X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.
[tex]\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\[/tex]
Simplifying the system of equations, we have
[tex]\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\[/tex]
[tex]\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500[/tex]
[tex]y&=500+100=600\\ z&=3(500)-600=900[/tex]
The video store has 500 children's movies, 600 westerns and 900 horror movies.
help pls, how do i answer this one
Answer:
h > 24
Step-by-step explanation:
h/3 > 8
so basially you move the number three from the left side to the right side
so from division to multiplication
h > 8 x 3
h > 24
Solved !
Hope it helped ! Have a nice day !
How is the sample space related to a probability model?
Answer:
The sample space S for a probability model is the set of all possible outcomes.
Mica is making a paste for an art project. He mixes 8 cups of water with glue. If he wants to make a double batch how many quarts of water does he need?how much water is that in gallons?
He needs one more quart. That is half of a gallon.
What is the answer to:
-4(2x+2) <-40
Answer: x > 6
Step-by-step explanation: -4(2x+2) < -40
-8x - 8 < -40
+8 +8
-8x < 48
/-8x /-8x
x > 6 *The less than sign got flipped to a greater than sign because we divided by a negative.
Sam is using the expression M/8n in class. What is the value of this expression when m = 4 and n = 1/2
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all you need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
luke buys shares for £15.26 each they decrease in value by 3.5% work out the new share price
Answer:
New price is $14.73 Per share
Step-by-step explanation:
(1 - 3.5%) × 15.26 = 14.7259
Round to the nearest hundreth
New share price = $14.73
what is log_{6}6^{3} in an equivalent form
[tex]\log_6 6^3\\\\=3 \log_6 (6)~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3 \cdot 1~~~~~~~~~~~~~~~~~~~~~~;[\log_a a=1]\\\\=3[/tex]
3x^2 - x + 4 and 2x- 4x^2 - 7
Answer:
Step-by-step explanation:
3x^2 - x + 4 and 2x- 4x^2 - 7
3x^2 - x + 4 = no solution
2x- 4x^2 - 7 = no solution
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C. 1/4
Step-by-step explanation:
Step 1
Make the fraction denominators the same!
1/2 will become 4/8 over here, and 2/8 is already good!
Step 2
Subtract the new fractions!
4/8 - 2/8 is easy! It's 2/8
Step 3
Simplify the answer (2/8)
2/8 will become 1/4 when simplified
Hence, the final answer is 1/4or C
what should you pay to play a game in which you receive $5 for drawing an ace from a deck of card, $1 for a face card, and .50 for any other card?
Assume the game is fair.
Please explain
Answer:
I would think it would be 4,20
could you please try to figure this out I have like 10 min
Answer:
668.5628.540.240This is the answer i guess.
I don’t know what letters go in what order, an explanation would be appreciated
Answer:
Step-by-step explanation:
Congruent triangles:8) AC = DC Given
BC = EC Given
∠ACB ≅ ∠DCB Vertically opposite angles are congruent
ΔACB ≅ ΔDCB SAS congruent9) RS = TS Given
SU =SU Reflexive property
∠RSU = ∠TSU Given
ΔRSU ≅ ΔTSU SAS congruent
Magnetism: So I need help on this question but please explain how you got the answer so I can learn and better provide evidence :) If you are able to answer this I also am putting a few questions on here for this similar subject for my test and pls explain them all ty!
Answer:
I think Option B is correct
Step-by-step explanation:
because Iron nail is wrapped with a copper wire so it's a solinoid and when the switch is off it gets magnetic field or the iron nail would behave like a magnet.
and It would attract metallic things.
Hope this helps you
have a nice day :)
how can i solve 8+3(2x-7)=11x
Answer:
x = -13/5
Step-by-step explanation:
8+3(2x-7) = 11x
8 + 6x - 21 = 11x
8 - 21 = 11x - 6x
-13 = 5x
-13/5 = x
How do I match these?
Step-by-step explanation:
fgx= x+6
g(f(x)=√x²+6
am not sure about the rest
I need this solved please
Answer:
Below in bold.
Step-by-step explanation:
The 3 angles of a triangle sum to 180 degrees, so:
if one angle is x degrres the other id 2x, and:
x + 2x + 60 = 180
3x = 180 - 60 = 120
x = 120/3 = 40
So m<B = 40 and m < A = 80 degrees.
Events A and B are independent. Let P(B)=0.4 and P(A and B)=0.13. Find P(A). Write your answer as a decimal rounded to the nearest thousandth.
The probability value represented by P(A) is 0.325
How to determine the probability value P(A)?The given parameters are:
P(B) = 0.4
P(A and B) = 0.13
Given that the events A and B are independent, we have:
P(A and B) = P(A) * P(B)
So, we have:
0.13 = P(A) * 0.4
Divide both sides by 0.4
P(A) = 0.325
Hence, the probability value of P(A) is 0.325
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
All items in a clothing store are on sale for the same percentage off the original price.
