Nita simplified the equation in problem 8 to 1.8 = 1.2x.
How did she get that? Is this a valid way to solve the
equation? Explain.

Answer:

Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b

Step-by-step explanation:

Athlete a perform 16 push-ups  to start and increase 1 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete A is

n = number of push-ups for athlete A= 16 + x

Athlete b perform 12 push-ups  to start and increase 3 push-up each day for 14 days

⇒ number of push-ups at the end of x days is for Athlete B is

m = number of push-ups for athlete B = 12 + 3x

where x is the number of days

thus, total number of athletes at the end of 14 day is

n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day

Now similarly for the initial day x = 0

thus, total number of athletes at the starting of 1st day is

n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.

That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a

Answer: The initial value for Athlete A is greater.

Pay attention for the keyword initial value.

I got no explanation D:

Answer:

320 degrees.

Step-by-step explanation:

Answer:

y=-1x+9

Step-by-step explanation:

plug point in to y-y1=m(x-x1)

y-3=-1(x-6)

y-3=-1x+6

y=-1x+9

Answer:

x = -1

Step-by-step explanation:

9x + 8 = -1

Subtract 8 from each side

9x + 8-8 = -1-8

9x = -9

Divide each side by 9

9x/9 = -9/9

x = -1

Answer:

B

Step-by-step explanation:

Answer:

33 and -39

Step-by-step explanation:

Angle on a straight line = 180

|5x + 15| = 180 and |5x + 15| = -180

5x + 15 = 180

Subtract 15 from both sides;

5x = 165

Divide both sides by 5;

x = 33

5x + 15 = -180

Subtract 15 from both sides;

5x = -195

Divide both sides by 5;

x = -39

Answer:

Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.

Solving:

[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]

We can write it as:

[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]

Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]

[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]

Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same

[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]

So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Answer: A

Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40

Answer

ANGLE SIDE SIDE

Step-by-step explanation: Because you have an angle side side hope this helps

Answer:

No

Step-by-step explanation:

plug in the variables into the equation

(x,y)

(-1,2)

2(-1)+2=2

2*-1=-2

-2+2=0

2 does not equal 0 so therefore no, it is not a solution

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

Answer:

-4.515

Step-by-step explanation:

3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515

Answer:

227.50

Step-by-step explanation:

Answer:

They are used to share something among friends , Like if there are four friends and they want to divide a cake equally among themselves , then the quantity of cake that each friend will get will be one-fourth of the cake , That is a rational number 1/4.

Step-by-step explanation:

short answer it won't trust me

Answer:

fhyedGFYUSEGCFUEGFCYU

Step-by-step explanation:

pay back

Answer:

S + 2.5S + (2.5S - 3.3)

Step-by-step explanation:

To get the perimeter of ANY shape, simply add up all the sides.

Answer:

p = 1

Step-by-step explanation:

Δ JKH ≅ Δ JIH

therefore KJ corresponds with IJ so you can set both sides equal to each other

10p = p+9

9p = 9

p = 1

Answer: 1/30

5 and 6 both have a common factor of 30

30 will be our ned denominator

1/5 needs to be multipliued by 6

(since 5 times 6 is 30)

and

1/6 needs top be multiplied by 5

(since 6 times 5 is 30)

then you get 6/30 - 5/30 and that is just 1/30

Answer:

11

Step-by-step explanation:

Answer:

He can build 3 toys in 4 minutes.

Step-by-step explanation:

Divide 360 by 8 since you are dividing it first to get the number of toys he can build in an hour.  As a result, he can build 45 toys in an hour.  Divide that number by 15 since 4 times that number equals an hour.  You should get 3 toys as your final result.  

For easier explanation, multiply 8 and 15 together to get 120 for better understanding.  Divide that number from 360 to get the same answer.

Answer:

Change: subtract old value from new value. Example: You had 5 books, but now have 7. The change is: 7−5 = 2. Percentage Change is all about comparing old to new values.

Step-by-step explanation:

hope this helps :)

Answer:

When finding the climate of an area

Step-by-step explanation:

Ex. Rainfall increased 30% since 2019 in florida (not true just an example)

Answer:

Step-by-step explanation:

they're the same figure but turned 90 deg

congruent sides:

AD and RQ

BA and SR

BC and SP

PQ and CD

congruent angles:

D and Q

R and A

B and S

C and P

haven't done this in a minute sorry if this is wrong

Answer:

D.

Step-by-step explanation:

You can see that the first value(initial) of y is 20 and the difference of the preceding values is 10 but it is decreasing thus -10

9514 1404 393

Answer:

  replace recipe quantities:

  1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

  1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

  1/4 × 5/2 = 5/8

  1/2 × 5/2 = 5/4 = 1 1/4

  1 × 5/2 = 5/2 = 2 1/2

  (1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

  2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

  old value ⇒ new value

  1/4 ⇒ 5/8

  1/2 ⇒ 1 1/4

  1 ⇒ 2 1/2

  1 1/2 ⇒ 3 3/4

  2 ⇒ 5

__

For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

_____

Additional comment

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation: