In 5 days the total rental charge is the same for each store.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
A movie store rents a game machine for $12.50 plus $1.50 per day. The downtown store rents the same machine for $4 per day with no initial fee.Let x be the days. The two-equation will be formed as:-
Total amount = 1.5x + 12.5
Total amount = 4x
For the same total amount, we will equate the two equations.
1.5x + 12.5 = 4x
12.5 = 4x - 1.5x
12.5 = 2.5x
x = 12.5 / 2.5
x = 5 days
Therefore In 5 days, the total rental charge is the same for each store.
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The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?
PLEASE HELP! 20 POINTS!! PIC ATTACHED :)
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION !!
3 √5 + 15 √5
Answer:
18√5 or Decimal Form: 40.24922359…
Step-by-step explanation:
Which fraction is equal to 0.370 (with the line over 370)
A. 37/100
B. 370/999
C. 37/99
D. 37/9
=========================================================
Explanation:
Let x = 0.370370370...
The "370" block repeats forever, due to the horizontal bar up top.
Multiply both sides by 1000 so that the decimal point moves three spots to the right.
x = 0.370370370...
1000x = 1000*0.370370370...
1000x = 370.370370370...
Then notice both x and 1000x involve the *exact* same decimal string of "370" repeating forever. This perfect match lets us cancel the decimal portions out when we subtract, and allows us to isolate x to get some fraction of integers.
1000x - x = 370.370370370... - 0.370370370...
999x = 370
x = 370/999
You can use your calculator to confirm that 370/999 = 0.370370370...
----------------
In fact, you can use your calculator to determine the following:
A) 37/100 = 0.37
B) 370/999 = 0.370370370...
C) 37/99 = 0.373737...
D) 37/9 = 4.1111111....
This allows us to see fairly quickly that choice B is the final answer and that we can rule out the others.
----------------
Side note: your calculator may round the last digit by mistake.
Please help me out! Need this done ASAP!
Answer:
a. power of a point
b. CE = 4.6
Step-by-step explanation:
a. the power of a point theorem states that BE*BC = BA*BD
b. using the equation above, find CE:
BE * 10 = 3 * 18
BE = 5.4
CE = BC - BE = 10-5.4 = 4.6
diring the repair the mechanics will need to connect a cable between chairs b and j, and then continue that cable to chair g. what is the anhle formed by the cable
The angle that will be formed by the cable based on the information given will be 15°.
How to calculate the angle?From the complete information, it's important to divide the total angle by 12. This will be:
= 360°/12 = 30°
Then, the relations that will be used will be:
= 1/2(60° - 30°)
= 1/2 × 30°
= 15°
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A survey asked 200 Grade 4 students about their reading preferences. Based on Graph #1, about how many of them would you expect prefer comic books?
I aded the graph
Answer:
D. 80
Step-by-step explanation:
The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.
200 × .375 = 75
75 rounded to the nearest tens value is 80
A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation 23 + 6,2 - 27x= 140 can be used to find x. Height: (x+9) in. Width: (2 - 3) in Length: xin. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer. O The length is 7 inches, the width is 4 inches, and the height is 16 inches. O The length is 5 inches, the width is 2 inches, and the height is 14 inches. O The length is 4 inches, the width is 1 inch, and the height is 13 inches. O The length is 3 inches, the width is O inches, and the height is 12 inches.
For this case we have the following equation for the volume:
[tex]x^3+6x^2-27x=140 < br/ >[/tex]
Rewriting the equation we have:
[tex]x^3+6x^2-27x=140=0 < br/ >[/tex]
We factor the equation to find the roots of the polynomial.
We have then:
[tex](x-5)(x+4)(x+7)=0 < br/ >[/tex]
Then, we discard the negative roots, because the dimensions of the figure must be positive.
We have then that the length is:
[tex]x=5 < br/ >[/tex]
The height is:
[tex]x+9=5+9=14 < br/ >[/tex]
The width is:
[tex]x-3=5-3=2 < br/ >[/tex]
Thus, the dimensions are:
[tex]5*14*2 < br/ >[/tex]
Answer:
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
A shirt that was selling for $80 is reduced to $60. Find the percent decrease in price.
Answer:
25% decrease
Step-by-step explanation:
Percentage Decrease = [(Start Value - Final Value) / |Start Value|]×100
80 - 60 = 20
20 / 80 = 0.25
0.25(100)= 25%
I need help with part 2 on this question (Screenshot)
Can you please help me at
a=3/5 b=4/5 c=?
Answer:
a=3/5 , b=4/5. ,.
c=5/5
c=5/5
=1
James is given the diagram below and asked to prove that ZD ZF. What
would be the missing step of the proof?
Given: DE = FE, and Eo forms the angle bisector of ZDEF.
Prove: ZD ZF
E
D
o
Reasons
Given
Statements
1. DEFE, EO forms the angle
bisctor of ZDEF
2.
3. EO EO
4. ADEO AFEO
5. ZD ZF
Definition of an angle bisector
Reflexive Property of Equality
SAS Congruency Theorem
Corresponding parts of congruent
triangles are congruent
O A. ZEDO ZEDO
O B. ZEDO: ZEFO
O C. ZDEO = ZFEO
O D. ZEOF ZEOD
Answer:
C, ∠DEO ≅ ∠FEO
Step-by-step explanation:
The bisector EO bisects the angle ∠DEF, an interior angle of ΔDEF.
This means the angle is divided into 2 equal angles.
⇒ ∠DEO ≅ ∠FEO
Find the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm
Answer:
0.52cm2
Step-by-step explanation:
l of Arc =tita/360×2πr
15/360×2×22/7×2
X=-3
A. 64
B. 8
C. 4
D. 16
Answer:
The answer is A.
Step-by-step explanation:
I took the test
It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
Answer
18 hours
Step-by-step explanation:
if 10 people spend 15 hours
one person spend 15/10=1.5
so 1.5 × 12=18hours
At a park, the logging trail is a circle with a radius of 200 meters. how far is it around the trail? use 3.14 or pi. show your work
Answer:
400π
Decimal Form:
1256.63706143
Explanation: To find the around the trail, you'll use the circumference formula.
2πr
2 x 3.14 x 200
Tickets to the play cost $5.00 for adults and $3.00 for kids. The play sold 20 tickets for a total of $76. How many kids and adults attended the play?
The number of adults =16 and the number of kids =4
Is it possible to draw a triangle with side
lengths 6, 3, and 5?
Yes..
Add 2 sides together and if it’s larger than the 3rd side it’s possible
6 + 3 = 9, which is larger than 5
3 + 5 =8 which is larger than 6
6 + 5 = 11 which is larger than 3
Answer:
YESStep-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
so
6+3=9
6+5=11
3+5=8
yes it is possible
The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.
Given that P(A or B) = 13, P(A)= 14, and P(A and B) = 18…. find P(B)
struggling with this could use some help + work explination, i havent been to class in weeks!
The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Here is the formula for the probability of an exclusive event:-
[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]13=14+P(B)-18[/tex]
[tex]P(B)=17[/tex]
hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
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6a-2y>4
Solve inequality for y
the number of ducks living at the pond increased by 40%
1. The first bus stop on a bus route is 4 miles from school. How
many yards is the first bus stop from school?
2040 yards
Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.
The statements that can be used to compare the characteristics of the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to interpret the functions?From the table of values (see attachment), we have the following highlights:
f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.The above highlights mean that, the true statements are b and d
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Answer:Its B,D
Step-by-step explanation: Yes
Which one of these numbers is a composite number a.17 b.51 c.97 d.89
Step-by-step explanation:
The correct answer here is 51
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Which one of these numbers is a composite number: 17, 51, 97, or 89?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Composite numbers are divisible by 3 or more numbers.
17 is divisible by 1 and 17 only, so it's not composite.
51 is divisible by 1, 51, 3, and 17, so it's composite.
97 and 89 are divisible by two numbers only, so they are not composite.
So we conclude that the answer is
51
Good luck with your studies.[tex]\rule{300}{1}[/tex]
What is the percentage of 20 from 400?
(20/400)×100
5%
hope it helps...!!!
Answer:5%
Step-by-step explanation:
40 is 10% so then you half that which is 20=5%
The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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So I have a 90.8 in a class the final is 15% of the grade there is a final worth 3.75% of the final grade and a final worth 11.25% of the final grade. I know I have to get a 87% in total on the final grade but what grade would I have to get on each test separately. What would be the worst possible grade I could get on both finals to still end up with a A.
Answer: I know this answe won't be that helpful but I'm pretty sure worsth you can get on both is like a high B. Its pretty hard to tell since you'll be dealing with like formative summative precentages and total point precentages or something But in my honest opinion seems like a high B on one and maybe like a 83-84 on the other.
7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?
A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the selling price of the computer notebook be represented by x.
Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.
Also, the saving she made by buying this week will be $150, therefore, we can write,
x-0.84x = $150
0.16x = $150
x = 937.5
Hence, the regular selling price of the computer notebook will be $937.5.
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Determine the period.
Acellus
Explanation:
One root (aka x intercept) is at x = 0
The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5
After this point, the curve repeats itself. This means the period is 5 units.
The graph repeats itself every 5 units, aka the cycle is 5 time units long.