•The original price of a pair of pants is $20.
• The sale price of the pants is $15
• The original price of a shirt is $16
Enter the sale price, in dollars, of the shirt
Answer:
$12 is the sale price of shirt.
Explanation:
Calculate the percentage of sale
[tex]\sf \rightarrow \sf \dfrac{15}{20} *100[/tex]
[tex]\sf \rightarrow \sf 75 \%[/tex]
Then find the sale price of shirt
original price * percentage of sale
$16 * 75%
$12
Answer:
$12
Step-by-step explanation:
Method 1First, calculate the sale discount as a percentage using the given information about the pants.
$20 = Original price of pants$15 = Sale price of pants[tex]\sf percent\:change=\dfrac{|final\:value-initial\:value|}{initial\:value} \times 100[/tex]
[tex]\implies \sf percent\:change=\dfrac{|15-20|}{20} \times 100=25\%[/tex]
Therefore, the clothes are on sale with a 25% discount.
This means they are 75% of the original sale price, as 100% - 25% = 75%
To find the sale price of the shirt, we simply need to find 75% of the original selling price of the shirt:
75% of $16
= 0.75 × $16
= $12
Method 2Using ratios of original price : sale price, where x is the sale price of the shirt:
pants → 20 : 15
shirt → 16 : x
Therefore, as the ratios are the same:
20 : 15 = 16 : x
⇒ 20/15 = 16/x
⇒ 20x = 16 · 15
⇒ 20x = 240
⇒ x = 240 ÷ 20
⇒ x = 12
An experiment involves placing the males and females of a laboratory animal species in two separate controlled environments. there is a limited time available in these environments, and the experimenter wants to maximise the number of animals subject to the constraints described. how many males and how many females will maximise the total number of animals? males females time available environment a 20 min 25 min 800 min environment b 20 min 15 min 600 min
15 males and 20 females would maximize the total number of animals
How to determine the number of males and females?The table is given as:
Males Females Time available
Environment a 20 min 25 min 800 min
Environment b 20 min 15 min 600 min
Represent the male with x and the female with y.
The time available is limited i.e. ≤
So, the constraints are:
20x + 25y ≤ 800
20x + 15y ≤ 600
Solve the above system of inequalities graphically (see attachment)
(x, y) = (15,20)
Hence, 15 males and 20 females would maximize the total number of animals
Read more about maximizing functions at:
https://brainly.com/question/16826001
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I need help to find the equation and measures pls help me.
Answer:
Equation: 2x + x = 180
x = 60
∠GFH = 120
∠CBD = 60
Step by step:
Use 2x + x = 180 because the angles are on a straight line meaning they have a sum of 180:
2x + x = 180
3x = 180
3x/3 = 180/3
x = 60
Now just substitute:
∠CBD = x = 60
∠GFH = 2x = 120
Step-by-step explanation:
u didn't showed me but I will help u
here is your answer
Expression in simplest form
Answer:
[tex]-x^{3} -9x^{2}[/tex]
Step-by-step explanation:
I think.
Pls give Brainliest.
Solve x2-9x+14=0
Would appreciate if anyone could help
Volume of a standard cereal box l=8in w=3in h=11in
Does this graph show a function? Explain how you know.
Answer:
A. No, the graph fails the vertical line test
i have the radius i need the center
[tex]\boxed{\sf (-3, -1)}\boxed[/tex]
The diagram show a circle centre 0. write down the mathematical name of
Answer:
(a) sector
(b) chord
(c) tangent
Step-by-step explanation:
sector: a sector in a circle is enclosed by two radii and an arc.chord: this is a straight line that divides the circle into two unequal partstangent: a tangent touches a circle in only one point without entering inside the circle.What triangle congruence method is used for this triangle?
SSS
side - side - side
side - BD - commonside - BC = ADside = BA is parallel to DCHOPE IT HELPS...!!!
Prove cos^2 t+4cos t+4/cos t+2=2sec t+1/sec t
[tex]\text{L.H.S}\\\\=\dfrac{\cos^2 t +4\cos t +4}{\cos t +2 }\\\\\\=\dfrac{(\cos t)^2 + 2\cdot 2\cos t+2^2}{\cos t +2}\\\\\\=\dfrac{(\cos t +2)^2 }{\cos t +2}\\\\\\=\cos t +2\\\\\\=\dfrac 1{\sec t} +2\\\\\\=\dfrac{2\sec t +1}{\sec t}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Geometry given right triangle ABC with altitude BD drawn to hvpotenuse AC. If AD = 8
and BD = 4, what is the length of DC?
Answer: 2
Step-by-step explanation:
Part 1: What is the mean score, rounded to the nearest whole number?
Part 2: What is the median score?
Part 3: What is the mode score?
THIS IS NOT A QUIZ DONT REMOVE
