Answer:
$13.80
Step-by-step explanation:
Divide $16.12 by 7 which equals 2.30, then multiply 2.30 by 6 to get ^^
n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.
Answer:
(2n + 1)(n + 3) + (2n + 1)(n - 2)
= (2n + 1)(n + 3 + n - 2)
= (2n + 1)2n + 1)
= 4n² + 4n + 1
= 2(2n² + 2n) + 1
can see 2(2n² + 2n) is a multiple of 2 but 1 isnt a multiple of 2
=> 2(2n² + 2n) + 1 is not a multiple of 2
=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2
Step-by-step explanation:
GameStop is selling video games for $32 each. Used video games sell for $12 each. David is buying 3 new video games and x used video games. Which equation can be used to find y, the total price David must pay in dollars?
Answer:
12x plus 3x equals $32
Step-by-step explanation:
I just wrote an equation that best fits the problem
Find an explicit rule for the nth term of the sequence.
-4, -8, -16, -32, ...
A) an = -4 • 2n - 1
B) an = 2 • -4n + 1
C) an = 2 • -4n
D) an = -4 • 2n
Answer:
An explicit rule for the nth term of the sequence will be:
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Thus, option (A) is true.
Step-by-step explanation:
Given the sequence
[tex]-4, -8, -16, -32, ...[/tex]
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]
As the ratio 'r' is the same.
so
[tex]r=2[/tex]
as
[tex]a_1=-4[/tex]
Hence, the nth term of the sequence will be:
[tex]a_n=a_0\cdot r^{n-1}[/tex]
substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Therefore, an explicit rule for the nth term of the sequence will be:
[tex]a_n=-4\cdot \:2^{n-1}[/tex]
Thus, option (A) is true.
Which of the following statements best describes the value of the expression 5x – 4 when x = 1? A. The result is a fraction. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.
The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.
Which of the statements best describes the value of the expression 5x – 4 when x = 1?It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.
Hence, when x = 1;
5x - 4 = 5(1) - 4.
= 5 - 4
= 1.
Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.
Therefore, Choice D is correct.
Read more on prime numbers;
https://brainly.com/question/145452
#SPJ1
Which equation best describes a relationship between x and y in the table below?
Answer:
y = [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y = mx + b , "b" is y-intercept with coordinates (0, b)
(0, 5)
(6, 7)
m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x + 5
what is 7-(2x+1)+4x simpilist form
write a conditional statement from each given statement.
Congruent segments have equal measures.
Answer:
Our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
Step-by-step explanation:
When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.
We need to recognize the hypothesis - conditions - and the conclusion - result - in the sentence. Then we should mention it as an 'if', and 'then' statement.In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.
Therefore, we conclude that our conditional statement should be written as:
'If they are congruent segments, then they have equal measures'.
Could someone please answer b?
Answer:
b. The total sum of the money was $330
Step-by-step explanation:
#b
∵ A sum of money is divided among John, Paul, and Robert
∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5
→ Multiply the ratio of each share by x
∴ The share of John = 2x
∴ The share of Paul = 4x
∴ The share of Robert = 5x
→ Find their sum
∴ The sum of the money = 2x + 4x + 5x = 11x
∵ The sum of the money is divided equally among them
→ That means dividing the sum by 3 to find the share of every one
∵ The sum of the money = 11x
∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x
∴ The share of John is larger by $50
→ That means the difference between his shares is 50
∵ [tex]\frac{11}{3}[/tex]x - 2x = 50
∴ [tex]\frac{5}{3}[/tex]x = 50
→ Divide both sides by [tex]\frac{5}{3}[/tex]
∴ x = 30
→ Substitute it in the sum of the money to find it
∵ The sum of the money = 11(30)
∴ The sum of the money = $330
∴ The total sum of the money is $330
what is this^
a)rectangular prism
b)pentagonal prism
c)rectangular pyramid
d)hexagonal prism
Answer:
A) rectangular prism
Explanation:
The base is a rectangle, not a pentagon nor hexagon. So B and D are out.
The difference between a prism and a pyramid is the shape.
Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.
There is no pointy top on the object, so it is a rectangular prism.
Add 19 to ‘a’ and divide the sum by 5, you will get 8
Answer:
a = 21
Step-by-step explanation:
Given
[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )
a + 19 = 40 ( subtract 19 from both sides )
a = 21
what the slope of(-7,-4) (2,-7)
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, -4)
Point (2, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7+4}{2+7}[/tex]Add: [tex]m=\frac{-3}{9}[/tex]Simplify: [tex]m=\frac{-1}{3}[/tex]-3+|n-2|>5
How would you solve this?
Answer:
3n-6>5
3n>5+6
3n>11
n>11/3
n>3.6
Answer:
n < 1/3
Step-by-step explanation:
-3(n-2) > 5
-3n + 6 > 5
-3n > 5 - 6
-3n > -1
n > -1/-3 (flip the sign of the inequality because you divided by a negative number)
Hence, n < 1/3 OR n < 0.333
3 − 3k + 7k = 5b[tex]3 − 3k + 7k = 5b[/tex]
Answer:
k=-14
Step-by-step explanation:
Please answer this question it is for Math!
Answer:do you mean plotting a graph
Step-by-step explanation:
5x – 3y = -21
2x - 9y = 54
Answer:
I'm confused
Step-by-step explanation:
What am I suposed to do?
What are the solutions?
| x1 = 10
X = ?
Answer:
10
Step-by-step explanation:
The X is 10
how many dimes equal the value of 6 quarters.show you step
Answer:
15 dimes
Step-by-step explanation:
6 quarter = 1.50$
150 / 10 = x amount of dimes
X amount of dimes = 150$
15 dimes = 1.50$
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Answer:
6 quarters is in total 1.50, so youll need a total of 15 dimes in order to have the same amount of 6 quarters
Step-by-step explanation:
Plz help me with this question
10 points
9514 1404 393
Answer:
The sequence 18
Step-by-step explanation:
After Nolan brings down a zero, the dividend Nolan will be 20, the same one he started with. So, he will get the same result he has gotten so far: the first quotient digit is 1 and the second quotient digit is 8, resulting in a new dividend of 20 (after the 0 is brought down).
The digits 18 will repeat until Nolan gets tired.
The 4th term of a sequence is 108. Each term after the first is three times the previous term. Write an expression that represents all 4 terms. Write an equation that represents the 4th term. What are the 4 numbers?
Answer:
First 4 terms are a, 3a, 3^2 a and 3^3 a.
The numbers are:
4, 12, 36, 108.
Step-by-step explanation:
This is a geometric sequence and we can write it as:
a, ar, ar^2, ar^3 <---- the first 4 terms.
Here the common ratio r = 3 and the 4th term is 108 so:
a(3)^3 = 108
So the first term a = 108 / 3^3
= 108/27
= 4.
So the second number = 3*4 = 12 and 3rd is 12*3 = 36.
what is the slope of the line thru (-9,6) and (-6,-9) ??
Answer:
-5
Step-by-step explanation:
Answer:
−5
Step-by-step explanation:
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
Answer:
2/7 or about 29%
Step-by-step explanation:
2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).
Answer:
2/7
Step-by-step explanation:
There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7
Which values of X are solutions to the inequality
Answer:
The third answer choice
Step-by-step explanation:
-3(x+2) < 5x+10
-3x-6 < 5x+10
-3x-5x < 10+16
-8x < 16
x < -2
Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
worth of apples left. Write and solve an equation to find the cost of the apples
per pound to the nearest dollar. How much did the apples cost per pound?
please answer quick
Answer:
$2 per poundStep-by-step explanation:
Let the cost of apples be x
Then we have equation:
(9 - 1.5)x = 157.5x = 15x = 15/7.5x = 2Cost of apple: $2 per pound
someone please help ?!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?
Answer:
12.
Step-by-step explanation:
to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.
12. In New Mexico, the state sales tax rate is 5.125%. If the price of a digital
camera sold in New Mexico is $294.35 including sales tax, what was the list price
of the digital camera? *
Help me lol I don’t wanna fail .
Answer:
15.08 if u round but it's really 15.079
what type of number is -3? A.rational. B. irrational C. whole number D. natural
Answer:
whole number
Step-by-step explanation:
its not a decimal and its not a fraction
Find the value of k given that both points lie on a line passing through the origin.
(k,−24) and (5,40)
PLEASE HELP ASAP if you do thank u and have a blessed day
Answer:
[tex]k=-3[/tex]
Step-by-step explanation:
Since the line passes through the origin, it must be a proportional/direct variation equation.
Direct variation equations have the form:
[tex]y=ax[/tex]
Where a is the constant of proportionality.
Let’s solve for a. We know that when x=5, y=40. So:
[tex]40=5a[/tex]
Divide both sides by 5:
[tex]a=8[/tex]
Therefore, our equation is:
[tex]y=8x[/tex]
We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:
[tex]-24=8k[/tex]
Divide both sides by 8:
[tex]k=-3[/tex]
Hence, the value of k is -3.
Explain why an absolute value can never be a negative
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative.
what is the equation of the line in slope intercept form
Answer:
y=2/7x+-9
Step-by-step explanation:
I need to go soon
Answer:
y=2/7x-9
Step-by-step explanation:
Goes to the right by 7 units, and goes up by two so 2/7. Line intercepts at -9.
I'm more than 9 dozen and less than the number of days in 4 months. The sum of my digits is 11.
Answer: 92 or 119
in 4 months, 2 months with 30 days per month, 2 months with 31 days per month
suppose: the number to find is X
have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122
if X is a number has 2 digits => X is xy
=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]
=> xy = 92
if X is a number has 3 digits => X is abc
we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]
because 100 ≤ abc < 122 => a = 1; b = 0 or 1
+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)
+) if a = 1, b = 1 => c = 9
=> abc = 119
=> X is 92 or 119
Step-by-step explanation: