y - -2x - 6 (1)
y = x+15 (2)
From (2) we get x = y-15
We put that in (1) and we get -2(y-15)-6 = y
-2y+30-6 = y
-2y+24=y
-2y+24-y=0
-3y+24 = 0 ==> -3y = -24 ==> y = 8
We put that value in (2) and we get x = 8-15 = -7
Now in order to verify this, we replace the variables and see if (1) = (2)
y = -2x - 6 ==> (-2 * -7) - 6 = 14-6 = 8 (1')
y = x + 15 = -7 + 15 = 8 (2')
(1') = (2') ==> the solution is x = -7 and y = 8
Answer:
x=−2y=2
Step-by-step explanation:
Take the value of x from the first equation:x=2−2y (1)and substitute for x into the second:y=2(2−2y)+6
solve for y ;y=4−4y+6y=105=2
Substitute back into
(1) and find :x=2−4=−2
Explain how to solve this equation using order of operations
A bag contains 9 pennies , 8 nickels, and 5 dimes. How many quarters should be added to the bag so the probability of drawing a dime is 1/6?
Answer:
A bag contains 9 pennies, 8 nickels and 5 dimes: 22 coins total
5/30 = 1/6
22 + 8 = 30
8 quarters would give the needed 30 coin total
P(dime) = 5/30 = 1/6
Step-by-step explanation:
No quarters should be added to the bag so the probability of drawing a dime is 1/6
Let x be the number of quarters to be added to the bag.
The probability of drawing a dime can be found by dividing the number of dimes in the bag by the total number of coins in the bag after adding x quarters.
The total number of coins in the bag before adding any quarters is:
9 pennies + 8 nickels + 5 dimes = 22 coins
After adding x quarters, the total number of coins in the bag becomes:
9 pennies + 8 nickels + 5 dimes + x quarters = 22 + x coins
The probability of drawing a dime is given as 1/6.
So, we can set up the equation:
5 / (22 + x) = 1/6
30 = 5(22 + x)
30 = 110 + 5x
-80 = 5x
x = -16
Since x represents the number of quarters to be added, it cannot be negative. Therefore, it is not possible to add any quarters to the bag so that the probability of drawing a dime is 1/6.
Hence, the answer is zero quarters.
Learn more about probability here;
https://brainly.com/question/9326835
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What is the mean for Doctor A’s data set on corrective lenses? What is the mean for Doctor B’s data set on corrective lenses? Write a sentence comparing the number of people who wear corrective lenses in the two data sets.
Answer: Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.
Step-by-step explanation:
To find the mean for corrective lenses, add up all of the numbers and divide by the number of data points.
Doctor A's mean:
Add up the data points: 745+726+769+765+756+742+747+748+770+738 = 7516. Count the number of data points to get 10. Divide 7516 by 10. 7516/10 = 751.6.
Doctor B's mean:
Add up the data points: 763+736+735+759+748+756+765+761+768+761 = 7552. Divide by 10. 7552/10 = 755.2
Difference:
755.2-751.6 = 3.6
Answer:
Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.
stop deleting my answer
you scarmer
Step-by-step explanation:
PLEASE HELP
A square coffee table has an area of 150 square inches. What is the length of the coffee table? Round your answer to the nearest hundreth.
Length of the coffee table will be 12.25 inch
What is Area of square?
The area of square is length time width.
Given that;
Area of square coffee table = 150 square inches.
Now,
Area of square = (side)²
Substitute the value of area of square,
Side² = 150
Take square root both sides,
Side = √150
Side = 12.247
After rounding it,
Side = 12.25
Thus, Length of the coffee table will be 12.25 inch.
Learn more about the square visit:
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4) Damian wrote a sentence using the fractions ş and
2
6
2 2
"The numerators of
and
3
are equal, so the fractions are
6
equal."
Damian is incorrect in his reasoning.
• Explain why Damian is incorrect in his reasoning about
numerators.
2
using < or >
6
• Explain why your reasoning is correct.
Answer:
Barbra’s front porch is 7 meters wide. Jakes front porch is 7,000 millimeters wide. Who has the wider porch.
Step-by-step explanation:
Answer the following about estimating 342/6 .
Answer:
Step-by-step explanation:
well,
300/6 = 50
360/6 = 60
since 360 is closer,
360/6
360>342
it is also an overestimate
question is below in picture.
Answer:
295
Step-by-step explanation:
y=157 because the other angle is 23
x = 138 because the other angle is 42
Again babysitting and homework
Answer:1496
Step-by-step explanation:
just plug in to the formula for hexagonal prism volume and it equals 1496.49 which rounds to 1496 if you're rounding to the nearest whole number
PLEASE HELP ME OUT TY!!!!!!
(use the number line)
Solve for x using cross multiplication.
Answer: x = 2
Step-by-step explanation:
[tex]$$Solve for $x$ :$$\frac{x+4}{3}=\frac{x+6}{4}$$Multiply both sides by 12 :$$\frac{12(x+4)}{3}=\frac{12(x+6)}{4}$$$$\begin{aligned}&\frac{12}{3}=\frac{3 \times 4}{3}=4 \\&4(x+4)=\frac{12(x+6)}{4}\end{aligned}$$$$\begin{aligned}&\frac{12}{4}=\frac{4 \times 3}{4}=3 \\&4(x+4)=3(x+6)\end{aligned}[/tex]
[tex]$$Expand out terms of the left hand side:$$(4 x+16)=3(x+6)$$Expand out terms of the right hand side:$$4 x+16=(3 x+18)$$Subtract $3 x$ from both sides:$$(4 x-3 x)+16=(3 x-3 x)+18$$$$\begin{aligned}&4 x-3 x=x: \\&x+16=(3 x-3 x)+18\end{aligned}$$[/tex]
[tex]\begin{aligned}&3 x-3 x=0: \\&x+16=18\end{aligned}$ \\\\\ Subtract 16 from both sides:$$\begin{aligned}&x+(16-16)=18-16 \\&16-16=0: \\&x=18-16\end{aligned}$$$$18-16=2$$Answer:$$x=2$$[/tex]
4(x+4) = 3(x+6)
4x + 16 = 3x + 18
4x - 3x = 18 - 16
x = 2
hope it helps...!!!
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 2 units wide.
Answer:
48
Step-by-step explanation:
You add 4 to the 5 and the 3 (because there are 2 sides equal to 2). You multiply that to get the area of the entire figure(63), then subtract the area of the small rectangle (15) and get 48
Hope this helped!
You are seated next to the pilot of a small plane at an altitude of one mile. Huge mountains loom directly ahead. The pilot does not change speed, direction, or elevation, yet you survive. How come? I NEED HELP RNNNN
Simplify the expression. Write your answer using decimals.
Answer:
−2.5d−0.7
Step-by-step explanation:
1 Expand by distributing terms.
-(2.5d+5)+4.3
2 Remove parentheses.
-2.5d-5+4.3
3 Collect like terms.
-2.5d+(-5+4.3)
4 Simplify.
-2.5d-0.7
Answer And Explain Please!
Answer:
40in^2
Step-by-step explanation:
Add all the sides up
Which equation best represents this statement?
Negative five-sixths times the sum of a number and six and two tenths is seven and five-tenths.
Negative StartFraction 5 over 6 EndFraction x + 6.2 = 7.5
Negative StartFraction 5 over 6 EndFraction + 6.2 x = 7 and StartFraction 5 over 10 EndFraction
Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5
(Negative StartFraction 5 over 6 EndFraction + x) (6.2) = 7 and StartFraction 5 over 10 EndFraction
Answer:
-5/6(x+6.2)= 7.5
or
3. Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5
Answer:
5/6(x+6.2)= 7.5
3. Negative StartFraction 5 over 6 EndFraction (x + 6.2) = 7.5
Step-by-step explanation:
How much salsa is missing from the jar? Round to the nearest whole cubic centimeter.
A jar of salsa is shown having a height of 10 centimeters. The radius of its lid is marked as 5 centimeters. The amount of salsa in the jar has a height of 4 centimeters from the bottom.
Answer:
200
Step-by-step explanation:
10x4x5 is $200 so that is the cubic centimeter
Answer:
471 cubic centimeters
Step-by-step explanation:
The empty space in the far is a cylinder with a height of 10 -4+6 centimeters and a radius of 5 centimeters. So, about 471 cubic centimeters of salsa are missing from the jar. 41.
I need help with a assignment on McGrawhill pls help its due soon
Based on the records for the past several seasons, a sports fan believes the probability the red team wins is 0.70. The fan also believes the probability the blue team wins is 0.75. In a season with 160 games, how many fewer games should the fan expect the red team to win?
Answer:
The answer is 8
Step-by-step explanation:
Red Team:160*.70=112
Blue Team:160*.75=120
120-112=8
What is instant subtraction?
Hoped this helps:)
:DDDDDD
-1/2 divided by 1 3/4 as a fraction in simplest form
[tex]\Large\textsf{\textbf{Answer\;:}}}[/tex]
[tex]\large\textsf{refer\:to\:the\:"calculations"\:section\:of\:this\:ans}[/tex]
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
[tex]-\displaystyle\frac{1}{2} :1\frac{3}{4}[/tex]
First , convert the mixed number (the fraction we are dividing by in the given maths problem) into an improper fraction .
Multiply the whole part (1) times the denominator (4) and add the numerator . The result is the numerator of our fraction , and the denominator stays the same .
So now our maths problem looks as follows :
[tex]-\displaystyle\frac{1}{2} :\frac{7}{4}[/tex]
Now turn the fraction you are dividing by over :
[tex]-\displaystyle\frac{1}{2} *\frac{4}{7}[/tex]
Now multiply the numerator of the first fraction times the numerator of the second fraction :
4
Perform the same operation with the denominators :
-4/14
So the result is :
[tex]-\displaystyle\frac{4}{14}[/tex]
Since the above fraction is not in it's simplest form , we divide the top and bottom by 2 (a common factor of both 4 and 14) :
[tex]-\displaystyle\frac{2}{7}[/tex]
[tex]\footnotesize\textsf{hope\:helpful~}[/tex]
An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house.
(there's 2 answers btw, dont just pick 1, thats a common mistake in these)
A. (1×3×4)+(2×5×3)
B. (1×3)+(4×2)+(5×3)
C. (1×3×2)+(6×3×2)
D. 3×(1+4)+2×(5+3)
E. (3×4)+1×(2×5)+3
Answer:
A and C
Step-by-step explanation:
To find the volume of the hamster house, you have to separate the full shape into two shapes that you can solve the volume of. Once you do this, find the volume of each one and add them together to get the volume, 42. Now, use a calculator to evaluate these equations and see if the answer matches the volume that you found. Hope this helped!
What is the area of the circle? Round to the nearest whole number, if necessary
Answer:616 cm²
Step-by-step explanation:
PLEASE HELP IM TIMED I'LL GIVE 45 POINTS!!!!!
Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.
Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.
Option 2: Poll every third patron who enters the library on Technology Appreciation Day.
Which statement about the methods of collecting data is true?
Jayce should not use either option. Option 1 is likely to be biased so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
Jayce should use Option 2. Option 1 is biased so that paperbacks are overrepresented, but Option 2 will give balanced results that reflect the general population.
Jayce should use Option 1. Option 2 is biased so that e-books are overrepresented, but Option 1 will give balanced results that reflect the general population.
Jayce should use whichever one is most convenient for those taking the polls because both options will give balanced results that reflect the general population.
Answer:
Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
Step-by-step explanation:
Given:
Jayce volunteers for the local library. The librarian wants to find out whether the patrons prefer paperback books or e-books. Jayce cannot decide which method to use for polling the patrons.
Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day.
Option 2: Poll every third patron who enters the library on Technology Appreciation Day.
Since, Option 1: Poll every fifth patron who enters the library on Paperback Lovers Day. It biased because since it paperback lovers day thus, it would be likely that most people like the paperback which make it biased.
Since, Option 2: Poll every third patron who enters the library on Technology Appreciation Day. It biased because since it technology appreciation day thus, it would be likely that most people don't care about these stuff since people coming in are for technology appreciation.
Therefore, the answer is:
Jayce should not use either option. Option 1 is likely to be based so that paperbacks are overrepresented, while Option 2 is likely to be biased so that e-books are overrepresented.
Kavinsky
can someone named these TuT
the one's that have circles around the numbers
Answer:
2. triangular pyramid
3. square pyramid
4. rectangular prism
6. triangular prism
Step-by-step explanation:
Help me with this too
:-(
Answer:
C
Step-by-step explanation:
what is it you don't understand about this ?
the question only asks about a wallpaper border, which is a strip.
so, we don't need any areas, we only need the perimeter of the room.
that means we need to add up all sides.
the little "missing corner" on the top right would hurt us for the area of the room, but not for the perimeter.
just imagine, the room would be a perfect rectangle.
how long would the top side be ?
right, identical to the bottom side : 8 ft.
and how long would the right side be ?
right, identical to the left side : 4 yds.
now, look closely, did we lose (or add anything) of/to the side lengths by the missing corner up there ?
we lost area, but ... we did not lose perimeter distance !
i know, this sounds funny, but it is true. look again.
the short right side plus the long right side are together still the same length as the left side : 4 yds.
and the long top side and the shorter lower top side together are still the same length as the bottom line : 8 ft.
attention trap : the left and right sides are in yds.
1 yd = 3 ft !
so, long story short, the perimeter is as for a normal rectangle
2×length + 2×width = 2×8 + 2×4×3 = 16 + 8×3 = 40 ft
and the border costs $3 per ft, so we get
3×40 = $120
as the total price for the border.
Use each table to find the requested ratio.
Answer:
Step-by-step explanation:
1. 1:4
2. 1:2
3. 5:1
What does x equal? Image below
Answer:
52
Step-by-step explanation:
since HI and JK are parallel lines, angle K is congruent to angle I.
Now that you know that, we just need to know that a triangle's angles always add up to 180 degrees which means that x is 180-62-66
Answer:
Angle x = 52
Step-by-step explanation:
Angle HIA = Angle JKI = 63
This is because both angles are corresponding angles HI//JK
Angle x = 180 - 66 - 62
= 52
Help me out with this math problem for 50 points!!!
Answer:
1) t < 7 degrees
2) x >( the sign needs to be underlined) 42
3)r >(the sign needs to be underlined) 125
Step-by-step explanation: There you go, I did my best =)
A full bag of dog food weighs 5 1/2 pounds.How much dog food do you have if there are 3 bags in the cupboard? I GIVE BRAINLIEST
Answer:
16 1/2 pounds of food.
5 1/2 x 3 = 16 1/2
Answer:
33/2 lbs
Step-by-step explanation:
5 1/2*3=
11/2*3=
33/2 lbs
Ron drew a quadrilateral with 4 right angles and 4 sides with the same length. What figure best describes his quadrilateral
Answer:
Square
Step-by-step explanation:
A square has four right angles and four equal sides.
Answer:
square
Step-by-step explanation:
4 sides with the same length is a square because if not the answer would be incorrect
2nd the shapes only with 4 right angles is a square or a rectangle anyways
sorry if this user name is weird my brother made this account
