margaret is planning a wedding reception she wants to spend less than her budget of $5,323 and margaret has already spent $2,748 the meal price per guest is $25 how many quests, x, can margaret invite to the reception and stay under budget on a number line graph
Answers
Margaret can invite up to 102 guests and still stay within her budget for the wedding reception. This constraint is illustrated on a number line with a break at 103.
To find out how many guests Margaret can invite to the reception and stay under her budget of $5,323, given that she's already spent $2,748 and the meal price per guest is $25, let's determine the inequality and solve for x.
Formulate the Inequality
Margaret's remaining budget after her initial spending is:
[tex]\[ 5,323 - 2,748 = 2,575.[/tex]
If she wants to stay within this budget, and the meal price per guest is $25, the total cost for (x ) guests is:
[tex]\[ 25 \times x. \][/tex]
Margaret wants to spend less than her remaining budget, so the inequality is:
[tex]\[ 25 \times x < 2,575. \][/tex]
Solve for x :
To find x, divide by 25:
[tex]\[ x < \frac{2,575}{25}, \][/tex]
x < 103.
Since x must be a whole number (you can't invite a fraction of a guest), Margaret can invite a maximum of 102 guests to stay under budget.
Graph on a Number Line
On a number line, draw an open circle at 103, indicating that 103 is not included in the set of possible guest counts.
Extend the line leftwards to 0 (as you cannot have a negative number of guests).
|------|------|------|------|------|
0 25 50 75 100 125
The asterisk represents the open circle, indicating that the maximum number of guests is strictly less than 103.
Margaret can invite 103 guests to the reception and stay under budget. Number line A includes the largest number of guests.
In order to write a linear inequality to describe this situation, we would assign a variable to the number of guests can Margaret invite while staying within her budget, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of guests.
Since Margaret wants to spend less than her budget of $5,323, and she has already spent $2,748, and the meal price per guest is $25, a linear inequality that models this situation is given by;
2748 + 25x < 5323
25x < 5323 - 2748
25x < 2575
x < 2575/25
x < 103
In this context, we can logically deduce that the largest number of guests Margaret can invite without exceeding her budget is correctly represented by number line A, with a hollow dot located at 104.
Complete Question;
Margaret is planning a wedding reception. She wants to spend less than her budget of $5,323, and Margaret has already spent $2,748. The meal price per guest is $25. How many guests, x, can Margaret invite to the reception and stay under budget?
Select the number line that includes the largest number of guests Margaret can invite without exceeding her budget.
Related Questions
9. Which number is rational?
(1) Square root of
(2) pi (symbol)
(3) 5 square root 9
(4) 6 square root 2
Answers
Sr of 9 is a perfect square so it’s rational
Answer:
5 square root 9
Step-by-step explanation:
A rational number is a number that can be put in fraction form.
You can easily take the square root of 9 to get 3, which you can multiply by 5 to get 15.
Since you can make 15 into 15/1, which is a fraction, it is rational.
-3y+5x=26,-2y-5x=-16
Answers
Answer:
x = 4 , y = − 2
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Answer:
x=4
y=-2
Step-by-step explanation:
We are give two linear equations and asked to solve them. The two equations are
-3y+5x=26
-2y-5x=-16
Adding both equations
-5y=10
Dividing both sides by -5
y=-2
Substitute y=-2 in first equation
-3(-2)+5x=26
6+5x=26
5x=20
Dividing both sides by 5
x=4
How do you solve (3+7i)(2-5i)and put it in standard form?
Answers
Answer:
41 - i
Step-by-step explanation:
note that i² = - 1
Given
(3 + 7i)(2 - 5i) ← expand the factors using FOIL
= 6 - 15i + 14i - 35i² ← collect like terms
= 6 - i + 35
= 41 - i ← in standard form
if two vertices of an equilateral triangle are the point (3,4) and (-2,3), find the coordinate of third vertic!s
Answers
Hope it helps.
If you have any query, feel free to ask.
For which object would a geologist use carbon-14 dating to determine age?
Answers
Answer:
The correct option is the first one. An animal skull
Step-by-step explanation:
The correct option is the first one. An animal skull
The radiocarbon dating, also referred to as carbon -14 dating, is used for the determining of the age of an object containing organic matter based on the properties of the radiocarbon.
The age detection of the ancient objects are very tough,due to no records are available about the objects.
That's why scientists use carbon-14 dating process.
In this picture, the only object that contains organic material is the animal skull, thus it is the only one that can be dated with this method.
Answer:
The correct option is animal skull
Step-by-step explanation:
Carbon-14 dating is a method for determining the age of an object containing organic material by utilising the properties of a radioactive isotope of carbon. As we have no records of the object, it's become very difficult to detect the age of an object . In such a situation, carbon-14 dating process helps .
In the given picture, animal skull is the only object that contains organic material , so it is the only object for which geologist would use carbon-14 dating to determine age.
Therefore, the correct option is animal scull ( first one )
Write the value of the digit in the hundreds place and the value of the digit in the tens place in 440. What is the relationship between the values of those two digits
Answers
Both of the digits in the hundreds and tens place are 4, making it a relationship. The 4 in the hundreds place is worth 400, the 4 in the tens place is worth 40, and the 0 in the ones place is worth 0.
Hope this helped!
Nate
6 - 0.617. WHAT IS SIX MINUS 0.617
Answers
Answer:
5.833
Step-by-step explanation:
SIX MINUS 0.617 IS 5.833
5x2 - 7x +5 +4x2 + 9x - 10
Answers
Hey!
------------------------------------------------
Solution:
5x² + (-7x) + 5 + 4x² + 9x + (-10)
(5x² + 4x²) + (-7x + 9x) + (5 + (-10))
9x² + 2x + (-5)
------------------------------------------------
Answer:
9x² + 2x + (-5)
------------------------------------------------
Hope This Helped! Good Luck!
0.0151515 convert repeating decimals to fractions
Answers
Answer:
1/66
Step-by-step explanation:
0.0151515 can be converted to the fraction 5/333.
Repeating decimals can be converted to fractions by setting the repeating part as x and subtracting the non-repeating part.
For example, to convert 0.0151515 to a fraction, let x = 0.015 and y = 0.1515, then subtract them: x = 0.015, 1000x = 15, y = 0.1515, 10000y = 1515. Subtract both: 999y = 1500 - 15 = 1485.
Therefore, the fraction is 0.0151515 = 15/999 = 5/333.
what is the value of the digit 3 in 20320
Answers
300
Step-by-step explanation:
It’s in the hundreds place
Correct Answers plz
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
Answers
Hey!
-------------------------------------------------
Solution:
1/2 are younger than 10.
1/20 are 10 years old.
1/10 are older than 10 but younger than 12.
70 are 12 years old.
Find Common Denominators.
1/2 = 10/20
1/20 = 1/20
1/10 = 2/10
Add.
10/20 + 1/20 + 2/10 = 13/20
Subtract.
20/20 - 13/20 = 7/20
So we now see that 7/20 = 70
Now we can see that 1/20 = 10
-------------------------------------------------
Answer:
There are 10 students that are 10 years old.
-------------------------------------------------
Hope This Helped! Good Luck!
Answer:
10
Step-by-step explanation:
0.50 = x<10
0.05 = 10
0.10 = 10<x<12
70 students = 12+
How many are 10 yrs old?
0.50 + 0.05 + 0.10 = 0.65
To find the percent, multiply it by 100
0.65 * 100 = 65%
70 are 35%
70/0.35 = 200 total
200 * 0.05 = 10 ten-year-old students
10
The figure shows a diver diving from a platform, the diver reaches a depth of 4meters what is the change in the elevation of the diver
Answers
Answer:
15ft
Step-by-step explanation:
you have to add 11 and 4 to get 15
The change of elevation of the diver is of 15 metres.
---------------------
Initially, the diver is stopped at a height of 11 metres.Then, he jumps, falling a distance of 11 metres, meaning that the initial change in elevation is of 11 metres.Finally, he reaches a depth of 4 metres, that is, 4 metres below the water, adding 4 metres more to the change in elevation, 11 + 4 = 15, and thus, the change of elevation of the diver is of 15 metres.A similar problem is given at https://brainly.com/question/24150365
what is the distance from A to B
Answers
Answer:
E is the same distance away from A, and A to B.
I need help ASPA with these two questions!!! <3 GIVE THANKS
1. Classify the expression: 5x3 + 2x − 3
Quadratic expression
Linear expression
Cubic expression
Exponential expression
2. Choose the expression that represents a quadratic expression.
12x4 − 2x3 + 5x2 − 9x − 6
2x3 + 5x2 − 9x − 6
12x2 + 8x − 1
−8x − 1
Answers
Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) By the number of terms is a trinomial, because has three terms
b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
Answer:
1. Cubic expression
2. [tex]12x^2+8x-1[/tex]
Step-by-step explanation:
1. We have the expression [tex]5x^3+2x-3[/tex] and we have to classify it.
A quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].
We can see that the first term is squared. And in the expression that we have to classify the first term is raised to the cubic, then it isn't a quadratic expression.
A linear expression has the form [tex]ax+b[/tex].
We can see that it only has two terms and the first term has exponent 1. The expression [tex]5x^3+2x-3[/tex] has 3 terms and the first term has exponent 2 then it isn't a linear expression.
A cubic expression has the form[tex]ax^3+bx^2+cx+d[/tex].
We can see that the first term is raised to the cubic. And [tex]5x^3+2x-3[/tex] is raised to the cubic.
We can rewrite it: [tex]5x^3+2x-3=5x^3+0x^2+2x-3[/tex]
[tex]a=5\\b=0\\c=2\\d=-3[/tex]
The expression [tex]5x^3+2x-3[/tex] agrees with the definition of a cubic expression. Then it's a cubic expression.
An Exponential expression has the form [tex]y=ab^x, a>0[/tex]
2. We said that a quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].
Then the expression that agrees with the definition is [tex]12x^2+8x-1,a\neq 0[/tex]
With,
[tex]a=12\\b=8\\c=1[/tex]
Which shape has a larger area: a rectangle that is 7 inches by 3/4 inch or a square with side length of 2 1/2 inches
Answers
Answer:
an rectangle
Step-by-step explanation:
because it is 7 inches and it is 3/4 inches
2.3.7
Solve x - 9y = 17 for y.
y=
(Use integers or fractions for any numbers in the expressions
Answers
Answer:
x - 9y = 17
x - 17 = 9y
( x - 17)/9 = y
what is the next function of 0,6,24,120,210
Answers
Answer:
240
Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
Answers
Answer:
28 meters²
Step-by-step explanation:
We can break the shape into two rectangles. One of the rectangles has length 5 and height 2. The other rectangle has a height of 6 and a width of three. You can refer to the attached image.
To find the total area, we simply have to sum the areas of the two rectangles.
[tex]A = 5*2 + 6*3\\A = 10 + 18\\A = 28[/tex]
The total are of the shape is 28 meters²
Answer:
28 m²
Step-by-step explanation:
The figure is composed of 2 rectangles
The right rectangle has sides 3m and 6 m
The left rectangle has sides 5 m and (6 - 4) = 2 m
The area (A) of the figure is the sum of the 2 rectangles which form it
A = (3 × 6 ) + (5 × 2 )
= 18 + 10
= 28 m²
What is the result when the number 25 is increased by 20%?
Answers
Answer:
30
Step-by-step explanation:
First find 20% of 25
25 x .20 = 5
Then add the product to the original number
25 + 5
Your answer is 30.
How much will a $1.42 loaf of bread cost in 25 years based on inflation
Answers
Answer:
the bread will cost around 28 dollars.
Step-by-step explanation:
To estimate the future cost of a $1.42 loaf of bread in 25 years based on inflation, we can use the compound interest formula with an assumed average inflation rate.
Explanation:To calculate how much a $1.42 loaf of bread will cost in 25 years based on inflation, we need to consider the rate of inflation over that period. However, without that specific data, we can estimate the future cost of the bread using past inflation rates.
Let's assume an average inflation rate of 2% per year. To calculate the future cost, we can use the formula for compound interest: Future Price = Present Price * (1 + Inflation Rate)^Number of Years
For the loaf of bread, the future price will be: $1.42 * (1 + 0.02)^25 = $2.63
Learn more about calculating future costs based on inflation here:https://brainly.com/question/33094405
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3/4 of what number is 6 times 4?
Answers
the answer would be 32
'
Answer:
32
Step-by-step explanation:
3/4 of what number is 6 times 4?
[tex]\frac{3}{4}x = 6(4)[/tex]
[tex]\frac{3x}{4} = 24[/tex]
[tex]3x = 24.4[/tex]
[tex]3x = 96[/tex]
[tex]x = \frac{96}{3}[/tex]
[tex]x = 32[/tex]
If Camillo goes with the better buy, how much will he pay for the 25 loaves of bread that he needs for the gourmet peanut butter and jelly sandwiches? Enter your answer to the nearest cent.
Answers
Answer:
let me fill your answer with this picture
Step-by-step explanation:
48.75 i belive
People wait for sales to
Answers
Answer:
go down
Step-by-step explanation:
They don¨t want to spend to much money on something so they wait.
Choose the graph that represents the equation y =|x|+2
Answers
Answer:
The correct graph is b)
Step-by-step explanation:
To solve this problem you have to think about the graph of |x|, and traslate 2 units up, in "y" axis beacuse +2 is outside the |x|. If +2 were inside |x| (|x+2|), you have tyo traslate 2 units to the left.
The graph that represents the equation y =|x|+2 is option B.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation is y=|x|+2
y equal to mod x plus two.
y=|x|+2
Let us find the graph by finding few x and y values of the equation.
x 0 1 2 3
y 2 3 4 5
The given points are exactly pointed in the second graph.
Hence, the graph that represents the equation y =|x|+2 is option B.
To learn more on Graph click:
https://brainly.com/question/17267403
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Where does each answer belong in the boxes?? Right answers only, help please!! :))
Answers
Answer:
Box 1: Quadrant I
Box 2: Quadrant II
Box 3: Quadrant III
Hope this helps.
Is angle 4 and angle 7 vertical angles? I think that they aren’t but I’m not quite sure..
Answers
Answer:
Yes
Step-by-step explanation:
∠4 = ∠7 ( vertical angles )
The angles are opposite angles of the vertex with the same straight lines
Angle 4 and 7 are vertically opposite angle.
What is vertically opposite angle?Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal.
in the given systems of line,
Angle 1, 2, 3, 4, 5, 6, 7, and angle 8 are given.
To determine angle 4 and angle 7 are vertically opposite or not.
Use vertically opposite angle property,
Since, angle 4 and 7 are at same vertex and apposite to each other,
Therefore, angle 4 and 7 are vertically opposite angles.
To learn more about Vertically opposite angle on:
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Kevin, Michael and Darren all do their own laundry at home. Kevin does his laundry every 9 days, Michael every 10 days, and Darren every 12 days. If they all did their laundry today, in how many days will the three of them all do their laundry again on the same day?
A. 100 Days
B. 144 Days
C. 180 Days
D. 212 Days
Answers
Answer:
In 180 days the three of them will do their laundry again on the same day.
Step-by-step explanation:
we need to find the least common factor or 9, 10 and 12:
LCM(9, 10, 12) = 180
A sign company charges $28 per yard for each custom-made banner. Ms. Gill orders two banners that are each 15 yards long, and one banner
that is 2 yards long. What will Ms. Gill pay for all three banners? Enter your answer in the box
Please help I need this before tomorrow
Answers
Answer:
Step-by-step explanation:
Do 28x15 then 28x2 and add those up
Answer:
$896
Step-by-step explanation:
We are given that
Charge of 1 yard for each custom-made banner=$28
Length of 1 piece=15 yards
Length of another piece=2 yards
We have to find that how much money payed by Ms.Gill for all three banners.
According to question
Cost of 15 yards long banner=[tex]28\times 15=[/tex]$420
Cost of 2 piece of 15 yards long banner=[tex]420\times 2[/tex]=$840
Cost of 2 yards long banner=[tex]2\times 28[/tex]=$56
Total cost of 3 piece of banners=840+56=$896
Hence, Ms gill pay for all three banners=$896
Identity each pair
V each pair of angles as complementary, supplementary, or neither.
More than 5tps please help quickly
Answers
Answer:
#17 Complementary
#18 Neither
Step-by-step explanation:
Complementary Angle: If sum of two angles is right angle then both angles are complementary to each other.
Supplementary Angle: If sum of two angles is straight angle then both angles are supplementary to each other.
#17 In figure 1
∠1 + ∠2 = 90°
Sum of ∠1 and ∠2 is 90° which is right angle.
Therefore, ∠1 and ∠2 are complementary angles.
#18 In figure 1
Sum of ∠1 and ∠2 neither 90° not 180°
Therefore, ∠1 and ∠2 neither complementary angles nor supplementary angles.
2/3+1/6= I need Help understanding fractions example. need a break down.
Answers
Answer:
[tex]\large\boxed{\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}}[/tex]
Step-by-step explanation:
You must have the same denominator to add two fractions.
LCD = 6
[tex]\dfrac{2}{3}=\dfrac{2\cdot2}{3\cdot2}=\dfrac{2}{6}[/tex]
[tex]\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{4}{6}+\dfrac{1}{6}=\dfrac{4+1}{6}=\dfrac{5}{6}[/tex]