Answer: The formula to determine the multiplier is M = 1 / (1 - MPC). Once the multiplier is determined, the multiplier effect, or amount of money needed to be injected into an economy, can also be determined. This amount is calculated by dividing the total amount of spending needed by the multiplier.
Step-by-step explanation:
Two teachers, Mr. Donahue and Mrs. Ortiz, decide to buy mechanical pencilsand rulers for their classrooms. Mrs. Ortizbuys 50 mechanical pencils and 30 rulers for $55. Mr. Donahue buys 30 of each for $45. What was the price per mechanical pencil?What was the price per ruler?a.
Answer:
Price per mechanical pencil: [tex]\$ 0.5[/tex].
Price per ruler: [tex]\$ 1[/tex].
Step-by-step explanation:
Let the cost per mechanical pencil be [tex]\$ p[/tex], and let the cost per ruler be [tex]\$ r[/tex].
Set up two equations based on the amount of money that each teacher paid.
The cost of [tex]50[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30[/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mrs. Ortiz paid. In other words, [tex]50 \, p + 30\, r = 55[/tex].
Similarly, the cost of [tex]30[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30 \![/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mr. Donahue paid. In other words, [tex]30 \, p + 30\, r = 45[/tex].
That gives a system of two equations:
[tex]\left\lbrace \begin{aligned}& 50 \, p + 30\, r = 55 \\ & 30 \, p + 30\, r = 45 \end{aligned}\right.[/tex].
Subtract the second equation for the first:
[tex]20\, p = 10[/tex].
[tex]\displaystyle p = \frac{1}{2} = 0.5[/tex].
In other words, the cost of one mechanical pencil would be [tex]\$0.5[/tex].
Substitute [tex]p = 0.5[/tex] back to either equation and solve for [tex]r[/tex], the cost of one ruler.
[tex]50 \times 0.5 + 30\, r = 55[/tex].
[tex]30\, r = 55 - 25 = 30[/tex].
[tex]r = 1[/tex].
In other words, the cost of one ruler would be [tex]\$ 1[/tex].
Some emoji math, there are more to be solve as well. 15 points for each. Must explain how to get the answers you got.
Answer:
Ladybug=7
clock= 5
bulb= 2
Step-by-step explanation:
there are a whole row of ladybugs that equal 21. 21/3=7.
on the third row, the value we need is 12, 6 won't work because we also have a bulb. so pug in 5, 5+5=10, that means the bulb is 2.
So now that we know the values, lets plug them into the first problem to see if it gives us 14... it does
So we have the correct answers
Also, you can plug in the values for the the bottom numbers and you will get those values
Find the solution set of this inequality 2x+4<6
Based on your image, I will assume u meant: [tex]|2x+4| \leq 6[/tex]
This means that x will have two solution sets, due to the absolute value.
[tex]-5\leq x\leq 1[/tex]
How many 1/8 foot long wooden pegs can be cut from a plank that is 3/4 foot long?
Answer:
6 pegs can be cut.
Answer:
24
Step-by-step explanation:
!=1
ANSWER NEEDED QUICK, SHOW YOUR WORK PLEASE)
Ground beef costs $2.19 per pound. Which equation best
represents y, the total cost of x pounds of ground beef?
A. x = 2.19y
B. x= 2.19+y
C. y = 2.19x
D. y = 2.19 + x
Answer:
C
Step-by-step explanation:
When looking at the total cost of x pounds of something when the cost is per pound, you multiply the two numbers. Because y is the total cost, you want that as the answer that you are looking for, so it will be by itself when looking at the two sides of the equation. This means that answer c is the only one correct. A/B cannot be unless you were looking for the number of pounds, and you were dividing y (total cost) by 2.19 (cost per pound). D does not work because you are just adding how many pounds you have to the cost per pound.
If you are the sole owner of a company with a net worth of $2.35 million dollars and are sued for $4 million dollars what is the amount that you must pay in the lawsuit? Why do you have to pay the amount that you stated?
Explanation: Well in my opinion.... Your networth doesn't matter its just showing how much money you spent...
Soo if you had $4 Million you'd pay it automatically.
What is the surface area please help I will mark brainliest
Answer:
292.5 square cm
Step-by-step explanation:
13 x 9 / 2 = 58.5 x 5 = 292.5 square cm
Hope that helps!
