Answer:
Option C; 3x - y = -27 and x + 2y = 16
Step-by-step explanation:
1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.
2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.
3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ Answer: Option C
Kevin won two goldfish at the county fair. He put them in a bowl with 2 liters of water. The next day, he bought a fish tank that holds 75 liters of water.How much more water does the tank hold than the bowl?
Answer:
UDCVUEGBCYEJJAJAJ
Step-by-step explanation:
3. The temperature dropped 5 degrees each hour for 7 h. Use an integer to represent
the total change in temperature.
sallycamerfor
14 in total
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thats all i came here for
A. 30.0 in
B. 7.5
C. 10.8
D. 27.6in
Answer:
A
Step-by-step explanation:
Explain the significance of m and b in y = mx + b.
Answer:
the slope of the equation
Ms. Ahmed has a rectangular garden where she grows tomatoes. The length of her garden is represented by t + 4 and the width by 2t - 1. Express the area of Ms. Ahmed's garden as a polynomial in standard form. If the area of Ms. Ahmed's garden is 56 ft2, what are the dimensions of the garden?
Answer:
Area of the garden in standard form:
Area = (2t^2) + 7t - 4
The dimension of the garden is 8ft × 7ft
Step-by-step explanation:
Length of the rectangular garden, L = t+4
Width of the garden, B = 2t - 1
Area = length * width
Area = (t+4) * ( 2t-1)
Area = (2t^2) + 7t - 4..….......(1)
If the Area = 56 ft^2
Substitute Area into (1)
56 = (2t^2) + 7t - 4
(2t^2) + 7t - 60 = 0
(2t^2) - 8t + 15t - 60 = 0
2t(t - 4) + 15(t - 4) = 0
(2t+15) (t-4) = 0
Let 2t + 15 =0
t = -7.5
Let t - 4 = 0
t = 4
* When t = -7.5
Length, L = -7.5 + 4 = -3.5 ft
Width, B = 2(-7.5) -1 = -16 ft
Since length and breadth cannot be negative, t = -7.5 is not possible
** When t = 4
Length, L = 4+4 = 8 ft
Width, B = 2(4) - 1 = 7 ft
Therefore, the dimension of the garden is 8ft × 7ft
Answer:
The dimension is 8ft by 7ft
Step-by-step explanation:
Given data
Length l = [tex](t+4)[/tex]
Width w= [tex](2t-1)[/tex]
the area is expressed as [tex]A= length * width[/tex]
[tex]A= (t+4)*(2t-1)\\A= t(2t-1) +4(2t-1)\\A= 2t^{2}-t+8t-4\\[/tex]
collecting like terms we have
[tex]A= 2t^{2} +7t-4[/tex]
hence our expression for area is [tex]A= 2t^{2} +7t-4[/tex]
given that the area is [tex]56ft^{2}[/tex] to solve for the sides we need to first solve fot t
equating the expression for area to 56 we can solve for t
[tex]A= 2t^{2} +7t-4= 56[/tex]
taking the constant term to the other side and solve we have
[tex]A= 2t^{2} +7t-4-56\\A= 2t^{2} +7t-60\\[/tex]
we can substitute two factors for 7t that when multiplied we give -60 and when added we give 7 these factors are 15 and -8
[tex]A= 2t^{2} +7t-60\\\\A= 2t^{2} -8t+15t-60\\2t^{2} -8t+15t-60=0\\\\2t(t-4) +15(t-4)= 0\\2t+15=0, (t-4)= 0\\2t=-15, t= -7.5\\t= 4[/tex]
t=4 hence the length is
[tex](t+4)\\(4+4)= 8ft\\[/tex]
hence the width is
[tex](2t-1)\\(2*4-1)= (8-1)= 7ft[/tex]
This net can be folded to form a cube with a side length of 20 units. A cube has side lengths of 20 units. What is the surface area of the cube in square units? 1,400 square units 2,400 square units 4,800 square units 8,000 square units
Answer:
2400
Step-by-step explanation:
Answer:
2,400 square units / B
Step-by-step explanation:
For which of the following graphs would it make sense to connect
the points?
a. a graph showing the amount of Karl's monthly rent
b. a graph showing the number of signatures on a petition
c. a graph of the temperature at each hour during the day
d. a graph showing the number of raffle tickets sold
I think that the correct answer to the question is A
does anyone know the answer for top and bottom? please help
Answer:
15/18=5/6
14/18=7/9
the last symbol
Step-by-step explanation:
Answer:
For the first part (the part on the top), you have to make the fractions have the same denominator. To do this, you must find the LCM (least common multiple) of 6 and 9. The LCM of 6 and 9 would be 18 because 6x3=18 and 9x2=18. Now, both of the denominators are 18. But we still have to change the numerators! To change the numerators, we must multiply them by the same numbers that we multiplied the denominators by. So for 5/6, we would multiply the 5 (the numerator) by 3 because that is what we multiplied the 6 by. 5x3=15. So now the first fraction, 5/6, is 15/18 (that's the answer). For 7/9, we still have to multiply the 7 (the numerator) by 2. 7x2=14. So now this fraction, 7/9, is 14/18 (that's the answer).
So basically what I was saying is that 5/6=15/18 and 7/9=14/18.
For the second part (the part on the bottom), you have to compare the fractions. It is difficult right now as it is written as 5/6 and 7/9. But remember what we did for the first part! Think about these fractions as 15/18 and 14/18. 15/18 is larger than 14/18. So the answer for the part on the bottom is 5/6 > 7/9.
Hope this helps! :)
Which two of the following are continuous data?
A) concert attendance
B) age of a student
C) number of pens in a box
D) time taken to run 1 mile
Answer:
Age of a student (B) and Time taken you run 1 mile (D)
Step-by-step explanation:
Only the age of a student and the time taken to run 1 mile are continuous data.
What are the types of data?
The data is classified into majorly four categories:
Nominal data: Nominal Data is used to label variables without any order or quantitative value.Ordinal data: Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Discrete data: The term discrete means distinct or separate. The discrete data contain the values that fall under integers or whole numbers.Continuous data: Continuous data are in the form of fractional numbers. It can be the version of an android phone, the height of a person, the length of an object, etc. Continuous data represents information that can be divided into smaller levels. The continuous variable can take any value within a range.As per the given definitions above we can state that Continuous data is (B) the Age of the students (D) the Time taken to run 1 mile
Therefore, the Answer is (B) and (D)
Learn more about data here:
https://brainly.com/question/10980404
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Nathan took his car in for service and repair. He had a coupon for 15% off. $261.36 $381.25 $77.52 Which amount is closest to Nathan's total costs after the 15% discount and 7% sales tax?
Answer:
Total amount to be paid = $655
Step-by-step explanation:
Given,
Total price before coupon is = 261.36 +381.25+77.52
= $720.13
Discount = 15%
Amount of discount = 15% of total amount
Amount of discount = [tex]\frac{15}{100} \times 720.13[/tex]
= $108.02
Remaining amount = Total amount - discount amount
Remaining amount = $720.13 - $108.02
= $612.11
Sales tax = 6%
Amount of sales tax = 6% of remaining amount
[tex]=\frac{6}{100} \times 612.11\\\\=42.85[/tex]
Amount to be paid = Remaining amount + sales tax
= 612.11 + 42.85
= 654.96
Rounding off to nearest whole number;
Total amount to be paid = $655
Choose the graph that represents the linear equation 6x - 2y = 12. *
9
Answer: x-intercept = 2, y-intercept = -6
Step-by-step explanation:
To solve this problem, we must first convert 6x - 2y = 12 to slope-intercept form by getting y by itself.
1. 6x - 2y = 12
2. -2y = 12 - 6x
3. -2y/-2 = 12/-2 - 6x/-2
y = 3x - 6
Using our knowledge of what the slope-formula represents, we know that the -6 is the y-intercept.
To find the x-intercept, we set the formula equal to 0 instead of y and solve for x.
1. 0 = 3x - 6
2. 0 + 6 = 3x
3. 6/3 = 3x/3
x = 2
What is the area of the rectangle?
Answer:
Root square 25² - 15² = 20
Area = 20×15 = 300 cm²
Can u add me as Brainest pls?
Do you think it is possible to create a triangle with sides that measure 2 inches, 2 inches, and 4 inches long?
Answer:
No
Step-by-step explanation:
2+4 > 4
2+2 is not > 4
I can't figure this question out can I please have help with this question
Answer:
360 or 90
Step-by-step explanation:
if u turn it 360 then u turn it all around and it is as u started with it at beginning and if 90 then u turn it half way but it still looks the same
I need help with question 10 please
Answer:
172
Step-by-step explanation:
13/40=x/528
40x=6864
x=172
Mark spent $73.43 on some CDs. He purchased 7 CDs. What was the price of each CD?
Answer:
$10.49
Step-by-step explanation:
if the problem doesn't account for tax, 73.43 divided by 7 is 10.49
Someone help me with this please
Answer:
60 88
Step-by-step explanation:
khn566
Answer:
60 and 88
Step-by-step explanation:
Find the quotient: 8,441 ÷ 21 = ________. a. 400 r 12 b. 400 r 20 c. 401 r 12 d. 400 r 20
I Believe that the correct answer is option C) 401 r
8,441 ÷ 21 = 401.952380952
HOPE THIS HELPED!!!
If not please comment below
An airplane took off and flew at an angle of elevation 12° with the ground. What was the approximate altitude of the airplane, (high how is the plane directly from the ground), after it had flown 8,000 meters (hypotenuse)?
Answer:
1663 m approx.
Step-by-step explanation:
We have a right triangle in which we know the hypotenuse and need to find the opposite side, so we use the sine function:
sin 12 = h / 8000
h = 8000 sin 12
= 1663 m approx.
Please help ASAP!!!!!
Answer the question in the image.
Answer:
151.7
Step-by-step explanation:
You find volume with length times width times height. The length is 3.7. The height is 10 and the width is 4.1. When you multiply together you get 151.7.
Answer:
Step-by-step explanation: The answer is 151.7 because the formula for volume is volume= length(width)(height). You need to multiply all three values to receive the answer of 151.7 cm cubed.
17. The length, breadth and height of a cuboid are doubled. What happens to its
surface area?
A.It is doubled.
B.It becomes four times.
C It becomes eight times.
D. (Nothing can be said with out knowing the dimensions of the cuboid.)
guys please tell the answer for this question....please.....
Answer:
D.
Step-by-step explanation:
Try any example and double
you will find that A is incorrect
B) incorrect
C incorrect
D is my answer.
what is the area of a circle with a radius of 1 foot
1/4 pi ft square
1/2 pi ft square
pi ft square
2 pi ft square
What is the domain of the function f(x)=x^2+3x+5?
OA
all whole numbers
OB.
all positive real numbers
O c. all integers
OD. all real numbers
Answer:
all real numbers
Step-by-step explanation:
Answer:
The domain of this function is all real numbers
Step-by-step explanation:
Unless there is a domain restriction for the function, the domain of a function is all real numbers. This means that all we need to do is determine whether there is a domain restriction.
The things that cause a domain restriction are: an x in the denominator of a fraction like [tex]f(x)=\frac{1}{x}[/tex] or a radical like [tex]f(x)=\sqrt{1-x}[/tex]
As there are no variables in the denominator or a radical, we can conclude that the domain of this function is all real numbers.
Which two expressions have the same value?
Answer:
a.
Step-by-step explanation:
i don't know the explanation step by step
Express x in term of y:x/7+2y=6
Answer:
You have to multiply the denorminator to both sides in order to make x the subject :
[tex] \frac{x}{7 + 2y} = 6[/tex]
[tex]x = 6(7 + 2y)[/tex]
Answer:
Given
x/7 + 2y = 6
Multiply through by 7 to clear the fraction
x + 14y = 42 ( subtract 14y from both sides )
x = 42 - 14y
Step-by-step explanation:
Write an equation to represent the following statement.
The sum of j and 47 is 55.
Answer:
J plus 47 = 55
If you need to find J
The value of J is
J=55-47
J=8
Step-by-step explanation
Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?
Answer:
The value of AB is 14
Step-by-step explanation:
When we say a set of points are collinear, what we mean is that those points are on the same straight line i.e they lie on a straight line.
Now B is between A and C
Since B is between A and C
Then mathematically;
AC = AB + BC
18 = AB + 4
AB = 18-4
AB = 14
Based on the segment addition theorem, the value of AB would be: 14.
What is Segment Addition Theorem?Given that three points, A, B, and C are collinear, where b is between points A and C, the segment addition theorem states that, AB + BC = AC.
Given:
AC = 18BC = 4AB = ?Thus:
AB + 4 = 18 (segment addition theorem)\
AB = 18 - 4
AB = 14
Thus, based on the segment addition theorem, the value of AB would be: 14.
Learn more about segment addition theorem on:
https://brainly.com/question/1397818
a rectangle is reduced by a scale factor of 1/4 which choices show the ratio of the area hurry because i need this for a test
Aleecha107Junior Moderator
Answer:
The area would be 1 : 16 ratio, of the smaller rectangle to the larger one.
Step-by-step explanation:
I used a rectangle with the side length of 1 to model this for me. You can choose any number, but 1 is easy to multiply.
If the original rectangle had a side length of 1 and 1, the area would be 1.
If you reduce the size to 1/4th of the size, the area would be 0.0625, or 1/16th of the original.
I hope this helped!
4(t+25)=4(t+50)−4(0.15t) sove for t step by step
Answer:
500/3.
Step-by-step explanation:
4(t+25)=4(t+50)−4(0.15t)
4t + 100 = 4t + 200 - 0.6t
Subtract 4t from both sides
100 = 200 - 0.6t
-0.6t + 200 = 100
-0.6t = -100
0.6t = 100
6t = 1,000
3t = 500
t = 500/3, or 166.6666667, or 166 and 2/3.
Hope this helps!
Someone help please! I put A but I’m not sure if it’s correct.
Answer: B
21x^2-17x+2
Step-by-step explanation: