Factor the expression
27 - 9x + 15y
Answer:
-3(3x-5y-9)
Step-by-step explanation:
.Any number that has 9 as a factor also
has 3 as a factor. Why is this
Answer:
9 is divisable by 3.
A number that has 9 as a factor can be divided by 9 so it can also be divided by 3.
all you need is in the photo please
Answer:
i don't know how to answer
Step-by-step explanation:
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
The basketball game sold 439 adult tickets and 858 student tickets.
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values of the unknowns, with which when replacing, they must give the solution proposed in both equations.
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047 was collected on the sale of 1,291 tickets.
With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:
[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]
Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:
y=1291 -x
and you replace in the second equation:
5*x + 1291 - x= 3047
Solving, you get:
5*x-x= 3047 - 1291
4*x= 1756
x= 1756÷4
x=439
Replacing this value in the expresion y=1291 -x you get:
y=1291 -439
y= 858
The basketball game sold 439 adult tickets and 858 student tickets.
Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.
Answer:
x=1.15
y=2.12
Step-by-step explanation:
look at the picture ..........
The space probe Voyager I travels 3.255 x 108 miles in a year.
At this rate, how far does the Voyager I travel during a period of 40 years?
The Voyager I travel 130.2 x [tex]10^8[/tex] miles during a period of 40 years.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
The space probe Voyager I travels 3.255 x [tex]10^8[/tex] miles in a year.
So, in 40 years Voyager I travel
= 3.255 x [tex]10^8[/tex] x 40
= 130.2 x [tex]10^8[/tex] miles.
Thus, the Voyager I travel 130.2 x [tex]10^8[/tex] miles.
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A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?
Answer:
[tex]4 < x < 38[/tex]
Step-by-step explanation:
[tex]21 - 17 = 4[/tex]
[tex]21 + 17 = 38[/tex]
The range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
A triangle has side lengths of 21 cm and 17 cm
side 1 = 21 cm
side 2 = 17 cm
What is the relation between side of triangle?
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore,
length of side 3
[tex]21-17 < side 3 < 21+17[/tex]
[tex]4 < side 3 < 38[/tex]
Therefore the range of 3rd side is in between 4 to 38.
[tex]4 < side 3 < 38[/tex]
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How do I figure this out?
Answer:
0.75 : 1
Step-by-step explanation:
Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.
Answer:
width = 5 ft
length = 9 ft
Step-by-step explanation:
Here, we want to get the length and width of the garden
length is 1 ft less than twice the width
if width = w
length = 2w-1
The product of the two is 45
so, we have it that;
w(2w-1) = 45
2w^2 - w = 45
2w^2 - w -45 = 0
2w^2 - 10w + 9w -45 = 0
2w(w-5) + 9(w-5) = 0
(2w + 9)(w-5) = 0
2w + 9 = 0
or w -5 = 0
w = 5 or-9/2
w cannot be negative, so we = 5
l = 2(5) -1 = 10 - 1 = 9 ft
yo does anyone know how to solve this
(-7, 0)
i promise im right
An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?
Answer:
695 km and hour
Step-by-step explanation:
70 of the rooms in a hotel are full if the hotel is 87.5% full then how many total rooms are there at this hotel
Answer:
80 rooms
Step-by-step explanation:
Given: 70 of the rooms in a hotel are full such that the hotel is 87.5% full.
To find: total number of rooms in the hotel
Solution:
Number of filled rooms [tex]=70[/tex]
Percentage if filled rooms [tex]=87.5\%[/tex]
Let [tex]x[/tex] denotes total number of rooms.
Therefore,
[tex]\frac{87.5}{100}x=70\\\\x= 70(\frac{100}{87.5} )\\\\x=80[/tex]
So, there are [tex]80[/tex] rooms in the hotel.
What is the slope of the line passing through the points (3,5) and (-1,7)?
-1/2
To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)
Substitute the values given for the xs and ys:
(7-5)/(-1-3)
2/(-4)
simplify: -1/2
Please help I really need it I will be giveing 15 points to whoever can help me
Answer:
the slope is: -1/2
y-intercept: (0,-f)
hopefully that makes sense
Use the distributive property to write an equivalent expression.
6(6f + 10g - 6)
Answer:
36f + 60g -36
Step-by-step explanation:
Multiply each term within the parentheses by 6
One week, seventy-two percent of the animals that came to a veterinary hospital were dogs. If there were 125 dogs that came in, how many total animals were seen?
Answer:
There is a total of 174 animals
Step-by-step explanation:
I tried my hardest but I'm very small brain
Fill in the blanks
slope m = _____
y intercept = ______
equation = _____
Hint: y = mx + b
Answer: y = 4
Step-by-step explanation:
Slope m = 0
y intercept = 4
equation = y = 0x + 4 or just y = 4
Answer:
m= 0
y intercept= 4
Equation= Y=0x+4
Step-by-step explanation:
True and false math question
Answer:
I'm thinking it's false
Step-by-step explanation:
however, I would wait for another's opinion as well
Answer:
false
Step-by-step explanation:
just my opinion but if you think I'm wrong it's okay
Q1. What is the ratio of 4 weeks 3 days to 6 weeks.
Q2. What is the ratio of 3 dozen eggs to 8 eggs.
Q3. How far can a bus travel in 8 litres of diesel if it can travel 144 km in 6 litres of diesel
Answer in all steps and answer quick gotta help somebody.
Answer:
Q1: 28 : 3
Q2: 36 : 3
Step-by-step explanation:
Q1 EXPLANATION:
theirs 7 days in a week and theirs four weeks
4 x 7 = 28, theirs 3 days
28 : 3
Q2 EXPLANATION:
Theirs 12 in a dozen and theirs 3 dozens
3 x 12 = 36, theirs 3 eggs
36 : 3
Q3 EXPLANATION:
8 litres is 144 km
divide both by 4
2 litres is 36 km
then times both by 3
6 litres is 108 km
Help me answer this math question
The equation representing the total number of students in the class: b+g=36
The equation representing the total number of boys in the class: b=2g-3
Sentence representing solution: The number of boys in the class is 13 and the number of girls in the class is 26
calculate the mean
20,15,19,16,10
Answer:
16
Step-by-step explanation:
add all the numbers together and divide by amount of present numbers
Answer:
16
Step-by-step explanation:
20+15+19+16+10= 80
80 divided by 5 is 16
to find the mean you add all of the numbers up and then divide the sum by the number of numbers there are hope this helps have a good rest of your night :) ❤
If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
Mel cleans houses. She earns $7.50 every hour she dusts. She earns $10.00 every hour that
she scrubs floors. She scrubbed floors for 1.5 hours and dusted for 2 hours. How much money
did Mel earn?
x+y=5
3x-y=-5
is it no solutions, all solutions, or one solution?
please show your work.
Answer:
One solution
Step-by-step explanation:
x+y=5
3x-y=-5
Add the equations together will get you:
4x=0
Divide the 0 by 4 to get the x alone will get you
x=0
Answer:
There's one solution
(0,5)
Step-by-step explanation:
There's one solution
We can tell this is true because of the 3x in the second on and just hte x in the first. If you look closely you'll see the coefficents for the x values is the only difference between the two.
Let's now solve
We need to get a positive variable by itself
let's take x+y=5 and solve for y
x-5= -y
y= -x+5
We can then plug this y value into the other equation
3x-(-x+5)= -5
3x+x-5= -5
4x= 0
x=0
Let's then plug this value in for x into any of the beginning equations
0+y=5
y=5
NEED ANSWER ASAP! ON A TIMED TEST!
Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.
Using the special properties of this figure, determine m
Answer:
21°
Step-by-step explanation:
<DCB = 3x + 8°
< DAB = 5x + 4°
Now
<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }
3x + 8° + 5x + 4° = 180°
8x + 12° = 180°
8x = 180° - 12°
8x = 168°
x = 168° / 8
Therefore x = 21°
Hope it will help :)
What’s 2/10 closest to 0,1/2 or 1
Answer:
0
Step-by-step explanation:
2/10 is 2/10 away from 0, 2/10 is 3/10 away from 1/2, and 2/10 is 8/10 away from 1
Bill makes a conjecture that the sum of an odd integer and itself is always an even
integer. Which choice is the best proof of his conjecture?
Answer:
Step-by-step explanation:
Combine like terms.
9y2 + 9(7y2-5) =
I need this for now please
Answer:
72y2-45
Step-by-step explanation:
9y2 + 9(7y2 - 5)
you multiply the 9 by the stuff in the parentheses
9y2 + 63y2 - 45
72y2-45
Rearrange x= 3g + 2 to make g the subject
Answer:
g = 1/3 x - 2/3
Step-by-step explanation:
x =3g + 2
Switch sides:
3g + 2 = x
Take away 2 from both sides:
3g = x - 2
Divide both sides by 3:
g = 1/3 x - 2/3
If CDG ~ EDF, find the value of x.
2x+7
5x-2
48
40
Answer:
x=4
Step-by-step explanation:
48/5x-2 = 40/2x+7
48(2x+7) = 40(5x-2)
96x+336 = 200x-80
-96x -96x
336 = 104x-80
+80 +80
416/104 = 104x/104
x = 4
The value of x is equal to 4.
we have given that,
If CDG ~ EDF, find the value of x.
2x+7
5x-2
48
40
we have to determine the value of the x.
What is the similarity of the triangle?
Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.
48/5x-2 = 40/2x+7
48(2x+7) = 40(5x-2)
96x+336 = 200x-80
-96x -96x
336 = 104x-80
+80 +80
416/104 = 104x/104
x = 4
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