Answer:
First we need to isolate x. To do this, we have to subtract 9
x = 12!
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
x+9-9=21-9
x=12
hope this helps !!
Find the equation of the line with slope =8 and passing through (3,21) write your equation in the form y=Mx+b
Answer: y = 8x -3
Step-by-step explanation:
we know the slope already which is 8.
so the equation is: y = 8x + b
subsutite the x and y to get the value of b
21 = 8(3) + b
21 = 24 + b
b = -3
So the equation is: y = 8x -3
The equation with the given condition is y=8x-3.
Given that, the slope of an equation (m)=8 which is passing through (3, 21).
We need to find an equation for the given condition.
What is slope intercept form?The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis). The equation of the line is the equation that is satisfied by each point that lies on that line.
Now, put m=8 and the coordinates (3, 21) in y=mx+b and simplify.
That is, 21=8×3+b
⇒21=24+b
⇒b=-3
So, the equation is y=8x-3
Therefore, the equation with the given condition is y=8x-3.
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Jonathan was riding his bike at 6 miles per hour and went 24 miles How long was Jonathan riding?
Which expression is equivalent to 12x - 20 - 5(x
Answer:
7x-5 combine like terms order off operations hope this helped
Step-by-step explanation:
Answer:
Step-by-step explanation:
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write 5/17 has a mixed number
Answer:
Since 5/17 is a proper fraction, it cannot be written as a mixed number.
Step-by-step explanation:
Cannot be written as a mixed number.
Two gym classes are participating in Field Day. One class has 24 students and the other has 27 students. The gym teachers want to divide the students in each class into the largest possible equal groups, with no students left over. If all the groups have the same number of students, how many students are in each group?
HELP
Answer:
one class 25 and the other 26
Step-by-step explanation:
That's because if there is 24 students in each class then 3 students will be left in which the other class will take two and the other 1 student
Answer:
Step-by-step explanation:
Class 1: 24 students
Class 2: 27 students
24+27=51
51 divided by 2 = 25.5
25.5 students are in each group
Write inequalities to represent the situations below.
Ryan exercises no less than 35 minutes per day. Use t to represent Ryan's amount of exercise (in minutes per day).
( ≤ < > ≥ )
Answer:
T<45
Step-by-step explanation:
More than is a greater than symbol
Inequalities help us to compare two unequal expressions. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given Ryan exercises no less than 35 minutes per day. The inequality that can be used to represent the time for which Ryan exercise is t≥35.
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help me plz due today
Answer:
4x , 2y , 5
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
The terms are
4x, 2y, 5
Hope that helps
What is the prime factorization of 18?
A. 18 = 6 x 3
B. 18 = 2 x 3 x 3
C. 18 = 2 x 2 x 3
D. 18 = 2 x 9
Please help! Marking brainliest if correct.
Answer:
110 degrees
Step-by-step explanation:
Because these angles are vertical, 5x+15=8x-42. thus, 15=3x-42, 3x=57, and x=19. 5x+15=5(19) +15=110. So, m<CDE=110 degrees.
Answer:
110°
Step-by-step explanation:
Since CDE and FDG are vertical, they are congruent, so:
5x + 15 = 8x - 42
Solve the equation for x
57 = 3x
19 = x
Then solve for one of the angles (I chose CDE but FDG would also work)
5(19)+15
95 + 15
110
The salaries of 4 players on a professional basketball team average $200,000 per year. If a fifth player is hired for $400,000 per year, what will be the average salary for the 5 players? Answer with supporting work:
If salary average of 4 players is making $200,000/yr, what's the total payroll? It should be $200K x 4 or $800,000.
Now if you add in that 5th player at $400,000 what is the total payroll of all 5 players? It should be $800,000 + $400,000 = 1,200,000. From there you can find the average of the 5 players by dividing!
Solve X³=64. im trying to finsh my class
Answer:
C
Step-by-step explanation:
multiply the number 3 times
A 1536
B 512
C 64!!!D Dum answer choice
Answer:
x = 4
Step-by-step explanation:
We have the equation x^3 = 64 and are asked to solve for x.
To solve, we need to isolate x.
x^3 = 64
Cube root both sides by 3 to get x alone :
[tex](x^3)^3 = \sqrt[3]{64}[/tex]
[tex]x = \sqrt[3]{64}[/tex]
Solve for the cube root of 64 :
[tex]\sqrt[3]{64} = 4[/tex]
[tex]x = 4[/tex]
Example 1
(a) Consider the pulse rates of two patients in a hospital for ten different days:
Patient A: 17 16 70 69 70
75 78 70 71
69
Patient B: 59
92
60
80 71
65
50
88
95 70
Find the mean pulse rate for each patient and the corresponding range.
Answer:
1a. Mean pulse rate for A = 60.5
1b. Range for A = 62
2a. Mean pulse rate for B = 73
2b. Range for B = 45
Step-by-step explanation:
1a. Determination of the mean pulse for patient A.
Data => 17, 16, 70, 69, 70, 75, 78, 70, 71, 69
Mean =?
The mean pulse rate for patient A can be obtained as follow:
Summation of data = 17 + 16 + 70 + 69 + 70 + 75 + 78 + 70 + 71 + 69
Summation of data = 605
Number of data = 10
Mean = summation of data / number of data
Mean = 605 / 10
Mean pulse rate for A = 60.5
1b. Determination of the range for patient A
Data => 17, 16, 70, 69, 70, 75, 78, 70, 71, 69
Range =?
Range = Highest – Lowest
Highest = 78
Lowest = 16
Range = Highest – Lowest
Range = 78 – 16
Range for A = 62
2a. Determination of the mean pulse for patient A.
Data => 59, 92, 60, 80, 71, 65, 50, 88, 95, 70
Mean =?
The mean pulse rate for patient B can be obtained as follow:
Summation of data = 59 + 92 + 60 + 80 + 71 + 65 + 50 + 88 + 95 + 70
Summation of data = 730
Number of data = 10
Mean = summation of data / number of data
Mean = 730 / 10
Mean pulse rate for B = 73
2b. Determination of the mean pulse for patient B.
Data => 59, 92, 60, 80, 71, 65, 50, 88, 95, 70
Range =?
Range = Highest – Lowest
Highest = 95
Lowest = 50
Range = Highest – Lowest
Range = 95 – 50
Range for B = 45
Natalie bought a three pack of erasers $1.47. At the same rate how much would a 10 pack of erasers cost?
Answer:
The price for a 10 pack of erasers would cost $4.09
Step-by-step explanation:
1.47 ÷ 3 = 0.49
0.49 × 10 = 4.9
Answer:
$4.9
Step-by-step explanation:
[ Unitary method]
3 pack of erasers = $1.47
1 pack = $1.47 / 3 = $ 0.49
10 pack = $ 0.49 x 10 = $4.9
(I hope im right!)
If 4a-3 = 2a then 12a=?
Answer:
18
Step-by-step explanation:
4a-3=2a
2a=3
a=1.5
12a=1.5*12
12a=18
HELP ASAP WILL MARK BRAINLIEST
Estimate the difference by rounding each mixed number to the nearest half or whole number.
6 9/10 - 2 2/9
Answer:
4 1/2
Step-by-step explanation:
exact
6 9/10=6 81/90
2 2/9=2 20/90
6 81/90-2 20/90=4 61/90
rounds to 4 1/2
The diagram shows a right-angled triangle.
hcm
7 cm
38°
What is the value of h?
Give your answer correct to 1 decimal place.
The measure of value of h from the trigonometric relations is h = 11.4 cm
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the value of sides of the right triangle ABC is
AB = 7 cm
AC = h cm
The angle ∠ACB = 38°
Now , from the trigonometric relations , we know
sin θ = opposite / hypotenuse
Substituting the values in the equation , we get
sin θ = 7 / h
sin 38° = 7 / h
Multiply by h on both sides of the equation , we get
h ( sin 38° ) = 7
Divide by sin 38° on both sides , we get
h = 7 / sin 38°
Substitute the value of sin 38° = 0.6157
h = 7 / 0.6157
h = 11.369 cm
Rounding the value to 1 decimal place , we get
The value of h = 11.4 cm
Hence , The measure of value of h is h = 11.4 cm
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PLEASE ANSWER THIS, LIKE ITS REALLY EASY I BEG. IM JUST HORRIBLE AT MATHS AND ILL GOVE BRAINLEST.
Answer:
(0,-2)
Step-by-step explanation:
Answer:
(0,-2)
Step-by-step explanation:
I hope im right!!
what is the other angel? help
Answer:
59.7 degrees
Step-by-step explanation:
see attached
(5⁴)²??????
A:5⁶
B:5⁸
C:20²
D:25⁸
Answer:c 20
Step-by-step explanation:
2x-7y=14
Solve for x
The ratio of boys to girls Ms. Garcia’s class is 4:5.
a. If there are 12 boys in the class, how many girls are there?
Answer:
15 girls
4x3=12 so u multiply 3 on both sides and 5 x 3=15
If the projections of vector à on x, y and z axis are 2,1,2 units respectively, find the angle at which vector à is inclined to the z-axis
Express 9 as a ratio of 27
Answer:
9/27 or 9 to 27
Step-by-step explanation:
A triangular pyramid has a right triangle for its base. The perpendicular sides of the triangle are 10 inches and 18 inches long. Compute the volume of the triangular pyramid if the height is 14 inches.
A. 252 in 3
B. 420 in 3
C. 2520 in 3
D. 1260 in 3
Answer:
90 cubic inches
Step-by-step explanation:
The formula for a triangular pyramid is 1/3AH. A is the area of the base. H is the height of the pyramid. So to find the area of a right triangle, you would use the formula (a x b)/2. So (10 x18)/2 is 90 inches^2. Now you can fill in the first formula. 1/3(90 x 14), which equals 420 inches^3.
V = 1/3 · area of base · height
V = 1/3 · 18 · 15
V = 6 · 15
V = 90
I hope you find this helpful (if correct.)
Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between _____ and _____ .
Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
[tex]\sigma[/tex] = $40
Number of commuters,
n = 100
Now,
⇒ [tex]SE=\frac{\sigma}{\sqrt{n} }[/tex]
On putting the given values, we get
⇒ [tex]=\frac{40}{\sqrt{100} }[/tex]
⇒ [tex]=\frac{40}{10}[/tex]
⇒ [tex]=4[/tex]
By using the 2 SE rule of thumb, we get
= [tex]$(167 - 2\times 4)[/tex]
= [tex]167-8[/tex]
= [tex]159[/tex] ($)
Or,
= [tex](167 + 2\times 4)[/tex]
= [tex]167+8[/tex]
= [tex]175[/tex] ($)
i.e,
$159 and $175
Write an equation of the line that passes through point P and is parallel to the line with the given equation. P(3,5); y=2x-6
Answer:
y = -(5/2)x + 3 is a line perpendicular to y = (2/5)x + 2. This line is also perpendicular to y = (2/5)x + 9 because it has the same slope.
Step-by-step explanation:
A) So the line you are given is written in slope intercept form y = mx + b meaning that the slope of the line is m = 2/5 and the intercept b = 9 (so the line hits the y axis at 0,9). A line that is parallel has to have the same slope so we know our m is the same. So we have y = (2/5)x + b. We need b. It passes (0, 2) since the x coordinate is 0 you know the y intercept is 2 but you can verify this using the point slope formula:
y - y1 = m(x - x1) plug in values
y - 2 = (2/5)(x - 0) now simplify
y - 2 = (2.5)x last solve
y = (2/5)x + 2 see how when the x coordinate is 0 you can automatically use the point slope intercept formula? Neato!
B) Now we want a line perpendicular to y = (2/5)x + 2 and that passes through 0,3. What are the properties of a line perpendicular to a line of the form y = mx + b and passes through (0, 3)? We know that the slope of this new line will be the reciprocal and have the opposite sign of m. So the new slope we will call it mnew = -(1/m) so plug in for m and you get mnew = -(1/[2/5]) if you simplify you get that the mnew = -(5/2). So we have half of our equation for the perpendicular: y = -(5/2)x + b. If you look at (0, 3) you see that the y intercept is 3 so b = 3. So:
The equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, we need to find the equation of a line passing through the point (3, 5) and is parallel to y = 2x-6,
Comparing the given equation with the general equation of line y = mx+c
m = 2 (the slope)
We know that the two parallel lines have equal slope.
Therefore, the required equation is =
y = 2x+c
To find the value of c, put x = 3 and y = 5,
5 = 2(3) + c
c = -1
Therefore,
The required equation is =
y = 2x-1
Hence, the equation of the line that passes through given point and is parallel to the line with the given is y = 2x-1
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help please “SHOW YOUR WORK!”
Answer:
384π cm³ ≈ 1206.37 cm³
Step-by-step explanation:
Insert the values the problem gives to us.
V = π(12)²(8)/3
⇒ π(144)(8)/3
⇒ 384π ≈ 1206.37
Scrieți multipli lui 7 mai mari decât 10 și mai mici decât 20
The answer is here:
7 . 2 = 14, 10 >14 > 507 . 3 = 21, 10 > 21 > 50
7 . 4 = 28, 10 > 28 > 50
7 . 5 = 35, 10 > 35 > 50
7 . 6 = 42, 10 > 42 > 50
Hope This Helps! Have A GREAT Day!
Rahul visited Taj Mahal. He found that the fountains near
the entry gate are sprinkling in circles. If the area covered
by the sprinkler of two circles is in the ratio 25:36. Find the
ratio of their circumference.
Answer:
5:6.
Step-by-step explanation:
The areas are 2 dimensional and the circumference is one dimensional.
So the ratio of the circumferences is √25:√36
= 5:6.
Keith has a package of 75 marbles.He gave an equal number of marbles to each of his 8 friends. How many marbles will be left over?
Answer:
9
Step-by-step explanation:
The number of marble left if Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends, is 3.
What is division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.
When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.
Given:
Keith has a package of 75 marbles, He gave an equal number of marbles to each of his 8 friends,
Calculate the number of marble left as shown below,
The number of marble left = Reminder of (total number of marble / 8)
The number of marble left = Reminder of(75 / 8)
The number of marble left = 3
Thus, the number of marble left is 3.
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