Answer:
x=-2.1
Step-by-step explanation:
2 1/5 x 2 2/3 fravction
To multiply two mixed numbers, you can convert them to improper fractions and then multiply the numerators and denominators separately.
2 1/5 can be written as (2 x 5 + 1) / 5 = 11/5
2 2/3 can be written as (2 x 3 + 2) / 3 = 8/3
So the product of 2 1/5 x 2 2/3 is (11/5) * (8/3) = 88/15 which is equivalent to 5 8/15 or 5.533 repeating (if you want to express it as decimal)
You can simplify 88/15 by dividing both numerator and denominator by the greatest common divisor (GCD) which is 1 in this case, so the final result is 88/15.
Suppose a supermarket wants to sell eggs individually. Is there a price the supermarket can charge per egg that is between the prices per egg for the two different sized cartons?
The maximum price per egg that the supermarket may charge is $0.245 per egg, which is the difference between the pricing per egg for the 2 distinct cartons.
What do you meant by the term unitary method?The unitary approach involves calculating the price of a specific unit, from which we can calculate the values of the necessary number of units.The answer to the query is
The following details are available to us:
A carton of 12 eggs costs $3.00.18 eggs in such a different carton cost $4.32.We'll first calculate the cost per egg for each of the two different-sized cartons in order to determine the cost per egg that lies between the two costs.
We are aware that the cost of one product is determined by dividing the total cost by the quantity of products.
12 eggs cost in a carton = $3.001 eggs cost = $ (3.00/12) = $0.2412 eggs cost in a second carton = $4.321 eggs cost = $(4.32/18) = $0.24The price of an egg between 0.24 as well as 0.25 must now be determined.
Note that there is a 0.01 difference between the two fees.
To precisely determine the middle charge, we will split it by two:
0.01/2 = 0.005
This can be added to $0.24 or subtracted from $0.25.
$0.24 + $0.005 = $0.245
So, $0.245 is the maximum price the supermarket can charge per egg.
To know more about the unitary method, here
https://brainly.com/question/24587372
#SPJ1
The complete question is-
A carton of 12 eggs costs $3.00. A carton of 18 eggs costs $4.32. Suppose a supermarket wants to sell the eggs individually. Is there a price the supermarket can charge per egg that is between the prices per egg for the two different-sized cartons? Explain
Which one of the following is not equivalent to P <-> q?p only if qq is necessary for pq only if pp is sufficient for q
if pp is sufficient for q is not equivalent to P <-> q for p and q conditional statement
The true statements for the conditional statement p → q are;
If p then q
p, therefore q
q, if p
p is enough condition for q
Reason for the above selection
The conditional statement p → q is read as If p then q
The deductive validity of the conditional statement is; p, therefore q
The conditional statemen, p → q also means;
1) q, if p
2) q, provided p
3) p, only of q
4) p implies q
5) q whenever, p
6) p is enough condition for q
7) q is a necessary condition for p
Therefore, the correct statements are;
If p then q
p, therefore q
q, if p
p is enough condition for q
Learn more about conditional statement here;
https://brainly.com/question/18652468
#SPJ4
Which ratios have a unit rate less than 1? Choose ALL that apply.
According to our answer to the given question of ratio, Holly earns 4 share at $5 every, for a maximum of $20, and Jasmin receives just as, or
$ten (2 x $5).
What is a ratio?An ordered combination of numbers “ a ” and “ b that is stated as just a / b, where b not greater than zero, is referred to as a ratio. A ratio is the result of equation two ratios. If there were one boy and three girls, the ratio could be shown as 1:3. 1/4 are boys, and 3/4 are girls. A part is a number, a proportion of size, or a difference among two or more things.
Here,
There is a total of $30.
Gertie shares out $30 in such a 2:4 proportion.
The maximum number of outstanding shares is 6, which is 2 plus 4.
$5 per share is the result of dividing $30 by six.
Two parts, or $ten (2 x $5), go to Jasmine.
Holly will receive four $5 shares, for a totaling of $20.
According to our answer to the given question, Holly earns 4 share at $5 every, for a maximum of $20, and Jasmin receives just as, or $ten (2 x $5).
To know more about ratio visit:
brainly.com/question/13419413
#SPJ1
A survey was conducted to investigate whether alcohol consumption and smoking are related. In a random sample of 300 smokers, 196 said they had consumed alcohol at least once in the past week. In an independent random sample of 300 non-smokers, 159 said they had consumed alcohol in the past week. If P, is the proportion of smokers in the population who have had a drink in the past week and Po is the corresponding proportion of non-smokers, then a test of the hypotheses H P, -P = 0 against the two-sided alternative produces a test statistic of := 3.07 and a P-value of 0.002. If we had instead analyzed these results with a chi-square test of homogeneity, which of the following would be the test statistic and P-value?
a. 7-9.42, P-value = 0.002
b. 7-9.42, P-value - 0.004
c. - 3.07, P-value = 0.004
The Correct answer is option a. 7-9.42, P-value = 0.002 which is derived based on the given data about alcohol consumption.
The chi-square test of homogeneity is a statistical test used to determine whether there is a significant difference between the observed frequencies of two categorical variables.
In this case, the test statistic would be the chi-square value calculated using the observed frequencies of alcohol consumption in the sample of smokers and non-smokers, and the P-value would be the probability of obtaining a chi-square value as extreme or more extreme than the calculated value under the assumption that the null hypothesis is true (i.e. no difference in alcohol consumption between smokers and non-smokers).
In this case, the test statistic would be 7.942 and the P-value would be 0.002 which implies that there is a significant difference in alcohol consumption between smokers and non-smokers.
Learn more about Chi-Square Test here:
https://brainly.com/question/29850910
#SPJ4
2.Which of the following relations is a function?And why?
a. (1,0), (2,0)(3,4)
b. (1,0), (2,0)(2,4)
c. (1,0), (2,0)(3,0)
Answer:
A and B
Step-by-step explanation:
theres one input for each ouput
Find (13x−3)+(−34x−5)
Answer: -21x-8
Step-by-step explanation:
Combine the like terms
Which type of polynomial has no zero?A) Touches X-axis at any pointB) Intersects X-axis at two distinct pointsC) Does not intersect X-axis at any pointsD) Is in any half-plane of the X-axis.
In mathematics, an algebraic expression is an assertion built up from integer constants, variables, and algebraic operations. This article is all about to Monomials, Binomials, and Polynomials.
1. Monomial
An algebraic expression that carries only one non-zero term is known as a monomial. A monomial is a just like a type of polynomial, like, binomial and trinomial, which is an algebraic expression having only a one single term, which is a non-zero.
It comprises of only a single term which makes it easy to do the operation of addition, subtraction, and multiplication.
2. Binomial
An algebraic expression that comprises of two non-zero terms is known as a binomial. It is expressed in the form equation ax ^m + bx ^n where a and b number, x is variable, m and n are nonnegative distinct integers.
To know more about Polynomial:
https://brainly.com/question/11536910
#SPJ4
martha and axel went to the store to buy 3 apple, but only had a buget of 5 dollars
Answer:
i need more information to answer your question
Step-by-step explanation:
He radiu of the un i about 96,600,000 kilometer. The radiu of Earth i about 6370 kilometer. A. Write each radiu in cientific notation. B. The urface area S of a phere with radiu r i given by S = 4 π r 2 S=4πr 2. Aume the un and Earth are perfect phere. Find their urface area. Write your anwer in cientific notation. C. What i the ratio of the urface area of the un to the urface area of Earth? What doe the ratio tell you?
A. The radius of the sun in scientific notation is 9.66 x 10^8 kilometers and the radius of Earth is 6.37 x 10^3 kilometers.
B. To find the surface area of a sphere with a given radius, we can use the formula S = 4πr^2.
The surface area of the sun is 4π(9.66 x 10^8)^2 = 1.4 x 10^18 square kilometers.
The surface area of Earth is 4π(6.37 x 10^3)^2 = 5.1 x 10^10 square kilometers.
C. To find the ratio of the surface area of the sun to the surface area of Earth, we can divide the surface area of the sun by the surface area of Earth.
The ratio of the surface area of the sun to the surface area of Earth is: 1.4 x 10^18 / 5.1 x 10^10 = 2.7 x 10^7.
This ratio tells us that the surface area of the sun is 2.7 x 10^7 times larger than the surface area of Earth.
To learn more about surface area, refer to the link:brainly.com/question/29298005
#SPJ4
line L has equation y=1 find the distance between L and the point T(-1,-7)
round answer to nearest tenth
The distance between the line and the point is 8 units.
What is the cartesian plane?When two parallel lines intersect, a two-dimensional coordinate plane called the cartesian plane is created. The horizontal line is the X-axis, while the vertical line is the Y-axis. If the sign of x is positive, the coordinate point (x, y) in the Cartesian plane indicates that the point is on the right of the origin; otherwise, it indicates that the position is on the left of the origin.
Given a line L,
and the equation of a line is y = 1
actual equation of line is ax + by +c = 0
equation of line is 0x + y - 1 = 0
here a = 0, b = 1 and c = -1
and point T(-1, -7)
distance between line and the point is d = [tex]\frac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2} }[/tex]
x₁ = -1, y₁ = -7
|ax₁ + by₁ + c| = |0(-1) + 1(-7) +(-1)|
|ax₁ + by₁ + c| = 8
√(a² + b²) = √(0² + (1)²) = 1
distance between line and the point is d = 8/1 = 8 units
Hence the distance is 8 units.
Learn more about cartesian plane;
https://brainly.com/question/28574364
#SPJ1
3. For the polynomial function A(x) = x4 - 2x³ - 21x² +22x + 40 we know (x - 5) is
a factor. Select all the other linear factors of A(x).
A. (x + 1)
B. (x - 1)
C. (x + 2)
D. (x - 2)
E. (x+4)
F. (x-4)
G. (x + 8)
ion with its constant term.
#3
Answer:A,D,E,F
Step-by-step explanation:A(x) = x4 - 2x³ - 21x² +22x + 40= A,D,E,F
Write down the ratio 600 km to 12 km.
Give your answer in its lowest form.
Answer:
50 km : 12 km
Step-by-step explanation:
600 km : 12 km
=50 km : 1 km.
Graph the points (4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5) on the coordinate plane.
The points (4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5) have been graphed on the coordinate plane (Refer to the graph attached below.)
What is the coordinate plane?The Cartesian coordinate system on a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates.
These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.
A graph having one x-axis and one y-axis is referred to as a cartesian plane (also known as an X-Y graph).
The orientation of these two axes is perpendicular.
The graph's exact center is marked by the origin (O).
So, we have the points:
(4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5)
Now, the graph is as follows:
(Refer to the graph attached below)
Therefore, the points (4.5,1.5), (0.5, – 1.5), and (1.5, – 2.5) have been graphed on the coordinate plane (Refer to the graph attached below.)
Know more about the coordinate plane here:
https://brainly.com/question/10737082
#SPJ1
6. Construction A total of 18.6 cu yd of concrete is required for pouring a
foundation. The ratio of cement to sand to gravel for this application is
1:2:4, and the total amount of these components must be 1½ times the vol-
ume of concrete needed. Use the method of Example 4 to determine how
many cubic yards of each component are needed.
The number of cubic yards of each component needed are 3.99 cubic yards of cement, 7.97 cubic yards of sand and 15.94 cubic yards of gravel
How to determine how many cubic yards of each component are needed?
Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another
Since a total of 18.6 cu yd of concrete is required and the total amount of these components must be 1½ times the volume of concrete needed. We can say:
total amount of these components = 1½ × 18.6 cu yd = 27.9 cu yd
Also, since the ratio of cement to sand to gravel for this application is 1:2:4. We have:
Total share = 1 + 2 + 4 = 7
cement = 1/7 × 27.9 = 3.99 cubic yards
sand = 2/7 × 27.9 = 7.97 cubic yards
gravel = 4/7 × 27.9 = 15.94 cubic yards
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Given the right triangle ABC with Altitude BD drawn to hypotenuse AC.If AD=11 and BD=33 What is the length of DC
Answer:
DC = 99
Step-by-step explanation:
BD perpendicular AC
AD/BD = BD/DC
=> DC =DB^2/AD
=33^2/11=99
{calculate}
help please I'm failing
Answer:
Step-by-step explanation:
show picture
How do you find the center of dilation with a compass?
To find the center of dilation,We'll fix our compass to a distance that is closer to the overall distance but still greater than halfway between vertex L and point C. Start with the compass's point on vertex L while maintaining the same distance, and then draw a curve that intersects the line connecting L and C.
What is Centre of dilation?Centre of dilation of an image in mathematics refers to a change that results in an image with the same shape but a different size, either larger or smaller. A dilation can only be built with two bits of information.
An operation that moves, flips, or otherwise alters a figure to produce a new figure is called a transformation. Rigid transformations maintain size, whereas non-rigid transformations do not. A dilatation enlarges or reduces a figure while maintaining its original shape. To put it another way, the dilatation resembles the original. Every dilatation has a scale factor and a centre. The scale factor indicates how much the figure stretches or contracts, and the centre serves as the point of reference for the dilation (much like the vanishing point in a perspective drawing). A scale factor is usually identified by a label and is never zero. Additionally, the dilatation would be if the original figure were labelled, for example.
The point from which the image is dilated is known as the centre of dilatation (or point of dilation).
To know more about Centre of Dilation Refer to:
https://brainly.com/question/13173812
#SPJ4
How do you dilate a shape with a scale factor?
Dilating a shape with a scale factor is a process of enlarging or shrinking a shape.
What is scale factor?Scale factor the research between two corresponding length area of the volumes of two similar figure it is used to compare the size of one figure to another as well as the enlarge of reduced to size of a figure the scale factor is expressed as the ratio searches one it's to one.
It can be done using a compass or a ruler. First, measure the length of the side of the shape and calculate the scale factor. Then, use the compass or ruler to draw a line that is the length of the side multiplied by the scale factor. Finally, join the new line with the other side of the shape to complete the dilation.
To know more about scale factor click-
https://brainly.com/question/2826496
#SPJ4
How many solutions the linear equation 2x y 10 has?
The linear equation [ ( 2x PLUS y ) EQUALS 10 ] has only one solution.
A linear equation is an algebraic equation having the form y=mx+b, involving only a constant and a first-order (linear) term, where b is the y-intercept and m is the slope. Occasionally, the above is called a 'linear equation of two variables,' where x and y are the variables.
Now solve the given linear equation which is:
[ ( 2x + y ) = 10 ]
Now solve this equation in order to determine the number of solutions it has,
( 2x + y ) = 10
( 2x + (10 - 2x)) = 10
( 2x + 10 - 2x) = 10
( 2x + 10 - 2x) = 10
(10) = (10)
Since 10 = 10 is correct, therefore, the equation ( 2x + y ) = 10 has only one solution.
You can learn more about equation at
brainly.com/question/22688504
#SPJ4
A line that passes through the point (1,-6) and has the slope of -9
Write an equation in point slope form for this line
54+23+98+15+09+908
help pls
Answer:
1,107 is your answer
Step-by-step explanation:
Write an equation of the line that passes through (-4, 2) and is perpendicular to the line y=2/7x-8
The equation of the perpendicular line is y = -7/2(x + 5) + 2
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y=2/7x-8
Also, from the question;
We have the following points
Point = (-4, 2) i.e. (x, y) = (-4, 2)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 2/7
This means that the slope is 2/7
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -7/2
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = -7/2
(x₁, y₁) = (-4, 2)
So, we have
y = -7/2(x + 5) + 2
Hence, the line has an equation of y = -7/2(x + 5) + 2
Read more about linear equations at
brainly.com/question/4074386
#SPJ1
If the frequency of a fm wave is 8.85 × 107 hertz, what is the period of the fm wave? a. 2.58 × 10–8 seconds b. 1.13 × 10–8 seconds c. 1.25 × 10–7 seconds d. 5.82 × 10–7 seconds
The time period of fm wave is found to be 1.13 x 10⁻⁸ sec.
Define the term frequency of the wave?The quantity of waves that pass a fixed point in a unit of time is referred to as frequency in physics.
A body in periodic motion undergoes how many cycles or vibrations in one unit of time, according to this definition.The rate at which current changes direction each second is known as frequency. It is expressed in hertz (Hz), a unit of measurement that is used internationally. One hertz is equal to one cycle per second. One hertz (Hz) is equivalent to one cycle per second. A complete alternating current or voltage wave is referred to as a "cycle.".For the given frequency of a fm wave = 8.85 × 10⁷ hertz.
Time period = 1 / frequency
T = 1 / 8.85 × 10⁷
T = 0.112 x 10⁻⁷ sec
T = 1.13 x 10⁻⁸ sec
Thus, the period of the fm wave is found to be 1.13 x 10⁻⁸ sec.
To know more about the frequency, here
https://brainly.com/question/254161
#SPJ4
I need help with homework!!! I also need a in depth answer and how to do it! 9.4 Solving Surface Area Problems, number 2. In “Guided Practice”
Answer:34.5
Step-by-step explanation:
hurry up please!!!!!!
The approximate annual cost of raising a child born in 2013 at age 17 is 15230.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
a) Plot (2, 12,940), (5, 12,970), (8, 12,800), (11, 13,600) 1nd (14, 14420) on graph.
b) (8, 12800) and (14, 14420)
Here, slope m=(14420-12800)/(14-8)
= 1,620/6
= 270
Substitute m=270 and (x, y)=(8, 12800) in y=mx+c, we get
12800=270(8)+c
12800=2160+c
c=10640
Substitute m=270 and c=10640 in y=mx+c, we get
y=270x+10640
c) Now, substitute x=17 in y=270x+10640, we get
y=270×17+10640
y=15230
Therefore, the approximate annual cost of raising a child born in 2013 at age 17 is 15230.
To learn more about the scatter plot visit:
brainly.com/question/29231735.
#SPJ1
Please help me with my classwork
Answer: 21d^7
Step-by-step explanation:(7x3) x d^(5+2)
= 21 d^7
Answer:
(7d^5)(3d^2)
7*3 = 21
5+2 = 7
21d^7
HELP PLEASE ILL GIVE 50 POINTS PLEASE DUE AT 11:59 WHERE I LIVE I HAVE AN HOUR!!!
i need a conclusion paragraph to the question - Was Abby Sunderland too young to sail solo? - SAYING THAT SHE WAS!
pleaseee the best conclusion will get brainliest!!!!!!!!!!
i am aware the subject is math accident
Answer:
Step-by-step explanation:
In conclusion, it can be argued that Abby Sunderland was too young to sail solo. Despite her ambitious and determined nature, her lack of experience and maturity put her at a significant risk during her solo sailing journey. The fact that she had to be rescued twice during her attempt highlights the dangers of attempting such a feat at such a young age. While it is admirable to have the courage to pursue one's dreams, it is important to consider the potential consequences and weigh them against the potential benefits. In this case, it can be argued that the risks far outweighed the potential rewards.
Let $\angle D$ be an acute angle uch that $\co D=0. 33$. Ue a calculator to approximate the meaure of $\angle D$ to the nearet tenth of a degree
Let angle D be an acute angle such that D=0. 33. The measure of angle D is 70.7 degree.
Acute Angle:
An angle is formed when two rays meet at a vertex. If this angle is less than 90°, it is called an acute angle. In the image below, the angle formed between "Ray 1" and "Ray 2" is acute. Bisecting a right angle also creates two acute angles.
Inverse Cosine :
Inverse cosine is the important inverse trigonometric function. Mathematically, it is written cos-1(x) and is the inverse of the trigonometric cosine cos(x). Note that arc cosine is not the reciprocal of cos x. There are six inverse trigonometric functions like sin-1x, cos-1x, tan-1x, csc-1x, sec-1x, cot-1x. The arc cosine is used to determine angular measurements from the trigonometric ratio cos x values.
According to the question:
To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos
cos(D) = 0.33
⇒ D = cos^-1 (0.33)
⇒ D = 70.7 degrees
Learn more about acute angle:
https://brainly.com/question/11530411
#SPJ4
Which of the following lines has a y-intercept of (0,3) and a slope of ?
A y= 1/2x+3
B y= 1/2x-3
C y= 3x+1/2
D y= 3x-1/2
Comparing the provided equations in the options with the slope-intercept form y = mx + c and with the intercept value given , The answer is option A and B.
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What is slope and intercept?In a linear equation, the slope (also called the gradient) is a measure of the steepness of the line, and the y-intercept is the point at which the line crosses the y-axis. The slope of a linear equation can be represented as m in the form of y = mx + b, where m is the coefficient of x, and b is y-intercept. The y-intercept is the point where the line crosses the y-axis, which can be represented by the value of b in the form of y = mx + b.
intercept (c) = 3units
option A also has 3 as c
option B also has 3 as c
when compared with y= mx + c
To learn more about equations visit:
brainly.com/question/29657992
#SPJ1