Answer:
x + y = 23 and y= 2 x + 5
Step-by-step explanation:
The number is 5 more than twice another so 2x + 5 = y
The two numbers have a sum of 23 so x + y = 23.
Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Point P partitions the directed segment from A to B into 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?
Answer:
Point Q is further from A than point P, therefore, they are not the same point
Step-by-step explanation:
The given information are;
Point P partitions the directed segment from A → B into the ratio of 1:3
Point Q partitions the directed segment from B → A into the ratio of 1:3
We note that the properties of a directed segment are that it has a length and direction with a defined starting or initial point.
Hence the two segments when arranged in the same direction are;
A B and B A
Hence point P is at a the point 1/(1 + 3) or 1/4 of AB or 1/4 times the length of AB from A
Point Q is at a the point 1/4 of B/A or 1/4 times the length of AB from B which is 3/4 times the length of AB from A
Therefore, point Q is further from A than point P which means they are not the same point.
Answer:
No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.
Step-by-step explanation:
Dymin had a lot of boxes ready for moving. She went out and
bought seven more boxes. A week later her little brother
destroyed half of them. There are now only 22 boxes left.
How many did she start with?
Answer:
37 boxes
Step-by-step explanation:
At first, Dymin had some boxes. Let x be the starting number of boxes.
Then, she bought 7 more boxes. Let y be the new number of boxes that she had.
y = x + 7
Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is
Number of boxes = y/2
The number of the boxes left is 22 boxes. Then, we can use the equation above.
Number of boxes = 22
y/2 = 22
Substitute y = x + 7 into the equation.
(x + 7)/2 = 22
x + 7 = 44
x = 44 - 7
x = 37
Thus, Dymin has 37 boxes at first.
PLZ HELP ME W DIS ASAP!!! MARKING BRAINIEST!!!
Answer:
x = ±11
Step-by-step explanation:
x^2 = 121
Take the square root of each side
sqrt(x^2) = ±sqrt(121)
x = ±11
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1 A
2 A
Step-by-step explanation:
1. steps can be positive whole numbers only
2. there is 15 steps
no jk drtyguhiytr5tyguhigyft fyguhijk
Answer:
1232
Step-by-step explanation:
13/91= 176/x
1/7=176/x
x= 176*7
x= 1232 bass
determine whether the system of linear equations has one solution, infinitely many solutions, or no solutions. Explain your reasoning. y=4x+6, 2y=8x+12
Answer:
Infinitely many solutions
Step-by-step explanation:
Since you already have y isolated in one equation, you can plug it in and use it in the other equation
2y = 8x + 12
2(4x + 6) = 8x + 12
8x + 12 = 8x + 12
Get the x's to one side
12 = 12
Meaning you have infinitely many solutions.
Try plugging in any x value you can think of and the left side will always equal the right side. so
x = 0 --> 8(0) + 12 = 8(0) + 12
12 =12
x = 1 --> 8(1) + 12 = 8(1) + 12
20 = 20
and so on.
I graphed it here for you and the 2 functions are on top of each other which means at every x value y = 4x + 6 is equal to 2y = 8x + 12
Is the figure a translation?
Answer: yes
Step-by-step explanation: A translation is a transformation that slides a figure to a new position.
So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.
So, this represents a translation.
three points of -x + 2y = 2
Answer:
y = 1 + x/2
x = -2 + y
Step-by-step explanation:
Theres no question here so i just solved for x and y.
Step-by-step explanation:
y=1x/2+1
Please answer correctly !!!!!!!! Will
Mark brainliest !!!!!!!!!!!
Answer: Z²+ 9Z + 8
Step-by-step explanation:
You take the two z's and times them to get Z² then you do the Z times 1 to get 1Z then you do the Z times 8 to get 8Z then you take the 8 times 1 and get 8 so then you add the like terms. You add 1Z and 8Z and you get 9Z. The you put it in standard form to get Z²+9Z+8
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
Solve the inequality.
Answer:
the first one, v < 1 23/25
Step-by-step explanation:
multiply both sides by 6 and divide by 5
v < 48/25, or v < 1 23/25
Answer:
v < 1 23/25
Step-by-step explanation:
5/6 v < 8/5
Multiply each side by 6/5
6/5*5/6 v < 8/5*6/5
v < 48/25
Rewrite as a mixed number
v < 1 23/25
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
[tex]y = \frac{5}{2} x^{2}[/tex]
Step-by-step explanation:
When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.
For example, say you have [tex]y = 8x^{2}[/tex]. That means that [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.
I hope this helps!
a 4cm by 6cm rectangle sits inside a circle with a radius of 11 cm what is the shaded region
Answer:
355.94 cm2
Step-by-step explanation:
if it is the area of the shaded part, you have to find the area of rectangle and the area of the circle, then subtract the rectangle's area from the circle's.
area of circle = 3.14( i used this π because the radius is not divisible by 7) × 11 × 11 = 379.94.
area of rectangle = 6 × 4 = 24cm
379.94 - 24.00 = 355.94cm2.
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation
Cluster- a group of points that close together
symmetry- data is balanced on opposite sides of a point or line
spread- how close or far apart the values are in a data set
center- the middle of a data set
gap- a space between data values
URGENT!!LAST 3 QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!
1. If a triangle has two angles that measure 57 and 94 degrees, what is the measure of the third angle?
A) 29°
B) 37°
C) 57°
D) 33°
FIND X ( FIRST IMAGE) A) 21.125 B) 7 C) 22.5 What is the measure of angle EGH? SECOND IMAGE A) 26° B) 102° C) 38°
Answer:
1. A
2. B
3. B
Step-by-step explanation:
1. 180+57-94= 29
2. 4x + 7 + 97 + 180 - 17x - 13 = 180
-13x = -91
x = 7
3. 180 - 64-38 = 78
180-78 =. 102
Answer:
A) 29°
B) 7°
B) 102°
Step-by-step explanation:
1. ------------------------
sum of angles= 180°missing angle= 180°-57°-94°= 29°2. ------------------------
4x+7°+97°=17x+13°13x=91°x=7°B) 7°3. ------------------------
EGH=GEH+EFGEGH=64°+38°=102°B) 102°The cube root of 24.
Answer:
2.88449914
Step-by-step explanation:
If f(x)=3x^2and g(x) =x+2 find (f •g)(x)
Answer:
3x^2+12x+12
Step-by-step explanation:
i think you just sub in x+2 into 3x^2
The development of technology _____________.
a. has no effect on the environment
b. depends on people’s needs
c. depends only on our imagination
d. depends on what is learned in school
Answer:
B
Step-by-step explanation:
solve for x
8x+1=-71
Answer:
-9
Step-by-step explanation:
8x + 1 = -71
8x = -72
x = -9
Answer:
x = -9.
Step-by-step explanation:
8x + 1 = -71 Subtract 1 from both sides:
8x + 1 - 1 = -71 - 1
8x = -72
x = -72/8
x = -9.
Simplify
4a x 6a^5
8a^2
It is a fraction
Answer:
[tex] = 3 {a}^{4} [/tex]
Step-by-step explanation:
[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 3a^4
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Anyone know the answer ASAP please
Answer:
x= -9/4 or -3
second one is x=5/6 or -8
Answer:
see explanation
Step-by-step explanation:
Given
4x² + 21x + 27 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 27 = 108 and sum = 21
The factors are 12 and 9
Use the factors to split the x- term
4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x + 9) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25
--------------------------------------------------------------------
Following the same method as the previous question
Given
6x² + 43x - 40 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 40 = - 240 and sum = + 43
The factors are + 48 and - 5, thus
6x² + 48x - 5x - 40 = 0
6x(x + 8) - 5(x + 8) = 0
(x + 8)(6x - 5) = 0
x + 8 = 0 ⇒ x = - 8
6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]
Salvador has saved 130 sand dollars and wants to give them away equally to n friends. How could you write this?
Answer:
[tex]\frac{130}{n}[/tex]
Step-by-step explanation:
Each friend would get [tex]\frac{130}{n}[/tex] sand dollars.
As they would get an equal proportion based on the population size.
You are considering a certain telephone company. They charge $0.17 per minute of talking, plus a fixed base monthly fee of $40 . If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C ?
Answer:
C = 40 + 0.17M
Step-by-step explanation:
Total monthly charge = Fixed base fee + charge per minute*total number of minutes
C = 40 + 0.17*M
C = 40 + 0.17M
what is the measure of B
Answer:
m<B = 44
Step-by-step explanation:
Since AB is a diameter, then angle C is a right angle.
That makes angles A and B complementary angles.
m<A + m<B = 90
46 + m<B = 90
m<B = 44
Answer:
B = 44
Step-by-step explanation:
The sum of the angles of a triangle is 180
A + B+ C = 180
<C = 90 since it is 1/2 of the intercepted arc which is 180
46+ B + 90 = 180
136 + B = 180
B = 180-136
B =44
UN RECOLECTOR COMPLETA CUATRO CAJAS DE CAFE CADA CAJA LE CAVE 25/2 DE KILOGRAMOS DE CAFE SI SE RECOJE DIARIAMENTE CUATRO CAJAS¿CUANTOS KILOGRAMOS DE CAFE RECOJE EN TOTAL?
Answer:
El recolector recoge un total diario de 50 kilogramos.
Step-by-step explanation:
(The following problem is written in Spanish and for such reason explanation will be held in the same language)
La masa total diaria recogida es igual al número de cajas recogidas por día y la capacidad de la caja. Entonces:
[tex]m = n \cdot m_{unit}[/tex]
[tex]m = (4\,cajas)\cdot \left(\frac{25}{2}\,\frac{kg}{caja} \right)[/tex]
[tex]m = 50\,kg[/tex]
El recolector recoge un total diario de 50 kilogramos.
not sure what this one is
Answer:
37
Step-by-step explanation:
If this is a regular hexagon, the sides have the same length
3y +19 = 6y+1
Subtract 3y from each side
3y+19-3y = 6y-3y+1
19 = 3y+1
Subtract 1 from each side
19-1 = 3y+1-1
18 = 3y
Divide each side by 3
18/3 = 3y/3
6 =y
ST = 6y+1
=6*6+1
=36+1
= 37
Answer:
37 units
Step-by-step explanation:
sides are equal
3y+19=6y+1
3y= 18
y= 6
3y+19= 3*6+19= 37
QR=ST= 37 units
Emilio practices the piano 20 minutes a day. To identify the total number of minutes he practices, he uses the function rule: y = 20x. Find f (8) A. 28 B. 40 C. 80 D. 160
Answer:
D. 160
Step-by-step explanation:
This question asks us to find f(8). Essentially, this asks us to find out what y is when x is equal to 8. In terms of this problem, how many minutes does he practice after 8 days.
We are given the equation:
y=20x
We want to find f(8). Therefore, we must substitute 8 in for x.
y=20(8)
Multiply 20 and 8
y=160
Therefore, f(8) is 160 and D is the correct answer. This means that after 8 days, Emilio practices for 160 minutes.
Answer:
160
Step-by-step explanation:
explain why 3 into 5 into 7 + 7 into 11 is a composite number
Answer:
As per BODMAS rule: 3 x 5 x 7 + 7 = 105 + 7 = 112. 112 is an even number and is therefore a composite number
Step-by-step explanation:
you need to do BODMAS so
3 x 5 x 7 = 105
then add 7 so there for 112
112 is an even number and therefore a composite number
the lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
The answer is B
I use an online graphing calculator called Desmos. You should check it out some time :)