Answer:
See below
Step-by-step explanation:
3 and 5 have a LCM of 15 which is 3 * 5
A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?
Using the Fundamental Counting Theorem, it is found that the number of outcomes possible in this scenario is given by:
D. 240.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
The number of options for each selection are given as follows:
[tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 2[/tex]
Hence the number of outcomes is given by:
N = 6 x 4 x 5 x 2 = 240.
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How many four-digit odd numbers less than 6000 can be formed using the digits 2, 3, 4, 5, 6, and 8?
Answer:
288
Step-by-step explanation:
First position choice: 4 numbers
Second 6 numbers
Third 6
Fourth 6
TOTAL 4 digit numbers 4 * 6 * 6 * 6 = 864 combos
2 out of 6 of these will end in 3 or 5 (thus making an odd number)
864 * 2/6 = 288 such numbers
A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?
8
9
10
12
Answer:
9
Step-by-step explanation:
What is the quotient startfraction negative 8 a superscript 8 baseline b superscript negative 2 baseline over 10 a superscript negative 4 baseline b superscript negative 10 baseline endfraction in simplified form? assume a not-equals 0, b not-equals 0.
The quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).
Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.
In the question, we are given an exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) and are asked to find the quotient of it.
To find the quotient, we will try to simplify the equation using the laws of exponents in the following way:-
(-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰),
= (-4/5)(a⁽⁸ ⁻ ⁽⁻⁴⁾⁾b⁽⁻² ⁻ ⁽⁻¹⁰⁾⁾) {Using the law of exponent: [tex]\frac{x^{a} }{x^{b} } =x^{(a-b)}[/tex] }
= (-4/5)(a¹²b⁸).
Therefore, the quotient for the given exponential expression (-8a⁸b⁻²)/(10a⁻⁴b⁻¹⁰) is (-4/5)(a¹²b⁸).
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What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
c = 68 m
Step-by-step explanation:
Pythagorean theorem:To find the hypotenuse 'c' use Pythagorean theorem
hypotenuse² = base ² + altitude²
c² = 60² + 32²
= 3600 + 1024
= 4624
[tex]\sf c=\sqrt{4624}\\\\ c= \sqrt{2*2*2*2*17*17}=2*2*17\\\\\boxed{\bf c = 68 \ m }[/tex]
The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square bas-
is x units.
Which expression represents the volume of the prism, in cubic units?
x³ +9
x³ + 3x²
x³ + 3x + 3
x³ + 6x² + 9x
Answer:
College dropout is the greatest album of all-time
$9,500 is invested in an account earning 9.1% interest (APR), compounded
quarterly. Write a function showing the value of the account after t years, where t
annual growth rate can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
growth per year (APY), to the nearest hundredth of a percent.
Answer:
$100.5000
Step-by-step explanation:
becuse $9,500 is fived and it got it
The table lists the average monthly cost to workers for family health insurance for various years.
a) Use a graphing calculator to fit a regression line to the data.
b) Predict the average monthly cost to workers for family health insurance in 2021, and compare the value with $510.37, which
is obtained using the points (1,338) and (4,385).
c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely.
Answer:
5 dollars :)
Step-by-step explanation:
ig
How much 100% active ingredient powder would you need to add to 4 mL
of multivitamin powder that is 20% active ingredient powder in order to
strengthen the mixture to 50% active ingredient powder?
We need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder
How to calculate the amount of active ingredient?The amount of each volume m = CV where
C = concentration and V = volumeThe amount of 50 % mixture, m = amount of 100 % powder + amount of 20 % powder.
M = m + m'
CV = C'V' + C"V" where
C = 50% concentration = 0.5, V = 50 % Volume, C' = 100 % concentration = 1, V' = 100 % volume, C" = 20 % concentration = 0.2 and V" = 20 % volume = 4 mLSo, CV = C'V' + C"V"
0.5V = 1 × V' + 0.2 × 4
0.5V = V' + 0.8 (1)
Also, we have that the total volume V = V' + V"
V = V' + 4 (2)
Substituting equation (2)into (1), we have
0.5V = V' + 0.8
0.5(V' + 4) = V' + 0.8
0.5V' + 0.5 × 4 = V' + 0.8
0.5V' + 2 = V' + 0.8
0.5V' - V' = 0.8 - 2
-0.5V' = -1.2
V' = -1.2/-0.5
V' = 2.4 mL
So, we need to add 2.4 mL of 100 % active ingredient powder to strengthen the mixture to 50% active ingredient powder
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You are walking directly away from your house.
You are 5 miles away from your house when
you start walking, so you can determine your
distance from your house by adding 5 to the
number of miles you have walked. In the
equation below, a represents the number of
miles you have walked, and y represents your
distance from home in miles.
The relationship between these two variables
can be expressed by the following equation:
y = x + 5
Identify the dependent and independent
variables.
Your distance
from home
Number of
miles you
walk
Dependent
variable
Independent
variable
Answer:
dependent: your distance from home
independent: number of miles you walk
Step-by-step explanation:
lmk if you want an explanation
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.
What is Supplementary angle?When two angles are said to be supplementary angles if their sum is 180 degrees.
A triangle is shown with its exterior angles.
The interior angles of the triangle are angles 2, 3, 5.
The exterior angle at angle 2 is angle 1.
The exterior angle at angle 3 is angle 4.
The exterior angle at angle 5 is angle 6.
We know that the sum of interior and exterior angle of the triangle is 180 degrees.
∠1 + ∠2 = 180°
∠3 + ∠4 = 180°
∠5 + ∠6 = 180°
Then the correct option is C.
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A population can be divided into two subgroups that occur with probabilities 60% and 40%, respectively. An event A occurs 30% of the time in the first subgroup and 50% of the time in the second subgroup. What is the unconditional probability of the event A, regardless of which subgroup it comes from
The unconditional probability of the event A, regardless of which subgroup it comes from is 38%
How to determine the probability?Let the events be represented as:
A ⇒ The event A happeningB ⇒ First subgroupC ⇒ Second subgroupSo, we have:
P(B) = 60%
P(C) = 40%
P(A | B) = 30%
P(A | C) = 50%
The probability is then calculated as:
P = P(A | B) * P(B) + P(A | C) * P(C)
Substitute known values
P = 30% * 60% + 50% * 40%
Evaluate the product
P = 38%
Hence, the probability is 38%
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Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
Answer:
Inequality: 64+C[tex]\geq 120\\\\[/tex]
- 64. -64
We subtract to isolate variable
Solution: [tex]C\geq 56[/tex]
Use the graphing calculator to graph the function f(x)=√x Which list contains three points that lie on the graph of
the function?
0(83) (42) (-11)
O (11 (42) (9. 3)
Answer:
The last option that starts with (1,-1)
Age of father is 13 times the age of his son , it will be only five times after four years find the present age of the father
Answer:26
Step-by-step explanation:
How do I solve this?
Answer:
x = 4
Step-by-step explanation:
The figure in the picture is a parallelogram. In parallelograms diagonals bisect each other. That means that they divide each other in half. That means that 6x + 1 is the same as 4x + 9.
6x + 1 = 4x + 9
2x + 1 = 9
2x = 8
x = 4
The gravitational force on a body falling towards the earth is directly proportional to the
mass of the body. The gravitational force on a body of mass 2 kilograms is 19.6 Newtons.
A. Write a direct variation equation relating the mass, y, and the gravitational force in
Newtons, y, on the falling body
The equation would be y = kx with k being a constant.
Direct variationAssuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.
Mathematically,
y = kx where k = constant.
If y = 19.6 Newtons and x = 2 kg, then
k = y/x = 19.6/2 = 9.8.
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What is the value of the blue dot?
Answer:
17
Step-by-step explanation:
Solution
The distance between each marker is 2. So going upwards 9+2 = 11
11 + 2 = 13
13 + 2 = 15 But we still have 1 more space to go.
15 + 2 = 17
Isabella has a dozen apples of the same size and a dozen
watermelons of the same size. Isabella uses her juicer to extract 15
ounces of watermelon juice from 3 watermelons and 5 ounces of
apple juice from 9 apples. She makes a watermelon-apple juice
blend from an equal number of watermelons and apples. What
percent of the blend is watermelon juice?
90 per cent of the blend is watermelon juice.
Given that, Isabella has a dozen apples of the same size and a dozen watermelons of the same size.
Isabella uses her juicer to extract 15 ounces of watermelon juice from 3 watermelons and 5 ounces of apple juice from 9 apples.
We need to find what per cent of the blend is watermelon juice.
What is per cent?The percentage is a relative value indicating the hundredth part of any quantity. One per cent (symbolized 1%) is the hundredth part; thus, 100 per cent represents the entirety and 200 per cent specifies twice the given quantity.
Given that, she makes a watermelon-apple juice blend from an equal number of watermelons and apples.
So if she takes 9 apples, she can extract 5 ounces of juice.
By taking the same number of watermelons, that is 9 she can extract 15×3=45 ounces of juice.
Per cent of watermelon juice in the blend=45/50 ×100= 90%
Therefore, 90 per cent of the blend is watermelon juice.
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For what values of x does 25× - 5ײ-3?
O x = -3, x = 1
O x = -1, x = 3
3
0 X=-²2/₁X-2
Ox
3
O x= -2, x=-2/
Answer:
X = 3, -1; B
Step-by-step explanation:
Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5 cancels. So 2x = x^2 -3, which can be solved using factoring:
x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1
The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given that the equation is 25ˣ = 5ˣ²⁻³.
To solve the equation, take logs on both sides, we get,
x log(25) = (x²- 3)log5
2x log 5 = (x²- 3) log5
2x = x²-3
x²- 2x -3 = 0
Now, factorize the quadratic equation,
we get,
x² - 3x + x - 3 = 0
x(x- 3) + 1(x - 3) = 0
x = 3 or -1.
Therefore, x = 3 or x = -1.
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HELP PLEASE! (will be marking brainliest) What is the measure of FJG?
A. 95
B. 100
C. 105
D. 115
Answer:
105
Step-by-step explanation:
Angles HJG and HJG form a straight line so they add to 180
< HJG + < FJG = 180
75 + <FJG = 180
<FJG = 180-75
<FJG = 105
Answer:
C) 105
Step-by-step explanation:
HJG and KJF are vertical angles so they both equal 75 degrees.
A line is 180 degrees so 180-75=105 so 105 = is FJG
find the area occupied by the base of a cylindrical bowl if the base is 9 cm?
Answer:
is it radius or diameter?
Help Me I'm So Confused I'm In 5th Grade
By the way, I'm not in high school
Answer:
The answer is the second choice: 2, 3, 6, 13, 16.
Step-by-step explanation:
Which set of numbers that has an average of 8. To find the mean, which is the same as average, we have to add the number and divide by how many numbers there are. Let's check the first set of numbers:
3+5+7+8+12=35. 35/5=7. So, we can cross out the first choice.
Let's check the second one:
2+3+6+13+16=40. 40/5=8.
The answer is the second choice: 2, 3, 6, 13, 16.
Hope this helps!
If not, I am sorry.
Answer:
Its B
Step-by-step explanation:
If you add up all the numbers and divide by the number of numbers their is your answer
On a number line, 6.3 would be located ______. Choose all answers that make a true statement.
6.3
《--|----|----|----|----|----|----|----|----|----|--》
A. between 6.2 and 6.4
B. to the left of 6.42
C. to the right of 6.45
D. to the right of 6.5
Answer:
A).
Step-by-step explanation:
The numbers should be in consecutive order e.g. - 6.2 6.3 6.4
Question 20 The sports budget for cricket, football, and netball was divided in the ratio 5: 3:2, respectively. The total sports budget is $1.200,000. How much money will netball receive? A. B. C. D. + O A OB O C O D $120,000 $240,000 $360,000 $600,000 Question 20 The sports budget for cricket , football , and netball was divided in the ratio 5 : 3 : 2 , respectively . The total sports budget is $ 1.200,000 . How much money will netball receive ? A. B. C. D. + O A OB O C O D $ 120,000 $ 240,000 $ 360,000 $ 600,000
Using proportions, it is found that the amount that netball will receive is of:
B. $240,000
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Due to the ratios, the proportion of funding that is destined to netball is given by:
[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]
Hence, out of $1.200,000, the amount destined to netball is:
A = 0.2 x $1.200,000 = $240,000.
Which means that option B is correct.
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How do u calculate pythagoras therorem
Answer:
a^2+b^2=c^2
Step-by-step explanation:
You can apply this formula to any quadratic equation.
The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.
Take a look at this triangle labeled, a, b, c. (attachment)
Side a and b are called the legs. The largest side, c is called the hypotenuse.
In order to find a side, we have to use the formula…
a^2 + b^2 = c^2Let’s do an example.
Consider the following triangle.
(attachment)
We want to find side c, which is actually the hypotenuse as it is unknown.
In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.
[Math Processing Error]
What does 13=c mean? It means that the missing side, c, from the triangle above is 13.
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow. Which inequality correctly compares the temperatures of the three cities?
Which Answer-
A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature
B.
Bangkok's temperature < Moscow's temperature < Cape Town's temperature
C.
Bangkok's temperature > Moscow's temperature > Cape Town's temperature
D.
Bangkok's temperature > Cape Town's temperature > Moscow's temperature
The correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that:-
In January, Bangkok is hotter than Cape Town while Cape Town is hotter than Moscow.We have the data from the question that the temperature of Bangkok is hotter than cape town.
Bangkok > Cape town
And the temperature of Cape town is hotter than Moscow.
Cape town > Moscow
Now for both the statements, the inequality will be given as:-
Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
Therefore the correct answer is option A which is A.Bangkok's temperature < Cape Town's temperature < Moscow's temperature.
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A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza. Chee purchased a membership to this pizza shop. How much would Chee have to pay the pizza shop if she bought 12 slices of pizza this month? What would be the monthly cost for x slices of pizza?
Monthly cost with 12 slices:
Monthly cost with x slices
need answer quickly
The Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The membership costs $20 per month and members get a discounted price of $1.25 per slice of pizza.
Cost for 12 slices = 12×1.25 = $15
Total cost = 20 + 15 = $35 (for this month if she bought 12 slices of pizza)
The monthly cost for x slices of pizza:
= 1.25x + 20
x is the number of slices
Thus, the Chee has to pay $35 to the pizza shop if she bought 12 slices of pizza this month and for x slices, the cost would be ($1.25x + 20)
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Question
Ahmet borrows $700 and is charged compound interest at 15% per year. How much will he have to pay back in total after 6
years?
Give your answer to two decimal places.
Answer:
I did 700 - 15% times that answer by 6 and u get that big answer.
The required amount Ahmet needs to pay after 6 years is $1619.14.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Amount = principal[1 + r/n]ⁿᵃ
Principal = P rate= r Time =a , n = compounding frequency
Here,
From the given data,
P = 700, r = 15% and t = 6 (n =1)
Now,
Amount = principal[1 + r/n]ⁿᵃ
Amount = 700(1 + 0.15)⁶
Amount = $1619.14
Thus, the required amount Ahmet needs to pay after 6 years is $1619.14.
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Carlton received 45 votes in the school council election, and Will received 60 votes. What percent of the votes did Carlton receive?
Answer:
42.9%
Step-by-step explanation:
The total number of votes between Carlton and Will is [tex]60 + 45 = 105[/tex].
If we put Carlton's votes in a fraction over the total number of votes, we get [tex]\frac{45}{105}[/tex].
So, if we now multiply this fraction by 100, we will get the percentage amount:
[tex]\frac{45}{105} * 100 = 42.9[/tex]
This means that to 1 decimal place, the percentage of votes that Carlton received is 42.9%.
Answer:
Carton receive:
42.86% (aprox)
Step-by-step explanation:
45 + 60 = 105
total votes = 105
Carlton received 45 votes
then:
45/105 = 0.4286 (aprox)
0.4286*100 = 42.86%