what is the mean? if the answer is a decimal, round to the nearest tenth
96. 94. 95. 89. 79
What is the area of rhombus ABCD?
Do not round at any steps
People enjoyed attending the concert in the park. Twice as many men as women attended the concert. If the total attendance was 714, how many women attended the concert?
solve for x...........
*NEED HELP!!!
Trystan accepted a job offer with an annual salary of $33,907, paid on a semimonthly basis. What will be his gross pay on each of his paychecks?
A) $652.06
B) $1304.12
C) $1412.79
D) $2825.58
6) Which salary results is the LEAST ANNUAL income?
A) weekly salary of $781
B) biweekly salary of $1430
C) semimonthly salary of $1550
D) monthly salary of $2995
7) Yusef earned a 25% tip on a meal that cost $75.77. What was the tip amount?
A) $9.42
B) $18.94
C) $15.68
D) $18.23
8)Larry earns $11.25/hour selling televisions. He also earns 4.5% commission on his sales.
What is his gross weekly pay for a week in which he worked 35 hours and sold $4000 worth of televisions?
A) $180.00
B) $393.75
C) $573.75
D) $628.45
9) Brea worked 40 hours one week at a rate of $15.60/h. How much money was deducted from her gr
Answer:
C) $1412.79; D) monthly salary of $2995; B) $18.94; C) $573.75
Step-by-step explanation:
Getting paid semimonthly means there will be two paychecks a month. There are 12 months in the year, so this is 24 checks per year. To find the gross pay on each check, divide the salary by 24:
33907/24 = 1412.79
There are 52 weeks per year. This means a weekly salary of 781 would be an annual income of 781(52) = 40,612.
A biweekly salary means getting paid every two weeks. This means there will be 52/2 = 26 paychecks per year; this gives an annual income of 26(1430) = 37,180.
Semimonthly pay means there will be 24 paychecks per year; this gives us an annual income of 24(1550) = 37,200
There are 12 months in the year; this gives us an annual salary of 12(2995) = 35,940. This is the smallest amount in our given choices.
25% = 25/100 = 0.25; this makes the tip 0.25(75.77) = 18.9425 ≈ 18.94.
11.25 per hour for 35 hours is 11.25(35) = 393.75. 4.5% commission is 4.5/100(4000) = 0.045(4000) = 180. Together this gives us
393.75+180 = 573.75
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $80 plus $5 per student. The Dino Discovery Museum simply charges $7 per student. For how many students will the Science Center charge less than the Dino Discovery Museum charges?
fewer than 40 students
78 or fewer students
78 or more students
more than 40 students
HELP!!
Answer: More than 40 students
Step-by-step explanation:
Let x be the number of students .
Given : Mrs. Williams is deciding between two field trips for her class. The Science Center charges $80 plus $5 per student.
i.e. Total cost : [tex]80+5x[/tex] (1)
The Dino Discovery Museum simply charges $7 per student.
i.e. Total cost : [tex]7x[/tex] (2)
The inequality that shows Science Center charge less than the Dino Discovery Museum charges will be :-
[tex]80+5x<7x[/tex]
Subtract 5x on both sides , we get
[tex]80<2x[/tex]
Divide both sides by 2 , we get
[tex]40<x[/tex]
Hence, for more than 40 students the Science Center charge will less than the Dino Discovery Museum charges.
What are not irrational out of square root of 15,16,17, and 18?
Which of the following describes the location of the opposite of the number that R represents on this line?
Which pair of equations represents perpendicular lines?
a. y=2x-7, y=-0.5x-7
b. y=2x+7, y=2x-7
c. y=2x+7, y=x+7
d. y=2x+7, y=-2x-2
the answer would be A because if you graph those equations they are perpindicular. They cross eachother like a t
What is the sum of the infinite geometric series? -3-3/2-3/4-3/8-3/16
Answer: -6.
Step-by-step explanation: Given geometric series is-
[tex]-3,~-\dfrac{3}{2}, ~-\dfrac{3}{4}, ~-\dfrac{3}{8},~-\dfrac{3}{16},...[/tex]
Here, the first term of the series, [tex]a=-3[/tex]
and the common ratio, [tex]r=\dfrac{1}{2}.[/tex]
Since it is an infinite series, so sum is given by
[tex]S=\dfrac{a}{1-r}\\\\\\\Rightarrow S=\dfrac{-3}{1-\frac{1}{2}}\\\\\\\Rightarrow S=\dfrac{-6}{2-1}\\\\\\\Rightarrow S=-6.[/tex]
Thus, the sum of the series is -6.
which of the following are necessary when proving the opposite angles of a parallelogram are congruent? Check all that apply.
A) Opposite sides are perpendicular
B) Corresponding parts of similar triangles are similar
C) Opposite sides are congruent
D) Corresponding parts of congruent triangles are congruent
The opposite angles of a parallelogram are congruent this can be proved by the fact that;
Opposite sides are congruent Corresponding parts of congruent triangles are congruentTo prove opposite angles in a parallelogram are congruent, it's necessary to recognize that opposite sides are congruent and use the property that corresponding parts of congruent triangles are congruent.
Explanation:To prove that the opposite angles of a parallelogram are congruent, it's not necessary that opposite sides be perpendicular. Instead, let's consider the properties that are relevant to this proof:
Opposite sides are congruent (C)Corresponding parts of congruent triangles are congruent (D)In this case:
Option A is not relevant because a parallelogram does not require opposite sides to be perpendicular; that is a characteristic of a rectangle.Option B refers to similar triangles, which is not necessary for proving the opposite angles are congruent in parallelograms. Similar triangles have proportional sides and identical angles, which is not the focus here.Option C is a defining property of parallelograms and is necessary to help prove that opposite angles are congruent.Option D can be used in the proof if one demonstrates that two triangles within the parallelogram are congruent, therefore their corresponding angles must be congruent; this includes the opposite angles of the parallelogram.The proper proof would rely on establishing congruent triangles within the parallelogram and then using the property that corresponding parts of congruent triangles are congruent to show that the opposite angles are congruent.
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Julia knows 19 Latin words. Each day, she learns 6 new words, How many day until she knows 145 words.
ANSWER CHOICES
A:20
B:21
C:22
D:23
145 -19 = 126
she needs to learn 126 more words
divide 126 by 6 to find number of days
126 / 6 = 21
it will take 21 days, Answer is B
I will mark the correct answer as brainliest! A piece of fabric 180 inches long is cut in 2 pieces such that 3 times the larger piece is greater than 4 times the smaller piece. How large are the 2 pieces. Also please give details if possible
The length of the larger piece lies in the interval [102.85 , 180) and the length of the smaller piece lies in the interval [0 , 77.15]
What is an interval?In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between.
Given here, that 3 times the larger piece is greater than 4 times the smaller piece. let the length of the larger piece be x and length of the smaller piece be 180-x, then we get the following inequality-
3x > 4(180-x)
3x>720-4x
7x>720
x>102.85
therefore 102.85≤ x <180
Hence, the larger piece lies in the interval [102.85 , 180) and the length of the smaller piece lies in the interval [0 , 77.15]
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An equation is shown
Y=1/2x+3/4
Select all the points that are contained in the graph of the equation
Suppose you have 30 CDs. You know that you have 11 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has. Question 3 options: n – 11 = 30; 41 30 + n = 11; –19 30 + 11 = n; 41 n + 11 = 30; 19
Answer:
n+11=30
n = 19
Step-by-step explanation:
You have 30 CDs and you friend had n amount of CDs. We also know that you have 11 more CDs than your friends. Therefore we can write expression as:
[tex]n+11=30[/tex] and simplify
[tex]n =30 -11[/tex]
[tex]n=19[/tex]
Therefore you friend will have 11 CDs which is 11 less than what you have.
(-6 -2) (6 r) m=1/4 can you help me solve this equation.
Marcial found a recipe for fruit salad that he wanted to try to make for his birthday party. He decided to triple the recipe. a. What are the new amounts for the oranges, apples, blueberries, and peaches? The amount of rhubarb in the original
recipe is 3 1/2 cups. Using what you know of whole numbers and what you know of fractions, explain how you could triple that mixed number.
The temperature at 5:00 a.m. was –6 °F. By 3:00 p.m., the temperature had risen to a high of 36 °F. If the temperature at 8:00 p.m. decreased from the high by of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.?
EDMENTUM QUESTION:
Kayla set up an outdoor digital thermometer to record the temperature overnight as part of her science fair project. She began recording the temperature, in degrees Fahrenheit, at 10:00 p.m. Kayla modeled the overnight temperature with function t, where h represents the number of hours since 10:00 p.m. t(h) = 0.5h2 − 5h + 27.5
Answer: 15°F at 3:00 a.m.
Step-by-step explanation:
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ?
Enter your answer in the box. Do not round any side lengths.
Solve the equation for y
-x+y=0
A painter is working on a canvas that has a total area of 338 square inches. The canvas is x inches wide and twice as long as it is wide. Find the value of x.
A) 13
B) 18.4
C) 112.7
D) 69
Answer:
C
Step-by-step explanation:
Area = 338
Width = X
Length = 2x
2x * x = 338
3x = 338
x = 112.7
The value of x from the rectangular shaped canvas box is x = 13 inches
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of rectangle canvas be A = 338 inches²
Let the width of the canvas = x inches
And , length = 2 x ( width )
Now , the length of the canvas = 2x inches
So , Area of Rectangle = Length x Width
On simplifying , we get
Area of Rectangle = 2x ( x )
Area of Rectangle = 2x²
338 = 2x²
Divide by 2 on both sides , we get
x² = 169
Taking square roots on both sides , we get
x = 13 inches
Hence , the value of x of the canvas is 13 inches
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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Ivan has 6 times as many blue beads as red beads. He has 4 red and blue beads in all. How many blue beads does Ivan have?
Almonds cost $15.50 for 6 pounds. Find the unit rate. Round to the nearest cent if necessary.
The unit rate for almonds is approximately $2.58 per pound.
To find the unit rate, we divide the total cost by the total quantity.
In this case, the total cost is $15.50 and the total quantity is 6 pounds.
So, the unit rate is:
[tex]\[ \text{Unit rate} = \frac{\text{Total cost}}{\text{Total quantity}} \][/tex]
[tex]\[ \text{Unit rate} = \frac{15.50}{6} \][/tex]
[tex]\[ \text{Unit rate} \approx \$2.58 \][/tex]
Rounding to the nearest cent, the unit rate is approximately $2.58 per pound.
B is between A and C, D is between B And C, and C is between B and E. AE = 28cm, BC =10cm. AB = DB = DC. what is the length of CE ?
Final answer:
By using the given lengths of AE and BC, along with the equality of AB, DB, and DC, we can solve for CE to be 14.67cm.
Explanation:
The lengths of AE, BC, AB, DB, and DC are given or can be determined with the information provided. Since AB = DB = DC and BC is given as 10 cm, we can deduce that AB + BC + CE = AE. Given AE is 28cm and BC is 10cm, we can find the length of AB by realizing that AB + AB + AB (which is AB + DB + DC) is the same as BC or 10cm. This makes each section AB, DB, and DC equal to 10cm / 3.
With AB, DB, and DC all being equal to 10cm / 3, and knowing AE is 28cm, we can then calculate the length of CE:
AE = AB + BE (and BE = BC + CE)
28cm = (10cm/3) + (10cm + CE)
To find CE, rearrange the equation:
CE = 28cm - 10cm - (10cm/3)
CE = 28cm - 10cm - 3.33cm
CE = 18cm - 3.33cm
CE = 14.67cm
To solve for the length of CE in a line segment configuration, we calculate CE = AE - BC - DC after determining the lengths of AB, BC, and DC. The solution reveals that CE is 9cm.
Explanation:The student has a geometry problem, which involves calculating the length of segment CE on a line segment AE. We know that AE = 28cm and BC = 10cm, with AB, DB, and DC being equal in lengths.
Since B is between A and C, and D is between B and C, and C is between B and E, we can write the entire length AE as AB + BC + CE. Because AB = DB = DC, we can substitute DB and DC for AB in the sums to get 2(DB) + BC = 28cm.
We are given that BC = 10cm, so we can set up an equation: 2(DB) + 10cm = 28cm. Solving for DB, we find that DB = 9cm. Since DC is equal to DB, DC is also 9cm. CE can be found by subtracting BC and DC from the total length of AE: CE = AE - BC - DC, so CE = 28cm - 10cm - 9cm, resulting in CE = 9cm.
A triangle has angles that measure 120°, 39°, and 21°. what kind of triangle is it?
A triangle with angles that measure 120°, 39°, and 21° is an obtuse triangle.
The student has asked about the classification of a triangle with angles that measure 120°, 39°, and 21°. Based on Euclidean geometry, the sum of the angles in any plane triangle is 180°. A triangle with one angle that measures more than 90° is an obtuse triangle, as it has one obtuse angle. Therefore, this triangle, with a 120° angle, is classified as an obtuse triangle.
Hank's pickup can travel 39 miles on 3 gallons of gas. How many gallons will Hank's pickup need to travel 26 miles?
If a=2b, then a-c=2b-c
What is the equation for the line of reflection that maps the trapezoid onto itself?
A. x= -2
B. x=0
C. y=2.5
D. y=4
Please help
solve 4x-9=k for x
Answer:
The value of x is [tex]\frac{k+9}{4}[/tex]
Step-by-step explanation:
Given : equation 4x - 9 = k
We have to find the value of x.
Consider the given equation 4x - 9 = k
Adding 9 both sides, we have,
4x = k + 9
Divide both side by 4, we have,
[tex]x=\frac{k+9}{4}[/tex]
Thus, The value of x is [tex]\frac{k+9}{4}[/tex]