Answer:
y = -1
Step-by-step explanation:
5(2y−1)−2(2−y)+3(2y+9)=0
Step 1: Simplify both sides of the equation.
5(2y−1)−2(2−y)+3(2y+9)=0
(5)(2y)+(5)(−1)+(−2)(2)+(−2)(−y)+(3)(2y)+(3)(9)=0(Distribute)
10y+−5+−4+2y+6y+27=0
(10y+2y+6y)+(−5+−4+27)=0(Combine Like Terms)
18y+18=0
18y+18=0
Step 2: Subtract 18 from both sides.
18y+18−18=0−18
18y=−18
Step 3: Divide both sides by 18.
18y/18 = -18/18
Answer: y=−1
A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particular sample, the statistician must check the configuration of the machine. The distribution of metal thickness has mean 23.5 millimeters (mm) and standard deviation 1.4 mm. Based on the two-standard deviations rule for outliers, which is the greatest thickness that would require the statistician to check the configuration of the machine?
Answer: 26.3 mm
Step-by-step explanation:
According to the two-standard deviations rule for outliers, the values that does not lie within 2 standard deviations from mean are outliers.
If Mean = 23.5 millimeters (mm) and standard deviation = 1.4 mm
Then, greatest thickness need to check = mean + 2 (standard deviation)
= 23.5 + 2(1.4)
= 23.5 + 2.8
= 26.3 mm
hence, the greatest thickness that would require the statistician to check the configuration of the machine = 26.3 mm.
add= 38.42 and 7.1
please
Answer:
45.52
Step-by-step explanation:
38.42 + 7 is 45.42, and 45.42 + 0.1 is 45.52
Answer:
Let's look at the whole numbers first and put aside the decimals;
38 and 7, let's add these two: 38 + 7 = 45
Now let's look at the decimals;
0.42 and 0.10, let's add these two:
0 . 4 2 0 . 1 0+ _______
0. 52 → Next, we add the decimals and the whole numbers:45 + 0.52
= 45.52, 45.52 is your answer.The Smith family went to dinner at a restaurant and had a total bill of $120. If they left a tip of $21.60, what percent of the total bill did they leave?
the area of rectangular garden is 27000m2.if the ratio of length and beradth is 10:3 findits perimeter
Given :
The area of rectangular garden is 27000m² .The ratio of length and breadth is 10 : 3 .⠀
To Find :
The perimeter of the rectangular garden.⠀
Solution :
Let us assume the length as 10x m and breadth as 3x m .
⠀
We know that,
[tex]{ \longrightarrow{\quad \sf \pmb{ Length \times Breadth = Area_{(rectangle)}}} }[/tex]
⠀
Now, substituting the values in the formula :
[tex]{ \longrightarrow{\quad \sf{ 10x \times 3x = 27000 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ 30 {x}^{2} = 27000 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = \dfrac{27000}{30} }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = 900 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}= \sqrt{900} }}} [/tex]
[tex]{ \longrightarrow{\quad \bf{ {x}= 30 }}} [/tex]
⠀
Therefore,
Length = 10x m = 10(30) m = 300 mBreadth = 3x m = 3(30) m = 90 m⠀
Now,
We know that,
[tex]{ \longrightarrow{\quad \sf \pmb{Perimeter_{(rectangle)}=2(Length + Breadth) }} }[/tex]
⠀
Substituting the values in the formula :
[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(300 + 90) }} }[/tex]
[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(390) }} }[/tex]
[tex]{ \longrightarrow{\quad \bf \pmb {Perimeter_{(rectangle)}=780 }} }[/tex]
⠀
Therefore,
The perimeter of the rectangular garden is 780 m .The perimeter of the rectangle whose area is 27000 m² is 780 m.
What is the perimeter of a rectangle?The perimeter of a rectangle is the determinating of all the sides of the rectangle. In the given question, we have the following parameters:
Given that:
The area of the rectangle = 27000 m²The ratio of the length and the breadth is 10: 3It implies that, if the length is 10x, the breadth is 3x
The area of a rectangle = length × breath
27000 m² = (10x) × (3x)
27000 m² = 30x²
x² = 27000/30
x² = 900
x = √900
x = 30
Now, we can say that:
The length = 10(30) = 300The breath = 3(30) = 90The perimeter of the rectangle = 2(length + breadth)
The perimeter of the rectangle = 2(300 + 90)
The perimeter of the rectangle = 780 m
Learn more about the perimeter of a rectangle here:
https://brainly.com/question/19819849
#SPJ5
Which of the following expressions are equivalent? Why? If an expression has no match, write 2 equivalent
expressions to match it.
a 2(x+4)
6. 8+2x
c. 2x+4
d. 3(x+4)+(4 + x)
ex+4
Answer:
a and b are equivalent.
c, d and e are not equivalent.
So, 2 equivalent expression for c and are,
c.
( i ) 2 ( x + 2 )
( ii ) ( 4x + 8 ) / 2
d.
( i ) 3x + 16
( ii ) ( 6x + 32 ) / 2
Step-by-step explanation:
a.
2 ( x + 4 )
= 2 ( x ) + 2 ( 4 )
= 2x + 8
b.
8 + 2x can also be written as 2x + 8.
d.
3 ( x + 4 ) + ( 4 + x )
= 3 ( x ) + 3 ( 4 ) + 4 + x
= 3x + 12 + 4
= 3x + 16
Explain whether the following graph represents a function. Why or why not?
A- yes each x-value has a unique y-value
b- yes each x-value has a y-value that is not negative
c- no there is no negative y-values
d- no the graph is not liner
Answer:
no x values repeat, so yes it is a function
Step-by-step explanation:
What is the value of 6/7 + 8/21
Answer is 26/21
Or 1 5/21
A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of the red and blue coloring will the factory need in the 50-gallon batch of purple paint?
Answer:
1200 drops of red and 800 drops of blue.
Step-by-step explanation:
3*50=150 150*8=1200
2*50=100 100*8=800
Multiply by eight because there are 8 pints in a gallon.
little bit confused about this question
Answer:
B
Step-by-step explanation:
16.3x42.7+22.5x16.3 = 1062.76 (approximately 1063)
Answer:
1063 cm^2
Step-by-step explanation:
notice you have 4 triangles. Take advantage of that!
the formula for a triangle:
[tex]\frac{base * height}{2}[/tex]
the triangles on the left side are the same so
2 * ([tex]\frac{42.7 * 16.3}{2}[/tex]) = 696.01 cm^2
I multiplied it by 2 because there are two corresponding triangles.
on the right side it's the same:
2 * [tex]\frac{22.5 * 16.3}{2}[/tex] = 366.75 cm^2
Now add those values: 696.01 + 366.75 = 1,062.76 cm^2
make sure you round to the nearest square centimetre: then the answer is 1063 cm^2.
You could also use the area of a rhombus.
Find the value of\xx, y.y, and zz in the parallelogram below.
Answer:
Step-by-step explanation:
The value of x, y, and z in the parallelogram are, - 40, - 60 and 1 respectively.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram.
The opposing or confronting sides are of equal length and the sum of the adjacent angles is of equal measure.
From the given diagram,
(- 3x - 3)° + 63° = 180°.
- 3x - 3° + 63° = 180°.
x = - 40.
Similarly,
(- 3x - 3)° + (- y + 3°) = 180°.
-3(-40) - 3° - y + 3° = 180°.
y = - 60.
And,
(- y + 3°) + (z - 4°) = 180°.
180° + 3° + z - 4° = 180°.
z = 1.
learn more about parallelograms here :
https://brainly.com/question/29147156
#SPJ2
What fraction is not equivalent to 1/5
Answer:
1/4
Step-by-step explanation:
Answer:
2/5 I'm so confused rn but okay
The math team has 11 boys, 10 girls, and 1 coach. What is the ratio of coach to
students?
01/21
01/11
11/1
21/1
Answer:
1:21
The reason why is because adding 11 and 10 you get 21 and there is only one coach so you would get 1:21
Jose has four different kinds of thistle in his pasture.he estimates that of these thistle 1/2 are Canada thistle, 1/4 are bull thistles, 1/6 are plumeless thistles and the rest are musk thistles what fraction of the thistles are musk thistles
Answer:
1/12
Step-by-step explanation:
1-(1/2)-(1/4)-(1/6)=1/12
Answer:
1/12
Step-by-step explanation:
½ + ¼ +⅙
6/12 + 3/12 + 2/12 = 11/12
1 - 11/12 = 1/12
2. Josh has m marbles. Matthew has 5 more than triple the number of marbles that Josh has. In terms of m, how many marbles does Matthew have?
Which describes the correct way to convert minutes to hours? Divide the number of minutes by 24 Multiply the number of minutes by 24 Divide the number of minutes by 60 Multiply the number of minutes by 60 Mark this and return Save and Exit Next Sube
Answer:
divide the number of minutes to hours
Answer:
Its c which is divide the number by 60
Step-by-step explanation:
I did the quiz and got it right
At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts, using a scale from 1 to 10, where 10 is a perfect score. A statistician wants to see if the gymnasts (Factor A) differ in their performances and also wants to see if the scores vary significantly across judges (Factor B) in order to assess any bias in the judges. To do this the statistician uses a two-way ANOVA without interaction and the results are show below. At 0.05 level of significance, what is the critical value for testing differences in mean scores across the Gymnasts
Answer:
As 2.551 < 3.84 therefore we reject H0.
As 44.803 > 4.46 so we accept null hypothesis.
Step-by-step explanation:
The answer is attached.
There are three judges so v1 = 3-1= 2 and v2 = (4*2)= 8
There are five gymnasts so v1 = 5-1= 4 and v2= (4*2)= 8
For alpha = 0.05 we find the value of F1 and F2 from the table.
How to find range on a line graph ?
The range is the smallest number minus the largest number on a number line. Hope that helped!
a mathematical equation to define a relation whose second component y is 5 less than the first component x .
At a dog shelter, a 28-pound bag of dog food will feed 42 dogs. How many dogs would you expect to feed with a 14-pound bag of dog food?
Answer:
21 dogs
Step-by-step explanation:
A fruit canned processing factory produces 7 types of products. How many ways to schedule production in 1 week with 7 products above if the factory produces only 1 product per day? If the factors overtime to produce 2 types of products each day how many ways will the be schedules for the first day of the week?
(7x^2-2) - (2x^2 - 5x + 3)
(7x^2-2) - (2x^2 - 5x + 3)
Answer:
5(x^2+x-1)
Which is the graph of y = ⌊x⌋ – 2
Answer:
C
Step-by-step explanation:
The answer you selected is correct
The y-intercept should be (0, -2)
The slope should be 1
Solve for X -3x + 6 = -21
Answer:
x=9
Step-by-step explanation:
subtract the 6 on both sides: -3x+6=-21
-6. -6
divide -3 on both sides: -3x=-27
÷-3. ÷-3
after dividing u get x alone and and the answer which is: x=9
Help!
What is the answer to this Question?
Answer:
Vertical
Step-by-step explanation:
It's actually supposed to be supplementary, but since there is none, I mostly think it's vertical.
(8.9 x 10^9) + (4.2 x 10^6)
Answer:
=8904200000 <3
Step-by-step explanation:
Answer:
8,904,200,000
Step-by-step explanation:
Which model can be used to show the sum of one and two fifths plus one and two fifths
A number line from zero to four partitioned into fifths. There is one hop of one and two hops of one fifth from one and two fifths to two and four fifths.
A number line from zero to four partitioned into fifths. There are two hops of one and one hop of one fifth from one and one fifth to three and two fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
A, a number line from zero to four partitioned into fifths. There is one hop of one and two hops of one-fifth from one and two-fifths to two and four-fifths :)
Answer: it’s A. I think
Step-by-step explanation: I hope this helps!
7ft.=____ in. help
Answer:
84 inches
Step-by-step explanation:
There are 12 inches in one foot so you just need to multiply.
12 x 7 = 84
Hope that helps and have a great day!
Which square root is NOT a whole number?
A)
[tex]\sqrt144
B)
[tex]\sqrt156[/tex]
C)
[tex]\sqrt169[/tex]
D)
[tex]\sqrt196[/tex]
Answer:
B, [tex]\sqrt 156[/tex]
Step-by-step explanation:
B [tex]\sqrt156 = 12.489996[/tex]
A[tex]\sqrt144=12[/tex]
C[tex]\sqrt169=13[/tex]
D[tex]\sqrt196=14[/tex]
Which of the following are factor pairs for 72? You will select two. *
1 point
2 x 36
3 x 18
6 x 12
8 x 8
Answer:
2 x 36 = 72
6 x 12 = 72
Step-by-step explanation:
Other 2 are not 72.
Answer:
8x8 i think im right though
Find the perimeter simple
20 points and brainliest
Answer:
62, the person in the comments helped me notice it was not as simple as it seemed.
The formula for finding perimeter is add all sides.[tex]23 + 6 = 29[/tex] « First two lengths
[tex]8 + 9 = 17[/tex] « Second lengths
[tex]23 - 9 = 14missing[/tex] « The missing length which was difficult for me
[tex]17 + 29 + 14 + 2 = 62[/tex] « Adding all lengths combined
Hope this helps. Let me know if it's right this time.
Answer:
62
Step-by-step explanation:
Ok so we have all but two identified lengths, but we can find them pretty quickly. To find the horizontal unidentified length, we can write 23-9=14 and get out length. To find the vertical length we can write 8-6=2 to get the length. Now add all lengths together 23+8+9+2+14+6=62 to get the perimeter. Just putting it here for the points :)