Answer:
the value of y = 5
Step-by-step explanation:
One month Tom rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.
Answer:rental cost for each movie =$3.75 and for video games = $5.5
Step-by-step explanation:
Step 1 Let the cost of movie = x
and cost of video game = y
Cost at Ist Month for 6 movies and 5 video games for a total of $50 will be
6x+ 5y= $50------- Equation 1
Cost at 2nd Month for 2 movies and 3 video games for a total of $24 will be
2x+ 3y= $24-------- Equation 2
Step 2--- Solving
6x+ 5y= $50------- Equation 1
2x+ 3y= $24-------- Equation 2
Multiplying equation 2 by (3)
6x+ 5y= $50------- Equation 1
6x+ 9y= $72--------Equaton 3
subtracting equation 1 from equation 3
9y-5y=22
4y= 22
y=22/4= 5.5
Putting the value of y = 5.5 in equation 1
6x+ 5y= $50
6x + 5(5.5)= $50
6x =50-27.5
6x=22.5
x=22.5/6
x =3.75
Therefore rental cost for each movie =$3.75 and for video games = $5.5
Ari thinks the perfect milkshake has 333 ounces of caramel for every 555 scoops of ice cream. Freeze Zone makes batches of milkshakes with 666 ounces of caramel and 888 scoops of ice cream.
What will Ari think about Freeze Zone's milkshakes?
Answer:
Ari will think that Feeze Zone makes milkshakes with too much caramel.
Step-by-step explanation:
First off I took 3 ounces of caramel to 5 scoops of ice cream, which makes a ratio of 3/5.
Freeze Zone makes milkshakes with 6 ounces of caramel, so I multiplied the 3 and the 5 by two to get 6 ounces of caramel for the ratio.
once you multiply the ratio by two it becomes 6/10 and the milkshakes that Freeze Zone makes are 6/8, so they have more caramel than Ari likes.
Sorry if the explanation is a little confusing, I hope it helped :)
12x+y when x=3 and y=52
solve the equation 4x²+4x+1=0
Answer: x = -1/2
4x² + 4x + 1 = 0
⇔ (2x + 1)² = 0
⇒ 2x + 1 = 0
⇔ x = -1/2
Step-by-step explanation:
find angle sum therom
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Sum of the interior angles of any triangle is 180° .
Thus ;
[tex]y + 48° + 90° = 180°[/tex]
[tex]y + 138° = 180°[/tex]
Subtract sides 138°
[tex]y + 138° - 138° = 180° - 138° \\ [/tex]
[tex]y = 42°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Factor 28xy + 25 + 35x + 20y
HOPE THIS HELPS YOU...
Kiran says that -2 < -5 . Do you agree with Kiran
Answer:
No
Step-by-step explanation:
-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.
Answer:
no
Step-by-step explanation:
I took a test and this question was on it and the answer was no.
A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)
The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
Step-by-step explanation:
Given information:
[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]
[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]
[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]
[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]
Now,
If ,we take a right circular cone with radius r and height h , its volume
[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]
Now, the radius of cone when the volume of water tank is given
[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]
The ratio of height to radius of the cone :
[tex]\text {h/r} =3[/tex]
[tex]\text r = \text h/3[/tex]
Now calculate :
[tex]dV/dt= dV/dh \times dh/dt[/tex]
Which gives:
[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]
As ,
[tex]27=\frac{1}{27 \times h}[/tex]
[tex]\text h^3=27^2\\\text h= 9\\[/tex]
Now,
[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]
Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
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3. x + y = 15
X - y = 3
solving systems of equations
Answer: x=10 y=5 = 15xy
Step-by-step explanation:
CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?
Answer:
34
Step-by-step explanation:
Ohio had 20
14 votes less than Texas (20 + 14)
34 electoral votes Texas had in 2004.
~~~Hope this helps~~~
Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.
Amount she will save will be $140 - $126.65 = $13.35
the regular price of a shirt is $40 during a sale a discount of 20% is given calculate the amount a customer pays for d shirt
Answer:
$32
Step-by-step explanation:
0.8*40
HELP ASAP PLEASE THANKS! :))
Answer:
I believe the answer is p = -7/5
Step-by-step explanation:
Here's the equation and the workthru of my logic:
-5 (p + 3/5) = -4
Divide both sides by -5 to remove the -5 from the left side of the equation,
p + 3/5 = -4/5,
Subtract 3/5 from both sides to solve for p,
p = -4/5-3/5
p = -7/5
Solution is -7/5
Hope this helps.
Good luck!
Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.
Miles 34 ?
Hours 14 ?
miles per hour
Luis' speed in miles per hour is 136.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.
Because the measurement must be in miles per hour,
the time would be expressed in hours rather than minutes.
Speed = distance / time
Distance = 34 miles
Time = 15 minutes.
Speed = 34 ÷ 15 miles per minute.
Speed = 34 ÷ 1/4 miles per hour.
Now, speed = 34 x 4 miles per hour.
Therefore, Luis' speed is 136 miles per hour.
To learn more about the speed;
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Can someone plz help
One question only
I WILL CROWN BRAINLIEST
Which of the following BEST describes the domain of the relation graphed below.
Answer:
The answer is D.
Step-by-step explanation:
Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]
4/4-x = 5/4+x what is x
Answer:
-1/8
Step-by-step explanation:
MATH
Which question can be answered using the expression 1/3÷ 3/4
Answer:
Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?
Step-by-step explanation:
Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.
Good luck!
The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take
Word problems involving equationsAlgebraic equations are ways we can solve real life apllications.
Given the division problem
1/3÷ 3/4
This can be written usng this statement:
The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take
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The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.
Answer:
Step-by-step explanation:
the formula for calxulating the area if the isosceles triangle is expressed as;
[tex]A = \frac{1}{2}bh[/tex]
b is the base of the triangle
h is the altitude
Given
b = 16ft
h = 10ft
Substitute
A = 1/2 * 16 * 10
A = 8*10
A = 80ft²
Hence the area of the triangle is 80ft²
b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side
s² = h²+(b/2)²
s² = 10²+(16/2)²
s² = 10²+(8)²
s² =100+64
s² =164
s = √164
s = 12.8ft
Hence one side of the triangle is 12.8ft
List the parts that are congruent based on the markings. Be sure to label properly!
Please helppp. I’ll give brainliest!
Answer:
Angles T and W are congruent to each other. Angles U and X are congruent to each other.
Step-by-step explanation:
0.0000000043 estimated to the power of ten
Answer:
4.3 x 10^-9
Step-by-step explanation:
Convert to base 10 and move decimal 9 to right
Who here is amazing at math and is willing to help me every time I need help with math?!
Answer:
Me
Step-by-step explanation:
Because I am really good at math
If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?
-7/3
Step-by-step explanation: is the answer for odyssey ware
Use the drop-down menus to completel the statements about the triangle shown.
Answer:
The legs are a and b, the hypotenuse is c
Step-by-step explanation:
The legs of a right triangle are the two smaller sides. The hypotenuse is the longest side it is also always opposite of the 90-degree angle. If you need to find the lengths of sides remember the Pythagorean theorem, .
Answer:
yes the person above me is correct .
Step-by-step explanation:
good job :)
what's (+6) + (+48) ?
Answer:
54
Step-by-step explanation:
80÷1.94≈
Please help me
Answer:
[tex]\frac{80}{1.94}[/tex]
Step-by-step explanation:
80 ÷ 1.94 = [tex]\frac{80}{1.94}[/tex]I hope this helps!
Could someone explain how to solve this for me?
The answer it's 95o UwU
1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces
Answer:
224 ounces
Step-by-step explanation:
help will give brainly and pts.
11 What is most likely the equation of the graph below?
Answer:
f(x) = |x + 2|
General Formulas and Concepts:
Transformations Graph: f(x) = a|bx - c|+ d
a = vertical shrink/stretchb = horizontal shrink/stretchc = horizontal movement left/rightd = vertical movement up/downStep-by-step explanation:
Step 1: Define
We see a transformation from a parent function of the absolute value.
Parent Graph: f(x) = |x|
Step 2: Find equation of graph
We see the transformation moving horizontally 2 units to the left.
c = -2
f(x) = |x + 2|