Answer:
a=9
Step-by-step explanation:
2/3 (a-18)=-6
a−18=−6×( 3/2)
a−18=−6×3/2
a−18= −18/2
a−18=−9
a=−9+18
a=9
Answer:
A=9
Step-by-step explanation:
Simplify both sides of the equation.
2/3(a−18)=−6
(2/3)(a)+(2/3)(−18)=−6(Distribute)
2/3a+-12=-6
2/3a-12=-6
Add 12 to both sides.
2/3a−12+12=−6+12
2/3a=6
Multiply both sides by 3/2
(3/2)* (2/3a)= (3/2)* (6)
A=9
Three sisters purchased treats at a bake sale. The oldest sister spent $2.70 on brownies. The middle sister spent four times as much on cookies as the older sister spent on brownies. The youngest sister spent $3.68 less on a cake than the middle sister spent on cookies. How much did each sister spend?
Answer:
the oldest sister spent 2.70$ (given)
the middle sister spent 10.80$
and the youngest sister spent 7.12$
Step-by-step explanation:
What is the probability of the following, (for each answer, enter an exact number)
(A) an event A that is certain to occur
Answer:
Probability of certain event P(E) = 1
Step-by-step explanation:
An event or program A that is likely to occur has a probability of 1, which indicates that there will always be an event or a program.
Probability of certain event P(E) = 1
For each point, identify the axis or quadrant where the point is located.
Drag and drop the choices into the boxes to complete the table.
HELP PLEAASSEE!
Answer:
(0,6) ==> y-axis
(5,-2) ==> Quadrant IV
(-1,10) ==> Quadrant II
(5,0) ==> x-axis
(8.7,2.3) ==> Quadrant I
[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]
no trolls i need help asap please!!!
Answer:
These triangles cannot be proven congruent
Step-by-step explanation:
The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.
These mean that the two triangles have the same shape and we can conclude that they are similar to each other.
However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.
Therefore, the triangles given above cannot be proven congruent.
Determine whether the given number is an irrational number or a rational number and place it in its representing
category
Irrational Numbers
Rational Numbers
Answer:
Answer below
Step-by-step explanation:
Rational:
36
7/16
81
Irrational:
120
48
pi
The rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
What is an irrational number?It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
From the definition of rational and irrational number, we can identify the rational and irrational numbers as below:
Rational numbers:
√36 = 6
7/16
√81 = 9
Irrational number:
√120
√48
π
Thus, the rational numbers are √36, 7/16, and √81 = 9 the irrational numbers are √120, √48, and π.
Learn more about the irrational number here:
brainly.com/question/17450097
#SPJ2
Select the correct answer from each drop down menu. City
A -10
City B -1
City C -20
City D -2
The city whose temperature is closest to 0C is _____ and the city whose temperature is farthest from 0C is ______
Answer:
b.c
Step-by-step explanation:
Attend to precision. Suppose that ∠1 and ∠2 are same-side interior angles formed by two parallel lines cut by a transversal, and that m∠1=7x-4 and m∠2=20x-5.
a.What is the value of x?
b.What is m∠1?
c.What is m∠2?
d.Explain how you found your answers.
9514 1404 393
Answer:
a) x = 7
b) m∠1 = 45°
c) m∠2 = 135°
Step-by-step explanation:
a) Same-side interior angles are supplementary, so we have ...
∠1 +∠2 = 180
(7x -4) +(20x -5) = 180
27x = 189
x = 7
__
b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.
m∠1 = 7x -4 = 7(7) -4 = 45
m∠1 = 45°
__
c) Angle 2 is the supplement of angle 1, so ...
m∠2 = 180° -45°
m∠2 = 135°
__
d) We used the relationship of angles at a transversal and the properties of equality.
A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter.
Answer:
[tex]600\ rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]
[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]
[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]
What is the constant of proportionality between y and x in the graph
Answer:
5.1
Step-by-step explanation:
A soda pop manufacturer runs a contest and places a winning bottle cap on every sixth bottle. If a person buys the soda pop, find the probability that the person will win for the first time on his third purchase.
Answer:
[tex]\dfrac{25}{216}[/tex]
Step-by-step explanation:
From the given information:
The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]
The probability of not winning a bottle cap will be (q) = 1 - p
[tex]= 1- \dfrac{1}{6}[/tex]
[tex]= \dfrac{5}{6}[/tex]
Since we are told that the winning is placed once on every sixth bottle
Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)
[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]
[tex]= \dfrac{25}{216}[/tex]
If the length of a cube is 2cm then find the surface area of the cube?
Given:
Length of a cube is 2 cm
To Find:
Surface area of the cube
Solution:
A cube consists of 6 faces.
The area of each face = side x side
So, the total surface area of a cube = 6 x
side x side
Let a be the length of the given cube
: Surface area of a cube = 6a square
a = 2 cm (Given)
Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.
Hence, the surface area of the given
cube is 24cm square.
Hope it helps!
DUE AT 11:59 I NEED HELP ASAP PLEASE HURRY
Answer:
4
Step-by-step explanation:
8/3x=4+5/3x
8/3-5/3x=4
x=4
Out of the 482 employees at the Coca-Cola plant, 37 are taking vacation next week. What percentage of employees are NOT vacationing?
Answer:
92.32%
Step-by-step explanation:
482-37=455 (not vaationig)
445/482=0.9232
0.9232*100=92.32%
Given the points A(3, -8) and B(1, 2), what is the approximate length of AB?
O 10.2
O 6.3
O 10.8
O 7.2
O 12.2
Answer:
[tex]d \approx 10.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (3, -8)
Point B (1, 2)
Step 2: Find distance d
Substitute [DF]: [tex]d = \sqrt{(1-3)^2+(2+8)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-2)^2+(10)^2}[/tex]Exponent: [tex]d = \sqrt{4+100}[/tex]Add: [tex]d = \sqrt{104}[/tex]Simplify: [tex]d = 2\sqrt{26}[/tex]Evaluate: [tex]d = 10.198[/tex]Round: [tex]d \approx 10.2[/tex]Answer:
10.2
Step-by-step explanation:
Find the value of the x in the equation 4(6x-9.5)=46
Answer:
X= 3.5
Step-by-step explanation:
4(6x-9.5)=46
24x-38=46
X=3.5
If u steal point i report
Answer: the 2 on the right
Step-by-step explanation:
Your boss sends you a text of a painting of the Yankee stadium.
The painting is 16 inches by 24 inches. If the scale factor is 2.25, what is the actual size of the painting?
Your boss also needs to know if this is an enlargement or a reduction.
(If you can,Please provide an image of how you solved the problem.And please explain thoroughly how you got your answer.)
Answer:
170.6 inches
The scale factor is an enlargement
Step-by-step explanation:
16 by 24 is the Painting by a scale factor of 2.25
A scale factor is an enlargment or reduction in a shape or quantity.
So
(16*24) is the size of the painting after Scale factor
16*24=384
Know get 384/2.25
170.666666667
170.6 inches
A probability experiment is conducted in which the sample space of the experiment is S= {6,7,8,9,10,11,12,13,14,15,16,17.Let event E={6,7,8,9,10,11,12,13} Assume each outcome is equally likely. List the outcomes in Ec. Find P (Ec)
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: S = {6,7,8,9,10,11,12,13,14,15,16,17}
E={6,7,8,9,10,11,12,13}
[tex]E^c=[/tex] Event having all elements of S other than E.
[tex]={14, 15 , 16, 17}[/tex]
[tex]P(E^c)=\dfrac{\text{Elements in }E^c}{\text{Elements in }S}\\\\=\dfrac{4}{12}\\\\=\dfrac{1}{3}[/tex]
Hence, [tex]P(E^c)=\dfrac{1}{3}[/tex]
(a) Complete the table of values for y = 1/2x + 1
Please help ❤️
Answer:
y =1, 1.5, 2, 2.5, 3
Step-by-step explanation:
Plug in the values of x into the equation for y.
For example when x is 0, plug in 0 into the equation
0.5x + 1 = y
0.5(0) + 1 = 1
So, y = 1
To find the other values of y, plug in the designated value of x into the equation.
PLEASE HELP ITS DUE TODAY!!
Find the equation of the graphed line.
a. y= - 6x-7
b. y = 6x -7
c. y = - 6/7 × -6
b. y = - 7/6x - 7
If a square has the sides of 6 cm then how far will it be from one corner of the square to the opposite corner?
Answer:
8.5 cm
Step-by-step explanation:
We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.
Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.
To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.
[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]
[tex]8.5[/tex] ≈ [tex]c[/tex]
Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.
I hope this helps!
Sumbody help me out with this
Answer:
the answer is c
Step-by-step explanation:
The graph of the absolute value parent function, f(x) = |x|, is stretch horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = 6|x|
B. g(x) = |x + 6|
C. g(x) = |1/6x|
D. g(x) = |6x|
Answer:
Step-by-step explanation:
(C). g(x) = | [tex]\frac{1}{6}[/tex] x |
A rectangle prism has three dimension
Answer:
yes but what is your question?
Step-by-step explanation:
Answer:
A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area.
Hope is that the answer u were looking for :)
Find the cost per gallon. 8 gallons of gas for $28.48.
A. $3.50
B. $3.56
C. $3.05
D. $3.65
Answer:
B. $3.56
Step-by-step explanation:
You take $28.48 and divide it by 8
28.48 / 8 = 3.56
/ = divide
A trombone acts like an open pipe of length 2.96 m .On a cold day it plays,its 4th harmonic at 221 hz what is the speed of the sound waves in the horn that day?
Answer:
327.08 m/s
Step-by-step explanation:
Given that:
Length of pipe = 2.96m
4th harmonic frequency = 221 Hz
Speed of wave in the horn :
Speed of wave (v) = fλ
For 4th harmonic :
Wavelength, λ = (2/4)L
λ = L/2 ; 2λ = L
2λ = 2.96
λ = 2.96 / 2
λ = 1.48 m
Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s
PLZ HELP WILL GIVE BRAINLEST
Answer:
it's the fourth one i did that assignment aswell
Write the expression in exponential form.
3
4/16^
A)
1/4
13^
B)
3/16
4^
C)
16/3
4^
D)
3/4
16^
Answer:
B
Step-by-step explanation:
If u steal point i report
Answer:
Y:4 X:540
Step-by-step explanation:
Answer: first divide so you make it one and then you multiply hope that helps
Step-by-step explanation: then you can add them to get by one then multiply