Answer: 4 brothers and 3 sisters for a total of 7 siblings
Step-by-step explanation:
Let No. of boys = x
Let No. of girls = y
Each boy has as many brothers as sisters
Hence, (x - 1) = y
Rearranging we get,
x - y = 1 ……….(1)
Now, each girl has twice as many brothers as that of sisters
Hence, 2 * (y - 1) = x
Solving the bracket we get, 2y - 2 = x
Rearranging we get,
-x + 2y = 2 ……….(2)
Adding (1) and (2) using the elimination method, we get
x - y = 1
-x + 2y = 2
y = 3
Substituting value of Y in equation (1),
x - 3 = 1
Solving this we get,
x = 4
Thus, No. of Boys = 4, No. of Girls = 3 and No. of Siblings in the family = 7
Can someone help with this one
Answer:
C mate
Step-by-step explanation:
Answer:
i believe the answer is B
Step-by-step explanation:
Big ideas 7.5 question (image)
Answer:
Option three
Step-by-step explanation:
The first two are incorrect reasonings so they are not even options to consider. The bottom two are correct reasonings. But, the third option would be best because it is most specific. With it being an isosceles trapizoid.
unit 3 mcq progres check ap csa Consider the following variable declarations and initializations.int a = 2;int b = 6;int c = 3;Which of the following expressions evaluates to false ?
Based on the variable declarations and initializations you provided:
int a = 2; int b = 6; int c = 3;
An expression that evaluates to false would be one where the conditions are not met. For example:
(a + b == c)
This expression checks if the sum of a and b is equal to c. In this case, (2 + 6) is not equal to 3, so the expression evaluates to false.
One possible solution is:
The given variable declarations and initializations are:
int a = 2;
int b = 6;
int c = 3;
To evaluate which of the following expressions is false, we need to look at each expression and see if it produces a Boolean value of false.
a < b || c > b
This expression is true because 2 is less than 6 and 3 is greater than 6. Therefore, the OR operator (||) returns true because at least one of the operands is true.
a + b > c && c - a < b
This expression is true because 2 + 6 is greater than 3 and 3 - 2 is less than 6. Therefore, the AND operator (&&) returns true because both operands are true.
b % c == a || c * b < a
This expression is false because 6 % 3 is equal to 0, which is not equal to 2. Therefore, the equality operator (==) returns false. Moreover, 3 times 6 is 18, which is not less than 2. Therefore, the second operand is also false. Therefore, the OR operator (||) returns false because both operands are false.
Therefore, the expression "b % c == a || c * b < a" evaluates to false.
Learn more about Expressions:
brainly.com/question/14083225
#SPJ11
Convert the following into an array.
2x + 3y = 5
Answer is in the file below
tinyurl.com/wpazsebu
Translate the following argument into symbolic form, and use Truth Tables to determine whether the argument is valid or invalid.
If the boss snaps at you and you make a mistake, then he’s irritable. He didn’t snap at you. So he’s not irritable.
The last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.
Let's assign symbols to represent the statements in the argument:
P: The boss snaps at you.
Q: You make a mistake.
R: The boss is irritable.
The argument can be symbolically represented as follows:
[(P ∧ Q) → R] ∧ ¬P → ¬R
To determine the validity of the argument, we can construct a truth table:
P | Q | R | (P ∧ Q) → R | ¬P | ¬R | [(P ∧ Q) → R] ∧ ¬P → ¬R
---------------------------------------------------------
T | T | T | T | F | F | T |
T | T | F | F | F | T | T |
T | F | T | T | F | F | T |
T | F | F | F | F | T | T |
F | T | T | T | T | F | F |
F | T | F | T | T | T | T |
F | F | T | T | T | F | F |
F | F | F | T | T | T | T |
The last column represents the evaluation of the entire argument. If it is always true (T), the argument is valid; otherwise, it is invalid.
Looking at the truth table, we can see that the last column evaluates to "T" in all rows. Therefore, the argument is valid since the conclusion always follows from the premises.
Learn more about argument here:
https://brainly.com/question/16052800
#SPJ11
Last week, Latoya drove 259 miles. This week, she drove k miles. Using k, write an expression for the total number of miles she drove in the two weeks.
Answer:
259+k=x
Step-by-step explanation:
x= total number of miles
Question Category: Using Models for Data
Select the correct answer.
Mr. Walker gave his students a poem to memorize and present to the class. After the presentations, he gathered data about the time each of seven students spent memorizing their poem and the number of errors each made when presenting it to the class.
He used a graphing tool to display the data in a scatter plot, with x representing the minutes spent memorizing the poem and y representing the number of errors. Then he used the tool to find the equation of the line of best fit:
y = -0.118x + 14.327.
Based on the line of best fit, approximately how many minutes did a student spend memorizing the poem if the student made 12 errors when presenting it to the class?
27
20
15
13
help plz
Answer:
The answer is 20
Step-by-step explanation:
I just did it and got it correct
Answer:
the answer is right, here is the explanation if anyone needs it.
Step-by-step explanation:
can some one please help me im confused on this im really stuck :(
Moving to another question will save this response. Question 6 Find the Sample standard Deviation to 2 dp for the following set of data 25-20-18-15-22 O a. 3.80 O b.381 O c. 14.51 O d. 14.50 Moving to another question will save this respons
The sample standard deviation to 2 decimal places for the given set of data is 5.39 (option E).
To find the sample standard deviation(SD) for the given set of data {25, 20, 18, 15, 22}, we can use the following formula:
$s = \sqrt{\frac{1}{n-1} \sum_{i=1}^{n}(x_i-\overline{x})^2}$
Where $s$ is the Sample SD ,$n$ is the number of observations,$x_i$ is the $i^{th}$ observation, and$\overline{x}$ is the mean of the observations.
Using the above formula, we can find the sample standard deviation as follows:
First, we need to find the mean of the observations:
$\overline{x} = \frac{1}{n}\sum_{i=1}^{n}x_i = \frac{25+20+18+15+22}{5} = 20$
Substituting the values in the formula:
$s = \sqrt{\frac{1}{5-1} [(25-20)^2 + (20-20)^2 + (18-20)^2 + (15-20)^2 + (22-20)^2]}$$s = \sqrt{\frac{1}{4} [25 + 0 + 4 + 25 + 4]} = \sqrt{\frac{58}{2}} = \sqrt{29} \approx 5.3852$
Therefore, the Sample SD to 2 decimal places for the given set of data is 5.39 (option E).
Option E is the correct answer.
To learn more about standard deviation refer to:
https://brainly.com/question/13336998
#SPJ11
Pls I need help fast
Answer: x = -2
Step-by-step explanation:
-6x = 5x + 22
-11x = 22
x = -2
Help me with this 9 math
The height of the cylinder is 4 feet.
How to find the height of a cylinder?The volume of a cylinder can be found as follows;
volume of a cylinder = base area × height
Therefore,
base area = πr²
volume of the cylinder = 48π ft³
base area = 12π ft²
Therefore, let's find the height of the cylinder as follows:
48π = 12π × h
divide both sides of the equation by 12π
h = 48π / 12π
h = 4 ft
Therefore,
height of the cylinder = 4 feet
learn more on volume here: https://brainly.com/question/28512386
#SPJ1
Tanya wants to order 50 pizzas for a party. However, the pizza supplier can deliver only 45 pizzas on the given date. How will you describe the relationship between demand and supply of pizzas? A. Demand is equal to supply. B. Demand is greater than supply. C. Demand is less than supply.
Answer:
B
Step-by-step explanation:
The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.
Answer:
b
Step-by-step explanation:
(!!!!!VERY URGENT!!!!!!) find the area of the composite figure
What percent of the yearly sales were the sales for October-December?
Solving the operations:
\(n=\frac{80000}{104000+154000+123000+80000}=\frac{80000}{461000}=\text{0}.174\)Now we multiply by 100 to convert to percentage:
\(\text{0}.174\times100=17.4\text{ percent}\)Therefore, oct-dec sales are 17.4% of the total sales.
how do I solve this question
Step-by-step explanation:
Use one of them to solve for x the plug in to get the number for all of them, subtract from360 then there's your answer
A rectangular prism has a length of 10m, a height of 2m, and a width of 5m. What is its volume, in cubic m?
The volume of a given rectangular prism is 100 cubic meter.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
We know that, a rectangular prism has a length of 10 m, a height of 2 m, and a width of 5 m.
Here, volume = 10×5×2
= 100 cubic meter
Therefore, the volume of a given rectangular prism is 100 cubic meter.
To learn more about the rectangular prism visit:
https://brainly.com/question/27812749.
#SPJ2
Nancy had 6 feet of ribbon she will use to make gift wrapping bows. She needs 1/3 of a foot to make a gift wrapping bow. How many gift wrapping bows can Nancy make? 9 bows 12 bows 18 bows 24 bows
Answer: WHATS THE ANSWER???!?!
Step-by-step explanation:
Answer:
thanks for the free points. btw it is 18
Step-by-step explanation:
PLS ANSWER THIS QUESTION QUICKLY
Answer: A & D
Step-by-step explanation: parallel lines never touch. if you graph all the equations, lines A & D don't touch each other.
6x-2+9y-3y-3x
Help anyone?
Step-by-step explanation:
6x-2+9y-3y-3x
6x-3x-2+9y-3y
3x-2+6y
Therefore its 3x-2+6y.
Bob rents bicycles in a local park. The rental fee is described as follows: A $3 flat fee plus $4 per hour. Suppose you want to rent a bike from Bob's Bike Rentals for 6 hours. How much would it cost?
Answer: la respuesta es 24
Step-by-step explanation:
Which of the quotients are equivalent to -(48/17)
Answer:
oiie4546
Step-by-step explanation:
State which Of these decimals is heater then 2/5 and less than 1/2
0.042
0.43
0.51
0.4
This is an easy question
Answer:
tara has 29 red pens shawn had 3 red pens before.
Step-by-step explanation:
Answer:
Hello! answer for the first question: 29
answer for the second question: 3
Hope that helps!
8 + r = 11 r = 3
General Computers Inc. purchased a computer server for $61,000. It paid 30.00% of the value as a down payment and received a loan for the balance at 3.50% compounded semi-annually. It made payments of $2,250.53 at the end of every quarter to settle the loan. a. How many payments are required to settle the loan?
The correct value of approximately 19 payments are required to settle the loan.
To determine the number of payments required to settle the loan, we need to calculate the loan balance and divide it by the payment amount.
First, let's calculate the loan balance. The down payment made by General Computers Inc. is 30% of $61,000, which is $18,300. This means the loan amount is the remaining balance:
Loan amount = Purchase price - Down payment
= $61,000 - $18,300
= $42,700
Next, let's calculate the interest rate per period. The given interest rate is 3.50% compounded semi-annually. Since the payments are made quarterly, we need to adjust the interest rate accordingly. The semi-annual interest rate is:
Semi-annual interest rate = Annual interest rate / Number of compounding periods per year
= 3.50% / 2
= 0.035 / 2
= 0.0175
Now, let's calculate the loan balance after each payment. We'll use the formula for the future value of an ordinary annuity to calculate the loan balance at the end of each quarter:
Loan balance after each payment = Loan amount * (1 + Semi-annual interest rate)^(-Number of payments)
In this case, the loan amount is $42,700 and the payment amount is $2,250.53.
Let's calculate the number of payments required to settle the loan by iteratively subtracting the payment amount from the loan balance until the loan balance becomes zero:
Loan balance after payment 1 = $42,700 * \((1 + 0.0175)^(-1)\)
Loan balance after payment 2 = (Loan balance after payment 1 - Payment amount) * \((1 + 0.0175)^(-1)\)
Loan balance after payment 3 = (Loan balance after payment 2 - Payment amount) *\((1 + 0.0175)^(-1)\)
...Loan balance after payment n = (Loan balance after payment n-1 - Payment amount) *\((1 + 0.0175)^(-1)\)
We continue this calculation until the loan balance becomes zero.
Using this iterative calculation, we find that it takes approximately 19 payments to settle the loan.
Therefore, approximately 19 payments are required to settle the loan.
Learn more about compound interest here:
https://brainly.com/question/24274034
#SPJ11
Which rational expression does not have any excluded values?
x+2/2x^2
2x+4/3x+3
6x-5/x^2-7
x+2/-x^2-5
Answer:
D.
Step-by-step explanation:
An excluded value often comes from a zero in the denominator.
Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.
A.
2x^2 = 0
x = 0
excluded value
B.
3x + 3 = 0
3x = -3
x = -1
excluded value
C.
x² - 7 = 0
x² = 7
x = √7 or x = -√7
excluded values
D.
-x² - 5 = 0
x² = -5
x = √(-5) or x = -√(-5)
There is no real solution for x.
no excluded values
Answer: D
Answer + method / explanation please
The expressions for the lengths of the segments obtained using vectors notation are;
a. i. \(\overrightarrow{LA}\) = q - (1/2)·p ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)
b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;
\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)
What are vectors?A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)
a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) = \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)
\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p
\(\overrightarrow{LA}\) = q - (1/2)·p
ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × (p - q)
b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)
\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)
\(\overrightarrow{LA}\) = q - (1/2)·p
\(\overrightarrow{AN}\) = (2/7) × (p - q)
Therefore;
\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)
\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)
Learn more on the vectors here: https://brainly.com/question/2375446
#SPJ1
Write the prime factorization of 36. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
36
2 x 18
2 x 2 x 9
2 x 2 x 2 x 3
Step-by-step explanation:
help me please I’ll give BRAINLYIST. A person runs 1 mile in
in 1/2 hour. The
person's speed is miles per hour
Answer:
since speed is miles per hour it would be s=1/1/2 so it would be 2mph
Albert claims that −6 is the greatest integer solution of the inequality 3x−1≤35+9x. Solve the inequality to show if Albert is correct or not.
Answer:
albert einstein
Step-by-step explanation:
One large jar and three small jars together can hold 14 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. A matrix with 2 rows and 2 columns, where row 1 is 1 and 3 and row 2 is 1 and negative 1, is multiplied by matrix with 2 rows and 1 column, where row 1 is l and row 2 is s, equals a matrix with 2 rows and 1 column, where row 1 is 14 and row 2 is 2. Use matrices to solve the equation and determine how many ounces of jam are in each type of jar. Show or explain all necessary steps.
Matrix tells that large jar can hold 5 ounces of jam and small jar can hold 3 ounces of jam
The matrix formed is
\(\left[\begin{array}{ccc}1&3\\1&-1\end{array}\right] \left[\begin{array}{ccc}l\\s\end{array}\right] = \left[\begin{array}{ccc}14\\2\end{array}\right]\)
Here L is a large jar and S is a small jar
Multiplying the matrix we will get two equation
1 × L + 3 × S = 14
1 × L + (-1) × S = 2
First equation is
L + 3S = 14
L = 14 - 3S
Second equation
L - S = 2
Putting the value of L in second equation
14 - 3S - S = 2
-4S = 2 -14
S = 3
L = 5
To know more about matrix click here :
https://brainly.com/question/28180105
#SPJ1