Answer:
11 11/12
Step-by-step explanation:
Answer:
≈ 12
Step-by-step explanation:
To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.
Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)
If [tex]f(x) = x[/tex]² [tex]-x+3[/tex], then what is the reaminder when [tex]f(x)[/tex] is divided by [tex]x+9[/tex]?
Answer:
Remainder is 93
Step-by-step explanation:
Use synthetic division:
-9 | 1 -1 3
____ -9 90
1 -10 | 93
Therefore, the remainder is 93
Suppose there is a game where there are 5 identical boxes to choose from. One of these boxes has a
prize. Each time the game is played, the prize is randomly placed in one of the 5 boxes. If someone
were to play this game 4 times in a row, what is the probability this person will win the prize exactly 2
times?
Answer:
0.1536
Step-by-step explanation:
This is a binomial probability distribution with 2 successes in 4 trials.
The chance of a success is 1/5 = 0.2.
So there needs to be 2 successes and 2 failures in the 4 plays.
Reqd. Probability is 4C2*(0.2)^2(0.8)^2
= 0.1536.
A sequence of patterns is made from circular tiles and square tiles. Here are the first three patterns in the sequence:
a) How many square tiles are needed to make Pattern Number 7? [2 MARKS]
b) How many circular tiles are needed to make Pattern Number 20? [2 MARKS]
c) When the pattern number is odd, the total number of tiles (SQUARE & CIRCULAR) needed to make the pattern: A - will always be even | B - will always be odd | C - could be even or odd | [2 MARKS]
!! PLEASE ANSWER ALL OF THE QUESTIONS !!
Answer:
a) 49
b) 84
c) (B) -- always odd
Step-by-step explanation:
We observe that the number of square tiles is the square of the pattern number. The number of circular tiles is 1 more than the pattern number on each side of the square.
square tiles = n²
circular tiles = 4(n +1)
__
a)7² = 49 square tiles are needed for pattern number 7.
__
b)4(20+1) = 84 circular tiles are needed for pattern number 20.
__
c)The parity of the number of square tiles matches the parity of the pattern number. (The square of a number has the same parity as the number.) Since 4 is a factor in the number of circular tiles, its parity is always even. The parity of the total number of tiles will match the parity of the pattern number.
When the pattern number is odd, the total number of tiles will always be odd. (B)
the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.
Answer: 130cm
Let's think the width of the rectangle as, "x"
45*x= 900
x= 900/45
x= 20
45+45+20+20
= 130cm
Solve for B.
15B +9C =6
Answer:b=5
Step-by-step explanation:
The value of B for the given expression is B = (2 - 3C) / 5.
What is an expression?An expression in mathematics is a grouping of one or more numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, division, and exponentiation) that illustrates a relationship or calculation.
Parentheses, braces, and other grouping symbols that specify the sequence in which operations should be carried out are also permitted in expressions.
To solve for B, we need to isolate B on one side of the equation.
15B + 9C = 6
Subtract 9C from both sides:
15B = 6 - 9C
Divide both sides by 15:
B = (6 - 9C) / 15
Simplifying the right side gives:
B = (2 - 3C) / 5
Therefore, B = (2 - 3C) / 5.
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Use the graph method to solve the system of Linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3, 0)
Solve for x, y, and z
Step-by-step explanation:
[tex]x = 46.16 \\ y = 23.00 \\ z = 55.7[/tex]
i have 100 points
i need some help!!
Answer:
Option D: [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
Step-by-step explanation:
GIven the following inequality statement:
[tex]\displaystyle\mathsf{7x\:+\:6\:\geq \:\frac{-x}{2}}[/tex]
Start by eliminating the fraction on the right-hand side.
Multiply both sides of the inequality statement by 2:
[tex]\displaystyle\mathsf{2(7x\:+\:6)\:\geq \:\bigg[\frac{-x}{2}\bigg](2)}[/tex]
2(7x + 6) ≥ -x
Next, distribute 2 into the terms inside the parenthesis:
14x + 12 ≥ -x
Subtract 12 from both sides:
14x + 12 - 12 ≥ -x - 12
14x ≥ -x - 12
Add x to both sides:
14x + x ≥ -x + x - 12
15x ≥ - 12
Divide both sides by 15 to isolate x:
[tex]\displaystyle\mathsf{\frac{15x}{15}\:=\:\frac{-12}{15}}[/tex]
[tex]\displaystyle\mathsf{x\geq -\frac{4}{5}}[/tex] or [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
Therefore, the correct answer is Option D: [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]
Mr. Hare left at 8:00 a.m. and is traveling 40 miles per hour. Mrs. Hare left at 9:00 a.m. and is traveling at 50 miles per hour. If Mr. and Mrs. Hare are traveling the same direction, what time will it be when Mrs. Hare is at the same location as Mr. Hare?
A. 11:00 a.m.
B. 1:00 p.m.
C. 2:00 p.m.
D. 3:00 p.m.
Answer:
The answer is b
Step-by-step explanation:
During the 8-9 , Mr hare travel 40miles
For the time 9 onwards they travel concurrently,
Let x be the distance covered by both since they can only meet if they covered the sams distance,
x/50 = x/40 -1 ,where the 1 is the (8-9) 1 hr
x/40 - x/50 = 1
x = 200
Time take by Mr Hare = 200/ 40 = 5
from 8 add 5 hours will be 1
Note, i took this answer from an answer from another answer.
Shawn wants to save up for a birthday outfit. He figures he can save $25 each week from the money earns cutting hair. If he plans to spend less than $175 for the outfit, how many weeks will it take him save enough money to buy any outfit in his price range?
Answer:
7 weeks
Step-by-step explanation:
175 divided by 25 is 7
1. Suppose 750 tickets were sold for a concert with a total revenue of $5300. If adult tickets were $8 and
student tickets were $4.50, how many of each type of ticket were sold?
a) Define your variables.
X=______
y =_______
b) Write the system of equations.
Equation 1:_______
Equation 2:______
c) Solve the system of equations and determine how many of each type of ticket were sold.
ha
Answer:
x=65
Step-by-step explanation:
y= 23213
What is the perimeter of the rectangle?
Answer:
6x+20 cm
Step-by-step explanation:
-formula : perimeter of rectangle=2(L+W)
L=2x+10 W=x
2(2x+10+x)
=2(3x+10) *distribute 2 on 3x ,10*
=6x+20 cm
Pencils are on sale for 25 for $1.25. Based on this rate, how much would one pencil cost?
Answer:
$0.05
Step-by-step explanation:
1.25/25=0.05
Mr.Hickory’s Tree farm spent $2,300 on seeds and supplies to grow 80 trees. Write an inequality to determine how much Mr. Hickory needs to charge for each tree in order to make a profit of at least $2500.
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500
Let x represent the amount of money charge for each tree.
The cost of growing the trees is $2300.
The revenue = 80x
Profit = Revenue - cost
Hence, to make a profit of at least $2500:
80x - 2300 ≥ 2500
80x ≥ 4800
x ≥ 60
Mr. Hickory needs to charge more than $60 for each tree in order to make a profit of at least $2500.
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The polynomial p(x) = 5x^2 – 9x2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
the question in the picture
Answer:
the answer is
[tex] {3}^{5} [/tex]
Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.
Answer:
B.
Step-by-step explanation:
4 is of course not equal to 5 so no values of x make the equation true.
There are no solutions to this equation.
Given f(x)=1/4(5−x)2 what is the value of f(11)?
Answer:
-3
Step-by-step explanation:
Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.
The gas tank on a car holds 13.3 gallons. If the car goes 199.5 miles on a single tank, how many miles per gallon does the car get?
Answer:
292.6
Step-by-step explanation:
what is 4 divided by 8
Answer:
0.4 or 2
Step-by-step explanati
that easy
The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.
The expression that can be used to find the
garden's length is l = 5x(x - 7) / 5x where l = (x - 7)
Given:
Area of a rectangle = 15x² - 35x
Width of the rectangle = 5x
Length of the rectangle = l
Area of the rectangle = length × width
15x² - 35x = l * 5x
Factor out the left hand side
5x(x - 7) = l * 5x
Divide both sides by 5x
5x(x - 7) / 5x = l
x - 7 = l
Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x
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8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.
-
Answer:
Below in bold.
Step-by-step explanation:
3x + y = -1
2x + y=0
Subtract to eliminate y:
3x - 2x + y - y = -1 - 0
x = -1
So, substituting for x in the first equation;
3(-1) + y = -1
y - 3 = -1
y = 2.
The solution is the ordered pair (-1, 2).
The system is a pair of straight lines which intersect at the point (-1, 2).
y = 7x
-14x + 2y = 0
The answer is no solution but please help with showing the work I’m stuck with it.
