First 6 terms are 5, 7, 9, 11, 13 and 15
Step-by-step explanation:
Step 1: Given terms in the sequence = 3 + 2x. Find the first 6 terms.a(1) = 3 + 2 × 1 = 3 + 2 = 5
a(2) = 3 + 2 × 2 = 3 + 4 = 7
a(3) = 3 + 2 × 3 = 3 + 6 = 9
a(4) = 3 + 2 × 4 = 3 + 8 = 11
a(5) = 3 + 2 × 5 = 3 + 10 = 13
a(6) = 3 + 2 × 6 = 3 + 12 = 15
There is a spinner with 9 equal areas, numbered 1 through 9. If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3?
Answer:
.
Step-by-step explanation:
The probability that the result is a multiple of 2 and a multiple of 3 is 1/9.
What is a spinner?A fidget spinner is a toy that consists of a ball bearing in the center of a multi-lobed flat structure made from metal or plastic designed to spin along its axis with pressure.
How to solve?Here,
Multiples of 3(3,6)
Multiples of 2(2,4,6,8)
Intersection (6)
Favorable outcome: 1
Total outcome: 9
The probability: 1/9
Learn more about Spinner:
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Which of the following questions describes the equation 4n = -24?
Answer:
n = -6
Step-by-step explanation:
Step 1: Divide both sides by 4
4n / 4 = -24 / 4
n = -6
Answer: n = -6
Write the expression in simplest form.
(-11/2 x + 3)-2(-11/4 x - 5/2)
Answer:
-(11 / 2x + 3) + (11x / 2) + 5
Step-by-step explanation:
I hope this helps!
What Are The Factors Of The Expression? -X2+2x+35
A. -1(X-5)(X+7)
B. (X-5)(X-7)
C. -1(X+5)(X-7)
B. (X+5)(X-7)
For this case we must factor the following expression:
[tex]-x ^ 2 + 2x + 35[/tex]
We take common factor -1, taking into account that [tex]- * - = +:[/tex]
[tex]-1 (x ^ 2-2x-35)[/tex]
We factor the expression within the parenthesis, for this we look for two numbers that, when multiplied, result in -35 and when added, result in -2. These numbers are -7 and +5.
[tex]-7 + 5 = -2\\-7 * 5 = -35[/tex]
Thus, the factored expression is:
[tex]((x-7) (x + 5))[/tex]
Finally we have:
[tex]- (x-7) (x + 5)[/tex]
Answer:
Option C
: In Ms. Perron’s class, 40% of the students are boys. There are 10 boys in the class. What is the total number of students in Ms. Perron’s class?
Solution:
In Ms. Perron’s class, 40% of the students are boys
There are 10 boys in the class
Let "x" be the total number of students in Perron class
From given,
40 % of total students are boys
Therefore,
40 % of x = 10
[tex]\frac{40}{100} \times x = 10\\\\40x = 1000\\\\x = 25[/tex]
Thus total number of students in Ms. Perron’s class is 25
Write eighteen hundredths as a decimal.
Answer: 0.18
Step-by-step explanation:
18 hundredths means that if you divide something into one hundred equal parts, 18 hundredths is 18 of those parts that you just divided up. Since 18 hundredths is 18 over one hundred, 18 hundredths as a Fraction is 18/100. If you divide 18 by one hundred you get 18 hundredths as a decimal which is 0.18.
Answer:
.18
Step-by-step explanation:
I am a g at math ,if you search how to write eigteen hundredths as a decimal it will say the same answer
Paul, Fiona and Pip share some sweets in the ratio 4:1:1. Paul gets 48 sweets. How many did Pip get?
Answer:
12
Step-by-step explanation:
4:1:1, from the ratio, you know that there are 6 in total (4+1+1)
so set up a proportion
(4/6) = (48/x)
so... (6 x 48) / 4 = x
x = 72, the total
now repeat to find the value for Pip
(1/6) = (x/72)
72 / 6 = 12
Final answer:
Paul, Fiona, and Pip share sweets in a 4:1:1 ratio. Paul's 4 parts amount to 48 sweets, so each part is 12 sweets. Consequently, Pip receives 12 sweets.
Explanation:
The student's question is asking how many sweets Pip would get if Paul, Fiona, and Pip share some sweets in the ratio 4:1:1 and Paul gets 48 sweets. To solve this, we'll need to break down the problem and figure out how many parts the total number of sweets is being divided into. Then, we'll calculate the number of sweets per part using the information given.
Since the ratio is 4:1:1, there are a total of 4 + 1 + 1 = 6 parts. Paul's share is 4 parts, and since Paul gets 48 sweets, each part is worth 48 sweets ÷ 4 parts = 12 sweets.
Both Fiona and Pip get 1 part each. So, since each part equals 12 sweets, Pip gets 12 sweets.
PLEASE HELP NEED THIS TO PASS
The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
[tex]$f(x)=x^{2}+15[/tex] – – – – (1)
[tex]f(x)=64[/tex] – – – – (2)
To find the solutions to f(x) = 64.
Equate equation (1) and (2), we get
[tex]x^2+15=64[/tex]
Subtract 15 from both sides of the equation.
[tex]x^2+15-15=64-15[/tex]
[tex]x^2=49[/tex]
[tex]x^2=7^2[/tex]
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
1. Moesha needs $79 for a class trip. 59
She already has $22 and she can earn
the rest by babysitting for 8 hours.
If h represents her hourly earnings,
which of the following equations can
be solved to find Moesha's hourly
earnings? Select all that apply.
Answer: 79=8h +22
Step-by-step explanation: 79 total needed 8h equals 8 times her hourly earning plus 22 what she already haves should equal 79.
Final answer:
To find Moesha's hourly earnings for babysitting, we subtract the amount she already has ($22) from the total needed ($79) to calculate the amount she needs to earn ($57), and divide this by the number of hours she will babysit (8). This gives us the equation 8h = $57, which we solve by dividing both sides by 8, leading us to find that Moesha earns $7.125 per hour.
Explanation:
Moesha needs $79 for a class trip and already has $22. She will earn the remaining amount by babysitting for 8 hours. If we use h to represent Moesha's hourly earnings, we need to set up an equation that when solved, will find her hourly earnings. The total amount Moesha needs to earn from babysitting is $79 - $22, which equals $57. Since she is babysitting for 8 hours, we divide the total amount she needs to earn by the number of hours she will work: $57 ÷ 8 hours.
Putting this into an equation, we come up with 8h = $57. To find her hourly earnings, h, we divide both sides of the equation by 8, giving us h = $7.125 per hour. Therefore, Moesha will earn $7.125 for each hour of babysitting she does.
HELP WORTH 25 POINTS question:
The diagram can be represented by the equation 25=2+6x. Explain where you can see the 6 in the diagram
the 6 is the 6 x's that is in the diagram
Answer:
The 6 is the 6x
Step-by-step explanation:
EQUATION: 25=2+6x, in the diagram there are 7 total boxes, one with a 2 in it, and the other 6 have x's.
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the probability that the card is not yellow?
The probability that the card is not yellow is [tex]\frac{5}{9}[/tex]
Solution:
The probability of an event is given as:
[tex]Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}[/tex]
From given,
A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards
Total number of possible outcomes = 8 + 8 + 2 = 18
Favorable outcome = card is not yellow
Favorable outcome = card is blue or green = 8 + 2 = 10
Therefore,
[tex]Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}[/tex]
Thus the probability that the card is not yellow is 5/9
The probability that the chosen card is not yellow = [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Step 1 :
Given,
Number of blue cards in the box = 8
Number of yellow cards in the box = 8
Number of green cards in the box = 2
Hence total number of cards = 18
We need to find the probability that the chosen card is not yellow.
Step 2 :
Probability that the selected card is yellow = [tex]\frac{8}{18}[/tex] = [tex]\frac{4}{9}[/tex] [since the favorable outcome = 8 and total outcome = 18]
Hence the probability of chosen card not being yellow = 1 - [tex]\frac{4}{9}[/tex] = [tex]\frac{5}{9}[/tex]
Step 3 :
Answer :
The probability of chosen card not being yellow = [tex]\frac{5}{9}[/tex]
Which graph represents the solution to the inequality 11 Less-than-or-equal-to y - 43?
A number line going from 50 to 60. A solid circle is at 54. Everything to the left of the circle is shaded.
A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.
A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the left of the circle is shaded.
A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the right of the circle is shaded.
help fast plz.
Answer:
A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.
Step-by-step explanation:
we have the inequality
[tex]11\leq y-43[/tex]
solve for y
Adds 43 both sides
[tex]11+43\leq y[/tex]
[tex]54\leq y[/tex]
Rewrite
[tex]y\geq 54[/tex]
In a number line the solution is the shaded area at right of y=54 (closed circle)
therefore
A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.
Which is a rational number between -12 and -11.25?
A.)-12.45
B.)-11.45
C.)11.45
D.)not given
Before tax, and miscellaneous charges, Jason's cell phone bill is $100 per month plus $0.15 for every text message that he sends or receives. Which expression represents his cell phone bill for any given month?
A) 100 + 15t
B) 100 + 0.15t
C) 0.15 + 100t
D) 100t - 0.15
Answer:
b
Step-by-step explanation:
100 dollars month
100
plus
100+
0.15 per text
100+15t
How do I solve for what is sin A for the triangle shown
Option a:
sin A for the triangle is [tex]\frac{3}{5}[/tex].
Solution:
The given triangle is a right triangle.
The adjacent side to angle A is AC.
The opposite side to angle A is BC.
Hypotenuse is AB.
AC = 8, BC = 6 and AB = 10.
Using trigonometric ratio formulas,
[tex]$\sin \theta=\frac{\text { Opposite side }}{\text { Hypotenuse }}[/tex]
[tex]$\sin A=\frac{BC}{AB}[/tex]
[tex]$\sin A=\frac{6}{10}[/tex]
Divide both numerator and denominator by 2, we get
[tex]$\sin A=\frac{6\div2}{10\div 2}[/tex]
[tex]$\sin A=\frac{3}{5}[/tex]
Hence sin A for the triangle is [tex]\frac{3}{5}[/tex].
Option a is the correct answer.
The radius of a circle is 8 kilometers. What is the area of a sector bounded by a 180 degree arc
Answer:
100.530964915 or 32π
Step-by-step explanation:
Area=πr^2
A=π8^2
A=π(64)
A=~201.062
divide by 2
answer is 100.530964915, not sure how you should round, but 100.5 is probably correct, or the full answer.
edit: i see that there is a pi symbol that u can use in ur answer, the correct answer would be 32π
please mark brainliest if correct, you get points for marking an answer as brainliest :)
The GFC of two numbers p and a is 5. Can you find the GFC of 6p and 6q?
Answer: 30
Step-by-step explanation:
Describe the Interquartile Range of the data below.
11, 13, 16, 17, 8, 10, 14, 14, 17, 14
a. median: _____
b. Interquartile range: _____
Answer:
median 8, interquartile range 13
Step-by-step explanation:
I nid help to solve dis
Answer:
[tex] y \: = \binom{ + }{ - } 8x[/tex]
Step-by-step explanation:
Working is shown in the picture.
solve the question of what is 2 + 3
Answer:
it's 5
Step-by-step explanation:
[tex]2 + 3 = 5[/tex]
5
Step-by-step explanation:
2 + 3 = 5
Total of answer is 5
determine area under the standard normal curve given the z score, z less than 1.25
Answer:
0.8944
Step-by-step explanation:
Use a calculator or table.
Using a z-score table:
P(z < 1.25) = 0.8944
which equation represents the graphed function?
Answer:
[tex]y = 2x - 2[/tex]
Step-by-step explanation:
You have not attached the graph.
Assuming the graph function is the one shown in the attachment.
The equation is given by
[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]
where a=1 is the x-intercept and b=-2 is the y-intercept.
We substitute to get:
[tex] \frac{x}{1} + \frac{y}{ - 2} = 1[/tex]
[tex]2x - y = - 2[/tex]
or
[tex]y = 2x - 2[/tex]
7 2/3 is the product of a number x and 2 1/8.
Write the word sentence as an equation.
Answer:
x+2 1/8 = 7 2/3
Step-by-step explanation:
You write it the way it is said.
write the statement for each of the following expressions (x+3)×4
Answer:
4x + 12
Step-by-step explanation:
(x+3)×4
(x×4) + (3×4)
4x + 12
Answer:
4x + 12
Step-by-step explanation:
(x+3)×4
(x×4) + (3×4)
4x + 12
Solve this question
giving 5 points
Answer:
tossing two coins once
Step-by-step explanation:
i calculated.oh and my battery's About to die and i need to write the equation so if it cuts something off, it died.Ok so since it goes two ways and has headS And tai
Would someone help me????
Compare and contrast the following pairs of quadrilaterals based upon properties of their sides and angles. Describe the nature of their relationship, i.e., a square is a rectangle, but not all rectangles and squares.
Parallelograms and rectangles
Sides:
Angles:
Relationship:
Parallelograms and squares
Sides:
Angles:
Relationship:
Answer:
Parallelograms and Rectangles
Sides: Both have 4
Angles: Both have 4 angles but a rectangle has right angles.
Relationship: A rectangle is a parallelogram but a parallelogram is not a rectangle.
Parallelograms and Squares
Sides: Both have 4
Angles: Both have 4 angles yet a square has 4 right angles
Relationship: A square is a parallelogram however a parallelogram is not a square.
Final answer:
A detailed explanation comparing properties of parallelograms and rectangles, as well as parallelograms and squares based on sides and angles.
Explanation:
Parallelograms and rectangles
Sides: In rectangles, opposite sides are equal, while in parallelograms, opposite sides are equal.
Angles: Rectangles have four right angles, whereas parallelograms do not necessarily have right angles.
Relationship: All rectangles are parallelograms, but not all parallelograms are rectangles.
Parallelograms and squares
Sides: In squares, all sides are equal, while in parallelograms, opposite sides are equal.
Angles: Squares have four right angles, whereas parallelograms do not necessarily have right angles.
Relationship: All squares are parallelograms, but not all parallelograms are squares.
Simplify -12x + 5x. answer
-12x + 5x
-7x
Hope this helps! ;)
Answer:
-7x
Step-by-step explanation:
If you add 5 to the -12, you get -7. All you have to do is put an x next to your answer.
Solve this equation for x in terms of y and z
7x - 5y - 2z = 4
What is he value of x when y = 5 and z = 3
Answer:
x = 5
Step-by-step explanation:
Step 1: Set y to 5 and z to 3
7x - 5(5) - 2(3) = 4
7x - 25 - 6 = 4
7x - 31 = 4
Step 2: Add 31 to both sides
7x - 31 + 31 = 4 + 31
7x = 35
Step 3: Divide both sides by 7
7x / 7 = 35 / 7
x = 5
Answer: x = 5
Jeremiah created the ratio 5:13 from the table.what is he comparing
Find a solution of the linear inequality. y > 4x - 5
O (3,0)
O (3, 4)
O (2, 1)
O (1,1)
Answer:
(1,1)
Step-by-step explanation:
y > 4x - 5
We try the points in the inequality and see if they are true
(3,0)
0 > 4*3 - 5
0 > 12-5
0>7
False
(3,4)
4 > 4*3 - 5
4 > 12-5
4>7
False
(2,1)
1 > 4*2 - 5
1 > 8-5
0>3
False
(1,1)
1 > 4*1 - 5
0 > 4-5
0>-1
True