Answer:
The final price is $34.83
Step-by-step explanation:
we know that
1) The original price is $64.50
2) Is now on sale for 1/10 off
so
the new price is
$64.50(1-0.10)=$58.05
3) Get an additional 40%
$58.05(1-0.40)=$34.83
Common factors of 16a and 20ab.
Answer:
[tex]\large\boxed{Common\ factors:\ 1,\ 2,\ 4,\ a,\ 2a,\ 4a}[/tex]
Step-by-step explanation:
[tex]16a=2\cdot2\cdot2\cdot2\cdot a\\Factors:\boxed1,\ \boxed2,\ \boxed4,\ 8,\ 16,\ \boxed{a},\ \boxed{2a},\ \boxed{4a},\ 8a,\ 16a\\\\20ab=2\cdot2\cdot5\cdot a\cdot b\\Factors:\boxed1,\ \boxed2,\ \boxed4,\ 5,\ 10,\ 20,\ \boxed{a},\ \boxed{2a},\ \boxed{4a},\ 5a,\ 10a,\ 20a,\\b,\ 2b,\ 4b,\ 5b,\ 10b,\ 20b,\ 2ab,\ 4ab,\ 5ab,\ 10ab,\ 20ab\\\\Common\ factors:\ 1,\ 2,\ 4,\ a,\ 2a,\ 4a[/tex]
Answer:
2, 4, and a
Step-by-step explanation:
Factors of 16a: 2, 4, 8, 16, a
Factors of 20ab: 2, 4, 5, 10, 20, a, b
The common factors of 16a and 20ab are 2, 4, and a.
(Area formula I used is the image I provided)
Determine the area of each of the following polygons using the area formula you created in part d.
Polygon Area
regular pentagon with apothem of approximately 9 inches and side length of 13 inches
regular octagon with apothem of approximately 5 centimeters and side length of 4 centimeters
regular hexagon with apothem of approximately 6 feet and side length of 7 feet
Answer:
1. The area of regular pentagon = 292.5 inches²
2. The area of the regular octagon = 80 cm²
3. The area of the regular hexagon = 126 feet²
Step-by-step explanation:
∵ The area of any regular polygon = 1/2 × perimeter × apothem
1. Regular pentagon
∵ Regular pentagon has 5 equal sides
∵ The perimeter of the regular pentagon = 5 × side length
∵ S = 13 inches
∴ P = 13 × 5 = 65 inches
∵ apothem = 9 inches
∴ A = 1/2 × 65 × 9 = 292.5 inches²
2. Regular octagon
∵ Regular octagon has 8 equal sides
∵ The perimeter of the regular octagon = 8 × side length
∵ S = 4 cm
∴ P = 4 × 8 = 32 cm
∵ apothem = 5 cm
∴ A = 1/2 × 32 × 5 = 80 cm²
3. Regular hexagon
∵ Regular hexagon has 6 equal sides
∵ The perimeter of the regular hexagon = 6 × side length
∵ S = 7 feet
∴ P = 7 × 6 = 42 feet
∵ apothem = 6 feet
∴ A = 1/2 × 42 × 6 = 126 feet²
The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The results of the survey are shown.
• 12 students want a beef meal
• 8 students want a chicken meal
• 5 students want a pasta meal
Based on the survey results, which of these is the best prediction of the meals wanted by the 200 students?
A] there are 16 students who want a beef meal
B] there are 52 students who want either chicken meal or pasta meal
C] there are 32 more students who want a beef meal more than want a chicken meal
D] there are 24 more students who want a pasta meal than want a chicken meal
PLEASE HELP!!! AND SHOW WORK!!!
Step-by-step explanation:
Beef = 12 * 8 (cause 25 * 8 = 200)
Beef = 96
Chicken = 8 * 8 (cause 25 * 8 = 200)
Chicken = 64
Pasta = 5 * 8 (cause 25 * 8 = 200)
Pasta = 40
Answer- C] There are 32 more students who want beef meal more than want a chicken meal
The best prediction of the meals wanted by the 200 students can be determined based on the proportions from the random survey. Option A, which states that there are 16 students who want a beef meal, is the best prediction.
Explanation:The best prediction of the meals wanted by the 200 students can be determined by considering the proportions from the random survey.
The number of students who want a beef meal can be estimated by finding the proportion of students who want a beef meal in the survey and multiplying it by the total number of students. In this case, the proportion is 12/25 and the estimated number of students who want a beef meal is (12/25) * 200 = 96 students.The number of students who want either a chicken meal or a pasta meal can be estimated by adding the number of students who want a chicken meal and the number of students who want a pasta meal in the survey. In this case, the estimated number of students who want either a chicken meal or a pasta meal is 8 + 5 = 13 students.The difference in the number of students who want a beef meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a beef meal in the survey. In this case, the estimated difference is 12 - 8 = 4 students.The difference in the number of students who want a pasta meal and the number of students who want a chicken meal can be estimated by subtracting the number of students who want a chicken meal from the number of students who want a pasta meal in the survey. In this case, the estimated difference is 5 - 8 = -3 students.Based on the survey results, the best prediction of the meals wanted by the 200 students is
96 students who want a beef meal
as mentioned in option A.
Two angles whose sum is 90 degrees are called _____
complementary angles are two angles whose sum is 90 degrees
Answer:
it is called a right angle
Step-by-step explanation:
A cone has a diameter of 23 inches and a height of 19.7 inches. Select all of the expressions that could be used to find the volume of the cone in cubic inches? Use 3.14
Answer:
2727
Step-by-step explanation:
The formula for finding the volume of a cone is
1/3πr²h
The radius would be 11.5 because, radius equals the diameter divided by two.
So, first you would plug your numbers into the equation
1/3(π)(11.5)²(19.7)
*use 3.14 for pi
Then multiply.
V = 2726.9 (2727 if you round to the nearest whole number)
Where’s The Expressions?
Using the table below, determine how much you will receive in dividends for the year from Google given that you currently hold 25 shares.
A. $87.17
B. $380.00
C. $157.00
D. $143.00
For google to 25 shares google will have to buy 25 shares $143.00
Answer:
D. $143.00Step-by-step explanation:
The dividend refers to the percentage of a company's annual dividend compared to its share price.
In this case, according to the given table, we have a dividend of 5.72, which means that's the factor that tell us how much are we going to receive.
[tex]5.72 \times 25 = 143[/tex]
Therefore, we are gonna receive $143 due to the 25 shares with a dividend of 5.72.
So, the right answer is D.
Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?
A) ∠1 and ∠2 are adjacent.
B) m ∠2 = 180° – 120°
C) m ∠1 = 120° because ∠1 and the 120° angle are vertical angles.
D) m ∠1 = m ∠2
Answer:
no picture
Step-by-step explanation:
(D): m ∠1 = m ∠2
I got it correct, trust me.
Which equation models the line that passes through points (4, 6) and (−4, 8)
Answer:
y = - [tex]\frac{1}{4}[/tex] x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (- 4, 8)
m = [tex]\frac{8-6}{-4-4}[/tex] = [tex]\frac{2}{-8}[/tex] = - [tex]\frac{1}{4}[/tex], hence
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 4, 8 ), then
8 = 1 + c ⇒ c = 8 - 1 = 7
y = - [tex]\frac{1}{4}[/tex] x + 7 ← equation of line
which solid figure has five faces, five vertices, and eight edges
1.triangular pyramid
2.rectangular pyramid
3.pentagonal pyramid
4.triangular prism
which of the following solid figures has the least number of vertices
1.triangular pyramid
2.hexagonal pyramid
3.cone
4.triangular prism
how many faces the are on following solid figure
1.2
2.15
3.10
4.7
1) Triangular pyramid
2) A cone
3) I don't have the picture of the figure so I don't know
Answer: this is the first ones answer is D.
The second answer will be C.
There are 1 1/2 pizzas left.One-third of pizza left is plain cheese.How much cheese pizza is left?
Answer:
About four of the pizzas are plain cheese, 3.83 pizzas to be exact.
Step-by-step explanation:
1/3 of 11.5 is 3.83
A person can read 48 pages in 5/4 of an hour. How many pages can they read in one hour
Answer:
38.4 pages
Step-by-step explanation:
5/4 = 1.25
Rate = pages / Time
Time = 1.25 hours
Pages = 48
Rate = 48/1.25
Rate = 38.4
can u guys help me on this one? please and ty!
Answer:
The radius = 3 cm.
Step-by-step explanation:
Circumference = 2* pi * radius
So 18.84 = 2* 3.14 * r
r = 18.84 / 6.28
= 3 cm.
A construction worker is building a wall. The wall is
20
yd
long. He needs to place a stud every
16
in
. The first stud has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall? First fill in the blanks on the left side using the ratios shown.
I believe it is 45 studs to the end of the wall
Answer:
Step-by-step explanation:
First, convert 20 yds to 60 ft. and then from 60 ft to 720 in.
Use the formula for the nth term of an arithmetic sequence:
l = a + (n-1)d:
Here l = 720 ft, and a = 0. The common difference, d, is 16 in. Our task is to determine how many studs are needed.
Substituting the knowns, we get 720 = 0 + (n - 1)(16), which simplifies to:
720 = (n-1)(16).
Divide both sides by 16 to isolate (n-1): 45 = n - 1.
Adding 1 to both sides results in 46 = n.
46 studs total are needed; if the worker has already placed the first stud, then 45 additional studs are needed.
Solve the equation.
4p + 25 = 6(p – 3) – 3(4 – 3p)
Answer:
p = 5
Step-by-step explanation:
first you need to distibute into the parenthesis's -
4p + 25 = 6(p-3) -3(4-3p)
4p +25 = 6p -18 - 12 + 9p
4p + 25 = 15p - 30
-4p -4p
25 = 11p - 30
+30 +30
55 = 11p
/11 /11
5 = p
hope this helps!!
4p+25=6(p-3)-3(4-3p)=5
A flashlight is projecting onto a wall, as shown below
Answer:
n = 30
Step-by-step explanation:
The triangles share the same angle measures, so they are similar triangles. The side lengths of similar triangles are proportional to each other, so we can set up a proportion and solve for n...
16 is to 20 as 24 is to n
16/20 = 24/n now solve for n by cross multiplying
16n = 480
n = 30 (divide both sides by 16)
We are given that the original triangle and its projection are similar. This means that the corresponding angles of the two triangles are congruent, and the ratios of their side lengths are equal.
We are also given the lengths of two sides of the original triangle: 16 cm for the base and 20 cm for the hypotenuse. We are asked to find the missing length on the projection, which corresponds to the base of the original triangle.
To solve this problem, we can set up a proportion based on the similar triangles. Let x be the missing length on the projection:
(base of original triangle) / (base of projection) = (hypotenuse of original triangle) / (hypotenuse of projection)
Substituting the known values:
16 cm / x = 20 cm / 24 cmCross-multiplying:
16 cm * 24 cm = x * 20 cm384 [tex]cm^2[/tex] = 20x [tex]cm^2[/tex]x = 384 [tex]cm^2[/tex] / 20 [tex]cm^2[/tex]x = 19.2 cmTherefore, the missing length on the projection is 19.2 cm. However, the answer choices are all rounded to one decimal place.
Rounding 19.2 cm to one decimal place gives us 19.0 cm. Therefore, none of the provided options are correct.
The question probable maybe:
A flashlight is projecting onto a wall, as shown below
The original triangle and its projection are similar. What is the missing length on the projection?
a. 12.6
b. 17.9
c. 35
d. 31
What is the sum of the geometric series ?
Replace t with 1 through 4 and solve then add them together:
6^(1-1) = 6^0 = 1
6^(2-1) = 6^1 = 6
6^(3-1) = 6^2 = 36
6^(4-1) = 6^3 = 216
Sum = 1 + 6 + 36 +216 = 259
Answer: The required sum is 259.
Step-by-step explanation: We are given to find the sum of the following geometric series :
[tex]\sum_{i=1}^{4}6^{i-1}.[/tex]
The given geometric series can be written as :
[tex]0+6+6^2+6^3.[/tex]
We know that
the sum of a geometric series up to n terms with first term a and common ration r is given by
[tex]S=\dfrac{a(r^n-1)}{r-1}.[/tex]
in the given series, we have
[tex]a=1,~~r=\dfrac{6}{1}=\dfrac{6^2}{6}=\dfrac{6^3}{6^2}=6.[/tex]
Therefore, the sum up to 4 terms will be
[tex]S_4=\dfrac{a(r^4-1)}{r-1}=\dfrac{1(6^4-1)}{6-1}=\dfrac{1296-1}{5}=\dfrac{1295}{5}=259.[/tex]
Thus, the required sum is 259.
What multiplication expression means the same as 2^-4
Answer: 0.0625*1
Step-by-step explanation:
2^-4 = 0.0625
Answer = 0.0625
what does 5- 4 1/2. please help
Answer:
1/2
Step-by-step explanation:
5 - 4 1/2 equals 1/2
Answer:1/2
Step-by-step explanation:
5 - 4 1/2
=5- 9/2
=(10 - 9)/2
=1/2
Find the lowest value of the data this box -and-whisker ploy represents 12,1315,16
Answer:
12
Step-by-step explanation:
The lowest value is indicated by the dot at the end of the left whisker
That is the lowest value = 12
The lowest value in a box-and-whisker plot is the minimum of the dataset. For the given data set, the lowest value, which is the minimum, is 10.
Explanation:The student is asking us to find the lowest value represented in a box-and-whisker plot. A box-and-whisker plot is a graphical representation of a five-number summary of a dataset: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and the maximum. The lowest value in a box-and-whisker plot is the minimum of the dataset.
To graph a box-and-whisker plot for the given data values, you would first need to arrange the data in ascending order. Then, find the minimum, Q1, median, Q3, and the maximum. The smallest number, which is placed at the leftmost part of the plot, is the minimum, also known as the lowest value of the dataset. For the data set provided (10, 10, 10, 15, 35, 75, 90, 95, 100, 175, 420, 490, 515, 515, 790), the lowest value is 10.
Which of the following statements is true?
A. Pi = 22/7
B. Pi = 355/13
C. Pi is the ratio of a circles circumference to its diameter
D. Pi is the ratio to a circle diameter to its circumference
E. Pi is a terminating recurring decimal
A. Pi= 22/7 =3.1415....
C. Pi is the ratio to a circles circumference to its diameter
You want to buy a video game that costs $129.96. Estimate the total cost if the sales tax rate is 7%.
I think it’s 9.10 but I’m not really sure
Which equation can be used to find what percent 14 is of 125?
A..
125 = 14p
b.
14 = 125p
c.
14p = 125p
d.
125(14) = p
Answer:
B
Step-by-step explanation:
This is how I am confirming the answer:
14/125 = 0.112
125(0.112) = 14
Answer:
B. 125P=14 is the Answer
Step-by-step explanation:
1) When it says what percent 14 is of 125( what percent of 125 gives you 14)
Algebraically It's like this
125p=14
2) just solve for p
P=14/125 ( 125 is divided on both sides)
P= 0.112
3) plug in 0.112 for P
125 x 0.112 = 14
Hopes this helps you !
Petra is raking leaves in her backyard. Petra’s backyard is rectangular and has an area of 476 square feet. One side of the backyard is 28 ft. How long is the other side?
20) Use the distributive property to factor the expression. 10xz − 20yz
A) z(10x − 20y)
B) 10(xz − 2yz)
C) 10z(x − 2y)
D) xyz(10 − 20)
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
An office has an area of 120 meters squared and it is 12 meters wide. Write an equation to represent the area.
The figure is made up of 2 hemisphere and a cylinder what is the exact volume?
Answer: D. 648*π in^3
Step-by-step explanation:
The formula for the volume of a cylinder is
[tex]V=\pi *r^2*h[/tex]
V=1130.973355 in^3
or simply
V=1130.97 in^3
or
V=360*π in^3
Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.
Next, the formula for the volume of a sphere is
[tex]V=\frac{4}{3} \pi *r^3[/tex]
since you have two hemispheres, its the same thing as solving for one sphere because two halves make a whole. So, the volume of the sphere is
V= 904.7786842 in^3
or simply
V= 904.78 in^3
or
V=288 *π in^3
Finally, you add both of the volumes together to get
V= 2035.75204 in^3
or simply
V= 2035.75 in^3
or
V= 648*π in^3
I WILL AWARD BRAINLIEST!! PLEASE HELP!!!
Find the areas of the trapezoids.
Answer:
A = 12 units ^2
Step-by-step explanation:
The area of the trapezoid is found by
A = 1/2 (b1+b2)h
b1 = 2
b2 = 4
h = 4
I found these by looking at the graph
A = 1/2(2+4) 4
A = 1/2(6*4)
A = 12 units ^2
A principal conducts a study to find the average age of all math teachers in a given high school by recording all their ages. What type of study is this?
Answer: using edg.?
keep it simple.
Answer is Census.
Step-by-step explanation:
Answer:
Question 1 is: Experiment
Question 2 is: Census
Step-by-step explanation:
trust me
Which table shows a proportional relationship between X and y
Answer:
B
Step-by-step explanation:
all of the numbers times three equals the number across from it.
Hope this helps!
Michelle took a survey of the students in her grade to see how many are likely to join a book club if she starts one. She surveyed 48 students and 10 said they would join. If there are 240 students in her grade, about how many students could Michelle expect to join the book club?
Answer: 50
Step-by-step explanation: First of all, you need to establish your rate of acceptance. This would be 10 out of 48 or 10/48. Next, you need to simplify this to 5/24. Okay now this is epic. Now you need to convert 5/24 to x/240. Simple. Just multiply both sides by ten in 5/24 and you get your answer of 50. Very cool.
Final answer:
Michelle can expect approximately 50 students to join her book club based on the proportion of surveyed students who expressed interest.
Explanation:
Michelle surveyed 48 students, and 10 said they would join the book club. To estimate how many out of the total 240 students might join, we use proportions. The first step is to set up a proportion with the numbers Michelle has provided and then solve for the unknown:
Number of students surveyed who would join / Total students surveyed = Expected number who would join / Total students in grade
10 / 48 = x / 240
To find x, multiply both sides by 240:
240 * (10 / 48) = x
Then solve for x:
x = 50
Thus, Michelle could expect about 50 students to join the book club.