Answer:
The numbers are 6 and 2
Step-by-step explanation:
Given this scenario, we can set up the following equations:
x + y = 8
x² + y² = 40.
___________
x + y = 8
y = 8 – x
(y)² = (8 – x)²
y² = (8 – x)²
x² + y² = 40
x² + (8 – x)² = 40
x² + 64 – 16x + x² = 40
2x² – 16x + 64 = 40
2x² – 16x = -24
2(x² – 8x) = -24
x² – 8x = -12
x² – 8x + 12 = 0
(x – 6)(x – 2) = 0
x = 6 or 2.
x + y = 8 →
(6 or 2) + y = 8
y = 8 – (6 or 2)
y = 2 or 6.
___________
x + y = 8 →
6 + 2 = 8 →
8 = 8 ✓
x² + y² = 40 →
6² + 2² →
36 + 4 = 40 →
40 = 40 ✓
Line m is mapped onto line n by a dilation centered at the origin with a scale factor of 2. The equation of line m is 3x−2y=63x-2y=63x−2y=6 . Find the equation for line n showing all work for full credit.
9514 1404 393
Answer:
3x -2y = 12
Step-by-step explanation:
The constant in the standard form equation for a line is proportional to the distance of the line from the origin. Dilation by a factor of 2 moves the line to twice its original distance from the origin. The equation of the new line will have the constant 2×6 = 12:
3x -2y = 12
_____
Additional comment
The actual distance of line ax+by=c from the origin is ...
d = |c|/√(a²+b²)
The distance from any point in the plane to the line is ...
d = |ax +by -c|/√(a²+b²)
The previous equation is for the special case of (x, y) = (0, 0), the distance from the origin.
can someone tell me the answer please
please help! will report if it’s a link, I don’t fall for those
Answer:
The answer is 14[tex]\pi[/tex] mm.
Step-by-step explanation:
Answer:
C=2x3.14xR
Step-by-step ex:
C=2x3.14x7
2x7=14
Sooo 14(3.14)mm
Mrs. Silverstein bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to serve each guest 1 quarter of a cake.
How many guests can she serve with all her cakes?
In certain regions of the country, elk can cause damage to agricultural crops by walking through the fields. One strategy designed to limit elk from crossing a field is to surround the field with a fence. Some elk, however, will still be able to bypass the fence. For a period of one month, the number of elk found crossing a sample of fields with a fence was recorded and used to construct the 95 percent confidence interval (2.9,4.4) for the mean number of elk. Assume that the conditions for inference were checked and verified.
Required:
The interval (2.9, 4.4) provides convincing statistical evidence which claims?
Answer:
The mean number of elk to cross all fields protected by fence is equal to 3.65 per month.
Step-by-step explanation:
Given the confidence interval : (2.9,4.4)
Confidence = xbar ± standard Error
To obtain the mean :
We first calculate the standard error :
Standard Error from confidence interval :
(Upper boundary - Lower boundary interval) / 2
(4.4 - 2.9) / 2
1.5 / 2
= 0.75
Hence, the mean can be obtained as :
(Lower boundary + 0.75) or (Upper boundary - 0.75)
Lower boundary + 0.75 = 2.9 + 0.75 = 3.65
Upper boundary - 0.75 = 4.4 - 0.75 = 3.65
Brianna evaluated the expressions 42+4 (6-2). Which number shows the correct solution.
52,58,62,68
Answer:
58
Step-by-step explanation:
42+4(6-2) =
42+4(4) =
42+16 = 58
Answer:
58
Step-by-step explanation:
well first you have to do order of operations so do the stuff in the parentheses first so it would be 42+4(4) then you do multiplication and would get 42+16 and once you add that together you get 58
Thank you so much if you help me! Which equation can be used to find the area of a rectangle
Answer:
A
Step-by-step explanation:
to find the area of the rectangle you have to multiply length x width.
In this case that would be
(20) (9.2)
Difference between a multiple choice and Multiple response
Answer:
Multiple choice means you get the more than one option and one of those options are correct while the rest are incorrect Multiple response means that you have to add more then one response to answer the question
Answer: multiple choice is when you have to pick one or more answers and Multiple response is one or more sentences
Step-by-step explanation:
Discount
Walmart offers a shirt initially at $100. Then one week later, Walmart offers the shirt at 15% off. The
shirt still doesn't sell, so after another week, Walmart reduces its new price by 20%. How much does the
shirt cost now?
Choose one. 5 points
$68.00
$65.00
$69.00
$60.00
Answer:
$65.00
Step-by-step explanation:
Cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
What is Cost price?" Cost price is defined as the price to be paid at the time of purchase any product."
According to the question,
Initial cost price of shirt [tex]= \$100[/tex]
First discount [tex]= 15\%[/tex]
Discount amount [tex]= 15\%[/tex] of [tex]100[/tex]
[tex]= \frac{15}{100} \times 100\\\\= \$15[/tex]
Cost price after first discount [tex]= 100 - 15[/tex]
[tex]= \$85[/tex]
Second discount [tex]= 20\%[/tex]
Discount amount [tex]= 20\%[/tex] of [tex]85[/tex]
[tex]= \frac{20}{100} \times 85\\\\= \$17[/tex]
Cost price after first discount [tex]= 85 - 17[/tex]
[tex]= \$68[/tex]
Hence, cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
Learn more about cost price here
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6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?
Answer:
Try A
Step-by-step explanation:
382.4cm
What is the answer for this question
Answer:
68
Step-by-step explanation:
16^2= 2x16/16+16=32
32-100=68
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots. Which is the total weight of the lettuce and carrots in ounces?
A. 10 ounces
B. 12 ounces
C. 40 ounces
D. 72 ounces
The total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We have:
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.
As we know:
1 pounds = 16 ounces
Amount of lettuce = 8 ounce
Amount of carrots = 2 pounds = 2×16 = 32 ounces
Total weight of the lettuce and carrots in ounces = 8 + 32 = 40 ounces
Thus. the total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.
Learn more about the unit conversion here:
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3. Mr. Yardi will buy pens for all 19
employees at his store. He wants to give
each employee 3 pens. If he buys pens
in packages of 12, what is the minimum
number of packages of pens Mr. Yardi
needs to buy to have enough pens?
Answer:
Mr. Yardi needs to buy 5 packages of pens
Step-by-step explanation:
He needs to buy 57 pens (19X3 = 57)
57/12 = 4.75
He neesd more than 4 packages So he needs to buy 5 packages and it will be 3 pens left so Mr Yardi can also have 3 pens if he wants
100 POINTS!!!!!!! BRANLIEST!!
What is the exponential regression equation to best fit the data? Round each value in your equation to two decimal places. Enter your answer in the box. yˆ =
Answer:
y=11.5466(1.8484)^x
Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZ
x y
0 14
1 23
2 30
3 58
4 137
5 310
To Find: What is the exponential regression equation to best fit the data?
Solution:
General form of exponential regression equation : y=ab^x
So, using calculator
Regression Equation: y=11.5466(1.8484)
Hence the exponential regression equation to best fit the data is
y=11.5466(1.8484)^x
Answer: 11.55 (1.85)^x
After finishing an online purchase, a popup invites you to participate in a customer satisfaction poll.
What type of bias is most likely to present?
a) Sampling bias
b) Voluntary response bias
c) Self interest study
d) Loaded questions
5. Ten workers are fencing a 25 m by 28 m stadium. They had finished fencing 95 m.
How many more metres of fence co they need to build?
A. 11 m
C. 148 m
B. 106 m
D. 201 m
Answer:
A. 11 m
Step-by-step explanation:
Given that
the ten workers are fencing 25 m by 28 m
And, they finished the fencing 95 m
We need to find out the number of more meter of fence that could be developed
So,
= (25+25) + (28+28)
= 106 - 95
= 11
Hence, 11 more meters should be build
Therefore the correct option is A.
Felipe buys candy that costs $7 per pound. He will spend at least $56 on candy. What are the possible numbers of pounds he will buy?
Answer:
x ≥ 8
Step-by-step explanation:
Let x be the number of pounds he buys. As each pound costs 7 dollars and he must spend at least 56 dollars, we have:
7x ≥ 56
x ≥ 8 (divide each side by 7)
Thus, our answer is any number above 8.
You and a friend decided to open a photo print shop. The cost for printing a photo is $0.10 and sells for $0.25. The initial setup fee for equipment is $2,599. Determine how many photos you and your friend must sell to break even. Round your answer the ones place.
Answer:
2599 / 0.15 = 17327 (rounded)
Step-by-step explanation:
Can I have brainliest? Hope this helped and have a nice day!
Annie buys some greeting cards. Each card costs $1.75. She pays with a twenty dollar bill. Let n represent the
number of greeting cards Annie buys. Write an expression that represents the amount of change Annie should
receive
Answer:
20÷1.75= 11
so Annie gets 11 cards 1.75×11=19.25
20-19.25=0.75
so Annie will get 75¢
Last year there were 750 students enrolled in Park School, but this year there are only 685 students enrolled. What is the percent of decrease? Round to the nearest tenth.
Answer:
91 (1/3)
Step-by-step explanation:
first do 750 / 100 becuase thats is 100%
the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer
Answer:
-8.6666666666667% decrease
Step-by-step explanation:
classify the triangle by its sides and by measuring of its angles
Find the numbers of faces, edges, and vertices of the solid.
number of faces:
number of edges:
number of vertices:
Answer:
# of faces:7
# of edges: 15
# or vertices: 10
Answer:
7 10 15
Step-by-step explanation:
HELP ASAP I DON'T UNDERSTAND
A hammock holds a maximum of 360 lbs. Three kids want to go on the hammock. If each kid weighs the same, what is the greatest weight, in pounds, each kid could be to go on the hammock. Write and solve an inequality to represent this situation
Answer:
120lbs
Step-by-step explanation:
360lbs÷3 =120lbs
Solve for x.
2x + 15
3x - 20
x = [?]
Answer:
x= 7
3x-20
2x+15
you would add 3x+2x equals 5x and 20 +15= 35
5x+35
35 divided by 5 is 7 and then on the 5x divide by 5 and leaves x=7
Answer:
35
Step-by-step explanation:
Angles 2x + 15 and 3x - 20 are adjacent angles.
Adjacent angles are equal.
3x - 20 = 2x + 15
3x - 2x = 15 + 20
x = 35
Help please! Ill give branliest :)
Answer:
425 grams divided by 28.3 = 1 ounce is about 15 ounces
Step-by-step explanation:
Since there are 425 grams in total and 28.3 GRAMS = 1 OUNCE that means. Every 28.3 grams in the total of 425 grams are ounces so we divide it by the 28.3 in order to find the ounces since every 28.3 grams are ounces!
Answer:
...............15 .................
A water desalination plant can produce ×2 x 10^6 gallons of water in one day. How many gallons can it produce in 77 days
Answer:
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Which of the following three-dimensional solids cannot be generated by rotating a two-dimensional figure around an axis?
sphere
pyramid
cylinder
cone
Answer:
Step-by-step explanation:
Sphere
Heather received a 90 gift card for a coffee store. She used it in buying some coffee that cost $8.49 per pound. After buying the coffee, she had $56.04 left on
her card. How many pounds of coffee did she buy?
pounds
2
Answer:
Latoya bought 4 pounds of coffee.
Step-by-step explanation:
it sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:
90 - 57.68 = 32.32
Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:
32.32/8.08 = 4
Latoya bought 4 pounds of coffee.
Given the following regression output, what is the expected value for the change in daily circulation (the dependent variable) if a newspaper had 35 winners and finalists between 2004 and 2014 and 14 winners and finalists between 1990 and 2003?
Model parameters (Change in Daily Circulation, 2004-2013):
Source Value Standard error t Pr > |t| Lower Upper
bound (95%) bound (95%)
Intercept -0.328 0.042 -7.890 <0.0001 -0.412 -0.244
Pulitzer Prize
Winners and
Finalists,
1990-2003 -0.015 0.008 -1.873 0.067 -0.030 0.001
Pulitzer Prize
Winners and
Finalists,
2004-2014 0.024 0.008 2.837 0.007 0.007 0.040
Pulitzer Prize
Winners and
Finalists,
1990-2014 0.000 0.000
Answer:
0.512 ; - 0.538
Step-by-step explanation:
Using the standard linear regression relation :
y = bx + c
b slope ; c = intercept ; y = dependent ; x = independent variable.
For finalist between 2004 - 2014 ;
y = 0.024x - 0.328
x = 35
y = 0.024(35) - 0.328
y = 0.512
For finalist between 1990 - 2014 ; with 14 winners ; change in daily circulation :
y = -0.015x - 0.328
x = 14.
y = -0.015(14) - 0.328
y = - 0.538
A store sells posters. Each poster costs the same amount. Durning a sale, the store produces the price of each poster by $1.35. Malika spends $7.08 on 2 posters at the sale price
If you don’t mind can you put an explanation so I can understand if that’s alright!
Answer:
its 18,2O596
Step-by-step explanation: