Which equation BEST represents the line of best fit for the scatterplot?
A) y = 3x
B) y = x - 2
C) y = x - 3
D) y = x + 3
Answers
Related Questions
(04.02 MC)
Solve the system of equations.
5x + y = 9
3x + 2y = 4
Answers
Answer:
(2,-1)
Step-by-step explanation:
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
3 ratios that are equivalent to 3/8
Answers
Answer:
30/80 9/24 6/16
Step-by-step explanation:
Answer:
just multiply a fraction equal to 1 for example 2/2
3/8 x 2/2 = 6/16
3/8 x 3/3 = 9/24
3/8 x 4/4 = 12/32
it is equivalent because 2/2 is equal to 1 so it is being multiplied by 1
Step-by-step explanation:
A hat contains four balls. The balls are numbered 3, 6, 6, and 7. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the two balls are added together.
A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using the sum of the numbers on the balls. The sizes are small, medium and large.
Which description accurately explains how a fair decision can be made in this situation?
If the sum is 9, a small cone will be ordered.
If the sum is 10 or 13, a medium cone will be ordered.
If the sum is 12, a large cone will be ordered.
If the sum is 9, a small cone will be ordered.
If the sum is 10 or 12, a medium cone will be ordered.
If the sum is 13, a large cone will be ordered.
If the sum is 9 or 10, a small cone will be ordered.
If the sum is 12, a medium cone will be ordered.
If the sum is 13, a large cone will be ordered.
If the sum is 9 or 12, a small cone will be ordered.
If the sum is 10, a medium cone will be ordered.
If the sum is 13, a large cone will be ordered.
Answers
Answer:
I believe the answer is B
Step-by-step explanation:
The diameter of the circle is 18 m Eugene incorrectly says that the circumference of the circle is about 113.04 m what is the circumference of the circle? What mistake did Eugene make? Use 3.14 for pie
Answers
Hi
formula. for circumference of a circle is. : 2πR. if you have the radius.
As the diameter is twice the radius, then circumference is. diameter π
then : 18*π≈ 56.52
the mistake was to take the diameter as the radius.
Final answer:
The circumference of the circle is 56.52 m. Eugene made the mistake of using the radius instead of the diameter to calculate the circumference.
Explanation:
The circumference of a circle can be found using the formula C = πd, where C represents the circumference and d represents the diameter.
In this case, the diameter of the circle is given as 18 m. If we substitute this value into the formula, we get:
C = 3.14 * 18 = 56.52 m
Eugene's mistake was that he used the value of the radius instead of the diameter to calculate the circumference. The correct circumference is 56.52 m, not 113.04 m.
There are 8 flavors of ice cream and
you can have one of 2 kinds of cones
with 4 different kinds of sprinkes on
top. How many combinations are
possible?
Answers
Answer:
64
Step-by-step explanation:
you do 8x2x4
Find the area of the parallelogram shown below.
Answers
Answer:
The answer is 21
Step-by-step explanation:
The answer is 21 because...
It is hard to explain but for step one you need to take the dotted line and the shape above hat and move it underneath the other shape to make a perfect rectangle.Step two since the dotted line is our new bottom. It has a length of 7. In this step we multiply 3 times 7 Step 3 this is the final step in which 3 times 7 equals 21.Hope this helped :)Because to get the area you multiply the length times the width.
What is equivalent to the expression (x+3)(x-7)+(x+8)(x+3)
Answers
Answer:
[tex]2x^2+7x+3[/tex]
Step-by-step explanation:
[tex](x+3)(x-7)+(x+8)(x+3)[/tex]
[tex](x^2-4x-21)+(x^2+11x+24)[/tex]
[tex]x^2-4x-21+x^2+11x+24[/tex]
[tex]2x^2+7x+3[/tex]
Dont rip me off for points, if you dont know the answer dont say anything
Answers
Answer:
AB = 2 root 13
AC = 4 root 5
Step-by-step explanation:
AB = sqrt[(-4-2)² + (3-7)²]
AB = sqrt(36 + 16)
AB = sqrt(52)
AB = 2sqrt(13)
AC = sqrt[(-8-0)² + (7-3)²]
AC = sqrt(64+16)
AC = sqrt(80)
AC = 4sqrt(5)
sqrt: square root
79.99 - 12% + 8%
please dhow your work
thank you
And be safe
Answers
Answer:
79.95
Step-by-step explanation:
The first step is to rewrite the percentages into decimals so they can be added or subtracted easier. To turn a percentage into a decimal, remove the percent sign and move the decimal two spaces to the left (in other words, divide the number by 100).
12% becomes -0.12
8% becomes 0.08
Now, let's solve.
79.99 - 0.12 + 0.08
Evaluating 79.99 - 0.12, the equation becomes 79.87 + 0.08.
Evaluating 79.87 + 0.08, we get the final answer, 79.95.
−
12
100
+
8
100
=
79.99
−
3
25
+
8
100
=
79.87
+
8
100
=
79.87
+
2
25
=
79.95
can someone help me with this?
Answers
Answer: 7.7
Explanation: Make sure calculator is in degrees
x is the missing side
11/sin82=x/sin44
Solve for x by cross multiplying and divide
x=11sin44/sin82
x=7.7
Sylvie is planning to visit her mother who lives 387 miles away. If
the price of gas ranges from $1.95 to $2.13 per gallon and Sylvie's
car gets 25 miles per gallon, about how much should she plan to
spend on gas for the trip there?
more than $50
$30 to $40
less than $30
$40 to $50
Answers
Answer:
$30 to $40
Step-by-step explanation:
387/25= 15.48 (this is how big the tank is)
15.48*2.13= 32.97 (about 33 paying for the highest price)
Sylvie will need approximately 15.48 gallons of gas for her 387-mile trip. With gas prices ranging from $1.95 to $2.13 per gallon, she should plan to spend between $30.20 and $32.96. Therefore, the anticipated cost falls between $30 and $40 that is option B is correct.
To calculate the cost of gas for the trip, we need to follow these steps:
Determine the number of gallons of gas needed for the trip:
Number of Gallons = Total Miles / Miles per Gallon
Number of Gallons = 387 miles / 25 miles per gallon = 15.48 gallons
Calculate the minimum and maximum cost of gas:
Minimum Cost = Number of Gallons * Minimum Price per Gallon
Minimum Cost = 15.48 gallons * $1.95 per gallon ≈ $30.20
Maximum Cost = Number of Gallons * Maximum Price per Gallon
Maximum Cost = 15.48 gallons * $2.13 per gallon ≈ $32.96
Both calculations indicate the cost will fall between $30 and $40. Therefore, the correct answer is: $30 to $40.
Define the Negative Exponent Property
Answers
Answer:
Dividing is the inverse (opposite) of Multiplying.
A negative exponent means how many times to divide by the number.
Answer:
There is a power property for negative exponent powers which says that a power with a negative exponent is equal to 1 between the same power, but with a positive exponent. In other words, to convert the exponent from negative to positive, the power is converted to the denominator
Step-by-step explanation:
Use the divisibility tests to determine whether 900 is divisible by 2, 3, 5, 6, and 10
Answers
Answer:3
Step-by-step explanation:
What operation could you use to find how many centimeters are in 3 meters?
Complete the explanation and the conversion of 3 meters to centimeters.
The operation needed is?
because there are
centimeters in 1 meter.
3 meters?
centimeters.
Answers
Answer:
300 centimeters ( cm)
Step-by-step explanation:
The operation is "multiply by 100 the numbers of meters because there are 100 cm in 1 m "
1m=100 cm
3m=3*100 cm=300 cm
There are 100 centimeters in a meter, resulting in 300 centimeters.
The operation needed to convert meters to centimeters is multiplication because there are 100 centimeters in 1 meter. To convert 3 meters to centimeters, you simply multiply 3 meters by the conversion factor of 100 centimeters per meter.
Therefore:
3 meters × 100 centimeters/meter = 300 centimeters
Using this operation and knowing the conversion factor, we find that 3 meters is equal to 300 centimeters.
(25 POINTS!)Select all the correct locations
Answers
Answer:I go with A,C,E
Step-by-step explanation:
hope this help
PLEASE HELP!!!
Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days.
Write an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day.
How many miles does Carl need to run each day?
Answers
217/31=m
7 miles per day
Explanation:
Determine the intercepts of the line.
Answers
The x-intercept of the graph is (0.3, 0).
The y-intercept of the graph is (0, 0.4).
We have,
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
The intercepts are:
The x-intercept is the point of the line when y = 0,
The y-intercept is the point on the line when x = 0.
Now,
Apply the intercepts concept on the given graph.
From the graph,
The point when x = 0 is 0.4.
The point when y = 0 is 0.3.
Thus,
The x-intercept of the graph is (0.3, 0).
The y-intercept of the graph is (0, 0.4).
Learn more about the equation of a line here:
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An actor invests some money at 5% simple interest, and $23,000 more than 3 times the amount at 6% simple interest. The total annual interest earned from the investment is $28,290. How much did he invest at each amount? Use the 6 step method.
Answers
Answer:
He invested $117,000 at 5% interests and 3*117,000 + 23000 = $374,000 at 6% interests
Step-by-step explanation:
Let's call x to the some money at 5% simple interest the actor invest. Then, he invested 3x + 23000 dollars at 6% simple interest.
At 5% simple interest, after one year he earned the following interests:
I = P*r*t
I = x*0.05
At 6% simple interest, after one year he earned the following interests:
I = (3x + 23000)*0.06 = 0.18x + 1380
The total annual interest earned from the investment is $28,290, then:
0.05x + 0.18x + 1380 = 28290
x = (28290 - 1380)/0.23
x = $117,000
Rectangle A’B’C’D is similar to rectangle ABCD, as shown on the coordinate plane below. Which sequence or transformations maps rectangle ABCD onto rectangle A’B’C’D
Answers
The reflection over the [tex]y-axis[/tex] then a dilation by the factor of
[tex]\frac{1}{2}[/tex] with a center of dilation at the origin.
Reflection of the point:Reflecting on the [tex]y-axis[/tex] we get the rectangle A, B, C, D.
A dilation by the factor of [tex]\frac{1}{2}[/tex] with the center of dilation at the origin transforms the rectangle A, B, C, D onto the rectangle A'B'C'D'.
So, the reflection over the [tex]y-axis[/tex] then a dilation by the factor of [tex]\frac{1}{2}[/tex] with a center of dilation at the origin.
The image is attached below.
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The correct sequence of transformations to map rectangle ABCD onto rectangle A'B'C'D' is a dilation by a scale factor of 1/2. This transformation reduces the size of the original rectangle without additional translation, reflection, or rotation.
The correct sequence of transformations that maps rectangle ABCD onto rectangle A'B'C'D' is:
c. a dilation by a scale factor of 1/2
Here's why:
1. A dilation by a scale factor of 1/2 reduces the size of the original rectangle by half. This transformation scales down all the coordinates by a factor of 1/2. Given the coordinates of ABCD and A'B'C'D', this is the only transformation needed to achieve similarity.
Options a and b involve additional transformations (translation and reflection) that are not required to achieve similarity, and option d introduces a rotation which is not a dilation by itself.
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3. What is the relative frequency of a
customer 40 years or older getting
information from the Internet?
A 20%
C 50%
B 40%
Answers
Find the unit rate.
150 mi on 10 gal of gas
A: 15 mi per gal
B: 10 mi per gal
C: 150 mi per gal
Answers
We can set this as a ratio. 150:10. 150 bent how miles driven and 10 being how many gallons has been used.
Next you want to make it to where the 10 (how many gallons of gas used) is one. So you need to think what times or divides 10 so that it become one. You could either multiply by 0.1 or divide by 10. We’ll make it easier so let’s divide by 10. Now that you divided by 10 it will look like this 150:1. BUT since it is a ratio, you must do what you did on one side to the other, so divide 150 by 10 which will leave you with the ratio 15:1. The unit rate is 15 miles driven with one gallon of gas.
The unit rate of miles per gallon is found by dividing the total miles (150 mi) by the total gallons (10 gal), resulting in a unit rate of A) 15 miles per gallon.
To find the unit rate of miles per gallon when given 150 miles on 10 gallons of gas, we divide the total number of miles driven by the number of gallons of gas used. The calculation is as follows:
Write down the given values: 150 miles (mi) and 10 gallons (gal).
Divide the total miles by the total gallons to find the unit rate: 150 mi ÷ 10 gal = 15 mi/gal.
Therefore, the unit rate is 15 miles per gallon, which is option A: 15 mi per gal.
Express 8^1/2 in simplest radical form.
Answers
Final answer:
To express [tex]8^{1/2[/tex]in simplest radical form, recognize that it's equivalent to the square root of 8, then simplify to 2√2 by breaking down 8 into prime factors and finding pairs of factors.
Explanation:
To express [tex]8^{1/2[/tex] in simplest radical form, we follow these steps:
Recognize that an exponent of 1/2 is equivalent to the square root.
Find the square root of 8, which can also be written as √8.
Since 8 is not a perfect square, we can simplify it by breaking it down into its prime factors: 8 = 2 x 2 x 2.
Group the factors into pairs to determine the square root: 8 has one pair of 2s.
This pair comes out of the radical as a single 2, leaving one 2 inside the radical: 2√2.
Therefore, 8^1/2 simplifies to 2√2, which is the simplest radical form.
Find the radius of sphere with a volume of 1372π/3 cubic feet.
Answers
Answer:
The radius of the sphere is 7m
Step-by-step explanation:
Given
Volume of a sphere = 1372π/3 m³
Required
The radius.
The volume of a sphere is calculated using the following formula.
V = 4/3 πr³
Where V = volume of the sphere and r represents it's radius.
By substitution;
1372π/3 = 4/3 πr³
Multiply both sides by 3
1372π = 4πr³
Divide through by 4
343π = πr³
Divide through by π
343 = r³
Take cube root of both sides.
r = 7.
Hence, the radius of the sphere is 7m
A scaled drawing uses a scale factor of 1:25. Is the drawing a reduction or an enlargement? Support your conclusion with an example.
Answers
Answer:
Reduction scale
Step-by-step explanation:
Enlarging scale means that the drawing is larger than the actual object. Hence the representative fraction will be greater than unity. For reducing scale the representative fraction is less than unity.
So now looking at 1:25, we see it's a reduction scaling because it's fraction is less than unity.
And what 1:25 means is that 1 on paper while the actual size of the object is 25
A triangular prism. The rectangular sides are 6 centimeters by 10 centimeters, 10 centimeters by 5 centimeters, and 10 centimeters by 5 centimeters. The 2 triangular bases have a base of 6 centimeters and height of 4 centimeters. What is the surface area of the triangular prism shown? 32 square centimeters 120 square centimeters 184 square centimeters 1,560 square centimeters
Answers
Answer:
184
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is 90 people to 45 people decrease
Show your work
Answers
Answer:
45
Step-by-step explanation:
90 - 45 = 45
21. In 4 + In(4x - 15) = In(5x + 19)
Answers
Answer:
[tex]x=-30;\quad \:I\ne \:0[/tex]
Step-by-step explanation:
[tex]In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)[/tex]
[tex]\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\[/tex]
[tex]\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:[/tex]
[tex]\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0[/tex]
GIVING BRANLIEST
Which ordered pair is the solution to this system of equations?
y = 4
3x - 2y = 4
Group of answer choices
(0, 6)
(0, 4)
(-4, 4)
(4, 4)
Answers
Answer:
(4,4)
Step-by-step explanation:
Answer:
(4,4). You already know the y value is 4, so you just plug that into the second equation. You'd get 3x-8=4, then 3x=12, then x=4. (x,y)=(4,4)
What is the area of the rhombus?
square units
Answers
Answer:
Area = 80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Vertical length-16
Horizontal length- 10
make four separate triangles out of the rectangle
each triangle has an area of of 20 (8×5= 40 40/2=20)
multiply by 4
20×4=80
Help looks like i forgot to read a ruler
Answers
Answer:
the second one
Step-by-step explanation:
Answer:
2nd one is right
Step-by-step explanation: