Answer:
[tex]c = 0.35 x + 24[/tex]
Step-by-step explanation:
First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:
cost = 35¢ (number of miles) + $24 (starting fee)
We can also write this like this:
[tex]c = 0.35x + 24[/tex]
If you want to test this equation, put in a value for the x variable, like so:
Value: 25 miles
[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]
For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.
Determine which lines are parallel and which are not parallel. Explain your reasoning.
1. m∠3=69°, m∠7=71°
2. m∠3=76°, m∠8=114°
(please explain!!)
Answer:
If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.
So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.
Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:
angle 3 and angle 7 should be equal.
Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.
Here we have two cases:
1) m∠3=69°, m∠7=71°
Here we can see that:
m∠3 ≠ m∠7
Thus, lines R and S are not parallel.
And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.
2) Now we have that:
m∠3=76° , m∠8=114°
Notice that angle 8 and angle 7 are adjacent, then we have that:
∠7 + ∠8 = 180°
And we know that:
∠8 = 114°
Then:
∠7 + 114° = 180°
∠7 = 180° - 114° = 76°
Then we have:
∠7 = ∠3
From this we can conclude that lines R and S are parallel.
(again, we can not do anything with lines N and M)
Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -1.
Answer:
y=3/5x-1
Step-by-step explanation:
Find the value of x. Round
the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
We need to use the law of sines
sin 27 sin 34
------- = --------
11 x
Using cross products
x sin 27 = 11 sin 34
x = 11 sin 34/ sin 27
x=13.54901
To the nearest tenth
x = 13.5
Which of the following is(are) the solution(s) to |15x + 2 |= 8 ?
Hi!
[tex]|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-\frac{2}{3}}[/tex]
Answer:
x = 2/5 x = -2/3
Step-by-step explanation:
|15x + 2 |= 8
There are two solutions, one positive and one negative
15x + 2 = 8 and 15x + 2 = -8
Subtract 2 from each side
15x + 2-2 = 8-2 and 15x + 2-2 = -8-2
15x = 6 15x = -10
Divide by 15
15x/15 = 6/15 15x /15 = -10/15
x = 2/5 x = -2/3
Calculate the value of 3√216
by using prime
factors
Answer: 43,2
Step-by-step explanation:
[tex]\bf 3\sqrt{216 }=3\cdot 6\sqrt{6}=18\sqrt{6} \approx43.2 \\\\ \sqrt{216} =\sqrt{ 2^{3}\cdot 3^3}=\sqrt{2^2\cdot 3^2\cdot 3\cdot 2}=3\cdot 2\sqrt{3\cdot 2} =6\sqrt{6}[/tex]
if you get 76% on a 50 question test how many questions did you get wrong?
Answer:
100% - 76% = 24%
24% = 0.24
0.24*50 = 12
You got 12 questions wrong.
Step-by-step explanation:
Please mark brainliest!
Number of questions that got wrong are 12 .
Given,
76% on a 50 question test.
Here,
Let total percentage value be 100%.
Then,
100% - 76% = 24%
24% questions got wrong.
Number of questions that got wrong out of 50 will be ,
24% of 50
= 0.24*50
= 12
Therefore 12 questions got wrong.
Know more about percentages,
https://brainly.com/question/23418123
#SPJ4
A recipe calls for 8 ounces of butter and 3 otnces of chocolate. If I reduce the
recipe to use only 6 ounces of butter, how much chocolate should I use?
Answer:
you should use 1 ounce of chocolate to 6 ounces of butter
Step-by-step explanation:
if you are going from 8 ounces to 6 ounces of butter you are subtracting 2 ounces. to even it out you should use two ounces less of chocolate, leaving 1 ounce of chocolate to be used
Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.
Answer:
10 and 4Step-by-step explanation:
The first term is a, common difference is d.
The 6th term:
a + 5d = 30The 12th term:
a + 11d = 54Solve the system by elimination:
11d - 5d = 54 - 306d = 24d = 4Find a:
a + 5*4 = 30a + 20 = 30a = 10Answer:
Given :-6th term = 30
12th term = 54
To Find :-First term
Common difference
Solution :-We know that
[tex] \sf \: a_{n} = a + (n - 1)d[/tex]
For 6th term
[tex] \sf \: 30 = a + (6 - 1)d[/tex]
[tex] \sf \: 30 = a + 5d[/tex]
For 12th term
[tex]\sf \: a_{n} = a + (n - 1)d[/tex]
[tex] \sf \: 54 = a + (12 - 1)d[/tex]
[tex] \sf \: 54 = a + 11d[/tex]
On subtracting both
[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]
[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]
[tex] \sf \: 24 = 6d[/tex]
[tex] \sf \: \dfrac{24}{6} = d[/tex]
[tex] \sf \: 4 = d[/tex]
Now
Using 2
[tex] \sf \: 54 = a + 11d[/tex]
[tex] \sf \: 54 = a + 11(4)[/tex]
[tex] \sf \: 54 = a + 44[/tex]
[tex] \sf \: 54 - 44 = a[/tex]
[tex] \sf \: 10 = a[/tex]
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
What is the value of the expression 53.5-5? please explain
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
the circumference of a circle is 11pi ft. find its diameter, in feet
Answer:
The diameter would be 11 feet
Step-by-step explanation:
C = pi * d
we don't know D so we rearrange the equation to solve for D by dividing both sides by pi:
C/pi = d
Now we plug in everything
11pi/pi = d
The pi cancel each other out leaving with 11 feet
Therefore D = 11 feet
4. (a) Determine the sum of the interior angles of a dodecagon (12-sided polygon). Show your
work.
(b) Determine the sum of the exterior angles.
Answer:
A.1800 B.360
Step-by-step explanation:
a- 12-2×180=1800
b- 30x12=360
A square has an area of 49 cm squared what is the length of each side
Answer:
7
Step-by-step explanation:
[tex]s = {a}^{2} \: thus \: a = \sqrt{s } = \sqrt{49} = 7[/tex]
Can anyone plz solve this question step by step ASAP!
Answer:
40√3 cm²Step-by-step explanation:
Step 1
Find the height:
h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3Step 2
Find the area:
A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²What are the coordinates of the terminal point determined t= 10pi/3?
we know that :
10*pi/3------> convert to degrees------> 10*180/3=600 degrees
600=360+240
240 degrees belong to the III quadrant so
the x-coordinate is negative
the y-coordinate is negative
240°=180°+60°
60 degrees is the angle to find the terminal point
let ∅=60°
in the unit circle
r=1 units
x=-r*cos ∅----> x=-cos 60------> x=-(1/2)
y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2
the point is ( -1/2 , -√3/2)
A worker can complete the assembly of 15 cell phones in 6hrs. At this rate, how many can the worker complete in a 40hrs work week?? With full workin!!
Answer: 100 cell phones.
Step-by-step explanation:
The worker makes 2.5 phones an hour. 2.5 x 40 = 100.
What's 0. (6) as a percentage?
Answer:
Write as a percent.0.6 = 0.60 = 60%
Answer:
Its 60 percentage
I HOPE ITS RIGHT IF NOT THEN SORRYHAVE A GREAT DAY :)
− 96 ÷ −6 ÷ 8 =
a) 2 b) -2
Answer:
answer is 2
Step-by-step explanation:
answer is 2…………………………………
Solve T=L(2+RS) for R
Answer:
Step-by-step explanation:
I would begin by distributing the L. It will be easier in the end to do it this way. There are a couple of ways you can do this, but distribution is the easiest. After you distribute the L you have
T = 2L + LRS
Next subtract the 2L to get
T - 2L = LRS. Lastly, to isolate the R, divide away the LS to get
[tex]\frac{T}{LS}-\frac{2L}{LS}[/tex] = R In that second term, the L's cancel each other out, leaving us with
[tex]\frac{T}{LS}-\frac{2}{S}[/tex] = R
need help with number 8
Answer:
x = 14 2/3
Step-by-step explanation:
it is a parallelogram.
that means AB is parallel to CD, and AD to BC.
it also means that the total angles at B and D must be equal. and the total angles at A and C.
and the sum of all angles in a parallelogram is 360 degrees.
so, we have
360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =
= 8x + 7x + 16 + 2x + 20 + 4x + 16 =
= 21x + 52
308 = 21x
x = 14.666666666.... = 14 2/3
what is the degree of the polynomial below
Answer:
d
Step-by-step explanation:
trust me gang
Answer:
the degree is the value of the highest exponent... 4x^3 the exponent is a three
answer "D"
Step-by-step explanation:
Answer hurry which one 1 2 3 or 4?
Answer:
Option: 1Step-by-step explanation:
Let,
Footprints that Adele will find be = f
So, Footprints that Yumiko finds = 2f = f + f
Since,
As given that,
Yumiko finds 16 Footprints so it will be,
2f = f + f = 16
And,
f = 16 / 2
= 8
Which is half of Footprints found by Yumiko.
So the bar model 1 represents it correct.
Answer:
option 1
Step-by-step explanation:
i did the quiz
what is 5cd
when c = 3
and d = 4
Answer:
60
Step-by-step explanation:
5*3*4
The point slope form of the equation off the line that passes through (-4, -3) and (12, 1) is y -1=1/4(x-12). What is the standard form of the equation for this line ?
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
Answer:
y = -1/3x
Step-by-step explanation:
SOME ONE PLEASE ACTUALLY HELP ME
Answer:
y = 658.3 ft
Step-by-step explanation:
x = 745.5 ft
y = 658.3 ft
tan 28 = 350/y
y = 658.3
Answered by GAUTHMATH
geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!
HELP ASAP!!!
THANK YOU SO MUCH:)))
Answer:
56 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 (14) (8)
A = 56 cm^2
Find max, min of f(x)=|x^2+4x-5| (x∈[-3;0])
Write an expression for the area and the perimeter of this rectangle. The rectangle has a length of 15 and a width of x-5
Answer:
Area: 2(15 + (x - 5))
Perimeter: 2(15)+2(x - 5)
Step-by-step explanation:
To find area you need to add the two sides together and multiply by two, this is as far as you can get with x.
Area: 2(15 + (x - 5))
To find perimeter, you need to find the singular lengths and multiply by two so this is as far as you can get.
Perimeter: 2(15)+2(x - 5)
Hope this helped.
Find the surface area of each figure. Round your answers to the nearest tenth, if necessary
Answer:
268 in ^2
Step-by-step explanation:
SA=2lw+2lh+2hw
width = 4 lenth = 6 height = 11
2(6)(4) + 2(6)(11) + 2 (11)(4)
= 2 (24) + 2(66) + 2 (44)
= 48 + 132 + 88
= 268 in ^2
Answered by G a u t h m a t h
