Answer:
185 miles.
Step-by-step explanation:
According to the given situation, the calculation of mile is shown below:-
Assume drive = x miles
Total bill incurred = ($27 + 0.1 x) = $45.5
Now we will solve the above equation:
0.10x = $45.5 - $27
0.10x= 18.5
x = 18.5 ÷ 0.10
x = 185 miles.
So, the correct answer is 185 miles.
The same is to be considered
The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.
Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2 . The surface area of cylinder B is 3960cm2 . Calculate the height of cylinder B
Answer:
[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]
[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]
[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]
[tex]9 = \frac{h}{10} [/tex]
h=90
The height of the cylinder B is 30 cm.
Given that:
Both cylinders A and B are similar. Similarity applies proportionate size which means we have
height of cylinder A : radius of cylinder A :: height of cylinder B: radius of cylinder B
or symbolically we have:
[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]
or we can say we have:
[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]
Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]
Thus from the formula of surface area of cylinder , we have below equation for cylinder A:
[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]
Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:
[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]
Thus height of the cylinder B is 30 cm.
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https://brainly.com/question/1037971
Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
It is a vertical line
Step-by-step explanation:
Find the slope using rise over run (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(1 - 9) / (-7 + 7)
-8/0
= undefined
Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.
The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.
The point slope formula is represented below:
y - y₁ = m(x - x₁)where
m = slope
Let's find slope
(-7, 9)(-7, 1)
m = 1 -9 / -7 - (-7)
m = -8 / 0 = Undefined slope.
The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.
The equation of the line can be written as x = c.
where
c = constant
Therefore,
x = -7
The equation is x = -7
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Anyone Need Help Urgent
Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
a)To find how much it can hold.
b)Number of cement bags required to plaster it
c)To find the number of smaller tanks that can be filled with water from it ? .....I will mark as BRAINLIEST.... Thank you!
Answer:
c
Step-by-step explanation:
(-10) + -7)
find each sum?
Answer:
-10 + (-7)= -17
Step-by-step explanation:
Answer:
-17
Step-by-step explanation:
-10 plus -7 is -17
Why I cannot simplify P-2l further
Answer:what
Step-by-step explanation:
will give brainliest !!
Answer:
$672
Step-by-step explanation:
Answer: 42
Step-by-step explanation:
I think hope this helps
A clock originally priced at $88 was sold at a sale for $77. The percentage discount?
(a) 11 (b) 12 1/2 (c)14 2/7 (d) 23
Answer:
It would be 12 1/2. (12.5%)
Sally is 6 years older than Ali. Together the sum of their ages is 34. How old is each of them?
Answer:
34-6=?
Step-by-step explanation:
34-6=?
Answer:
Ali is 14
Sally is 20
Step-by-step explanation:
let's call Sally S.
let's call Ali A.
using what's given, you can make this equation:
A + 6 = S
(because Ali is 6 years younger than Sally)
you can also make this equation:
A + S = 34
(because the sum of their ages is 34)
now, substitute S for A + 6.
A + A + 6 = 34
2A + 6 = 34
subtract 6 from both sides of the equation
2A + 6 - 6 = 34 - 6
2A = 34 - 6
2A = 28
divide both sides of the equation by 2
2A/2 = 28/2
A = 28/2
A = 14
almost done! now you just need to substitute A for 14 in the first equation.
A + 6 = s
14 + 6 = s
20 = s
Ali is 14
Sally is 20
help please :( help me :)
Answer:
-2/3
Step-by-step explanation:
We are trying to find the slope given two points
m = ( y2-y1)/(x2-x1)
= ( -1-3)/( 2- -4)
= ( -1-3)/( 2+4)
-4/6
-2/3
Which equation best represents the graph shown above
Answer:
Its y=-2(x-1)^2+6
Step-by-step explanation:
plz help I will mark you brainlist plz
Answer:
this is hard is this algabra
use synthetic division
f(x) = x^3 - 6x + 1 for x = 6
ILL MARK BRAINLIST IF ITS RIGHT !!!
Answer:
181
Step-by-step explanation:
Hope this helps!
Can someone answer the question please.
Identify the vocabulary word that matches the picture.
The measure of one angle of a linear pair is 80°. If the
measure of the other angle is 4x°, what is x?
what is the value of the 4 in 3.954
I believe it is .004 or 4 thousandths
The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?
Answer:
10
Step-by-step explanation:
set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10
Jocelyn bought 11 chicken wings for $18.70. What was the cost of the wings, in dollars per wing?
Answer:
$1.70 per wing
Step-by-step explanation:
To find the cost per wing, take the total cost and divide by the number of wings
18.70/11
$1.70 per wing
Apply the Triangle Sum Theorem, and solve for x.
5x° (Angle G)
4xº(Angle H)
3xº(Angle J)
Answer:
15°
Step-by-step explanation:
5x°+4x°+3x°=180°
12x°=180°
X=(180/12)°
X=15°
Please help picture is above.
Answer:
-2
Step-by-step explanation:
Substitute in -3 for all x values and solve
help = brainleist
please help
Answer:
The answer is D
Step-by-step explanation:
Hope this helps
please mark as brainlist
DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain thoroughly?
Answer:
Please don't hold me to this. I think I'm right, but I'm rusty.
Step-by-step explanation:
Constant of proportionality is how much the graph grows for each increasing x value. Slope.
Also remember, rise over run.
Slope: 2nd y- 1st y
2nd x-1st x
y=mx+b
A) 4.95-3.75 = 1.2 = about $0.09 per ounce (x=0.9)
24-10 14
For every 14 oz, the cost goes up $1.2.
B) 360-150 = 210 = 15 calories per ounce (x=15)
24-10 14
For every 14 oz, there are 210 calories in the drink.
2 triangles have identical side lengths and angle measures. The second triangle is rotated about 45 degrees.
What type of transformation maps ΔQRS to ΔQ'R'S'?
dilation
reflection
rotation
translation
Answer: C. Rotation
Step-by-step explanation:
on ed
Answer:
the answer is C rotation
Step-by-step explanation:
on ed 2020
which is the following solution to
x-13<18
Answer:
X < 31
Step-by-step explanation:
Answer: X<31
Hope this helps!
June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of eleven years. To accomplish this, June invested $17,801 in the account, but later realized that this was not enough money. To the nearest dollar, how much more money should June have initially invested to reach her goal?
Answer:
Step-by-step think she needs 2.73861528462
The amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of eleven years.
Rate = 2.6 %
Therefore, Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = P× 2.6% × 3
6,500 = P× 2.6/100 × 3
P = 22,727.27
Hence, the amount of money invested in an account with simple interest at an annual rate of 2.6% would be $22,727.27.
Learn more about simple interest here;
brainly.com/question/1548909
#SPJ1
−2(−x+4) − 3x+2= −5 what is x?
Answer:
−2(−x+4) − 3x+2= −5 what is x? Well i might be wrong but i think its 2x
Step-by-step explanation:
PEMDAS USE THAT METHOD
Answer: x=-1
Step-by-step explanation:
9. If g(x) = x2 +
+ 3x - 2, find g(-2).
A. -12
B. -4
C. 8
D. 4
Answer:
I think the answer is -12
Step-by-step explanation:
g(x) = x^2 + 3x - 2, If g(-2)
Plug the value for x into the equation
g(x)= -2^2+3(-2)-2
Simplify
g(x)= -4+(-6)-2
g(x)= -10-2
g(x)= -12
Hope this helps ^^
Help me pls.........
Answer:
The account balance will be $2,614.16 after 10 years ⇒ D
Step-by-step explanation:
The formula for compound interest, including principal sum is:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where
A is the future value of the investment/loan, including interestP is the principal investment amount r is the annual interest rate (decimal)n is the number of times that interest is compounded per unit tt is the time the money is invested or borrowed forLet us use this rule to solve the question
∵ Ted invests $1,077 in a savings account with a fixed annual interest
rat 9% compounded three times per year
∴ P = 1,077
∴ r = 9% = [tex]\frac{9}{100}[/tex] = 0.09
∴ n = 3 ⇒ three times per year
∵ The time is ten years
∴ t = 10
Substitute these values in the rule above to find A
∵ [tex]A=1077(1+\frac{0.09}{3})^{3(10)}[/tex]
→ Use your calculator to find the answer
∴ A = 2,614.161681
→ Round it to the nearest cent (2d.p.)
∴ A = $2,614.16
∴ The account balance will be $2,614.16 after 10 years.
rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form
Answer:
f(x) = 2x^2+5x-12
Step-by-step explanation:
Two men can do a work in 4 days and 6 days respectively how many days will it take if they work togatherpls tell with steps ill mark brainlist
Answer:
The answer is 12/5 days
Step-by-step explanation:
The First Man (FM) takes 4 days to complete the work
In one day he does (1/4)th portion of the work
The Second Man (SM) takes 6 days to complete the work
In one day he does (1/6)th portion of the work
The FM and SM together do [ (1/4 ) + ( 1/6) ] th portion of the work
So , [ (3+2 )/12] = ( 5 / 12 ) = 5/12 th portion in one day
Hence, FM and SM together complete the work in 12/5 = 2.4 days