Answer:
I'm learning this too the answer is 12x+10y10
slope-intercept form: y = mx + b
we know what format we need to change the equation to.
subtract 12x to each side to get 10y alone.
12x - 12x + 10y = 100 - 12x
10y = -12x + 100
divide 10 to both sides to get y alone.
10/10y = -12/10x + 100/10
y = -6/5x + 10
y = -6/5x + 10 is your answer. i hope this helpes! let me know if i got something wrong that i need to fix.
Find the size of angle x. ✓ 124 x
Solve for n
N=5(a-3h^2)
n=5(a−3h^2)
Answer:
n=−15h^2+5a
Which option best shows X > -8
The answer is on the picture.
Classify Angle 1 & Angle 2 by choosing the correct term from the choices below.
adjacent
complementary
vertical
straight
Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)
The coordinates of B are (-7,-2).
What do you mean by x and y coordinates?
The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.
According to the given data in the question,
if M is the location where line segment AB meets its midpoint.
Then, we will using the midpoint formula,
\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)
Putting the x-coordinates in (1),
\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)
Similarly, putting the y-coordinates in (1),
\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)
Hence, the coordinates of B are (-7,-2).
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The 20 members of the photography club are trying to raise at least $1,400 for
new photography equipment. They have already raised $540.
Let m represent the amount of money each member must raise, on average, to meet
their goal. Write an expression for the total amount of money going to be raised.
b Write an equation that represents the club raising all the money.
с
Solve the equation. What does the solution mean in context of the scenario?
d Write an inequality representing the amount of money each member must raise,
on average, to meet or exceed their goal.
Write an inequality showing the possible average amount of money each club member
needs to raise.
Answer:
i dont know if this helps, im not sure if you are telling me to do all of these things or B, c, d are answer
Step-by-step explanation:
To find the total amount of money that the photography club will raise to meet their goal, we can multiply the average amount of money each member must raise by the number of members in the club:
Average amount of money each member must raise = m
Number of members in the club = 20
Total amount of money to be raised = Average amount of money each member must raise x Number of members in the club
Total amount of money to be raised = m x 20
We know that the club is trying to raise at least $1,400, and they have already raised $540. Therefore, the amount of money they still need to raise is:
Amount of money still needed to reach goal = $1,400 - $540
Amount of money still needed to reach goal = $860
We can set up an equation to represent the total amount of money the club will raise to meet their goal:
Total amount of money to be raised = Amount of money still needed to reach goal
m x 20 = $860
We can solve for "m" by dividing both sides of the equation by 20:
m = $860 / 20
m = $43
Therefore, the total amount of money the club will raise to meet their goal is:
Total amount of money to be raised = Average amount of money each member must raise x Number of members in the club
Total amount of money to be raised = $43 x 20
Total amount of money to be raised = $860
B))) We can set up an equation to represent the total amount of money the club will raise to meet their goal:
Total amount of money to be raised = Amount of money already raised + Amount of money still needed to reach goal
We know that the club has already raised $540 and they need to raise $860 more to reach their goal of $1,400. Therefore, we can substitute these values in the equation:
Total amount of money to be raised = $540 + $860
Total amount of money to be raised = $1,400
So the equation that represents the club raising all the money is:
$1,400 = $540 + $860
C)))) To solve the equation:
$1,400 = $540 + $860
We can simplify the right-hand side of the equation by adding $540 and $860:
$1,400 = $1,400
This equation is true, which means that it is a consistent equation. The solution to this equation is that the club will be able to raise all the money they need to buy the new photography equipment.
In the context of the scenario, the solution means that the club will be able to meet their goal of raising at least $1,400 for new photography equipment. They have already raised $540, and they need to raise $860 more to reach their goal. The equation shows that the total amount of money they will raise is exactly $1,400, which is the amount they need to meet their goal.
D))))) To represent the amount of money each member must raise, on average, to meet or exceed their goal, we can use the following inequality:
Average amount of money each member must raise ≥ Total amount of money still needed to reach goal / Number of members in the club
We know that the total amount of money still needed to reach the goal is $860, and there are 20 members in the club. Therefore, we can substitute these values in the inequality:
Average amount of money each member must raise ≥ $860 / 20
To simplify the right-hand side of the inequality, we can divide $860 by 20:
Average amount of money each member must raise ≥ $43
This inequality shows that each member must raise at least $43, on average, to meet or exceed their goal of raising $1,400.
To show the possible average amount of money each club member needs to raise, we can use the following inequality:
0 < Average amount of money each member must raise ≤ Total amount of money still needed to reach goal / Number of members in the club
This inequality shows that the average amount of money each member must raise is greater than 0 (since each member must contribute something), but it is less than or equal to $43 (which is the minimum amount each member must raise to meet or exceed their goal).
Carla Eppelstein is saving her babysitting money to buy a bicycle. She usually babysits a total of 11 to 16 hours per week and charges $4.50 per hour. If the bicycle she wants is $147, in about how many weeks will she be able to pay for it
Answer:
About three weeks.
