanation:

Here, we want to determine the length of MO

mathematically;

MO = MN + NO

MO = 17 + 2

MO = 19

This question is not written correctly

Complete Question

Select all decimals that are equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 ) . A. 92.35 B. 920.350 C. 902.35 D. 92.350 E. 920.35 F. 920.035

Answer:

E. 920.35

Step-by-step explanation:

( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 )

Step 1

(900) + (20) + (3/10) + (5/100)

Step 2

900 + 20 + 0.3 + 0.05

Step 3

920.35

Therefore, the answer = 920.35

Answer:

The Answer is actually B & E if doing this via Connexus. Connexus doesn't view putting an extra zero at the end to be incorrect (as it really isn't, it is just pointless) but Connexus does view NOT selecting that one as incorrect.

So while E is the correct answer, you will only get partial credit if you don't also select B. (With Connexus you can tell ones that are supposed to have multiple answers if they have check boxes instead of radio buttons.)

Step-by-step explanation:

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

[tex]x = \frac{-b +- R }{2*a}[/tex]

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

[tex]x = \frac{-b +- C*i }{2*a}[/tex]

We have two complex solutions.

If D = 0

√0 = 0

then:

[tex]x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}[/tex]

We have only one real solution (or two equal solutions, depending on how you see it)

Answer:

B (–4, –12)

Step-by-step explanation:

If its even the right question

Answer:

All answers are in bold in the explanation below.

Step-by-step explanation:

1. $11.49/3 packages=$3.83 per package

2. 2550 gals/30 days=85 gals per day

3. 88 students/4 classes=22 students per class

4. 15.6°F/13 minutes=1.2°F per minute

5. 175 Cals/12 oz=14.58 Cals per oz

6. 258.5 mi/5.5 hrs=47 miles per hr

7. 549 vehicles/9 acres=61 vehicles per acre

8. $920/40 hrs=$23 per hr

9. 13 apples/2 pies=6.5 apples per pie

10. 114 parts/6 mins.=19 parts per min.  So, multiply that unit rate by 15 mins.: 19 parts/min. * 15 mins.=285 parts in 15 minutes

11. 8 jumbo muffins/1.5 teaspoons of powder=5.33 teaspoons of powder per muffin.  So, multiply that unit rate by 3 dozen jumbo muffins.  A dozen is 12 so 3 dozen 36 muffins.: 36 muffins*5.33 teaspoons=192 tsp for 36 muffins

12. about $75 per tire-reasoning: if you rounf $299 to $300 and divide by 4 tires you would get about $75 for the tires.

13. about $4.50 per yard of fabric-reasoning: first round $13.47 to $13.50.  Now, 13.50 is sort of in the middle between 12 and 15, which are both equally divisible by 3.  12/3=4 and 15/3=5.  The middle number between 4 and 5 is 4.5, so one yard of fabric will be about $4.50.

14a. Melendez: 1,560 watts/4 people=390 watts per person

       Barton:  2,130 watts/6 people=355 watts per person

       Stiles: 1,490 watts/2 people=745 watts per person

The Stiles family uses almost twice the amount of electricity per person than the other two families.  If you look at the calculations, you see that the other two families use within in about 350 to 400 watts of electricity per person, while this family uses about 750 watts per person.  350*2=700 and 400*2=800.  745 is a number almost in between both.

14b. Melendez: 3,500 gals/4 people=875 gals per person

       Barton: 6,400 gals/6 people=1,066.67 gals per person

       Stiles: 2,500 gals/2 people=1,250 gals per person

The Melendez family uses the least amount of water per person.  If you look at the calculations, this is the only family that uses less than 1,000 gallons of water per person, thus making them the family that uses the least amount of water per person.

Answer:

8 and 10.

Step-by-step explanation:

I am assuming the difference of 9° is between their interior angles.

The formula for the interior angle of a regular polygon is 180° - 360°/n, where n is the number of sides.

As the number of sides increase, the interior angle increases.

Therefore 180° - 360°/(5x) = 180° - 360°/(4x) + 9°.

180° - 360°/(5x) = 180° - 360°/(4x) + 9°

360°/(4x) = 360°/(5x) + 9°

90°/x = 72°/x + 9x°/x

=> 90° = 72° + 9x°

9x° = 18°

x = 2.

Hence the number of sides of the regular polygons are 8 and 10.

Answer:

-36

Step-by-step explanation:

Answer:

[tex]x>-\frac{5}{113}[/tex]

Step-by-step explanation:

[tex]113x>>-5\\\\\mathrm{Divide\:both\:sides\:by\:}113\\\frac{113x}{113}>\frac{-5}{113}\\\\Simplify\\\\x>-\frac{5}{113}[/tex]

Domain = {-3, 2}

Range = All real numbers

We can represent the range in interval notation as [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < y < \infty[/tex]. The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.

Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".

Answer:

x-y=7

y=x-7

m=1 #parallel slope will be the same with the line

y+7=1(x+6)

y+7=x+6

y=x-1

Step-by-step explanation:

formula; y-y1=m(x-x1)

Answer:

y=x+1

Step-by-step explanation:

Answer:

what functions?

Step-by-step explanation:

Answer:

The answer is 1.06x+10

Step-by-step explanation:

Well, I assume that both tickets cost the same: let's call it x.

So the tickets cost 106%x (the cost of the ticket plus tax).

The total prize of the tickets will be: 2*106% x+20.

But let's assume that you share it half-half then the answer would be 1.06x+10

Answer:

a. 85

b. Normal distribution

Step-by-step explanation:

a. Number of films as per histogram:

b. Shape of distribution:

Answer:

-6

Step-by-step explanation:

-4 x 2 = -8 + 2 = -6

Answer:

Perimeter = (6w + 12)inches

Step-by-step explanation:

The perimeter of a rectangle is:

p = 2(length+width)

p = 2(6 + 3w)

p = 2*6 + 2*3w

p = 12 +  6w

x = u /k + y/ k

Hope this helps

Answer:

2N-4

Step-by-step explanation:

N+8+N-12

2N-4

Answer:

N^2+4n-96

Step-by-step explanation:

Answer: x axis (9,0). Y axis (0, -9)

Step-by-step explanation:

Answer:

-2x - 2

Step-by-step explanation:

Step 1: Write expression

3 - (2x + 5)

Step 2: Distribute negative

3 - 2x - 5

Step 3: Combine like terms

-2x - 2