we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.
Let the cost of number of movies be x and the cost of number of video games be y.
So, the equations are:
5 x + 3 y = 39
2 x + 12 y = 75
2 x = 75 - 12 y
x = 75/2 - 6 y
Put it in the first one, we get that:
5 ( 75/2 - 6y) + 3y = 39
375/2 - 30 y + 3 y = 39
27 y = 187.5 - 39
27 y = 148.5
y = 148.5 / 27
y = $ 5.5
x = 75/2 - 6 y
x = 37.5 - 6 (5.5)
x = 37.5 - 33
x = $ 4.5
Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.
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Special Angle Pairs
Find m<1
Please help !
Special Angle Pairs, m<1, then the expression is,
(4x + 16)° = (2x + 34)° = 52° where, x = 9°
⇒ As shown in Graph,
⇒ (4x + 16)° is congruent to (2x + 34)°
⇒ Because they are vertical angles.
The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down.
These are vertical angles.
So,
We can write,
(4x + 16)° = (2x + 34)°
Calculate the equation,
(4x - 2x)° = (34 - 16)°
We can use sum or difference,
(2x)° = (18)°
We can divide the values,
(x)° = (18/2)°
x° = 9°
Hence,
x° = 9°
We can substitute x = 9° value in (4x + 16)° and (2x + 34)° expression,
So,
We can use,
= (4x + 16)°
= (4*9 + 16)°
= (36 + 16)°
= 52°
Therefore,
(4x + 16)° = 52°
We can use,
= (2x + 34)°
= (2*9 + 34)°
= (18 + 34)°
= 52°
Therefore,
(2x + 34)° = 52°
Hence,
Special Angle Pairs, m<1, then the expression is,
(4x + 16)° = (2x + 34)° = 52° where, x = 9°
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0.003 as a percentage.
Answer:
.3 %
Step-by-step explanation:
.003 x 100% = .3 percent
15 greater than y is at least 150
What is the inverse of conditional w > ~v?
Answer: (v,∞)
Step-by-step explanation: Please mark as brainliest
[GIVING BRAINLY] How is the answer D? If it's not D, can someone show an explanation
Answer:
D is the correct answer
Step-by-step explanation:
457 billion is
457,000,000,000
The decimal is at the end of the number. I want to put the decimal so that the number is one or larger, but less than 10
2.47 x [tex]10^{11}[/tex] If you count how many places I need to move the decimal from between the 2 and the 4 to where is should go in standard form. We need to move the decimal 11 places to the right. That is why the exponent is 11.
add to lowest terms
6 4/5 + 3 7/10
answer:
[tex]10 \frac{1}{2} [/tex]
HELP ME OUT PLEASE!!!!
What measurement is represented on the x-axis and what unit is it measured in?
The measurement that is represented on the x-axis is Time and the unit it is measured in is hours
MeasurementsFrom the question, we are to determine the measurement that is represented on the x-axis
On a cartesian plane, the x -axis is the horizontal line and the y-axis is the vertical line
In the given diagram,
The measurement that is shown on the x-axis (horizontal axis) is Time. It is measured in hours
and
The measurement that is shown on the y-axis (vertical axis) is Distance. the distance is measured in miles
Hence, the measurement that is represented on the x-axis is Time and the unit it is measured in is hours
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What decimal represents 6 multiple 1+3 multiple 1/10 +4 multiple 1/100
The decimal that represents the expression is 6.34
How to determine the decimal?The statement is given as
6 multiple 1+3 multiple 1/10 +4 multiple 1/100
Rewrite properly as
6 x 1 + 3 x 1/10 + 4 x 1/100
Evaluate the products
6 + 3/10 + 4/100
Express as decimals
6 + 0.3 + 0.04
Evaluate the sum
6.34
Hence, the decimal that represents the expression is 6.34
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Solve for x
3x = 4y
x-2=-3x + 14 find x please
Answer:
x = 4
Step-by-step explanation:
x -2 = -3x + 14 Add 3xs to both sides of the equation
4x - 2 = 14 Add 2 to both sides of the equation
4x = 16 Divide both sides by 4
x = 4
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The given problem instructs us to simplify for the variable x.}[/tex]
[tex]\textsf{\textbf{The first step is to add 2 to both sides:}}[/tex]
[tex].\qquad\leadsto\sf{x=-3x+\textbf{16}}[/tex]
[tex]\textbf{The next step is to add 3x to both sides:}[/tex]
[tex].\qquad\leadsto\sf{4x=\textbf{16}}[/tex]
[tex]\textsf{\textbf{The final step is to divide both sides by 4:}}[/tex]
[tex].\qquad\leadsto\sf{x=4}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
Please help !! Maurice walks 262 miles due south, then 168 miles due west and finally 422 miles due north. How
far is Maurice from his starting point?
miles
Maurice is a distance of 232 miles away from his starting point.
What is the final distance of Maurice from his starting point by using vectors and Pythagorean theorem?
Let suppose the existence of a coordinate system whose orthogonal axes are represented by north and east directions, which means that both north and east directions have positive signs. Then, the vector position of Maurice relative to his starting point is:
r = ∑ Δx i + ∑ Δy j
Where:
Δx - Net change in the east direction.Δy - Net change in the north direction.Then, the vector position of Maurice relative to his starting point is:
r = (- 168) i + (- 262 + 422) j
r = - 168 i + 160 j
And the distance is found by using the Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
r = √[(- 168)² + 160²]
r = 232
Maurice is a distance of 232 miles away from his starting point.
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The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side.
9 ≤ x ≤ 18
18 ≤ x ≤ 33
36 ≤ x ≤ 42
45 ≤ x ≤ 60
The solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
How to write and solve a compound inequality to show the possible lengths of the third side?The given parameters are
Range = 45 to 60 inches
Sides = 9, 18 and x
The sum of the three sides is
Sum = 9 + 18 + x
Evaluate
Sum = 27 + x
Recall that
Range = 47 to 60 inches
So, we have
45 ≤ 27 + x ≤ 60
Subtract through by 27
So, we have
18 ≤ x ≤ 33
Hence, the solution to a compound inequality to show the possible lengths of the third side is 18 ≤ x ≤ 33
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Last week, Abdul drove 211 miles. This week, he drove d miles. Using d, write an expression for the total number of miles he drove in the two weeks.
The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles
The total number of miles that Abdul drove in two weeks will be the sum of the miles that he drove in week 1 + week 2
If he drove 211 miles one week, plus "d" miles the second week,
Let's call the total number of miles driven in two weeks k.
The sum of both weeks will be the total number of miles Abdul drove in two weeks should be as follows.
Given
no of miles drove in last week is 211 miles.
no of miles drove in current week is d miles.
So the total number of miles drove by Abdul in two weeks are:
Total no of miles drove in two weeks is 211+d miles.
Hence,
The total numbers of miles drove by abdul in two weeks in terms of k is: k+211 miles
Then we can express the total as k = 211 + b.
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The equation 23+0.15p=c gives the cost c in dollars that a store charges to deliver an appliance that weighs p pounds. Use the equation and a table to find the weight of an appliance that costs $41 to deliver.
The weight of the appliance is 120 pounds.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
23+0.15p=c
where the cost c in dollars that a store charges to deliver an appliance that weighs p pounds.
Now for c= 41
23 + 0.15p= 41
0.15p= 41-23
0.15p= 18
p= 18/0.15
p=120 pounds
Hence, the weight of an appliance is 120 pounds
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7 less than the product of 2 and a number.
Answer: 2x-7
Step-by-step explanation:hope it helps, brainliest? i could really use it
The distance in feet that a ball rolls down an incline is modeled by s(t) = −2t^2 − 2 , where t is seconds after the ball begins rolling. Find its instantaneous velocity at t = 4 seconds.
Answer:
5
Step-by-step explanation:
because im a genious.
what is the first of four consecutive numbers if their sum is 2006
762/3=254... therefore, 762-254=508
So your fourth integer is 508
X/2<5c
Solve inequalities
The solution to the given inequality is x < 10c
Solving inequalityInequality are expression that are not separated by an equal sign. Given the inequality expression
x/2<5c
We are to determine the value of x from the inequality as shown;
Given
X/2<5c
Multiply both sides buy 2 to have:
X/2(2)<5c(2)
x < 5(2c)
x < 10c
Hence the solution to the given inequality is x < 10c
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D=33+31g. Determine the distance the car can travel using 4 gallons
Answer:
The distance d (in miles) you travel in a car is given by d=55t where t is the time (in hours)
The distance d (in miles) you travel in a car is given by d=20g where g is the number of gallons of gasoline the car uses.
1. Write an equation that relates g & t.
2. Solving for g.
=>
Hence,
3. You travel for six hours. How many gallons of gasoline does the car use
We will use this equation to solve the question.
Putting t = 6
g = 16.5 gallons
4. How far do you travel?
We can use equation here
miles
Step-by-step explanation:
this is what you wanted right?
The circumference of a circle is 188.4 ft. What is the area?
*explain in words*
Answer:
A≈2824.57ft²
Step-by-step explanation:
Area=πr2
Circumference=2r
A=C²=188.42≈2824.56734ft²
4π 4·π
Simplify the expression (3-4i) (6i+7) - ( 2-3i). Show your work and explain your steps You may not need every line below and you can add more lines if you do need them.
The value of the complex number expression (3 - 4i) (6i +7) - (2 - 3i) is 43 - 7i
How to simplify the complex number expression?The complex number expression is given as
(3 - 4i) (6i +7) - (2 - 3i)
Expand the bracket in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = (18i + 21 -24(-1) - 28i) - (2 - 3i)
Evaluate the like terms in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = (45 -10i) - (2 - 3i)
Remove the bracket in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = 45 -10i - 2 + 3i
Evaluate the like terms in the expression
So, we have
(3 - 4i) (6i +7) - (2 - 3i) = 43 - 7i
Hence, the value of the complex number expression (3 - 4i) (6i +7) - (2 - 3i) is 43 - 7i
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0.64 + 4/25 simplified
Answer: The answer is 1.44
Step-by-step explanation:
0.64 + 4/5...
1.) Convert your fraction to a decimal by dividing 5 into 4, this will give you 0.8.
2.) Add 0.64 and 0.8 together. (Make sure you line the decimals up)
It should look like this : 0.64
+0.80
____
3.) After you add them together, it equals out to 1.44
What should be added to 52 to get -79?
Answer:
-131
Step-by-step explanation:
52+-131=-79
Solve for c.
P=a+5+c
Answer:
c = P - a - b
Step-by-step explanation:
We are basically trying to get "c" by itself. If we ask ourselves what is with the "c" that we need to get rid of in order to have "c" by itself, we have a positive "a" and a "plus 5". To get rid of the positive "a" we subtract "a" from both sides. That leaves
P - a = 5 + c
To get rid of the "plus 5" we subtract 5 from both sides. That leaves
P - a - 5 = c
There are 25000 fans in a stadium watching
a game. A hotdog vendor sells $5006.5 worth
of hotdogs at $1.70 each.
What was the ratio of the hot dogs sold to
the number of fans?
Answer in units of hotdogs/fan.
Answer:5000 : 589
Step-by-step explanation: If A Hotdog Vendor Sells $5006.5 You would need do divide it by how much the hot dogs cost (1.70) 5006.5 divided by 1.70= 2945. So There are 2945 hot dogs and 25000 fans, which simplified would be 5000 fans : 589 hotdogs
Patty and Carol cach go for walks around a lake a few times per week. Last week, Patty walked7 miles more
"than Carol.
a. If e represents the number of miles Carol walked, write an equation that represents the total number of
miles T the two girls walked. (You may only use the variables c and T in your equation.)
b. If Carol walked 9 miles during the week, how many miles did Patty walk?
c. If Carol walked 11 miles during the week, how many miles did the two girls walk together?
Porfavor me urge :,3
(a) let number of miles Carol walked be e.
Patty walked 7 miles more than Carol.
Patty walked e + 7 miles.
Let total number of miles walked be T
that is how many miles Carol walked plus how many miles Patty walked
T = e + (e + 7)
(b) :Let number of miles patty walked be p.
p = e + 7
e = 9
P = 9 +7
P = 16
(c) T = e + (e + 7)
T = 11 + (11+7)
T = 11+18
T=29
a cube has side length of 8 inches. select all the values that represent the cubes volume in cubic inches. (6.ee.a.1)
Answer:
8 . 8 . 8
Step-by-step explanation:
Right answer
what percent of 55 is 11 ?
Answer:
20% try this I think this is the answer
Using the quadratic formula, solve 0 = 2x² - 10x + 7
Give each of your answers to 2 d.p.
Answer:
[tex] \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
0=2x²−10x+7
Step 1: Subtract 2x^2-10x+7 from both sides.
0−(2x²−10x+7)=2x²−10x+7−(2x²−10x+7)
−2x²+10x−7=0
For this equation: a=-2, b=10, c=-7
−2x²+10x+−7=0
Step 2: Use quadratic formula with a=-2, b=10, c=-7.
[tex] \sf \: x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
[tex] \sf \: x = \frac{ - (10)± \sqrt{ {10}^{2} - 4( - 2)( - 7) } }{2( - 2)} [/tex]
[tex] \sf \: x = \frac{ - 10 ± \sqrt{44} }{ - 4} [/tex]
[tex] \sf \: x = \frac{5}{2} + \frac{ ± 1}{2} \sqrt{11} [/tex]
Can someone help me with my work that is due tomarrow