Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
X+2=5-1/2 X
what is x?
Answer:
Step-by-step explanation:
[tex]X + 2= 5-\frac{1}{2}X\\\\[/tex]
Add (1/2)x to both the sides
[tex]X+2+\frac{1}{2}X=5-\frac{1}{2}X+\frac{1}{2}X\\\\x+\frac{1}{2}X+2=5\\\\[/tex]
Subtract 2 from both the sides
[tex]X+\frac{1}{2}X+2-2=5-2\\\\X+\frac{1}{2}X=3\\\\\frac{3}{2}X=3\\\\X=3*\frac{2}{3}\\\\X=1*2\\[/tex]
X= 2
Find the sum of 1
5
and 7
10
The expression written in equivalent form with common denominators is .
The sum is
Answer:
2/10 + 7/10
9/10
Step-by-step explanation:
I did the test.
Answer:
The expression written in equivalent form with common denominators is
✔ 2/10 + 7/10
The sum is
✔ 9/10
Step-by-step explanation:
Nadia has a box of quarters and dimes on her dresser. There are 5 times as many
quarters as dimes in the box. The total number of quarters and dimes is 96. How
many of each coin is in the box?
Answer:
480= 96x5
Step-by-step explanation:
multiply on a caluculater
Find the exact length of the third side.
4
2
Answer:
Step-by-step explanation:
4-2<x<4+2
2<x<6
x = 3, 4 or 5
i assume u r talking about triangle
The sum of the two shorter sides of a triangle must be equal to the longest side to be classified as a triangle
Answer:
False
Step-by-step explanation:
For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5
but when you add 3 and 4 they do not give you 5
so that is false
Two terms of an arithmetic sequence are $a_{12}=70$a12=70 and A sub 30 is equal to 124$a_{30}=124$a30=124 . Write an explicit rule for the n$n$n th term
Answer:
Tn = 34+3nStep-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;
[tex]Tn = a+(n-1)d[/tex]
a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
c
Step-by-step explanation:
Which of the following statements is equivalent to P(z < −2.1)? P(z > –2.1) 1–P(z < 2.1) P(z < 2.1) 1–P(z > 2.1)
Answer:
B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
What are the coordinates of point L?
Answer:
(1, -3)
Step-by-step explanation:
Start where the axes meet. That is the origin (0,)
Move 1 place to the right that is the x coordinate
Move 3 places down that is the y coordinate
(1,-3)
Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. she earns $13 per hour. her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for social security and 1.45 percent for medicare. she will receive 12 paychecks, one for each week she works. calculate angela’s weekly gross pay: calculate the amount taken out of angela’s check for federal income tax withholding: calculate the amount taken out of angela’s check for social security taxes: calculate the amount taken out of angela’s check for medicare taxes: calculate angela’s net paycheck using the calculations above: calculate angela’s total gross pay for all 12 weeks: calculate angela’s total net pay for all 12 weeks:
Answer:
Gross pay per week = $234
Federal income tax = $421.2
Social security = $174.96
Medicare =$40.71
net pay per week = $181
Total gross pay = $2,808
Total net pay = $2172
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate Angela gross income per week:
18 hours per week x $13 per hour = $234 per week (gross)
234 x 12 =2,808
Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)
Federal income tax = 234 x (15/100) = $35.1 (in 12 weeks = 35.1 x 12 = $421.2)
Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)
Medicare = 234 x (1.45/100)=$3.393 (in 12 weeks = 3.39x 12 = $40.71)
Total amount taken (per week)= 35.1+14.508+3.393=$53.001
Net pay per week = 234-53 = $181
For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)
Total gross pay = 234 x 12 =$2,808
Total net pay = 181 x 12 = 181 per week x 12 = $2172
If a 30-foot ladder leaning against a building makes a 62° with the ground. How many feet from the base of the building is the bottom of the ladder? Assume you hired an excellent contractor, and your building's wall is perpendicular to the ground. Round to the nearest tenth of a foot.
Answer: 14.1 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.
cos α = adjacent side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder
Replacing with the values given:
cos 62 = x/ 30
Solving for x
cos62 (30) =x
x= 14.1 feet
Feel free to ask for more if needed or if you did not understand something.
Suzie wants to buy a shirt that costs $30.00. She has $90.00. How many shirts can Suzie buy?
Answer:
3 shirts
Step-by-step explanation:
90 divided by 30 = 3
Therefore, with $90.00, Suzie can buy 3 shirts.
:)
Answer:
3 shirts
Step-by-step explanation:
$90/$30=3 shirts
What is the equation
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
what is the difference 4 1/3 - (-2/3)
Answer:
5
Step-by-step explanation:
2 negatives always equal a positive.
We have to convert 4 1/3 into a improper fraction which is 13/3. Since we know 2 negatives equal a positive, we add both fractions. 13/3 + 2/3 ewuals 15/3 which equals 5.
The drama club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 with a 1/2 hour break between the showing.
Answer:
an hour and ten minutes long.
Step-by-step explanation:
Jamal decides he wants to shop around for the best price for purchasing an advertisement space in a newspaper. One of the companies he contacts charges $2.00 for each line in the advertisement and an initial fee. For the 3 lines he needs, the company will charge $14.00. Which equation best represents this scenario if y is the cost for an ad with x lines?
Answer:
Y = $2x + 8
Step-by-step explanation:
Variable cost per line = $2.00
For 3 lines, the Variable cost = $2 x 3 = $6
Total cost for 3 lines = $14.00
Fixed Charges = $14 - $6 = $8
Using the formula, total cost, Y = $2x + $8 = $14
Where x = number of lines needed.
Therefore, total cost, Y = ($2 x 3) + $8 = $14
(7i)(3i) help please
Answer:
-21i
Step-by-step explanation:
[tex]i^{2}[/tex] = -1
7*3=21
21 x -1 = -21
Answer:
-21
Step-by-step explanation:
6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK
Answer:
False
Step-by-step explanation:
The left side 0.06 does not equal to the right side 0, which means that the given statement is false.
What is 0.83¯¯¯¯ expressed as a fraction in simplest form?
Enter your answer in the box.
Answer: 5/6
Step-by-step explanation:
Answer:
the answer is
100÷83
Step-by-step explanation:
hope this helps
In what quadrant is the sine POSITIVE, and the cosine NEGATIVE?
Answer:
Second quadrant
Step-by-step explanation:
In the second QUADRANT sine is positive and cosine is negative.
Answer:
Look at attached graphic
sine if positive in Quadrants I and II
cosine is negative in Quadrants II and III
(in the graphic blue is positive red is negative)
Step-by-step explanation:
What is the coefficient in the following expression?
5a to the 2 power subtracted by 7
a)7
d)2
c)5
b)a
Answer:
c)5
Step-by-step explanation:
Coefficient is always the numerical value before the variable
I hope this helped and have a good rest of your day!
What is the volume? please answer asap.
Answer:
25 and 1/3
Step-by-step explanation:
2x+26+(5-3x)..........................................
Three solid shapes, A, B and C are similar.
The surface area of shape A is 9cm^2
The surface area of shape B is 16cm^2
The ratio of the volume of shape B to the volume of shape C is 27 : 125
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form.
Answer:
A:C = 9:20
Step-by-step explanation:
The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,
(A/B )² = 9/16
square root both sides
A/B = √9/√16
A/B = 3/4
A:B = 3:4
The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,
(B/C)³ = 27/125
cube root both sides
B/C = 3/5
B:C = 3:5
To make the ratio equivalent
A:B:C = 9:12:20
A:C = 9:20
What is 9.9581 rounded to the nearest thousandth?
Answer:
9.958
Step-by-step explanation:
The thousandths spot is where the 8 is so you round 8 with the number behind it 1. Since 1 is below 5, you keep 8 the same and get rid of the 1.
Answer:
9.958
Step-by-step explanation:
find the number in the thousands place, 8 and then look 1 place to the right for the rounding digit 1. Round up if this number is greater than or equal to 5 and round down if it is less then 5.
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
Tue or False? The first distribution shown below had a smaller mean than does the second distribution
Answer:
the answer id true
i hope that helps
Eliana is reading a 964-page book.She reads 20 pages per day in the book. If x represents the number of days Eliana has spent reading the book so far, which of the following equations can be used to find the number of pages remaining in the book for Elaina to read. A-y=20x+964 B-y=-20+964 C-y=964+20 D-y=-964+20
Answer:
the answer is a
Step-by-step explanation:
winnie and kevin like to create their own triathlon courses to challenge each other. last weekend, winnie created a course that included a swim of 5/4 kilometers , a bike ride of 95/4 kilometers and a run of 21/4 kilometers. how long was the course winnie created?
Answer:
121/4
Step-by-step explanation:
no need
Length of the track = 121/4 kilometers
What is length?Length is used to measure the distance between two points. Length is the longest dimension of a figure and it shows how long the given object or figure is. It is expressed in linear units like meters, centimeters, inches, and so on.
Given,
swimming course length = 5/4 kilometers
Bike track length = 95/4 kilometers
Running track length = 21/4 kilometers
Total length of the course = 5/4 + 95/4 + 21/4
= (5 + 95 + 21)/4
= (100 + 21)/4
= 121/4 kilometers
Hence, 121/4 kilometers is the length of the course.
Learn more about length here:
https://brainly.com/question/22059747
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