Answer:
The regular price of the balls is $8
Step-by-step explanation:
The sporting goods store sales promotion is as follows;
The price of the third ball after buying two balls at regular price = $1.00
The price of the number of balls Coach John pays for the balls he bought = $136
To buy 24 balls, we have;
2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1
Therefore;
The number of balls bought at regular price = The sum of the 2s = 16 balls
The number of balls bought for $1 = 24 - 16 = 8 balls
Let x represent the regular price of the balls, we have;
16 × x + 8 = 136
16·x = 138 - 8 = 128
x = 128/16 = 8
The regular price of the balls = x = $8.
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
Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4
Answer:
The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.
Step-by-step explanation:
The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.
To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:
y - (-3) = 4(x - 2)
Now, simplify:
y + 3 = 4x - 8
Next, bring all the terms to the left side of the equation to get the standard form:
4x - y = 8 - 3
Finally, simplify the constant term:
4x - y = 5.
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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.
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:
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
Show how you would simplify the following expressions. Show your work.
A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?
Answer:
Average speed is 15km/hStep-by-step explanation:
Step one:
given data:
total distance =7.5km
time taken= 30 min= 0.5 hours
we know that the average speed is the average distance divided by time taken
Step two:
mathematically expressed as
speed=distance/time
substituting we have
speed=7.5/0.5
speed=15km/hour
Hence the average speed is 15km/h
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
The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled
Answer:
C.
Step-by-step explanation:
X is the number miles driven so C. is the BEST answer choice.
Answer:
Its C
Step-by-step explanation:
PLS HELP ME!
You buy 3.17 pounds of peaches, 1.15 pounds of pears, and 2.26 pounds of grapes. What is your total bill?
Answer:
Step-by-step explanation:
just add
3.17
1.15
2.26
-------
7. 48 lbs
im pretty sure
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!
Select the missing property.
(9+3)v
Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property
Answer:
Associative property of addition
Step-by-step explanation:
yes
If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed
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'.
Help asap cuz idk what’s going on
Answer:
The answer is the first one or 9.5
Step-by-step explanation:
This is because you need to use a^2+b^2=c^2
Plug in 9 and 3
To get 81+9
To get 90
Now find the square root of 90
It is around 9.48
Which is closest to 9.5
Seema sells two cookers for Rs.2574 each. On one she gains 10% and on the other she loses 10%.Find her gain or loss percent in the whole transaction.
Answer:
18.18%
Step-by-step explanation:
Selling price of one coker = Rs.2574
If she loose 10% on one;
%loss = Cost price - Selliing price/cost price * 100
10 =Cp-2574/Cp * 100
10/100 = Cp-2574/Cp
0.1Cp = Cp-2574
0.1Cp - Cp = -2574
-0.9Cp = -2574
Cp = 2574/0.9
Cp = Rs. 2860
Amount lost = 2860-2574 = Rs. 286
If she gains 10% on the second
%loss =Sp-Cp/Cp * 100
10 = 2574-Cp /Cp * 100
10/100 = 2574-Cp /Cp
0.1Cp = 2574-Cp
1.1Cp = 2574
Cp = 2574/1.1
Cp = Rs. 2340
Amount gained = 2340-2574 = Rs. 234
Total Loss = Amount lost - Amount gained
Total loss = 286 - 234
Total loss = Rs. 52
Total loss % = 52/286 * 100
Total loss % = 5200/286
Total loss % = 18.18%
jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]
Answer:
asdfasdf
Step-by-step explanation:
Answer:
$1680
Step-by-step explanation:
1500=100%
100+12(interest)=112
112=1.12(multiplier)
1500×1.12=$1680
A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?
Answer:
34in. of snow = +50 snow passes
+34in. of snow = +50 snow passes
Step-by-step explanation:
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
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:
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.
When graphing inequalities, where can the solutions be found?
Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.
When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.
For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.
Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.
It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
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Helps me solve this problem please
Answer:
(1,1) and (-2,-11) are the correct solutions
Answer:
D. (1, 1) and (-2, -11)
Step-by-step explanation:
A's answers:
Coordinates: (0, -3) and (-1, -1)
Equations when they get solved:
4(0)-3=-3 (correct)
4(-1)-3=-1 (incorrect)
B's answers:
Coordinates: (-2, -5) and (2, 5)
Equations when they get solved:
4(-2)-3=-11 (incorrect)
4(2)-3=5 (correct)
C's answers:
Coordinates: (0, 3) and (3, 9)
Equations when they get solved:
4(0)-3=-3 (incorrect)
4(3)-3=9 (correct)
D's answers:
Coordinates: (1, 1) and (-2, -11)
Equations when they get solved:
4(1)-3=1 (correct)
4(-2)-3=-11 (correct)
-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
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.
What are the solutions?
| x1 = 10
X = ?
Answer:
10
Step-by-step explanation:
The X is 10
166 2/3 percent as a fraction
The fraction is 5000/3.
What is Percent?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.
Given:
166 2/3 percent as a fraction
Now, converting it into fraction
= 500/3 x 100
= 50000/3
Hence, the fraction is 5000/3
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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.
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what is 7-(2x+1)+4x simpilist form
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0PLEASE HELP 15 POINTS N BRAINLIEST
Answer:
OK don't worry we will help you get 15 points