Step-by-step explanation:
y=120+55x
here,X = -24/11
Y=120
don't have time or else I would have shown the details
The independent variable in this situation is x and it represents the number of hours taken for installation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Mr. Chen hires an electrician to install the light fixtures for an addition to his house.
The function y=120+55x can be used to model the total cost of the job, in dollars
The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.
initial fee=120
Here x is the independent variable which represents the number of hours taken for installation
Hence, the independent variable in this situation is x and it represents the number of hours taken for installation
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What are the types of roots in a quadratic equation?
Answer:
There are three types of roots of a quadratic equation ax2+bx+c=0 a x 2 + b x + c = 0 : Real and distinct roots. Real and equal roots. Complex roots.
Step-by-step explanation:
Hope this helps!
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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence of three actions. Each action consists of either pressing one of the buttons or pressing a pair of them simultaneously.
There are several ways the door can be locked, these ways illustrate combination.
There are 3375 possible combinations
From the question, we have:
[tex]\mathbf{n = 5}[/tex] --- the number of digits
[tex]\mathbf{r = 3}[/tex] ---- the number of actions
Each of the three actions can either be:
Pressing one buttonPressing a pair of buttonsThe number of ways of pressing a button is:
[tex]\mathbf{n_1 = ^5C_1}[/tex]
Apply combination formula
[tex]\mathbf{n_1 = \frac{5!}{(5-1)!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5!}{4!1!}}[/tex]
[tex]\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}[/tex]
[tex]\mathbf{n_1 = 5}[/tex]
The number of ways of pressing a pair is:
[tex]\mathbf{n_2 = ^5C_2}[/tex]
Apply combination formula
[tex]\mathbf{n_2 = \frac{5!}{(5-2)!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5!}{3!2!}}[/tex]
[tex]\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}[/tex]
[tex]\mathbf{n_2 = 10}[/tex]
So, the number of ways of performing one action is:
[tex]\mathbf{n =n_1 + n_2}[/tex]
[tex]\mathbf{n =5 + 10}[/tex]
[tex]\mathbf{n =15}[/tex]
For the three actions, the number of ways is:
[tex]\mathbf{Action = n^3}[/tex]
[tex]\mathbf{Action = 15^3}[/tex]
[tex]\mathbf{Action = 3375}[/tex]
Hence, there are 3375 possible combinations
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Maria started her savings account with $105. she adds $10 to it each month, including the first month. Jana Rae started her account with $0 she adds $25 to it each month. after how many months will the girls have the same amount in their accounts? how much will they have?
Answer:
After 7 months, the girls will have the same amount in their accounts. They will have 175.
Step-by-step explanation:
Maria:
Starts with $105
Adds $10 each month
Jana Rae:
Starts with $0
Adds $25 each month
Set up an equation for both Maria and Jana.
m will represent the number of months.
Maria: 105 + 10m
Jana: 0 + 25m
You can do guess and check.
Let’s say m is equal to 6.
Subsitute m with 6 for both equations and check if they both end up having the same answer.
Maria: 105 + 10(6) = 165
Jana: 0 + 25(6) = 150
Is 165 and 150 equivalent? No
Let’s try m = 7 and do that same thing.
Maria: 105 + 10(7) = 175
Jana: 0 + 25(7) = 175
Now is the answer equal? Yes
So therefore, after 7 months, the girls will have the same amount in their accounts. They will have 175.
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Help! What can we do to kill off the zombies?? The scientists realize that salt kills the zombies, if enough is poured on them (one full can). The reaction between the salt and zombie blood causes the zombie to disintegrate. Morton's salt has a plant in Tooele county just west of Grantsville, and can distribute cans of salt to people residing in Utah. If Morton's salt can distribute 300,000 cans of salt each day, write an equation to model the number of cans of salt distributed after n days.
Question 4 options:
f(n)=300,000n
f(n)=300,000+n
f(n)=300,000n
f(n)=300,000n/n
Answer:
I think its f(n)=300,000n
Step-by-step explanation:
Answer:
f(n)=300,000n
Step-by-step explanation:
which expressions represent 94 increased by twice a number
Answer:
2x+94
Step-by-step explanation:
because 2x means 2×x +94
x= unknown number
+=increase
What is the slope of the line that passes through the points (-4,-2) and (-4,22)
Answer:
0
Step-by-step explanation:
( x1, y1 ) = ( - 4, - 2 )
Here,
x1 = - 4
y1 = - 2
( x2, y2 ) = ( - 4, 22 )
Here,
x2 = - 4
y2 = 22
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )
= ( 22 + 2 ) / ( - 4 + 4 )
= 24 / 0
= 0
As a part of raising funds for an orphanage,you received $120.50 and wanted to split the money into
groups of food items; clothes and story books .
a)If you want the same amount for each group, how much money will you put into each group?
b)Imagine if you want to save same amount of the money for stationary items, then how will you split the money into various groups?Justify
c)If you receive an extra money of $9.50 from people, then how much will be saved for each group?(Include all the groups)
Answer:
a) there are three groups here
total cash = $120.50
each group takes = $120.50 / 3
each group have = $40.17
b) Total no of groups = 4
Total cash = $120.50
each group takes = $120.50 / 4
Each group have = $30.13
c) Total group =4
Total cash = $120.50 + $9.50
=$130
each group have = $130 / 4
=$32.5
5x= 20 word problem
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: 5x \: = \: 20[/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: \cancel\frac{20}{5} \\ [/tex]
[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: 4[/tex]
[tex] \mapsto \rm \: 5x = 20[/tex]
[tex] \mapsto \rm \: x = \cancel\frac{20}{5} \\ [/tex]
[tex] \red \mapsto \ \boxed{ \rm \red { = 4}}[/tex]
Explain why it does not matter which point you choose when writing the
equation of the line in point-slope form, given two points.
Answer:
because, it will completely change the slope
Step-by-step explanation:
It does not matter which point you choose when writing the
equation of the line in point-slope form because the slope of the line remains same.
What is a slope ?A slope can be thought of as rate of change of y axis with respect to x axis.
We have been asked in this statement that why it doesn't matter that which point we choose when writing the equation in point slope form.
Let us understand this with an example,Suppose we have two pair of points. (x₁,y₁) = (2,3) and (x₂,y₂) = (5,9).
We know slope(m) is = (y₂-y₁)/(x₂-x₁).
Slope(m₁) = (9-3)/(5-2)
= 6/3
= 2.
Now if interchange the points (x₁,y₁) = (5,9) and (x₂,y₂) = (2,3).
Slope(m₂) = (3-9)/(2-5)
= -6/-3
= 2.
So, even when interchanging the points the slope m₁ = m₂ this is the reason why it doesn't matter which point we choose.
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Ms. Dirr is selling her car to her sister. The original price of the car was $24,179 and
each year the car decreasing (goes down) by $3000. Write a function rule where C =
value of the car and y = number of years
O C = 3000 - 24179y
O C = 24179 - 3000y
O C = 3000 + 24179y
OC - 24179 + 3000y
Answer: 24,179 - 3000y
Step-by-step explanation: Each year the car goes down by 3000 since you said it was decreasing, so y represents the year and you eould out it next to the 3000 to represent that 3000 is being decreased every year.
What is the approximate value of the number below rounded to the
nearest tenths.
37
——
√144
Answer:
3.08
Step-by-step explanation:
because 144 is a squre root of 12
Help meeeeee ????????
3(m+2) = 5m-58
3m+6 = 5m-58
6 = 2m-58
64 = 2m
m = 32
Write an equation. A number is doubled, then 9 is added. The result is 23.
Answer:
2n + 9 = 23
Step-by-step explanation:
let the number be n then double the number is 2n and adding 9 gives
2n + 9 ( the result is 23 ) , so
2n + 9 = 23 ← is the equation modelling the statement
700, 3128, 5024,9000,10018 cuáles son divisibles entre 8
Answer:
3128, 5024, 9000
Step-by-step explanation:
3128÷8=391; 5024÷8=628; 9000÷8=1125
Ty’Reese is 12 years old and collects trading cards. He has 972 cards. He wants to put them into albums. Each album holds 36 cards. How many trading card albums will he need?
In the wοrd prοblem, He need 27 albums fοr tοtal trading cards.
What is wοrd prοblem?Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.
Here the given Tοtal number οf cards = 972
Number οf cards each album hοld = 36
Nοw ,Tοtal number οf album
=> Tοtal number οf card / Number οf cards each album hοld
=> 972/36
=> 27.
Hence He need 27 albums fοr tοtal trading cards.
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Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.
El área del paralelogramo, en centímetros cuadrados, es igual al producto de su base por su altura, ambos en centímetros. En consecuencia, el área de la figura geométrica es la siguiente:
[tex]A = (13\,cm)\cdot (8\,cm)[/tex]
[tex]A = 104\,cm^{2}[/tex]
El área del paralelogramo con base de 13 centímetros y altura de 8 centímetros es 104 centímetros cuadrados.
