The problem solving template is a tool which can be used to help solve difficult problems. For this
sample work you will use the problem solving template to set up and then solve the equation. Complete
each part of the template for the question and then solve the question with work shown in the "Do"
square.
Write and solve a system of linear equations. The larger of two numbers is 18 more than 5 times
the smaller. If 3 times the larger number is increased by 4 times the smaller, the result is 16.
Find the numbers by solving algebraically. Show your work including the equations.
Understand: What is being asked in the problem Think(2pts). What do I know and what does it
and what does that mean? (Questions you can mean? What plan am I going to try? (Questions
ask yourself to answer that: What is the problem? you can ask yourself to answer that: What have
What do you need to find or do? What will your they told you? What does it mean? What more
final answer look like?) (2 pts)
do you know or can you figure out? What
connections can you make? What tools,
strategies, or equations can you use?) (2pts)
DoL I will write out my thinking and work. (What Answer: I will write out my response to the
you can do to get there: Work out your
question, explaining my answer and what it
solution/response using your tools and
means. (Questions you can ask yourself to make
information that you thought through. Show sure you did your best: Look back at your work
steps towards completing the problem. Create an and answer: Are you done? Does it make sense,
outline or map to organize your answer. Revise answer all of the questions, and is reasonable
your plan if it doesn't work the first time.) (4pts) (accurate)? How can you check it?) (2pts)

Step-by-step explanation:

integers and exponents

Answer:

2 hours and 36 minutes

Step-by-step explanation:

First you calculate the sum of the speeds:

115 + 95 = 210, It means every hour they get 210 miles apart.

Now the question wants the time of 546 miles apart.

You need to divide 546 to 210.

[tex]\frac{546}{210}=2.6[/tex], It gives us 2.6 hours.

2 hours + 0.6 hour.

2 hours + 0.6 × 60 minutes = 2 hours + 36 minutes

I hope it helps you. Please choose my answer as the BRAINLIEST.

Answer:

328

Step-by-step explanation:

The question says how much farther so you take the total distance minus what he has traveled.

Answer:

-3+(-6) = -9

Step-by-step explanation:

a negative 3 plus another negative 6 is a negative 9. Is just like if you borrow $3 from your friend and borrow $9 from another friend. That means you own two of your friends a total of $9. This can be mathematically illustrate as: -3 + (-6)= -9

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

-19

Step-by-step explanation:

-4(3)+(-7)

-12 + (-7)

-12 + (-7)

-12 - 7

= -19

Answer:

5 is the answerrrrrr

Step-by-step explanation:

Hope this help's

also looking for friend's help me out!!

Answer:

13

Step-by-step explanation:

We can use the slope formula to find the slope

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

   = ( -9-4)/(6-7)

   = -13/-1

  = 13

Step-by-step explanation:

1) The equilibrium price is the price where the quantity demanded (Qd) equals the quantity supplied (Qs).  If you look at your table, at the price of $3, the quantity demanded of 60 is equal to quantity supplied (Qs) of 60.  

2) At the market price of $2, the quantity demanded (Qd) of 80 is greater than the quantity supplied (Qs) of 35. This represents a shortage, where Qd > Qs. Shortages occur only at prices below the equilibrium price. This implies that there isn't sufficient supply of yo-yos to keep up with the demand.  

3) If the price is $2, the price will tend to increase due to an existing shortage. Some buyers will bid up the price of a good to get sellers to sell to them instead of to other buyers. Some sellers will realize that they can raise the price of the goods they have for sale. Higher prices will call forth added output. Price and output rise until equilibrium is achieved.

4. If the price  in the market is $5, then there is a surplus of yo-yos because the quantity demanded (Qd) of 20 is lesser than the quantity supplied (Qs) 110 (or, you could also express it as the quantity supplied of 110 is greater than the quantity demanded of 20).  Surpluses occur only at prices above the equilibrium price.

5. If the price is $5, it will eventually decrease over time. Due to surplus, sellers’ inventories rise above the level the sellers hold in preparation for changes in demand. Sellers will want to reduce their inventories. As a result, price and output fall until equilibrium is achieved.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

The conversion factor from yards to feet is one yard equals three feet.

Category of conversion: Length: The SI standard unit for length is the meter. meter (m)

Step-by-step explanation:

Answer:

Sorry what is y yards don't get you

Answer:

 10/3π ≈ 10.47

Step-by-step explanation:

Length of an arc = central angle/°in a circle · the formula for circumference of the circle.

Length of an arc = 120/360 · 2πr

Length of an arc = 1/3 · (2·π·5)

Length of an arc = 1/3 ·10π

Length of an arc = 10/3π ≈ 10.47

Answer:

y = 9, x = -2

Step-by-step explanation:

1. (9y+4) and (11y-14) are the same size angle, so you can set them equal to each other:

9y+4=11y-14

2. Solve for y:

4=2y-14

18=2y

9=y

3. (3x+28) and 63 together are opposite to (9y+4) so you can set them equal to each other:

(3x+28)+63=(9y+4)

4. You know that y=9, so plug in 9 for y and solve for x:

3x+28+63=9(9)+4

3x+91=85

3x=-6

x=-2

Answer:

Step-by-step explanation:

Exterior angle is the sum of the non-adjacent interior angles:

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of u is :

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

As we known, measure of an exterior Angle is equal to sum of two non Adjacent interior angles, that is ~

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

Answer:

time is indepent and patrick and spongebod is depent

Step-by-step explanation:

hopes it help

Step-by-step explanation:

the correct answer is B. [-5, -3]

for x = -5 => f(-5) = 2(-5)²-5

= 50-5

= 45

for x = -3 => f(-3) = 2(-3)² -5

= 18-5

= 13

the change = 45-13 = 32

(this is the greatest)

[-5,-3]

Let's verify

f(-5)

f(-3)

Rate of change

Answer:

option C is correct

place the compass at point F and draw another large arc.

hope this answer helps you dear!

A. They began the Trail of Tears

Answer:

-10 - 6p

Step-by-step explanation:

-12 - 6p - ( - 2)

The double negative turns positive

-12 - 6p + 2

-12 + 2  - 6p

-10 - 6p

-Chetan K

Answer:4 cm

Step-by-step explanation:

Formula for perimeter of a rectangle: P = 2(l+w)

20 = 2(6+w)

20 = 12+2w

divide by 2

10 = 6 + w

10-6 = w

4 = w

Answer:

D

Step-by-step explanation:

The mass of the proton has an exponential of -27 and the electron has -31.

Negative 27 is larger than negative 31 so you know the proton is larger than the electron in mass.

9.1 divided by 1.7 is approiximately 5.

Those exponents are 4 digits apart.  31 - 27 = 4 so there are 4 zeroes added onto the 5.

So the proton is about 50,000 times bigger than the electron in mass.

Answer:$7.20 tip. $43.20 total

Step-by-step explanation:

1. $36x 0.20= 7.20 OR 10%=3.60 [move the decimal one spot to the left] x 2= 7.20

2. 36+7.20=43.20

Answer:

y = x + 2

Step-by-step explanation:

slope-intercept form is y=mx+b

The y-intercept ( b ) is the point where the line touches the y-axis. in this case, 2

The slope, m,  is rise over run. You can see that as the graph rises 2, it also runs 2.

The fraction is 2/2 which simplifies to 1

Slope-intercept form is y = 1x + 2, or y = x + 2

-Chetan K

Answer:

388mm²

Step-by-step explanation:

First, divide the shape into 3 rectangles (like given in the picture)

A: 8*16 = 128

B: 7*25 = 125

C: 9*15 = 135

Area = A + B + C = 128 + 125 + 135 = 388

388mm²

Answer:

A= 360 and B=2 .

Step-by-step explanation:

because the deniminator (bottom) is 4 you have to simplify it down to 2, because that's the lowest you can go. 720/2 is 360 (2 is the lowest that it can go) and 4/2 is 2

#1

[tex]\\ \sf\longmapsto m=\dfrac{-3-1}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-3}{2}[/tex]

Option B

#2

Attached(1)

#3

Attached (2)

#4

Attached (3)

#5

[tex]\\ \sf\longmapsto Slope=m=\dfrac{3-7}{3+3}=\dfrac{-4}{6}=\dfrac{-2}{3}[/tex]

Put in slope intercept form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 3=\dfrac{-2}{3}(3)+b[/tex]

[tex]\\ \sf\longmapsto 3=b-2[/tex]

[tex]\\ \sf\longmapsto b=3+2=5[/tex]

Equation of the line:-

[tex]\\ \sf\longmapsto y=\dfrac{-2}{3}x+5[/tex]

Option C