[tex]\dfrac{1}{ \left(\sqrt[3] 7 \right)^5} = 7^n\\\\\\\implies \left(\sqrt[3] 7 \right)^{-5} = 7^n\\\\\\\implies \left(7^{\tfrac 13} \right)^{-5} =7^n\\\\\\\implies 7^{-\tfrac 53} = 7^n\\\\\\ \implies n = -\dfrac 53[/tex]
A rental car company charges $75.77 per day to rent a car and $0.07 for every mile
driven. Scarlett wants to rent a car, knowing that:
• She plans to drive 325 miles.
She has at most $340 to spend.
Which inequality can be used to determine d, the maximum number of days Scarlett
can afford to rent for while staying within her budget?
340 < 75.77d + 22.75
340 < 75.77(d + 22.75)
Submit Answer
340 > 75.77(d + 22.75)
340 > 75.770 + 22.75
The daily rent is an illustration of a linear inequality.
The inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]
The daily charge is given as:
[tex]\mathbf{Daily = 75.77}[/tex]
The rate is:
[tex]\mathbf{Rate = 0.07}[/tex]
Let the number of days be d.
So, the total charges is:
[tex]\mathbf{Total = Daily \times d + Rate \times Miles}[/tex]
This gives
[tex]\mathbf{Total = 75.77 \times d + 0.07\times 325}[/tex]
[tex]\mathbf{Total = 75.77 \times d + 22.75}[/tex]
From the question, we understand that he has at most $340 to spend.
At most means <=
So, we have:
[tex]\mathbf{75.77 \times d + 22.75 \le 340}[/tex]
[tex]\mathbf{75.77d + 22.75 \le 340}[/tex]
Rewrite as:
[tex]\mathbf{340 > 75.77d + 22.75 }[/tex]
Hence, the inequality is (d) [tex]\mathbf{340 > 75.77d + 22.75 }[/tex]
Read more about linear inequalities at:
https://brainly.com/question/11897796
Does (6,2) make the equation y = x true?
Answer:
No it doesnt because 6 does not equal 2
Simplify.
∣∣−13∣∣
3
13
−13
−3
Answer:
The answer is = 13
Step-by-step explanation:
Hope it helped youuuuu
read base and height to find area of triangle in algorithm and flowchart
Complete the proof that m∠QSR+m∠UVX=180°.
Answer:
Co - interior angles of a parallelogram add up to 180 degrees
Step-by-step explanation:
Since UW and RT are parallel lines we can infer that if the QSR was flipped and joined to UVX it would create a parallelogram. Angle theorem states that co -interior angles of a parallelogram add up to 180 degrees.
Using properties of parallel line we can prove that
m ∠QSR + m ∠UVX =180°.
What parallel lines?Numerous pairs of angles are created when a transversal line intersects any two parallel lines. While some angles are complementary, others are congruent (equal).
Properties of Parallel Lines
The fundamental characteristics listed below make it simple to recognize parallel lines.
Straight lines that are always the same distance away from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
We have to prove that m ∠QSR+ m ∠UVX=180°.
Now, using parallel line property
<QSR = <SUV ( corresponding angle).........(1)
and, <SVU + <UVX = 180 (linear pair)
<QSR + <UVX = 180 ( from (1))
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ2
PLEASE ANSWER! GIVE AN STEP-BY-STEP EXPLANATION, PLEASE for Brainliest! :)
*links are prohibited. *
Answer:
-4 4/5 = - 24/5
1 1/3 = 4/3
-(24/5) / (4/3) = -72 / 20 = -3 12/20 = -3 3/5
Using a calculator -(4 4/5) / (1 1/3) = -3 3/5
9
8
7
PER
6+
57
4-
3
As:
24
MY
4
-9 -8 -7 -6 -5 -4 -3 -2
→ 2
8 9
1
2
3 4
5
67
Co
-2
-3
-4
-5
-6-
MY
Pro
-7
-8
Pro
-9
Tea
Answer:
That's quantum mathematics
Plz help
3k-3=15 k equals what??
5
Answer:
k = 6
Step-by-step explanation:
What you do is use inverse operations
15 + 3 =18
18 divided by 3 = 6
k = 6
3(6) - 3 = 15
Answer:
-3=15k-3k
-3=12k
-3÷12=12k÷12
k=-3 over 12
Express as a trinomial.
(x-1)(2x-8)
(x−1)(2x−8)
Answer:
this is a binomial, but its 2x^2-10x+8
Step-by-step explanation:
you use the distributive property
What percent of the students prefer superhero movies? Round your answer to the nearest whole number percent.
Answer:
36%
Step-by-step explanation:
47/132=36%
The = is means the equal sign with the ~ position
The percent of the students prefer superhero movies rounded to the nearest percent is; 36%
How to work with percentages?The table of this random survey of students when seen online tells us that;
Total number of students that prefer super hero movies = 47
Total Number of Students that prefer Comedy = 50
Total Number of Students that prefer drama = 35
Thus;
Total number of students surveyed = 47 + 50 + 35
Total number surveyed = 132
Thus;
Percent of the students that prefer superhero movies = 47/132 * 100%
Percent of the students that prefer superhero movies = 36%
Read more about percentages at; https://brainly.com/question/843074
which statement about the graphs of f(x)=3x-4 and g(x)=3x+4
HELP ASAP I ONLY HAVE 2 MINS
Each month, Ellie spends 4 hours in tap class at her dance studio. If each month she spends 20% of her class time in tap class, what is the total number of hours she spends in dance classes each month? Show your work or explain how you found your answer in complete sentences.
Answer:
20 hours
Step-by-step explanation:
20 hours, since you have to find the remaining 80% of her dance time.
I thought of this as follows:
1/5 = 4
2/5 = 8
3/5 = 12
4/5 = 16
5/5 (100% of her dance time!) = 20 hours!
I hope this helped a bunch! Tell me if you need any further assistance...
( :
The cost for 4 hamburgers and 3 drinks is $14.75. The cost for 5 hamburgers and 4 drinks is $18.75. How much does 1 hamburger cost.
Answer:
each hamburger is $2.75
Step-by-step explanation:
We can solve for this system of equations where x are the burgers, and y are the drinks:
4x+3y=$14.75
5x+4y=$18.75
We need to multiply the first row by 4, and multiply the second row by -3 to be able to solve for x
Multiplying, we get:
16x+12y=$59
-15x-12y=$56.25
Now subtracting the top by the bottom, we are left with:
x=$2.75
Thus, each hamburger cost $2.75
side note, you can plug in x=$2.75 into either equation and solve for y to figure out what each drink costs :)
Use the image to the right to determine how tall the tree is . The hypotenuse is 7.5m and the leg is 6.2m
Answer:
4.22m.
Step-by-step explanation:
Using Pythagoras theorem:
7.5^2 = h^2 + 6.2^2
h^2 = 7.5^2 - 6.2^2
h^2 = 17.81
Height h= 4.22.
10 divided by 2 1/4 = 10/1 divided by what = 10/1 times what is = what
Answer:
1st and 2nd Equation; what = 2.25, 3rd Equation; what = 4.44444
Step-by-step explanation:
40/4 / 9/4 = 40/9 = 4.44444
can someone answer not just use my points
Answer:
35
Step-by-step explanation:
Well if m<YVW = (12x-1) and x=3 then just plug in x
So,
m<YVW = (12(3)-1)
m<YVW = 36-1
m<YVW = 35
Which of the following is a sinusoid??
A
Its pretty easy no cap
6/7 x 5/6 Multiple. into the simpelst form
Answer:
5/7
Step-by-step explanation:6x5 =30 7x6=42 =30/42divided by 6 =5/7
Can anyone help me with this problem?
Answer:
yes I can solve it
Step-by-step explanation:
according to mid point theorem
2×13.8=n+6.7
n= 27.6-6.7
n=20.9
Solve the equation-
[tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex]
Help me SalmonWorldTopper please please
Given info:- 5/(x-3) - 4/(x+4) = 1/x. And here the problem has asked to find out the value of x ?
Let's solve!!
Given equation is 5/(x-3) - 4/(x+4) = 1/x
⇛ [5(x+4) - 4(x-3)]/(x-3)(x+4) = 1/x
⇛ (5x+20-4x+12)/(x-3)(x+4) = 1/x
⇛ (x+32)/(x-3)(x+4) = 1/x
On applying cross multiplication then
⇛ x(x+32) = (x-3)(x+4)
⇛ x²+32x = x(x+4)-3(x+4)
⇛ x²+32x = x²+4x-3x-12
⇛ x²+32x = x²+x-12
⇛ x²+32x-x²-x = -12
⇛ (x²-x²)+(32x-x) = -12
⇛ 0+31x = -12
⇛ 31x = -12
⇛ x = -12/31
∴ x = -12/31
The value of x for the given problem -12/31
VERIFICATION:
Check
If x = -12/31 then LHS of the equation is
5/(x-3) - 4/(x+4)
⇛ 5/[(-12/31)-3] -4/[(-12/31)+4]
⇛ 5/[(-12-93)/31] -4/[(-12+124)/31]
⇛ 5/(-105/31) - 4/(112)/31
⇛ (5×-31)/105 - (4×31)/112
⇛ (-115/105)-(124/112)
⇛ (-31/21) - (31/28)
⇛ (-31)[(1/21)+(1/28)]
⇛ (-31)(21+28)/(21×28)
⇛ (-31×49)/(21×28)
⇛ (-31×7)/(21×4)
⇛-31/12
And RHS = 1/x
⇛ 1/(-12/31)
⇛ -31/12
⇛ LHS = RHS is true for x = -31/12
What is the answer to 4.062 x 100
Answer:
406.2
Step-by-step explanation:
Find the value of 4/5 - 7/5 to its lowest terms
Answer:
Step-by-step explanation:
4/5 - 7/5
7-4/5
3/5
Or
4/5 - 7/5
4-7/5
-3/5
3(x+2)=62
find the correct solution
Answer:
[tex]\frac{56}{3}[/tex] or [tex]18\frac{2}{3}[/tex]
Step-by-step explanation:
First:
Divide both sides by 3 (you need to get x by itself)
[tex]\frac{3(x+2)}{3} = \frac{62}{3}[/tex]
Second:
Subtract both sides by 2
[tex]x+2 = \frac{63}3 -2[/tex]
And Finally just simplify
[tex]x = \frac{56}{3}[/tex]
or you can make it into a mixed fraction which is [tex]18\frac{2}{3}[/tex]
(just divide on the calculator)
A 6-month-old Sheltie puppy gets 2.5 cups of food twice per day.
Select the equation that describes how many cups of food she eats in terms of days.
A) y = x + 2.5
B) y = 2.5x
C) y = x + 5
D) y = 5x
Answer: D (y = 5x)
Explanation:
Read the question.
2.5 cups of food twice per day
Hence, y = 5x
Which best describes the character type of Curt Lemon in “The Dentist”?
stock character
foil character
dynamic character
flat character
Answer:
dynamic character
Step-by-step explanation:
Please i need help on math i need fast respond
luka invests $8000 at 6% interest for three years
what is the overall percentage increase if it is 6% compound interest?
why do people keep adding links instead of answering my? question
I know! It's kind if annoying tbh...
a=8 b=24 what is ab?
Answer:
Step-by-step explanation:
ab = 8 * 24
= 192
can someone please help me answer one of these? thank u sm if u help!! :)
Answer:
w = 28
x = 18
Step-by-step explanation:
To make the triangles congruent, the hypotenuse and leg need to be the same length.
5w +x -59 = -w +2x +91
4w+4x -92 = 2x +2w
These two equations can be written in general form by subtracting the right-side expression from both sides.
6w -x -150 = 0
2w +2x -92 = 0
The second of these equations can be divided by 2 to give ...
w +x -46 = 0
When that is added to the first equation, we have ...
7w -196 = 0
w -28 = 0
w = 28
Using this in our simplified second equation, we have ...
x = 46 -w = 46 -28
x = 18
_____
Additional comment
These values of w and x make the side lengths ...
UV = 2x -w +91 = 2(18) -28 +91 = 8 +91 = 99
UT = 2x +2w = 92 . . . . from 2nd equation
Using the Pythagorean theorem, this makes ...
TV = √(99^2 -92^2) = √1337 ≈ 36.57
