Answer:
it's 4x-2y<12
Step-by-step explanation:
what does 3½-1⅞ equal???
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
O 8 cm and 9 cm
Answer:
8 cm and 9 cm
Step-by-step explanation:
The sum of any 2 sides on a triangle must add up to be more than the 3rd side.
Find the volume of a regular square pyramid with base edge 10 ft. and height 12 ft.
120 ft
75ft?
400 ft
D 300 ft?
Answer:
V = 400 ft^3
Step-by-step explanation:
The area of the base of this regular square pyramid is (10 ft)^2, or 100 ft^2.
Recalling that the area of a pyramid is V = (1/3)(base area)(height), in this case we get V = (1/3)(100 ft^2)(12 ft) = 400 ft^3
3. I opened a compound interest account with $300 at 2%. How much money will be in the
account at the end of 18 months?
Answer:
there will be 408$ at the end of 18 months
Step-by-step explanation:
2% of 300 is 6 and 6 x 18 = 108. 108 + 300 = 408
GIVING BRAINLIEST!
PLS HELP
the weather channel predicts the chance of rain on friday to be 28%, on saturday to be 62%, and on sunday to be 49%. what is the probability of a rain-free weekend? math problem
The probability of a rain-free weekend is 0.6962
The probability = Number of favorable outcomes / Total number of outcomes
The probability of rain on Saturday = 62/100
= 31/50
The probability of rain on Sunday = 49 /100
The probability of rain on Saturday and Sunday = The probability of rain on Saturday × The probability of rain on Sunday
= (31/50) × (49/100)
= 0.3038
The probability of rain free weekend = 1 - The probability of rain on Saturday and Sunday
Substitute the values in the equation
The probability of rain free weekend = 1 - 0.3038
= 0.6962
Hence, the probability of a rain-free weekend is 0.6962
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\(\begin{aligned} &\text { 55. At which term does the sequence }\\ &\{10,12,14.4,17.28, \ldots\} \text { exceed } 100 ? \end{aligned}\)
Answer:
14th term
Step-by-step explanation:
12÷10 = 1.2
14.4÷12 = 1.2
17.28÷14.4 = 1.2
Then it’s a geometric sequence of first term ‘V₀=10’ and common ration ‘q = 1.2’
We call it (Vn)
The general term of the sequence:
Vn = V₀×qⁿ⁻¹ = 10×(1.2)ⁿ⁻¹
To determine the term at which the sequence exceeds 100 we have to solve the equation:
Vn ≥ 100
⇔ 10×(1.2)ⁿ⁻¹ ≥ 100
⇔ (1.2)ⁿ⁻¹ ≥ 100/10
⇔ (1.2)ⁿ⁻¹ ≥ 10
⇔ ln(1.2)ⁿ⁻¹ ≥ ln(10)
⇔ (n-1)×ln(1.2) ≥ ln(10)
\(\Longleftrightarrow n-1\geq\frac{ln10}{ln1.2}\)
\(\Longleftrightarrow n-1\geq12.6\\\Longleftrightarrow n\geq13.6\\\Longrightarrow n=14\)
Verification:
\(V_{14}=10\times \left( 1.2\right)^{14-1} =106.993205379072\)
I will give you 30 points
1. Three examples of situations where consistency is important:
HealthcareFinancial transactionsSports RulesHow do these portray consistency?Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.
Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.
Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.
2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.
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______ as a type of sales promotion is beneficial because they can encourage consumers to try out a product at reduced risk, but they can be detrimental because they reduce perception of value for the product or service.
Free samples or product trials as a type of sales promotion can be both beneficial and detrimental. They encourage consumers to try a product at reduced risk, but they can also reduce the perception of value for the product or service.
Offering free samples or product trials is a common sales promotion strategy to attract customers and encourage them to try a product or service. This approach has several benefits. Firstly, it lowers the perceived risk for consumers as they can experience the product without making a financial commitment upfront. This can be especially effective for new or unfamiliar products, as it allows potential customers to test the product's quality and functionality.
However, there can be drawbacks to this sales promotion technique. Providing free samples or trials can create the perception that the product or service has less value or is of lower quality. Consumers may develop a mindset of expecting free or discounted offerings, and it can undermine the willingness to pay the full price in the future. Additionally, if the free samples or trials are not managed effectively, it may attract individuals who are not genuinely interested in the product, leading to wastage of resources and potentially diluting the brand image.
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HELP PLEASE!!
If –8x + 2y = -4 is a true equation, what would be the value of 40x – 10y?
The lengths of the sides of langle are in the extended ratio 7 : 8 : 9 . The perimeter of the triangle to 72 cm. What are the lengths of the sides?
Answer:
21cm, 24cm and 27cm
Step-by-step explanation:
7+8+9=24
72/24 = 3
7X3 =21
8x3 = 24
9x3 = 27
Please Help super fast for 20 points- Find the scale factor ABC PQR
The scale factor used in the dilation of the triangles is 2/3
Determining the scale factor used in the dilationFrom the question, we have the following parameters that can be used in our computation:
ABC = 18
PQR = 12
The scale factor is calculated as
Scale factor = PQR/ABC
Substitute the known values in the above equation, so, we have the following representation
Scale factor = 12/18
Evaluate
Scale factor = 2/3
Hence, the scale factor used in the dilation of the triangles is 2/3
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factor this trinomial: 5x^2+17x+6
Step-by-step explanation:
Hey there!
Given;
\( = 5 {x}^{2} + 17x + 6\)
Solve it through mid-term factorization.
\( = 5 {x}^{2} + (15 + 2)x + 6\)
Simplify it.
\( = 5 {x}^{2} + 15x + 2x + 6\)
\( = 5x(x + 3) + 2(x + 3)\)
\( = (5x + 2)(x + 3)\)
Therefore the factors are; (5x+2) (x+3).
Hope it helps...
Write the equation for the line that passes through the point (0, -4) and has the same slope as y=2over3 X + 1over2
y=------x------
Answer:
y=2/3x-4
Step-by-step explanation:
y-b=m(x-a)
y--4=2/3(x-0)
y+4=2/3(x-0)
3y+12=2(x-0)
3y+12=2x-0
3y=2x-12
y=2/3x-4
Which of the following values is a solution to the inequality? 12 – 5x > -8
Answer:
x < 4
Step-by-step explanation:
12 – 5x > -8
Subtract 12 from each side
12-12 – 5x > -8-12
-5x> -20
Divide each side by -5, remembering to flip the inequality
-5x/-5 < -20/-5
x < 4
help meeeeeeeeeeeeeeeeeeeeeef(x) = 2x - 7. evaluate f(0.5)
Answer:
f(x)=-6
Step-by-step explanation:
f(0.5) means that x=0.5, so you substitute the x with .5 and multiply it times 2 which will get you 1. Then you subtract 7 to get -6.
Answer:
f(0.5)=-6
Step-by-step explanation:
f(x)=2x-7 f(0.5)
Just put in 0.5 for the x.
f(x)=2(0.5)-7
f(x)= 1 - 7
f(0.5) = -6
I hope you understand how to do these
Hope this helped :)
Use the Distributive Property to simplify 8(y+3)
\(8y+24\). you multiply all of the values in the parentesys.
Answer:
\(\huge\boxed{\sf{8y+24}}\)
Step-by-step explanation:
Hello.
Let's recall that the Distributive Property states that
a(b+c)=ab+acUsing the formula, let's simplify:
8(y+3)
Multiply 8 times y and 8 times 3 and add the products:
8y
24
Add:
8y+24
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
if you had to serve six persons equally from a standard 750-ml. bottle of champagne, how many oz. could you serve each of them?
If you were serving a metric standard 750 ml bottle of champagne to 6 people equally, you would need to pour 4.2 fl oz to each one of them to get 6 equal serving.
A bottle of champagne with a metric unit of volume of 750 ml divided equally among 6 people will give each of them a 125 ml serving of champagne by volume.
750/6=125
Converting metric system to imperial unit of volume of US fluid ounce, with 1 fl oz = 29.57 ml, you will get:
125/29.57=4.23
Hence you will be pouring each one of them 4.2 fl oz serving of champagne.
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Complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y. At this rate, how many people can be transported on 40 buses?
Answer:
\(y = 40\cdot k\)
Step-by-step explanation:
Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:
\(y \propto x\)
\(y = k \cdot x\)
Where \(k\) is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:
\(y = 40\cdot k\)
Answer:
The first answer is ''y=45 x''
1800 people for the second one
Which of the following statements must be true based on the diagram below? Select all that apply.
RS is a segment bisector.
RS is an angle bisector.
RR is the vertex of a pair of congruent angles in the diagram.
RR is the midpoint of a segment in the diagram.
SS is the midpoint of a segment in the diagram.
None of the above.
RS is a segment bisector.
R is the vertex of a pair of congruent angles in the diagram.
S is the midpoint of a segment in the diagram.
Options A, C, and E are the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the diagram below we have,
PQ = segment
RS = Bisector of the segment PQ
R = Vertex having two congruent angles.
Thus,
RS is a segment bisector.
R is the vertex of a pair of congruent angles in the diagram.
S is the midpoint of a segment in the diagram.
Options A, C, and E are the correct answer.
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1/3(6y + 6)+21=3y
What is the solution to the equation above
Answer: Y=23
Step-by-step explanation: Just search the equation, It will show each step and how.
The solution to the given equation 1/3(6y + 6) + 21 = 3y is y = 23.
To find the solution to the equation 1/3(6y + 6) + 21 = 3y, we need to simplify and isolate the variable y. Let's solve it step by step:
1/3(6y + 6) + 21 = 3y
First, distribute 1/3 to the terms inside the parentheses:
2y + 2 + 21 = 3y
Combine like terms:
2y + 23 = 3y
Next, subtract 2y from both sides to isolate the variable:
23 = 3y - 2y
23 = y
In the given equation, we simplified and solved for the value of y. The equation was rearranged by distributing 1/3 to the terms inside the parentheses and combining like terms. Finally, we isolated the variable y by subtracting 2y from both sides of the equation. The resulting solution is y = 23.
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find the area of the trapezoid below by decomposing it into fimilar shape?
Answer:
168 feet
Step-by-step explanation:
area of trapezoid = length (a)+ breadth(b) / 2 height
What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
1. -x² +6x+4
2. 3x²+6x+4
3. 9x + 4
4. gx²+4
Answer:
6x+4+3x²Step-by-step explanation:
Given polynomials:
(6x+7+x²)+(2x²-3)
Solution:
(6x+7+x²)+(2x²-3)Removing brackets,
6x+7+x²+2x²-3Collecting like terms,
6x+7-3+x²+2x²Simplifying ,
6x+4+3x²Done!
Hence option 3 is correct.
What is quadratic equation?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form: ax² + bx + c = 0.
The given expression is;
(6x+7+x²)+(2x²-3)
Now add the like term in the given expression,
⇒ x² + 2x² + 6x + 7 - 3
⇒ 3x² + 6x + 4
Hence,
The sum of polynomial is 3x² + 6x + 4.
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PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:
12
Step-by-step explanation:
\(\dfrac{x}{4} + 17 = 20\\\dfrac{x}{4} = 20 - 17\\\dfrac{x}{4} = 3\\x = 4 \cdot \;3 \\\\x = 12\)
Answer:
x = 12
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ (x/4) + 17 = 20
Then the value of x will be,
→ (x/4) + 17 = 20
→ x/4 = 20 - 17
→ x/4 = 3
→ x = 3 × 4
→ [ x = 12 ]
Hence, the value of x is 12.
\(\sqrt31\) simplified
Answer:
Decimal: 5.567764)
Step-by-step explanation:
Decimal: 5.567764)
If your heart beats an average of 120 times per minute during a distance race, how many times would your heart beat during a race of 12 hours?
Answer:
I think the answer you're looking for is 86400
Step-by-step explanation:
Ted and Carlos are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Ted sold 13 packages of sugar
cookie dough and 7 packages of gingerbread cookie dough for a total of $135. Carlos sold 13 packages of sugar cookie dough and 11 packages of gingerbread cookie dough for a total of $175. Find the cost each of one package of sugar cookie dough and one package of gingerbread cookie
dough.
Answer:
the sugar cookie dough is $5 each and the gingerbread is $10 each.
Answer:
1 sugar cookie pack=$ 5
1ginger cookie pack=$10
Step-by-step explanation:
13x+ 7y=135
13x+ 11y= 175
by subtraction
4y=40
y=10
substituting the value of y in any of the above equation
13x+7×10= 135
13x+70=135
13x=135-70
13x=65
x=65/13
x=5
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. write a function to model the cost of services there and then determine how many services you had if you were charged $25.
The function is f(x) = 15x + 25 and you would have 6 services if you were charged $25
We know that the hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services, therefore:
Let x = number of services, then we can obtain the function as:
f(x) = 15x + 25 (function)
when we further solve the function, we get the answer for how many services one would have if we were charged $25,
f(x) = 15x + 25
115 = 15x + 25
90 = 15x
6 = x
Now, we know that the function is f(x) = 15x + 25 and you would have 6 services if you were charged $25
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What is 72 out of 96?
Answer:
75%
Step-by-step explanation:
72 is 75% of 96
Write the converse form of: If an angle measures 180 degrees,
then it is a straight angle.
Answer:
yes tht is correct 180 degrees is a straight line
Step-by-step explanation: