Mr. Henderson paid a total of $98.40 for phone service and $79.20 for garbage pickup last year. To find his average cost per month for these two services, we need to divide the total amount he paid by the number of months in a year.
Since there are 12 months in a year, we can divide the total amount Mr. Henderson paid for phone service and garbage pickup by 12 to find his average cost per month. This is calculated as follows:
Average cost per month = (98.40 + 79.20) / 12
Average cost per month = 177.60 / 12
Average cost per month = $14.80
Therefore, Mr. Henderson's average cost per month for phone service and garbage pickup last year was $14.80. This means that, on average, he paid about $14.80 per month for these two services.
f(x)=−x−4, find f(-2)
By evaluating the function in x = -2, we will get:
f(-2) = -2
How to find f(-2)?To do that, we need to evaluate the given linear equation:
f(x) = -x - 4
We want to find f(-2), so we need to evaluate the linear equation in x = -2, this means that we just need to replace the variable by the corresponding number.
Then we will get:
f(-2) = -(-2) - 4
f(-2) = +2 - 4
f(-2) = -2
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A cricket 11 is to be chosen from 16 players of whom 7 are bowlers, 4 can keep the wicket. Number o
ways this can be done to contain exactly 5 bowlers, 2 wicketkeepers is
1) 945
2) 885
3) 630
4) 715
Answer:630
Step-by-step explanation:
We have to pick 11 players including 5 bowlers and 2 keepersThe number of ways in which we can choose 5 bowlers out of 7 are 7C5 = 7!/(5!*2!) =21The no. of ways in which 2 keepers can be selected out of 4 are 4C2 = 4!/(2!*2!) =6The number of ways to select remaining (11-5-2=) 4 players out of remaining (16-7-4=) 5 players are 5C4 = 5! /(4!*1!) = 5So, the total number of ways to select the team of 11 is 21 * 6 * 5 = 630Jay i trying to implify the following expreion 3x (3 12 divided by 3) -4. What hould be hi firt tep in olving thi problem
According to the BODMAS rule, the first step to solve the given expression is to solve the bracket.
What is BODMAS?Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems.
B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.
So, we have the expression: 3(3½ ÷ 3)-4
The next step would be according to the BODMAS rule.
In the BODMAS rule the letter B stand for brackets.
Hence, the first step will be to solve the bracket.
Therefore, according to the BODMAS rule, the first step to solve the given expression is to solve the bracket.
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For each equation, determine whether it is linear.
Equation
(a) y=x-6
(b) y=2x²-1
(c) y=6x
(d) y=-x³
Is the equation linear?
Yes
No
Answer:
Step-by-step explanation:
For an equation or function be linear, it should be in the form:
Y= mX +b
then
a) YES Linear
b) NO linear
c) YES Linear
d) NO linear
If the perimeter of RSTU is 72 and RV = 16,
find RT and UV
A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16, RT= 32 and UV ≈ 8.2.
How to find the perimeter calculation?A diagram is provided, on which R S T U's perimeter is 72 and R V's is 16.
Finding R T and U V is our goal.
First, let's assume that the figure RSTU is a rhombus since its perimeter and one-half of a diagonal's length are both provided. RT is the result of adding the segments RV and VT.
RT=RV + VT
We are informed that the RV is sixteen. If RV and VT are congruent, then V T equals 16. So:
R T = 16 + 16 = 32
In order to determine the UV length, we must first determine the RU length. Since a rhombus's sides are the same length, we can divide its perimeter by four to determine
RU= Perimeter/ 4
If we simplify and replace Perimeter with 72, we get:
RU = 72 / 4
RU =18
Since UB is a member of the right triangle RUV created by the intersection of the diagonals, we can now use the Pythagorean theorem to determine its length. So:
U V²+ R V² = RU²
If R V = 16 and R U = 18, we obtain:
U V² + 16 ²= 18²
By way of summary, we have:
U V² + 256 = 324
U V² + 256 − 256 = 324 − 256
√ UV = √ 68
UV = 8.2462
UV ≈ 8.2
Our recommendations are as follows:
RT= 32
UV ≈ 8.2.
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Rectangle jklm is similar to rectangle wxyz. What is the scale factor of a dilation from jklm to wxyz ? enter your answer as a decimal in the box.
WXYZ to JKLM
JM is equal to 9, ZW is 13.5, JK is 12, and WX is 18.
To obtain the coordinates of the other shape, multiply the original shape by the scale factor
What is the scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.
13.5 / 9 = 1.5
9 * 1.5 = 13.5 \s12 * 1.5 = 18
You have a scale factor of 1.5. (because if u multiply 1.5 by the original shape, u get the new shape)
JKLM ~ WXYZ
So JK ~ WX
So the scale factor = WX / JK
Scale Factor = 18 / 12 = 3 / 2 = 1.5
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The number of cars in a number of cities shows a positive correlation to the population of the respective city. Can it be inferred that an increase of cars in a city leads to an increase in the population?
Answer: No
A correlation is a relationship between two variables that tend to move in the same direction. Therefore, a positive correlation will describe two variables that increase together. However, correlation does not always equal causation, and in this case, this conclusion cannot be made. A more probable explanation is that there is some third variable causing an increase in population, so more people are buying more cars, not the other way around.
what is the answer i need them now I will give brainliest if correct
Answer:
5 6/7 or C option
Step-by-step explanation:
5 6/7 is equal to 5.857 and rounded it is 6
While all the others round to 5
Hopes this helps please mark brainliest
21 divided by 72529 show your work
The answer will be in the picture provided below!
find the coordinates of the centroid of DEF with vertices (0,4) (6,6) (2,2)
The coordinates of the centroid of triangle DEF with the vertices (0,4) (6,6), and (2,2) is calculated as: (8/3, 4).
How to Find the Coordinates of the Centroid of a Triangle?The formula for finding the coordinates of the centroid of a triangle is given as:
C(x, y) = [tex]( \frac{(x1+x2+x3)}{3}, ( \frac{(y1+y2+y3)}{3})[/tex].
Given the vertices of triangle DEF as follows:
D (0, 4) = [tex](x_1, y_1)[/tex]
E (6, 6) = [tex](x_2, y_2)[/tex]
F (2, 2) = [tex](x_3, y_3)[/tex]
Substitute the values into the centroid formula to find the coordinates:
C(x, y) = [(0 + 6 + 2)/3, (4 + 6 + 2)/3]
C(x, y) = (8/3, 12/3)
C(x, y) = (8/3, 4)
Therefore, the centroid has the coordinates that are calculated as: (8/3, 4).
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What is the product of 10 and 6/sqrt(96) in simplest radical form?
Answer: √345600
Step-by-step explanation:
1st step: 10*6√96
2nd step: 60√96
3rd step:240√6
4th step (convert to radical form): √345600
there's your answer
Martin charge $15 for every 5 bag of leave he rake. Lat weekend, he raked 27 bag of leave. How much money did he earn?
We know that Martin earn $81 last week by raking 27 bags using simple mathematical operations.
What are mathematical operations?A mathematical expression known as an "operation" in mathematics is one that transforms zero or even more input data into a precisely specified actual output.
The number of arithmetic determines the difficulty of the operation.
The four basic operations in arithmetic are addition, subtraction, multiplication, and division, according to the majority of people.
So, money was earned by raking 27 bags.
Martin earns $15 for raking 5 bags.
The amount earned by raking 1 bag:
15/5 = $3
Now, the amount earned by raking 27 bags:
27 * 3 = $81
Therefore, we know that Martin earn $81 last week by raking 27 bags using simple mathematical operations.
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A 4-ounce serving of applesauce has 70 Calories. Based on this rate, how many Calories are in 7 ounces of applesauce?
Answer:
122.5
Step-by-step explanation:
first you divide 70/4 =17.5 then you multiply 17.5 by 7 and get 122.5
Based on the given rate, which is 4-ounce serving of applesauce has 70 Calories the Calorie level of 7 ounces of applesauce is 122.5 calories
How to find the number of calories in 7 ounces of applesauceThe number of calories in 7 ounces of applesauce is solved by comparing the how many 4 ounce is in 7 ounce
The amount of 4 ounce in 7 ounce = 7 ounce / 4 ounce
The amount of 4 ounce in 7 ounce = 1.75 ounce
Then the equivalent amount of calories is solved by multiplication
The number of calories in 7 ounces of applesauce = 1.75 * 70 calories
= 122.5 calories
The number of calories in 7 ounces of applesauce is 122.5
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Clark made a model of his house. his house was 30 1/2 feet long. The dimensions of the model were 1/25 the dimension of Clark's actual home. what is the length, in feet, of the model.
1.22ft is the length, in feet, of the model.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.
Main Body:
Length of Clark house = 30.5 ft
Dimensions of the model were 1/25 the dimension of Clark's actual home.
so , we can write as -
Write and solve an equation of ratios:
1 x
---- = ----------
25 30.5 ft
Then 30.5 ft = 25 x, and x = 1.22 ft, or 14.64 inches.
Hence 1.22ft is the length, in feet, of the model.
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Helppppp. I can’t figure this out
Answer: B
Step-by-step explanation:
Multiply matrices
AB = [ 4 5 ] x [ 3 ]
[ 8 7 ] [ 9 ]
4 x 3 + 5 x 9 = 12 + 45 = 57
8 x 3 + 7 x 9 = 24 + 63 = 87
[ 57 ]
[ 87 ]
What value for a in the system of equations below would yield no solutions for the system? Explain how you obtained your answer.
ax+12y=−6
2x−6y=4
a=
The value of a for system ax + 12y = −6, 2x − 6y = 4 having no solution is a = -4.
What is the equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Given:
ax + 12y = −6
2x − 6y = 4
Calculate the value of a by using the condition of no solution of the system given below,
[tex]a_1 / a_2 = b_1 / b_2 \neq c_1/c_2[/tex]
So, a₁ / a₂ = b₁ / b₂
a / 2 = 12 / (-6)
a / 2 = - 2
a = -4
And -4 / 2 ≠ -6 / 4
Therefore, the value of a for system ax + 12y = −6, 2x − 6y = 4 having no solution is a = -4.
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The profit a company made descreased 20% to 66 million from one year to the next. What was the profit the year before?
Answer:
79.2Million?
Step-by-step explanation:
hope this helps
For the sets A={1,3,5,7,9,11}, B={2,4,6,8,12} and C={5,10,15,20}, the set obtained of the operations A∩B∩C is
The A ∩ B ∩ C = {0}, if A = {1,3,5,7,9,11}, B = {2,4,6,8,12} and C = {5,10,15,20}.
What is set?Any group of objects (elements) in mathematics and logic, whether they are mathematical (such as numbers and functions), is referred to as a set.
Given:
Set A = {1,3,5,7,9,11},
B = {2,4,6,8,12},
C = {5,10,15,20}
Calculate the A ∩ B ∩ C by the formula given below,
A ∩ B ∩ C = {0}
As there is nothing common between sets A, B, and C.
Therefore, A ∩ B ∩ C = {0}.
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how to write the equation of the line with m = –1 and Passes point (4, 5) in Slope –Intercept Form.
Hello,
The slope-intercept form of a linear equation is:
y = mx + b
where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
To write the equation of the line with slope m = -1 that passes through the point (4, 5), you can use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line. Plugging in the values, we get:
y - 5 = -1(x - 4)
This simplifies to:
y - 5 = -x + 4
Finally, we can rearrange the terms to put the equation in slope-intercept form:
y = -x + 9
This is the equation of the line with slope m = -1 that passes through the point (4, 5).
---
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Happy Holidays!
A glass holds 3/4 cup of milk. A jug
contains 12 cups of milk. How many
glasses can be filled from the milk in the jug?
Answer: 16 glasses of milk
Step-by-step explanation: To find how many glasses can be filled with milk, we must know that this is a division problem. So, we divide 12 by 3/4 to get 16. When dividing, the answer will be greater than the number it is being divided by, because the reciprocal will be found, and it will be greater when multiplied. I hope this helped. Please mark brainliest (If can)
One hose can fill a small swimming pool in 75 minutes. A larger hose can fill the pool in 50 minutes. How long will it take the two hoses to fill the pool working
together?
Do not do any rounding.
minutes
X
One hose can fill a small swimming pool in 75 minutes. Two hoses will fill the pool in 30 minutes when working together.
Given, the volume ( the space occupied by an solid object) per minute
Smaller hose fills the pool in 75 minutes. (1/75)
A larger one can fill the pool in 50 minutes. (1/50)
So, together they will fill = (1/ 75 ) + (1/50) , the lcm of 75 and 50 is 150
= (2/150) + (3/150)
= 5/150
= 1/30 or 30 minutes
So, we can say that the two hoses will fill the pool in 30 minutes when working together.
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If Sam had driven at an average speed of 100kph and the distance is 150km from Bari to Oria, how long would it have taken him?
PLEASE HELP 20 POINTS
Graph
A
B
C
D
it is the 1st graph.
Graph A.
Chris and samantha went to the candy store. Chris bought 4 pieces of fudge and 3 pieces of taffy for a total of $7. 95. Samantha bought 2 pieces of fudge and 10 pieces of taffy for a total of $9. 50. Which system of equations yields the cost of one piece of fudge, f, and one piece of taffy, t?.
Answer:4f+3t=7.95 2f+10t=9.50
Step-by-step explanation:
Let the cost of fudge be f and taffy be t.
Chris bought 4 pieces of fudge and 3 pieces of taffy for a total of $7.95
4 f + 3 t = 7.95
Samantha bought 2 pieces of fudge and 10 pieces of taffy for a total of $9.50
2 f + 10 t = 9.5
If 400 m long fencing wire is required to surround a square flower garden 2 times, find the length of the garden. the Links Book 6 Approved by CDC
Answer:
Length (L) = 50 m
Step-by-step explanation:
Given information,
→ 400 m long fencing wire is required to surround square flower garden 2 times.
Now the fence taken for 1 time,
→ 400 ÷ 2
→ 200 m
Formula we use,
→ P = 4 × L
[Perimeter of square]
Then the length of the garden is,
→ P = 4 × L
→ 200 = 4L
→ 4L = 200
→ L = 200/4
→ [ L = 50 m ]
Hence, length of garden is 50 m.
Solve the equation $32.001647(x-9.87)=31.999897(x-9.87)+0.000847.$ Enter your answer as an integer or decimal.
Solving the given equation, we calculate the value of x to be 10.369
What is equation?An equation is a mathematical statement that shows that two expressions are equal. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is simplification?Simplification is the process of reducing an expression or equation to its simplest form by applying the rules of algebra. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
By isolating the variable x and using calculator, we find the answer = 10.369.
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Find the inverse of the given relation {(5,1), (4,-3), (3, -1)}
The inverse of the given relation {(5, 1), (4, -3), (3, -1)} is {(1, 5), (-3, 4), (-1, 3).
What is the inverse of a relation?The inverse of a relation is a relation obtained by interchanging or swapping the elements or coordinates of each ordered pair in the relation.
The ordered pair (x, y) of f(x) becomes (y, x) of f⁻¹(x).
Given, A relation in form of a set of ordered pairs {(5, 1), (4, -3), (3, -1)} let this be f(x).
∴ The ordered pair of f⁻¹(x) will be {(1, 5), (-3, 4), (-1, 3).
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answer my question what is the ?
Answer:
18
Step-by-step explanation:
for the first one, 2(5+1)+10=22
for the second one, 2(6+4)+10=30
using the same concept, 2(3+1)+10=18
?=18
im not sure if im right or not lol
a high school offers these statistics: 25% of incoming students come from single-parent homes. 75% of incoming students come from two parent homes. 42% of incoming students from single parent homes eventually go on to get a college education.58% of incoming students from two parent homes eventually go on to get a college education. what percent of incoming students eventually go on to get a college education? group of answer choices
Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..
what is percentage ?By dividing the value by the entire value and multiplying the result by 100, one can compute the percentage. The formula for calculating percentage is (value/total value)100%.When a piece of a whole is stated as a percentage, it is not a fraction but rather a number between 0 and 100. There are three percentages: 100% for everything, 50% for half of it, and 0% for the remaining portion.
calculation
25% of new students come from one-parent households, which equals 0.25;
75% of new students come from two-parent households, which is 0.75.
42% of incoming students from homes with only one parent go on to complete their college studies = 0. 42
58 percent of incoming students who come from two-parent households go on to complete their education =0.58
= 0.25 * 0.42 + 0.75 * 0.58 = 0.54 = 54%.
Whereas students from single parent or two parent homes make up 54% of new students, these students eventually go on to complete their college studies..
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Multiplying and Dividing Integers MC) What is the product of (−16)(−4)(−24)? −40 −44 −1,536 −448
The required product of the given product numeral is -1536. Option C is correct.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
= (−16)(−4)(−24)
= 64(-24)
= -1536
Thus, the required product of the given product numeral is -1536. Option C is correct.
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