The x- and y-intercepts of the graph are:
x-intercept: -7y-intercept: 14Finding the x- and y-intercepts of the graphFrom the question, we have the following parameters that can be used in our computation:
-4x + 2y = 28.
For the x-intercepts, we set y to 0
So, we have
-4x = 28
Evaluate
x = -7
For the y-intercepts, we set x to 0
So, we have
2y = 28
Evaluate
y = 14
Hence, the x- and y-intercepts of the graph are -7 and 14, respectively
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Question
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
-4x + 2y = 28.
how many $5 and $20 make up $390 if $5 has 8 more then 20
Answer:
12 -20
30 - 5
Step-by-step explanation:
12 × 20 = 240
30 × 5 = 150
240 + 150 = 390
then 5 has 8 more than 20
5 × 8 = 40
30 +8 = 38
38 × 5 = 190
240 + 190 = 430
please mark as brainlist answer
The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly? EXPLAIN.
Answer:
A
Step-by-step explanation:
This is because line B has less water than A within the same time period. For example, lets say that each container had to be filled within 5 minutes. Container A would already be filled up within that time. Line B would be trailing behind a little.
Answer:
A
Step-by-step explanation:
because if we see from the graph:
let's say they are powered by x minutes
Thus A is filled while B is only a half
so container A is filling more quickly
I hope this helps you :)
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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The first platform of the Eiffel Tower is 2,280 inches above the ground. The second platform is 376 feet above the ground. How many yards separate the first platform from the second platform?
________yards
62 yards separate the first platform from the second platform. The solution has been obtained by using the unit conversion.
What is unit conversion?
Using a unit conversion, the same attribute is stated in a different unit of measurement. For instance, you may use minutes to convey time instead of hours, or you might express distance in feet rather than miles. It is common for measurements to be provided in one set of units, such as feet, but to be requested in another set, such as chains.
We are given that the first platform of the Eiffel Tower is 2,280 inches above the ground.
This means that it is 63.33 yards above the ground because
36 inches = 1 yard
So, 2280 inches = 63.33 yards
The second platform is 376 feet above the ground.
This means that it is 125.33 yards above the ground because
3 feet = 1 yard
So, 376 feet = 125.33 yards
The difference between the two is
125.33 - 63.33 = 62 yards
Hence, 62 yards separate the first platform from the second platform.
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What’s the correct answer asap for brainlist
Answer:
Step-by-step explanation:its a 69420 dum as
Select the correct answer.
Answer:it might be A
Which sequence of transformations proves that shape I is similar to shape II?
The sequence of transformations that proves that the shapes are similar is given as follows:
B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5
How to obtain the transformations?First, we have that the orientation of the figure, hence it was reflected.
The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.
The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:
3/2 = 1.5.
Hence option B is the correct option for this problem.
Missing InformationThe missing parts of the problem are given by the image presented at the end of the answer.
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Please answer this correctly without making mistakes
Simplify the correct answer
Answer:
\(\frac{109}{122}\)
Step-by-step explanation:
Well first we need to find the total amount of Winter Olympic medals won.
550 + 540 + 130
= 1220
Now we need to find the amount won from the Western and Northern Europe.
550 + 540
= 1090
Now we can make the following fraction,
1090/1220
Simplify
= 109/122
Thus,
the answer is \(\frac{109}{122}\).
Hope this helps :)
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
Northern Europe: 550 medals
Western Europe: 540 medals
550 + 540 = 1,090
Northern Europe and Western Europe: 1,090
Other: 130
1,090 + 130 = 1,220
European Regions: 1,220 medals
1,090/1,220 = 109/122
Hope this helped!! ٩(◕‿◕。)۶
A t-shirt printing company charges a one-time setup fee, plus a charge to print each t-shirt. The math club had 75 t-shirts printed for a cost of $424. The science club had 50 t-shirts printed for a cost of $299. What is the cost of having 170 t-shirts printed? *
Answer:
$826.70
Step-by-step explanation:
If 75 t-shirts cost $ 424, it implies that the value of each shirt is $ 5.65 (424/75). Now, in the case of the 50 shirts, the total value is $ 299, with which the value of each unit is $ 5.98.
Thus, we can see that in an increase of 50% of the units (from 50 to 75), the discount is of the order of, as it arises from the following calculation:
5.98 = 100
5.65 = X
((5.65 x 100) / 5.98) = X
94.48 = X
Thus, since 100 - 94.48 is 5.52, the discount made for the 25 shirts is 0.22% each unit (5.52 / 25). Thus, in the case of printing 170 t-shirts, taking into account this tariff system, and taking as a base price that of 50 t-shirts at $ 299, a discount of 0.22% would be made on each of the 120 remaining t-shirts. Thus, 120 t-shirts at $ 717.6 (5.98 x 120) would be added to the initial $ 299, on which a 26.4% discount (0.22 x 120) would be applied, with which the final price would be $ 527.7 (717 x 0.736).
Thus, the total price of the shirts would be $ 826.7 (that is, adding the base price of $ 299 plus the price of the 120 extra shirts of $ 527.7).
Select the graph of the solution. Click until the correct graph appears. 2x - 1 > 5
open circle on 3
open circle on 3 pointing > right >
open circle on 3 pointing < left
Answer:
lick on 3 pointing left under the wear
A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?
Answer:
63
Step-by-step explanation:
Make a ratio:
5 : 7 = 45 : x
x = 63
1) You have three- fourths yards of pipe. How many pieces can you cut the pipe into if each piece is one-eighth yard?
Answer:
Step-by-step explanation:
(3/4)/(1/8)
(3/4)(8/1)
24/4
6 pieces of pipe
Is 23.187 an irrational number
23.187 is not an irrational number because it is a terminating decimal expansion.
Answer:No, It is not an irrational number.
Answer:
no
Step-by-step explanation:
Hoped it helped! :)
Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise.1 Fifty infants between the ages of 4-13 months were exposed to both happy-sounding infant speech and a hummed lullaby by the same woman. Interest in each sound was measured by the amount of time the baby looked at the woman while she made noise. The mean difference in looking time was 27.79 more seconds when she was speaking, with a standard deviation of 63.18 seconds. Perform the appropriate test to determine if this is sufficient evidence to conclude that babies prefer actual speaking to humming.
Required:
State the null and alternative hypotheses.
Answer:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
we reject the Null and we conclude that babies prefer actual speaking to humming.
Step-by-step explanation:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
Mean difference, d = 27.79
Standard deviation of difference, Sd = 63.18
Sample size, n = 50
The test statistic :
d / (Sd / √n)
Test statistic :
27.79 / (63.18 / √50)
27.79 / 8.9350012
= 3.11
Using the Test statistic score, we can obtain the Pvalue
Using the standard normal table ;
Pvalue = P(x<-Z or x>Z) = 0.0018709
Pvalue is very low
Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.
Assume that females have pulse rates that are normally distributed with a mean of 76.0 beats per minute and a standard deviation of 12.5 beats per minute.A) If 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute.
The problem is under normal distribution.
We need first to find the z-score in order to use the standard normal distribution table.
The formula of z-score is :
\(z=\frac{x-\operatorname{mean}}{\text{standard deviation}}\)From the problem,
mean = 76
standard deviation = 12.5
and we are looking for x < 83 (Take note of the word "less than")
Using the formula above :
\(z=\frac{83-76}{12.5}=0.56\)The z-score is 0.56
The normal distribution curve is :
So we will locate positive 0.56 and it is to the right of the centerline, if the z-score is negative we will use the other curve which is in negative side or left of the center line.
Using the table above, we will locate 0.56
0.56 = 0.5 + 0.06
First is to find 0.5 on the left side, and 0.06 on the top side.
The intersection is the probability which is also the area of the shaded region in the curve.
The intersection is 0.7123
Therefore, the probability is 0.7123
Looking at the table above ,
A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.
B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .
The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.
The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.
The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.
An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.
In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
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What is the solution to this inequality? 1/3x − 7>−4
Add 7 to both sides.
1/3x > −4 + 7Add −4 and 7 to get 3.
1/3x > 3Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.
x > 3 × 3Multiply 3 and 3 to get 9.
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Gabi has 8 boxes of compact discs on each 6 shelves each box contains 10 cds. How many cds does gabi have
Answer:
480
Step-by-step explanation:
8 boxes
x
6 shelves -- 48x10
480
which function is best represented by this graph
Answer:
Step-by-step explanation:
e
ASAP, PLSSS!!!! What is the range of the given function?
Answer:
[6, 8).
Step-by-step explanation:
When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.
In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.
Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.
Applying internal notation, the range of this function is:
[6, 8).
Learn more about interval notation here:
1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.
2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.
what is the slope of (0,-5) and (3,-1)
We have that the formula of the slope is
\(m=\frac{y_2-y_1}{x_2-x_1}\)where
(0,-5)=(x1,y1)
(3,-1)=(x2,y2)
we substitute the values
\(m=\frac{-1+5}{3-0}=\frac{4}{3}\)the slope is 4/3
Gareth has 15 total quarters and dimes with a total value of $2.10. A photo of a stack of quarters and a stack of dimes is shown. The system of equations can be used to solve for the number of each Gareth has. {Q+D=15 25Q+10D=210 Complete in the table to show the quantities and values of the coins Gareth has.
Answer:
4 Quarters and 11 Dimes
Step-by-step explanation:
In the first equation, we know that \(D=15-Q\) If we plug this into the second equation, we get 25q+10(15-Q)=210. If we simplify this equation, we get 25q+150-10q=210, which can be simplified to 15q+150=210. And since 15q=60, q=4. Then, you subtract 4 from 15, to get 11 dimes. So, there are 4 quarters and 11 dimes. Hopefully, this helps!
Evaluate : -35 ÷ (-7) =
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
A local cinema found that if the price of admission was $16, the attendance was about 950 customers per day. When the price of admission was dropped to $5,
attendance increased to about 1550 per day. Write a linear equation for the attendance in terms of the price,p. (A = mp+b)
Answer:
A = -10*p + 2220
Step-by-step explanation:
To write a linear equation let define
A = attendance
m = slope of the line
b = intercept of the line
p = Price of admision
let´s find m, using the two points (p,A)
point 1 = (13, 2050)
point 2 = (12, 2100)
m = (2100 – 2050)/(12-17) = -10
Replacing m in the equation
A=-10p+b
To find b, let´s use point 1
2050 = -10*17 + b
B = 2050 + 170
b = 2220
finally, the equation is
A = -10*p + 2220
A sick programmer was covered at work by two interns. It takes 3 times longer for one of them to do the work than for a programmer, and it takes twice longer for the other intern to do the work than for the same programmer. How many hours would it take a programmer to do all the work if two interns, working together, completed it in 6 hours?
Answer:
5 hours
Step-by-step explanation:
Denote the programmer's job rate (job/hour) by R.
The rate for one of the interns is R/3 and for the other R/2.
The two interns work for 6 hours to complete 1 job, so by rate times time equal work done
6(R/3)+6(R/2)=1
2R+3R=1
R=1/5 job/hour
So, it takes the programmer 5 hours
The sale price of a pair of pants is $24. This sale price is 80% of the original price. What was the original price?.
Answer:
$30
Step-by-step explanation:
x = original price
0.8x = 24
8x = 240
x = 30
Please help me with this math problem that I have how do I solve this problem? Thank you to anyone that wants to help me :)!.
Answer:68
Step-by-step explanation:
You can first subtract 104-36=68 so,68+36=104
Answer:
68
Step-by-step explanation:
You want to know the number of marbles Chloe originally had in her collection if adding 36 marbles gave her a total of 104.
EquationYou can let a variable (o) represent the original number of marbles. You would choose this because the original number of marbles is what you're asked to find. It never hurts to use a variable name that reminds you of what it stands for.
The problem statement tells you that adding 36 to the original number gives a total of 104. As an equation, this looks like ...
o + 36 = 104 . . . . . . adding 36 to o gives 104
SolutionThe properties of equality tell you that you can subtract the same number from both sides of the equation without changing the value of the variable.
Here, we want the variable by itself, so we want to get rid of the added number 36. We do that by subtracting 36 from both sides of the equation:
o +36 -36 = 104 -36 . . . . . subtract 36 from both sides
o = 68 . . . . . . . . . . simplify
This solution tells us that Chloe originally had 68 marbles.
__
Additional comment
The way to solve this, or any, "word problem" is to read and understand the relationships the words are telling you, and what the words are asking for. Then write those relationships as math expressions, choosing variables and a procedure that will give you what the question is asking for.
Here, we could choose a variable that represents the quantity we want to find. That is not always the case.
Sometimes, you have to find an "intermediate" value that you need in order to be able to answer the ultimate question. You're not done when you find that intermediate value; you're only done when you are able to answer the question asked.
Change to Ax+By=C form. y=-5x+9
The function is:
\(y=5x+9\)Now to put in the form Ax+By=c we hace to let the number that don't have x ot y in the left side of the equation anthe the rest of the term in the right side of the equation:
\(-5x+y=9\)where:
\(\begin{gathered} A=-5 \\ B=1 \\ C=9 \end{gathered}\)Use implicit differentiation to find an equation of the tangent line to the curve
sin(x+y)=4x−4y at the point (π,π)
Answer:
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
Step-by-step explanation:
o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:
Differentiate both sides of the equation with respect to x:
cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx
Simplify by grouping the terms with dy/dx on one side and the rest on the other side:
cos(x+y) * (1 + dy/dx) + 4dy/dx = 4
Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):
cos(2π) * (1 + dy/dx) + 4dy/dx = 4
Simplify:
-5dy/dx = 4 - cos(2π)
dy/dx = -4/5
Use the point-slope form of the equation of a line to write the equation of the tangent line:
y - π = (-4/5)(x - π)
Simplify:
y = (-4/5)x + (8/5) + π
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.