b = 1/4
b = 0.25
Move all terms not containing b to the right side of the equation.
Answer:
b=1/4
Step-by-step explanation:
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings
are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and
anchovies.
How many ways can you arrange 3 toppings out of 10 toppings on a pizza?
Answer:
120 ways
Step-by-step explanation:
To solve this question, we would be using the law of combination.
In combination, we say that
nCr = n! / (n - r)! r!, where both r and n are integers.
Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have
10C3 = 10! / (10 - 3)! 3!
10C3 = 10! / 7! 3!
10C3 = 3628800 / 5040 * 6
10C3 = 3628800 / 30240
10C3 = 120
Therefore, the toppings can be arranged in 120 ways.
Leave a like if it helped you, please
Solve 3x − 5y = 17
9x − 15y = −4
Answer:
3x - 5y = 17
3(9) - 5(2) = 17
27 - 10 = 17
x = 9
y = 2
---------------------
9x - 15y = -4
I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.
The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
9 square root 3 divided by 3 square root 3
Answer:
[tex] \frac{9 \sqrt{3} }{3 \sqrt{3} } = \frac{9}{3} = 3 \\ [/tex]
3 is the right answer.
HURRY THIS IS MY LAST THING FOR THIS ASSIGNMENT. Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (−0.5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to Maria about her misunderstanding and explain how to plot the point.
Answer: You can have halves of points, Just because I have 0 units and 1 units doesn't mean that I can't put a point in the middle of the two. You could put a point in the middle of a unit for 0 - 1 it would be 0.5. You would place it in the middle of the unit
Step-by-step explanation:
What is the GCF of 81 and 180?
Answer:
9
Step-by-step explanation:
PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!
Answer:
B. 112°
Step-by-step explanation:
4x -4 = (3x+4) + (2x-44)
4x -4 = 5x - 40
5x - 4x = -4 + 40
x = 36
∠BCA = 3 * 36 + 4 = 112
Please answer will give brainliest to the best answer please make sure to explain!
Triangle ABC ~ Triangle DEF, which of the following is a conclusion that can be drawn?
A. AB/AC=DE/DF
B. AB/DE=CA/DE
C. BC/AB=DE/EF
D. BC/AC=EF/DE
Evaluate the expression.
131 +-5
Answer:
126
Step-by-step explanation:
131 + - 5 can either be;
131 + 5 = 136
131 - 5 = 126
The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.
Which has the least value for 9? *
A. 1.95
B. 0.1039
C. 3.092
D. 2.009
Answer:
0.1039
Step-by-step explanation:
Obtain the place value of 9 in each value and choose the smallest :
1.95
9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place
0.1039
9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place
3.092
9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place
2.009
9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place
Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).
10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Approximately how wide is the new television? show work
Answer:
Width = 54.3 inches
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
Width² + Height² = Diagonal²
From the above question
Width= ??
Height = 30 inches
Diagonal = 62 inches
Width² + 30² = 62²
Width² = 62² - 30²
Width = √62² - 30²
Width =✓2944
Width = 54.258639865 inches
Approximately
Width = 54.3 inches
Hence, the new television was 54.3 inches wide.
SOMEONE PLEASE HELP ME
Geometry
Lesson 1.1 Practice
Answer:
ok
Step-by-step explanation:
Answer:
You just need to substitute the variables. Example, problem 9; N=9 and q=10, 9×10? You got your answer.
Pls help I’ll brainlest
Answer:
-2.1y + 12.9
Step-by-step explanation:
Answer:
12.9-2.1y
Step-by-step explanation:
Use the distributive property to multiply −0.5 by 12y−9.
8.4+3.9y−6y+4.5
Combine 3.9y and −6y to get −2.1y.
8.4−2.1y+4.5
Add 8.4 and 4.5 to get 12.9.
12.9−2.1y
What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?
Answer:
[tex]\displaystyle d = 34[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
CoordinatesAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -13)
Point (-1, 21)
Step 2: Find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 34[/tex]A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?
Answer:
She kicked the ball upwards.
Step-by-step explanation:
:)
Answer:
She kicked the ball up. Thanks for 50 points. :)
Step-by-step explanation:
decide whether each function is linear or nonlinear from its graph
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
a) This problem involves 8-digit binary strings such as 10011011 or
00001010.
i How many such strings are there?
ii. How many such strings end in 0?
iii. How many such strings have l's for their second and fourth digits?
iv. How many such strings have l's for their second or fourth digits?
b) Find how many 9-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6,
7, 8, 9 if repetition is not allowed and all the odd digits occur first (on the
left) followed by all the even digits.
c) How many permutations of the letters A, B, C, D, E, F, G are there in which
the three letters ABC appear consecutively, in alphabetical order?
Answer:
a)
i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.
ii) Each digit is set to 1 or 0 for exactly half of all combinations. This means that half of all strings, or 256 / 2 = 128 strings end with a zero.
iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit. If you consider:
Half of all digits will have the second bit set to 1
Half of all digits will have the fourth bit set to 1
Half of those will overlap
Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4
iv) This is a duplicate of iii, so again, 192
b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used. We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696
c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24
need help asap please
Answer:
y=3/4x+1
Step-by-step explanation:
If you rearrange the given equation to slope intercept form, you'll find the slope to be -4/3. If a line is perpendicular to another it'll have the opposite reciprocal for a slope, meaning the new line's slope would be 3/4. If you plug 3/4 and the given point's x and y value into slope intercept form you'll find the b value or y intercept to be 1. Since you now have the slope and the y intercept you can determine the equation to be y=3/4x+1. Hope this helps!
I am super confused
.....................
Answer:
B is the answer
Step-by-step explanation:
What is 4 8/9 plus 3 2/11
Answer:
8 7/99, Decimal. (8.07 repeated)
Step-by-step explanation:
The circle graph shows the preferences of town residents for the new playground equipment in a park
If 240 residents responded to the survey, how many residents preferred each type of playground equipment
Swings:
residents
Sandbox: residents
Obstacle course: residents
Answer:
swings: 120 (50%)
obstacle course: 80 (1/3)
sandbox: 40
Step-by-step explanation:
we know by looking, that swings makes up 50%, so we divide 240 by 2 to get 120
the obstacle course makes up one-third, 1/3 of 240 is 80
add 120+80 to get 200
to find the sandbox amount, do 240 minus 200 and we get 40
The circle graph is used to show how variables measure against one another using a circle of different sectors.
There are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings
The number of residents is given as:
[tex]n = 240[/tex]
From the given circle graph, we have the following proportions
[tex]Sandbox = 1/6n[/tex]
[tex]Obstacle = 1/3n[/tex]
[tex]Swings= 1/2n[/tex]
So, the number of residents in each equipment is:
[tex]Sandbox = \frac 16 \times 240[/tex]
[tex]Sandbox = 40[/tex]
[tex]Obstacle = \frac 13 \times 240[/tex]
[tex]Obstacle = 80[/tex]
[tex]Swings =\frac 12 \times 240[/tex]
[tex]Swings =120[/tex]
Hence, there are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings
Read more about circle graphs at:
https://brainly.com/question/796269
Two bags of cereal are packed in a box. The total weight of the box and the two bags of cereal is 50.00 ounces. One bag of cereal weighs 16.03 ounces, the other weighs 18.98 ounces. How much does the box weigh?
14.99 ounces
14.72 ounces
14.08 ounces
14.01 ounces
Find the value of x.
B
92
A
1019
68
D
X=
Answer:
Step-by-step explanation:
Find the gradient of the line segment between the points (1,-2) and (-2,10).
Given:
A line segment is between the points (1,-2) and (-2,10).
To find:
The gradient of the given line segment.
Solution:
We know that gradient of the given line segment means slope of the line segment.
The line segment between the points (1,-2) and (-2,10). So, slope of the line segment is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]
[tex]m=\dfrac{10+2}{-3}[/tex]
[tex]m=\dfrac{12}{-3}[/tex]
[tex]m=-4[/tex]
Therefore, the gradient of the given line segment is -4.
what is one-fourth of 24
Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
Answer:
6...? I don't know why you are doing first grade math again...
Step-by-step explanation:
The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?
Constant Of Proportionality = ________
Answer:
Step-by-step explanation:
y=kx
(5,1)
1=k*5
1/5=k*5/5
1/5=k
The constant of proportionality between y and x in this graph is
1/5
What is the rate of change And initial value for the linear relationship that includes the points shown in the table
Answer:
Multiply them and then add them altogether
so
Step-by-step explanation:
2x3=6
4x5=20
6x7=42
8x9=72
6+20+42+72= 140
6+20=26
26+42=68
68+72= 140