Under his cell phone plan, Anthony pays a flat cost of $56 per month and $4 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Anthony can use while staying within his budget.
Answer:
x ≤ 3.5 gigabytes
Step-by-step explanation:
Under his cell phone plan, Anthony pays a flat cost of $56 per month and $4 per gigabyte. He wants to keep his bill under $70 per month.
Let us represent the number of gigabytes = x
Hence, our Equation is:
$56 + $4 × x ≤ $70
56 + 4x ≤ 70
Collect like terms
4x ≤ 70 - 56
4x ≤ 14
x ≤ 14/4
x ≤ 3.5 gigabytes
Therefore, the number of gigabytes Anthony can use while staying within his budget is less than or equal to 3.5 gigabytes
Round 82736 to 1 significant figure
Answer:
80000
Step-by-step explanation:
Here, we want to round off the given number to one significant figure
We have this as;
80000
We have numbers after 8 changed to zero
Solve this PLZ
6 ÷ 8 - 2 + 5 × 20 =
Answer:
6 ÷ 8 - 2 + 5 × 20 = 98.75
Step-by-step explanation:
A seagull is perched in a tree 50 feet above sea level. Directly below the seagull is a trout, swimming 23 feet below sea level. What is the distance between the seagull and the trout?
Answer:
27 feet
Step-by-step explanation:
Let the direction above sea level is positive and the direction below sea level is negative.
Here, a seagull is perched in a tree 50 feet above sea level. Directly below the seagull is a trout, swimming 23 feet below sea level.
It means,
Distance = 50 +(-23)
= 50-23
= 27 feet
Hence, the distance between the seagull and the trout is 27 feet.
There are 5 red and 3 black balls in a bag. Find the probability of drawing a black ball.
Answer:
5 : 3 (8 total)
3/8 or 0.375 or 37.5%
Answer:
the probability of drawing a black ball Pr( B)=3/8
Step-by-step explanation:
The total number of balls =5+3
=8
probability of drawing a Red ball=Pr(R)
=5/8
probability of drawing a Black ball=Pr(B)
=3/8
Estimate the value of
9304 ÷93 =
Answer:
100
Step-by-step explanation:
Round 9304 to 9300. 9300/93 is just 100 since 100 * 93 = 9300 (this is something easily recognizable).
What percentage of the pieces was he missing if he had 250 puzzle pieces and was missing 15 What percentage of the pieces was he missing
Answer:
Percentage of missed puzzle pieces = 6%
Step-by-step explanation:
Total number of puzzle pieces = 250
Missed puzzle pieces = 15
Percentage of the missing puzzle pieces = [tex]\frac{\text{Missed puzzle pieces}}{\text{Total number of puzzle pieces}}\times 100[/tex]
= [tex]\frac{15}{250}\times 100[/tex]
= 15 × 0.4
= 6%
Therefore, percentage of missed puzzle pieces = 6%
solve the system of equations by adding. checking your answer
2x+2y=2
3x-2y=43
the solution of the system is ( , )
Answer:
Step-by-step explanation:
This is very easy, because the coefficients of the y terms are 2 and -2. You can easily eliminate the y terms by adding the equations together:
2x + 2y = 2
3x - 2y = 43
-----------------
5x + 0y = 45, so x = 9
Use the value of x to solve for y:
2(9) + 2y = 2
y = -8
(x,y) = (2, -8)
A monarch butterfly flies about 80 miles per day. So far it has flown 60 miles. In the equation 80-m=60, m represents the number of miles it has yet to fly that day. Find the solution to the equation.
Answer:
20
Step-by-step explanation:
Subtract 60 from both sides, 60-60 cancels out and 80-60 is 20
m=20
How many four-letter codes can be made if no letter can be used twice?
14,950
16
358,800
1
What’s the answer to this
Answer:
Step-by-step explanation:
Use angle bisector theorem
(3x-3)/5x = 24/44
Solve:
x= 6
The shorter sides of a rectangle measure 4 inches each and one of its diagonals measures 8 inches. Which of the following is the measure of one of its longer sides? (1) 4√3 (3) 4√2 (2) 2 (4) 6
Answer:
The answer is 4√3
The measure of the longer side is equal to 4√3
What is the Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².
Given here breadth = 4 and diagonal = 8 and we know that rectangle has all four right angles
Thus, using the Pythagoras theorem we get
length = [tex]\sqrt{8^{2}-4^{2} }[/tex]
= [tex]\sqrt{64-16}[/tex]
= [tex]\sqrt{48}[/tex]
=4 [tex]\sqrt{3}[/tex]
Hence the length of the longer side is 4√3
Learn more about the Pythagoras theorem :
https://brainly.com/question/343682
#SPJ2
Are the lines parallel, perpendicular, or neither show work cause I need to understand this
Answer:
neither I believe because they intersect
The value of t varies directly with w. When t = 32, the value of w = 56. What is the value of w when t = 92? A 116 B 126 C 161 D 182
Answer:
(D). 182
Step-by-step explanation:
did the math
Find the value of x in 18 : 9 = 36 : x?
(a) 16
(b) 18
(c ) 27
(d) 72
with working plsss.impropriate answers will be reported
Answer is B Step-by-step explanation:
18/9/ 36
36/ 2
18
Is it possible for two numbers to have a difference of 8, and a sum of 1?
Answer:
It depends on the type of numbers that are acceptable. If you state your problem in words
x - y =8
x + y = 1
The answers are x = 4.5
y = -3.5
Which of the following descriptions best models a door?
A. rectangular prism
B.cone
C. pyramid
D.triangular prism
Answer:
A
Step-by-step explanation:
a door is a rectangle so is can't be any of the other shapes
The perimeter of a regular decagon is 855m.
State the length of one of its sides.
need help asap, will do brainlist
Answer:
85.5m
Step-by-step explanation:
No: of sides in a decagon = 10
Length of each side = 855m ÷ 10 = 85.5m
Send me the answers
Answer:
sending you my book i answered it
Step-by-step explanation:
Answer:
DEEZNUTZ
Step-by-step explanation:
URMOM
Which function has a range of all real numbers
less than or
equal to -3
The area of a rectangular concrete patio is 70 square meters. It is 10 meters long. How wide is it?
Answer:
Correct me if I'm wrong, but I'm pretty sure it is 7.
Step-by-step explanation:
because to find area you multiply length * width so 10 times 7 is 70?
x-2=-9 i need the answer quick please! thanks btw :P
Answer:
X=-7
Step-by-step explanation:
When "subtracting" negatives it's basically like adding them together, but the numbers get farther away from 0 going left... The equation could look like
-7 - 2 = -9 or -7 + (-2) = -9 :)
Answer:
x=-7
Step-by-step explanation:
2/2n + 1 = 4/5
please show work
Answer:
-1/5
Step-by-step explanation:
Divide the numbers:
2/2n + 1 = 4/5
1n + 1 = 4/5
Multiply by 1:
1n + 1 = 4/5
n + 1 = 4/5
Subtract 1 from both sides of the equation:
n + 1 = 4/5
n + 1 -1 = 4/5 -1
Simplify:
N + 1 - 1 = 4/5 -1
N = 4/5 -1
N = 4/5 -1
And this is what you'll get:
N = -1/5
Hope this helps. :]
Which equation is equivalent to the square root of x^2 + 81 = x + 10
Answer:
D is the correct answer
Step-by-step explanation:
I took the test and got it right
Can I please get brainlest
Find the sum of the first 35 terms of the following series, to the nearest integer.
9, 15, 21, ...
Step-by-step explanation:
hope u understand the process is shown in the picture.
The sum of the first 35 terms will be 3885.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that the series is 9, 15, 21, ..., The 35th term of the sequence will be calculated as,
Sn = n /2 [ ( 2a + ( n - 1 ) d]
Sn = 35 / 2 [ ( 2 x 9 + ( 35 - 1 ) 6)]
Sn = 35 /2 { 18 + ( 34 x 6 ) ]
Sn = 35 / 2 x 222
Sn = 3885
Hence, the sum of the 35 terms of the series will be 3885.
To know more about an arithmetic progression follow
https://brainly.com/question/24295771
#SPJ2
Please can you help me
Answer:
0.5 (or 0.50)
Step-by-step explanation:
So we have 6, 12, and 6.
Add them all together to get 24
12 of the skittles are green, so find the percentage/decimal.
12/24 = 0.5 (or 50%)
11 is 62% of what number? Round to the nearest tenth.
Answer:17.74
Step-by-step explanation:
A farmer grows x acres of peas and y acres of tomatoes. He has 12 acres available to plant peas and tomatoes. Write an inequality in x and y to satisfy this condition. The number acres of tomatoes planted must not be more then twice the number of acres of peas planted. Write an inequality in x and y to satisfy this condition.
Answer:
Y < 2X
Step-by-step explanation:
Let the acres of land on which pea is to be cultivated is "X" acres and the acres of land on which tomato is to be cultivated is "Y"
It is given that number acres of tomatoes planted must not be more then twice the number of acres of peas planted
Thus, [tex]Y < 2X[/tex]
[tex]X + Y = 12[/tex] acres
[tex]Y = 12-X[/tex] acres
Thus,
[tex]12 - X \leq X\\12\leq 2X\\6 \leq X[/tex]
Let us take X = 6 , Then Y = 13-6 = 6
Lucille wants to carpet her family room. Her family room is rectangular and has a length of 21 feet and a width of 17 feet. How many square feet of carpet will Lucille need to buy? feet? If the carpet costs $2.25 a square foot, how much money will it cost Lucille to carpet her family room?
Answer:
$803.25
Step-by-step explanation:
Given data
Dimension for the room
Length= 21 ft
Width= 17ft
Area= L*W
Area= 21*17
Area= 357 ft^2
Lucy will need to get 357ft^2 of carpet
We are given that a square ft cost $2.25
Hence to carpet the room the cost will be $2.25*357= $803.25
Given acd and abe, what is ab?
Answer:
AB = 8
Step-by-step explanation:
Using the similarity theorem of a triangle;
AC/AD = AB/AE
AC = AB + BC and AD = AE + ED
AB + BC/AE + ED = AB/AE
Substitute the given values
AB+12/15 = AB/6
Cross multiply
6(AB+12) = 15AB
6AB + 72 = 15AB
15AB - 6AB = 72
9AB = 72
AB = 72/9
AB = 8