Answer:
Price before discount = $20 per keyboard
Price after discount = $18 per keyboard
Before the discount, you can buy 27 keyboards. After the discount, you can buy 30 keyboards.
===============================================
Work Shown:
k = cost of one keyboard before the price reduction
540/k = amount of keyboards purchased before the price reduction
k-2 = cost of one keyboard after the price reduction
540/(k-2) = amount of keyboards purchased after the price reduction
540/(k-2) = (540/k) + 3
--------------
If you multiply both sides by the LCM k(k-2), then you'll clear out the fractions and we can solve for k like so
540/(k-2) = (540/k) + 3
540k = 540(k-2) + 3k(k-2)
540k = 540k - 1080 + 3k^2 - 6k
0 = 540k - 1080 + 3k^2 - 6k - 540k
0 = 3k^2 - 6k - 1080
3k^2 - 6k - 1080 = 0
3(k^2 - 2k - 360) = 0
k^2 - 2k - 360 = 0
(k - 20)(k + 18) = 0
k-20 = 0 or k+18 = 0
k = 20 or k = -18
We ignore the negative result because a negative price doesn't make sense.
--------------
If k = 20, then
540/k = 540/20 = 27
Meaning that you can buy 27 keyboards before the price reduction
In other words, (27 keyboards)*(20 dollars per keyboard) = 540 dollars total.
After the price reduction, the cost per keyboard is now k-2 = 20-2 = 18
We can now buy 540/(k-2) = 540/18 = 30 keyboards, which is an increase of 30-27 = 3 extra keyboards. This helps confirm we have the correct answer.
Answer:
$20
Step-by-step explanation:
X: the price of a keyboard
Y: number of keyboards to buy (original)
The shop owner spent $540 to purchase a stock of computer keyboards, so:
XY=540
⇒X=540/Y
If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards:
(X-2)(Y+3)=540
⇒3X-2Y=6
⇒3.540/Y – 2Y=6
⇒Y=27
⇒X=20
⇒ the price of one keyboard: $20
The distance between points A and B is?
Answer:
√85
Step-by-step explanation:
A (-3 , 4) B (4 , -2)
AB² = (4 - -3)² + (-2 -4)² = 49 + 36 = 85
AB = √85
Please help me as fast as you can
Answer:
0.99
Step-by-step explanation:
divide 6.93 by 7.
= 0.99
Step-by-step explanation:We have the equation:
6.93 ÷ 7 = ?
[tex]\left[\begin{array}{ccccccc}&&0.&9&9\\7&&6.&9&3\\&&-&6&3\\\left&&&&6&3\\&&&-&6&3\\&&&&&0\end{array}\right][/tex]
0 . 9 9 ↑ 7 6 9 3 −6 3 ↓ 6 3 −6 3 0can someone pls help for brainlest
Answer:
6 x 8 = 48 yd2 (square yards)
Step-by-step explanation:
Answer:
Area of triangle is 23 yd².
Step-by-step explanation:
Given :-
Base of triangle = 8 yd
Height of triangle = 6 yd
To find
Area of triangle
Solution :-
we know that,
Area of triangle = 1 / 2 × base × height
substitute the values
Area of triangle = 1/2 × 8 yd × 6 yd
multiplying the values
Area of triangle = 1/2 × 46 yd²
divide the values
Area of triangle = 46 yd ² /2 = 23 yd².
Therefore, Area of triangle is 23 yd ².
Someone please help me with this lol… have no idea what I’m doing
Given:
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
To find:
The quadrant of the terminal side of [tex]\theta[/tex] and find the value of [tex]\sin\theta[/tex].
Solution:
We know that,
In Quadrant I, all trigonometric ratios are positive.
In Quadrant II: Only sin and cosec are positive.
In Quadrant III: Only tan and cot are positive.
In Quadrant IV: Only cos and sec are positive.
It is given that,
[tex]\cos \theta =\dfrac{3}{5}[/tex]
[tex]\sin \theta <0[/tex]
Here cos is positive and sine is negative. So, [tex]\theta [/tex] must be lies in Quadrant IV.
We know that,
[tex]\sin^2\theta +\cos^2\theta =1[/tex]
[tex]\sin^2\theta=1-\cos^2\theta[/tex]
[tex]\sin \theta=\pm \sqrt{1-\cos^2\theta}[/tex]
It is only negative because [tex]\theta [/tex] lies in Quadrant IV. So,
[tex]\sin \theta=-\sqrt{1-\cos^2\theta}[/tex]
After substituting [tex]\cos \theta =\dfrac{3}{5}[/tex], we get
[tex]\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}[/tex]
[tex]\sin \theta=-\sqrt{1-\dfrac{9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{25-9}{25}}[/tex]
[tex]\sin \theta=-\sqrt{\dfrac{16}{25}}[/tex]
[tex]\sin \theta=-\dfrac{4}{5}[/tex]
Therefore, the correct option is B.
A calculator which is marked at $120 is sold for cash at a 30% discount. How much change would Susan receive if she pays for the calculator with a $100 bill?
Answer:
64 dollars
Step-by-step explanation: 120×30%= $36-$100= $64
She receives $16 when she pays for the calculator with a $100 bill
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A calculator which is marked at $120 is sold for cash at a 30% discount.
So, It was sold for 70% of its mark value assuming that to x.
∴ (70/100)×120 = x.
x = $84.
So, Susan will receive $(100 - 84) = $16.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Need help with this geometry question
Answer:
I think it's 6 (square root) 2
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
sqrt x^ 2 +7 -2*=x-1
Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second on 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.
Answer:
1 /24
Step-by-step explanation:
Given the 3 spinners :
Probability = required outcome / Total possible outcomes
Probability that Spinner 1 lands on A :
P(spinner 1 lands on A) = 1/2
Probability that spinner 2 lands on 4 :
P(lands on 4) = 1 / 4
Probability that spinner 3 lands on green :
P(lands on green) = 1/3
Combined probability = 1/2 * 1/4 * 1/3 = 1 /24
can anyone help with these four⁉️ Will mark brainliest:D !!
Answer:
Step-by-step explanation:
For every 5 balloons in the sky, 2 of them will be rainbow. If there was 150 of them in the sky, how many would be rainbow?
Help me plsss!! Thanks
Answer: B or D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The answer must have 5! since it is a combinaiton of letters without any repeats. Since you want two words, its 2/5!
which equation has x=4 as the solution
Please helpbajshsjs please anyways thanks a lot
Answer:
225 cm cubed
Step-by-step explanation:
(1/2•base)•height
**PLEASE HELP**
Given: f(x) = 3x - 5, and g(x) = x² - 4x, find g(f(3))
Answer and Step-by-step explanation:
Plug 3 in for f(x), then plug the result of f(x) into g(x).
f(3) = 3(3) - 5
f(3) = 9 - 5
f(3) = 4
g(4) = [tex](4)^2 - 4(4)[/tex]
g(4) = 16 - 16
g(4) = 0
So, g(f(3)) = 0
#teamtrees #PAW (Plant And Water)
Answer:
0 is the final answer
Step-by-step explanation:
Substitute given values for x accordingly
Traci spent hour eating breakfast and
į hour helping clean up after breakfast.
How much time did she spend in all?
Give your answer in simplest form.
hour
Enter
Plz help
Jane and Tannic split the cost of buying a video game. The game costs$25, and the sales is 6% markup. How much do they each pay?
Given:
The cost of game = $25
Sales markup = 6%
To find:
How much do they each pay?
Solution:
The sales markup is 6% of the cost.
[tex]\text{Sales markup}=25\times \dfrac{6}{100}[/tex]
[tex]\text{Sales markup}=1.5[/tex]
Now, the total cost after sales markup is:
[tex]25+1.5=26.5[/tex]
Jane and Tannic split the cost of buying a video game. It means they divide the cost in two equal parts. So, the amount paid by each one is
[tex]\dfrac{26.5}{2}=13.25[/tex]
Therefore, Jane and Tannic will pay $13.25 each .
Please please help me with this
Step-by-step explanation:
i think is k , m , l
bcause 4 is the smallest number,
and 12 is the biggest number.
V = I ( R + r )
r = ?
Answer:
r = [tex]\frac{V-IR}{I}[/tex]
Step-by-step explanation:
Given
V = I (R + r) ← distribute parenthesis
V = IR + Ir ( subtract IR from both sides )
V - IR = Ir ( divide both sides by I )
[tex]\frac{V-IR}{I}[/tex] = r
*SHOW STEPS PLEASE* You can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph ________
a) is at a maximum.
b) is at a minimum.
c) crosses the y-axis.
d) crosses the x-axis
pls answer this for me now
Answer:
(3) 48
Step-by-step explanation:
The angle inside the ABC one is two times its angle size
Complete the angle addition postulate for the following angle
Given:
A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].
To find:
The missing value for the given equation by using the angle addition postulate.
Solution:
A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].
Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].
[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]
Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].
does anyone know the answer?
Answer:
x = 145
Step-by-step explanation:
The angles are same side exterior angle and same side exterior angles are supplementary
x +35 =180
Subtract 35 from each side
x = 180-35
x =145
Answer:
x=145
Step-by-step explanation:
180 -35 = 145
angle in a straight line add up to 180
x=145
F angle /corresponding angle are the same
Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?
A. 3/21
B. 4/21
C. 3/7
D. 4/7
Answer:
D. 4/7
Step-by-step explanation:
There are 7 people in people and there are 4 girls, that would be 4/7.
Ann borrowed $800 for 4 years the yearly interest was 16% how much interest did she owe after 4 years
Answer:
$512
Step-by-step explanation:
Interest = 16% of 800
= 16/100 x 800
= $128
Interest for 4 years = 128 x 4
= $512
¿Qué tiempo será necesario para que $ 2.340.260 se conviertan en $3.393.377 al 1,25% de interés simple mensual?
Answer:
The right solution is "36 years".
Step-by-step explanation:
Given:
Principle,
P = $2,340,260
Amount,
A = $3,393,377
Simple interest,
SI = 3,393,377 - 2,340,260
= $1,053,117
Rate of interest,
r = 1.25%
As we know,
⇒ [tex]SI=\frac{Prt}{100}[/tex]
By substituting the values, we get
⇒ [tex]1053117=\frac{2340260\times 1.25\times t}{100}[/tex]
⇒ [tex]10531170=292532.5\times t[/tex]
⇒ [tex]t=\frac{10531170}{292532.5}[/tex]
⇒ [tex]=36 \ years[/tex]
how can the position of a certain value in a given set of data be described and used in solving real-life problems?
Comes with a picture
multiple-choice answer please help I need immediate help
Thank youuuu
Answer:
The answer is A. 31,250.
Step-by-step explanation:
To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].
Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].
Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].
Finally, multiply 2 by 15,625, and the answer will be 31,250.
-4х + 5y=— 28
4x – 3y = 20
I hope it's correct and it helps I don't know how to explain it lol
What is the value of x?
Answer:
i dont know but the answer will be 1