Answer: The measure of the middle angle = 52°
Step-by-step explanation:
Let x = Smallest angle.
largest angle = [tex]3x-32[/tex]
Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]
Sum of all angles in a triangle is 180 degrees.
So, Smallest angle+ largest angle+ Middle angle = 180°
[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]
Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]
[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]
Hence, the measure of the middle angle = 52°
Mr. Richard plans to take 25 students on a school trip. They plan to go to Zoo. The bus fee is $100 for the entire trip. Entrance fee is $2.50 per person. How much should each student pay? Note: Mr. Richard does not need to pay.
Answer:
$162.50
Step-by-step explanation:
+$100
25x2.50= $62.50
+$62.50
100+62.50=162.50
Answer:
Each student should pay $6.50
Step-by-step explanation:
The question is not very clear.
If Mr. Richard has to pay to enter:
Total cost = $100 + ($2.50×26) = $165
Cost per student = [tex]\frac{165}{25}[/tex] = $6.60
Each student should pay $6.60
If Mr. Richard doesn't have to pay to enter:
Total cost = $100 + ($2.50×25) = $162.5
Cost per student = [tex]\frac{162.5}{25}[/tex] = $6.50
Each student should pay $6.50
PLEASE ANSWER AS SOON AS POSSIBLE!
7th grade math help me plzzzzz
A number t increased by seventy
Answer: t + 70
Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.
NEED ASAP
Select the THREE expressions that are equivalent to -2(4 – 3x) + (5x – 2).
A) 2x – 10
B) 11x – 10
C) -8 + 11x – 2
D) -8 – 11x – 2
E) -8 + 6x + 5x – 2
F) -8 – 3x + 5x – 2
Answer:
B , C ,E
Step-by-step explanation:
Open the brackets
= -8+6x+5x-2
= -8+11x-2
= 11x-10
options. E, C and B respectively
Answer:
(B). 11x - 10 ; (C). - 8 + 11x - 2 ; (E). - 8 + 6x + 5x - 2
Step-by-step explanation:
- 2(4 - 3x) + (5x - 2) = - 8 + 6x + 5x - 2 = - 8 + 11x - 2 = 11x - 10
10t-19=7t-14
what does t=
Answer:
t = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
10t - 19 = 7t - 14
Subtract 7t from both sides;
3t - 19 = -14
Add 19 to both sides;
3t = 5
Divide both sides by 3;
t = [tex]\frac{5}{3}[/tex]
(0, -15), (-12, 18)
Can some one find the slope
Answer:
use this formula the answer is down below.
[tex]\frac{ysub2-ysub1}{xsub2-xsub1}[/tex]
Step-by-step explanation:
this is y. -15-18= -33
this is x. 0--12 (so in this case you would add 12)
the slope is -33/12
which equation represents a line which is perpendicular to the line y=4/3x - 7?
a. 3x + 4y = 8
b.4x + 3y = -6
c. 4x - 3y = 24
d. 4y - 3x = 12
Hi guys can you please help me with this problem please ill mark brainiest
The answer is y= 23/4
How many eighth notes do you need to total the amount of a half note
Answer:
Four eighth notes
Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.
Step-by-step explanation:
Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.
Identify the property on this equation 5(a + 3b) = 5a + 15b
Answer:
??????????????????????
Step-by-step explanation:
Answer: Distributive Property
The term "distribution" is also used in place of "distributive"
This property says
x*(y+z) = x*y + x*z
We multiply the outer term x with each inner term (y and z). Then we add the results.
In this case,
x = 5
y = a
z = 3b
So,
5(a+3b) = 5*a + 5*3b = 5a+15b
Slope of (-8,2) and (-8,-6)
Answer:
-8
Step-by-step explanation:
Isaiah is mowing lawns for a summer job for every mountain Charlie charges an initial fee of $10 plus $6 dollars for each additional hour
1. write an equation in slope intercept form
2. how much money does he make after working one job for four hours
Answer:
y = 6x + 10
Isaiah makes $34.00 after working for 4 hours.
Step-by-step explanation:
Slope intercept form is y=mx+b
In this situation the equation would look like so, x = amount of hours:
y = 6x + 10
To solve for how much Isaiah earns after 4 hours plug in 4 instead of x.
y = 6(4) + 10
y = 24 + 10
y = 34
Isaiah makes $34.00 after working for 4 hours.
Hope that helps and have a great day!
Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.
Answer:
Plot it at (4,-0.5)
Step-by-step explanation:
Answer:
-4, -0.5
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
x= 53 and y= 143
Step-by-step explanation:
x= 90-37
x= 53
y= 53+90
y= 143
The gas tank in sampson car has a capacity of 19.1 gallons . on a Tripp to see his cousin , Sampson begins with 12.8 gallons if gas in the tank he stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons. When sampson arrives at his cousins house he has 3.7 gallons of gas left. How much gas , did sampson use on his trip
Answer:
23.5 gallons
Step-by-step explanation:
The gas tank in Daniel's car has a capacity of 19.1 gallons.
On a trip to see his best friend Daniel begins with 12.8 gallons of gas in the tank.
He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons.
When Daniel arrives at his friend's house, he has 3.7 gallons of gas left.
Total amount of gas filled was (12.8 + 14.4) = 27.2 gallons.
The amount of gas remaining after the trip was 3.7 gallons
The amount of gas, in gallons, used by Daniel on his trip was 27.2 - 3.7 = 23.5 gallons
Answer:
fat nuts
Step-by-step explanation:
i forgor
Which of the following is not a function
B is not right
Answer:
The first one
Step-by-step explanation:
They have 2 outputs for the same input
Three Variables LINEAR EQUATION
Answer:
x= 1, y= -2, z= 5
Step-by-step explanation:
Please see the attached picture for the full solution.
Which of the following polynomial functions is graphed below?
Answer: B. f(x)=(x+4)(x-2)^2(x+3)
Step-by-step explanation:
in the graph there's two negative x value and one positive x value
so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)
the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))
Answer: B
Step-by-step explanation:
Find the area of this parallelogram.
5 cm height
7 cm width
Answer:
35 cm^2
Step-by-step explanation:
To find the area you need to find the width and height which we have.
Now all you need to do is to use the formula Height x Width= area
so replace height with 5 cm and width with 7 cm
5 cm x 7 cm = area
5 times 7 is 35 so the area of the parallelogram is 35 cm^2 (cm times cm is cm^2)
Hope this helps!
Answer:
its either 35 or 70
Step-by-step explanation:
multiply 5 and 7 to get 35 or multiply 5 x 7 twice and get 70 pls mark brainliest me nub
What is f(4) for the function f(x) = 6x +3?
f(4)=0
The value of function f(4) is 27.
It is required to find the value of function f(4).
What is function?
A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given that:
The function is
f(x) = 6x +3
Now put the value x=4 in the given function, we get
f(4)=6(4) +3
= 24+3
=27
f(4)=27.
Hence, the value of function f(4) is 27.
Learn more about function here:
https://brainly.com/question/19013514
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9. y + 7 = 2(x + 5)
in standard form
Answer:
y=2x+3
Step-by-step explanation:
1. y+7=2(x+5) (rewrite the problem)
2. y+7=2x+10 (distribute the 2)
3. y=2x+3 (subtract 7 from both sides; 10-7=3)
Please HURRY I need to get this turned in.....
7. Of the three explanations below, which person gives the best explanation of why the LSRL is the best line of best fit?
Explain your choice.
Thomas: The LSRL is the best line of
best fit because it touches the most
points on a scatterplot when graphed.
Keene: The LSRL is the best line of best fit
because it has the smallest value for all the
squared residuals added together.
Ella: The LSRL is the best line of best fit because the sum of the residuals is closest to zero when they are all
added together.
Answer:
Ella
Step-by-step explanation:
IT goes more into detail on why the LSRL is best line of fit
An independent study commissioned by the stadium showed that running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets. How long should the stadium run the cable ad in order to reach this target?
Answer
I think 55 times
Step-by-step explanation:
13,200/1,200 = 11
5/1200 = x/13,200
so if 1,200*11=13, 200 then 5*11= 55.
btw , could u give me the brainliest if i am right?
The total time the stadium runs the cable ad in order to reach this target is 11 days and this can be determined by using the unitary method.
Given :
Running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets.The following steps can be used in order to determine the total times the stadium run the cable ad in order to reach this target:
Step 1 - The unitary method can be used in order to determine the total times the stadium runs the cable ad in order to reach this target.
Step 2 - According to the given data, running a cable TV ad 5 times daily for a week generated 1,200 ticket sales.
Step 3 - If running TV ad 5 times daily sales 1200 tickets then to sell 13200 tickets the total times the ad is running is:
[tex]=\dfrac{13200}{1200}\times 5[/tex]
= 55 times
Step 4 - Now, if 5 times ad running in one day then 55 times ad running in:
[tex]=\dfrac{55}{5}\times 1[/tex]
= 11 days
For more information, refer to the link given below:
https://brainly.com/question/25834626
A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.
Answer:
2/5
Step-by-step explanation:
first select the line that is positive which is the purple one
slope = change in y / change in x
two clear points are (0,2) and (5,4)
so you do y2-y1 / x2-x1
=(4-2)/(5-0)
=2/5
so the slope is 2/5
5. Explain how you would classify if a square root is rational or irrational.
Answer:
if its not a perfect square(like u can't square it) then its irrational
Evaluate the expression 5c-2 for c=5.
help
Answer:
= 23
Step-by-step explanation:
(5) (5) - 2 ( multiply )
= 5 * 5 = 25
( subtract ) 25 - 2 = 23
-6 - 5 + 3 =
(worth 10 points)
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
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Olivia went to buy shoes at the mall. The shoes cost $55. If tax was 8%, how much did Olivia pay in all? i don't understand it
Answer:
$59.40
Step-by-step explanation:
8% is equal to 0.08
since you are adding the tax to the original cost you will multiply 55 by 1.08 to get the cost of the shoes plus the tax.
Answer:
55 times .8 =44$
Step-by-step explanation:
You triple your account balance by making a deposit. Then you withdraw $125.00 to buy groceries. Your account is overdrawn $5.00 write an equation to find your account balance before you made the deposit
Answer:
3x - 125 = -5
Step-by-step explanation:
the 3 is the triple, x is the deposit and -125 is the withdrawn and -5 is what's left over in the bank account