Answer:
\(\huge\boxed{\boxed{\mathbb{B)70°}}}\)
Step-by-step explanation:
to understand thisyou need to know about:vertical angleequationPEMDASgiven:\(\sf m\angle ABC=3x-20\)\(\sf m\angle DBF=x+40\)tips and formulas:Vertical Angles are the angles opposite each other when two lines crossvertical Angles are equallet's solve:according to the question
3x-20=x+40
=>3x-x=40+20
=>2x=60
=>x=60/2
x=30
given \(\sf m\angle ABC=3x-20\)
substitute the value of x
30×30-20
simplify
90-20
70
Opposite angles are equal
Put and equate
3x-20=x+40solve
3x-x=40+202x=60x=30°m<ABC
3(30)-2090-2070°Option B
help me solve this queston
TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
To represent the given problem as a system of equations, we can use the following information:
John is 70 years younger than Sharon: j = s - 70
Sharon is 4 times as old as John: s = 4j
Let's plot the graph for this system of equations:
First, let's solve equation (2) for s:
s = 4j
Now substitute this value of s in equation (1):
j = s - 70
j = 4j - 70
3j = 70
j = 70/3
Substitute the value of j back into equation (2) to find s:
s = 4j
s = 4(70/3)
s = 280/3
The solution to the system of equations is j = 70/3 and s = 280/3
In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.
Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
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May I know this answer
Question 2
A box contains 22 coloured pencils.
6 pencils are pink, 9 pencils are blue and 7 pencils are yellow.
Write down the ratio pink pencils : not pink pencils.
Give your answer in its simplest form.
Answer:
3/8 or 3:8
Step-by-step explanation:
pink : not pink
6 : 16
Think of it as a fraction. Simplify it in the same way.
6/16 simplifies to 3/8
So the pink:notpink ratio is 3/8 or 3:8
Which operation do you perform first? 5+30÷10×2
Answer:
You divide 30 by 10 first.
Step-by-step explanation:
That is the answer because according to the Order of Operations you have to multiply multiplication and division by left is first to right.
can someone help me put the reasons in order ? please !!
Answer:
i) Given
ii) Definition of angle bisector
iii) angle addition
iv) Substitution
v) Combine like terms
Mark me brainliest pls
Answer:
1) Given
2) Definition of Angle Bisector
3) Angle Addition
4) Substitution
5) Combine Like Terms
Step-by-step explanation: Hope this helps!
Identify the number line that correctly displays the solution x ≥ 3.
The correct number line that displays the solution `x ≥ 3` would be:
<------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
●------------------------------------------------>
The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.
The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.
It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.
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Aisha wants to paint the walls of a room. She knows that each can of paint contains one gallon. A half-gallon will completely cover a 55 square feet of wall. Each of the four walls of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 feet wide. How many 1-gallon buckets of paint does Aisha need to buy in order to fully paint the room?
As a result, Aisha needs to purchase 5 gallons of paint to paint the entire space.
How so many feet would be 1 square feet?
Area is measured in square feet. It is defined as the area enclosed by a square with one-foot sides. To calculate area, multiply length by width. Hence, a space that is one foot long with one foot wide is considered to be one square foot.
The entire area of four walls must first be determined. Because each of the two walls is 10 feet wide and 10 feet tall, it has a surface of:
\(10 feet × 10 feet = 100 square feet\)
Other two walls are each 15 feet broad and 10 feet tall, giving each of them an area of:
10 feet × 15 feet = 150 square feet
We add the individual wall areas together to determine the combined area of any and all four walls:
100 square feet + 100 square feet + 150 square feet + 150 square feet = 500 square feet
Now we need to calculate how many ½ of paint Aisha will use to cover this space. Since we are aware that a half-gallon will cover a wall measuring 55 square feet, we may establish a ratio:
1/2 gallon: 55 square feet = X gallons: 500 square feet
With this ratio simplified, we may cross-multiply to obtain:
\(X = (1/2 gallon) × (500 square feet / 55 square feet) = 4.55 gallons\)
Given that buckets are only 1 gallon, she needs to purchase 5 buckets in total.
Aisha must therefore purchase 5 gallons of paint for paint the entire space.
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A 3-column table has 3 rows. Column 1 is labeled Item with entries bread, peanut butter, jelly. Column 2 is labeled Quantity with entries 25 loaves, 2,400 ounces, 2,400 ounces. Column 3 is labeled unit price with entries 1 dollar and 95 cents per loaf, 16 cents per ounce, 8 cents per ounce. The table shows the quantity and unit prices for the items Camillo bought. Total cost for bread: ...? Total cost for peanut butter: .....? Total cost for jelly: ....? If he would have spent $986.50 without better-buy unit prices, how much money did he save?
Answer:
Bread total: 48.75
Penute butter: 384
Jelly: 192
He would have saved 361.75
Step-by-step explanation:
986.50- 48.75- 394-192= 361.75
Julio is paid 1.1 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 45 hours and eamed $520.80. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable. The earnings equation is $520.80 = Julio's hourly rate is $ per hour. This is reasonable because working 45 hours at a rate of $11 per hour is 45 - 11 = 45(10+1)=450 + 45 = |, and $ is dose to $520.80.
PLEASE ANSWER ASAP!!
Julio's hourly rate is going to be $14.4 per hour
please help guys it's due soon don't troll
Answer: The answers A -2 and there is my work :)
Step-by-step explanation: 5x-17 find h(3)
5(3)-17 plug in 3 in the 5x
15-17 subtract 15 and 17
-2
Answer:
The answer is 2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
However, there is an absolute value sign over the expression. Abs value makes negatives turn positive. So -2 becomes 2.
Find the area of the rectangle on this centimetre grid.
Answer:
A = 35 cm²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
by counting the squares on the sides
length = 7 cm and width = 5 cm , then
A = 7 × 5 = 35 cm²
The next model of a sports car will cost 14.7% more than the current model. The current model costs $34,000. How much will the price increase in dollars?
What will be the price of the next model?
Increase in price:
Price of next model:
Answer: $4,998
Step-by-step explanation:
34000*1.147
38998-34000=4998
Find the tangent line and the normal line to the curve at the given point.
The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.
To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.
First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:
2x * (y^2) + 2y * (2xy * dy/dx) = 0
Simplifying the equation, we have:
2xy^2 + 4xy(dy/dx) = 0
Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:
2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0
Simplifying further:
8 + 8(dy/dx) = 0
8(dy/dx) = -8
dy/dx = -1
We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.
Using the point-slope form of a line, we can write the equation of the tangent line as:
y - y₁ = m(x - x₁)
Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:
y - (-2) = -1(x - (-1))
y + 2 = -1(x + 1)
y + 2 = -x - 1
y = -x - 3
Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.
To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.
Using the point-slope form of a line again, we can write the equation of the normal line as:
y - y₁ = m'(x - x₁)
Substituting the values of (-1,-2) and m' = 1 into the equation, we have:
y - (-2) = 1(x - (-1))
y + 2 = x + 1
y = x - 1
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The average time for athletes on the Central High School track team to run 200 meters is 27.6 seconds. The
slowest and fastest recorded times varied from the average by 5.3 seconds. What absolute value equation
could the track coach use to determine the minimum and maximum times for the team?
O x + 27.61 = 5.3
Olx - 27.6] = 5.3
O lx - 5.31 = 27.6
O IX +5.31 = 27.6
Answer:
Option B: |x - 27.6| = 5.3
Step-by-step explanation:
We are told that the average time for athletes on the Central High School track team to run 200 meters is 27.6 seconds.
We are also told that the slowest and fastest recorded times varied from the average by 5.3 seconds.
This means that the slowest time varied by 5.3 seconds more than the average while the fastest time varied by 5.3 seconds less than the average.
If x is to represent the slowest or fastest time, the absolute value equation can be written as;
|x - 27.6| = 5.3
what is 3.13 as a fraction
Answer:3.13/1
Step-by-step explanation:
Find value of b and A
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
The price of an item has been reduced by 95%. The original price was $65
The new price of the item is equivalent to $3.25.
What is percentage?In mathematics, a percentage is a number or ratio that represents a fraction of 100. A percentage is a dimensionless number i.e. it has no unit of measurement.Given is that the price of an item has been reduced by 95%. The original price was $65
Assume the new price to be $[x]. So, we can write -
x = 65 - {95% of 65}
x = 65 - {(95/100) x 65}
x = 65 - {6175/100}
x = 65 - 61.75
x = 3.25
Therefore, the new price of the item is equivalent to $3.25.
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Which answers describe the shape below? Check all that apply.
31
A
A. Quadrilateral
B. Rhombus
C. Trapezoid
D. Parallelogram
E. Rectangle
F. Square
Answer:
A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.
If it takes 2men 11 days to dig 7 well, how many days should 7men dig 21well
7 men should be able to dig 21 wells in approximately 4.7 days.
How to determine the number of daysFrom the question, we have the following parameters that can be used in our computation:
If it takes 2men 11 days to dig 7 well, How many days should 7men dig 21wellWe can use the formula:
Number of days = (number of wells * number of days per well) / number of men.
So, we have
Number of days per well for 2 men:
11 days / 7 wells = 1.5714 days per well.
Using the above as a guide, we have the following:
the number of days for 7 men to dig 21 wells:
21 wells * 1.5714 days per well / 7 men = 4.7142days.
Hence, the number of days is 4.7 days.
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22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
XYZ company is situated in Ghana. They have been commissioned your organisation to design a database for them. The database is expected to keep data on employees, customers, suppliers, and products. Important records on employees such as employee's ID, date of birth, and dependants are expected to be captured in the database. Products information such as product's ID, name of product, manufacturing and expiring data, and name of supplier are expected to be captured. The company receives suppliers from different organisations, hence, it would like the database to capture relevant details of these suppliers. Each supplier supplies only one type of product for the company. Every customer is assigned one sales representative, yet sales representatives maybe assigned up to ten customers. Customers can order an unlimited number of good. Properly represent all entities, relationships, constraints, and appropriate keys in an E-R diagram that can readily be used in a database.
By answering the presented question, we may conclude that Sales Rep: expression This entity maintains information about sales reps such as SalesRepID and SalesRepName.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.
The ER diagram above depicts the database entities and their connections. Here's a quick rundown of each entity and its characteristics:
Employee: This object contains information on employees such as EmployeeID, Name, DateOfBirth, and Dependents.
ProductID, ProductName, ManufacturingDate, ExpiryDate, and SupplierID are all stored in this object.
Supplier: This entity holds supplier-specific information such as SupplierID, SupplierName, ContactPerson, and ContactNumber.
CustomerID, CustomerName, ContactPerson, and ContactNumber are all stored in the Customer entity.
Sales Rep: This entity maintains information about sales reps such as SalesRepID and SalesRepName.
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The quotient of a numberpo, and five
Please help
Answer:
x over 5 or x divided by 5
Step-by-step explanation:
x over 5 : \(\frac{x}{5}\)
x divided by 5 : x ÷ 5
Plzzzzz helpp!!!!!!!!!!!!!!
Help really fast! C=?
Answer:
Your answer will be 70 degrees
Step-by-step explanation:
a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
5+y=y+5 which property of addition commutative,associative,additive ifentity property,additive identity property ,
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
Answer:
commutative
Step-by-step explanation:
Commutative property says changing the order of addends does not change the sum.
What is the measure of one exterior angle of a 15-sided regular polygon?
O 12 degrees
O 168 degrees
O24 degrees
O 156 degrees
Answer:
24°
Step-by-step explanation:
For an n-sided regular polygon, the sum of internal angles = (n-2)×180°
Since all internal angles are equal, the internal angle can is given as:
Here, it is given that the polygon has 15 sides.
So n = 15
So each internal angle is 156°.
Internal and external angles are always supplementary. So the sum of the internal and external angles is 180°.
So external angle = 180° - 156° = 24°.
The measure of each external angle is 24°.
The sum of 3 consecutive numbers is 126. Find the numbers.
Answer:
Hello!!
The sum of 3 constructive numbers is 126. The three constructive numbers are...
\(41+42+43=126\)
Hope this helps!!
Both questions I need help with please!!
Answer:
15: 58 degrees. 16: Answer D
Step-by-step explanation:
Question 15
All you have to do for this one is to add the angle measures of 22 and 36 degrees together to get the answer of 58 degrees.
Question 16
The interior angles of a triangle will always add up to 180 degrees.
Therefore, 180 - 53 - 21 is the answer, which totals 106 degrees.
how much food can this container