Answer:
Step-by-step explanation:
Write a list of all possible outcomes
1-2
1-3
1-4
2-1
2-3
2-4
3-1
3-2
3-4
4-1
4-2
4-3
There are 12 possible outcomes. How many of them have totals of 6 or 7
I count 4
So the probability is 4/12 = 1/3, just as you said.
Is there an easier way?
You might be able to get the 12 easier.
You have 4 choices for the first number and 3 for the second.
P(12) = 4*3 = 12
Getting 6 or 7 might be somewhat trickier.
4 and 3 make seven. That gives two ways 4-3 and 3-4
4 and 2 make six. That gives 2 more ways 4-2 and 2-4
That's all that's possible.
answer: 4 ways make success. The total number of ways is 12.
Giles is making tacos for dinner and bought some beef and chicken. At the store, he bought twice as much beef as chicken. The chicken costs $1.85 per pound, and the beef costs $3.70 per pound. Before sales tax, Giles spent a total of $12.95 on beef and chicken. The system of equations below represent the pounds of chicken, x, and pounds of beef, y, that Giles purchased. Part A: Use the ray tool to graph the system of equations on the coordinate plane. Part B: Use the point tool to select the approximate pounds of beef Giles purchased.
Answer:
The answer is below
Step-by-step explanation:
Chicken costs $1.85 per pound, and the beef costs $3.70 per pound. Let x represent the pounds of chicken and y represent the pound of beef. If he spent a total of $12.95, therefore:
1.85x + 3.7y = 12.95 (1)
He bought twice as much beef as chicken, therefore:
y = 2x
y - 2x = 0 (2)
Solving eqn 1 and eqn 2 simultaneously. Multiply equation (2) by 3.7 and subtract from equation (1)
9.25x = 12.95
x = 1.4 pounds
Also substitute x = 1.4 in equation 2:
y - 2(1.4) = 0
y = 2(1.4)
y = 2.8 pounds
The graph was plotted using geogra, the y coordinate of the point of intersection of the two lines, is the approximate pounds of beef.
Answer: Part A. First line= (0,0), (1,2). Second line= (0,3.5), (1,3)
Part B. 2.75 pounds
Step-by-step explanation: It's correct.
question is in the image
Answer:
10 minutes
Step-by-step explanation:
40÷{19−1+(6÷4−1)} PEMDAS form
Answer & Step-by-step explanation:
PEMDAS:
Parentheses
Exponents
Multiplication and Division left to right
Addition and Subtraction left to right
We have two forms of grouping in the expression. Do the inner-most one first, still following PEMDAS within the grouping symbol:
Simplify division:
[tex]6/4=1.5\\1.5-1=0.5\\[/tex]
Re-insert:
[tex]40/(19-1+0.5)[/tex]
Simplify subtraction and addition within parentheses:
[tex]19-1+0.5\\18+0.5\\18.5[/tex]
Re-insert:
[tex]40/18.5[/tex]
Simplify division:
[tex]40/18.5=2.162162162162162162.....[/tex]
:Done
Recycle, reuse, and reduce are referred to as the three R's. Which sequence shows the three R's in order from most to least desirable
Answer:
(1) Reuse; (2) Recycle ; (3) Reduce
Step-by-step explanation:
The ideal sequence would be:
1) Use it again (reuse) if the object still serves its intended purpose/s
2) If not possible to the used again, send it to a recycling plant to extract from it items/parts/substance of utility for other new products
3) if it cannot be reused or recycled, the last option will be to reduce it completely.
⛅️ + ⛅️+ ⛅️= 30
⛅️ + ❄️+ ❄️= 20
❄️ + + = 13
⛅️+ ❄️ x = ??
Answer:
I GOT YOU!
Step-by-step explanation:
⛅️= 10
❄️= 5
x = 8
So,
10+10+10=30
10+5+5=20
5+8= 13
10+5+8=23
I hope I helped...
Suppose Neil Armstrong decided to throw a golf ball into the air while he was standing on the
moon and that the height of the golf ball was modeled by the equation below, where s is
measured in feet and t is measured in seconds s(t) = -2.72t2 + 26.9t + 6. Find the best
approximation for the instantaneous rate of change (velocity) of the golf ball at 7 seconds.
Answer:
At 7 seconds the instantaneous rate of change of the function s(t) with time which is the velocity is -11.18 m/s
Step-by-step explanation:
The given information on the height can be written as follows;
s(t) = -2.72·t² + 26.9·t + 6
Where;
s = The height (displacement) of the golf ball
t = The time taken during the motion of the golf ball
The velocity is found by finding the derivative of the displacement s as follows;
v = d(s(t))/dt = d(-2.72·t² + 26.9·t + 6)/dt = 2×(-2.72)×t + 26.9
When t = 7, v = 2×(-2.72)×7 + 26.9 = -11.18 m/s
Therefore the ball is coming down with 11.18 m/s speed at 7 seconds.
A ball is dropped from the top of a
building. The expression 4.9x2 gives the distance in meters the ball
has fallen after x seconds. Write and simplify an expression that gives the
distance in meters the ball has fallen after x2 seconds. after x3 seconds.
Clear question is;
A ball is dropped from the top of a
building. The expression 4.9x² gives the distance in meters the ball
has fallen after x seconds. Write and simplify an expression that gives the
distance in meters the ball has fallen after x² seconds. after x³ seconds.
Answer:
A) Distance = 4.9x⁴
B) Distance = 4.9x^(6)
Step-by-step explanation:
We are given the expression 4.9x² which is the distance in meters the ball
has fallen after x seconds.
Thus,
A) after x² seconds, we have;
Distance = 4.9(x²)²
Distance = 4.9 * (x²) * (x²)
When we have to multiply 2 same numbers with the same power, the powers add up. Thus, we now have;
Distance = 4.9x⁴
B) after x³ seconds, we have;
Distance = 4.9(x³)²
Distance = 4.9 * (x³) * (x³)
When we have to multiply 2 same numbers with the same power, the powers add up. Thus, we now have;
Distance = 4.9x^(6)
What is the length of the radius of a circle with a center at 2+3i and a point on the circle at 7+2i
Answer:
[tex]\sqrt{26}[/tex]
Write the equation for a parabola that has x − intercepts (−2.2, 0) and (−0.6, 0) and y − intercept (0,3.3). URGENT
PLEASE ANSWER
Answer:
[tex]\bold{y=2.5x^2+7x+3.3}[/tex]
Step-by-step explanation:
Given:
Parabola with
x − intercepts (−2.2, 0) and (−0.6, 0)
and
y − intercept (0,3.3)
To find:
Equation of parabola ?
Solution:
We can use factored form to find the equation of the parabola.
[tex]y=a(x-\alpha)(x-\beta)[/tex]
Where [tex]\alpha, \beta[/tex] are the x intercepts.
Let use put
[tex]\alpha = -2.2\\\beta = -0.6[/tex]
[tex]y=a(x-(-2.2))(x-(-0.6))\\\Rightarrow y =a(x+2.2)(x+0.6)[/tex]
Now, let us put y − intercept (0,3.3) in the above equation to find the value of a.
[tex]\Rightarrow 3.3 =a(0+2.2)(0+0.6)\\\Rightarrow 33 =a(22)(0.6)\\\Rightarrow 3 = 2a\times 0.6\\\Rightarrow a = 2.5[/tex]
So, the equation becomes:
[tex]\Rightarrow y =2.5(x+2.2)(x+0.6)\\\Rightarrow \bold{y=2.5x^2+7x+3.3}[/tex]
Which pair of angles is supplementary?
Answer:
180° angle is supplementry angle
Step-by-step explanation:
180°
Answer:
Option a) ∠RXZ & ∠YXZ
Step-by-step explanation:
If sum of two angles are 180°, then the two angles are called supplementary.
∠RXZ & ∠YXZ forms a straight line and sum of ∠RXZ & ∠YXZ
will be 180. So, they are supplementary
An article that is marked $500 was sold for $450 after a discount is given. Calculate the percentage discount given
Answer:
10% discounted
Step-by-step explanation:
500× X = 450
while X is the sale price
so we solve for X
(500X)÷500 = 450 ÷ 500
X = 0.9
then we turn that into percentage
0.9 × 100 = 90%
finding the discount percentage
100% - 90% = 10%
Is it rational? -8/5
Answer:
yes
Step-by-step explanation:
A rational number is a number that can be written as a ratio of integers
-8/5 is a ratio of integers so it is rational
Answer:
Yes.
Step-by-step explanation:
Rational numbers you can solve. They have a solution.
For Every 6 dogs there are 15 cats at the animal shelter. Sam counted 45 cats. so how many dogs are there?
Answer:18
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
that is the answer
Complete the statement below. The expression illustrates the commutative property of multiplication.
Answer:
Option A
Step-by-step explanation:
The expression that completes the blank is A. 11 x w * x 3 = 11 x 3 x w.
What is the cumulative property of multiplication?The commutative property is a mathematical concept that states that the order in which we multiply the factors does not affect the product.
According to the commutative property, a mathematical principle, the product is unaffected by the order in which we multiply the integers.
According to the above, the example of a commutative property is:
11 x w x 3 = 11 x 3 x w
This expression is the one with the commutative property because it has the same factors on both sides of the equation in a different order and that does not affect the result.
Therefore, the correct answer is A.
This question is incomplete because you are missing the options, here are the options:
A. 11 x w x 3 = 11 x 3 x w
B. 11 x w x 3 = 11 x w x 3
C. (11 x w) x 3 = 11 x (w x 3)
D. 11 x (w x 3) = (11 x w) + (11 x 3)
To know more about cumulative property follow
https://brainly.com/question/2475734
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The plot below represents the function f(x):
Evaluate f(-1):
f(x) represents x-axis. So, for f(-1), look the point of -1. Then vertically, it reaches the point of -3 which is in the y-axis.
Answer is -3.
The second and third terms of a G.P is 6 times the fourth term. Find the possible values of the common ratio.
Answer:
-1/3 or 1/2.
Step-by-step explanation:
Second term = ar, the third = ar^2 and the fourth = ar^3.
So we have the equation:
ar + ar^2 = 6ar^3
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
(3r + 1 )(2r -1) = 0
r = -1/3, 1/2.
When you use induction to investigate a pattern and its rules, your educated guess about what comes next is called a
Answer:
Step-by-step explanation:
The formula for the volume of a pyramid is A times h/3 where A is the area of the pyramid's base and h is its height. The base of the Great Pyramid of Giza is about 53,000 square meters, and its height is about 150 meters. What calculation will give us the estimated volume of the Great Pyramid of Giza in cubic meters?
Answer:
The calculation that will give us the estimated volume is the area of the base of the pyramid of Giza in square meters multiplied by the height of the pyramid of Giza in meters divided by 3 i.e A * h/3
Step-by-step explanation:
Here in this question, we are interested in giving the calculation that will give us the estimated volume of the Great pyramid of Giza in cubic meters.
Mathematically, from the first part of the question, the formula for this is obtainable.
We are told that the formula for calculating the volume of a pyramid is A times h/3 where A represents the area of the base of the pyramid and h represents the height of the pyramid.
In equation form;
V = A * h/3
From the question, we are told that the area of the base is 53,000 m^2 while the height is 150 m
Now, plugging these values into the equation above, we have
V = 53,000 * 150/3
V = 53,000 * 50 = 2,650,000 m^3
The estimated volume of the Great Pyramid of Giza in cubic meters is 2,650,000.
Given the following data:
Base of pyramid = 53,000 square meters.Height of pyramid = 150 meters.To calculate the estimated volume of the Great Pyramid of Giza in cubic meters:
Mathematically, the volume of a pyramid is given by the formula:
[tex]Volume = \frac{1}{3} \times base \;area \times height[/tex]
Substituting the given parameters into the formula, we have;
[tex]Volume = \frac{1}{3} \times 53000 \times 150\\\\Volume = 17,666.667 \times 150\\\\Volume = 2,650,000[/tex]
Volume of the Great Pyramid of Giza = 2,650,000 cubic meters
Read more: https://brainly.com/question/11168779
At what annual simple interest rate should a loan of Rs.5000 be given to receive the same interest that is received when a loan of Rs.6000 is given at an annual simple interest rate of 8%?(Rs is the money unit of sri lanka.)
Formula :-
[tex]\sf \: S.I \: = \frac{P.R.T}{100} \\ [/tex]
Given that :-
The interest received on Rs 5000 = interest received on Rs 6000 , when rate of interest on Rs 6000 is 8 % .
To Find :-
The rate of interest on rupees 5000 .
Solution :-
→ S.I = P.R.T/100
→ 5000.R. 1 / 100 = 6000 × 8 × 1 / 100
→ 50 R = 60×8
→ 50 R = 480
→ R = 480/ 50
→ Rate of interest = 9.6 %
So rate on Rs 5000 is 9.6 %
If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
A. -1, 2
B. -1/2, 5/2
C. -3/2, 3/2
D. -1/2, 1
E. -2/4
Answer:
E (-2, 4).
Step-by-step explanation:
(x/2 + 1)(x/2 - 2) = 0
x/2 = -1, x/2 = 2
x = -2, 4.
The roots will be 2 times the roots of f(x).
Answer:
[tex]\Large \boxed{\mathrm{E. \ -2, \ 4}}[/tex]
Step-by-step explanation:
The zeros of f(x/2) will double the zeros of f(x).
x = -1 × 2 = -2
x = 2 × 2 = 4
PLSSS HELLPPPPP I WILL GIVVEEEE BRAINLIESTTT!!!!!!
Answer: Option A & D are true statements.
Work:
For option A, it states 1 pound = 2.75. Now when we divide 16.50 by 6 we get 2.75, so option A is true.
Option B states 2.75 pounds = 1$. We already know this isn't true seeing as 2.75 pounds would equal 7.56, so option B is false.
Option C reads as 5 pounds equal 15.50. When we multiply 5 by 2.75, we get 13.75, so option C is also untrue.
Option D quotes 12 pounds equals 33. When we multiply 12 by 2.75, it equals 33, so this is a true statement!
Option E says the point 3,9 is on the graph, but its not. So this is not true.
what’s the answer to 4 + 6x + 5 = 7x
Answer: 9
Step-by-step explanation:
4+6x+5=7x
-6x -6x
=
4+5=1x
9=1x
X=9
prove sin^6x+cos^6x+3 sin^2x cos^2x=1
Answer:
its a formulae
we know (sinx+cosx)^3= sin^3x +cos^3x+3sinxcosx(sinx+cosx)
(a+b)^3= a^3 +b^3+3ab(a+b)
Step-by-step explanation:
(sin^2x)^3 +cos^2x)^3+3sin^2x cos^2x(sin^2x+cos^2x)
according to formulae
(sin^2x+cos^2x)^3 {as we know sin^2x+cos^2x =1}
so the (1)^3= 1
{proved}
thank u
Answer: see proof below
Step-by-step explanation:
Use the formula for factoring a cubic: (a³ + b³) = (a + b)(a² - ab + b²)
and the formula for a perfect square: a² + 2ab + b² = (a + b)²
and the Pythagorean Identity: cos²x + sin²x = 1
Proof LHS → RHS
Given: sin⁶x + cos⁶x + 3sin²x cos²x
Regroup: (sin²x)³ + (cos²x)³ + 3sin²x cos²x
Factor Cubic: (sin²x + cos²x)(sin⁴x - sin²x cos²x + cos⁴x) + 3sin²x cos²x
Pythagorean Identity: 1(sin⁴x - sin²x cos²x + cos⁴x) + 3sin²x cos²x
Add like terms: sin⁴x + 2sin²x cos²x + cos⁴x
Regroup: (sin²x)² + 2sin²x cos²x + (cos²x)²
Factor Perfect Square: (sin²x + cos²x)²
Pythagorean Identity: (1)²
Simplify: 1
LHS = RHS: 1 = 1 [tex]\checkmark\\[/tex]
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz Asap Answer my question Anika grows vegetables and sells them at the farm stand. She gives the a discount to local restaurants. The table shows the restaurant price,p of buying vegetables with regular price or r dollars. Write an equation that represents That.
Answer:
price of vegetables= regular price-discount
p=r-discount
Step-by-step explanation:
discount = regular price- price of vegetables
discount= r-p
OR
price of vegetables= regular price-discount
p=r-discount
percentage discount
[(original price- discounted price)/original price]*100= percent discount
Answer:
P = r - 8
Step-by-step explanation:
Got it correct.
87 2/3 written as a decimal
Answer:
2/3= 0.666666666667
Step-by-step explanation:
hello! I’m very confused on this question, I want to know if my format is good? I currently have x^2-14x=16 Am I on the right track?
Answer:
according to me
Step-by-step explanation:
yes u r correct
;]
HOW DO I DO NUMBER 7 SOMEONE HELPP
Answer:
Hey there!
p(x)=7x+25
7x+25=60
7x=35
x=5
Let me know if this helps :)
Question 10 (5 points)
(01.05)
What is the equation in point-slope form of the line passing through (-1, 3) and (1,7)? (5 points)
a. y-7 = 4(x - 1)
b. y-7 = 2(x - 1)
с. y-3 = 2(x - 1)
d. y-3 = 4(x + 1)
Answer:
Hey there!
Slope: 7-3/1-(-1), which is equal to 4/2, or 2.
Point slope: y-7=2(x-1)
So choice B is correct.
Let me know if this helps , or if you have any more questions :)
Describe how the shape moves to get from its position in each frame to the next.
Answer:
1 to 2.
We can see that the figure starts at the bottom left, and then moves to the bottom right.
So the vertical position remains constant, and the horizontal position changed, this can be a reflection around the vertical axis.
2 to 3.
Now the figure goes from the bottom right and moves to the top right, not only that, in (2) the figure is facing up, and in (3) the figure is facing down, then we have a reflection around the horizontal axis.
3 to 4.
Similar to the first case, this is a reflection over the vertical axis.
4 to 5.
Similar to the second case, this is a reflection over the horizontal axis.
(Something to notice, the movements can be called "Rotations over the ___ axis". I used reflection because it is specific for this type of motion, while rotation can be used to describe really complex types of motion)
Translate the phrase into a variable expression.Use the letter p to name the variable the total number of plants divided among 8 yards.
I need some help
Answer:
p/8
Step-by-step explanation: