A school is having a pizza party. Each pizza is cut into 12 slices. Which explains whether it is better to estimate a greater or lesser number than the actual number of people that will eat pizza?
Answers
The best option would be to estimate a greater amount than actual bumber because if you underestimate there will be unhappy people. If you have 5 remaining slicea, everybody is still satisfied you'll just have extra.
Related Questions
if a1 =2 and an= -2an-1 then find the value of a4
Answers
9. A group of 100 students were surveyed about their interest in a new International Studies program. The survey asked students about their interest in the program in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with medium interest? A. 30% B. 50% C. 20% D. Cannot be determined.
Answers
Answer:
C.
Step-by-step explanation:
Because if you add up all the numbers it's 20 out of 100
ILL GIVE BRAINLIEST IF ITS RIGHT
Answers
Answer:
7) C) 7
8) D) y=-2x+3
Step-by-step explanation:
7) 3x-1/9(27)=18
3x-3=18
3x=21
x=7
8) y=-2x+3
Rhea obtained a CO-OP credit working at a computer store. They have now hired her for a summer job with the store. She makes $8/hour, plus a 5% commission on sales. Which expression best describes Rhea's total earnings? Explain. a) E = 8h + 5s b) E = 8h + .50s c) E = 8h + .005s d) E = 8h + 0.05s Rhea worked 15 hours last week and made $260 in total. What were her total sales in computers for the week? Why do you think employers offer commissions to their employees? Do you think there are any potential problems with this form of earnings?
Answers
Answer:
d) E = 8h + 0.05s
Total Sales = $2800.
Step-by-step explanation:
Let Rhea's hourly pay =h
If she makes $8 per hour, therefore total pay for h hours =$8h
Let the volume of sales = s
Since she earns 5% commission on sales = 5% of s = 0.05s
The sum of hourly pay and commissions is Rhea's total earnings, E.
We therefore have:
Total Earnings, E=8h+0.05s
Last week, Rhea worked 15 hours and made $260 in total.
h=15 weeks
E=$260
Substitution into the formula: E=8h+0.05s
260=8(15)+0.05s
0.05s=260-8(15)
0.05s=140
Divide both sides by 0.05
s=$2800
Therefore, her total computer sales for the week is $2800.
Commissions are a way to motivate employees to make sales rather than just passing time since their earning is dependent on their volume of sales.There will be a problem with this form of earning if the percentage of the sales commission is designed such that it takes a large chunk of the profit.
What else would need to be congruent to show that ABC= XYZ by ASA
Answers
The given info is that
angle A = angle Xangle C = angle Zas shown in the diagram below. The side between angle A and C is segment AC. Similarly, segment XZ is between angles X and Z. If we knew that AC = XZ, then we would have enough info to use the ASA (angle side angle) congruence theorem.
Answer:
angle C congruent to angle Z
Step-by-step explanation:
apex
PLEASE HELP ASAP!! (Please do this if ur good at Scientific Notation) please tell me which 4 should I put in the box! (Click picture) ‼️‼️
Answers
Answer:
1st one is 6.9 X 10^6
2nd one is 2 x 10^5
Step-by-step explanation:
You plan on retiring in 43 years. You expect the IRA to have an APR of 5.3%, compounded monthly. How much money will you have when you retire? Use $265.35 as the monthly amount.
Answers
Number of years is 43 years
rate per anum is 5.3%
Principal is $265.35
n is 12 month
t is 43 years
Using a compound interest formula
\(A=P(1+\frac{r}{100n})^{nt}\)\(A=265.35(1+\frac{5.3}{12\times100})^{12\times43}\)\(A=265.35(1+0.004417)^{516}\)\(\begin{gathered} A=265.35(1.004417)^{516} \\ =265.35\times9.71968511 \\ =2579.12 \end{gathered}\)Hence, I will have $2579.12 when I retire
y=-0.024x^2+0.0791x+4.873
Answers
The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol
The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.
The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.
The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.
The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.
The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.
To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.
Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.
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-b-
Note: Figure is not drawn to scale.
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
OA.
21 m
OB.
32 m
29 m
34 m
OC.
OD.
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Answers
After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.
The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted measurement regarding the distance around the outside of a two-dimensional shape. In this system the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m
Represent 2x + 3y = 6 by a graph. Write the coordinates of the point where it meets: (a) x-axis
Answers
The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.
To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Starting with the given equation, we isolate y to one side:
3y = -2x + 6
y = (-2/3)x + 2
Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).
To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.
Setting y = 0 in the equation, we have:
0 = (-2/3)x + 2
(-2/3)x = -2
x = (-2)(-3/2) = 3
Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.
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Find the volume of the cylinder
Answers
Answer:
7 x 7 x 17 =833
Step-by-step explanation:
833in^3
Please help me with 15 & 16. Step by Step!!!!
15. The length of a rectangle is four times its width. If its width is x^5 units, what is the area of the rectangle?
16. The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is the volume of the prism?
Answers
Answer:
15. 4x¹⁰
16. 30m³
Step-by-step explanation:
15. Area of Rectangle is given by A=LW
since W=x⁵ and L is 4 times W, L=4x⁵
therefore, A = x⁵(4x⁵) = 4x¹⁰
16. Volume of Rectangular Prism is V=LWH
W=6L=6m and H=5L=5m and L=m
so V = m(6m)(5m) = 30m³
what is a Pythagoras theorem
Answers
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
What is mathematical representation of Pythagoras theorem?From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;
C² = a²+b²
Where:
'C' represents the hypotenuse which is the longest part of the triangle and is always diagonal connecting the two other points.'a' represents the perpendicular length that forms the angle 90° of the right angle triangle.'b' represents the base of the triangle.Learn more about Pythagorean formula here:
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140,562 rounded to the nearest thousands
Answers
Answer:
It's 141,000
Step-by-step explanation:
because 4 or lower doesn't raise the rounding up it stay's the same if it is 4 or lower. But 5 or more raises it up so anything five or more you can round up. They taught me that in 4th grade but now i'm in 6th grade wich is so hard.
Nicks lunch cost $14.75 tax was 1.03 and he left a tip of 2.50 how much did he pay for his lunch
Answers
Answer:
$18.28
Step-by-step explanation:
To complete this problem is a straightforward answer:
First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!
Step by step solution. 9-1/2n=5+4n
Answers
Step-by-step explanation:
hope it's helps dear...
If average of 3a and 4b is less than 50 and a is tiwce b,what is largest possible integer value of a?
Answers
28 the answer is 28 because 3+4 =7 and 7x7 = 49 so 4x7 = 28
To which subset of the real number system does the number LaTeX: 1.\overline{5}1. 5 ¯ belong? Group of answer choices irrational numbers whole numbers natural numbers rational numbers
Answers
Answer:
rational numbers
Step-by-step explanation:
The area of a rectangle is 65 m2 and the length of the rectangle is 3 m less than twice the width. Find the dimensions
Answers
The dimensions of the rectangle are:
Length = 10 m
Width = 6.5 m
How to Find the Dimensions of a Rectangle?Recall that the area of aa rectangle is given as, length × width.
Given the following:
Area of the rectangle = 65 m²
Let the width of the rectangle be represented as w.
Length of the rectangle = 2w - 3 m
Therefore:
(2w - 3)(w) = 65
Expand:]
2w² - 3w = 65
2w² - 3w - 65 = 0
Factorize:
w = 6.5 or w = -5
The width cannot be negative, therefore, the width = 6.5 m.
Length of the rectangle = 2w - 3 = 2(6.5) - 3 = 10 m
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The ratio of girls to boys in a grade is 6 to 5. If there are 24 girls in the grade, how many students are there altogether?
Answers
Answer:
44
Step-by-step explanation:
24/4=6
5x4 = 20
20+24=44
Help plss
2. This is Josh’s solution for the equation :
Is Josh’s solution correct? Explain.
Answers
Answer:
x = 7
Step-by-step explanation:
in Josh solution, the steps are correct till
(x-3)² = 16. After this
√(x-3)² = √16
x-3 = 4
x = 4+3 = 7
No, Josh is incorrect the roots of the quadratic equation are 19 & -13.
What is a quadratic equation ?An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.
Given that,
The quadratic equation,
x² - 6x - 7 = 0
we can calculate the roots of the equation by using the formula:
x = -b + √(b² - 4ac) / 2a
In the given equation,
a = 1
b = -6
c = -7
x = -(-6) + √((-6)² - 4x1x(-7)) / 2
= (6 + 8)/ 2
x = 7, -1
Hence, Josh's solution is not correct.
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Please help
Which poly nominal has the zeros 1,-2i and 3
Answers
The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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What is the area of a sector with a central angle of 5pi over 6 radians and a radius of 5.6ft
Answers
Answer:
41.0501 ft²
Step-by-step explanation:
Area of a Sector (Radians): A = 1/2r²∅
We are given r and ∅, so simply plug it into the formula:
A = 1/2(5.6)²(5π/6)
A = 1/2(31.36)(5π/6)
A = 15.68(5π/6)
A = 41.0501 ft²
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
Answers
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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A car weighs 958kg when empty. The driver weighs 72kg and his passengers weighs 80kg .what is total mass give your answer. I.kilogram ii.1grams
Answers
Answer:
Step-by-step explanation:
i. kilograms 958+72+80=1110 ii.grams we know that 1 kg is 1000g so 1110kg= 1110x1000=1110000g
Every time Liliana bakes a batch of brownies, she uses 3/4 cup of chocolate. If she has 128 cup(s) of chocolate remaining, how many batches of brownies can Liliana make
Answers
Answer:
2
Step-by-step explanation:
12/8 is equal to 6/4.
6 divided by 3 is 2.
-8/9 + (-2)/57
find the absolute value of the following rational number
Answers
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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Solve for m∠PNM.
58
186
97
87
Answers
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answers
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
Daniel measures the growth of his tomato plant and records the results in the table.
What was the average rate of growth during this time period for his plant to thenearest tenth?
Answers
Answer:
1.2
Step-by-step explanation: it just is