Answer: $2
Step-by-step explanation:
p=cost of pens
23-8p=7
23-23-8p=7-23
-8p=-16
p=$2
A supermarket wants to find the percent of shoppers who use coupons. A manager interviews every shopper entering the greeting card aisle.
When the supermarket wants to find the percent of shoppers who use coupons. A manager interviews every shopper entering the greeting card aisle. This is a convenience sampling.
What is a convenience sampling?A non-probability sampling technique called convenience sampling includes taking a sample from the nearest area of the population. Pilot testing benefits the most from this kind of sample. The most popular kind of convenience sampling concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach.
Convenience sampling techniques include inviting friends to take part in your study, gathering information from local sites, mailing surveys, and posting links on social media.
In conclusion, the correct option is A.
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A supermarket wants to find the percent of shoppers who use coupons. A manager interviews every shopper entering the greeting card aisle.
convenience sample
Self-selected sample
systematic sample
random sample
Fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.Kyle and his family are planning a vacation in Cancun, Mexico. Kyle wants to convert 200 US dollars to Mexican pesos for spending money. If 278 Mexican pesos are equivalent to 25 , how many pesos will Kyle get for 200?
F. 2178
G. 2224
H. 2396
J. 2504
Converting Mexican pesos to US dollars, Kyle will get 2224 Mexican pesos for 200 US dollars.
In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.
A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.
If 278 Mexican pesos is equivalent to 25 US dollars,
278 Mexican pesos = 25 US dollars
Dividing both sides by 25,
278/25 Mexican pesos = 25/25 US dollars
11.12 Mexican pesos = 1 US dollar
Therefore, 1 US dollar is equivalent to 11.12 Mexican pesos.
The conversion factor is 11.12 Mexican pesos/1 US dollar.
If Kyle wants to convert 200 US dollars to Mexican pesos for spending money, and 1 US dollar is equivalent to 11.12 Mexican pesos, multiply the amount by the conversion factor.
200 US dollars (11.12 Mexican pesos/1 US dollar)
= 2224 Mexican pesos
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A bakery sells an average of 14 dozen cupcakes a day to about 50 customers. what is their average sale rate, in cupcakes per customer?
i also need the answer really quick!!!
The average sale rate is 3 cupcakes per customer.
What are mathematical operations?The principle of superposition denotes a mathematical operation (e.g., differentiation, multiplication by a constant) in which the action on the sum of two functions is the sum of the action on each function.So, in 1 dozen there are 12 pieces.
Then,
14 × 12 = 168168/50 = 3.36After rounding off: 3 pieces per customerTherefore, the average sale rate is 3 cupcakes per customer.
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If DM = 35, what is the value of r? DG = r+2. GM = 2r-13.
Based on the given parameters, the value of r is 46/3
How to determine the value of r?
The given parameters are
DG = r + 2
GM = 2r - 13
DM = 35
This means that
DM = DG + GM
So, we have
r + 2 + 2r - 13 = 35
Evaluate the like terms
3r = 46
Divide both sides by 3
r = 46/3
Hence, the value of r is 46/3
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4 \large \frac{7}{12} + 2 \large \frac{3}{4} + 7 \large \frac{5}{12}
The value of expression [tex]4\frac{7}{12} +2 \frac{3}{4} + 7\frac{5}{12}[/tex] is [tex]\frac{157}{12}[/tex].
We solve this type of fraction by firstly simplifying it into proper fraction. For simplifying it into proper fraction, we multiply denominator of the complex fraction with whole number given with fraction and then add the numerator of the complex fraction
e.g. [tex]4\frac{7}{12}[/tex] = [tex]\frac{12*4+7}{12}[/tex]
so, The given question can be written down as [tex]4\frac{7}{12} +2 \frac{3}{4} + 7\frac{5}{12}[/tex]
i.e. [tex]\frac{35}{12} +\frac{11}{4} + \frac{89}{12}[/tex]
Taking LCM and then writing the equation again
[tex]\frac{35+33+89}{12}[/tex]= [tex]\frac{157}{12}[/tex]
Final answer, the simplified value will be [tex]\frac{157}{12}[/tex]
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Example 4 PH00F Write a two-column proof of Theorem 4.3 .
The proof of Theorem 4.3 with an example is shown.
What is theorem 4.3?Third Angles Theorem: If two angles of one triangle are congruent with two angles of another triangle, then the third angles must be congruent as well.To prove Theorem 4.3:
Let,s take two triangles, that is △ABC and △ADC.
In which AC⊥BD so ∠ACB ≅∠ACD.As, AC bisects ∠A so, ∠BAC ≅ ∠DAC.Since two pairs of angles are congruent, then the △ABC≅△ADC is under AA condition.
Then, ∠B≅∠D under CPCT condition (corresponding parts of congruent triangles).Therefore, the proof of Theorem 4.3 with an example is shown.
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Determine the perimeter of a triangle with vertices defined by the given points to the nearest tenth. a(1,1),b(2,5),c(5,1)
A triangle with vertices located at A(1 , 1), B(2 , 5), and C(5 , 1) has a perimeter of 13.1 units.
A triangle is a two-dimensional shape that has three sides or edges and three vertices.
Perimeter refers to the distance around any two-dimensional shape. The perimeter of a triangle is the sum of the length of its sides.
To solve for the perimeter of triangle ABC with vertices located at A(1 , 1), B(2 , 5), and C(5 , 1), solve first for the length of each side, namely side AB, side BC, and side AC.
And to solve for the length of each side, use the distance formula given by:
d = √(x2 - x1)^2 + (y2-y1)^2
side AB : d = √(2 - 1)^2 + (5 - 1)^2 = √1 + 16 = √17 units
side BC : d = √(5 - 2)^2 + (1 - 5)^2 = √9 + 16 = √25 = 5 units
side AC : d = √(5 - 1)^2 + (1 - 1)^2 =√16 + 0 = √16 = 4 units
Solving for the perimeter of triangle ABC,
P = AB + BC + AC
P = √17 + 5 + 4
P = 4.123 + 9
P = 13.123 units
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A conditional statement has the same truth value as:
Contrapositive
Converse
, ,
Inverse
A conditional statement has the same truth value as Contrapositive
How to complete the statement?From the question, we are to determine which type of conditional statement has the same truth value as the original statement
As a general rule, if the truth value of an original statement is True, the truth value of the contrapositive would also be true
Similarly;
If the truth value of an original statement is false, the truth value of the contrapositive would also be false
Hence, a conditional statement has the same truth value as contrapositive
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[ Brainliest + 20 points]
The smallest angle by which a regular 30-sided figure can be rotated to look exactly like the original figure is __ degrees.
Answer:
12°
Step-by-step explanation:
The angles of the shape should all add to 360°.
We divide this by 30, because the shape has 30 angles.
360° ÷ 30 = 12°.
This is the measure of each angle, and also the degree of rotation. The shape will look like the original figure each time it is rotated 12°.
Collaborate
CSP Use Math Tools Work with a partner. If the measure of 21 in
the figure at the right is 40°, determine the measure of each given
angle without using a protractor. Then check your answers by
measuring with a protractor.
1. 22
3. 24
5. 26
7. 28
2. 23
4. 25
BeacO0CCO
6. 27
>
The measure of angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 will be 40°, 140°, 40°, 140°, 40°, 140°, 40°, and 140°, respectively.
What is an angle?The angle is the separation of the crossing surfaces or lines. Additionally, the angle is specified in degrees. One whole spin has an arc of 360 degrees.
If the total of two angles is 180 degrees, they are said to be supplementary angles.
In the third line, if two lines are parallel. Equal angles are formed by matching angles.
When two lines intersect, then their opposite angles are equal.
The measure of angle ∠1 is 40°.
Angle ∠1 and angle ∠2 are supplementary angles. Then the measure of angle ∠2 will be
∠1 + ∠2 = 180°
40° + ∠2 = 180°
∠2 = 140°
The vertical angles are given below.
∠1 = ∠3 = 40°
∠2 = ∠4 = 140°
The corresponding angles are given below.
∠1 = ∠5 = 40°
∠2 = ∠6 = 140°
∠3 = ∠7 = 40°
∠4 = ∠8 = 140°
Then the measure of angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 will be 40°, 140°, 40°, 140°, 40°, 140°, 40°, and 140°, respectively.
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Find the distance between each pair of points. Round to the nearest tenth. A(1,5) and B(-2,-3)
The distance between X(5,4) and Y(2,1) is 4.24 rounded to the nearest tenth.
How to find the distance between two points?Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
The distance between two points (x₁, y₁) and (x₂, y₂) is given by ;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
So,
Distance between A(1,5) and B(-2,-3)
[tex]d = \sqrt {\left( {1 + 2 } \right)^2 + \left( {5 + 3 } \right)^2 }[/tex]
d = 8.544
Roud to nearest tenth ⇒ 8.54 units.
Hence "The distance between A(1,5) and B(-2,-3) is 8.54 rounded to the nearest tenth".
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A number is divided by 2, and then the quotient is increased by 8. The result is 33.
OA) / +8=33; 0.08
OB) +8=33; 50
OC)/2+8=33; 82
OD)-8=33; 82
Need help with this question?
The dividend is 50 , the quotient is 25 .
Let the no . ( the divisor ) be x .
Forming linear equation in one variable using given info .
Given : divisor = 2 , result = 33 , quotient increased by 8 .
Division Formula : Dividend = Divisor * Quotient .
Hence , the equation is ,
( x / 2 ) + 8 = 33
( x / 2 ) = 25
x = 50
Hence the dividend is 50 .
The quotient is 25 .
Therefore , option B ) is correct + 8 = 33 ; 82 .
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If m angle EFH = (5x+1), m angle HFG = 62 degrees, m angle EFG = (18x+11), find each measure
The measure of each angles are 21 and 83degrees
Addition postulateA line is defined as the distance between two points while an angle is the point where two lines intersect.
From the diagram shown, the expression below is true;
<EFH + <HFG = <EFG
Substitute the given parameters to have:
5x+1 + 62 = 18x + 11
Collect the like terms
5x - 18x = 11 - 63
-13x = -52
x = 52/13
x = 4
Find each measure
<EFH = 5(4) + 1
<EFH = 21
degrees
<EFG = 18(4) +11
<EFG = 72 + 11
<EFG = 83 degrees
Hence the measure of each angles are 21 and 83degrees
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a. Which property does the equation 3(g+h)+2 g=(3 g+3 h)+2 g illustrate?
Which property does the equation 3(g+h)+2 g=(3 g+3 h)+2 g illustrate?
Distributive property .
What is distributive property?
According to the distributive property, an expression of the form A(B + C) can be resolved as A (B + C) = AB + AC.Subtraction is similarly subject to this distributive law. This indicates that the distribution of operand A among the other two operands.When we need to multiply a number by the sum of two numbers, the distributive property of multiplication over addition comes into play. In this case, 9(5+5)=9(5)+9(5)=90.To learn more about distributive property, refer:
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61.3% as a fraction pls
Answer:
[tex]\frac{613}{1000}[/tex]
Step-by-step explanation:
50pts to whoever can solve these literal equations correctly.
please hurry!!!
Answer:
I'll go with the last option. c=√Em
Solve each equation or inequality.
4 x+6 ≥ -6
After solving for equation or inequality 4 x+6 ≥ -6, the value of x ≥ -3
⇒ 4 x+6 ≥ -6
⇒ 4x ≥ -6-6
⇒ 4x ≥ -12
⇒ x ≥ -12/4
⇒ x ≥ -3
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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The common sparrow has a wingspan of 9 to 15 centimeters. Which inequality matches the wingspan of the common sparrow?
An inequality that matches the wingspan of the common sparrow is 9 ≤ x ≤ 15, where x represents the wingspan of the common sparrow.
In this question, we have been given a statement 'The common sparrow has a wingspan of 9 to 15 centimeters. '
We need to write an inequality that matches the wingspan of the common sparrow.
Let x represents the wingspan of the common sparrow.
According to given statement, the common sparrow has a wingspan of 9 to 15 centimeters.
So, the required inequality would be,
9 ≤ x ≤ 15
Therefore, an inequality that matches the wingspan of the common sparrow is 9 ≤ x ≤ 15, where x represents the wingspan of the common sparrow.
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If w = 22, what is the value of 4w − 12?
Answer:
76
Step-by-step explanation:
Well just substitute 22 in for w. Multiply 4 time 22 that equals 88. Then just subtract 12 from 88, and you end up with your final answer of 76
(9.8)²-10² please help
Answer:
Step-by-step explanation:
-9
Round the decimal to the nearest whole number. 65.618
Answer:
66
Step-by-step explanation:
If <3 measures 123°, what is the measure of <4?
The value of angle 4 is 57°
How to determine the angle
From the image shown, we can see that angle 3 and angle 4 are on a straight line.
It is important to note that angles on a straight line sum up to 180 degrees.
We have angles 1 and 2 are supplementary, that is, they sum up to 180 degrees
Angles 3 and 4 are also supplementary and sum up to 180 degrees
Angles 5 and 6 are also supplementary.
Then, if angle 3 = 123 , we have;
angle 3 + angles 4 = 180
123 + angle 4 = 180
Angle 4 = 180 - 123
Angle 4 = 57°
Thus, the value of angle 4 is 57°
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A die is rolled. Find the probability of rolling a number greater than 4 .
F. 0.17
G. 0.33
H. 0.5
J. 0.67
The probability of getting a number that is greater than four is G. 0.33
Probability:
Probability defines the possible occurrence of the selected event across the total number of events.
Given,
A die is rolled.
And we need to find the probability of rolling a number greater than 4.
If you roll a single die there are 6 possible outcomes are
=> {1,2,3,4,5,6}
So, the numbers that are greater than 4 are,
=> 5 and 6.
So, there are 2 of which are greater than 4.
So in a single roll the probability of getting a number greater than 4 is
=> 2/6
=> 1/3.
For the decimal form it can be written as,
=> 0.33.
So, the correct option is G. 0.33.
Therefore, the probability of getting the number greater than 4 is 0.33.
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Simplify each complex fraction. 1 + 2/x / 2 + 3 / 2x
The Simplified value of the complex fraction 1 + 2/x / 2 + 3 / 2x is (4x+7)/(4x+3) .
A complex fraction is defined as an expression that has fraction in it's numerator and a fraction in its denominator.
For Example : [tex]\frac{\frac{2}{3} }{\frac{5}{7} }[/tex] is an example of complex fraction.
The given question is
=1 + 2/x / 2 + 3 / 2x
[tex]=1+\frac{\frac{2}{x} }{2+\frac{3}{2x} }[/tex]
Taking LCM in the denominator and solving further,
[tex]=1+\frac{\frac{2}{x} }{\frac{4x+3}{2x} }[/tex]
[tex]=1+\frac{2}{x} *\frac{2x}{4x+3}[/tex]
Cancelling out "x" from both numerator and denominator
we get,
=1+(2*2)/(4x+3)
=1+(4)/(4x+3)
Taking LCM as 4x+3 and solving further we get,
=(4x+3+4)/(4x+3)
=(4x+7)/(4x+3)
Therefore , the simplified value of the expression 1 + 2/x / 2 + 3 / 2x is (4x+7)/(4x+3).
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Given p(x)=−3(x−4)2+14, what is the value of p(2)?
Answer:26
Step-by-step explanation:
-3(2-4)2+14= -3*-2*2+14=12+14=26
Write an equation of a parabola with vertex at the origin and the given focus.
focus at (6,0)
The equation of the parabola that has vertex at the center and focus at the point (6,0) is x = y²/24
We define what a parabola is
What is a parabola?The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.
The canonical equation of a parabola is given by
(y - k)² = 4p(x - h)
The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.
Since the vertex and the focal axis are on the same axis, we analyze that:
v (0, 0)
f (6, 0) the focus is on the right so the parabola is of the form X = Y².
(y - 0)² = 4p(x - 0)
f = (0 + p, 0)
0 + p = 6
p = 0 + 6
p= 6
(y - 0)² = 4*6(x - 0)
(Y)² = 24(X)
x = y²/24
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a is directly proportional to square of c.
w is inversely proportional to a³.
When c = 49, a = 35
When a = 2, w = 16.
Find the value of w when c = 4.
In the given question the value of w is 0.128.
What do we mean by directly proportional?When two quantities are directly proportional, it means that if one increases by a certain percentage, the other increases by the same percentage. For example, as the cost of gasoline rises, so do food prices.So, w when c = 4:
a∝√ca = k√c35 = k×7k = 5a = 5√cNow,
w ∝ 1/k³w = k/a³16 = k/8k = 128w = 128/a³Then,
c = 4a = 5×√4 = 10a = 10w = 128/10³w = 0.128Therefore, in the given question the value of w is 0.128.
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3^4×2^3×3^7×2^2÷2^2×3^2×2^5×3^6
Answer:
the answer is
[tex] \frac{27}{4} [/tex]
Determine whether each sequence is arithmetic. If so, identify the common difference. 1,3,9,27, . . . .
The given sequence is not arithmetic as the difference of each consequent term with the previous term is not the same.
What is arithmetic progression?A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.Given: 1, 3, 9, 27, ...
Here, 3 - 1 ≠ 9 - 3 ≠ 27 - 9
Since the sequence does not follow the definition of an arithmetic progression, it is not one.
Hence, The given sequence is not arithmetic as the difference of each consequent term with the previous term is not the same.
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To determine the number of trout in a lake , a conservationist catches 171 trout,tags them and throws them back into the lake. Later 52 trout are caught; 13 of them are tagged. how many trout would the conservationist expect to be in the lake?
We can expect there to be 684 trout in the lake.
In the given statement is:
To determine the number of trout in a lake, a conservationist catches 171 trout, tags them and throws them back into the lake. Later 52 trout are caught; 13 of them are tagged.
Proportion:
A ratio gives us the measure of one quantity as compared to another quantity, and it is represented either as a fraction, decimal or a notation like a : b. When the same ratio is applicable to other quantities.
Now, According to the question:
Number of trout / number of trout = number of trout caught / caught that were tagged
Number of trout / 171 = 52/13
Number of trout = (171 x 52) / 13
Number of trout = 8,892 / 13 = 684
Hence, We can expect there to be 684 trout in the lake.
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