Answer:
-24
Step-by-step explanation:
We are given that
[tex]b(n)=-8-2(n-1)[/tex]
We have to find the 9th term in the sequence.
Substitute n=1
Then, we get
[tex]b(1)=-8[/tex]
Substitute n=2
Then,we get
b(2)=-8-2(2-1)=-8-2=-10
n=3
b(3)=-8-2(3-1)=-8-4=-12
[tex]d_1=b(2)-b(1)=-10-(-8)=-2[/tex]
[tex]d_2=b(3)-b(2)=-12-(-10)=-2[/tex]
[tex]d_1=d_2=d=-2[/tex]
When the difference between two consecutive terms is constant then, the sequence is called arithmetic sequence.
Therefore, the given sequence is in A.P
The nth term of A.P is given by
[tex]a_n=a+(n-1)d[/tex]
We have, [tex]a=b(1)=-8[/tex]
[tex]d=-2[/tex]
n=9
Substitute the values in the formula
[tex]a_9=-8+(9-1)(-2)=-8-16=-24[/tex]
[tex]a_9=b(9)=-24[/tex]
You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
If m∠APW = 20°, then the measure of ∠WPZ is
20
70
90
160
Answer:
It is 70
Step-by-step explanation:
Both angles have to add up to 90 and I did the lesson ight
what are two decimals that have square root between 3 and 4
Jason draws a line in the sand at the beach. The line is 78 ft long. He wants to divide the line into sections that are each 1/8 ft long.
How many sections will the line be divided into?
Enter your answer in the box.
What is 0.72 written as a simplified fraction? (1 point) seventy-two over one hundred one hundred over seventy-two thirty-six over fifty eighteen over twenty-five 4. ms. johnson's class is having a pizza party. if there are 14 students and 7 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza that each student receives? (1 point) one-third one-fourth one-half one-eighth?
Determine the x- and y-intercepts of the graph of y = 1/4x - 2
Then plot the intercepts to the graph the equation
Answer:
The y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
Step-by-step explanation:
The interception points with the axes can be foun by making zero one variable.
If you wanna find y-interception, we must make x = 0.
If you wann find x-interception, we must make y = 0.
The given function is
[tex]y=\frac{1}{4}x-2[/tex]
For [tex]x=0[/tex], we have
[tex]y=\frac{1}{4}(0)-2\\y=-2[/tex]
For [tex]y=0[/tex], we have
[tex]y=\frac{1}{4}x-2\\0=\frac{1}{4}x-2\\2=\frac{1}{4}x\\x=8[/tex]
Therefore, the y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
The image attached show this.
Divide: 1,485 ÷ 0.09
Consider the statement 4-3+5=-6+8+4 this mathematically correct sentence is the sentence true or false? Explain how you know
What is the probability that it lands on heads at least 5 times?
Suppose a fair coin is flipped and a fair six-sided die is rolled. list the members of the event "the die does not land on 5"
Express 275% as a decimal number
The conversion of a percentage to a decimal number, divide the percentage by 100 it means that 275% represents 2.75 times the original quantity.
To convert a percentage to a decimal number,
divide the percentage value by 100.
Here's the step-by-step explanation for converting 275% to a decimal:
Take the percentage value (275%) and divide it by 100.
275 ÷ 100 = 2.75
So, 275% as a decimal is 2.75.
It means that 275% is equal to 2.75 times the whole quantity.
For example, if you have 100 dollars and increase it by 275%, you will end up with 100 + (2.75 × 100) = 375 dollars.
Therefore, the 275% as a decimal number is equal to 2.75.
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Suppose you traveled 84 in 1.5h moving at the same speed, how many mi would you cover in 3 1/4? & can someone answer number 45 also?
A cab ride from the airport to your home costs $19.50. If you want to tip the cab driver close to 10 percent of the fare, how much should you tip?
$1
$2
$3
The tip for the cab is close to 10 percent is around $2.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A cab ride from the airport to your home costs $19.50.
Now, The tip given is 10% of the fare so,
= (10/100)×19.50.
= 0.1×19.50.
= 1.95.
So, The exact tip would be $1.95 which is approximately $2.
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100 envelopes cost $0.70 how much would it be for 250
If 100 envelopes cost $0.70 then it would cost $1.75 for 250 envelopes.
If 100 envelopes cost $0.70, we can set up a proportion to determine the cost of 250 envelopes:
100 envelopes / $0.70 = 250 envelopes / x
Cross-multiplying:
100 × x = 250 × $0.70
Simplifying:
100x = 175
Dividing both sides by 100:
x = 175 / 100
x = $1.75
Therefore, it would cost $1.75 for 250 envelopes.
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Which of the following inequalities is equivalent to -6 > x?
Which expression is undefined
A. -8÷(-8)
B. -8÷8
C. 0÷8
D. 8÷0
lisa wants to make at least $300.00 selling candy. Hard candy cost $3.00 per piece and chocolates cost cost $6.00 per piece. How many pieces of each type of candy could Lisa sell in order to make at least $300.00
Lisa can either sell 100 hard candies or 50 chocolate to make $300.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Lisa wants to make at least $300.00 selling candy. Hard candy cost $3.00 per piece and chocolates cost $6.00 per piece.
Establishing the equation for this problem.
Let,
Hard candy = x
Chocolate = y
Therefore,
3x+6y=300
To find y, let x=0
3(0)+6y =300
6y = 300
y = 50
Similarly,
To find x, put y=0
3x+6(0)=300
3x=300
x=100
Hence, Lisa can sell 100 hard candies or 50 chocolate to make $300.
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If events X and Y are independent, what must be true? Check all that apply.
3. P(Y | X) = P(Y) and 6. P(X | Y) = P(X)
How many different sums of money can be formed from penny and half a dollar?
4nm - 4m = 8. Solve for m
What is the minimum value for p=x-2y over the feasibility region defined by the constraints shown above?
x <= 8
y>= 0
y<= 3x+2
y<= -x+10
a. 8
b. -2
c. -16
d. -14
What is the reason for each step in the solution of the equation? −5(x−6)=10x
−5(x−6)=10x
−5x+30=10x
30=15x
2=x
Division Property of Equality
Commutative Property
Addition Property of Equality
Given
Distributive Property
a wallet that holds $25 contains the same number of $1 bills, $5 bills, and quarters. how many of each type of bill or coin does the wallet contain?
The number of each type of bill or coin the wallet contains is:
4
Step-by-step explanation:It is given that:
A wallet holds $ 25 in total.
Also, the number of $ 1 bills,$ 5 bills and qaurters are present in equal number in the wallet.
Let the number of each coin or bill in the wallet be: x
Also, we know that:
1 quarter= 1/4 dollar
i.e.
1 quarter= 0.25 dollar
Hence, we get:
x+5x+0.25x=25
i.e.
6.25 x=25
On dividing both side of the equation by 6.25 we get:
x=25/6.25
i.e.
x=4
Hence, the number of each kind of coin or bill are: 4
use multiples to write two fractions equivalent to 7/9
Answer:
[tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.
Step-by-step explanation:
We are given the following information in the question:
We are given the fraction:
[tex]\displaystyle\frac{7}{9}[/tex]
We have to find an equivalent fraction. This could be done by multiplying both the numerator and the denominator by the same number.
Equivalent fraction:
Multiplying both numerator and denominator by 5
[tex]\displaystyle\frac{7\times 5}{9\times 5} = \frac{35}{45}[/tex]
Multiplying both numerator and denominator by 7
[tex]\displaystyle\frac{7\times 7}{9\times 7} = \frac{49}{63}[/tex]
Hence, [tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.
The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle?
5
10
25
Can someone please help me
Factor completely
9-6a-24a^2
Answer:
3(3+4a)(1-2a)
Step-by-step explanation:
All the angles are measured in degrees, show that the triangle is isosceles.
The triangle is isosceles.
What is a triangle?A triangle is a polygon that has three vertices on each of its three sides. The angle that is created within the triangle is 180 degrees. It indicates that the sum of a triangle's interior angles is 180 degrees. This is a polygon with the fewest sides. At the end of the day, a triangle is characterized as a three-sided two-layered figure whose inside points are equivalent to 180°.
Given a triangle let the triangle be ΔABC
given angles (4x + 8), (5x + 2) and (6x - 10)
let ∠A = (4x + 8), ∠B = (5x + 2) and ∠C = (6x - 10)
we know that sum of angle of triangle is 180⁰
∠A + ∠B + ∠C = 180
4x + 8 + 5x + 2 + 6x - 10 = 180
15x = 180
x = 180/15 = 12
∠A = 4x + 8 = 4(12) + 8 = 56⁰
∠B = 5x + 2 = 5(12) + 2 = 62⁰
∠C = 6x - 10 = 6(12) - 10 = 62⁰
since ∠B = ∠C
it is the property of an isosceles triangle, An isosceles triangle is a triangle with any two sides that are the same length and angles on opposite sides that are the same size.
Hence the Given triangle is isosceles.
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Bethany's family can eat (13h + 6) hotdogs. Clark's family can eat (10h + 3) hotdogs. Which expression shows the difference between the number of hotdogs Bethany's family can eat and the number of hot dogs Clark's family can eat?
A.3h - 9
B.3h + 3
C.-3h + 9
D.-3h + 3
Suppose that hot dogs come in packs of 9 and buns come in packs of 12 . kareem bought the same number of hot dogs as buns. it was the least number of each for which this was possible.
36 is least number of each for which this was possible.
what is Least common multiple?The smallest positive integer that is divisible by both a and b is known as the least common multiple, lowest common multiple, or smallest common multiple of two integers, or lcm(a, b), in mathematics and number theory.
4 is the LCM of 2 and 4. To get the smallest multiple that is exactly divisible by 2 and 4, i.e. 4, we must first determine the multiples of 2 and 4 (multiples of 2 = 2, 4, 6, 8; multiples of 4 = 4, 8, 12, 16).
Given:
Hot dogs cam in pack of 9.
Buns came in pack of 12.
Now, to find least number of each bought the same number of hot dogs as buns.
So, LCM(9, 12)
9= 3x 3
12= 2 x2 x 3
Thus, LCM(9, 12) = 3 x 3 x 2 x 2 = 36
Hence, 36 is least number of each for which this was possible.
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Of 50 students surveyed, 19 said they had soda for breakfast. write a portion in fraction, decimal, percent