Please see the attached photos. Hope this helps :). A simpler approach is to think of the probability of the opposing happening, or not getting a number greater than 7 from either draw. I personally like this style of visualization though :)
Seven less than twice a number is 43.
Answer:
x = 25
Step-by-step explanation:
Let's start with the sentence
Seven less than twice a number is 43.
Let's rearrange it to make it easier to convert to an equation
Twice a number subtracted by seven is 43
Now let's convert to an equation
Twice a number: 2x
Subtracted: -
Seven: 7
is: =
43
2x - 7 = 43
Now we can simplify by adding 7 to both sides.
2x = 50
Lastly, let's divide by 2 to isolate the x variable.
x = 25
Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax?
Which expressions are equivalent to 6 + 12x?
Select each equivalent expression.
Answer:
2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)
Step-by-step explanation:
Given the expression 6 + 12x.
The following functions are equivalent;
Factoring out common number;
For 2;
2(3) + 2(6x)
2 (3 + 6x)
Factoring out 3;
3(2) + 3(4x)
3 (2 + 4x)
Factoring out 6;
6(1) + 6(2x)
6 (1 + 2x)
Hence the possible equivalent expressions are 2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)
Las ecuaciones con numeros racionales se resuelven de manera similar a las ecuaciones con numeros enteros
Answer:
es verdadero
Step-by-step explanation:
Need help with this ASAP
Given:
[tex](3x-2)^9[/tex]
To find:
The coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex].
Solution:
We know that, in the expansion of [tex](x+y)^n[/tex],
[tex]T_{r+1}=^nC_rx^{n-r}y^r[/tex] ...(i)
[tex](3x-2)^9[/tex] has only one x and in [tex]x^6[/tex], the power of x is 6. It is possible if
[tex]n-r=6[/tex]
[tex]9-r=6[/tex]
[tex]9-6=r[/tex]
[tex]3=r[/tex]
Putting n=9, r=3, x=3x and y=-2 in (i), we get
[tex]T_{3+1}=^9C_3(3x)^{9-3}(-2)^3[/tex]
[tex]T_{4}=\dfrac{9!}{3!(9-3)!}\times (3x)^{6}(-8)[/tex]
[tex]T_{4}=\dfrac{9\times 8\times 7\times 6!}{3\times 2\times 1\times (9-3)!}\times (729x^{6})(-8)[/tex]
[tex]T_{4}=84\times (729)\times (-8)\times x^{6}[/tex]
[tex]T_{4}=-489888x^6[/tex]
Therefore, the coefficient of [tex]x^6[/tex] in the expansion of [tex](3x-2)^9[/tex] is -489888.
Jonathan has a summer job earns $8.15 per hour .one week , he works 15 3/4 hours . He deposits $120 in a bank and decides to use the rest of the money to buy raffle tickets. Each raffle ticket costs $0.50 . How many raffle tickets can Garth buy ?
Need answers ASAP pliss
Answer:
16....................
The spinner is spun 240 times. What is a reasonable prediction for the number of times the spinner will land on a 3.
Answer:120 times
Step-by-step explanation:4/8 = x/240. 4/8 x 240/1 4/1 x 30/1 = 120/1 = 120.
Reduce 8 to 1 and 240 to 30.
Answer:
120
Step-by-step explanation:
ANSWER ASAP
-2X=34
SHOW WORK
Answer:
-2x =34
Step-by-step explanation:
-2x = 34
or , -x = 34 ÷2
or , -x = 17
x = -17
Answer:
x = -17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
-2x = 34
Step 2: Solve for x
Divide -2 on both sides: x = -17Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -2(-17) = 34Multiply: 34 = 34Here we see that 34 does indeed equal 34.
∴ x = -17 is the solution of the equation.
What the input calue for y=3x + 5
1.the input value is x
2.The input value is y
Which one ??
the input value is x because when you use the equation you need x to get y.
The midpoints of the sides of a square of side 6 are joined to form a new square. This procedure is infinitely repeated for each new square, what is the sum of the areas of all the squares?
Just take the points, I already have the answer!
Lets see
For side=6
Area=side²=6²=36units²Now midpoints are the connections so diagonal of half side are the sides of new one
New side
√(6/2)2+(6/2)²√3²+3²√183√2New area
(3√2)²=18Again new area will be half of old area
18/2=9Again
9/2=4.5This forms a geometric sequence
First term=a=36Common ratio=r=(0.5)Now
sum for infinite series:-
[tex]\\ \rm\Rrightarrow \dfrac{a}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{1-0.5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{0.5}[/tex]
[tex]\\ \rm\Rrightarrow 72units^2[/tex]
There is an installation fee to join the Pine River country club as well as monthly dues the total cost of her seven month membership will be $3200 and after one and a half years $3970 find both the intuition feet and the monthly dues
Answer:
Monthly charges = $70
Intuition charges = $2710
Step-by-step explanation:
There is intuition fee and per month fee for joining the Pine River country club.
Total cost for 7 months is $3200
Total cost for one and a half years is $3970
one and a half years means 18 months.
To find:
Intuition fee and monthly dues?
Solution:
Let the intuition fee = [tex]i[/tex]
Let the monthly dues = [tex]m[/tex]
Total cost for 7 months can be represented as
[tex]i+7m = 3200[/tex] ..... (1)
Total cost for 18 months can be represented as
[tex]i+18m = 3970 .... (2)[/tex]
Here, we have 2 equations and 2 variables whose values are to be found.
Let us use elimination method to solve the equations.
Subtracting equation (1) from (2):
[tex]11m = 770\\\Rightarrow m = 70[/tex]
Therefore, the monthly dues are $70.
Using equation (1), we can find the value of [tex]i[/tex].
[tex]i + 70\times 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710[/tex]
Therefore, intuition charges are $2710.
nts
3.2 Domain and Range
Score: 30/190 3/19 answered
Question 8
Complete the description of the piecewise function graphed below.
{
f(x) = {
{
+
2
+
8
8
if -6 ≤ x ≤ -1
if -1 < x≤2
if 2 < x≤6
the missing functions in the piecewise function are f(x) = - x - 4 for - 6 ≤ x ≤ - 1, f(x) = 4 for 1 < x ≤ 2 and f(x) = - 1 / 2 x - 6 for 2 < x ≤6.
We are given the graph of a piecewise function.
We need to complete the function to represent the graph completely.
We know that, a piecewise function is a function that has different functions for a particular set of values for x.
Here, we can see that:
For the values of x in between - 6 and - 1 that is - 6 ≤ x ≤ - 1, we get the function as:
f(x) = - x - 4
For the values of x in between - 1 and 2 that is - 1 < x ≤ 2, we get the function as:
f(x) = 4
For the values of x in between 2 and 6 that is 2 < x ≤6, we get the function as:
f(x) = - 1 / 2 x - 6
Therefore, we get that, the missing functions in the piecewise function are f(x) = - x - 4 for - 6 ≤ x ≤ - 1, f(x) = 4 for 1 < x ≤ 2 and f(x) = - 1 / 2 x - 6 for 2 < x ≤6.
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K
The selling price of a refrigerator, is $724.50. If the markup is 5% of the dealer's cost, what is the dealer's cost of the refrigerator?
If the markup is 5% of the dealer's cost then the dealer's cost of the refrigerator is $690.
Markup can be calculated using the formula.
Markup= (Selling price - Cost )/Cost
In the given question
The selling Price = $724.50
markup = 5% = 0.05
let the dealer's cost be "x".
Substituting the values in the dealer's formula we get
Markup= (Selling price - Cost )/Cost
0.05=(724.50-x)/x
0.05x=724.50-x
x+0.05x=724.50
Solving further we get
1.05x=724.50
x=724.50/1.05
x=690
Therefore , the dealer's cost of the refrigerator is $690.
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Which expression represents the perimeter of the rectangle shown below
Answer:
D
Add all of the sides together. 2x+1 plus 2x+1 equalls 4x +2
Then add that to (xsquared+3x-2 + xsquared+3x-2) which is 2xsquared +6x-4+4x+2 which equalls D
Its D
------------------
Simplify the expression: 7(9x + 6y)
Answer:
63x + 42y
Step-by-step explanation:
P.S Can I have brainliest?
one number is 12 more than twice another number. what are the numbers if their sum is 72?
Answer: 20, and 52
Step-by-step explanation: lets "translate" the sentence
one number=a
the other numebr b=2a+12
a+b=72
a+2a+12=72
3a=72-12
3a=60
a=60/3=20
a=20
b=52
a=b=72
Is TA congruent to GO? Proof?
Answer:
Yeah
Step-by-step explanation:
find the domain and range of {(x, y) : |x| + y ≥ 2}
Answer:
[tex]\textsf {Domain} : -\infty \: < x < \infty \\\textsf {In interval notation: } (-\infty, \infty)}[/tex]
[tex]\textsf {Range: } f\left(x\right)\le \:2 \\\textsf {In interval notation:} \:(-\infty \:,\:2][/tex]
Step-by-step explanation:
There are no undefined points for the function. So the domain is the set of all x values
The domain of x is (-∞, ∞) so x can be negative or positive. However, |x| is always positive
So if the inequality |x| + y ≥ 2 is to hold good then y has to be less than equal to 2, otherwise the left side drops below 2 and the inequality is not satisfied.
So the range is the set of all values in the interval (-∞, 2)
Check out the graph for a visual interpretation
sort the words into a category based on welther they indicate a positive number or a negative number.
- loss
- gain
- below
- adding
- taking away
- above
Answer:
Negative numbers: Loss, below, taken away
Positive numbers: Gain, Adding, Above
Alan got 72 questions correct on the last math exam. He got 85 questions correct this time. By what percent did the number of questions correct increase? (Round to the nearest whole percent)
A. 84%
B. 16%
C. 118%
D. 18%
Answer:
D.
Step-by-step explanation:
the difference between 85 and 72 is 13. 13 is 18% of 72.
5) Write the equation of the line to the right.
Answer:
y = -3x - 4
Step-by-step explanation:
to get -3x, you calculate the slope, so you can pick a point and use rise over run, and to get -4, it starts -4 down on the x line
Ok, the explanation is horrible, but i promise the answer is correct
Answer:
y=-1/3x-4
Step-by-step explanation:
Help my 5th Grade son with his I-Ready
The question is Multiply 1 by 5 and the equation is 152 x 61 but there's a box above the number 1 and a box under 6, what do we put and how do we solve it?
Answer:
well the answer will come out to 9272
Step-by-step explanation:
why dose my teacher make me have my cam on even tho im eating
Answer:
Probably so she knows you are not playing video games and you are paying attention to what she is saying.
Step-by-step explanation:
Brainliest Please!!
- Hermionia
Answer:
because she's lonely and she misses seeing you guys I guess. My teachers ~itch abt it but they dont make us.
Step-by-step explanation:
Question 10 of 10
Jerry drew AJKL and AMNP so that ZK = ZN, LL LP, JK= 6, and
MN = 18. Are AJKL and AMNP similar? If so, identify the similarity postulate
or theorem that applies.
O A. Similar - AA
O B. Cannot be determined
C. Similar - SSS
OD. Similar - SAS
The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.
It is given that two triangles that are JKL and MNP are considered in which:
∠K = ∠N
∠L = ∠P
JK = 6
MN = 18.
Now, from ΔJKL and ΔMNP, we have
∠K = ∠N (Given in the question)
∠L = ∠P(Given in the question)
Thus, by AA rule of similarity,
ΔJKL is similar to ΔMNP.
Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.
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Your question was incomplete. Please refer the content below:
Jerry drew JKL and MNP so that K= N,L= P, JK=6, and MN=18. Are JKL and MNP similar? IF so, identify the similarity postulate or theorem that applies.
A. Similar - AA
B. Cannot be determined
C. Similar - SSS
D. Similar - SAS
I hate school I’m supposed to be in 12th but I’m in 11th I’m doing my credit recovery classes it’s just exhausting for me
Solve the area formula fora triangle, A= 1/2bh, for b. A. b=A/2h. B. b=2h/A. C.b=h/2A. D.b=2A/h
Answer:
D. b=2A/hStep-by-step explanation:
GivenA= 1/2bhSolving for b A= 1/2bh ⇒ given2A = bh ⇒ multiply by 22A/h = b ⇒ divide by hb = 2A/hOption D is correct
What is the constant in the expression?
15x² + 2x – 3
Answer: -3
Step-by-step explanation:
Answer:
the constant in this expression is 3
Step-by-step explanation:
the constant is a single number
The ratio of athletes to non-athletes at Taylor Middle School is 3 to 4. If there are 225 athletes in the school, how many non-athletes are there?
Answer:
0 because no one wants to be a nerd
Answer:
300 non athletes
Step-by-step explanation:
Need help with 5 and 6 will give branliest to the first to answer
Answer:
j
Step-by-step explanation:
Answer:
i think the first on is A.
Step-by-step explanation:
Find the distance between the points (-16, -16) and (8, -16).
Answer:
24 units
Just add the distance that each is from the origin.
(-16, -16) is 16 away from 0, 0
(8, -16) is 8 away from origin
16 + 8 = 24
This only works because these two points` x-axis coordinates match. It doesn`t work with everything.