Answer:
3/5 is 0.6 as a decimal and 60% as a percent.
Step-by-step explanation:
To fine the answer as a decimal, we just divide 3/5 and we get 0.6. To find 3/5 as a percent, we will take 0.6 and multiply it by 100, which is 60%.
There is a bag filled with 2 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
Question:
A bag with 2 blue (B), 4 red (R) and 5 green (G) marbles (total 11 marbles).
Two are drawn at random without replacement.
Find probability of getting two marbles of same colour.
Solution:
We can get either 2B, 2R or 2G as successful outcomes.
To get two blue marbles (2B),
probability of the first one being blue = P(B)=2/11
probability of the second blue marble = P(-B)=1/10 (one left out of 10 left)
Probability that both are blue (use multiplication rule)
P(2B)=(2/11)(1/10)=2/110
Similarly, for two red marbles
P(2R)=(4/11)(3/10)=12/110
and for two green marbles
P(2G)=(5/11)(4/10)=20/110
Since all three events 2B, 2R and 2G are mutually exclusive, the probability
that any one can happen is the sum of the individual probabilities, thus
probability of getting two marbles of the same colour (without replacement)
=P(2B)+P(2R)+P(2G)
=2/110 + 12/110 + 20/110
=34/110
= 17/55
Step-by-step explanation:
4/11
hope this helps
A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
1.1.1.calculate the second difference of this quadratic pattern
1.1.2.hence or otherwise,calculate the first term of term
Answer:
1.1.1. The common difference is 12
1.1.2. The first term is 30
Step-by-step explanation:
1.1.1. The given quadratic pattern is presented as follows;
The 2nd term = 1
The 3rd term = -16
The 5th term = -14
Let 'd' represent the second difference, we have;
1 + 2d + a = -16
2·d + a = -16 - 1 = -17
2·d + a = -17...(1)
-16 + 3d + a + 4d + a = -14
7·d + 2·a = -14 + 16 = 2
7·d + 2·a = 2...(2)
Making 'a' the subject of both equation (1) and (2) gives;
a = -17 - 2·d
a = 1 - 7/2·d
∴ -17 - 2·d = 1 - 7/2·d
(7/2)·d - 2·d = 1 + 17
(3/2)·d = 18
d = (2/3) × 18 = 12
The common difference, d = 12
a = -17 - 2·d = -17 - 2 × 12 = -41
1.1.2. Let 'x' represent the first term, we have;
x + a + d = 1
x = 1 - (a + d)
x = 1 - (-41 + 12) = 30
The first term, x = 30
Use your knowledge of special cases to solve the problem.
( 3a - 2b )2 = ??
a) 9a^2 + 12ab + 4b^2
b)9a^2 - 4b^2
c)9a^2 - 12ab + 4b^2
Answer:
C
Step-by-step explanation:
We want to simplify:
[tex](3a-2b)^2[/tex]
Recall the perfect square trinomial pattern:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Let a = 3a and b = -2b. Thus:
[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]
Simplify:
[tex]=9a^2-12ab+4b^2[/tex]
Our answer is C.
Question 7 of 10
What is the slope of the line shown below?
10+
O A. -2
5+
B. 6
(2, 2)
5
10
15
.102
SUBMIT
Answer:
Slope = 2Step-by-step explanation:
co-ordinates = (2,2) and (-1,-4)
Slope = (y² - y¹) / (x² - x¹)
= (-4 - 2) / (-1 - 2)
= -6 / -3
= 6/3
= 2
help asap i will give brainly to first person to anwser
Answer:
The answer is 8
Step-by-step explanation:
7x-9=4x+15
7x-4x=15+9
3x=24
x=24/3
x=8
pls mark BRAINLIEST
Answer:
m<ABC=<7x-9=7×8-9=47° is your answer
Step-by-step explanation:
4x+15=7x-9 vertically opposite angle
15+9=7x-4x
x=24/3=8
A right rectangular prism is shown with some measurements given in units. The length of the diagonal from point a to point B is 13 units
Answer:
Step-by-step explanation:
The diagonal of a three dimensional rectangle is defined as
d^2=x^+y^2+h^2 solving for h
h^2=d^2-x^2-y^2
h^2=13^2-3^2-4^2
h^2=169-9-16
d^2=144
d=12
What improper fraction is equal to 8 1/6?
Answer:
Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/
45
= 4 16/
45
≅ 4.3555556
hope this helps you
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
20%
Step-by-step explanation:
9/45
Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE
Answer:
1. 51
2. 30
Step-by-step explanation:
Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please
Answer:
x = 15 ft
Step-by-step explanation:
Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:
side AE / side EB = side AD / side DC
4/6 = 10/x
Solve for x
x = (10)(6) / 4
x = 60 / 4
x = 15 ft
Use the net to compute the surface area of the three-dimensional figure.
A) 56 units2
B) 62 units2
C) 68 units2
D) 74 units2
Answer:
B. 62 un2
Step-by-step explanation:
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
x² = 24 x 6 = 144
x = 12
To conduct an experiment, researches randomly select six students from a class of 20. How many different groups of six students are possible?
Answer:
3.33
Step-by-step explanation:
20 divided by 6 equals 3.33333333333
Round that you get 3.33
Mary is booking a 3-night stay at a hotel. The rate is $69 per room plus tax. If
state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total
lodging cost?
A. $273.12
B. $128.62
C. $182.62
D. $225.63
The cost of Mary's lodging cost is A = $ 225.63
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.
Given data ,
Let the total lodging cost be represented as A
First, let's calculate the total tax percentage
6% + 2% + 1% = 9%
So, Mary will pay 9% tax on the room rate of $69 per night.
Total room rate for 3 nights = 3 x $69 = $207
Total tax amount = 9% of $207 = $18.63
On simplifying the equation , we get
Therefore, Mary's total lodging cost will be:
A = $207 + $18.63 = $225.63
Hence , the total lodging cost is A = $ 225.63
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A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from
2013 to 2014 and by 5.1% from 2014 to 2015. Which expression represents a strategy for
estimating the total output of wheat, in tons, in 2015?
Answer:
Step-by-step explanation:
[tex]19.8(1.098)(1.051)\approx 22.8 tons[/tex]
Multiply -90/11 by -55/72 with explanation...
Pls fast...Will mark Brainliest for the best one...
Answer:
25/4
Step-by-step explanation:
Multiplying numerators gives 4950 and multiplying denominators gives 792. 4950/792. simplify to get simplest form as 25/4
Answer:-6.25
Step-by-step explanation:
Solve for the nearest whole number
Solve for the missing angle
Answer:
33°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{11}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{11}[/tex] ) = 33° ( to the nearest whole number )
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 4 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Answer:
The answer is below
Step-by-step explanation:
River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.
Solution:
Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.
Given that there are a total of 160 tubes, hence:
a + c = 160 (1)
The total diameter of all tubes is 430 feet, hence:
3a + 2c = 430 (2)
To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:
a = 110
Put a = 110 in eqn 1:
110 + c = 160
c = 50
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)? O A. (2,4) O B. (1,4) O C. (1,2) O D. (2, 2)
Answer:
C) (1, 2)
Step-by-step explanation:
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]= (\frac{-2+4}{2},\frac{-2+6}{2})\\\\=(\frac{2}{2},\frac{4}{2})\\\\=(1,2)[/tex]
8. You are building a word bank for math word problems. A synonym that may be
used in a word problem involving additions might be:
A) sum
B) product
Ο Ο Ο Ο
C) quotient.
D) difference
What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)
Answer:
The vertex is ( -6, 3)
Step-by-step explanation:
h(x) = |x+ 6| + 3
Inside the absolute value is the h or the x coordinate of the vertex
Outside is the k or the y value of the vertex
It is in the form
h(x) = |x-h| + k where (h,k) is the vertex
h(x) = |x - -6| + 3
The vertex is ( -6, 3)
Answer:
B. (-6, 3)Step-by-step explanation:
Given function:
h(x) = |x + 6| + 3This is the translation of f(x) = |x|, 6 units left and 3 units up
So the vertex is (-6, 3)
Correct choice is B
Determine which function has a greater initial value and explain how you know.
function 1: y=2(1/3)^x
Answer - Function 2
Function 1 - y = 2x (1/3)^x x = 0 =2*0*1 = 0
Function 2 have the value for 3 for x = 0
Function 2 is greater
find the distance between (2,-1) and (1,-2)
find the distance between (-2,-4) and (-1,0)
Answer: if you add 5 then you get 57
Step-by-step explanation: just add ang get the answer
Answer:
just add
Step-by-step explanation:
addd
Two similar triangles are shown. Triangle X Y Z is reflected across a line and dilated to form smaller triangle Q A G. ΔXYZ was dilated, then _____________, to create ΔQAG. translated reflected dilated rotated
Answer:
The answer is reflected . Triangle XYZ was dilated, then reflected to create triangle QAG. Explanation :-A dilation is a rigid transformation which creates a similar image as the real shape but with different size. A reflection is a rigid transformation which creates a mirror image of the original shape without changing its size.
Step-by-step explanation:
Answer
Reflected
Step-by-step explanation:
Took test EDGE 2021X
Solve the system of equations below.
{X – y= 7
{2 – y= -4
O (5,2)
O (2,5)
O Ø
O Infinite
Answer:
fewaaaaa
Step-by-step explanation:
Type the correct answer in each box.
,
then a = and b = .
Answer:
a = 0, b = -15
Step-by-step explanation:
Given the following complex number;
x1 = 3(cosπ+isinπ)
x2 = 5(cosπ/2 - isinπ/2)
x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)
x1x2 = 15(0 - i(-1)+0 -0)
x1x2 = 15(-i)
x1x2 = -15i
x1x2 = 0-15i
Since
0 - 15i = a+ bi
Compare
a = 0
-15- = bi
b = -15
Hence a = 0, b = -15
Find AB, BC, and BC. Round to the nearest tenth
Answer:
i need more space to send the pic i did the math tho
Step-by-step explanation:
How Many solutions are there for the
following system.
y = x² - 5x + 3
Y = x - 6
A swimmer is racing to the other side of the
pool. The pool is 75 feet long. The
swimmer travels 2.5 feet per second. Create
a graph to represent the swimmer's distance
to the other side of the pool with relation
to time.
The graph of the equation y = -25x + 75 is attached.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Since the pool is 75 feet long, hence b = 75. Also the swimmer travels 2.5 feet per second to the other side, hence m = -25
The equation becomes:
y = -25x + 75
The graph of the equation y = -25x + 75 is attached
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I need some help on this if possible
where C is the circumference, d is the diameter and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.
If you are given the diameter then use the formula C = πd
If you are given the radius then use the formula C = 2πr
Step-by-step explanation: