A) What does the point (1,8) represent in the context of the situation? B) Is the amount of money proportional to the number of hours worked? C) Write an equation that represents this situation? D) What will be Amber’s Wages after 6 hours worked?
Answers
Answer:
A) Amber's wages for 1 hour is $8.
B) Yes
C) y = 8x
D)
Explanation:
A) Looking at the graph, we can deduce that the point (1, 8) shows how much Amber makes in one hour. So in 1 hour, Amber makes $8.
B)To determine whether the amount of money is proportional to the number of hours worked, we have to look at the graph and see if it starts from the origin (0, 0), if it does then we can conclude that they are proportional.
Since the graph starts from the origin (0, 0), then the amount of money is proportional to the number of hours worked.
C) The slope-intercept equation of a line is given as;
[tex]y=mx+b[/tex]where m = slope of the line
b = y-intercept of the line
So let's go ahead and determine the slope of the line at points (1, 8) and (2, 16) using the below formula;
[tex]m=\frac{y_2-y_1_{}_{}_{}}{x_2-x_1_{}}=\frac{16-8}{2-1}=\frac{8}{1}=8[/tex]Since the line starts from the origin, therefore the y-intercept, b, is zero.
Since m = 8 and b = 0, the equation can then be written as;
[tex]\begin{gathered} y=8x+0 \\ y=8x \end{gathered}[/tex]D
Related Questions
20 points 2. Krisstopher was driving to Houston from Pasadena, he drives a 2 3/4 miles and stops for a break. He then drives 5 1/2 miles to reach his destination. What distance in miles did Krisstopher travel to reach his final destination. 81/4 miles 71/2 miles 81/2 miles 6 1/3 miles Clear selection
Answers
Add 2 + 3/4 + 5 + 1/2
this gives (2+5) + ( 3/4+2/4)
7 + 5/4 = 8.25
on square PQRS below, if Q is located at (7, 0) and R is located at (5, -8), what is the length of SRleave it in radical form
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In a square, all the sides are the same length.
[tex]PQ=QR=SR=SP[/tex]So, to find the length of the segment SR you can find the length of the segment QR using the formula of the distance between two points, that is:
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2^{}} \\ \text{ Where d is the distance between two points } \\ A(x_1,y_1)\text{ and} \\ B(x_2,y_2) \end{gathered}[/tex]So, in this case, you have
[tex]\begin{gathered} Q(7,0) \\ R(5,-8) \\ d=\sqrt[]{(5_{}-7)^2+(-8-0)^2} \\ d=\sqrt[]{(-2)^2+(-8)^2} \\ d=\sqrt[]{4+64} \\ d=\sqrt[]{68} \end{gathered}[/tex]Therefore, the length of the segment SR is
[tex]\sqrt[]{68}[/tex]I need help number 7
Answers
The population at the beginning of 1950 was 2600 thousand people.
Then it started increasing exponentially 23% every decade.
The general form of any exponential function is:
[tex]f(x)=a(b)^x[/tex]Where
a is the initial value
b is the growth/decay factor
x is the number of time periods
y is the final value after x time periods
a. To calculate the growth factor of an exponential function, you have to add the increase rate (expressed as a decimal value) to 1:
[tex]\begin{gathered} b=1+r \\ b=1+\frac{23}{100} \\ b=1.23 \end{gathered}[/tex]b. Considering the initial value a= 2600 thousand people and the growth factor b=1.23, you can express the exponential function in terms of the number of decades, d, as follows:
[tex]f(d)=2600(1.23)^d[/tex]c. Considering that the time unit is measured in decades, i.e d=1 represents 10 years
To determine the corresponding value of the variable d for 1 year, you have to divide 1 by 10
[tex]1\text{year/10years d}=\frac{1}{10}=0.1[/tex]Calculate the growth factor powered by 0.1:
[tex]\begin{gathered} b_{1year}=(1.23)^{0.1} \\ b_{1year}=1.0209\approx1.02 \end{gathered}[/tex]d. Use the factor calculated in item c
[tex]g(t)=2600(1.0209)^t[/tex]Writing rational numbers as a decimal
Answers
2. Let's convert the rational number as a decimal
[tex]-2\frac{4}{5}[/tex]The given number is a mixed number, so we need to convert it to rational.
[tex]-2\frac{4}{5}=-2+\frac{4}{5}=-\frac{6}{5}[/tex]Then: To convert -6/5 into a decimal number, divide 6 by 5:
6 divide by 5
5*1 = 5, then 6-5 = 1
6 l 5
1
--------------
6 l5
5 1
-------------
1 l 5
1
We add
Question 3(Multiple Choice Worth 3 points)
(01.02 MC)
Joaquin wants to make his famous chocolate chip cookies to bring to his friend's birthday party. The original recipe serves 5 people and requires 1/4 a cup of butter but he needs to serve 28 people. How many cups of butter will he need?
Answers
Answer:
B
Step-by-step explanation:
I need help quick please i have to turn this in tomorrow it’s 4am.
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Answer:
sitting in his highchair modifies baby
Erian's extended family is staying at the lake house this weekend for a family reunion. She is in charge of making homemadepancakes for the entire group. The pancake mix requires 2 cups of flour for every 10 pancakes.[a] Write a ratio to show the relationship between the number of cups of flour and the number of pancakes made.[b] Determine the value of the ratio.c Use the value of the ratio to fill in the following two multiplicative comparison statements..The number of pancakes made is.times the amount of cups of flour needed.The amount of cups of flour needed isof the number of pancakes made.(d If Erian has to make 70 pancakes, how many cups of flour will she have to use?
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(a) The ratio is:
[tex]\frac{\text{ number of cups of flour}}{\text{ number of pancakes}}[/tex](b) This ratio is equal to:
[tex]\begin{gathered} \frac{\text{ number of cups of flour}}{\text{ number of pancakes}}=\frac{2}{10} \\ S\text{implifying} \\ \frac{\text{ number of cups of flour}}{\text{ number of pancakes}}=\frac{1}{5} \end{gathered}[/tex](c) Isolating "number of cups of flour":
[tex]\text{ number of cups of flour}=\frac{1}{5}\cdot\text{number of pancakes}[/tex]Isolating "number of pancakes":
[tex]5\cdot\text{ number of cups of flour}=\text{ number of pancakes}[/tex]The number of pancakes made is 5 times the amount of cups of flour needed.
The amount of cups of flour needed is 1/5 of the number of pancakes made.
(d) Substituting with "number of pancakes" = 70, we get:
[tex]\begin{gathered} \text{ number of cups of flour}=\frac{1}{5}\cdot\text{7}0 \\ \text{ number of cups of flour}=14 \end{gathered}[/tex]She will have to use 14 cups of flour
Find the circumference of the circle. Round to the nearest hundredth if necessary. (Use 3.14 for a) A circle with a diameter of 18 in
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Given data:
The given diameter of the circle is D=18 in.
The expression for the circumference is,
[tex]C=\pi D[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} C=\pi(18\text{ in)} \\ =56.52\text{ in} \end{gathered}[/tex]Thus, the circumference of the circle is 56.52 in.
You have a bag of 36 ounces of popcorn. Your friend eats 1/4 of the bag. You eat 1/3 of the bag. How many ounces did you eat? How many ounces are left?
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Answer: You Eat: 12 ounces. There are 15 ounces left.
Step-by-step explanation:
36(1/4)=9 ounces
36(1/3)=12 ounces, which is how much you eat.
36-12-9=15 ounces left
Step-by-step explanation:
How many ounces did you eat?
¼+⅓=3+4/12=7/12 ounces were eaten
How many ounces are left?
36-7/12=432-7/12
=425/12
=\frac{425}{12}
=35^5/12
10 ex 9 10 ex 3 simplified
Answers
ANSWER
[tex]10^6[/tex]EXPLANATION
We want to simplify the fraction below:
[tex]\frac{10^9}{10^3}[/tex]When you have a fraction of powers and the numerator and denominator have the same base (e.g. 10 in this case), the power on the denominator is subtracted from the power of the numerator.
So, that is:
[tex]\begin{gathered} 10^{9-\text{ 3}} \\ =>10^6 \end{gathered}[/tex]That is the answer.
Find the product 54,612 x 46?
Answers
Explanation
Step 1
Multiply. as you would with whole numbers.( ignore the comma)
so
[tex]\begin{gathered} 54,612x46\rightarrow54612\cdot46=2512152 \\ \end{gathered}[/tex]Step 2
Count the total number of decimal places in your factors.