HELP FAST WILL MARK BRAINLYIST
Answer:
c
Step-by-step explanation:
Which steps can be used to solve for the value of y ? 23(y+57)=178
Answer:
y= -49.26 or -49 6/23
Step-by-step explanation:
First distribute the 23 to y and 57
23y+1311=178
then subtract 1311 from both sides
23y=-1133
Then divide 23 to both sides
y= -49.2608695652
rounded: -49.3
as a fraction: -49 6/23
Solve for x:
7x - 3x + 11 = 27
Answer:
-10
Step-by-step explanation:
Guys help me please.
How to solve it?
Answer:
16.21 degrees
I need help with this to I just want to make sure I’m right or wrong.!
Answer:
the answer is D
Step-by-step explanation:
The length of a subway is 385 miles. If 3 cm represents 35 miles on the map, then what is the length of the subway on the map in cm?
Answer:
33cm
Step-by-step explanation:
385 / 35 = 11
11 times 3 = 33
Find the gradient of the line segment between the points (2,-3) and (-3,-8)
Answer:
1
Step-by-step explanation:
gradient=
[tex] \frac{ - 8 - ( - 3)}{ - 3 - 2} = \frac{ - 8 + 3}{ - 5} = \frac{ - 5}{ - 5} = 1[/tex]
Find the slop of the line that passes through the points (-3,-1) and (0,3)
Step-by-step explanation:
Let the points of the given coordinates ( -3 , -1 ) & ( 0 , 3 ) be A and B respectively.
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
A ( -3 , -1 ) & B ( 0 , 3 )Let A ( -3 , -1 ) be ( x₁ , y₁ ) & B ( 0 , 3 ) be ( x₂ , y₂ )
[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]
Slope of the line that passes through the points A ( -3 , -1 ) & B ( 0 , 3 )[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }}[/tex]
~Plug the known values and then simplify !
⟼ [tex] \tt{ \frac{3- ( - 1)}{0- ( - 3)}} [/tex]
⟼ [tex] \tt{ \frac{3 + 1 }{0 + 3} }[/tex]
⟼ [tex] \tt{ \frac{4}{3}} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{ \frac{4}{3}}}}}}}} [/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Elliott took a survey for Turkey Filet. 18 students prefer turkey tenders and 12 students prefer fried turkey sandwiches with pickles on buttered buns. What percentage of students prefer turkey tenders?
Answer: 60%
Step-by-step explanation: multiply 18 by 100 than divide by 30
Three fourths of the product of four fifths and fifteen
Answer:
I think it is 9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
15 * [tex]\frac{4}{5}[/tex] * [tex]\frac{3}{4}[/tex] = 15 * [tex]\frac{3}{5}[/tex] = 9
In the slope - 6/11, the 11 indicates to
A. Rise 11 units
B. Fall 11 units
C. Run 11 units
Answer:
C. run 11 units
Step-by-step explanation:
because you run down -6 you rise 11
Solve system by using substitution: 5x + 3y = -4
y - 2x = 6
Answer:
x = -11/3, y = -4/3
Step-by-step explanation:
[tex]y-2x=6\\y = 2x + 6[/tex]
[tex]3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3[/tex]
[tex]3y = -4\\y = -4/3[/tex]
Click on the picture.
Find the missing length
Triangle in each pair are similar.
A high school soccer team has 3 freshman, 4 shohpmores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore and then a senior?
Answer:
about 21? I think
Step-by-step explanation:
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
ANSWER FAST PLEASE
Answer:
x=2
Step-by-step explanation:
When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is
Answer: 97%
Step-by-step explanation:
15% + 38% + 44% = 97%
HELP AAAAAAAAAAAAAAAAAAA
Name all the factors of 12.
Please, please, please, please help
Answer:
27
Step-by-step explanation:
I need help please. thank you
Answer:
the answer is b I'm pretty sur3
a student runs 2 mins for every 12 minutes he walks.
Answer:look below
Step-by-step explanation:
4=24
6=36
8=48
10=60
What is the decimal multiplier to decrease by 0.4%
Answer:
.004
Step-by-step explanation:
translate the percent to a decimal
Answer:
0.996
Step-by-step explanation:
for a decrease u need to transfere to a decimal then take it away from 1
5) 9x + 8y = -2
-5x + 8y = 26
A) (2, 2)
C) (2,-2)
B) (-2,-2)
D) (-2, 2)
Answer:
5)9x+8y=-2
-5x+8y=26
A) (2,2)
PLS HELP Will give brainliest
There are 10 coins on a table heads side up. Noah wants them all to be tails side up, but with each move, he must turn over exactly 6 coins. What is the fewest moves he can take so that he ends up with all of the coins tails side up?
The answer is 3 I dont get how but thats what the mathcounts site says.