Answer:
12 is the answer
Step-by-step explanation:
18- 3×2= 18- 6 = 12
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The (Awesome) Coordinate Plane Activity
Quameer McCain
Target Practice #5
Enter an ordered pair below so that the point hits the
bullseye.
Press "Submit" to check the location of your point.
. (9,3)
Submit
• (-1, -8)
An ordered pair is simply the x-coordinate and the y-coordinate of a point.
The ordered pair of the bullseye is (4,-2.5)
From the given image (see attachment), we have:
[tex](x_1,y_1) = (9,3)[/tex]
[tex](x_2,y_2) = (-1,-8)[/tex]
The bullseye is at the midpoint of these two points.
So, the ordered pair of the bullseye is calculated using the following midpoint formula.
[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
So, we have:
[tex](x,y) = (\frac{9-1}{2},\frac{3-8}{2})[/tex]
[tex](x,y) = (\frac{8}{2},\frac{-5}{2})[/tex]
[tex](x,y) = (4,-2.5)[/tex]
Hence, the ordered pair of the bullseye is (4,-2.5)
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Solve using substitution.
6x + y = 7
8x + 9y = 17
(_,_)
Please help me I really need it
Plz help
Elimination method
1.
3x-5y=3
4x-15=-21
2. 1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?
Answer:
1. (6,3)
2. x = 850, y = 150
Step-by-step explanation:
1. 3x-5y=3
4x-15y=-21
-9x +15y=-3 (multiply by -3)
4x-15y=-21
-5x=-30
x = 6
3(6)-5y=3
18-5y=3
-5y= -15
y= 3
so, x = 6, y = 3
2.
let x be regular
let y be reserved
x+y=1000
x= 5, y= 5+2=7 ("2 dollar more")
5x+7y=5300
x+y=1000
use the elimination method
x=850, y=150
so, the regular tickets were 850 and reserved tickets were 150 sold.
Simplify addition radical expression
√36+√64
Answer:
14
Step-by-step explanation:
√36+√64
√36=6
√64=8
6+8
14
THANK YOU
What is the difference between opposites and integer
Answer:
An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa
Step-by-step explanation:
-5 and 5 are an example.
A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
So the length of the edge of a cube with a volume of 125 is 5 inches
Step-by-step explanation:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.
So if we take the edge of the cube to be of length x, then:
Volume=x3
125=x3
5=x
If a metallic cylinder having volume 1540 cm^3 is melted to form cylinder having height 10 cm what is radius of cylinder
Answer:
radius is 7 cm
Step-by-step explanation:
formular for volume:
[tex]V = \pi {r}^{2} h [/tex]
r is radius
h is height
[tex]1540 = 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 49.0 \\ r = 7 \: cm[/tex]
find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26
Answer:
B____C____D_____E
BC+ CE = BD + DE
(3x+47) + (x+26) = ( x+27) + (10)
4x + 73 = x + 37
4x – x = 37 – 73
3x = ‐ 36
x = – 36/ 3 —> x = – 12
BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11
BD = x+ 27 = –12+27 = 15
CE = x + 26 = –12+26= 14
So; BE = BD+ DE = 15+ 10= 25Or ;BE= BC + CE = 11+ 14 = 25I hope I helped you^_^
Write the equation in the point slope form for the line that contains the points (-2,-3), (4,3)
Answer:
Answer is 4 I think!!
Find the length of AB
Answer:
52
Step-by-step explanation:
AB is the hypotenuse of the right triangle
sin34 = opp/hyp = 29/hyp
hyp = 29/sin34 = 51.860457849...
Answer:
[tex]let \: |ab| \: be \: x \\ \\ \frac{ \sin(90) }{x} = \frac{ \sin(34) }{29} \\ x \sin(34) = 29 \sin(90) \\ x = \frac{29 \sin(90) }{ \sin(34) } \\ x = 51.86(2.d.p) \\ |ab| = 51.86[/tex]
Multiply (2a-5)(4a-7) Simplify your answer
[tex](2a - 5)(4a - 7)[/tex]
[tex]2a(4a - 7) - 5(4a - 7)[/tex]
[tex]8 {a}^{2} - 14a - 20a + 35[/tex]
[tex]8 {a}^{2} - 34a + 35[/tex]
Step-by-step explanation:
( 2a - 5 ) ( 4a - 7 )
2a ( 4a - 7) - 5 ( 4a - 7 )
8a² - 14a - 20a + 35
8a² -34a + 35
find the value of 3²×2³
Answer : 72
Step-by-step explanation:
It's above in the pic .
What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?
Step-by-step explanation:
Given line y=1/3x-4
slope of given line m=1/3
Slope of required line :
m=1/3
As lines are parallel then slope of lines are equal.
Using point slope form:
y-y1=m(x-x1)
p(x1,y1)=(9,8)
y-8=1/3(x-9)
3y-24=x-9
x-3y-9+24=0
x-3y+15=0
Note:if you need to ask any question please let me know.
The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer
Answer:
a = 5, b = - 13
Step-by-step explanation:
The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)
Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.
2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0
2(- 8) + 4a - 2b - 30 = 0
- 16 + 4a - 2b - 30 = 0
- 46 + 4a - 2b = 0 ( add 46 to both sides )
4a - 2b = 46 → (1)
----------------------------------------------------
Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )
The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]
2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35
2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )
1 + a + 2b = - 20 ( subtract 1 from both sides )
a + 2b = - 21 → (2)
Solve (1) and (2) simultaneously )
Add (1) and (2) term by term to eliminate b
5a = 25 ( divide both sides by 5 )
a = 5
Substitute a = 5 into (2)
5 + 2b = - 21 ( subtract 5 from both sides )
2b = - 26 ( divide both sides by 2 )
b = - 13
According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Using the remainder theorem we can write,
f(x) = 2x³+ ax² + bx - 30
f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0
-16 + 4a - 2b - 30 = 0
4a - 2b = 46 ........ equation 1
f(x) = 2x³+ ax² + bx - 30
f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35
(1/4) + a(1/4) + b(1/2) = -35 + 30
(1+a+2b)/4 = -5
1 + a + 2b = -5 × 4
a + 2b = -21 .......... equation 2
Adding the two equations,
4a + 2b + a - 2b = 46 - 21
5a = 25
a = 25/5
a = 5
Substitute the value of a in any one of the equation,
a + 2b = -21
5 + 2b = -21
2b = -21 - 5
2b = -26
b = -26/2
b = -13
Hence, the value of a and b are 5 and -13, respectively.
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what is 0.4 repeating written as a fraction
Answer:
0.4 as a fraction would be 2/5
Answer: 4/9
Step-by-step explanation:
On a number line is 7/3 located between 2 and 3?
Answer: Yes it is.
Step-by-step explanation:
Mixed to proper
7/3 = 2 1/3
Sarah is going to pay for an item using gift cards. The clerk tells her tht she will need 2 gift cards and as additional $3 to pay for the item.
Write an algebraic equation to find the cost for any amount of gift cards
Answer:
Step-by-step explanation:
t=2g+3.
Which number is the largest?
Answer:
54.895
Step-by-step explanation:
hopes it's help you
(7 - 1) to the 2 power plus 2 and to the 4 power - 8
The answer is 56. work is shown below.
Step 1: apply 2nd power to everything inside parentheses
(7 - 1)² = 7² - 1²
Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).
1 x 1 = 1
7 x 7 = 49
Step 3: subtract
49 - 1 = 48
Step 4: apply exponent
2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)
2 x 2 = 4
2 x 2 = 4
4 x 4 = 16
2⁴ = 16
Step 5: add
48 + 16 = 64
Step 6 (final step): subtract
64 - 8 = 56
final answer: 56
Find the greatest common factor of these two expressions.
28xy8v7 and 14x6v3
9514 1404 393
Answer:
14xv^3
Step-by-step explanation:
Coefficients are 28 and 14, which have a GCF of 14.
x exponents are 1 and 6, so the GCF is x^1 = x
y exponents are 8 and 0, so the GCF is y^0 = 1
v exponents are 7 and 3, so the GCF is v^3
The GCF of the two terms is the product of the factors just found:
14xv^3
Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.
Answer:
C
E
Step-by-step explanation:
Which equation does not have the same solution as the others
×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1
Answer:
the first cuz in
x/3 = 3
x = 9
and in others x = 3
...............
Answer:
x/3=3
Step-by-step explanation:
because is undiferned because x can not be x/3=3
Is 66.06 a irrational number
Answer:
No.
Step-by-step explanation:
No because it can be written as a fraction, 6606/10
full form of ALU please tell
Answer:
ALU stands for arithmetic logic unit. which is part of the central processing unit of a computer which performs arithmetic and logical operations.
I hope this helps
Answer:
In computer science: Architecture and organization. …of a control unit, an arithmetic logic unit (ALU), a memory unit, and input/output (I/O) controllers. The ALU performs simple addition, subtraction, multiplication, division, and logic operations, such as OR and AND.
Step-by-step explanation:
Theresa and her nine classmates took a standardized test. Their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, and 92. Theresa received an 88 on the test. Which percentile is she in
Answer: 60th
Step-by-step explanation:
First order the values from least to greatest:
47, 49, 61, 76, 79, 88, 92, 92, 94, 94.
We can note that the 88 is the 6th of 10 values, so 6/10 = 0.60 or the 60th percentile.
Theresa is in 60 percentile.
What is standardized test?A test that is administered and scored in a consistent, or "standard," manner is known as a standardized test. The questions and interpretations on standardized tests are designed to be consistent and are administered and scored in a predetermined, standard manner.
A standardized test is one in which the same test is given to all test takers in the same way and graded in the same way for everyone.
Given scores
88, 49, 92, 47, 61, 94, 94, 76, 79, and 92.
arrange in increasing order,
47, 49, 61, 76, 79, 88, 92, 92, 94, 94
Theresa got 88, which is sixth term
percent = term x 10
percent = 6 x 10 = 60%
Hence, she is in 60%.
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Study the figure and find the effort.
Please help...
Answer:
300
Step-by-step explanation:
I hope it will help you.
Find the smaller of 2 consecutive even integers if the sum of twice the smaller integer and the larger
integers is -16.
Answer:
n = -6
Step-by-step explanation:
2n + (n + 2) = -16
3n + 2 = -16
3n = -18
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
A box of 8 cellphones contains two yellow cellphones and six green cellphones. Complete parts (a) through (d) below.
a. If two cellphones are randomly selected from the box without replacement, what is the probability that both cellphones selected will be green?
b. If two cellphones are randomly selected from the box without replacement, what is the probability there will be one green cellphone and one yellow cellphone selected?
c. If three cellphones are selected with replacement (the first cellphone is returned to the box after it is selected), what is the probability that all three will be yellow?
d. If you were sampling with replacement (the first cellphone is returned to the box after it is selected), what would be the answers to (a) and (b)?
Probabilities are used to determine the chance of an event. The following are the summary of the solution.
The probability that the two selected cellphones are green (without replacement) is 15/28The probability that one green and one yellow is selected (without replacement) is 3/7The probability that all three cellphones are yellow (with replacement) is 1/64The probability that the two cellphones are green (with replacement) is 9/16The probability that one green and one yellow is selected (with replacement) is 3/8Given that:
[tex]n = 8[/tex]
[tex]G = 6[/tex] --- Green
[tex]Y = 2[/tex] --- Yellow
(a) Probability that the two cellphones are green (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G - 1}{n-1}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6 - 1}{8-1}[/tex]
[tex]Pr = \frac 68 \times \frac 57[/tex]
[tex]Pr = \frac{30}{56}[/tex]
[tex]Pr = \frac{15}{28}[/tex]
Hence, the probability that the two cellphones are green (without replacement) is 15/28
(b) Probability that one green and one yellow is selected (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{Y}{n-1} + \frac Yn \times \frac{G}{n-1}[/tex] ---- The subtraction means the cellphones are not replaced
This gives
[tex]Pr = \frac 68 \times \frac{2}{8-1} + \frac 28 \times \frac{6}{8-1}[/tex]
[tex]Pr = \frac 34 \times \frac{2}{7} + \frac 14 \times \frac{6}{7}[/tex]
[tex]Pr = \frac 32 \times \frac17 + \frac 12 \times \frac 37[/tex]
[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]
Take LCM
[tex]Pr = \frac{3+3}{14}[/tex]
[tex]Pr = \frac{6}{14}[/tex]
[tex]Pr = \frac{3}{7}[/tex]
Hence, the probability that one green and one yellow is selected (without replacement) is 3/7
(c) Probability that the all three cellphones are yellow (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Yn \times \frac Yn \times \frac Yn[/tex]
So, we have:
[tex]Pr = \frac 28 \times \frac 28 \times \frac 28[/tex]
[tex]Pr = \frac 14 \times \frac 14 \times \frac 14[/tex]
[tex]Pr = \frac 1{64}[/tex]
Hence, the probability that all three cellphones are yellow (with replacement) is 1/64
(d1) Probability that the two cellphones are green (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G}{n}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{3}{4}[/tex]
[tex]Pr = \frac{9}{16}[/tex]
Hence, the probability that the two cellphones are green (with replacement) is 9/16
(d2) Probability that one green and one yellow is selected (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
So, we have:
[tex]Pr = \frac Gn \times \frac{Y}{n} + \frac Yn \times \frac{G}{n}[/tex]
This gives
[tex]Pr = \frac 68 \times \frac{2}{8} + \frac 28 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{1}{4} + \frac 14 \times \frac{3}{4}[/tex]
[tex]Pr = \frac 3{16} + \frac{3}{16}[/tex]
Take LCM
[tex]Pr = \frac {3+3}{16}[/tex]
[tex]Pr = \frac {6}{16}[/tex]
[tex]Pr = \frac {3}{8}[/tex]
Hence, the probability that one green and one yellow is selected (with replacement) is 3/8
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solve the equation -7 x = -28
-7 x = -28
Divide both sides by -7.
x = 4