Number of bracelets she can make from 15 1/6 = 91/6 foot of string is :
[tex]n_1=\dfrac{\dfrac{91}{6}}{\dfrac{1}{2}}\\\\n_1=30.33[/tex]
So, number of bracelets from 15 1/6 foot string are 30.
Now,
Number of bracelets she can make from 12 1/3 = 35/3 foot of string is :
[tex]n_2=\dfrac{\dfrac{35}{3}}{\dfrac{1}{2}}\\\\n_2=23.33[/tex]
Number of bracelets from 12 1/3 foot string are 23.
Therefore, total number of bracelets she can make is 23 + 30 = 53.
Hence, this is the required solution.
the residents of the state of texas pay an 8.25% sales tax on most purchases.which decimal represents the texas state sales tax?
A) 0.825
B)0.00825
C)0.0825
D)8.250
11. Solve by completing the square.
- 10x = 5x^2-1
Answer:
x = (√6/√5) - 1
Step-by-step explanation:
- 10 x = 5x^2 -1
can be written as
5x² + 10x - 1 = 0
completing the square method :
for quadratic equation of the format ax² + bx + c = 0 ,
step 1, divide equation by a
therefore. dividing the equation by 5
=> x² + 2x - (1/5) = 0
=> x² + 2x = 1/5
c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)
b/2 = 1
=> x² + 2x +1 = 6/5
=> (x + 1)² = 6/5
=> x = (√6/√5) - 1
Divide.
-4 4/5 divided by 4
Answer:
-1 1/5
Step-by-step explanation:
y=1/4x + 8 what would be the slope and the y-intercept
Answer:
y= 1/4x + 8
comparing with
y= mx + c
slope = 1/4
for y intercept x=0
y=8
Step-by-step explanation:
The slope of the line is 1/4, The y-intercept is 8.
In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.
Therefore, the slope of the line is 1/4.
The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.
y = (1/4)(0) + 8
= 0 + 8
= 8
Hence, the y-intercept is 8.
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1. Determine the 20th term of the sequence
1, 4, 7, ...
Explicit
Find the 20th term
through: (-2,-2), slope = 1/2
Write the slope-intercept form of the equation of the line through the given point with the given slope.
Answer:
The answer is
[tex]y = \frac{1}{2} x - 1[/tex]Step-by-step explanation:
To find an equation of a line given a point and slope we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-2,-2) and slope = 1/2
The equation of the line is
[tex]y + 2 = \frac{1}{2} (x + 2) \\ y + 2 = \frac{1}{2} x + 1 \\ y = \frac{1}{2} x + 1 - 2[/tex]
We have the final answer as
[tex]y = \frac{1}{2} x - 1[/tex]
Hope this helps you
The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.
The perimeter of a rectangle is twice its length added to twice its width.
[tex]2l+2w=22[/tex]
The length is 3 more than the width:
[tex]l = w+3[/tex]
We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].
[tex]2(w+3) + 2w = 22[/tex]
Distribute the first terms:
[tex]2w+6+2w=22[/tex]
Combine like terms:
[tex]4w+6=22[/tex]
Subtract 6 from both sides:
[tex]4w=16[/tex]
Divide both sides by 4:
[tex]w = 4[/tex]
Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].
[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]
Hope this helped!
Answer:
What the other guy said XDDDDDDDDDD
Step-by-step explanation:
I'm awesome =D
what is good for your health
Answer:
Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health
Step-by-step explanation:
What x value makes this equation true -12x - 2(x+9) = 5(x+4)
A. -2
B. 13/19
C. 5
D. -1/3
Answer:
A. -2, x= -2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given
- 12x - 2(x + 9) = 5(x + 4) ← distribute parenthesis on both sides )
- 12x - 2x - 18 = 5x + 20 , that is
- 14x - 18 = 5x + 20 ( subtract 5x from both sides )
- 19x - 18 = 20 ( add 18 to both sides )
- 19x = 38 ( divide both sides by - 19 )
x = - 2 → A
1. Find the slope of the line containing the points (9,6) (11,9).
Answer:
[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]
Step-by-step explanation:
Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]
First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]
Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]
[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]
NEED HELP ASAP!!! find the measure of the angle BXE
Answer:
110 Degrees
Step-by-step explanation:
Subtract 150 from 40
Write algebraic expressions for this word phrase.
The sum of ¾ of a number and 7.
Answer:
¾x + 7
Step-by-step explanation:
"The sum of": Addition expression
"¾ of a number": ¾x
"and 7": + 7
Combine them all and you get ¾x + 7
Need help with this problem
Answer:
Step-by-step explanation:
2x + 1 + x + 23 = 180
3x + 24 = 180
3x = 156
x = 52
2(52) + 1 = 104 + 1 = 105
52 + 23 = 75
What type of angles are ECH and FCG?
ECH is an acute angle.
FCG is also an acute angle.
Answer:
Vertical angles
Step-by-step explanation:
Vertical angles are angles formed by two intersecting lines, which the angles are facing the opposite direction. Also the angles are on the same vertice (point).
m∠1 = 65°, what is m∠2?
Answer:
m∠2=65
Step-by-step explanation:
They are corresponding angels which means they are congruent.
The graph below represents the solution set of which inequality? x2 – 2x – 8 0 x2 + 2x – 8 > 0
Answer: x^2+2x-8<0
Step-by-step explanation:
A. x^2 - 2x - 8 < 0
(x - 4)(x + 2) < 0
B. x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0
C. x^2 - 2x - 8 > 0
(x - 4)(x - 2) > 0
D. x^2 + 2x - 8 > 0
(x + 4)(x - 2) > 0
When you test a point in the interval between -4 and 2, for example 0, it is negative.
[tex]x^2+2x-8 < 0[/tex] represents the given solution set.
What is known as inequality?A mathematical expression in which left hand side is not equal to right hand side is known as inequality.
The given solution set is x>-4 and x<2
Option A: [tex]x^2-2x-8 < 0[/tex]
(x+2)(x-4)<0
x<-2 and x<4
Option B: [tex]x^2+2x-8 < 0[/tex]
(x-2)(x+4)<0
x<-4 and x<2
Option C: [tex]x^2-2x-8 > 0[/tex]
(x+2)(x-4)>0
x>4 and x>-2
Option D: [tex]x^2+2x-8 > 0[/tex]
(x-2)(x+4)>0
x>-4 and x>2
Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.
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The height of a tree is 38 inches. After 4 years, the height is 9 feet 10 inches. How many inches did the tree grow each year?
The tree grows linearly, then the tree grows each year will be 20 inches.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The height of a tree is 38 inches.
After 4 years, the height is 9 feet 10 inches.
1 ft = 12 inches
9 ft = 180 inches
Then 9 ft and 10 inches will be
→ 108 + 10
→ 118 inches
The tree grows in 4 years and will be
→ 118 - 38
→ 80 inches
Let the tree grows linearly, then the tree grows each year will be
→ 80 / 4
→ 20 inches
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If a given area of a square is 24cm2, estimate the length of one side of the square?
Answer:
2√6cm
Step-by-step explanation:
Area = L×L
A=L2
24 =L2
√24 =√L2
2√6= L
:.L =2√6.cm.
Question 9
A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in
the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the
number of seats in each car.
Answer:
[tex]4n = 24[/tex]
Step-by-step explanation:
Given
[tex]Cars = 4[/tex]
[tex]Empty = 3[/tex]
[tex]Occupied = 21[/tex]
Required
Determine an equation to find number of seats
Let the number of seats in each car be represented by n;
If [tex]1\ car = n[/tex]
Then:
[tex]4\ cars = 4 * n[/tex]
[tex]4\ cars = 4 n[/tex]
This implies that there are 4n total seats
Solving further:
[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]
Substitute values for the above parameters:
[tex]21 + 3 = 4n[/tex]
[tex]24 = 4n[/tex]
Reorder
[tex]4n = 24[/tex] ---- This equation can be used to solve for n
Your friend has owned a dog for 35 weeks. This is five weeks less than twice as long as he has owned a cat. How long has your friend owned a cat? .
Answer:
20 weeks
Step-by-step explanation:
35+5=40
40/2=20
A map has a scale of 1 inches : 10 miles. Use the given map distance to find the actual distance.
15 miles
12 miles
30 miles
39 miles
A map has a scale of 1 inch : 5 kilometers. Use the given actual distance to find the map distance.
14.4 inches
9.25 inches
68 inches
20.3 inches
Answer:
A) inches: 1.5, 1.2, 3.0, 3.9
B) km 72, 46.25, 340, 101.5
Step-by-step explanation:
A) To find the distance in inches, divide by 10 miles:
15 miles ⇒ 1.5 inches
12 miles ⇒ 1.2 inches
30 miles ⇒ 3.0 inches
39 miles ⇒ 3.9 inches
__
B) To find the distance in km, multiply the map distance by 5.
14.4 in ⇒ 72 km
9.25 in ⇒ 46.25 km
68 in ⇒ 340 km
20.3 in ⇒ 101.5 km
A student studied the sleeping habits of senior at his high school as 34 randomly selected seniors how many hours of sleep they got the previous night
A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?
Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?
Answer:
15
Step-by-step explanation:
one side is equal to 5. So 5 ×3
What is 88.2 rounded to the nearest whole number?
Answer:
88
Step-by-step explanation:
if the decimal is below 5 then round down
Answer:
88
Step-by-step explanation:
2 is less than 5, therefor it would be rounded to 88. If a number higher than five or five was in two's place it would be rounded to 89.
how do i solve this? 12x÷100+35000minus 14x ÷100
Answer:
-2x/100 + 35
Step-by-step explanation:
Step 1:
12x ÷ 100 + 35,000 - 14x ÷ 100
Step 2:
- 2x ÷ 100 + 35,000 ÷ 100
Step 3:
- 2x ÷ 100 + 35
Answer:
- 2x/100 + 35
Hope This Helps :)
Using a spinner, conduct an experiment to compare experimental probability with theoretical probability.
The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.
The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
Experimental vs Theoretical Probability
How to find the Experimental Probability of an event?
Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.
Step 2: Divide the two numbers to obtain the Experimental Probability
How to find the Theoretical Probability of an event?
The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.
A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. Which equation can be solved to determine the age of the charcoal?
0.10Ao = Aoe0.000121t
Ao = 0.10Aoe0.000121
0.10Ao = Aoe –0.000121t
Ao = 0.10Aoe –0.000121t
Answer:
It is C
Step-by-step explanation:
Got it right in edg
Answer:
A piece of charcoal was unearthed at an archeological site and found to contain 10% of its original carbon-14. The half-life of carbon-14 is 5,730 years. This means that after 5,730 years, only half of the original amount of carbon-14 will remain. Which equation can be solved to determine the age of the charcoal?
C on edg
Step-by-step explanation:
SIMPLE GEOMETRY QUESTION WORTH 13 POINTS!!! EASY EARNED POINTS!!! ANSWER ASAP!
Answer:
90°
Step-by-step explanation:
If E=F, and E is the complement to F, they must both be 45 degrees.
2x45=90
180-90=90
Solve to 3 s.f and in scientific notation (5.11×10^-4)+(4.33×10^-3)
Answer:
0.00484
Step-by-step explanation: