By using proportions, it is discovered that each favor costs $5.
Using the rule of three and proportions, this problem can be resolved.
The party's price is increased by $40 with the addition of 8 favors.
A proportion is an equation that sets two ratios at the same value.
How much does one favor cost?Using the rule of three and proportions, this problem can be resolved.
The party's price is increased by $40 with the addition of 8 favors.
The threes rule states:
$40 for 8 favors
$1 for 1 favor
Cross-multiplication application
8x=40
x= 40/8
x = 5
There is a $5 fee for each favor.
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4).
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x-3 divided by x^2 + 5x + 2
Answer:
[tex]6x - \frac{3}{X^2} + 2[/tex]
Step-by-step explanation:
Hope this is correct and helps you! :))
help me these two questions please
The values are given as;
1. - 2a - 9 = 6a + 15, a = -3
2. 14 + 3n = 5n - 6, n = 10
What is an algebraic expression?An algebraic expression can simply be described as a mathematical expression that composed of arithmetic operations, such as;
ParenthesesAdditionsubtractionBracketDivisionMultiplicationThey are also known to be made up of terms, variables, constants, factors and coefficients.
Given the algebraic expression;
- 2a - 9 = 6a + 15
Let's take the following steps;
collect like terms
- 2a - 6a = 15 + 9
add or subtract like terms
-8a = 24
Make 'a' the subject
a = 24/-8
Find the quotient
a = -3
14 + 3n = 5n - 6
collect like terms
3n - 5n = -6 - 14
-2n = -20
Make 'n' the subject of formula
n = 10
Hence, the values are -3 and 10
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Rida writes a fitness blog. At a certain point, she has 6,218 followers. Then the following events happen, in order: 92 people stop following Rida's blog. 417 people start following Rida's blog. The number of followers doubles. Use the drop-down menus to answer the questions below.
The number of followers Rita has is 13086.
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,
The number of followers Rida has = 6,218
92 people stop following Rida's blog.
This means,
6218 - 92 = 6126
417 people start following Rida's blog.
This means,
6126 + 417 = 6543
The number of followers doubles.
This means,
6543 x 2 = 13086
Thus,
The number of followers Rita has is 13086.
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3. x^3= 25
4.x² = 125
Step-by-step explanation:
Hope this helps..............
brainliest please
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 21 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
63.7 inches to nearest tenth.
Step-by-step explanation:
The legs of the right triangles formed are 21 inches and 1/2*18 = 9 inches.
So, the hypotenuse (which is one of the congruent sides of the isosceles triangle)
= √(21^2 + 9^2
= √522 inches
Therefore, the triangles perimeter
= 2 * √522 + 18
= 63.695 inches.
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 14 fl oz per hour. How fast was the pipe leaking in gallons per day? 2 SEE ANSWERS
Since there are 128 fluid ounces in one gallon, we need to divide 14 by 128 to change ounces into gallons.
Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour.
Combining these: 14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr) = 6.5625 gal per hour.
Written as a mixed fraction: 6 9/16 gal per hour.
Suppose that 13 inches of wire costs 52 cents.
At the same rate, how many inches of wire can be bought for 36 cents?
Answer:
9 inches
Step-by-step explanation:
Set it up like a fraction ratio and solve for x. as the price (denominator) and amount (numerator) have a set ratio, you can cross-multiply for your answer.
[tex]\frac{13}{52} =\frac{x}{36\\}\\[/tex]
13*36 = 468
468/52 = 9
Another way would be to divide 13 by 52 and multiply by 36, but then you end up with decimals and cross multiplication will be easier in the long run.
1. In polynomial x - 12; 12 is a ______
Answer :- Constant term
In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.
The segments shown below could form a triangle 6 5 8 true or false
It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.
What is a Triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.
This is shown as follows:
6 + 5 = 11 > 8
5 + 8 = 13 > 6
8 + 6 = 14 > 5
Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.
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True, the segments 6, 5, and 8 form a triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let ABC is a triangle
AB=6
BC=5
CA=8
To form a triangle the sum of any two sides must be greater than the third side.
AB+BC>CA
6+5>8
11>8
BC+CA>AB
5+8>6
13>6
CA+AB>BC
8+6>5
14>5
It satisfies the condition for forming a triangle.
Hence the segments form a triangle.
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Use the order of operations to demonstrate that the Distributive Property holds by showing that both sides of each equation are equal.
RHS= 2*4/5*3+2*1/5*3
= /15+2/15
= +2/15
= /15
= /3
Applying the distributive property and precedence of operations, the results to each side of the expression is of 2/5, hence they property holds.
Left-hand side:The left-hand side of the expression is defined as follows:
2/5(4/3-1/3)
Applying the distributive property, 2/5 multiplies each term as follows:
2/5(4/3-1/3) = 8/15 - 2/15
(multiplication of fractions -> multiply numerators and denominators with themselves).
They have common denominator, then the subtraction of the fractions is calculated as follows:
2/5(4/3-1/3) = 8/15 - 2/15 = 6/15
6 and 15 are divisible by 3, hence the fraction is simplified as follows:
6/15 = 2/5.
Right-hand sideThe right-hand side of the expression is given as follows:
2/5 x 4/3 - 2/5 x 1/3
We have two operations, subtraction and multiplication. The multiplication has higher precedence, hence:
2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15
Then the procedure is the same as the left-hand side, obtaining an equal result, and so the distributive property holds.
Missing information2/5(4/3-1/3)=2/5*4/3-2/5*1/3
We need to solve:
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Rewrite the function f(x) = 7(1/2)^3x using the properties of exponents.
A) f(x) = 7(3/6)^x
B) f(x) = 7(1/8)^x
C) f(x) = 21(3/6)^x
D) f(x) = 343(1/8)^x
Answer:
B
Step-by-step explanation:
[tex]f(x) = 7( { \frac{1}{2} })^{3x} \\ f(x) = 7 ({ \frac{1 \times 1 \times 1}{2 \times 2 \times 2} })^{x} \\ f(x) = 7 ({ \frac{1}{8} })^{x} [/tex]
what is the missing measurement (w) for the poster of spongebob.
To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)
This is:
[tex]\frac{12\operatorname{cm}}{20\operatorname{cm}}=\frac{w}{36\operatorname{cm}}[/tex]due in an hour pls help!!
Answer:
I think it's (4,5)
Step-by-step explanation:
the slop of (10,8) and (1,9)
Answer:
slope = -1/9
Step-by-step explanation:
Hope this helps!!!
A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the bicycles can be modeled by the function ��(��) =− 2�� , where x is the price of each bicycle. Which of the 2+ 920�� + 84, 000 following is a sale price for the bicycles that will allow the company to achieve a profit of $189,800?
Answer:120 dollars
Step-by-step explanation:
Write answer in scientific notation
(1.94 × 10³) (8 × 10")
Scientific notation the
Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? A. (-7, -1), 36 units B. (7, 1), 36 units C. (7, 1), 6 units D. (-7, -1), 6 units
The coordinates for the center of the circle is (-7,-1) and the length of the radius is 6 units , the correct option is (D) .
If the equation of the circle is x² + y² + 2fx + 2gy + c = 0
then the center is (-f,-g)
and the radius is √(f²+g²-c)
In the question ,
it is given that the
equation of the circle is x² + y² + 14x + 2y + 14 = 0
So , on comparing it with the general form of equation , we get
2f = 14
f = 7
and 2g = 2
g = 1
hence, the center is (-7,-1) .
the radius is √(7² + 1² - 14)
= √(49 + 1 - 14)
= √(50 - 14)
= √36
= 6
Therefore , The coordinates for the center of the circle is (-7,-1) and the length of the radius is 6 units .
