Which ordered pair (p, r) is the solution to the given system of linear equations?
(5p - 3r = 1
8p + 6r= 4
Answer:
[tex](\frac{1}{3};\frac{2}{9})[/tex]
Step-by-step explanation:
[tex]\left \{ {{10p-6r=2} \atop {8p+6r=4}} \right. \ \left \{ {{18p=6} \atop {8p+6r=4}} \right. \ \left \{ {{p=\frac{1}{3} } \atop {r=\frac{2}{9} }} \right.[/tex]
Answer:
Its D
Step-by-step explanation:
Edge 2021
please answer thank you
Answer:
1536 m²
Step-by-step explanation:
To find the area of the lateral faces, calculate the height of a lateral face first.
The height of a lateral face = S
The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.
[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]
[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]
[tex] = \sqrt{400} [/tex]
= 20 m
Total surface area of a pyramid
= total surface area of lateral faces + base area
Area of 1 lateral face
= (base × height) ÷ 2
= (24×20)÷2
= 240 m²
Total surface area of the pyramid
= 240×4 + 24×24
= 1536 m²
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
7
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
7
Step-by-step explanation:
The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
The variable x represents the number of
Answer:
the answer is 25 round tables and you will need 18.75 square tables
Step-by-step explanation:
IT is right trust me
Answer: The variable x represents the number of
✔ square tables
.
The variable y represents the number of
✔ round tables
.
If y = 9, find the value of x. The committee needs
✔ 12
square tables. explanation:
SOLVE EQUATION BY TAKING SQAURE ROOTS.
64m^2 -5 = 76
Answer:
m=9/8
Step-by-step explanation:
64m^2 -5=76
64m^2 =76+5
64m^2=81
m^2=81/64
m=[tex]\sqrt{81/64}[/tex]
m=9/8
Step-by-step explanation:
64m²-5=76
64m²-5+5=76+5
64m²=81
m²=64/81
m=
[tex] \sqrt{64/81} [/tex]
m=8/9
For numbers 6-10, how long does it take to travel:
11. A car travels 200 kilometers in 8 hours. Calculate the average speed of the car in:
a. Kilometer per hour
b. Kilometers per minute
This question have no choices specify your answers only
Answer:
A
Step-by-step explanation:
You divide distance over time so 200 divided by 8.
A school is tracking its freshmen attendance for the first marking period. Shown below is a table summarizing the findings for the 284 members of the freshmen class.
(a) Find the mean and median number of days absent Round your mean to the nearest tenth
(b) What proportion of the population that has an absenteeism greater than 4 days?
Answer:
The median number of days absent is zero (0)
The mean number of days absent is 1.0 day
(b) The proportion of the population that has absenteeism greater than 4 days is 6.34 %
Step-by-step explanation:
total number of students, n = 284
The total number of students is even, the median number of days absent will in (n/2).
n/2 = 284/2 = 142
The cumulative frequency that falls in 148 students = 0 day
The median number of days absent is zero (0)
For mean:
Let the days absent = x
let the number of students = f
[tex]mean (\bar x) = \frac{\sum fx}{\sum f}\\\\\bar x = \frac{(158\times 0)+ (64\times 1)+(18\times 2)+(22\times 3)+(4\times 4)+(5\times 7)+(6\times 8)+(9\times 2)+(13\times 1)}{284} \\\\\bar x = \frac{296}{284} \\\\\bar x = 1.0 \ day[/tex]
(b) the number of students with absenteeism greater than 4 dyas;
= 7 + 8 + 2 + 1
= 18
The proportion of these students;
[tex]= \frac{18}{284} \\\\= 0.0634 \\\\= 6.34 \ \%[/tex]
Using statistical concepts, it is found that:
a) The mean number of days absent is of 1, while the median is of 0.b) 0.0634 = 6.34% of the population has an absenteeism greater than 4 days.Mean and Median:The mean is given the sum of the multiplication of each value and it's number of observations, divided by the number of observations.The median is the number of days absent for which the sum of the number of students will be half of the total number, that is, half of 284, which is 142.Question a:
Then, the mean is:
[tex]M = \frac{0(158) + 1(64) + 2(18) + 3(22) + 4(4) + 5(7) + 6(8) + 9(2) + 13(1)}{284} = 1[/tex]
158 > 142, hence, the median is 0.
Question b:
In the sample, there are 284 students.Of those, 7 + 8 + 2 + 1 = 18 were absent four more than 4 days, hence:[tex]p = \frac{18}{284} = 0.0634[/tex]
0.0634 = 6.34% of the population has an absenteeism greater than 4 days.
To learn more about mean and median, you can take a look at https://brainly.com/question/24732674
Surface Area of a Triangular Pyramid, please help!
Answer:
surface area of the triangular pyramid
=(1/2×9×7.8)+(3×1/2×9×12.3)
=35.1+166.05
=201.15 inch²
anyone can help with this ?
Answer:
The first one : x^2 - 8x + 15 sq ft
Step-by-step explanation:
To find the ares you need to multipy L and W : (x - 3) x ( x - 5)
(x - 3) x ( x - 5)
(x times x) - ( 3x + 5x) + ( 5 x 3)
=x^2 - 8x + 15
If this helps you, please give brainliest!
Answer:
(x-3)(x-5)=x^2-5x-3x+15=x^2-8x+15
Step-by-step explanation:
Because the patio is a rectangle, so it's area is I.w=(x-3)(x-5)
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?
How many $10 coins does he have?
How many $20 coins does he have?
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.
Which is an equivalent equation solved for t?
Answer:
(f-v)/a = t
Step-by-step explanation:
f = v + at
Subtract v from each side
f-v = v-v + at
f-v = at
Divide each side by a
(f-v)/a = at/a
(f-v)/a = t
Answer:
f - v = a
t
Step-by-step explanation:
Equation:
f = v + at
subtract -v on both sides
f - v = at
divide t on both sides of the equation
f - v = a
t
nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.
Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.
Step-by-step explanation:
help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards
Answer:
A. 15.5 yards
Step-by-step explanation:
3.1 ×5=15.5
please help me please i really need help please
Step-by-step explanation:
right answer
...... y= 1/2x²
A newborn weighs 7 lb and 13 oz. How many grams (g) does he weigh?
Answer:
69
Step-by-step explanation:
What is the result of subtracting the second equation from the first
I didn’t undertand the question... mayb ur attachment isnt added! Plz check!
evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1
Answer:
the answer is 12
Step-by-step explanation:
7x-2y-1. x=3. y=4
7×3-2×4-1
=21-8-1
=12
what is a midsegment of a triangle?
Answer:
A midsegment of a triangle is a segment that connects the midpoints of two sides of a triangle
Rebecca walks nine dogs each week she gets paid $10 a week +2 for each dog she walks which expression can be used to find how much is Rebecca gets paid in one week
Answer:
F(x)= 2x + 10
Step-by-step explanation:
F(×) represent the total amount she will get that week.
The 2 represents her dog bonus, x how many dogs she walked.
10 is the bare minimum she makes each week and it never changes.
Solve for x. A. x = 12 B. x = 4 C. x = 3 D. x = 1
Answer:
4=x
Step-by-step explanation:
1/5( 2x+92) = 5x
Multiply each side by 5
5*1/5( 2x+92) = 5x*5
( 2x+92) = 25x
Subtract 2x from each side
2x+92-2x = 25x-2x
92 = 23x
Divide by 23
92/23 = 23x/23
4=x
Answer:
x = 4
Step-by-step explanation:
1/5 ( 2x + 92 ) = 5x
[tex] \small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\ [/tex]
distribute 1/5 through the parantheses
[tex] \small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\ [/tex]
multiply both side of equation by 5
[tex] \small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\ [/tex]
2x + 92 = 25xMove all variables to the left hand side and change their sign
2x + 92 - 25x = 0combine like terms
2x - 25x + 92 = 0calculate
-23x + 92 = 0Move all the constant to the right side and change their sign
-23 x = - 92divide both side by -23x
-23x / -23 = -92/-23x = 4Rick used 4 2/3 yards of fabric to sew 3 1/2 shirts. What is the unit rate of cloth he used in terms of yards per shirt?
Given m||n find the value of x.
Answer:
x =17
Step-by-step explanation:
The angles are supplementary so they add to 180
6x-20 + 6x - 4 = 180
12x -24 = 180
Add 24 to each side
12x-24+24 = 180+24
12x = 204
Divide by 12
12x/12 =204/12
x = 17
Pls help school almost over I need to pass
Answer:
B.
Step-by-step explanation:
6.4 times 10 to the 3rd power (6.4 times 10x10x10) is equal to 6400, therefor, B is the correct answer.
Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9 Given that m represents an integer, is 6m(3m + 21) divisible by 9?
Answer:
[tex](a)\ 6m(3m + 21) = 9(2m^2 + 14m)[/tex]
(b) Yes, it is divisible by 9
Step-by-step explanation:
Given
[tex]6m(3m + 21)[/tex]
Solving (a): Complete the blanks
[tex]6m(3m + 21) = 9 [\ ][/tex]
Expand the bracket
[tex]6m(3[m + 7]) = 9 [\ ][/tex]
[tex]6m*3(m + 7) = 9 [\ ][/tex]
Express 6m as 2m * 3
[tex]2m*3*3(m + 7) = 9 [\ ][/tex]
[tex]2m*9(m + 7) = 9 [\ ][/tex]
Rewrite as:
[tex]9 * 2m(m + 7) = 9 [\ ][/tex]
Multiply the bracket by 2m
[tex]9 * (2m^2 + 14m) = 9 [\ ][/tex]
Divide both sides by 9
[tex]2m^2 + 14m = [\ ][/tex]
Hence, the bracket will be filled with: [tex]2m^2 + 14m[/tex]
So:
[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]
Solving (b): Is [tex]6m(3m + 21)[/tex] divisible by 9?
In (a), we have:
[tex]6m(3m + 21) = 9(2m^2 + 14m)[/tex]
The leading factor "9" implies that the expression is divisible by 9
Which statement about y= x2 – 3x – 40 is true? O A. The zeros are 5 and -8, because y = (x - 5)(x+ 8). B. The zeros are 5 and -8, because y= (x + 5)(x-8). C. The zeros are -5 and 8, because y = (x - 5)(x+ 8). O D. The zeros are - 5 and 8, because y = (x + 5)(x-8).
Answer:
C
Step-by-step explanation:
A p e x
Answer:
the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)
Step-by-step explanation:
i just took the test
3. What is the value of LC in the diagram?
A
4x
(2x
B
3x
С
O A. 90°
O B. 60°
O C. 80°
OD. 40°
Answer: B
Step-by-step explanation:
4x+3x+2x=180
9x = 180
x = 20
20x3 = 60
For the given function, find the vertical and horizontal asymptote(s) (if there are any).
f(x) = (x-5)/(x^2-1)
Answer:
See below for answers and explanations (as well as a graph attached)
Step-by-step explanation:
The function [tex]f(x)=\frac{x-5}{x^2-1}[/tex] can be written as [tex]\frac{x-5}{(x+1)(x-1)}[/tex], showing that there are 2 vertical asymptotes, which are at [tex]x=-1[/tex] and [tex]x=1[/tex] as they both make the denominator equal to 0.
Additionally, there would be a horizontal asymptote at [tex]y=0[/tex] since the degree of the numerator is less than the degree of the denominator.
See the attached graph.
pls help on number 6!!
Answer:
729 cubic feet
Step-by-step explanation:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:
[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]
[tex]\text{Required probability}=\dfrac{5}{8}[/tex]
Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].
Given m|n, find the value of x.
Answer:
x=150
Step-by-step explanation:
x+30=180[co-interior angle]
x=180-30
x=150