Step-by-step explanation:
147 divided by 4.50 = 32.6
32.6 divided by 11 is almost 3. So about three weeks.
what is the meaning of sequence in mathematic and
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
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Mark lives 7/8 mile from school.Claudia lives 3/10 mile from school. How much closer, in miles, does Claudia live to school than Mark?
The first step is to find a common denominator. I'm going to use 80.
So...
7/8 x 10/10=70/80 (Mark)
And...
3/10 x 8/8=24/80 (Claudia)
70/80 - 24/80 = 56/80
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The monthly dues for a premium membership at a health club is $15 more than the cost of a standard membership.
The premium membership is $40 per month.
What is the cost of a standard membership?
please explain how you got the answer
Answer:
To find the cost of a standard membership, we need to subtract the $15 premium from the monthly premium membership cost of $40.
$40 - $15 = $25
Therefore, the cost of a standard membership is $25 per month.
Look at each set of data which data set has a mean absolute deviation of 0.64A. Data set W - 11, 7, 28, 46, 36B. Data set X - 5.7, 7.5, 9.4, 6.4, 8.9C. Data set Y - 10.75, 11.5, 11.9, 10.25, 10.1D. Data set Z - 80, 77, 79, 78, 76
I'll start
Data set A: standard deviation = 14.5
Data set B. standard deviation = 1.41
Data set C = standard deviation = 0.69
Data set D = standard deviation = 1.41
The closest standard deviation to 0.64 is Set C
A bakery is selling breakfast platters. A platter of 12 bagels costs $9.60. Additionally, it costs $8.80 for a gallon of coffee.
What is the slope of this situation?
0.80
0.73
9.60
8.80
The slope of this situation is equal to: A. 0.80.
How to calculate the slope of this situation?In Geometry, the rate of change of any straight line simply refers to its gradient or slope and it can be calculated by using this mathematical expression;
Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Based on the information provided, we can logically deduce the following slope and data points on the line:
Points on x-axis = 12
Points on y-axis = 9.6.
Substituting the given data points into the slope formula, we have the following;
Rate of change (slope), m = 9.6/12
Rate of change (slope), m = 0.80.
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If I had 60 units needed and units per case was 14 how many full cases and additional items are needed to fufill the order
Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.
Consider ground level to be 0.
What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?
Enter your answer in the box.
omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
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3. 54
18. About how many books does Corner
Books sell each year?
Remember, there are
52 weeks in 1
year.
7. 64
A About 6,500 books
38
B About 7,500 books
x52
C About 8,500 books
D About 9,500 books
19. About how many more nonfiction and
children's books are sold than fiction
For 1
11. 3
F
books in 1 year?
DATA
Corner Books Weekly Sales
Type of Book
Fiction
Nonfiction
38
Children's
59
Number of Books
72
♡ About 2,000 books
B
About 1,500 books
12.
C
About 1,000 books
D
About 500 books
186
Tonic 4 1
son 4.3
Need help on these questions please and thank you
Answer:
A
Step-by-step explanation:
Answer:
18.C
19.C
Step-by-step explanation:
You need to either add them all first and then multiply them or you can multiply them one by one and then add them altogether
Since my uncles farmyeard apperas to be overrun with gos and chickens i asked him hom many of each did he have he responded that his dog and chicked had a total of 148 legs and 60 heads. hime mmay of each does he have
There are 14 dogs and 46 chickens in the farmyard.
The supposition that there are d dogs and c chickens.
Each chicken has two legs, but each dog has four.
Consequently, the total number of legs may be written as follows:
4d + 2c
Since we are aware that there are 148 legs in total, we can construct the following equation:
4d + 2c = 148
We may create another equation since we know that there are a total of 60 heads (dogs and chickens):
d + c = 60
Now that we have two equations with two variables, we may answer them both at the same time.
2d + 2c = 120 is the result of multiplying the second equation by two.
When we deduct this from the first equation, we obtain 2d = 28.
So, d = 14.
Reintroducing this into the second equation, we get:
14 + c = 60
So, c = 46.
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Cody and Tyler were once the same height. Since then, Tyler's height has increased by 20%, while Cody has grown half as much. If Tyler is 4 feet tall now, how many inches tall is Cody now? 30 POINTS!! :) please show work!!
answer: he is really short lol (JK ignore this answer, look at the answer below)
Answer:
24 inches
Step-by-step explanation:
how many inches tall is Cody now?
since Cody grew half as much he is 2 feet tall now, which is 24 inches(it's asking for the answer in inches so do not put feet).
1 feet = 12 inches.
2 feet = 24 inches.
Ace Carlos
Answer:
43.2 inches
Step-by-step explanation:
if tyler has grown by 20℅ and cody is half as much then cody is 10℅.
if tyler is 4 feet then,
4 feet = 100℅
x. = 20℅
x = 20℅ × 4 feet /100℅
x = 0.8 feet
if cody has grown half as much, 0.8/2 = 0.4feet
if they were equal once to find Cody's height we can, 4feet-0.4feet = 3.6 feet = 43.2 inches
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
5 is 10% of what number
Answer:
50
Step-by-step explanation:
Answer:
hello! :) have a good day!
5 is 10% of 50
If you are using a calculator, simply enter 5×100÷10, which will give you the answer.
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
yossi used to have a square garage with 364ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
The original length of the square garage is 19.1 ft.
The length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.
How to find original land new length of the square garage?Yossi used to have a square garage with 364ft of floor space.
Recently, built an addition to it.
The garage is still a square, but now it has 50% more floor space
Therefore,
area of a square = l²
where
l = side lengthTherefore,
364 = l²
l = √364
l = 19.0787840283
l = 19.1 ft
Therefore, the original length of the square garage is 19.1 ft.
After 50% increase in the area,
New area = 50 / 100(364) + 364
New area = 546 ft²
Therefore,
546 = l²
l = √546
l = 23.3666428911
l = 23.4 ft
Hence,
percentage increase in length = 19.1 / 23.4 × 100
percentage increase in length = 1910 / 23.4
percentage increase in length = 81.6239316239
percentage increase in length = 81. 6 %
Therefore, the length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.
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find thr volume of the iron usrd to make a hollow cylinder of hright 9cm and whose internal and external radius are 21cm and 28cm respectively
Answer:
Volume of iron used is 58982cm
Step-by-step explanation:
For hollow cylinder,
\bold{Height=9cm}Height=9cm
\bold{Internal \ radius=21cm}Internal radius=21cm
\bold{Externa \ radius=28cm}Externa radius=28cm
volume \: of \: cylinder = \pi \times {r}^{2} \times h \:volumeofcylinder=π×r
2
×h
\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part
\bold{=\frac{22}{7}×28^2×9}=
7
22
×28
2
×9
\bold{=22×4×28×9}=22×4×28×9
\bold{=71456cm^3}=71456cm
3
\bold{Volume \ of \ hollow \ part}Volume of hollow part
\bold{=\frac{22}{7}×21^2×9}=
7
22
×21
2
×9
\bold{=22×3×21×9}=22×3×21×9
\bold{=12474cm^3}=12474cm
3
\bold{Volume \ of \ iron \ used=}Volume of iron used=
\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part
\bold{- Volume \ of \ hollow \ part}−Volume of hollow part
{=71456-12474}=71456−12474
{=58982cm^3}=58982cm
3
\bold\red{Volume \ of \ iron \ used \ is \ 58982cm^3}Volume of iron used is 58982cm
3
Multiply.
29⋅22⋅24
215
815
272
872
Answer:
was done mentally. Should be 15312
Find the H+ concentration of of a solution that has a pH solution of 12.24
Answer:
\(4.83\times 10^{-6}\)
Step-by-step explanation:
Given that,
The pH of the solution = 12.24
We need to find the H⁺ concentration of the solution. We know that,
\(pH=-log[H^+]\)
Put pH = 12.24
So,
\(12.24=-log[H^+]\\\\\[H^+]=4.83\times 10^{-6}\)
So, the concentration of H+ is \(4.83\times 10^{-6}\).
What is the value for x
What is the value for y
Answer:
y=155, x=65
Step-by-step explanation:
y+25=180
y=155
y=90+x
155=90+x
x=65
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The required measure of angles x and y are 65° and 155° respectively.
Following the given figure, to determine the value of y and x.
In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.
To determine y, follow the property of supplementary angle:
y + 25 = 180
y = 180 - 25
y = 155°
To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65
Thus, the required measure of angles x and y are 65° and 155° respectively.
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Is landing on a number less then 10 on a 6 sided dice impossible?
Answer:yes
Step-by-step explanation:
if you have two dice one dice can land on a 4 and 6
The average prices of a gallon of fuel are shown in the table. Let p=f(t) be the average price of fuel at t years since 1980. The model f(t)=0.0075t2−0.2t+2.32 fits the data well.
Year
Price (dollars per gallon)
1980
2.38
1985
1.57
1990
1.18
1995
0.95
2001
1.33
2005
1.95
2006
2.35
a. Find the p-intercept of the model.
The p-intercept is nothing.
(Type an ordered pair. Type an integer or decimal rounded to two decimal places as needed.)
Which of the following is a better buy?
7 tickets for $22.75
10 tickets for $31.50
Answer:
10 tickets for $31.50
Step-by-step explanation:
So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket
If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.
So In conclusion 10 tickets for $31.50 dollars is the better buy
Answer:
10 Tickets Is The Better Deal
Step-by-step explanation:
So What You Do Is You Will Divide 22.75 By 7
You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets
For The Next One You Do The Same Thing
You Want To Divide 31.50 By 10
You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets
So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal
Hope This Help
DOH! My Brain Hurts