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if 124 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $274, how many of each went to the concert?
Answer: (52,72) (52 adults and 72 children)
Step-by-step explanation:
1) Create 2 formulas that show the information show above, 2.5x+2y=274 showing how the x is how many adults paid for a ticket and y is how many children paid for a ticket. The second formula being x+y=124 meaning the combination of children and adults equal 124 people.
2) Take those formulas and input them into a graph as shown in the picture (Graph 1)
3) Find the common point shown on the graph (should be the middle grey dot if on Desmos as shown (Graph 2)
4) The common point is (52, 72)
And if you plug these numbers in by replacing the x's and y's i shown in step 1 they bring an output of 274 and 124
Hope this helps :)
need help on this, thanks
For the given parallel lines with transversal ,and the pair of interior angles 72° and (7x +24)°, the value of x = 12°.
As given in the question,
Two parallel lines with transversal are given.
72° and (7x +24)°are pair of interior angles
Simplify the given relation to get the value of x we have,
72° + (7x +24)° =180°
⇒ 7x + (72 +24)° =180°
⇒ 7x + 96° = 180°
⇒ 7x = 180° - 96°
⇒ 7x = 84°
⇒ x = 84° /7
⇒ x = 12°
Therefore, for the given parallel lines with transversal ,and the pair of interior angles 72° and (7x +24)°, the value of x = 12°.
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Write an equation of a line that is parallel to the
given line. Then, write one that is perpendicular.
x = -4
Answer:
X=ℝ, Y=ℝ
Step-by-step explanation:
Parallel means they have the same slope so it can be anything on the x-axis, perpendicular meaning opposite slope which is y=.
2
The graph of a linear function is shown
below. What is the domain of the
function?
Answer:
G
Step-by-step explanation:
the domain is the interval or set of all valid x values.
we see x starts at -3 and goes up to +1.
but x = 1 has the be excluded (the hollow point tells us that, a filled point says "include").
therefore, the -3 <= x < 1 answer is correct
1.5x+0.5y=12
a. solve for y
b. find ordered pairs for the function
Answer:
Step-by-step explanation:
y=-3x+24
(0,24)
Help in this asap due soon
Answer:
Q4) 20
Q5) 48%
hope this helps
What is (30 x 10 to the power of 6) + (40 x 10 to the power of 5)
Answer: 7.3924E14
Step-by-step explanation:
X 79°
y
Z
m
n
Helpppppppppppppppp
Step-by-step explanation:
79 degrees plus X would make 180 degrees, because these two angles make up a straight angle.
So, 79 + X = 180
-79 -79
X=101 degrees.
Y is 79 degrees because it is an alternate interior angle to the other 79 degree angle.
Z is 101 degrees because X and Z are corresponding angles, which means they are equal.
If Z is 101 degrees, Y must be 79 degrees because Y and X make up a straight angle.
Answer:
X is 101 degrees. Y is 79 degrees. Z is 101 degrees.
Hope this helped! :)
Select the correct words in the problem so no answers are duplicatedIdentify the different parts of the expression below.3.9253g2 + 8(24 – 2p)nee eduseIn the mathematical expression,2p represents aA difference24 - 2p represents adifferencecoefficient® coefficientproduct© product2sumquotientOsumquotient53p2represents aA difference® coefficientod productosumquotient3 represents a A differenceclercoefficienta© productOsum© quotient
Explanation
To answer the question, we have to understand the different parts of an algebraic expression
An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.
We are given the algebraic expression:
[tex]\frac{3p^2}{5}+8(24-2p)[/tex]For the given question
The difference means the result of subtracting one number from another or How much one number differs from another, so we have
[tex]24-2p\text{ representing Difference}[/tex]Then
The coefficient is is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial, so we have
[tex]3\text{ representing coefficient}[/tex]Also
A quotient is a number resulting from the division of one number by another, so we have
[tex]\frac{3p^2}{5}\text{ representing a quotient}[/tex]Finally,
A product is the result of multiplication or an expression that identifies factors to be multiplied.
Thus, we have
[tex]2p\text{ representing a product}[/tex]Use the order of operations to evaluate.[tex]16.5 + ({62 }^{2} - 15.6) - 2[/tex]
Thus, the final answer is 34.9.
2.
[tex]16.5+(6^2-15.6)-3=16.5+(36-15.6)-3[/tex]Find an equation for the perpendicular bisector of the line segment whose
endpoints are (-3, 2) and (7, 6).
Answer:
The perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is y = - 2.5x + 9================
Given Points (-3, 2) and (7, 6)To findThe equation of the perpendicular bisector of the segment with given endpoints.SolutionFind the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.
The midpoint has coordinates:
x = ( - 3 + 7)/2 = 4/2 = 2,y = (2 + 6)/2 = 8/2 = 4.The slope:
m = (6 - 2)/(7 - (-3)) = 4/10 = 2/5We know perpendicular lines have opposite/reciprocal slopes.
So the slope of the perpendicular bisector is:
m = - 1/ (2/5) = - 5/2 = - 2.5Use the coordinates of the midpoint and point-slope equation to determine the line:
y - 4 = -2.5(x - 2)y - 4 = - 2.5x + 5y = - 2.5x + 5 + 4y = - 2.5x + 9Answer:
[tex]y=-\dfrac{5}{2}x+9[/tex]
Step-by-step explanation:
A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.
Given endpoints of the line segment:
(x₁, y₁) = (-3, 2)(x₂, y₂) = (7, 6)Substitute the given endpoints into the slope formula to find the slope of the line segment:
[tex]\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, the slope of the perpendicular line is -⁵/₂.
Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:
[tex]\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(2,4\right)[/tex]
To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}(x-2)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}x+5[/tex]
[tex]\implies y=-\dfrac{5}{2}x+9[/tex]
Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:
[tex]\boxed{y=-\dfrac{5}{2}x+9}[/tex]
Question 18 of 25
What are the more appropriate measures of center and spread for this data
set?
H
16
22 24 26
0246 8 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of spread: standard deviation
B. Better measure of center: mean
Option C and Option D are the appropriate measurements of center and spread for the dataset.
What are the best measures of center and spread of the data?The mean, median, and mode are three examples of center-of-data measurements.
Included in the spread measurements are range, mean deviation, variance, and standard deviation.
The given data is displayed as a box plot with the minimum, maximum, median, Q1 and Q3 values.
The median is the most accurate measurement of the middle of the data.
The interquartile range is the appropriate way to measure spread.
In conclusion, the median and interquartile range, respectively, are the most suitable measures of the data set's center and dispersion.
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The scores for 21 students on an exam are summarized
in the stemplot below.
Exam Scores
4
5
69
7 125567
8012455699
9
90147
Key: 910 = 90% on the exam
The teacher realizes that a mistake was made and the
student whose score was recorded as 49% should have
been 69%. If the mistake is corrected, what effect will
this have on the mean and median scores?
The mean and median will both increase.
* Neither the mean nor the median will change.
The mean will increase but the median will
decrease.
The mean will increase but the median will be
unchanged.
It’s D :)
The median value is the 11th score which is 84%.Changing 49% to 69% will increase the mean but the median will not change.
What are mean, median and mode ?The three measures of central tendency used in statistics are mean, median, and mode. While describing a set of data, we always specify the focal point of any data set. The measure of central tendency is this. Every day, data are presented to us. We discover them in books, articles, bank statements, phone and utility bills, as well as in newspapers. There are so many; they are all around us. The challenge now is if we can identify some key characteristics of the data by focusing on only a few data points. The means, medians, and modes—measures of central tendency or averages—can be used to do this. When describing a set of data, a measure of central tendency locates the set's center.
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Answer:
IT WAS NOT D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation: