Answer:
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
Step-by-step explanation:
The given statement can be converted into a mathematical equation step by step.
First of all, we have to suppose a variable for the number as we don't know the exact number.
So,
Let x be the number then
five times a number => 5x
The sum of 10 and five times a number => 5x+10
the difference of the number and 6 => x-6
Putting in equation form we get
[tex]5x+10 = x-6[/tex]
Hence,
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
I really need help with this
Answer:
a. x=11°
b. ABC=106°, BCA=33° and BAC=41°
c. Sorry but I can't see the lines l and m
Step-by-step explanation:
a. the question stated that the sum of the measures of the angles in the triangle is 180°
so therefore equate all the values in the triangle to 180°
(9x+7)+ 3(x) + (3x+8)=180°
15x+ 15=180
15x=180-15
15x=165
Divide both sides by 15
therefore x=11
b. ABC=(9x+7)
where there is x put the x value you solved for there which is 11
therefore ABC=(9×11+7)= 106°
Do the same for BCA and BAC
Is the graph linear or non-linear?
Answer:
Linear.
Step-by-step explanation:
A easy way to remember is Linear has the word line in it and Non-linear has the words no line in it. To solve the table, you can graph the points, and if you get a straight line it's linear. If you don't want to graph the points, then you need to make sure there is a pattern. The x's go up by 3 every-time and the y's go up by 5 every time. This table is linear. Hope this helps!
6. Write the
equation
(0,5) and (5,1)
Answer:
There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator
Step-by-step explanation:
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Answer:
4x +5y = 25
Step-by-step explanation:
One way to write the equation is ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)
(1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5
-4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1
4x +5y = 25 . . . . standard form equation of the line
__
Another way to write the equation is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1 -5)/(5 -0)(x -0) +5
y = -4/5x +5 . . . . slope-intercept form of the equation of the line
10
Steve has 54 stamps in his collection of 13€,
294, and 45¢ stamps, totaling a value of $15.98.
If the number of 13¢ stamps is doubled, the
new total value of his stamp collection would
be $17.80. Find the number of each type of
stamp in his collection.
A) 14- 13€, 24 - 294, 16 - 45€
they felt like it
B) 16- 134, 25 - 294, 13- 45°
she lost a bet
C) 15 - 13€, 24-29€, 15 - 45°
she was bored
D) 15 - 13€, 25 - 294, 14- 454
she thought it was cool
E) 14- 13¢, 25 - 29%, 15 - 45°
it would be fun
Gina Wison II Ting Alpebra LC), 2016
This question was not written properly
Complete Question
Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.
Answer:
a) The number of 13 cent = 14
b) The number of 29 cent = 24
c) The number of 45 cent = 16
Step-by-step explanation:
We are told he has 54 stamps in total.
These stamps are;13 cent, 29 cent, and 45 cent stamps.
Let's
Number of 13 cent = a
Number of 29 cent = b
Number of 45 cent = c
Hence,
a + b + c = 54........... Equation 1
The total value of the 3 stamps are $15.98.
1 cent = $0.01
We have
0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2
We know from the question that:
13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.
Therefore
2(0.13a) + 0.29b + 0.45c = 17.8
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
Combining Equation 2 and 3 together
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
We eliminate b and c by Subtracting Equation 3 from 3
0.13a = 1.82
a = 1.82/0.13
a = 14
a + b + c = 54........... Equation 1
Since a = 14
14 + b + c = 54
b + c = 54 - 14
b + c = 40
c = 40 - b
Substitute 40 - b for c and 14 for a is Equation 2
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98
= 1.82 + 0.29b + 18 - 0.45b = 15.98
Collect like terms
1.82 + 18 - 15.98 = 0.45b - 0.29b
3.84 = 0.16b
b = 3.84/0.16
b = 24
Hence: Solving for c
a + b + c = 54........... Equation 1
14 + 24 + c = 54
38 + c = 54
c = 54 - 38
c = 16
Therefore,
The number of 13 cent = 14
The number of 29 cent = 24
The number of 45 cent = 16
You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
²[tex]2x^2-1414x=24[/tex]
Find the distance between the points (3, 9) and (-9, -7).
Answer:
20
I hope this helps!
Which one represents a proportional relationship?
Helps me solve this problem please
Step-by-step explanation:
2x + 5y = 6
move it = y= -2x+6
the slope is -2
so, the slope is negative
A woman goes to macy's and wants to purchase the following items: A sweater for $19.99, a belt for $29.99 and a pair of earrings for $79.99. How much is her total bill? (assume no tax )
Answer:
129.97
Step-by-step explanation:
19.99+29.99+79.99=129.97
Earth travels 30 kilometers each second as it revolves around the Sun. How many miles does Earth travel in 1 second? Round to the hundredths if necessary.
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Answer:
18.64 miles
Step-by-step explanation:
There are 1.609344 km per mile, so the distance traveled in 1 second is ...
(30 km)(1 mi)/(1.609344 km) ≈ 18.64 mi
The Earth travels around the Sun at the rate of about 18.64 miles per second.
Answer:
18.64 if rounded
Step-by-step explanation:
First you need to know how many miles is 1 kilometer. That would be approximately 0.62137 miles. Multiply this by 3 and you would get 1.86411. Now multiply this by 10 to make it 30 kilometers worth of miles and not 3 kilometers. You would get 18.6411 which rounded to the hundredths place would be 18.64.
Need help on 7-8, thank you in advance! :)
Answer:
7)
a. y = 1/3x - 2
b. m = 1/3, b = -2
8.
a. y = -1/3x -5
b. m = -1/3, b = -5
Step-by-step explanation:
7.
2x - 6y = 12
-6y = -2x + 12
y = 1/3x - 2
8.
x + 3y = -15
3y = -x - 15
y = -1/3x -5
c.
6. At a football game, the home team gave a football to each of the first 1,000 fans who arrived at the stadium. Each football cost $31. What expression can you write that shows the total cost of the footballs?
Answer:
1,000*31 = 31,000
Step-by-step explanation:
since the first 1000 fans get a ball and each ball costs $31 then u multiply
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?
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Answer:
9 +3/4b
Step-by-step explanation:
The speed of the second cyclist is b more than 12 miles per hour, so is ...
2nd cyclist speed = b + 12
The time of interest is 45 minutes = (45/60) hours = 3/4 hours.
The distance the second cyclist travels in 3/4 hour is ...
distance = speed × time
distance = (b +12)(3/4)
distance = 3/4b +9 . . . miles
$50. MP3 downloads cost $1.5 each. How many songs can he download
and still have $12
Answer:
25 MP3 downloads
Step-by-step explanation:
If he starts off with $50 then these are the steps
$50 - $1.50 = $48.50 for 1 MP3
$48.50 - $1.50 = $47.00 for 2
$48.50 - $1.50 = $45.50 for 3
then repeat that until we have $12
it doesnt give us exactly $12 but it gives us $12.50 reminder
So he can but 25 MP3 downloads and still have at least $12 remining
Hope this helps plz give me brainliest I worked really hard
Find the sum.. -3/2 + 8/5
Answer: 0.1 or 1/10
Step-by-step explanation:
Find the total surface area of this cuboid,
5 cm
4 cm
6 cm
An airline charges more money for bags weighing over 50 pounds. Your bag weighs 45.83 pounds. How much more weight can you put in your bag before it reaches 50 pound
Answer:
4.17 Pounds
Step-by-step explanation:
To get to 50 pounds you have to subtract 50 by the amount of weight on your own bag, so 50-45.83. That would get you 4.17. Hope this helps!
can anybody help me with this
Answer:1. 2 day
Answer:2.8/16
Answer:3.2 hours
Step-by-step explanation:make sure to rate me with 5 stars and thank me
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $10. B. For every hour the car is parked, the cost increases by $5. C. For every hour the car is parked, the cost increases by $20. D. For every hour the car is parked, the cost increases by $15.
Answer:
For every hour the car is parked, the cost increases by $5.
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h.
The fixed cost for the parking is $15. Here, $5 is extra. It increases as the number of hours increases. For every hour, the cost increases by $5. Hence, the correct statement for the given problem is (C) "for every hour the car is parked, the cost increases by $5".
this is one thing in math I can't figure out.
Answer:
12/9 and 4/3... Hit it in the calculator
Order these three values from least to greatest. Explain or show your reasoning using the "show your work option".
65% of 80
82% of 50
170% of 30
Six students are working to simplify the expression shown. Drag each student’s answer to a box to show whether it is fully simplified equivalent to the given expression but not fully simplified, or not equivalent to the given expression.
Answer: The arrows show the appropriate destination for your dragging.
_____
Combining like terms in the given expression makes it simplify to ...
(2x -18x) +(14y) +(9 -10) = -16x +14y -1
We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:
2x -18x +14y -19 = -16x +14y -19 . . . not the same
-2xy -1 . . . not the same
16x +14y -1 . . . not the same
9 -16x +14y -10 = -16x +14y -1 . . . equivalent
-16x +14y -1 . . . equivalent and simplified
2x -18x +14y -1 = -16x +14y -1 . . . equivalent
Step-by-step explanation:
The equation of the line in the graph is y= (blank) x+ (blank)
For a complex number, multiplying by the conjugate always gives which of the following? Select one: O A Non-negative complex number O B. Non-negative real number O C. Negative real number D. Positive rational number E. Negative irrational number
Answer:
B. Non-negative real number
Step-by-step explanation:
For a complex number, multiplying by the conjugate always gives Non-negative real number
Help quickly!!! Will give points!!
Answer:
you need to show the examples
Step-by-step explanation:
At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
3000 people
Step-by-step explanation:
4% teenagers --> 120 teenagers were there
120/4 means 1% so 30 is 1%
1% times 100 is 100% so 30 times 100 equals 100% so 3000 is 100% of the people at the stadium
What are the four types of slopes? Write an equation for each of the four types of slopes.(in slope intercept form) 9th grade geometry HELP
Answer: positive,negative,zero,undefined,
Step-by-step explanation:
Equations examples
Positive: y=7x-4
Negative:-5x+3
Zero:y=0x-3
Undefined : x=3
Hope the image I attached helps you identify the slope easier :)
The four types of slopes are negative, positive, zero, and undefined.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Slopes come in 4 different types: negative, positive, zero, and undefined.
Examples of equations
Positive: y=7x-4
Negative: -5x+3
Zero : y=0x-3
Undefined : x=3
Therefore, the four types of slopes are negative, positive, zero, and undefined.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
9-9÷9+9-9÷9=??????
25 points
and brainits for the first right answer
Answer:0.00015241579
Step-by-step explanation:
The answer is 17! :D
Have a good day <3
Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)
Answer: (-1.5, 2) and (-1.5, -3.5)
Step-by-step explanation:
The distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
A simpler case, is when we have two points where one of the components is the same for both of them, like:
(a, b) and (a, c)
Then the distance will be:
D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI
Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5
The solution will be:
(-1.5, 2) and (-1.5, -3.5)
Where the x-component is the same in both of them, then the distance will be:
D = I2 - (-3.5)I = I2 + 3.5I = 5.5