Given the figure below, find BD.
А
B
8
6
X + 3
2x
D
Jacqueline is buying grapes and apples from the Walmart produce section. Grapes are $3
per pound and apples are $4 per pound. Jacqueline’s mother gave her $20 to spend. To
determine the combinations of grapes and apples that she can afford to purchase,
Jacqueline wrote the inequality 3 + 4 ≤ 20.
1. Define the variables Jacqueline used based on the context.
Let represent _______________________________________________.
Let represent _______________________________________________.
2. Explain why the inequality sign ≤ makes sense in this context.
3. Graph the inequality 3 + 4 ≤20.
4.The ordered pair (3, −4) is a solution to the inequality 3 + 4 ≤ 20.
Explain why
this is not a viable solution in the context of buying grapes and apples.
5. The ordered pair (4, 2) is a point on the boundary line. Explain what the ordered
pair represents in the situation.
Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
What is inequality, exactly?An unbalanced connection between two expressions or values is referred to in mathematics as an inequality. So, inequity results from imbalance. In mathematics, an inequality defines the connection between two non-equal quantities. Egality and inequality do not mean the same thing. Use the not equal sign whenever two values are not equal (). It is possible to compare values of any size using a variety of inequalities. By changing both sides until only the variables are left, it is possible to solve many straightforward inequality problems.
Here,
Given : 3x + 4y ≤ 20.
where x is the no of apples
and y is the no of grapes
Thus,
Part a:
where x is the no of apples
and y is the no of grapes
Part b:
Inequality signs means that 20 will be the maximum amount of the no of apples and no of grapes summation.
Part c: ordered pair (3, −4)
Thus,
putting in the inequality we find:
=> 3(-3)+ 4(-4)
=> -6 -16
=> -22
Thus , it is not a solution for inequality.
Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
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In a poll, 411 students voted. Nominee C received 2 3 of the votes. How many votes did Nominee C receive?
Answer: 274 votes
Step-by-step explanation:
Since we are informed that in a a poll that 411 students voted and Nominee C received ⅔ of the votes.
Therefore, the number of votes that Nominee C received will be:
= ⅔ × 411
= 274
Therefore, Nominee C got 274 votes
Four thousand two hundred carnations were reserved for use on thge float. If this was 7/10 of the flowers needed, how many glowers would be on the float
The flowers on the float would be 6.000 flowers. The result is obtained by using fraction multiplication.
How to count a set of objects using fractions?Fraction represents the part of a set of objects. It has two parts separated by a dividing line, namely numerator at the top and denominator at the bottom.
For example:
1/4 (one-fourth)2/5 (two-fifth)It means one of four parts and two of five parts.
We have four thousand two hundred carnations on the float. It was 7/10 of flowers needed. Find the whole flowers on the float!
The carnations of a set of flowers is 7/10. It is 4200 carnations.
The carnations part is 7 and the whole part of flowers is 10.
Using fraction, the whole flowers would be
= 10/7 × 4200
= 6.000 flowers
Hence, the number of flowers needed to be on the float is 6.000 flowers.
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Find the ratio of the volume of the cone to the volume of the cylinder. Express your answer as a common fraction.
The ratio of the volume of the cone to the cylinder is 1:3.
A cone has a circular base and the base is made of a radius and diameter.
The volume of a cone is defined as the amount of space a cone occupies. The formula of the volume of a cone is given as one-third the product of the area of the circular base and the height of the cone. If the radius of the cone is "r" and the height is "h", the volume of a cone is given as V = (1/3)πr²h.A cylinder is a three-dimensional solid shape that makes of two parallel bases linked by a curved surface.
Thus, the volume (V1) of a right circular cylinder, using the above formula, is,V1= πr²h
Here,
'r' is the radius of the cylinder
'h' is the height of the cylinder
π is a constant whose value is 22/7.
The ratio of the volume of the cone to the cylinder is
= (1/3)πr²h : πr²h
= 1 : 3
So, the ratio is - 1:3.
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What is the length of EH
Answer:
It could be 3x - 3
Step-by-step explanation:
Susan has a rectangle and a right triangle.
• The length of the rectangle is 4 more than its width, w.
.
• The length of the shorter leg of the triangle is equal to the rectangle's
width.
• The length of the longer leg of the triangle is twice the length of the
rectangle.
Answer:
A. 2w² + 8w
Step-by-step explanation:
rectangle: A = w(w+4) = w² + 4w
triangle: A = 1/2(2(w+4)(w)) = 1/2(2w+8)(w) = 1/2(2w²+8w) = w² + 4w
Total Area = w² + 4w + w² + 4w = 2w² + 8w
Given the line y = − 2 5 x + 3, determine if the given line is parallel, perpendicular, or neither. Select the correct answer for each lettered part. A. y = 2 5 x + 7 A Parallel B Perpendicular C Neither B. 5y + 2x = −10 A Parallel B Perpendicular C Neither C. −5x + 2y = 4 A Parallel B Perpendicular C Neither
Answer:
(a) Neither
(a) Perpemdicular
Step-by-step explanation:
Required
Determine the relationship between given lines
(a)
[tex]y = -\frac{2}{5}x + 3[/tex]
and
[tex]y = \frac{2}{5}x + 7[/tex]
An equation written in form: [tex]y=mx + b[/tex] has the slope:
[tex]m \to slope[/tex]
So, in both equations:
[tex]m_1 = -\frac{2}{5}[/tex]
[tex]m_2 = \frac{2}{5}[/tex]
For both lines to be parallel
[tex]m_1 = m_2[/tex]
This is false in this case, because:
[tex]-\frac{2}{5} \ne \frac{2}{5}[/tex]
For both lines to be perpendicular
[tex]m_1 * m_2 = -1[/tex]
This is false in this case, because:
[tex]-\frac{2}{5} * \frac{2}{5} \ne -1[/tex]
(b)
[tex]5y + 2x = -10[/tex]
and
[tex]-5x + 2y = 4[/tex]
Write equations in form: [tex]y=mx + b[/tex]
[tex]5y + 2x = -10[/tex]
[tex]5y = -2x +10[/tex]
Divide by 5
[tex]y = -\frac{2}{5}x +2[/tex]
[tex]-5x + 2y = 4[/tex]
[tex]2y = 5x + 4[/tex]
Divide by 2
[tex]y = \frac{5}{2}x + 2[/tex]
In both equations:
[tex]m_1 = -\frac{2}{5}[/tex]
[tex]m_2 = \frac{5}{2}[/tex]
For both lines to be parallel
[tex]m_1 = m_2[/tex]
This is false in this case, because:
[tex]-\frac{2}{5} \ne \frac{5}{2}[/tex]
For both lines to be perpendicular
[tex]m_1 * m_2 = -1[/tex]
This is true in this case, because:
[tex]-\frac{2}{5} * \frac{5}{2} = -1[/tex]
Cancel out 2 and 5
[tex]-1 = -1[/tex]
Can someone please help my daughter. It's on a timer so she has 10 minutes left. No links people no links no links. The question is in the picture. It's the question Number 2.
Answer: 108° ; 165°
Step-by-step explanation:
180(n - 2) is the formula to figure out the total degrees in a polygon.
A pentagon has 5 sides, so:
180(5-2) = 180(3) = 540°
Divide the total degrees by the number of angles (a pentagon has 5 angles):
540° ÷ 5 = 108°
24-gon:
180(24 - 2) = 180(22) = 3960°
3960° ÷ 24 = 165°
Answer: 108° ; 165°
Step-by-step explanation:
180(n - 2) is the formula to figure out the total degrees in a polygon.
A pentagon has 5 sides, so:
180(5-2) = 180(3) = 540°
Divide the total degrees by the number of angles (a pentagon has 5 angles):
540° ÷ 5 = 108°
24-gon:
180(24 - 2) = 180(22) = 3960°
3960° ÷ 24 = 165°
Water boils at 100 ° C 100°C100, degree, start text, C, end text. This is 400 % 400%400, percent more than my room's temperature.
Answer:
The temperature of the room is 25 degree Celsius
Step-by-step explanation:
The complete question is
Water boils at 100 ° C. This is 400 % percent more than my room's temperature. What is the temperature of room
Solution
Temperature at which water boils is 100 degree Celsius
Temperature of room is 400 % of X
[tex]100 = \frac{400}{100} * X\\100 = 4 * X\\X = \frac{100}{4} = 25[/tex]
Hence, the temperature of the room is 25 degree Celsius
/_A and /_B are vertical angles. If m /_A = (5x + 2)° and m /_ B = (6x - 12)°, then find the value of x.
Answer:
x = 14
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If ∠A and ∠B are vertical angles
Then 5x + 2 = 6x - 12
^ ( Note that we just created an equation that we can use to solve for x )
The rest comes down to basic algebra
5x + 2 = 6x - 12
step 1 subtract 5x from each side
5x - 5x cancels out
6x - 5x = x
we now have 2 = x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
2 + 12 = 14
we're left with x = 14
Trina is the age of her grandfather, less 5 years. Their combined age is 95 years. How old is Trina? How old is her grandfather?
Answer:
Trina is 45 years old.
Her grandfather is 50 years old.
Step-by-step explanation:
Trina is 5 years younger than grandfather, therefore:
45+50 = 95
What is == and === in Python?
The == operator determines if two operands are equivalent in terms of value. The === operator determines if two operands are equivalent in terms of value and datatype.
The assignment operator = is straightforward. The left side operand receives values from the right side operands.
On the other hand, == determines whether or not the values of two operands are equal.
The Python is operator determines if two variables point to the same memory item as opposed to the == operator, which compares the value or equality of two objects. This implies that you should almost always employ the equality operators == and != Difference between == and = in Python.
A single equal sign is used to assign a value to a variable in Python and many other programming languages, whereas two successive equal signs are used to determine if two expressions provide the same result.
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33
Problem 2
m, p, and z represent the lengths of the three sides of this right triangle.
m
i
Z
Р
Select all the equations that represent the relationship between m, p, and z.
Therefore , the solution of the given problem of equation comes out to bem² + p² =z².
Equation: What is it?The Latin word equ has the meaning of equivalent. Many of the English language's changeable terms, including adequate, temperate, and equality, contain Latin roots in their base words. The Latin root word equ enters our lexicon rather easily because both sides of an equation are, by essence, "equal" to one another.
Here,
Given : a triangle of m,p,z of length of right triangle :
By using Pythagoras theorem :
The relationship comes out to be :
=> m² + p² =z²
Thus , relationship between m , p and z is m² + p² =z² as per Pythagoras theorem.
Therefore , the solution of the given problem of equation comes out to be m² + p² =z².
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What is numerical coefficient in 3xy?
The numerical coefficient in 3xy is 3.
In algebraic expressions, terms are made up of coefficients and variables. A coefficient is a numerical value that multiplies a variable or a set of variables. In the term 3xy, the numerical coefficient is the number that appears in front of the variable (x and y) and it's 3 in this case.
It is used to indicate the degree of the term or the number of times the variable is present in the term. In this case, it is indicating that the variable x and y are present three times in the term.
It's important to note that if there is no coefficient before the variable, it is assumed to be 1. It's also noteworthy that the coefficient can be a whole number, a fraction, or even a variable, but in this case it is a whole number. Understanding the concept of coefficient is very important in understanding algebraic equations and expressions.
The numerical coefficient in 3xy is 3.
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Which represents the solution set of 5(x+5) <85?
Ox< 12
O x> 12
O x < 18
O x> 18
Answer: O x<12
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
5x+25<85
Step 2: Subtract 25 from both sides.
5x+25−25<85−25
5x<60
Step 3: Divide both sides by 5.
5x/5 < 60/5
x<12
The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?
Answer:
3.844 x 10 to the power of 5 is the answer i think
Step-by-step explanation:
Answer:
If the other person is correct then it should be 3.844 x 10^5 and 3.844E5 as well
Step-by-step explanation:
heyy! i’ll give brainliest please help
Answer:
d. Atlantic Ocean
Answer:
Atlantic Ocean
Hi!
ik -2x+9 is x=4.5 so are the number 4.5 apart and if so what do i do after that
The function y = -2x + 9 have ordered pairs (-4, 17), (-2, 13), (0, 9), (2, 5) and (4, 1)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given that:
y = -2x + 9
When x = -2; y = -2(-2) + 9 = 13
When x = 0; y = -2(0) + 9 = 9
When x = 2; y = -2(2) + 9 = 5
When x = 4; y = -2(4) + 9 = 1
The function y = -2x + 9 is a linear equation
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Question 22 This question has two parts. First, answer Part A. Then, answer Part B. Part A STATE YOUR ASSUMPTION Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal. Then she arranges the four resulting triangles to make a large square quilt block. She wants the large quilt block to have an area of 36 square inches. A. What side lengths should Liling use for the two small squares of material? Explain. Round to the nearest tenth, if necessary. In. ; For the block to have an area of 36 square inches, each side must be V2 in. Or about inches. By the inches. This means the hypotenuse of each small right triangle is V2 inches 45°-45°-90° Triangle Theorem, the sides of these triangles measure Part B Do b. Explain any assumption that you make to answer part a. Next Question Check Answer Privacy and Cookies | Terms of Use | Minimum Requirements Platform Status 2021 McGraw-Hill Education. All Rights Reserved.
Blank space 1: 3
Blank space 2: 4.242
Blank space 3: 6
Blank space 4: 6
Blank space 5: 3
This can be solved using triangle theorem.
What is triangle theorem?The first theorem, a triangle's three inner angles can be added up to 180 degrees. According to this theorem, if ABC is a triangle, then ∠A + ∠B + ∠C = 180°.The second theorem states that an isosceles triangle's base angles are congruent or that its opposing sides' angles are also equal in size.The third theorem states that the total of the equivalent internal angles is equal to the size of the exterior angle of a triangle.Given that,
Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal.
The bigger square = 36 sq. in.
Then the side of the bigger square = √36 inch = 6 inch
Next, The side of the bigger square = Diagonal of the smaller square
Let the side of the smaller square = a (let)
Diagonal (smaller square): a√2 = 6 inch
so, a = 3√2 inch
Thus, a = 3 x 1.414 = 4.242
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The complete question is as follows:
Jane spent $40 on flowers. Each small flower cost $2, and each large flower cost $3. Write an equation that describes the relationship between cost and number of flowers purchased, where X is the number of small flowers and Y is the number of large flowers.
Answer:
Step-by-step explanation:
he small ones cost $2 and the bigger ones cost $3. So to get the answer you will need to multiply the number of flowers with the cost. In this case 2 times x and 3 times y. x represents the small flowers and y represents the big flowers.
Answer:
2x + 3y = 40
Step-by-step explanation:
Solve for x and show work. Round to the tenths place.
What is 5 1/4 as a single fraction greater than 1
Answer:
21/4
Step-by-step explanation:
(5 * 4) + 1
20 + 1
21/4
Allison is comparing prices of different cell phones. She made a dot plot to show the prices. How can she find the most common price?
Answer:
The answer is "Find the tallest stack of dots".
Step-by-step explanation:
In this question, we assume that the prices of the plot area on the X (horizontal), and the Y (Vertical) axis are on the cell phone. This price is 90 dollars. Whenever the price is X1, she sets a dot there. When brand X2 is that price also, it places a coordinate point ($90, X2) well above point on either brand at the same price. Therefore, the bigger pile of teams overall that the rates are more mobile phones.
Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
5(x - 10)
Answer here _________
The value of the expression using the distributive property is 5x + 50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5 (x - 10)
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
5 (x - 10)
= 5x + 5 x 10
= 5x + 50
Thus,
The expresssion is 5x + 10
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Can you Please help me
Answer: 290 yd^2
Step-by-step explanation:
Tip: split the shapes into areas that are easier to compute
Rectangle 1 = bh = 10yd x 28 yd = 280 yd^2
Rectangle 2 = bh = 2yd x (10-5)yd = 10 yd^2
280 yd^2 + 10 yd^2 = 290 yd^2
An office manager is planning to set up three computer workstations and a file cabinet in a space that is 27 feet wide. The file cabinet takes up 3 feet. What is the width of the space available for each computer station?
Answer:
The width of the space available for each computer station is 8 feet-------------------------------
The width of the space for computer stations is:
27 - 3 = 24 feetEach computer station has a space of:
24/3 = 8 feetto simplify the expression 3+5×3-8÷4
Answer:
f) 5x 3
Step-by-step explanation:
You do multiplication first
I will mark you brainlist!
Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of % in hr
The expression when Buffalo New York had 2ft of snow on the ground before a snowstorm is 2 - 0.25h.
How to illustrate the expression?From the information, Buffalo New York had 2ft of snow and we want to find the. expression based on the information given.
An expression have at least two terms which have to be related by through an operator.
Since Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. The expression will be:
2 - (25% × h)
= 2 - 0.25h
h = number of hours.
The expression is 2 - 0.25h.
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Complete question
Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. Illustrate the expression