Answer: $7.60
Step-by-step explanation:
$4.56/12 is 0.38 cents (Cost of each orange)
so $0.38 x 20 is $7.60
Answer:
$7.6
Step-by-step explanation:
Cost of 12 oranges=$4.56
Cost of 1 Orange= $4.56/12=$0.38
Cost of 20 oranges =20 × Cost of 1 orange=20×$0.38=$7.6
I hope it helped you
Rearrange 4x+2y=8 to make y the subject.
Step-by-step explanation:
y=(8-4x)/2
y=4-2x
I hope it helps
Answer:
y = 4 - 2x
Step-by-step explanation:
4x + 2y = 8
Subtract 4x on both sides,
2y = 8 - 4x
Divide 2 on both sides,
y = ( 8 - 4x ) / 2
y = 4 - 2x
3x−45=−12
What is the value of x?
Answer:
x=11
Step-by-step explanation:
3x−45=−12
Add 45 to each side
3x−45+45=−12+45
3x = 33
Divide each side by 3
3x/3 = 33/3
x=11
solve by completing the square: x^2+18x+45=0
Answer:
x = -3 , - 15
Step-by-step explanation:
Given:
x² + 18x + 45 = 0
Solve:
[tex]x_{1,\:2}=\frac{-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45}}{2\cdot \:1}[/tex]
Simplify
[tex]-18\pm \sqrt{18^2-4\cdot \:1\cdot \:45=12[/tex]
[tex]x_{1,\:2}=\frac{-18\pm \:12}{2\cdot \:1}[/tex]
Separate the solution
[tex]x_1=\frac{-18+12}{2\cdot \:1},\:x_2=\frac{-18-12}{2\cdot \:1}[/tex]
[tex]x_1=\frac{-18+12}{2\cdot \:1}=-3[/tex]
[tex]x_2=\frac{-18-12}{2\cdot \:1}=-15[/tex]
Thus, the answer are:
[tex]x=-3,\:x=-15[/tex]
Kavinsky
5x+11x using distributive property
[tex]5x+11x=16x[/tex]
What is Distributive Property?To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Distributive Property:
[tex](5x+10x)+(5x+1x)[/tex]
/ \ / \
[tex](16x)[/tex] [tex](6x)[/tex]
Therfore, by using the distributive property, [tex](5x+10x)+(5x+1x)[/tex], We get [tex]16x[/tex].
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Graph f(x) = 4[x] +5.
a.
b.
X
C.
d.
r
16
Answer:
C
Step-by-step explanation:
Factorise the following:
A. 4xy-16
B. xy+2xy-x
C. 2x²-18x+12
D. 5xy+20x-9y-36
=4(xy−4)
B. xy+2xy-x3xy−x
=x(3y−1)
C. 2x²-18x+122x²−18x+12
=2(x²−9x+6)
D. 5xy+20x-9y-365xy+20x−9y−36
=(y+4)(5x−9)
solve each logarithmic equation. Round your answer to two decimal places.
Teach me this one? I want to work on the next and will submit it once I have it done.
7 log9 (x + 8) = 7
Answer:
[tex]\sf \boxed{\bold{x=1}}[/tex]
Explanation:
[tex]\rightarrow \sf 7 log_9 (x + 8) = 7[/tex]
divide both sides by 7
[tex]\rightarrow \sf \dfrac{7\log _9\left(x+8\right)}{7}=\dfrac{7}{7}[/tex]
simplify the following
[tex]\sf \rightarrow \log _9\left(x+8\right)=1[/tex]
apply log rules [tex]\underline{The \ rule}: \ \bold{log_{b} (a)= c} \ \ \Longrightarrow \sf a = b^c[/tex]
[tex]\sf \rightarrow x+8 = 9^1[/tex]
simplify
[tex]\sf \rightarrow x+8=9[/tex]
subtract both sides by 8
[tex]\sf \rightarrow x=1[/tex]
[tex]\\ \rm\Rrightarrow 7log_9(x+8)=7[/tex]
[tex]\\ \rm\Rrightarrow log_9(x+8)=1[/tex]
[tex]\\ \rm\Rrightarrow x+8=9^1[/tex]
a^1=a[tex]\\ \rm\Rrightarrow x+8=9[/tex]
[tex]\\ \rm\Rrightarrow x=9-8[/tex]
[tex]\\ \rm\Rrightarrow x=1[/tex]
The area of a circle is 49 pi cm^2 what is the radius of a circle
Answer:
The radius is 7 cm
Step-by-step explanation:
We know the area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 = r
The radius is 7 cm
Answer:
radius = 7 cm
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
given A = 49π , then
πr² = 49π ( divide both sides by π )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7
A rectangular table top has length 1. 7 m and width 0. 9 m. A force of 750 N is applied to the whole table top. Calculate the pressure in N/m2 to the nearest integer
Step-by-step explanation:
pressure = F/A
= 750/ (1.7×9)
= 49 N/m²
A cylinder with radius 3 feet and height 5 feet is shown.
6
ft
Enter the volume, in cubic feet, of the cylinder. Round your
answer to the nearest hundredth.
Answer:
The volume of the cylinder is 141.23 cubic feet
Step by step explanation :
Given-
Radius of cylinder = 3 feet Height of cylinder = 5 feetNow, we know that
[tex] \boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}[/tex]where, r is the radius of the cylinder & h is the height of the cylinder.
Now,
Volume of the cylinder = [tex] \frac{22}{7} \times {3}^{2} \times 5[/tex]
[tex] = \frac{22}{7} \times 3 \times 3 \times 5[/tex]
[tex] = \frac{990}{7} [/tex][tex] = 141.428571[/tex] ( approximately )
[tex] = \boxed{ 141.43 \: \mathfrak { {ft}^{3}} }[/tex]
The first thing you should do in solving a word problem is estimate what you think the answer would be.
True
False
Answer:
The answer is True.
Step-by-step explanation:
Estimate the Answer Before Solving Having a general idea of a ballpark answer .Or the problem lets students know if their actual answer is reasonable or not.whats the y intercept and rate of change ill give 20 pt please help me thank u
Answer:
y-intercept= (0,7) and rate of change=
Step-by-step explanation:
The y-intercept of a graph is the point on the graph where it intersects the y-axis or where x=0. In this case it is (0,7) so that is the y-intercept. The rate of change is equal to y2-y1 divided by x2-x1. Basically, just pick 2 random points on the line and subtract their y coordinates, then subtract their x-coordinates and divide the answers with each other. So, one point is (0,7) and another point is (2,4). Therefore, rate of change is 7-4 divided by 0-2. This gives us a rate of change of -3/2
An item on sale costs 15% of the original price. The original price was $97
Answer:
$14.55
Step-by-step explanation:
Let x = 0.147 and let y = 0.147
The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.
What is a rational number?A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.
The complete question is, Let x = 0.147 and let y = [tex]0.\overline{147}[/tex]. Is x a rational number? Is ya rational number? Which is larger, x or y?
Given the value of x is 0.147. As it can be written in the form of a fraction,
[tex]0.147 = \dfrac{147}{1000}[/tex], we can conclude that x is a rational number.
The value of y = [tex]0.\overline{147}[/tex] can also be written in the form of a fraction,
[tex]0.\overline{147} = \dfrac{147}{999}[/tex], therefore, we can conclude that y is also a rational number.
The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.
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Parallelogram Properties - Diagonals
delta math
Answer:
DE=18
Step-by-step explanation:
The reason is because that parallelogram ABCD has most of the sides equal to each other.
The length of DB = 36 and half of 36/2 gets us DE.
DE=36/2=18
DE=18 also equals to BE=18
Diagonals of a parallelogram bisect each other
So
DE+BE=DBPutting DE=BE
2DE=DBDE=DB/2DE=36/2DE=18Which graph represents the function
f(x) = (x + 4)(x + 1)(x - 3)
?
Answer:
Step-by-step explanation:
The graph that represents the function
f(x) = (x + 4)(x + 1)(x - 3)
crosses the x-axis three times: at x = -4, x = -1, and x = 3
because we apply the zero product rule and found the roots -4, -1, and 3
x+ 4= 0 → x = -4
x+1 = 0 → x = -1
x-3 = 0 → x = 3
help me with this question, please
Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
Part 1
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:
[tex]\frac{3x}{3} = \frac{-12+6y}{3}[/tex]
x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
Part 2
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
The number of bacteria on your hand increases by 40% every hour. If there were initially 800 bacteria placed on your hand, how much bacteria
will be on your hand after 3 hours?
Answer:
about 2195 bacteria
Step-by-step explanation:
After one hour: 800 * 1.4 = 1120
After two hours: 1120 * 1.4 = 1568
After three hours: 1568 * 1.4 = 2195.2
When p = 12, t = 2, and s = one-sixth, r = 18. if r varies directly with p and inversely with the product of s and t, what is the constant of variation? one-eighth one-half four and one-half 18
The constant of variation given that r varies directly with p and inversely with the product of s and t is one-half
From the question given above,r ∝ p ∝ 1/st
r ∝ p / st
r = Kp / st
Cross multiply
r × st = Kp
Divide both side by p
K = rst / p => constant of variation
How to determine the constant of variation p = 12t = 2 s = one-sixth = 1/6r = 18Constant of variation (K) =?K = rst / p
K = (18 × 1/6 × 2) / 12
K = 6 / 12
K = 1 / 2 = one-half
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Someone please help and answer this please
Answer:
1) surface area = 2 · π · r · (r + h)
2) 8x5x6x14x8.94
3) surface area = 2 · π · r · (r + h)
4) 8x14x6
5) 4x4x8
6) 7x8.95x13
7) 3x4x11x3.61 divide by 2
8) 6x6x6 = 36x6 = 216
9) 3x4x10
Step-by-step explanation:
In the diagram, ABCDE is a regular pentagon.
(a) Calculate /BAE.
(b) What is the name of the quadrilateral ABCD?
(c)The sides AE and CD are produced to meet at X.
(i) Calculate /EDX.
(ii) What type of quadrilateral is BDXE? Explain your answer.
The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent
Part A: Calculate ∠BAEThe angle BAE is a vertex angle, and it is calculated using:
BAE = 180 * (n - 2)/n
Where n= 5; i.e. the number of sides.
This gives:
BAE = 180 * (5 - 2)/5
Evaluate
BAE = 108°
Hence, the measure of angle BAE is 108°
Part B: The name of the quadrilateral ABCDWhen the vertices A and B are joined together, the shape becomes a trapezoid.
Hence, the name of the quadrilateral ABCD is a trapezoid.
Part C (i) Calculate ∠EDXSee attachment for the new figure.
From the attached figure, we have:
∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line
Where:
∠EDC = ∠BAE = 108°
So, we have:
∠EDX + 108° = 180°
Subtract 108° from both sides
∠EDX = 72°
Hence, the measure of angle EDX is 72 degrees
Part C (ii) What type of quadrilateral is BDXE?The quadrilateral BDXE is a parallelogram.
This is so because the opposite sides of BDXE are parallel, but not congruent
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help me i need help.
Answer:
The value of a side = 5
Step-by-step explanation:
By using PGT theoram
H² = P² + B²
=> 13² = a² + 12²
=> 13² - 12² = a²
=> 169 -144 = a²
=> 25 = a²
=> √25 = a
=> 5 = a
Answer:
a = 5
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 12² = 13²
a² + 144 = 169 ( subtract 144 from both sides )
a² = 25 ( take square root of both sides )
a = [tex]\sqrt{25}[/tex] = 5
How much would a 20% tip be on a $65 restaurant bill?
Answer:
13 dollars would be the answer you're welcome lol
What is the result when the number 44
is increased by 75%?
Answer:
77
Step-by-step explanation:
75% of 44 = 33
33 + 44 = 77
Answer:
77.
Step-by-step explanation:
75% of 44
= 3/4 * 44
= 33
33+44
= 77.
What two-dimensional shape is formed by the cross section shown below?
Answer:
I believe rectangle.
Step-by-step explanation:
A bowling ball has a diameter of 8.5 inches. If it is rolled down a 60-foot bowling lane, how many complete revolutions will it make? Round to the nearest tenth.
Worth 25 points!!
Answer:
27 revolutions
Step-by-step explanation:
Things to remember :
One revolution = distance of circumference coveredcircumference = 2πrdiameter = 2 x radiusSolving
One revolution = 2 x π x d/2 = πdOne revolution = 3.14 x 8.5One revolution = 26.69 inchesNo. of revolutions = Distance / one revolutionNo. of revolutions = 60 x 12 / 26.69No. of revolutions = 720 / 26.69No. of revolutions = 27 revolutionsPlease help i need answer asap
Answer:
14x+6+(5x+30+=2190
Step-by-step explanation:
what is the distance between -45 and 35
Answer:
10
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
-45 minus 35 is -80 so that's 80 units. and including zero it's 81 units
In a large company, 45% of the employees wear khaki pants on a daily basis. Which calculation finds the probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees
The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees is 0.18.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
In a large company, 45% of the employees wear khaki pants on a daily basis.
40% of employees wearing khaki pants in a random sample of 50 employees
So, 40% of 45% x 50
= [tex]0.40 \times 0.45 \times 50 \\ \\9[/tex]
The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees.
= 9 /50
= 0.18
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