0.0004732
12/ 25358
answer depends if you want to round it
Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?
Determine the solution to the following system of equations.
y = -2x2 + 4x + 8
y = -4x + 16
Answer: (2, 8)
Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.
Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.
Therefore, the solution to the given system of equations is (2,8).
The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
⇒ y = - 2x² + 4x + 8
⇒ y = - 4x + 16
Now,
Since, The system of equations are,
⇒ y = - 2x² + 4x + 8 ..(i)
⇒ y = - 4x + 16 ..(ii)
Substitute the value of y from (ii) in equation (i), we get;
⇒ - 4x + 16 = - 2x² + 4x + 8
⇒ - 2x² + 4x + 8 + 4x - 16 = 0
⇒ - 2x² + 8x - 8 = 0
⇒ - x² + 4x - 4 = 0
⇒ x² - 4x + 4 = 0
⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1
⇒ x = 4 ± √16 - 16 / 2
⇒ x = 4 / 2
⇒ x = 2
And, y = - 4x + 16
⇒ y = - 4 × 2 + 16
⇒ y = - 8 + 16
⇒ y = 8
Thus, The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
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HELP GEOMETRY PLEASE !!!!
Answer:
∅ = 37°
Step-by-step explanation:
cos ∅ = adj/hyp = 4/5 = 0.8
∅ = 37°
It would take 150 minutes to fill a swimming pool using the water from 5 taps.
A) how many minutes will it take to fill the pool if only 3 of the taps are used? ______ minutes
B) an assumption being made in my working is that all the taps are flowing the same__ ___
Answer: points for points
Step-by-step explanation:
Hi t sure what to do?
can someone help me with this one 2x2-18=0
Answer:
-14
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
2x-18=0
2x=18 /:2
x=9
4 What is the slope of the line represented by the
table of values below?
Answer:
(c) or 10 is the answer
Step-by-step explanation:
In order to find slope you have to follow the formula
(y2-y1) / (x2-x1)
That would give you the slope which in this case is 10.
Pls help?!?!? With this
Answer:
7 buses. 52÷ 8 = 6.5 so rounding up to 7
In 2000 there were about 2172000 farms in the United States twenty four thousand of the farms were in South Carolina what percent of the farms were in South Carolina
Answer:
the percentage of the farms were in SOuth caroline is 1.10%
Step-by-step explanation:
The computation of the percentage of the farms were in SOuth caroline is shown below:
= NUmber of farms in south carolina ÷ number of farms in united states
= 24000 ÷ 2172000
= 1.10%
Hence, the percentage of the farms were in SOuth caroline is 1.10%
We simply used the above formula so that the percentage could come
Find m
Complete the equations below. please please
Answer:
364 hundredths÷7
Step-by-step explanation:
3.64=364/100= 365 hundredths
Jimmy is comparing prices of bottled drinks. He finds one bottle of water that costs $1.65 and contains 11 ounces. He then finds one bottle of soda that costs $2.52 and contains 14 ounces. Which bottle costs less per ounce?
Answer:
The bottle that costs less per ounce is the 11 ounce
Step-by-step explanation:
First you have to divide each ounce by the cost to find out how much each ounce costs.
1.65 divided by 11 is 0.15 and 2.52 divided by 14 is 0.18.
Hope this helps!
find the value of x
2x−3=5
Answer:
x=4
Step-by-step explanation:
5+3 =8
8/2 = 4
factor 4 in...
(2x4)-3=8
Answer:
X=4
Step-by-step explanation:
PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.
Find the circumference and the area of circle with diameter 6ft. Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Circumference:
Area:
Answer:
Area: 28.26ft², Circumference: 18.84ft
Step-by-step explanation:
Area of a circle: πr²
Circumference of a circle: πd (or 2πr)
Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:
πr²
π(3)²
π(9)
9π
9(3.14)
28.26ft²
Our circumference is:
πd
π(6)
6π
6(3.14)
18.84 ft
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
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The volume of a sphere can be found using the formula: v = 47. Find the volume of a sphere if
3
the radius is 12.5 cm. Round your answer to the nearest cm.
im totally NOT giving away points and this totally IS a real question so pls help (jkjk)
Answer:
Super Hyper Ultra Ultimate Deluxe Perfect Amazing Shining God 東方不敗 Master Ginga Victory Strong Cute Beautiful Galaxy Baby 無限 無敵 無双 senchou here, thank you for the points :D
Step-by-step explanation:
What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14
Answer:
C
Step-by-step explanation:
EDGE
y = x2 + 12x + 30
8x − y
can someone do this and explain how you did it with the formula and stuff.
Step-by-step explanation:
Chop it into shapes you know how to solve with:
Rectangle with dementions 6m x 3m A=18m^2
Rectangle with dementions 12m x (8-3)m A=60m^2
Rectangle with dementions 2m x 3m A=6m^2
total area= 18+60+6=84m^2
Peremeter:
12+6+2+(12-6-2)+3+3+8+8
=12+12+3+3+8+8
=24+6+16
=30+16
=46m
Jose reads his book at an average rate of 2.5 pages every four minutes. If Jose continues to read at exactly the same rate what method could be used to determine how long it would take him to read 20 pages?
Answer:
B
Step-by-step explanation:
Reference angle of 2/15 pi
Answer:
Add
2
π
to
−
15
π
2
.
−
15
π
2
+
2
π
The resulting angle of
−
11
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
11
π
2
Add
2
π
to
−
11
π
2
.
−
11
π
2
+
2
π
The resulting angle of
−
7
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
7
π
2
Add
2
π
to
−
7
π
2
.
−
7
π
2
+
2
π
The resulting angle of
−
3
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
3
π
2
Add
2
π
to
−
3
π
2
.
−
3
π
2
+
2
π
The resulting angle of
π
2
is positive and coterminal with
−
15
π
2
.
π
2
Step-by-step explanation:
zorry if im wrong
Daniel has 54/3 CUPS of ice in the ice maker to use to make smoothies for his friends. He uses 2/3 of ice for each smoothie. How 3 cups many friends can have a smoothie?
Answer:
27
Step-by-step explanation:
i might be wrong if I'm wrong try 9 as the answer
Answer:
i think 9 i might be wrong
Step-by-step explanation:
Guys pls help me!!!!!!!! (It’s not c)
Answer:
The answer is D .
Step-by-step explanation:
Hope it was helpful .
14. The Garcia family had dinner at a local restaurant. The total bill was $45. They want to
leave a 20% tip. How much will they leave for the tip?
a.
$4.00
b. $5.00
c. $9.00
d. $20.00
infine
Answer: c. $9.00
Step-by-step explanation:
45 x .20 = 9.00
1. Find the AREA of the circle.
Answer:
Step-by-step explanation:
If you leave π as π, it should be 169π square feet
If you do π as 3.14, it should be 530.66 square feet.
If you do π as 22/7, it should be 531 1/7 square feet.
Hope that helps! :)
At the start of a hike, a hiker was at an elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 feet per minute. a. Write an inequality that represents t, the number of minutes after the start of the hike, when the hiker’s elevation was higher than 5 feet above sea level.
Answer:
15t - 50 > 5Step-by-step explanation:
Initial point = -50 ftClimbing rate = 15 ft / minTime = tRequired inequality:
15t - 50 > 5Solution:
15t > 55t > 55/15t > 3 10/15 = 3 40/60 min = 3 min 40 secondsAnswer:
Solution given:
Initial point = -50 ft
Climbing rate = 15 ft/min
Time = t(let)
So Required inequality:
15t-50 > 5
adding 50 on both term
15t> 55
dividing both term by 15
t > 55/15
t> [tex] 3 \times \frac{10}{15} [/tex]=
[tex] 3 \times \frac{40}{60} [/tex]= 3 min 40seconds is your answer
Which of the following shapes describes the 2d figure formed by slicing parallel to the base of a triangular prism
a. rectangle
b. triangle
c. square.
d.trapizoid
Answer:
c. square.
Step-by-step explanation:
squares have 4 parallel sides so if you cut it in half you will still be parallel
The 2D figure formed by slicing parallel to the base of a triangular prism is option B. Triangle.
What is a Triangular Prism?Triangular prism is the three dimensional figure which consists of two triangular shaped bases and three rectangular lateral faces.
WE have to find the 2d figure formed by slicing parallel to the base of a triangular prism.
We know that base of a triangular prism is triangle.
So, when we slice a parallel plane to the base of the triangular prism, the resulting 2D shape will also be a triangle.
Hence the 2D shape formed by slicing parallel to the base of a triangular prism is triangle.
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A doctor has an annual income of $152,125. The income tax that doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?
9514 1404 393
Answer:
$9,127.50
Step-by-step explanation:
6% of $152,125 is ...
0.06 × $152,125 = $9,127.50
The doctor has to pay $9,127.50 in income tax.
8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|
Answer:
|8|a + |35| or = |-8|a+|-35_|
Step-by-step explanation:
8(a+5)=8•a+8•5
=8a+35
= |8|a + |35| or = |-8|a+|-35_|