Answer:
i) Number of people in club = 12
ii) 96 ounces of fruit punch for 12people
iii) 24 ounces of cheese for 12 people
iv) Priya's budget for poetry club meeting in dollars = $7.87
Step-by-step explanation:
We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.
Number of people in the club = 12
8 ounces of fruit punch per person
For 12 people = 12×8 = 96 ounces of fruit punch
2 ounces of cheese per person
For 12 people = 12×2 = 24 ounces of cheese
A package of cheese = 16 ounces
The costs for 1package = $3.99
The costs for 16 ounces of cheese = $3.99
The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985
The cost for 24 ounces of cheese = $5.99
One-gallon jug of fruit punch = 128 ounces
The cost of One-gallon jug of fruit punch = $2.50
The costs of 128 ounces of fruit punch = $2.50
The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875
The costs for 96 ounces of fruit punch = $1.88
Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87
Cost per item for x number of people:
y = x(2.5/128) + x (3.99/16)
y = x(0.0195) + x(0.2494)
Cost equation for Priya's budget:
y = 96x(2.5/128) + 24x (3.99/16)
y = 96x(0.0195) + 24x(0.2494)
Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12
Which numbers are the extreme of the proportion shown below?
Answer:
4,35
Step-by-step explanation:
4/7 = 20/35
Converting it into ratio form
4:7 = 20:35
The Extremes of this proportion are 4,35
While, the means of this proportion are 7, 20
x^4-8x^2-33-14y-y^2
Answer:
I'm glad you asked!
Step-by-step explanation:
So let's simplify the number which is all you can do .
[tex]x^{4} -8x^{2} -33-14y-y^{2}[/tex]
= [tex]x^{4} +-8x^{2} +-33+-14y+-y^{2}[/tex]
Answer:
=[tex]x^{4} -8x^{2} -y^{2} -14y+-y^{2}[/tex]
Give complete answers that show all steps! :)
Answer:
Rise: 200.25
Descent 300.2
Minutes
Step-by-step explanation:
A) We are using the Pythagorean theorem for the climb and descent. (a^2 + b^2 = c^2)
For climb a = 200, b = 10 c = ?
200^2 + 10^2 = c^2 = 40000 + 100 = c^2 = 40100 = c^2
c = about 200.25
For the descent: a = 300, b = 10
300²+10² = c²
90000 + 100 = c²
90100 = c²
c = about 300.2
B) If a plane is going 600 km/h and it goes about 10 km that means the plane is only going for 10/600 of an hour.
10/600 is 1/60, so only a couple minutes difference.
Which inequality matches the graph?
A.−3x + 2y > 7
B.3x − 2y < 7
C.−2x + 3y > 7
D.2x − 3y < 7
Please help me simplify these expressions
Answer: First answer is a^2 b^3. Second one is 3m^2n^5. Thrid is 15x^7y^3
Step-by-step explanation:
1. there is no numbers to multiply together, so just add the a's and b's
2.3 stands alone. add the m's and n's together. getting m^2 and n^5
3. Do 5*3 getting 15, add the x's together, same with the y's getting the answer of 15x^7y^3
Lmk if it helps. :)
Please answer correctly !!!!!!!!! Will mark brianliest answer !!!!!!!!!!!!
Answer:
9x^2 +12x
Step-by-step explanation:
To find the area of a rectangle you need to multiply the length by the width. So,
3 by 3x^2 = 9x^2
3 by 4x = 12x
So the area of the entire rectangle is: 9x^2 + 12x
. A retailer sold 10 packs of pens in 3 days. There were 48 pens in each pack. He sold twice as many pens on Sunday than on Monday. He sold 55 pens fewer on Tuesday than on Sunday. How many pens did the retailer sell on Monday?
Answer:
The number of pens sold on Monday is 107 pens
Step-by-step explanation:
total pack of pen sold by the retailer in 3 days = 10 packs
total number of pens in the 10 packs = 48 x 10 = 480 pens
let the number of pens sold on Monday = x
let the number of pens sold on Sunday = y
let the number of pens sold on Tuesday = z
He sold twice as many pens on Sunday than on Monday
y = 2x ------equation (1)
He sold 55 pens fewer on Tuesday than on Sunday
y = z + 55 ------equation (2)
total number of pens sold in the three days
y + z + x = 480 ------equation (3)
from equation (1) make x the subject of the formula
x = y/2
from equation (2) make z the subject of the formula
z = y - 55
substitute the value of x, and z into equation (3)
y + y/2 + y - 55 = 480
2y + y/2 = 480 + 55
5y/2 = 535
5y = 535 x 2
5y = 1070
y = 1070 / 5
y = 214
The number of pens sold on Monday is:
x = y / 2
x = 214 / 2
x = 107 pens
Thus, the number of pens sold on Monday is 107 pens
Malik’s solution to the equation , when , is shown below.
Question: What is the Question?
a 150 adults complete a survey 80 of them a woman what the ratio
Answer:
The number of men to number of women be 7 : 8 .
Step-by-step explanation:
Answer:
7:8
Step-by-step explanation:
Which could be the side length of a 30°-60°-90° triangle?
*
A. 2,3, V2
B. V3, 2V3,3
C. 3,3,3V2
D. 3, 3V3 ,6V3
Which is the value of this expression when x = negative 2 and y = negative 3? 10 x cubed y squared Negative 720 Negative 360 360 720
Answer:
Step-by-step explanation:
10x^3y^2
10(-2)^3 * (-3)^2 = -720
Answer: Negative 720
Step-by-step explanation:
-2 * -2 * -2 = -8
10 * -8 = -80
-3 * -3 = 9
-80 * 9 = -720
3 x 1/4 what is the answer to the question?
Answer:3/4
Step-by-step explanation:
1x3=3
Answer:
I used an online calculator and I got 0.75
Step-by-step explanation:
how do you know if a transfomation is rotation translation or reflection
Answer:
Step-by-step explanation:
Translation: You move the shape by moving the points on the shape by the number, it changes the location of the shape.
Reflection: There is a line of reflection and the shape will be reflected by that, like a mirror, so it will be the same shape, same size.
Rotation: There is a point of rotation and the shape will just move around that point and will change the positioning if the shape. Always has coordinates
HELP!!!!! Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is .
Answer:
Below in bold.
Step-by-step explanation:
9x^2 - 16
Comparing this with the standard form
ax^2 + bx + c
ac = 9*-16 = -144
b = 0
-12 and 12 multiply to get ac and add to get b.
Factored form is
(3x - 4)(3x + 4).
The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The quadratic equation is,
⇒ 9x² - 16
Now, We know that;
General form of quadratic equation is,
⇒ ax² + bx + c
Here, The quadratic equation is,
⇒ 9x² - 16
Hence, By comparing,
⇒ a = 9
⇒ b = 0
⇒ c = - 16
Thus, The value of ac is,
⇒ ac = 9 × - 16
= - 144
And, The factored form is,
⇒ 9x² - 16
⇒ (3x)² - 4²
⇒ (3x - 4) (3x + 4)
Thus, The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
Learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ3
A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
Answer:
0.62
Complete question:
What is the probability that at Aya will be offered a coupon on at least one of the days she visits the website?
Step-by-step explanation:
assuming,
A: Aya gets a coupon one day. P(A) = 0.15
B: Aya doesn't get a coupon one day. P(B) = 1 - 0.15 = 0.85
Aya doesn't get a coupon in any of 6 days = P(B)^6 = 0.85^6 = 0.38
The probability of Aya getting at least 1 coupon after 6 days is the complement of don't getting any coupon after 6 days, that is:
1 - P(B)^6= 1 - 0.38 = 0.62
Is a percent a ratio?
Describe using 1 complete sentence.
Answer:
Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.
Step-by-step explanation:
i hope this is what u are looking for
For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).
Answer:
[tex] \boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7} [/tex]
Given:
[tex] \sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6 [/tex]
To find:
[tex] \sf (f - g)(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
[tex] \sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7 [/tex]
5 Points
Rebecca is given two triangles, AABC and A DEF. At first glance, she thinks
that the triangles are congruent. How can she use what she knows about
rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)
She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given figure, we have triangles in which two angles and one side are equal.
∠A = ∠E = 65° (angle)
BA = ED (side)
∠A = ∠E = 30° (angle)
By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)
Thus, the correct answer is option A.
Learn more about congruent triangles here:
brainly.com/question/4364353
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Given the translation T(-2, 5), translate the given ordered pairs: (2, 5) and (-1, 7)
Answer:
When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)
Here whe have the translation T(-2, 5)
a) if our pair is (2, 5) then:
T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)
b) if our pair is (-1, 7)
T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)
can someone answer number 10 and show the work? I really need it please
Answer:
D
Step-by-step explanation:
f(x)=(3/5)x-10
f(5)=(3/5)(5)-10=
3-10=
-7
Hope this helps!
if one song is $50 and i have $17000 how many songs can i buy
Answer:
340 songs, 17000/50 = 340 lol
Answer:
340
Step-by-step explanation:
17000÷50=340.
hope this helps
if cos =5\13 and 90°≤ø≤180,evaluate cotø,secø,cosø
Answer: [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]
Step-by-step explanation:
90° ≤ θ ≤ 180° means that it is in Quadrant II → x is + , y is -
[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]
The solution set for -p2 − 11p = 0 is { }. (Separate the solutions with a comma.)
Answer:
0,-11
Step-by-step explanation:
-p^2 − 11p = 0
Factor out -p
-p( p+11) =0
Using the zero product property
-p =0 p+11 =0
p =0 p = -11
What is the greatest decimal place value?
Answer:
Millionths
Step-by-step explanation:
It is the fartherst decimal place that thier is.
Ix
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-8)
6+(-8)
6 + 8
Answer:
6 + 8
Step-by-step explanation:
6-(-8)= 6+8
If anybody knows anything I beg you help PLS HELP
Answer:
7.809 g/cm^3
Step-by-step explanation:
Density is mass over volume so we need to find the mass and volume of the steel.
First we find the volume of the wood:
Vw = 9*6*6 = 324 cm^3
now we can find the mass of the wood, as mass = density * volume
mw = .68*324 = 220.32g
subtracting the mass of wood from total mass, we get the mass of steel
970-220.32 = 749.68g
now we can find the volume of the pyramid
Vs = 1/3 *6*6* (17-9) = 96 cm^3
Now we divide mass by volume to get density
749.68/96 = 7.809 g/cm^3
Confirming this with known data, density of steel is roughly between 7.75 and 8.05 g/cm^3 so we know we're correct.
PLEASE HELP!! if f(x)= 2x^2-11, find f(4)
Answer: f(4) = 21
Step-by-step explanation:
2(4)^2-11
4^2 = 16
2(16)-11
Multiply 2 and 16
32 - 11
Subtract
21
Answer:
21
Step-by-step explanation:
f(x)= 2x^2-11
Let x= 4
f(4)= 2*4^2-11
= 2 * 16 - 11
= 32 -11
21
Find the mean absolute deviation of {16, 19, 22, 27, 33, 19, 25}.
Answer:
5.8 is what I think it is. I also got 4.6 on another calculator.
Step-by-step explanation:
I did it on math-way.
From sea level, a submarine descends 40 feet per minute. Where is the submarine in relation to sea level 5 minutes after it starts descending?
Answer:
It is expected to be at a distance of 200 ft below the sea level
Step-by-step explanation:
We are told that the sub marine has a descending rate of 40 ft per minute.
Thus, after five minutes, the distance it would have descended would be 40 ft per minute * 5 minute = 200 ft
Thus, the submarine is expected to be 200ft below sea level
Simplify (5 + 1)^2- (11 +32) divided by 4
Answer:
-7/4
Step-by-step explanation:
((5 + 1)^2- (11 +32))/ 4=(36-43)/4= -7/4
Answer:
31
Step-by-step explanation: