Answer:
1
Step-by-step explanation:
7-6=1
Answer:
c-a
replace x with 7 and a with 6
rewrite: 7-6
7-6 = 1
Answer: 1
Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items.
The amount of pasta and sauce since he wants each bag to have the same amount is 16.
What is a factor?A factor simply means a number that can multiplied with another number which is also.a factor to get the original number.
In this case, Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive.
It should be noted that to get the number in each bag, it means that we have to find the highest common factor for both numbers. This will be:
Factors of 32 = 1, 2, 3, 4, 6, 8, 16 and 32
Factor of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Therefore, the answer is 16.
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1. Noah is running a portion of a marathon at a constant speed of 6 miles per hour.
Complete the table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals.
time in hours
miles traveled at 6 miles per hour
1
6
1
2
3
1
1
3
8
1
1
2
9
4
1
2
Draw the graph of y=3 -1/2x
The graph of the function y=3 -1/2x is attached below.
Function:
Function refers the relationship between inputs where each input is related to exactly one output.
Given,
Here we have the function y=3 -1/2x.
Now, we have to plot the graph of the function.
In order to plot the graph of the function, we have to take some sample values for x.
So, we will take the values of the x as -2, -1, 0, 1, 2.
Now, we have to apply the values on the given function then we get,
=> x = -2 => y = 3 - 1/2(-2) => y = 3 + 1 => y = 4
=> x = -1 => y = 3 - 1/2(-1) => y = 3 + 1/2 => y = 7/2 = 3.5
=> x = 0 => y = 3 - 1/2(0) => y = 3 - 0 => y = 3
=> x = 1 => y = 3 - 1/2(1) => y = 3 - 1/2 => y = 5/2 = 2.5
=> x = 2 => y = 3 - 1/2(2) => y = 3 - 1 => y = 2
When we enter these values into the table, then we get the table like the following.
By using the table we have to plot the graph and then we get the graph like the following.
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Does the relation shown in the diagram below represent a function? Explain why or why not
The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.
Given that,
In the picture we can see the domain and range.
We have to find if the domain and range is function or not.
Each of the sets of domain values has precisely one range value, according to the mapping.
Every domain value in a relation must have precisely one range value in order for it to be referred to as a function. It is not recommended to assign or map a domain value to more than one range value.
Therefore, The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.
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Jordan saved $225 and continues to save $45 each week. RayAnn saved $150 and continues to save $60 each week. Write and solve a system of equations using any method for the given situation.
Equation for Jordan:
Equation for RayAnn:
Solution:
please help me with this! I need the answer a s a p and I also the the y and x axis in the last equation please!
The equations using any method for the given situation illustrated that:
Equation for Jordan: 225 + 45w
Equation for RayAnn: 150 + 60w
How to calculate the equation?Let the number of weeks be represented by w.
Jordan saved $225 and continues to save $45 each week. The equation for this will be:
= 225 + (45 × w)
= 225 + 45w
RayAnn saved $150 and continues to save $60 each week. The equation will be:
= 150 + (60 × w)
= 150 + 60w
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Graph the line that passes through the points (-9,8) and (-7,8) and determine the equation of the line
ans=y=8
look for the gradient[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]
change in y8-8=0
change in x-7--9=2
hence the gradient is 0÷2=0
looking for the equationgradient(0)=
[tex] \frac{y - 8}{x - - 9?} [/tex]
so..,0=y-8
hence the equation is y=8
-7.3, 7 3/4, 7.23, -7 2/3. Order the following rational numbers from least to greatest.
The order of the rational numbers from the least to greatest is [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 < [tex]7\frac{3}{4}[/tex] .
in the question ,
it is given that the rational numbers are -7.3, [tex]7\frac{3}{4}[/tex], 7.23, [tex]-7\frac{2}{3}[/tex] .
we have to arrange the rational numbers in order from least to greatest .
For arrangement we first convert all the rational numbers in decimal form .
the decimal form of the given rational numbers are as follows .
(i) -7.3 is already given in decimal form .
(ii) [tex]7\frac{3}{4}[/tex] = (7*4+3)/4 = (28+3)/4 = 31/4 = 7.75
(iii) 7.23 is already in decimal form .
(iv) [tex]-7\frac{2}{3}[/tex] = -(7*3+2)/3 = -23/3 = -7.666
the order is -7.666 < -7.3 < 7.23 < 7.75
which is [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 < [tex]7\frac{3}{4}[/tex]
Therefore , The order of the rational numbers from the least to greatest is [tex]-7\frac{2}{3}[/tex] < -7.3 < 7.23 < [tex]7\frac{3}{4}[/tex] .
The given question is incomplete , the complete question is
Order the following rational numbers from least to greatest.
-7.3, [tex]7\frac{3}{4}[/tex], 7.23, [tex]-7\frac{2}{3}[/tex] .
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Compare and Explain: Are they equivalent?
$3 for 6 bagels; $9 for 24 bagels
Answer: No
Step-by-step explanation: You want to find the unit rate for each bagel. 6/3 is 2 dollars, so each bagel is going to cost 2 dollars. If your getting 24 bagels for 9 dollars, 24/9 is 2 2/3 dollars for each bagel. 2 ≠ 2 2/3 so therefore, they're not the same.
I need help with math
Answer:
Math: the science and study of quality, structure, space, and change.
The expected value for getting heads, on 30 coin tosses, is 15. The
expected value for rolling a 1, after 30 die rolls is 5. What is the
expected value of the sum of these events? Enter your answer in the
box.
The expected value of the sum of these events will be 2 / 3.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the expected value for getting heads, on 30 coin tosses, is 15. The expected value for rolling a 1, after 30 die rolls is 5.
The probability of the sum will be calculated as,
P = ( 15 / 30 ) + ( 5 / 30 )
P = ( 20 / 30 )
P = 2 / 3
Therefore, the expected value of the sum of these events will be 2 / 3.
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which hypothesis or hypotheses about the relation between life satisfaction and job satisfaction has received the most empirical support?
Recent research has confirmed the Spillover Hypothesis by demonstrating a favourable association between life and job happiness.
According to the spillover hypothesis, behaviour or affect in a family system might flow immediately from one place or connection to another. Transfer takes place in the same valence, which means that one subsystem's negative affect is connected to another's negative affect, or stress at work spills over and intensifies stress at home. The compensatory hypothesis offers a different perspective by arguing that transfer between family subsystems occurs in the opposite valence, leading a person to seek fulfilment in one relationship or environment in order to make up for shortages in another.
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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. If a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? Round your answer to four decimal places.
The probability that the sample mean would differ from the population mean by greater than 0.5 millimeters is 1
How to determine the probability value?From the question, the given parameters about the distribution are
Mean diameter = 127Variance = 36 The actual data value, x = Less than 0.5The standard deviation is the square root of variance
So, we have
Standard deviation = 6
The z-score is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (0.5 - 127)/6
Evaluate
z = -21.08
The probability is then calculated as:
P(x > 0.5) = P(z > -21.08)
From the z table of probabilities, we have;
P(x < 0.5) = 1
Hence, the probability is 1.0
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The number of computer security breaches is expected to increase at a yearly rate of 86%.
Use the exponential growth model to determine the equivalent monthly rate.
Enter the rate, to the nearest tenth of a percent, in the box.
___ %
The equivalent monthly rate of the number of security breaches is of 5.31%, using an exponential function.
What is an exponential function?An increasing exponential function is modeled according to the rule presented by the equation as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the parameters of the exponential function are listed as follows:
A(t) is the amount after t years.A(0) is the initial amount of the function, that is, the amount of A(t) at the reference year of 0.r is the growth rate of the function, given as a decimal.In the context of this problem, considering the increase at an yearly rate of 86%, the parameter rate r is given as follows:
r = 0.86.
Hence the function is defined as follows:
[tex]A(t) = A(0)(1.86)^t[/tex]
One year is composed by 12 months, hence the monthly increase is calculated as follows:
[tex]r_m = (1.86)^{\frac{1}{12}} - 1 = 0.0531[/tex]
The monthly increase rate is of 5.31%.
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Answer:
The answer is 5.3
a researcher counts the number of students who agree, disagree, or are indifferent concerning a recent school policy change. what are the degrees of freedom for this chi-square goodness-of-fit test?
The number of degrees of freedom for the chi-square goodness-of-fit test is of:
2.
How to obtain the number of degrees of freedom for a chi-square test?The number of degrees of freedom for a chi-square goodness-of-fit test is obtained according to the multiplication presented as follows;
df = (r - 1) x (c - 1).
In which the variables are listed as follows:
r is the number of rows from the table.c is the number of columns from the table.The table in this problem has three rows, given as follows:
Students who agree with the recent school policy change.Students who disagree with the recent school policy change.Students who are indifferent with the recent school policy change.The table has two columns, which are given as follows:
Student's opinions.Absolute frequencies of the student's opinions.Hence the number of degrees of freedom of the test is given as follows:
df = (3 - 1) x (2 - 1) = 2 x 1 = 2.
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if l || m, solve for x and y
I NEED HELP ASAP
Help!! Direct and Inverse Variations
The value of y is 24 when x is -2.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
There are direct variations
y= 24 when x=2
We need to find value of y when x =-2
This can be found by forming an equation.
Let the value of unknown y be a
2/24=-4/a
Apply cross multiplication
2a=24(-2)
2a=-48
We need to divide by 2 on both sides
a=-24
Hence the value of y is 24 when x is -2.
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1. Harper is going to create a graph of the equation y = -0.5x + 12. Which of the following will be true about the graph?
The graph will contain the origin.
The graph will increase from left to right.
The graph will cross the x-axis at (12, 0).
The graph will have a slope of -0.5.
The statement that would be true concerning the graph would be that the graph will have a slope of -0.5.
What is a slope?A slope is defined as the difference between a chosen point on the vertical and horizontal axis.
The slope of a straight line graph has a constant equation that is used to determine its slope. Thus;
y = mx + b
Where m = the measure of the steepness of the straight line graph.
From the equation of the graph that was given;
y = -0.5x + 12. The slope of the graph which is represented by 'm' would be -0.5.
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Jace left his house at time zero and drove to the store, which is 2 blocks away, at a speed of 1 block per minute. Then he stopped and went into the store for 6 minutes. From there, he drove in the same direction at a speed of 3 blocks per minute until he got to the bank, which is 6 blocks away from the store. He stopped at the bank for 7 minutes. Then he drove home at a speed of 2 blocks every minute. Make a graph of showing the number of blocks away from home that Jace is xx minutes after he leaves his house, until he gets back home.
The total time it took Jace to out home and return home is 21 minutes and the graph represents that the total distance was 8 blocks.
What is a graph?In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty). Charts and graphs come in a variety of styles. Line graphs, bar graphs and histograms, pie charts, and Cartesian graphs are likely the four most popular types. They serve quite diverse purposes and are best suited for very different uses.So, the total number of minutes Jace takes to get back home after going out:
From Home to store = 2 minutes (1 blocks/min) + 6 minute (stop)From store to bank = 2 minutes (3 blocks/min) + 7 minutes (stop)From bank to home = 4 minutes (2 blocks/min)Total minutes:
2 + 6 + 2 + 7 + 4 = 21 min(Refer to the graph attached below)
The graph represents that Jace travels a total of 8 blocksTherefore, the total time it took Jace to out of home and return home is 21 minutes and the graph represents that the total distance was 8 blocks.
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PLS HELP MEEEEEEEEEE !!!!
Answer:
Step-by-step explanation:
Ok;
1. Area is base times height.
Here shown, the base is 18cm and the height is 11cm. Don't be fooled by the 14cm for it is just the leg of a triangle not full height!!
18*11=198cm^2
2. Divide by two. We just caculated the area of the rectangle. Now we know a triangle is half of a rectangle's area so divide by 2!
198/2= 98cm^2
Sarah plays basketball. In her last game, she scored 24 points
from 2-pointers and 3-pointers. She made a total of 10 baskets.
How many 2-pointers and 3-pointers did she make? (Let x
represent the number of 2-pointers she made, and let y represent
the number of 3-pointers she made.)
Taking into account the definition of a system of linear equations, the number of 2-pointers and 3-pointers Sarah made is 2 and 3 respectively.
System of linear equationsA system of linear equations is a set of equations relating two or more unknown values, the goal of which is to determine those values so that the equations are true.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
This caseIn this case, a system of linear equations must be proposed taking into account that:
x represent the number of 2-pointers Sarah made.y representthe number of 3-pointers Sarah made.You know:
In her last game, Sarah scored 24 points from 2-pointers and 3-pointers.She made a total of 10 baskets.The system of equations to be solved is
x + y= 10
2x+3y= 24
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "x" from the first equation:
x= 10 - y
Replacing this expression in the second equation:
2×(10-y)+3y= 24
Solving:
2×10 -2y +3y= 24
20 -2y +3y= 24
-2y +3y= 24 - 20
y= 4
Remembering that x= 10 -y, you get:
x= 10 -4
x= 6
Finally, the number of 2-pointers Sarah made is 2 and the number of 3-pointers she made is 3.
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what do you call the result of this opperation 2x+5
Answer:
addition?
Step-by-step explanation:
What is the greatest value in the range of y=x²-7 for the domain {-2,0,1}?
Answer:
f(-2) = - 3 is the greatest value in the given range
-------------------------------
GivenFunction y = x² - 7,Domain x = {- 2, 0, 1 }.Find the value for each domain and comparef(-2) = (-2)² - 7 = 4 - 7 = - 3f(0) = 0² - 7 = 0 - 7 = - 7f(1) = 1² - 7 = 1 - 7 = - 6The greatest value of the function is - 3.
Write an absolute value equation representing all numbers x whose distance 7 is 3 units
Answer:
|x-7|=3
Step-by-step explanation:
x is 3 units away from 7
x-3=7
x-7=3
x+3=7
3=7-x
|x-7|=3
what is the function rule in slope intercept form
Answer:
The picture is not Clear. Please provide a better view of the question.
Step-by-step explanation:
Please help, Which postulate can be used to prove the two triangles are congruent?
The triangles are congruent by ASA(angle side angle) theorem
How to find congruent triangle?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.
There are different ways to find that out that triangles are congruent.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Therefore, the triangles are congruent by ASA(angle side angle) theorem.
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A pencil is 712 inches long.
How long is the pencil in centimeters?
1 inch =2.54 centimeters
do you mean 712 or 7.12?
If for 712 it is 1808.48
if for 7.12 it is 18.0848
A 9-foot ladder rests against the side
of a wall. The bottom of the ladder is
2 feet from the base of the wall.
Determine the measure of the angle
between the ladder and the ground.
Round to the nearest tenth.
Answer:
about 77.2°
Step-by-step explanation:
The figure is omitted--please sketch it.
Make sure your calculator is in degree mode.
[tex] \cos( \alpha ) = \frac{2}{9} [/tex]
[tex] \alpha = {cos}^{ - 1} \frac{2}{9} = 77.2[/tex]
77.2 degrees
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 7x²
Also, we have
Vertex = (3, 5)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (3, 5)
Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 3)² + 5
This also means that
f(x) = 7(x - 3)² + 5
The 7 is gotten from f(x) = 7x²
Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5
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will a numbers prime factorization always be the smae, regardless of which factor pair you start with? Explain.
17. If a = 3b^2 and a = 27, what is one value of b?
4.5
9
1.73
3
Answer:
b = 3
Step-by-step explanation:
Given that,
→ a = 27
Forming the equation,
→ 27 = 3b²
Now the value of b will be,
→ 27 = 3b²
→ b² = 27/3
→ b = √9
→ [ b = 3 ]
Hence, the value of b is 3.
⇒Given that a=27 in the equation [tex]a=3b^{2} \\[/tex] in the place of a plug in 27 and solve for b
[tex]27=3b^{2} \\\frac{27}{3} =\frac{3b^{2}}{3} \\b^{2} =9\\b^{2}-9=0\\(b+3)(b-3)=0\\b+3=0\\or\\b-3=0\\b=-3\\or\\b=3[/tex]
⇒Note b can also be -3 but the only option available as the answer is 3
∴ b=3 in this case.