[tex]54,612\rightarrow\text{3 numbers in decimal places}[/tex]Step 3
Move the decimal point in the product one place to the left for each decimal place you counted.
so
[tex]2512152\rightarrow3\text{ places}\rightarrow2512,152[/tex]so, the answer is
[tex]2512,152[/tex]I hope this helps you
Which value is in the solution for the inequality 7 + 3x < 37?
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the solution of the inequality will be x<10, i mean all the real numbers that are less than 10. It's because:
[tex]7+3x<37\Rightarrow3x<37-7=30\Rightarrow x<\frac{30}{3}=10[/tex]Suppose a sample of 383 Americans over 21 is drawn. Of these people, 280 don't smoke. Using the data, construct the 80% confidence interval for the population proportion of Americans over 21 who smoke. Round your answers to three decimal places.
Answers
The 80% confidence interval for the population proportion of Americans over 21 who smoke is: 0.240; 0.298.
How to find the confidence interval?First step is to find the population proportion p
Sample size = n = 383
Using this formula to find the population proportion (p)
p = x /n
Let plug in the formula
p = (383 - 280) / 383
p = 103/383
p = 0.2689
Second step is to find the Margin of error (MOE)
Value of z-score for a confidence level of 80%= 1.282
Using this formula to margin of error
MOE =( z alpha x √(p) (1-p) / n )
Let plug in the formula
MOE =( 1.282x √(0.2689)(1-.0.2689) / 383)
MOE =( 1.282 x √(0.2689)(0.7311) / 383)
MOE =( 1.282 x √0.000513297
MOE =( 1.282 x 0.0226561)
MOE = 0.02905
Third step is to find the confidence interval (CI)
Confidence interval = p ± MOE
Confidence interval = 0.2689 ± 0.02905
Confidence interval = ( 0.2689 - 0.02905) , (0.57 + 0.02905)
Confidence interval = 0.23985; 0.29795
Confidence interval = 0.240; 0.298 ( Three decimal places)
Therefore the CI is 0.240; 0.298.
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A fashion designer makes and sells hats. The material for each had cost three dollars. The hats sell for $13.50 each. The designer spends $2121 on fixed cost: advertising, Power, water, rent . How many hats mustard designers sell to break even
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The designer spends $2121 and $3 each for hat and he can sell it for $13.50 each.
If there are x number of hats, it will cost him (2121 + 3x) and he can gain 13.50x
The break even is when the cost and sales are equal.
Equating both expressions :
[tex]\begin{gathered} 2121+3x=13.50x \\ 2121=13.50x-3x \\ 2121=10.50x \\ x=\frac{2121}{10.50}=202 \end{gathered}[/tex]The answer is 202 hats
Drag the preimage to the correct location on the graph.
Quadrilateral 2 is a reflection of a quadrilateral across line m. Where is the preimage for quadrilateral 2 located and what is its orientation?
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It is true that the preimage of the quadrilateral labeled 1 is reflected across line M to produce 2. The preimage for quadrilateral 2 is located at exactly below the position of quadrilateral 2 as indicated in the attached image. Its orientation is °180 the current location of image 2.
What is a preimage?Preimage refers to a collection of some input set items that are handed to a function to get some output set elements. It is the opposite of the Image. Domain = all valid independent variable values. This is the input set of a function, also known as the set of departure.
The orientation (that is angular position or attitude or bearing, or direction) of an object, such as a line, plane, or rigid body, is described in geometry as part of how it is positioned in the space it inhabits.
Hence quadrilateral 2 is 180° reflected from the preimage, given that it was reflected across line m.
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took me an hour to figure it out
Step-by-step explanation:
Solve the equation. 6x = 96a16b576c90d102
Answers
Answer
Option A is correct.
x = 16
Explanation
We are asked to solve the equation
6x = 96
Divide both sides by 6
(6x/6) = (96/6)
x = 16
Hope this Helps!!!
2) Find the volume of a shoe box that is wide9, 15 inches, and 6 inches high.
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volume of the shoe box is 1080 inches³
Explanation:2) The shoe box is rectangular prism
So we will find the volume of a rectangular prism:
Volume of rectangular prism = length × width × height
length = 15 inches
width = 9 inches
height = 6 inches
Volume = 15 × 9 ×6
Volume = 1080 inches³
Hence, the volume of the shoe box is 1080 inches³
In a video game, Connor scored 25% more points than Max. If c is the number of points that Connor scored and m is the number of points that Max scored. Write an equation that represents the situation.
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In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Connor scored = c
Max scored = m
equation = ?
Step 02:
Connor scored =>>> + 25% Max scored
c = m + m * 0.25
c = m ( 1 + 0.25)
c = 1.25 m
The answer is:
c = 1.25 m
Complete the following statements.
In general, ________% of the values in a data set lie at or below the median.
________% of the values in a data set lie at or below the third quartile (Q3).
If a sample consists of 2100 test scores, ________ of them would be at or below the second quartile (Q2).
If a sample consists of 2100 test scores, ________ of them would be at or above the first quartile (Q1).
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In general, 50% of the values in a data set lie at or below the median.
75% of the values in a data set lie at or below the third quartile (Q3).
If a sample consists of 2100 test scores, 1100 of them would be at or below the second quartile (Q2).
If a sample consists of 2100 test scores, 525 of them would be at or above the first quartile (Q1).
What are quartiles?Three values called quartiles divide sorted data into four equal portions with the same amount of observations in each.
One kind of quantile is a quantile. Q1, or the lower quartile, is another name for the first quartile.
Second quartile: Also referred to as the median or Q2.
Third quartile, or the upper quartile, is also referred to as Q3.
The second quartile is 50%
Samples of 2100 test scores that are at or below at the second quartile
= 50% of 2100
= 0.5 * 2100
= 1100
The first quartile is 25%
= 0.25 * 2100
= 525
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PLEASE HELP!!!! Explain in depth!!! In a geometry course, the grade is based on the average score on six tests, each worth 100 points. W. Orrier has an average of 88.5 on his first four tests. What is the lowest average he could obtain on his next two tests and still receive an A (an average of 90 or better)?
Answers
Answer:
93 marks
Step-by-step explanation:
If he has an average of 88.5 marks on the first four tests then the total score for these four tests is:
[tex]\implies 88.5 \times 4=354[/tex]
To obtain an average of at least 90 marks on each test the total number of marks needed for the six tests is:
[tex]\implies 90 \times 6=540[/tex]
So the minimum total marks he needs to obtain an A is 540.
To find the lowest average he could obtain on his next two tests to still receive an A, subtract the total for the first four tests from the total needed for the six tests and divide by two:
[tex]\implies \dfrac{540-354}{2}=\dfrac{186}{2}=93[/tex]
Therefore, he needs to score an average of at least 93 marks on his next two tests to still receive an A grade.
which choices are equivalent to the expression below? check all that apply.[tex] 4\sqrt{6} [/tex]a. [tex] \sqrt{96} [/tex]b.[tex] \sqrt{24} [/tex]c. 96d. [tex] \sqrt{4} \times \sqrt{36} [/tex]e.[tex] \sqrt{16} \times \sqrt{6} [/tex]f.[tex] \sqrt{32} \times \sqrt{3} [/tex]
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To find the equivalents of this expression we can write it another way:
[tex]4\cdot\sqrt[]{6}=\sqrt[]{16\cdot6}=\sqrt[]{4\cdot4\cdot6}=\sqrt[]{2\cdot2\cdot2\cdot2\cdot2\cdot3}[/tex]We can group the 2's and 3 however we want and the expression will be the same.
If we do the multiplication of all of them (or 16 times 6, is the same) we get that it's 96, so option a is one equivalent
[tex]\sqrt[]{96}[/tex]Then from the second term we have that another equivalent is
[tex]\sqrt[]{16}\cdot\sqrt[]{6}[/tex]Because the square root can be distributed into the product. So option e is equivalent
If we multiply all the 2's we get that it's 32, so another equivalent is:
[tex]\sqrt[]{32}\cdot\sqrt[]{3}[/tex]Option f is equivalent
Can anyone help me with this a 7 more problem
Answers
We are given the following statement.
If a number is an integer, then it is either positve or negative.
In the above statement, the 1st part is the condition and the 2nd part is conclusion.
Condition = a number is an integer
Conclusion = it is either positve or negative
Therefore, the conclusion of the conditional is option B.
A number is either positive or negative.
1. Given triangle ABC, what is the length of the line segment connecting the midpoints of AC and BC?
A = (1,6)
B = (3,1)
C = (8,3)
Answers
The length of the line segment connecting the midpoints of AC and BC is 2.69 units.
We are given a triangle. The vertices of the triangle are A, B, and C. The coordinates of the vertices are A (1, 6), B (3, 1), and C (8, 3). We need to find the length of the line segment connecting the midpoints of AC and BC.
Let the midpoints of AC and BC be E and F.
The coordinates of the midpoint E are calculated below.
E = [(1 + 8)/2, (6 + 3)/2] = (4.5, 4.5)
The coordinates of the midpoint F are calculated below.
F = [(3 + 8)/2, (1 + 3)/2] = (5.5, 2)
The length of the line segment EF can be calculated by using the distance formula. Let the length of EF be represented by "L".
L = √[(4.5 - 5.5)² + (4.5 - 2)²]
L = √(1 + 6.25)
L = √7.25
L = 2.69
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The cost in dollars of a class party is 59+13n, where n is the number of people attending. What is the cost of 44 people?
Answers
The function is:
C(n) = 59 + 13n
where n is the number of people, and C(n) is the cost of a class party.
To determine the value of C(n) where n = 44, just replace this value of n into the previous formula, and simplify the expression, just as folow:
C(44) = 59 + 13(44)
C(44) = 59 + 572
C(44) = 631
Hence, the cost for 44 people is 631 dollars.
- Which subsets of the real number system does -2.8 belong? A.Rational and Integer.B.Irrational and Integer.C.Irrational onlyD. Rational only.
Answers
Answer:
D. Rational only.
Step-by-step explanation:
-2.8 is only rational.
It is not irrational because it is rational(decimal numbers are rational).
It is not integer because there is a decimal part.
So, the correct answer is:
D. Rational only.
A Scientist uses 10 grams of carbon evrey 15 mins during an experiment. If the experiment lasted 3 hours, how many total kilograms of carbon did they use
Answers
We know that
• A scientist uses 10 grams every 15 minutes.
To find the kilograms used in 3 hours, first, we transform 10 grams into kilograms
[tex]\frac{10}{1000}kg=0.01\operatorname{kg}[/tex]Then, we use the following proportion
[tex]\frac{0.01\operatorname{kg}}{x}=\frac{15\min }{180\min }[/tex]Because 3 hours is equivalent to 180 minutes. Let's solve for x
[tex]\begin{gathered} x=\frac{180\cdot0.01}{15} \\ x=0.12 \end{gathered}[/tex]Hence, the total kilograms are 0.12.Identify a benchmark you can use to find an equivalent percent for eachratio. Then find the equivalent percent. (Example 1)13. Lo Benchmark: 4. Benchmark:6105.Benchmark:
Answers
The benchmark of a fraction a/b is 1/b. Then, for the given:
To find the equivalent percent: find the a/b of 100 :
6/10:
[tex]\frac{6}{10}\cdot100=60[/tex]6/10 =60%___________________
2/4:
[tex]\frac{2}{4}\cdot100=50[/tex]2/4=50%___________________
4/5:
[tex]\frac{4}{5}\cdot100=80[/tex]4/5 = 80%Reflect the vector (-3,5) acrossthe x-axis.([?],[])
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1) When we reflex across the x-axis we must follow this rule:
Pre-image Image
(x, y) ----------------> (x,-y)
2) Since we have a vector <-3,5> then reflecting it across the x-axis we'll have
Pre-image Image
<-3,5>---------> <-3, -5>
3) So the vector after the reflection is < -3,-5>
A triangle has vertices on a coordinate grid at D(-5, -2), E(-5,4), andF(-1,4). What is the length, in units, of DE?
Answers
To find the length of DE,
Here D = (-5,-2) and E = (-5,4).
Hence the distance is given by
[tex]DE=\sqrt[]{(-5+5)^2+(4+2)^2}[/tex]On simplifying,
[tex]\begin{gathered} DE=\sqrt[]{6^2} \\ DE=6 \end{gathered}[/tex]Hence the length of DE is 6 units
what is the area of a square with side of 14 millimeters
Answers
The formula for determining the area of a square is expressed as
Area = length^2
If the length of each side of the given square is 14 millimeters, then
Area = 14^2
Area = 196 mm^2