It’s the end of the soccer season and all equipment at the Sports Stop is on sale. What is the sale price of a soccer ball that regularly sells for $28? (ANSWER THE QUESTIONS BELOW)("Ticket",The Sports Stop: All soccer equipment is on sale for 20% OFF the regular price!)
What does “20% off the regular price” mean? How do you write 20% as a decimal ?What is the regular price of the soccer ball? How would you find 20% of the regular price? What would you do with this amount to find the sale price? What is the sale price? Summarize the steps you would take to find the sale price given the regular price and a percent discount.
Answer:
22.4
Step-by-step explanation:
0.2*28=5.6
28-5.6=
If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
18
2
1 half
1
6
Answer:
x = 18
Step-by-step explanation:
difference between y = 12, x=72 is 6
so if y = 3 then multiply 3×6 = 18
Answer:
18
Step-by-step explanation:
A commercial airplane is flying at an elevation of 15,000 feet and ascends to an elevation of 20000 feet at a rate of 1250 feet per minute. How many minutes does this ascent take?
Answer:
4 minutes
Step-by-step explanation:
Put it into an equation
20000 = 1250x + 15000
Subtract 15000 from both sides
5000 = 1250x
Divide both sides by 1250
4 = x
3 is what percent of 50
Answer:
6%
Step-by-step explanation:
3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%
Please help!!
Select the correct answer.
Consider functions f and g.
f(x)= square root 2x+2
g(x) = x^2-2/2
Which statement is true about these functions?
See in photo
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]
Get the composite function g(h(x))
[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
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1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO
Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.
Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the formula is used to find the distance covered on each tour, hence:
[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]
[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]
[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]
[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]
Then, the total distance is given by the sum of each separate distance, hence:
[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]
The total distance covered on the tour is of 3400 miles.
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Eight squared plus B squared equals 14 squared
[tex]8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}[/tex]
Mrs. Byrne washed
2
7
of her laundry. Her son washed
1
4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
Mrs. Byrne washed more
Step-by-step explanation:
Help Me!
Refer To The Attachment
NOTE: Only for best users like Itz0kaul,Mscute, Mhanifa etc.
Spams Not allowed
Need answer with explanation
If you don't know the answer don't answer.
Thank You!
Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps !!Trigonometric identities are used to prove or disprove trigonometric ratios
The trigonometry identity is given as:
[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]
Simplify the trigonometry identity, as follows:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
This is so because:
[tex]\cos(\pi + x) = -\cos(x)[/tex]
[tex]\cos(-x) = \cos(x)[/tex]
[tex]\sin(\pi -x) = \sin(x)[/tex]
[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]
So, we have:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
Evaluate the products
[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]
Cancel out the common factors
[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]
Rewrite the trigonometry identity, as follows:
[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]
In trigonometry,
[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]
So, we have:
[tex](\cot(x))^2 = \cot^2x[/tex]
Remove the bracket
[tex]\cot^2x = \cot^2x[/tex]
The above equation is true.
Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved
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Define a variable and write an expression for the phrase. 7 less than a number
Answer:
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Solve the system of equations.
y=5x+9
y=8x-6
Answer:
(5,34)
Step-by-step explanation:
For what values of x: Is the binomial 7x+1 equal to the trinomial 3x2−2x+1?
Answer:
x = 0 , x = 3
Step-by-step explanation:
Equate the 2 expressions and solve for x
3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )
3x² - 9x = 0 ← factor out 3x from each term
3x(x - 3) = 0
Equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 3 = 0 ⇒ x = 3
Gabriella earns $17 an hour and gets a 15%
raise. With her raise, how much will she earn after working 40 hours?
A. $680
B. $702
C. $782
D. $796
c: 782 dollars
.15 times 17 is 2.55
17+2.55= 19.55
19.55 times 40=782
What are the lengths of the major and minor axes of the ellipse?
(x−3)^2/18 + (y+4)^2/32=1
[tex] \: \: \: \: [/tex]
[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]
refer to the attachmenthope it helpsThe length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
What is an ellipse?
The standard form of the ellipse is defined as;
x² / a² + y² / b² = 1
Where, a < b
Minor axis of the ellipse = 2a
And, Major axis of the ellipse = 2b
Given that;
The equation of the ellipse is,
(x−3)² / 18 + (y+4)² /32 = 1
Now,
We can compare with the standards form of an equation of ellipse, we get;
a² = 18
a = √18
And, b² = 32
b = √32
Clearly, √18 < √32
That is; a < b
So, The minor axis of the ellipse = 2a
= 2√18
And, The major axis of the ellipse = 2b
= 2√32
Therefore,
The length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
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The Johnson family pays $19.75 at the game for 3 ice cream cones and 4 funnel cakes. The Duke family pays $35.25 at the same game for 5 ice cream cones and 8 funnel cakes. How much does a funnel cake cost? How much does an ice cream cone cost?
Answer:
$1.75 cost of the funnel cake and $4.25 cost of the ice cream cone.
Step-by-step explanation:
x = cost of the ice cone cone
y = cost of the funnel cake
3x + 4y = 19.75 multiply (-2) ⇔ -6x - 8y = -39.50
5x + 8y = 35.25 do not change ⇔ + 5x + 8y = 35.25
-x = -4.25
x = 4.25 cost of the ice cream cone
Substitute into the second equation x = 4.25 and solve for y
5(4.25) + 8y = 35.25
21.25 + 8y = 35.25
8y = 14
y = 1.75 cost of the funnel cake
PLS ANSWER
AND I WILL MARK AS BRAINLIST
Answer:
72
Step-by-step explanation:
Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..
Brainliest would be appreaciated! :-)
Solve for y 8x - 7y = 23
[tex]8x - 7y = 23 \\ 8x - 23 = 7y \\y = \frac{8}{7} x - \frac{23}{7} [/tex]
The solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
How to solve an equation for its variable?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.
The given expression is,
[tex]8x - 7y = 23[/tex]
The expression has two variables, x and y. To solve it for y, subtract 8x from both sides,
[tex]8x - 7y -8x= 23-8x\\-7y=23-8x[/tex]
Divide with number 7 both sides and change the sign of the equation,
[tex]y=-\left(\dfrac{23-8x}{7}\right)\\y=\dfrac{8x-23}{7}\\y=\dfrac{8}{7}x-\dfrac{23}{7}[/tex]
Thus, the solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
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A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?
Answer: 303.870087962229
Simplify ≈303.87
Step-by-step explanation:
Grows 9.5%→r=0.095 Divide by 100
Grows every 2 decades: exponent of t2
(where t is in decades)
Write a function:
f(t)=240(1+0.095) ^t/2 Percent change every 2 decades
52 years→52/10→5.2 decades There are 10 years in a decade
Plug in t=5.2
f(5.2)=240(1+0.095) 5.2/2
Answer: 303.870087962229
≈303.87
Round to the nearest hundredth
Someone plz help me :(
Answer:
c
Step-by-step explanation:
when we add 0 to x ,it remains x.
x+0=x
0 is additive identity.
Answer:
C
Step-by-step explanation:
z/3 <= 3
solve for z
Answer:
assuming <= is less than or equal to
then z/3 is less than or equal to 3
z had to be less than 9
Are these lines parallel explain?
22 of the 30 students in Evan's grade have a pet. What is the ratio of the number of students who do not have a pet to the number of students who have a pet?
Answer:
8 to 22
Step-by-step explanation:
if there are 22 people that have a pet whens there is 30 students in total, you have to do, 30-22, and 30-22=8 meaning there are 8 students who don't have pets.
And if already says 22 students have pets, therefore the answer is
8 to 22
8:22
Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answer:
see attached
Step-by-step explanation:
The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.
__
Additional comment
We don't have access to your segment tool, so you will have to copy the graph.
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
Please help.. I am stuck !
someone please help me
Answer:
Area = 6cm^2
Step-by-step explanation:
Pythagorean Theorem = [tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]a^{2} + 3^{2} = 5^{2}[/tex]
or
[tex]a^{2} + 9 = 25[/tex]
Subtract 9 from 25.
25 - 9 = 16
Square root 16 to get 4.
a = 4
Now to find the area.
Area = 1/2(3*4)
12/2 = 6
A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.
Answer:
12.5 hours
Step-by-step explanation:
[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]
The student worked for 12.5 hours.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A student earns $8 per hour plus a $15 bonus each weekend day worked.
Now, let the student works for h hours.
So, the earning would be= 15+ 8h
As, he earned $115
So, 15+ 8h= 115
8h = 100
h = 12.5 hours
Hence, the student worked for 12.5 hours.
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Find
Area of triangle when base is 4cm and angles 60 and 70
Answer: Area = 6.64966
Step-by-step explanation:
David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save
Answer:
26
Step-by-step explanation:
130-20%=104
25% of 104 is=26
What is the answer to this?
Answer:
[tex]\frac{12}5[/tex]
Step-by-step explanation:
The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]
We know
[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]