Answer:
-14x+2(7x)=0
-14×+14×=0
0=0
You put $400 in an account account balance nine months later is now $418 what is the annual interest rate
Answer:
6% a year
Step-by-step explanation:
r=(1/t)(A/p-1)
r= 1/9((418/400)-1) = 0.005
0.005*100 (for percentage) = 0.5%
rate monthly is 0.5%
0.5*12= 6
yearly is 6%
1. When two lines cross, the opposite angles are ___________ angles and are congruent. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
2. Two angles that share a side and a vertex but do not overlap. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
3. Two angles whose measures add up to 180 degrees. *
Angle Addition Postulate
Adjacent Angles
Supplementary Angles
Vertical Angles
Answer:
1. vertical angles
2. Adjacent angles
3. Supplementary angles
Step-by-step explanation:
PLEASE HELP QUICK!
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
ASA
Step-by-step explanation:
Angle marked the same way are congruent, so the two triangles have a side in common and the two adjacent angles congruent, so it's ASA
Answer:
The answer is Option B.) ASA
Explanation:
With the ASA rule, all triangles are congruent.
What is the next number
3, 4, 7, 16, 11, 64, …
Answers:
A) 55
B)14
C)39
D)15
the answer is c) 39 according to the sequence
The next number 3, 4, 7, 16, 11, 64, is: 55.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
When all the terms of a geometric sequence are added, then that expression is called geometric series.
We are given the series as;
3, 4, 7, 16, 11, 64, …
If we separate the numbers that in order are in the even place of the odd ones, we would have :
3, 4, 7, 16, 11, 64,..
If we finish in 1 then they increase by 1 in 1, while in 2.- they increase in odd numbers, the following number is: 55
The correct option is A.
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Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
represented by a function. What is the range of the function?
Answer:
{0, 50, 100, 150, ..., 350, 400}
Step-by-step explanation:
The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.
{0, 50, 100, 150, ..., 350, 400}
_____
The expression for f(x) is ...
f(x) = initial balance - (rate of withdrawal) × (time period)
f(x) = 400 -50x
This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."
However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.
Please help me understand
Step-by-step explanation:
A=2(wl+hl+hw)=2x(14x7+7x7+7x14)=490
Option B is the correct answer
2. Use the conversion table to convert the following metric units into the given English units.
Round your answers to two decimal places.
a. 12 mm to inches
b. 75 km to miles
C. 150 m to feet
d. 63 square meters to square feet
e 45 meters per second to feet per second
1.9 L (liters) to U.S.quarts
Answer:
I need only 5 brainlisted please give meStep-by-step explanation:
please anyone please I request you allThe conversion is a. 12 mm ≈ 0.47 inches
b. 75 km ≈ 46.60 miles
c. 150 m ≈ 492.13 feet
d. 63 square meters ≈ 678.13 square feet
e. 45 meters per second ≈ 147.64 feet per second
f. 1.9 L ≈ 2.01 U.S. quarts
To convert the metric units into the given English units, we'll use the following conversion factors:
1 inch = 25.4 mm
1 mile = 1.60934 km
1 meter = 3.28084 feet
1 square meter = 10.7639 square feet
1 meter per second = 3.28084 feet per second
1 liter = 1.05669 U.S. quarts
a. 12 mm to inches:
12 mm * (1 inch / 25.4 mm) ≈ 0.47 inches
b. 75 km to miles:
75 km * (1 mile / 1.60934 km) ≈ 46.60 miles
c. 150 m to feet:
150 m * (3.28084 feet / 1 meter) ≈ 492.13 feet
d. 63 square meters to square feet:
63 square meters * (10.7639 square feet / 1 square meter) ≈ 678.13 square feet
e. 45 meters per second to feet per second:
45 meters per second * (3.28084 feet per second / 1 meter per second) ≈ 147.64 feet per second
f. 1.9 L (liters) to U.S. quarts:
1.9 L * (1.05669 U.S. quarts / 1 liter) ≈ 2.01 U.S. quarts
So, after rounding to two decimal places:
a. 12 mm ≈ 0.47 inches
b. 75 km ≈ 46.60 miles
c. 150 m ≈ 492.13 feet
d. 63 square meters ≈ 678.13 square feet
e. 45 meters per second ≈ 147.64 feet per second
f. 1.9 L ≈ 2.01 U.S. quarts
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