The value of k in the equation, k over 22.8 equals 6.9, is 157.32.
What is the value of k?The given equation is:
k / 22.8 = 6.9
In order to determine the value of k, multiply both sides of the equation by 22.8.
Multiplication is one of the basic mathematical operation. It is the operation that is used to determine the product of two or more numbers by adding a number with another number repeatedly over a number of times. The sign that represents multiplication is ×.
(k / 22.8) x 22.8 = 6.9 x 22.8
k = 157.32.
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A highway has a minimum speed limit of 45 miles per hour and a maximum speed limit of 70 miles per hour. Write an inequality that represents the legal driving speeds, s, in kilometers per hour.
The inequality that represents the legal driving speeds, s, in kilometers per hour is 45 >= s <= 70.
What is an inequality?It should be noted that an inequality is simply used in mathematics to show that the expression or equation aren't equal.
From the information, the highway has a minimum speed limit of 45 miles per hour and a maximum speed limit of 70 miles per hour.
Therefore, the inequality that represents the legal driving speeds is 45 >= s <= 70.
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What is the value of x? (1 point)
A.24
B.9
C.21
D.14
sion of the question. Make sure you start new workings.
Chris is taking part in a 20 kilometres (km) running race
and has completed 5/8 of the course.
How many metres (m) does he have left to run?
Answer:
7500 or 7.5 or 10³ ..... .............
Latanya has 37 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (the fourth side of the enclosure would be the river.) the area of the land is 143 square meters. list each set of possible dimensions (length and width) of the field.
The set of possible dimensions (length and width) of the field are {13.5, 10, 5.5, and 26}.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
The perimeter = 2W+ L
37 = 2W + L
L = 37 - 2W
Hence,
area = W(37 - 2W)
143 = 37W - 2W²
-2W² + 37W - 143 = 0
W² - 18.5 W + 71.5 = 0
W = 13.5, 5.5
Take the value of W = 13.5
Then,
L = 37 - 2W
L = 37 - 2(13.5)
L = 10 meters
Take the value of W = 5.5
Then,
L = 37 - 2W
L = 37 - 2(5.5)
L = 26 meters
Therefore, the set of possible dimensions (length and width) of the field are {13.5, 10, 5.5, and 26}.
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Kimai is making blankets for charity. In order to determine how many hats she can make per hour, she created 3/5 of the hats in 1/8 of an hour. Which would be the proper form of the unit rate?
hurry!!!!
When Kimai is making blankets for charity, the proper form of the unit rate is 4 hats per hour.
How to calculate the value?From the information given, it was stated that Kimai is making blankets for charity. In order to determine how many hats she can make per hour, she created 3/5 of the hats in 1/8 of an hour.
Therefore, the proper form of the unit rate will be:
= Amount of hats / Time
= 3/5 ÷ 1/8
= 3/5 × 8/1
= 4.8
Therefore, the proper rate will be 4 hats per hour.
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Answer: 4 hats per hour
Step-by-step explanation:
Emiliano buys two coffees for $8.98. He tips the barista 20% of the bill. How much did Emiliano tip? Round your answer to the nearest cent.
Please help!
The amount for Emiliano tip is $1.8.
How to calculate the value?From the information, Emiliano buys two coffees for $8.98 and he tips the barista 20% of the bill.
The value of the tip will be:
= Percentage × Value of coffee
= 20% × $8.98
= 0.2 × $8.98
= $1.796
= $1.8 to the nearest cent.
This illustrates the concept of multiplication.
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given g(x)=2x-4 , find g(2)
Answer:
g(2) = 0
Step-by-step explanation:
g(2) is the value of x.
So, we would place g(2) with x:
g(2) = 2(2) - 4
g(2) = 4 - 4
g(2) = 0
If the given function is g(x)=2x-4, the value of g(2) will be 0.
What is a function?The function is described as a particular kind of relationship, and each value in the domain is associated with exactly one value in the range according to the function. They have a predefined domain and range.
It is given that the function is, g(x)=2x-4
We have to find g(2).
In order to find the g(2), substitute 2 as the place of x as,
g(x)=2x-4
g(2)=2×2-4
g(2)=4-4
g(2)=0
Thus, for the given function g(x)=2x-4, the value of g(2) will be 0.
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the circumference of a circle is 60cm what is the area
step by step explanation please
Answer: The area of a circle is 286.37cm².
Step-by-step explanation: The answer to this question can be solved by finding the value of the radius from the circumference and substituting it into the area.
Following are the steps to solve this problem:-
Step 1. The circumference of the circle is 60cm.
The formula for the circumference of a circle is 2[tex]\pi \\[/tex]r.
Step 2. Calculating the value of radius (r) is 2[tex]\pi[/tex]r=60 cm.
2x 3.14xr =60cm.
r= 9.55cm
Step 3. Calculate the area of a circle by using the formula [tex]\pi[/tex]r²
Substituting the valur r( from step 2 ) in the formula
3.14x9.55x9.55= 286.37cm²
Thus, the answer is 286.37cm²
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hello so i got stuck on this problem thanks to whoever answers this!!!
The machine can make 25 soda bottles each minute.
What is the slope of a graph?The ratio between the change in the values of the y variables and the change in the values of the x variables is known as the slope. It shows how much the y-value changes for every unit change in the x-value.
Given:
The graph shows a relationship between the time and the number of soda bottles a machine can make.
Points are (3,75) and (7,175).
We have to calculate the number of soda bottles the machine can make each minute i.e. rate of the machine.
To determine the rate of the machine which is equal to the slope of the graph,
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{175-75}{7-3}[/tex] = [tex]\frac{100}{4} =25[/tex]
Therefore, the machine can make 25 soda bottles each minute.
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Between 11 pm and 8:10 am, the water level in a seimming pool decreased by 5/12 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
The rate at which the water level dropped each hour is 5 / 34 inches per hour.
What is the rate of water drop each hour?In order to determine the rate at which the water level dropped each hour , divide the total decrease in the water level by the total time it took for the water to decrease.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
Change in water level per hour = total decrease / change in time
Change in time = 11 - 8 : 10 = 2 : 50 am = 2 hours 5/6 minutes
Change in water level per hour = 5/12 ÷ 2 5/6
5/12 ÷ 17/6
5 / 12 x 6 / 17 = 5 / 34 inches per hour
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Drag the similar figure into the table. Angle measures are rounded to the nearest integer.
Answer:
drag Traingle B into the box
The similar figure is B. , which have to drag into the table.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
from the given diagram, we get,
the shown figure is a equilateral triangle with all angle =60 degree.
And, as shown, in figure B. we get , a equilateral triangle with all angle 60degree.
Hence, The similar figure is B. , which have to drag into the table.
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Brihanna travels 60 kilometers in two hours. How many meters of distance will she cover in one minute?
Answer:
1
Step-by-step explanation:
60 Kilometers = 120 minutes
60 ÷ 120 = .5
.5 × 2 = 1
1 kilometer = 2 Minutes
Tess is 3 inches shorter than Johnny. Johnny is i inches tall. Write an expression that shows how many inches tall Tess is.
The expression that shows how many inches tall Tess is t = i - 3.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
In this case, Tess is 3 inches shorter than Johnny. and Johnny is i inches tall. Since Tess is shorter, we will subtract.
Therefore, the expression will be:
t = i - 3
where t = Tess height.
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Nicholas has some cans at home to donate to the soup kitchen, but he decides to start a can drive at his school to see if other students will help. The table represents the number of cans donated, y, which is dependent on the number of days cans are collected, x.
A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 955, 1660, 2365.
Find the linear equation that represents the scenario.
y = 235x + 15
y = 4x + 955
y = 15x + 235
y = 3x + 705
The linear equation that represents the scenario is: y = 235x + 15.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given points into the formula, we have;
Slope = (1660 - 955)/7 - 4)
Slope = 705/3
Slope = 235.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁) or y = mx + c
Where:
m represents the slope.x and y are the points.By critically observing the graph (see attachment) which models the data in the given table, we can reasonably infer and logically deduce that the linear function is given by: y = 235x + 15.
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100 PONITSS HELPPPPPPPPP
Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores.
Class 1
45
68
77
90
90
95
100
100
86
90
50
55
Class 2
64
65
70
40
100
87
84
88
90
90
95
80
Class 3
70
75
75
90
100
80
55
65
76
80
88
99
a. Find the mean, median, mode and range of Class 1.
b. Find the mean, median, mode and range of Class 2.
c. Find the mean, median, mode and range of Class 3.
d. Find the standard deviation of Class 1.
e. Find the standard deviation of Class 2.
f. Find the standard deviation of Class 3.
g. Which class had a higher standard deviation and what does that mean?
h. In your opinion, which class did better on the exam? Explain your answer.
The values of the descriptive statistics of the given data on the scores of the classes in the Algebra class are;
a. Mean; 78.83, Median; 88, Mode; 90, Range; 55
b. Mean; 79.52, Median; 85.5, Mode; 90, Range; 60
c. Mean; 79.52, Median; 78, Mode; 75, Range; 45
d. 19.66
e. 16.87
f. 13.27
g. Class 1
h. Class 3
What is a descriptive statistic?A descriptive statistic is one that provides an idea of contents of a dataset by outlining the pattern found within the dataset
Mean
The mean of the dataset is given by the formula;
[tex] \displaystyle{Mean = \frac{Sum \: of \: data}{Number \: of \: data}} [/tex]
Median
The median of a dataset is the middle term of a dataset when the data are arranged in increasing order
Mode
The mode of a dataset is the value that occurs most frequently
Range
The range is given by the difference between the maximum and minimum values of the dataset
a. The mean of Class 1 obtained from an application is 78.83
The median = 88
The mode = 90
The range = 55
b. The mean of Class 2 obtained from an application is 79.42
The median = 85.5
The mode = 90
The range = 60
c. The mean of Class 3 obtained from an application is 79.42
The median = 78
The mode = 75
The range = 45
d. The standard deviation is given by the formula;
[tex] \displaystyle{\sigma = \sqrt{\frac{\sum (x_i -\bar x)^2} {N}}}[/tex]
Where;
[tex] \displaystyle{ x_1}[/tex] = The ith data
[tex] \displaystyle{\bar x}[/tex] = The mean
N = The number of data
Solving using a spreadsheet application, we have;
The standard deviation for class 1 = 19.65
e. The standard deviation of class 2 found using a spreadsheet application is 16.87
f. For class 3, the standard deviation is 13.27
g. From the above calculations, the class that has the highest standard deviation is class 1, with a standard deviation of 19.65
The high standard deviation means that there is a lot of variability or variation in the scores of class 1
h. The class that did better is class 3, that has the lowest standard deviation and range as well as one of the highest mean
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at 1:00 pm, the temperature was 18 degrees. It rose 7 degrees during the afternoon and then dropped 30 degrees by midnight. What was the temperature at midnight
Answer:
-5
Step-by-step explanation:
(18+7)-30
25-30=
-5
If Billy's truck can drive 12.6 miles per
gallon of gas. If he has 11.3 gallons of gas in his
truck, how many miles will he be able to drive before
running out of gas?
Question 2 [5 marks] A rectangular milk carton holds 2.1 litres of milk (2100 cm³). The base of the carton is a square. The height is 26.64cm and the width and length are 8.88cm each. 2.1. If the width and length of the carton is doubled, and the height remains the same, how much milk will the carton now hold? (3)
The carton can hold 8402.7cm3 or 8.4 litres of milk now
What volume of milk can the carton hold now?Initially, the width and length of the carton are 8.88cm each.
Now, the width and length of the carton are doubled. That is:
The width and length are 2 x 8.88cm = 17.76 cm each
But the height remains the same: 26.64cm
Volume of the carton = width x length x height
= 17.76 x 17.76 x 26.64
= 8402.7 cm3 = 8.4 litres
Therefore, the quantity of milk the carton can hold now is 8402.7 cm3 or 8.4 litres.
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What is the difference? −15 − (−3)
Hepllllllllll plssssssssssss
The function that best describes the graph is y = x² + 9x + 18. The correct option is B. y = x² + 9x + 18
From the question, we are to determine the function that best describes the graph
From the graph, we can observe that the roots of the quadratic equation are x = -6 and x = -3
Thus,
(x + 6) and (x + 3) are factors of the quadratic equation.
Then,
Multiplying the factors, we get
(x + 6)(x + 3) = 0
x(x +3) + 6(x + 3) = 0
x² + 3x + 6x + 18 = 0
x² + 9x + 18 = 0
This means the function is y = x² + 9x + 18
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40
×
40
17
Evaluate
Answer:
your answer would be 160680
Step-by-step explanation:
Solve the following system of equations using Gaussian elimination
how do I solve. step by ptep please
2x - y + 4z = 33
x + 2y - 3z = -26
-5 x - 3y +5z = 23
After solving the system of equations using Gaussian elimination we get the values as x = 5 , y = -11 and z=3
Given we have the system of equations as follows:
2x - y + 4z = 33
x + 2y - 3z = -26
-5 x - 3y +5z = 23
Rewrite the system in matrix form and solve it by Gaussian elimination.
[ 2 -1 4 [ 33
1 2 -3 = -26
-5 -3 5 ] 23 ]
Now divide row 1 by row 2.
[ 1 -0.5 2 [ 16.5
1 2 -3 = -26
-5 -3 5 ] 23 ]
Now R₂ - 1R₁ → R₂
and R₃ + 5R₁ → R₃
[ 1 -0.5 2 [ 16.5
0 2.5 -5 = -42.5
0 -5.5 15 ] 105.5 ]
Divide row 2 by 2.5.
[ 1 -0.5 2 [ 16.5
0 1 -2 = -17
0 -5.5 15 ] 105.5]
R₁+0.5R₂ → R₁
R₃ + 5.5R₂ → R₃
[ 1 0 1 [ 8
0 1 -2 = -17
0 0 4 ] 12 ]
Divide R₃ by 4
[ 1 0 1 [ 8
0 1 -2 = -17
0 0 1 ] 3 ]
Therefore, R₁-1R₃→R₁
R₂ + 2R₃ → R₂
[ 1 0 1 [ 5
0 1 0 = -11
0 0 1 ] 3 ]
therefore x = 5, y=-11 and z = 3.
Hence we solved the system of equations using Gaussian elimination.
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What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence?
Answer:
B
Explanation:
Given:
By using HL method of congruence, we can determine that triangle ABC is congruent to triangle EDC. HL method of congruence means that the two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. Based on the given figure, we see taht the legs AB and DE are congruent. Next, we check for a pair of hypotenuses. So, we need AC congruent to EC.
Therefore, the additional information we needed using HL method of congruence is AC congruent to EC.
3(x+2)+7 equivalent expression
multiply ecerything that is in the brackets by 3
[tex]3(x) + 3(2) + 7 \\ = 3x + 6 + 7 \\ = 3x + 13[/tex]
ATTACHED IS THE SOLUTION
help me lead with don’t know how to do this
Answer: line mn = 4
Step-by-step explanation:
Note: There's a chance i might be wrong.
Due to de=12, and ef=10, it seems as though a pattern is clear and that ef was -2 the size of de. Since lm is 6, de got divided by 2, 12/2=6
Therefore, subtract 2 from 6, and you get 4.
Hope this helps
2.4 ft x 1.8 ft x 1.2 ft=
Answer: 5.184 ft
Step-by-step explanation:
You estimate that you can do 30 math problems in 45 min. How many minutes should it take you to do 40 math problems
REally need help plss
1) The relationship between ∠1 and ∠3 is that they are corresponding angles.
2) The relationship between ∠8 and ∠4 is that they are alternate exterior angles
3) The relationship between ∠2 and ∠3 is that they are supplementary angles.
How to identify corresponding angles?When it comes to congruent angles, we know that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
Now, in the first figure, we see that there are a total of eight angles and we also see that 2 parallel lines have been intersected by a third one. Thus, some of the angles will be congruent to others. In this case, we see that the relationship between ∠1 and ∠3 is that they are corresponding angles.
Now, in the second figure, we see that there are a total of eight angles and we also see that 2 parallel lines have been intersected by a third one. Thus, some of the angles will be congruent to others. In this case, we see that the relationship between ∠8 and ∠4 is that they are alternate exterior angles because they are formed on the outside of the parallel lines.
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on a scaled drawing a building measers 4.5 cm tall if the scale drawing is 25 meters per 2 cm how tall is the actual building?
The actual building is tall 56.3 meters
How to calculate the height of the actual building ?
On a scaled drawing a building measures 4.5 cm tall
The scale drawing is 25 meters per 2 cm
The first step is to calculate the equivalent of 1 cm in meters
2 centimetres= 25 meters
1 centimetre= x
cross multiply both sides
2x= 25
x= 25/2
x= 12.5
1 centimetre is 12.5 metres
4.5 centimetres in metres is
= 4.5 × 12.5
= 56.3
Hence the height of the actual building is 56.3 meters
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A line passes through the point (9, 7)and has a slope of 4/3
Write an equation in slope-intercept form for this line.
[tex]\displaystyle\\Answer:\ y=\frac{4}{3}x-5[/tex]
Step-by-step explanation:
[tex]y=mx+b\\[/tex]
[tex]\displaystyle\\The\ slope\ m=\frac{4}{3} \\\Rightarrow\ y=\frac{4}{3}x+b[/tex]
A line passes through the point (9, 7)
Thus,
[tex]\displaystyle\\x=9\ \ \ \ y=7\\\\7=\frac{4}{3} (9)+b\\\\7=\frac{4(9)}{3} +b\\\\7=\frac{36}{3} +b\\\\7=\frac{3(12)}{3} +b\\\\7=12+b\\7-12=12+b-12\\-5=b\\So,\ y=\frac{4}{3}x-5[/tex]