Solution:
Given that,
[tex]\text{ slope of line } =\frac{3}{4}[/tex]
A different line passes through the points (6, 3) & (-1, 5)
Find the slope of this line
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From given,
[tex](x_1, y_1) = (6, 3)\\\\(x_2, y_2) = (-1, 5)[/tex]
Substituting we get,
[tex]m = \frac{5-3}{-1-6}\\\\m = \frac{2}{-7}[/tex]
For two lines are parallel, then their slopes must be equal
But here,
[tex]\frac{3}{4} \neq \frac{-2}{7}[/tex]
Therefore, They are not parallel because their slopes are not equal
What is the relationship between 4, 16, and squares?
Answer:
A square has 4 sides. 4 squares have 16 sides.
Step-by-step explanation:
Complete the table of ordered pairs for the given linear equation.
x + 4y = 12
Here in question, the table is not given to complete the table with ordered pairs. So, in general, found the possible integer ordered pairs to create the table as in attached figure are [tex](x,y) =(0,3), (12,0),(4,2),(8,1)[/tex].
Step-by-step explanation:
We have the following given linear equation : [tex]x+4y = 12[/tex].Let's find out ordered pairs that satisfies this linear equation .
At x=0 ,
[tex]0 + 4y = 12 \\4y=12\\y=3[/tex]
So, one pair is [tex](x,y) = (0,3)[/tex].
Similarly, At y=0,
[tex]x +4.0 = 12\\x=12[/tex]
SO, another pair is [tex](x,y) = (12,0)[/tex].
At x=4,
[tex]4+4y=12\\4y=8\\y=2[/tex]
Pair is [tex](x,y) = (4,2)[/tex].
At x=8,
[tex]8+4y=12\\4y=4\\y=1[/tex]
Pair is [tex](x,y) = (8,1)[/tex].
Therefore all the possible integer ordered pairs are [tex](x,y) =(0,3), (12,0),(4,2),(8,1)[/tex].
Help!!!!!!!ASAP!!!!! IXL!!!!!!!!
Answer:
The intersection is (1,-2) I am really sure.
Question 23 (4 points)
Lenny worked 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday.
His gross pay for all three days was $196.90.
What was his hourly rate?
$8.20
$8.95
$28.13
$65.63
Lenny's hourly rate is calculated by dividing his gross pay of $196.90 by the total number of hours worked, which is 22 hours. The calculation gives an hourly rate of $8.95.
Explanation:The question is asking to calculate Lenny's hourly rate based on his gross pay for work done over three days. To find this rate, we will add the total number of hours worked and divide the total gross pay by this number.
Calculate the total number of hours Lenny worked: 7 hours on Wednesday, 6 hours on Thursday, and 9 hours on Friday. This totals 22 hours.Divide the gross pay of $196.90 by the total number of hours (22) to find the hourly rate: $196.90 / 22 hours = $8.95 per hour.Therefore, Lenny's hourly rate is $8.95.
The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
A) (5, 3)
B) (6, -3)
C) (2, -5)
D) (6, -5)
Answer:
The option B) is correctTherefore the coordinate of B[tex](x_2,y_2)[/tex] is (6,-3)Step-by-step explanation:
Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).
To Find the coordinates of point B:Let the coordinate of A be [tex](x_1,y_1)[/tex] is (2,7) respectivelyLet the coordinate of B be [tex](x_2,y_2)[/tex]And Let M(x,y) be the mid point of line segment AB is (4,2) respectivelyThe mid-point formula is [tex]M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Now substitute the coordinates int he above formula we get[tex](4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})[/tex]Now equating we get[tex]4=\frac{2+x_2}{2}[/tex] [tex]2=\frac{7+y_2}{2}[/tex]
Multiply by 2 we get Multiply by 2 we get
[tex]4(2)=2+x_2[/tex] [tex]2(2)=7+y_2[/tex]
[tex]8=2+x_2[/tex] [tex]4=7+y_2[/tex]
Subtracting 2 on both
the sides Subtracting 7 on both the sides
[tex]8-2=2+x_2-2[/tex] [tex]4-7=7+y_2-7[/tex]
[tex]6=x_2[/tex] [tex]-3=y_2[/tex]
Rewritting the above equation Rewritting the equation
[tex]x_2=6[/tex] [tex]y_2=-3[/tex]
Therefore the coordinate of B[tex](x_2,y_2)[/tex] is (6,-3)Therefore the option B) is correct.Rodrigo added 2/3 and 4/9 using these steps. What is the sum in simplest terms?
1. Check for common denominators.
2/3 and 4/9
2. Write the sum 2/9 + 4/9
3.
Add the numerators. 2+4/9 = 6/9
There was a minor mistake in the second step. The sum should be 2/3 + 4/9, not 2/9 + 4/9. After finding the common denominator and converting the fractions, we add the numerators to get 10/9, which simplifies to 1 1/9.
Explanation:The process Rodrigo followed is correct, but there was a small mistake in the second step. Here, the problem should be 2/3 + 4/9, not 2/9 + 4/9. To add fractions like this, it's critical to ensure they have common denominators. The lowest common denominator (LCD) of 3 and 9 is 9.
So, the fraction 2/3 should be converted to its equivalent fraction with 9 as the denominator. Multiplying both the numerator and the denominator of 2/3 by 3, we get 6/9. So now our problem becomes 6/9 + 4/9.
Now, we can add them by combining their numerators: 6+4 = 10. So, the answer would be 10/9. But in simplest form, we would write this as 1 1/9. Hence, the sum of 2/3 and 4/9 in simplest terms is 1 1/9.
https://brainly.com/question/14503941
#SPJ12
Write and solve an equation to answer the question.
9 is what percent of 20?
=p⋅
9 is
% of 20.
To find what percent 9 is of 20, you divide 9 by 20 and multiply the result by 100. The answer is 45%.
Explanation:To determine what percent 9 is of 20, you'd set up an equation based on the mathematical definition of percentage:
p = (part/whole) * 100%
Here, our part is 9 and our whole is 20. So you arrange the numbers in the given formula:
p = (9/20) * 100%
Solving the equation gives us 45%
Therefore, 9 is 45% of 20.
Learn more about Percentage here:https://brainly.com/question/30697911
#SPJ12
To find out what percent 9 is of 20, we can use the formula part/whole = percent/100. Using this equation, we can solve for p and find that 9 is 45% of 20.
Explanation:To find out what percent 9 is of 20, we can set up an equation using the formula:
part/whole = percent/100
In this case, the part is 9, the whole is 20, and we want to find the percent. So the equation becomes:
9/20 = p/100
To solve for p, we can cross multiply:
9 * 100 = 20 * p
Dividing both sides of the equation by 20 gives us:
900 = 20p
Finally, dividing both sides by 20 gives us the value of p:
p = 900/20 = 45
Therefore, 9 is 45% of 20.
Learn more about Percentages here:https://brainly.com/question/29306119
#SPJ12
4. A video rental store rents movies at $3.95 for the first night, plus $1.25 for each additional night. When you return your movie, you pay $7.70. How many extra nights did you keep the movie?
Answer:
3 nights
Step-by-step explanation:
Set up an equation that represents the problem:
y = 1.25x + 3.95
Where y is the total cost and x is the number of additional nights you rent the movie
Substitute:
7.70 = 1.25x + 3.95
Subtract 3.95 on both sides:
7.70 = 1.25x + 3.95
-3.95 -3.95
3.75 = 1.25x
Divide by 1.25 on both sides:
3.75 = 1.25x
/1.25 /1.25
3 = x
Therefore, you kept the movie for 3 additional nights.
Answer:
3
Step-by-step explanation:
A company plans to ship 2,000 packages of chocolate. The company randomly selects 100 packages and finds that five packages have an incorrect weight.
Based on this data, how many packages out of the 2,000 should be predicted to have an incorrect weight?
Answer:
100
Step-by-step explanation:
1. 100 divided by 5 = 20
2. 20 x 100 = 2000
3. Final Answer = 100
A company plans to ship 2,000 packages of chocolate, the number of packages is X=100. This is further explained below.
How many packages out of the 2,000 should be predicted to have an incorrect weight?Generally, the number of packages is given as
X=(No Packages* incorrect weight)/ random selections
Therefore
X=2000*5/100
X=100
In conclusion, the number of packages predicted to have an incorrect weight is
X=100
Read more about Weight
https://brainly.com/question/11408596
#SPJ2
Find the equation of the line that is perpendicular to y = – 1 4 x – 8 and passes though the point (2, –4).
The equation of the line is [tex]y=\frac{1}{4}x-\frac{29}{7}[/tex]
Explanation:
The equation of the line is perpendicular to [tex]y=-14 x-8[/tex]
The equation is of the form [tex]y=mx+b[/tex] where m=-14
Slope:
The slope of the perpendicular line can be determined using the formula,
[tex]m_1 \cdot m_2=-1[/tex]
[tex]-14 \cdot m_2=-1[/tex]
[tex]m_2=\frac{1}{14}[/tex]
Thus, the slope of the line is [tex]m=\frac{1}{14}[/tex]
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
Substituting the slope [tex]m=\frac{1}{14}[/tex] and the point (2,-4), we get,
[tex]y+4=\frac{1}{14}(x-2)[/tex]
Simplifying, we get,
[tex]y+4=\frac{1}{14}x-\frac{1}{7}[/tex]
[tex]y=\frac{1}{14}x-\frac{1}{7}-4[/tex]
[tex]y=\frac{1}{4}x-\frac{29}{7}[/tex]
Thus, the equation of the line is [tex]y=\frac{1}{4}x-\frac{29}{7}[/tex]
A sandwich shop sells sandwiches with several different types of meat, several types of bread, and several different types of cheese. How many different combinations can be ordered at this shop?
A. 18
B. 27
C. 36
D. 48
Answer:A. 18
Step-by-step explanation:
Answer: C. 36
Step-by-step explanation:
3x3x4=36
Kyle is traveling to Destin over spring break. The total drive is 617 miles. If he travels at a speed of 70 miles per hour, which of the
following functions represents the number of remaining miles, M(x), he has to travel to reach his destination after x hours?
A. M(x)=70-617x
B. M(x)=547x
C. M(x)=617-70x
D. M(x)=70x
Answer:
D)M(x)=70x
Step-by-step explanation:
The function that represents the remaining distance after x hours is M(x) = 617 - 70x (option C).
The question asks about the function that represents the number of remaining miles, M(x), Kyle has to travel after x hours at a speed of 70 miles per hour. To calculate the remaining distance, we subtract the distance traveled (70 miles per hour times x hours) from the total distance of the trip, which is 617 miles. Therefore, the correct function is M(x) = 617 - 70x, which corresponds to option C.
To further illustrate this with an example, if Kyle drives for 1 hour at 70 miles per hour, he would have traveled 70 miles, so the remaining distance would be M(1) = 617 - 70(1) = 547 miles.
2. which quadrant is 7pi/4 radians in?
a. quadrant I
b. quadrant II
c. quadrant III
d. quadrant IV
Step-by-step explanation:
[tex] \frac{7\pi}{4} = 2\pi - \frac{\pi}{4} [/tex]
Therefore, Quadrant IV
option D
Chai started to run on a treadmill after setting its timer for 62 minutes. The display says that he has finished 53% of his run. How many minutes have gone by? Round your answer to the nearest tenth.
About 32.9 minutes have gone by.
To find this answer you take your percent and make it a decimal by dividing it by 100. In doing so, you'll get 0.53. Then multiply 0.53 by 62 to get 32.86. Since you have to round to the nearest tenth, you look at the hundredths place to see whether you round up (5-9) or round down (1-4). In this case, you round up making your answer 32.9 minutes.
I hope this helps!
Answer/Step-by-step explanation:
About 32.9 minutes have gone by.
To find this answer you take your percent and make it a decimal by dividing it by 100. In doing so, you'll get 0.53. Then multiply 0.53 by 62 to get 32.86. Since you have to round to the nearest tenth, you look at the hundredths place to see whether you round up (5-9) or round down (1-4). In this case, you round up making your answer 32.9 minutes.
I hope this helps!
Someone please help! I gave this extra points because the question has a picture. I will give thanks and 5 star for any answer.
Answer:
53°
Step-by-step explanation:
x + (2x + 21) = 180
(Corresponding angles &
Supplementary angles)
3x + 21 = 180
3x = 159
x = 53°
What is the equation for 15+d>10
Answer:
d > -5
Step-by-step explanation:
Step 1: Subtract 15 from both sides
15 + d > 10
15 + d - 15 > 10 - 15
d > -5
Answer: d > -5
∠A and \angle B∠B are supplementary angles. If m\angle A=(3x-17)^{\circ}∠A=(3x−17)
∘
and m\angle B=(2x-23)^{\circ}∠B=(2x−23)
∘
, then find the measure of \angle B∠B.
The measure of angle B is 65°
Explanation:
Given that ∠A and ∠B are supplementary angles.
The measures are ∠A = (3x - 17)° and ∠B = (2x-23)°
The value of x:
Since, supplementary angles add up to 180°, then we have,
[tex]\angle A+ \angle B=180^{\circ}[/tex]
Substituting the values, we have,
[tex]3x-17+2x-23=180[/tex]
[tex]5x-40=180[/tex]
[tex]5x=220[/tex]
[tex]x=44[/tex]
Thus, the value of x is 44
Measure of angle B:
Let us determine the measure of angle B by substituting the value of x in ∠B = (2x-23)°
Thus, we have,
[tex]\angle B=(2(44)-23)^{\circ}[/tex]
[tex]\angle B=(88-23)^{\circ}[/tex]
[tex]\angle B=65^{\circ}[/tex]
Thus, the measure of angle B is 65°
h(x) = 4x2 + 12x + 8
Answer:
x=-1
x=-2
Step-by-step explanation:
4x2 + 12x + 8
To solve a quadratic equation, factorisation Method, formulae method or completing the square method can be used. But for the purpose of this question, the formulae method will be used.
(-b±√(b²-4ac))2a
Where a=4, b=12 and c=8
(-12±√(12²-4(4)(8))/2(4)
(-12±√(144-128)/8
(-12±√16)/8
(-12±4)/8
(-12+4)/8 or (-12-4)/8
-8/8 or -16/8
-1 or -2
PLEASE HELP ME OUT AND ILL GIVE 5 STARS ASP!!
The value of 2^3 + 4^2=
Answer: 24
Step-by-step explanation:
2^3 + 4^2
(2×2×2) + (4×4)
8+16 = 24
What is
3x-y=9
2x-y=7
Answer:
x=2 and y= -3
Step-by-step explanation:
This is a simultaneous equation. To solve this type of equation, there are three methods; substitution, Elimination and Graphical.
But here, we would be using the substitution method.
3x-y=9 Equation 1
2x-y=7. Equation 2
Getting y from equation 2, we have
-y= 7-2x
Multiply both sides by -
y= 2x-7 Equation 3
Substituting y for 2x-7 in equation 1, we have
3x- (2x-7)=9
3x-2x+7=9
x+7=9
x=9-7
x=2
Substituting x as 2 in equation 3
y=2x-7
y= 2(2)-7
y= 4-7
y= -3
Reyna's house is 12 blocks due west of the school. Shaquille's house is 5 blocks due north of the school. Shaquille walks to Reyna's house every morning and then they walk to school together. What is the shortest distance Shaquille could walk on his way to school when he walks with Reyna?
Answer:
The shortest distance that Shaquille could walk on his way to school when he walks with Reyna is = 25 blocks.
Step-by-step explanation:
Reyna's house is 12 blocks due west of the school. Shaquille's house is 5 blocks due north of the school.
So, Reyna's house, the school, and the Shaquille's house form a right triangle and the shortest distance from Shaquille's house to Reyna's house is the hypotenuse of the right triangle.
So, the shortest distance that Shaquille could walk on his way to school when he walks with Reyna is = [tex]\sqrt{12^{2} + 5^{2}} + 12 = 13 + 12 = 25[/tex] blocks. (Answer)
The shortest distance that Shaquille could walk on his way to school when he walks with Reyna is 25 blocks.
Calculation of the shortest distance:Since Reyna's house is 12 blocks due west of the school. Shaquille's house is 5 blocks due north of the school.
So, here the shortest distance is
[tex]= \sqrt{(12)^2 + (5)^2}+ 12\\\\[/tex]
= 13 + 12
= 25
Hence, The shortest distance that Shaquille could walk on his way to school when he walks with Reyna is 25 blocks.
Learn more about distance here: https://brainly.com/question/16616666
Write 90.04 in word form
Answer:
Ninety and four one hundredths
Step-by-step explanation:
The word form of the number is Ninety and four hundredths.
We have,
To write 90.04 in word form, you can express it as "ninety and four hundredths."
Here's an explanation:
The whole number part, 90, is read as "ninety."
The decimal part, 0.04, is read as "four hundredths."
Combining these two parts, we say "ninety and four hundredths" to represent the decimal number 90.04 in word form.
Thus,
The word form of the number is Ninety and four hundredths.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Find the sum of a 10-term geometric sequence when the first term is 3 and the last term is 59049
A. 177147
B. 88572
C. 88575
D. 177144
8) At a carnival it costs $54.72 for 36 tickets. Write an equation that can be used to
express the relationship between the total cost (t) and the number of tickets(n) you
buy.
Let f left-parenthesis x right-parenthesis equals 2 x squared plus x minus 3 and g left-parenthesis x right-parenthesis equals x minus 1. Perform the indicated operation, then find the domain. left-parenthesis f minus g right-parenthesis left-parenthesis x right-parenthesis A. x squared minus 4; domain: positive real numbers B. 2 x squared minus 4; domain: all real numbers C. x squared minus 4; domain: all real numbers D. 2 x squared minus 2; domain: all real numbers
Answer:
The option D) is correct "2 x squared minus 2; domain: all real numbers "That is [tex](f-g)(x)=2x^2-2[/tex] and domain is all real numbersStep-by-step explanation:
Given that the functions f and g are defined by
[tex]f(x)=2x^2+x-3[/tex] and [tex]g(x)=x-1[/tex]
To perform the indicated operation (f-g)(x) and then find the domain :To find (f-g)(x)
(f-g)(x)=f(x)-g(x)Substitute the values of the functions we get
[tex](f-g)(x)=f(x)-g(x)=2x^2+x-3-(x-1)[/tex]
[tex]=2x^2+x-3-1(x)-1(-1)[/tex]
[tex]=2x^2+x-3-x+1[/tex]
[tex]=2x^2-2[/tex] ( by adding the like terms )
Therefore [tex](f-g)(x)=2x^2-2[/tex] and domain is all real numbersThe option D) is correct "2 x squared minus 2; domain: all real numbers "The value of (f-g)(x) is [tex]2x^2-2[/tex]. Thus, the correct option is (D)
Two different functions are given that are as follow:
[tex]f(x)=2x^2+x-3[/tex]
[tex]g(x)=x-1[/tex]
We need to determine the value of the composite function that is (f-g)(x).
Now, by using the property of the composite function (f-g)(x) can also be written as:
[tex](f-g)(x)=f(x)-g(x)[/tex]
Substitute the values of both the functions and solve it further for (f-g)(x).
[tex]\begin{aligned}(f-g)(x)&=(2x^2+x-3)-(x-1)\\&=2x^2+x-3-x+1\\&=2x^2-2\\&=2(x^2-1)\end{aligned}[/tex]
Thus, the value of (f-g)(x) is [tex]2x^2-2[/tex]. Thus, the correct option is (D)
To know more about it, please refer to the link:
https://brainly.com/question/5614233
Click on pictures help please
Miss C weight before she started her diet is 80 kg.
Solution:
Weight before diet = x
Weight loss percent = 8%
Present weight of Miss C = 73.6 kg
[tex]$ x-x\times \ 8 \% =73.6[/tex]
[tex]$ x-x\times \frac{8}{100} =73.6[/tex]
The denominators must be same to add/subtract the fractions.
LCM of 1 and 100 = 100
Multiply first term by [tex]\frac{100}{100}[/tex] and 73.6 by [tex]\frac{100}{100}[/tex] to make the denominator same.
[tex]$ \frac{100x}{100} - \frac{8x}{100} =\frac{7360}{100}[/tex]
[tex]$ \frac{100x-8x}{100} =\frac{7360}{100}[/tex]
Multiply by 100 on both sides, we get
100x - 8x = 7360
92x = 7360
Divide by 92 on both sides, we get
x = 80
Miss C weight before she started her diet is 80 kg.
can someone pls help me I’ll mark brainlist !! :)
Answer:
3/10
mark brainliest
Step-by-step explanation:
The degree measure of the sum of the interior angles of a convex polygon with n sides is 1800. What is the degree measure of the sum of the interior angles of a convex polygon with n + 2 sides?
A convex polygon with n + 2 sides has the sum of its interior angles equal to 2160 degrees, which is 360 degrees more than a polygon with n sides that has 1800 degrees.
The degree measure of the sum of the interior angles of a convex polygon with n sides, given as 1800 degrees, follows the formula (n - 2) times 180 degrees. For a convex polygon with n + 2 sides, we can apply the same formula: ((n + 2) - 2) times 180 = (n times 180) + (2 times 180).
Therefore, the degree measure of the sum of the interior angles of a convex polygon with n + 2 sides is 1800 degrees plus 360 degrees, giving us a total of 2160 degrees.
What is the equivalent fraction of 8/12
Answer:
There are many fractions that are equivalent to 8/12. But if you are looking for the most simplified fraction, then the answer would be 2/3. Because you divide 8 and 12 both by 2. 8 divided by 2 equals 4, and 12 divided by 2 equals 6. Then you would do it again, since both can be divided by 2 again. 4 divided by 2 equals 2, and 6 divided by 2 equals 3. You cannot divide 3 by 2, so your answer would be 2/3.
Hey can someone check this thanks ( will mark as brainliest however is first!!)
d ≤ 6
The solution set is {6, 5, 4, 3, 2, 1, 0, –1, –2, ....}
Solution:
Given expression is the inequality.
The inequality is [tex]\frac{d}{3}\leq 2[/tex].
To solve this inequality:
[tex]$\frac{d}{3}\leq 2[/tex]
Multiply by 3 on both sides of the inequality, we get
[tex]$\frac{d}{3}\times 3\leq 2 \times 3[/tex]
[tex]$d\leq 6[/tex]
That is the value of d is 6, 5, 4, 3, 2, 1, 0, –1, –2, ....
The solution set is {6, 5, 4, 3, 2, 1, 0, –1, –2, ....}
Hence d ≤ 6.