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Tiffany is filling her daughter's pool with water from a hose. She can fill the pool at a rate of 1/10 gallons per second.
Create at least three equivalent ratios that are associated with the rate. Use a double number line to show your work.
The three equivalent ratios are 6/1 gallons/minute, 1/40 quarts/second and 360/1 gallons/hour.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Tiffany can fill the pool at a rate of 1/10 gallons per second.
Equivalent ratios are the ratios that are the same when we compare them.
We know that, 60 seconds =1 minute
1/10 × 60 = 6 gallons/minute
1 gallon = 4 quarts
1/10 = 1/10×4 = 1/40 quarts/second
1 hour =60 minute
So, 6 gallons/minute =6×60
= 360 gallons/hour
Here, 6 gallons/minute = 1/40 quarts/second = 360 gallons/hour
Therefore, the three equivalent ratios are 6/1 gallons/minute, 1/40 quarts/second and 360/1 gallons/hour.
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Please help meeeee how do you rotate this?????
Answer:
Hello,
Here is the answer,
After rotating your graph would look like this with P being at (1, -2) and C still being at (-2, 5). The Upper point is C the lower point is P
Step-by-step explanation:
work out the surface area of this cylinder
8cm diameter
16.8cm height
For brainily please help
Answer:
3
Step-by-step explanation:
It's the same on both sides
The n sequence question
Answer:
a) in order
-3;-2;-1
b) 6
1-4=-3
2-4=-2
3-4=-1
4-4=0
5-4=1
6-4=2
7-4=3
8-4=4
9-4=5
10-4=6
½x - 5 = -6
Which solution makes this equation true?
1. -12
2. -2
A rancher feeds one of her horses 6 scoops of corn each day during the winter. She feeds the horse half as much corn during the summer. How much corn does the rancher feed the horse each day in the summer?
Answer:
the answer is three
Step-by-step explanation:
because half of 6 is 3
how do you do this please help
Answer: can u be more direct plz
Step-by-step explanation:
May I please receive help?
Answer:
Parallel: y=2x+3
Perpendicular= 1/2x+6
how do i find the sum of (5/4q + 1) + (q - 4) + (-1/4q + 2)
Answer:
2q-1
Step-by-step explanation:
Add:
Look at only the q's inside the parenthesis and see if there are other q's in it, in this case there are none.
Now look outside the parenthesis and add the q's outside of it which is 5/4q, q and -1/4q
5/4q-1/4q is q
q+q is 2q
Now do the same thing with the numbers that doesn't have variables
1-4+2=-1
So the answer is 2q-1
Hope this helps!
Answer:
2q -1
Step-by-step explanation:
(5/4q + 1) + (q - 4) + (-1/4q + 2)
5/4q + 1 + q - 4 - 1/4q + 2
5/4q + q - 1/4q + 1 - 4 + 2
2q -1
19. Graph the function 3x + 2y = 8 with the given
domain: (-2,0, 2, 4}
TEK 3C
Justify/Show your work:
Answer:
Step-by-step explanation:
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)
Answer:
x = 12.2 mi
Step-by-step explanation:
Given the two sides of the right triangle:
a = 6.1 mi
b = 10.6 mi
c = x
Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:
c² = a² + b²
c² = (6.1)² + (10.6)²
[tex]\sqrt{(c^{2})} = \sqrt{37.21 + 112.36}[/tex]
c = 12.2 mi
Therefore, the value of the hypotenuse is: x = 12.2 mi
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (10,6)² + (6,1)²
x² = 112,36 + 37,21
x² = 149,57
x = 12,22mi✔
order the numbers from least to greatest
Answer:
-7/3 < -3/4 < 0.5 < 2/3 < 1.2
Step-by-step explanation: Heres your answer. Sorry if its wrong.
Musi measured the length and width of a soccer field and then made a drawing of the soccer field . He decided to use 1 mm on his ruler to represent 3 m on the soccer field. If his measurement of the width of the soccer field was 63m , what is the width of his drwaing?
If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.
Let "x" represent the width of his drawing in millimeters.
The proportion can be set up as follows:
1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)
Now, cross-multiply and solve for "x":
1 * 63 m = 3 * x mm
63 = 3x
Divide both sides by 3 to find the width of his drawing:
x = 63 / 3
x = 21
So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.
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