Purple Dynasty at Smyrna High needs to raise at least $350 to purchase equipment for school beautification. They plan to sell mini pies (x) and bags of candy (y). They will earn $3 profit on each mini pie and $1 profit on each bag of candy. Which could NOT be a way to earn enough money? a) Selling 60 mini pies and 160 bags of candy b) Selling 25 mini pies and 290 bags of candy c) Selling 30 mini pies and 260 bags of candy d) Selling 45 mini pies and 220 bags of candy
Answers
350 = 3x + y
a) 3x + y ==> 3(60) + 160 = 180 + 160 = 340 This is NOT a way to earn enough money
b) 3x + y ==> 3(25) + 290 = 75 + 290 = 365 This IS a way to earn enough money
c) 3x + y ==> 3(30) + 260 = 90 + 260 = 350 This IS a way to earn enough money
d) 3x + y ==> 3(45) + 220 = 135 + 220 = 355 This IS a way to earn enough money
Answer:
Option a
Related Questions
what is equal to 3[tex] {3 }^{2} [/tex]
Answers
Exponents
The repeated product of the same numbers is usually written as a power of the base with an exponent equal to the number of times it repeats.
For example, the product
2*2*2*2
Is written as
[tex]2^4[/tex]Similarly, when we have an expression in exponent form, we can calculate it as a repeated product.
The expression
[tex]\begin{gathered} 3^2^{} \\ \text{Can be expressed as} \\ 3\cdot3=9 \end{gathered}[/tex]Thus, the result is 9
Use the graph to find the constant of proportionality of the number of books printed per hour a printing press. *1. 5/49 = 1/92. 49/5 = 9/13. 16/14. 1/165. Other:
Answers
Constant of proportionality: slope
Apply the slope (m) formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]Replace by 2 points represented on the graph, for example:
Point 1= (5,49)
Point 2 = (14,126)
Replacing;
[tex]m=\frac{126-49}{14-5}=\frac{77}{9}[/tex]77/9 , simplify :
Hi! Been out due to medical issues. Trying to learn work so help would be appreciated! Thank you so much.
Answers
To answer this question we will set and solve a system of equations.
Let A be the speed (in miles per hour) of the airplane in still air, and W be the wind speed (in miles per hour).
Since the airplane flying with the wind takes 4 hours to travel a distance of 1200 miles and flying against the wind takes 5 hours to travel the same distance, then we can set the following equation:
[tex]\begin{gathered} 4A+4W=1200, \\ 5A-5W=1200. \end{gathered}[/tex]Dividing the first equation by 4 we get:
[tex]\begin{gathered} \frac{4A+4W}{4}=\frac{1200}{4}, \\ A+W=300. \end{gathered}[/tex]Subtracting A from the above equation we get:
[tex]\begin{gathered} A+W-A=300-A, \\ W=300-A\text{.} \end{gathered}[/tex]Substituting the above equation in the second one we get:
[tex]5A-5(300-A)=1200.[/tex]Simplifying the above result we get:
[tex]\begin{gathered} 5A-1500+5A=1200, \\ 10A-1500=1200. \end{gathered}[/tex]Adding 1500 to the above equation we get:
[tex]\begin{gathered} 10A-1500+1500=1200+1500, \\ 10A=2700. \end{gathered}[/tex]Dividing the above equation by 10 we get:
[tex]\begin{gathered} \frac{10A}{10}=\frac{2700}{10}, \\ A=270. \end{gathered}[/tex]Finally, substituting A=270 at W=300-A we get:
[tex]\begin{gathered} W=300-270, \\ W=30. \end{gathered}[/tex]Answer:
The speed of the airplane in still air is 270 miles per hour.
The wind speed is 30 miles per hour.
Write the sentence as absolute value inequality: Half a number is not more than 8 units from -2.1
Answers
The sentence in absolute value inequality is;
⇒ | - 2.1 - y/2| < 8
What is mean by Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The algebraic expression is;
''Half a number is not more than 8 units from -2.1''.
Now,
Let a number = y
Then, we can formulate;
⇒ | - 2.1 - y/2| < 8
Thus, The sentence in absolute value inequality is;
⇒ | - 2.1 - y/2| < 8
Learn more about the inequality visit:
brainly.com/question/25275758
#SPJ1
this is parallel lines & angles question. I’m in a little hurry & i’m confused about this question. It asks “Find x”
Answers
ANSWER
x = -7
EXPLANATION
The two given angles are vertical angles, because
The 80-degree angle is a corresponding angle of the blue angle, and the x+87 angle is corresponding to the red angle. Therefore, these two angles are vertical and hence they are congruent:
[tex]80=x+87[/tex]Subtract 87 from both sides to solve for x:
[tex]\begin{gathered} 80-87=x+87-87 \\ -7=x \end{gathered}[/tex]What is the slope of the following equation? y=3x+1
Answers
Answer:
Slope = 3
Explanation:
If we have an equation of the form
[tex]y=mx+b[/tex]then m is the slope and b is the y-intercept.
Now in our case, the equation we have is
[tex]y=3x+1[/tex]Here we identify m = 3. Meaning the slope of the equation is 3.
Greatest to least greatest 3.5 grams 25 mg 1110 mg 34 grams?
Answers
First, we convert all the values to mil
3.5grams = 3.5 x 1000mg = 3500 mg,
24 mg,
1110 mg,
34 grams = 34 x 1000mg = 34000mg.
0 mg,
Find the perimeter. The shape consists of a squareand half a circle. Use = 3.14.
Answers
Given:
The diameter of the semicircle is d= 2in.
The side of the square is a= 2in.
Required:
We need to find the perimeter of the given shape.
Explanation:
Recall that the perimeter of a two-dimensional figure is the distance covered around it.
The perimeter of the given shape is the sum of the length of arc of the semicircle and 3 sides of the square.
[tex]Recall\text{ that the length of the arc of the semicircle is }\pi r.[/tex]The perimeter of the given shape is
[tex]P=\pi r+3a[/tex]Consider the radius formula.
[tex]r=\frac{d}{2}[/tex]Substitute d =2 in the formula
[tex]r=\frac{1}{1}=1\text{ in}[/tex][tex]Substitute\text{ }\pi=3.14,r=1\text{ and a=2 in the formula }P=\pi r+3a.[/tex][tex]P=3.14(1)+3(2)[/tex][tex]P=9.14in[/tex]Final answer:
The perimeter of the given shape is 9.14in.
This table gives a few (x,y) pairs of a line in the coordinate plane.
x y
-72 25
-54 13
-36 11
What is the y-intercept of the line?
Answers
Answer:
The y-intercept of the link is -23.
Step-by-step explanation:
(attached)
hey I need help please answer fast please I gotta go
Answers
First, let's get the coordinates of UVWX
U(8, -1)
V(3, -1)
W(3, -6)
X(8, -6)
This transformed to;
U' V' W' X'
So let's find the coordinate of U' V' W' X'
U'(1, 9)
V'(-4, 9)
W'(-4, 4)
X' (1, 4)
8-7= 1
3-7 = -4
x -7 = x'
Also - 1+ 10 = 9
- 6 + 10 = 4
Hence,
(x, y) ⇒ (x - 7, y+10)
What is the relationship between a function and its inverse? Choose all that apply.A The x & y values are switchedB The graph is reflected across the X-axisCThe positives become negative and the negatives become positiveDThe graph is reflected across the line y = xE The inverse is the upside down version of the original function
Answers
Given data:
The relationship between function and its inverse is x and y intechange and second thing is that the graph is reflected across y=x.
Thus, options (A) and (D) are correct.
A hotel purchases a large photo for its newly renovated lobby
Answers
Given
height of photo = h
Width = 6+3h
Perimeter = 284
Find
Height of the photo
Explanation
As we see the photo is in the shape of rectangle ,
and we know that perimeter of rectangle = 2( L + B)
so , according to the question
[tex]\begin{gathered} 284=2\times(h+3h+^6) \\ 142=4h+6 \\ 142-6=4h \\ 136=4h \\ 34=h \end{gathered}[/tex]width = 3h + 6 = 3*34 + 6 = 108
Final Answer
Therefore , the height of the photo is 34 in. and width is 108 in.
- 8x + 1 = 5(x + 1) - 13(x-3)
Answers
explanation/ steps:
1) distribute
2)distribute
3) add the numbers
4)combine like terms
5) subtract 1 from both sides
6)simplify
7) add 8x to both sides
8) simplify
9).divide both sides by the same factor
10)simplify
Answer:
steps for solving
1 Distribute
2
Distribute
3
Add the numbers
4
Combine like terms
5
Subtract
1
from both sides
6
Simplify
7
Add
8x
to both sides
8
Simplify
9
Divide both sides by the same factor
Step-by-step explanation:
x = 43/16
brainiest pls
a number n is 6 less than the square of n. how many possible values are there for n
Answers
We can write the question as a a polynomial as it follows:
[tex]n=n^2-6[/tex]The values that makethis expression true are the zero of the following polynomial:
[tex]f(n)=n^2-n-6[/tex]We can use Bhaskara to find the values:
[tex]n_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Where:
[tex]\begin{gathered} a=1 \\ b=-1 \\ c=-6 \end{gathered}[/tex]Substituting the values, we find:
[tex]n_{1,2}=\frac{1\pm\sqrt[]{1-4(1)(-6)}}{2}=\frac{1\pm\sqrt[]{25}}{2}=\frac{1\pm5}{2}[/tex]Before solving, we can see that there will realy have two real numbers for n. So the answer is the third optio: Two.
We can go ahead and find the values:
[tex]\begin{gathered} n_1=\frac{1+5}{2}=\frac{6}{2}=3 \\ n_2=\frac{1-5}{2}=-\frac{4}{2}=-2 \end{gathered}[/tex]what is the amount of pi?
Answers
P is defined as the ratio of a circle's circumference to its diameter,
In the following figure, the value of x is ______.Round Your Answer To The Nearest Tenth.
Answers
We can relate an angle and a side length in a right triangle using trigonometric ratios.
In this case, we can calculate x as:
[tex]\begin{gathered} \sin (35\degree)=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{x}{20} \\ x=20\cdot\sin (35\degree) \\ x\approx20\cdot0.574 \\ x\approx11.5 \end{gathered}[/tex]Answer: x = 11.5
f m∠DFC=(6b−18)°, find b so that FC−→−⊥FD−→−.I'm confused i know that its a 90 degree but i dont know where to plug the numbers
Answers
Given:
[tex]\angle DFC=(6b-18)^{\circ}[/tex]FC perpendicular to FD.
[tex]\begin{gathered} \angle DFC=90^{\circ} \\ (6b-18)^{\circ}=90^{\circ} \\ 6b=90+18 \\ 6b=108 \\ b=18 \end{gathered}[/tex]what is the oppisite of 19 4/3
Answers
19 4/3 well the opposite must have a different sign so it must be -1
7) 200 Litres of a punch that contains 35% fruit juice is mixed with 300 L of another punch. The resulting fruit punch is 20% fruit juice. Find the percent of fruit juice in the 300L of punch.
Answers
200 L contains 35% fruit juice
Let us find the quantity of the juice in it
[tex]200\times\frac{35}{100}=70[/tex]Then 200 L of the punch contains 70 L of juice
Since 300 L added, then the total of the mixture will be
300 + 200 = 500 L
This 500 L contains 20% of Juice
Let us find it
[tex]500\times\frac{20}{100}=100[/tex]Then 500 L of the punch contains 100 L of juice
Let us subtract the amount of juice of the 200 L from it to find the amount of juice in the 300 L
100 - 70 = 30 L
Then the 300 L of the punch contains 30 L of juice
We need to find its percentage, then divide it by the total 300, then multiply the answer by 100%
[tex]\frac{30}{300}=\frac{1}{10}[/tex]Multiply it by 100%
[tex]\frac{1}{10}\times100=10[/tex]The percentage of juice in the 300 L of punch is 10%
I’m exercises 5 and 6 , use the diagram and the given information to find the indicated measure. This is for problem number 6
Answers
Given that :
GL = 4x - 2
GE = 3x + 2
GK = 2x + 8
we are to find GJ and GE
using the idea of slant angle, lets equate some sides in other to get x
GK = GL
2x + 8 = 4x - 2
collecting like terms
4x - 2x = 8 + 2
2x = 10
divide both sides by 2
2x/2 = 10/2
x = 5
Since GK = GJ
inputing x = 5 into GK
GK = 2x + 8
GK = 2(5) + 8
GK = 10 + 8
GK = 18
since GK = 18, GJ = 18
GE = 3x + 2
recall x = 5
GE = 3(5) + 2
GE = 15 + 2
GE = 17
Therefore,
GJ = 18
GE = 17
Select the correct answer from each drop-down menu.In the first box it’s either (equal to) or (not equal to)In the Second box it’s either (are) or (are not)
Answers
To find h(k(x)), we have to replace the x-variable of h(x) with the function k(x).
[tex]\begin{gathered} h(k(x))=5(\sqrt[]{5x+1})^2-1=5(5x+1)-1=25x+5-1 \\ h(k(x))=25x+4 \end{gathered}[/tex]Then, find k(h(x)) using the same process.
[tex]\begin{gathered} k(h(x))=\sqrt[]{5(5x^2-1)+1}=\sqrt[]{25x^2-5+1} \\ k(h(x))=\sqrt[]{25x^2-4} \end{gathered}[/tex]As you can observe, the functions obtained are not equal.
Therefore, h(k(x)) is not equal to k(h(x)).
Also, the functions h and k are not inverse functions because the coefficient 5 would be as a denominator.
What is nine divided by 0?
Answers
Any number divided by 0, always results in undefined value. So if 9 is divided by 0, then answer is undefined.
Answer: Undefined
A family has an annual income of $34,500. How much is their monthly income?Their monthly income is $ ? .
Answers
Let:
A = Annual income
M = Monthly income
N = Number of months in the year
So, the annual income will be given by the monthly income multiplied by the number of months:
[tex]\begin{gathered} A=N\cdot M \\ 34500=12M \end{gathered}[/tex]Solve for M:
Divide both sides by 12:
[tex]\begin{gathered} \frac{34500}{12}=\frac{12M}{12} \\ 2875=M \\ M=2875 \end{gathered}[/tex]Answer:
$2875
if f(x)=3x-4 and g(x)=9x^2-16, find f o g and g o f
Answers
Given that f(x)=3x-4 and g(x)=9x^2-16.
The value of f o g can be obtained as follows:
[tex]\begin{gathered} f\circ g=f(g(x)) \\ =f(9x^2-16) \\ =3(9x^2-16)-4 \\ =27x^2-48-4 \\ =27x^2-52 \end{gathered}[/tex]The value of g o f can be obtained as follows:
[tex]\begin{gathered} g\circ f=g(f(x)) \\ =9(3x-4)^2-16 \\ =9(9x^2-24x+16)-16 \\ =81x^2-216x+144-16 \\ =81x^2-216x+128 \end{gathered}[/tex]Which choice is equivalent to the fraction below? Hint: Rationalize thedenominator and simplify.10/√2
Answers
The given fraction is:
[tex]\frac{10}{\sqrt[]{2}}[/tex]To rationalize the denominator, multiply numerator and denominator by square root(2) and simplify:
[tex]\frac{10\cdot\sqrt[]{2}}{\sqrt[]{2}\cdot\sqrt[]{2}}=\frac{10\sqrt[]{2}}{(\sqrt[]{2})^2}=\frac{10\sqrt[]{2}}{2}=5\sqrt[]{2}[/tex]The answer is D.
Evita collects baseball cards and is tryingto complete a special edition set of cards.Last month, she collected 30 cards. Thismonth, she collected 18 cards. What is thepercent change in the number of cardscollected from last month to this month?
Answers
the percent change in the number of cards collected from last month to this month is:
[tex]\frac{18}{30}\text{ x 100\% }[/tex]that is equivalent to say:
[tex]\frac{18}{30}\text{ x 100\% }=0.6\text{ x 100 = 60 \%}[/tex]the percent change in the number of cards collected from last month to this month is 60%
snicker fun size 10.59oz the cost is 3.89 what is the price per ounce.
Answers
Step 1
Given;
[tex]\begin{gathered} \text{ Candy bars = 10.59oz} \\ \text{Cost}=\text{\$}3.89 \end{gathered}[/tex]Required; To find the price per ounce
Step 2
State the ratio that can be used to find the price per ounce of the candy bars.
[tex]\begin{gathered} \frac{\text{\$}3.89}{x}=\frac{10.59oz}{1oz} \\ 3.89\times1=10.59x \\ x=\frac{3.89}{10.59} \\ x=\text{\$}0.3673276676 \\ x\approx\text{\$0.37} \\ \text{That is approxi}mately\text{ 37 cents} \end{gathered}[/tex]0.2(x + 1) + 0.7x please help me
Answers
Answer:
[tex]0.2 + 0.9x[/tex]
Step-by-step explanation:
Using BODMAS:
1) [tex]0.2(x + 1) + 0.7x[/tex]
2) [tex]0.2x + 0.2 +0.7x[/tex]
3) [tex]0.2 + 0.7x +0.2x[/tex]
4) [tex]0.2 + 0.9x[/tex]
How are the functions simplified, and how do we determine the value of f(4) and g(-5)?
Answers
Solution:
Given the functions;
[tex]\begin{gathered} f(x)=-5x-3 \\ \\ g(x)=2x^2-3x \end{gathered}[/tex]Then;
[tex]\begin{gathered} when\text{ }x=4; \\ f(4)=-5(4)-3 \\ \\ f(4)=-20-3 \\ \\ f(4)=-23 \end{gathered}[/tex]Also;
[tex]\begin{gathered} when\text{ }x=-5; \\ g(-5)=2(-5)^2-3(-5) \\ \\ g(-5)=2(25)+15 \\ \\ g(-5)=50+15 \\ \\ g(-5)=65 \end{gathered}[/tex]ANSWERS:
[tex]\begin{gathered} f(4)=-23 \\ \\ g(-5)=65 \end{gathered}[/tex]If a baseball player has a batting average of 0.265, what is the probability that the player will get the following number of hits in the next four times at bat?(A) Exactly 2 hits(B) At least 2 hits I have also attached a reference example.
Answers
Solution
For this case we have the following probability given:
p= 0.265
n= 4
Part a
[tex]P(X=2)=(4C2)(0.265)^2(1-0.265)^{4-2}=0.2276[/tex]Part b
[tex]P(X\ge2)=P(X=2)+P(X=3)+P(X=4)[/tex]Replacing we got:
[tex]P(X=2)=(4C2)(0.265)^2(1-0.265)^2=0.2276[/tex][tex]P(X=3)=(4C3)(0.265)^3(1-0.265)^1=0.0547[/tex][tex]P(X=4)=(4C4)(0.265)^4(1-0.265)^0=0.0049316[/tex]adding the two values we got:
[tex]P(X>2)=0.2276+0.0547+0.0049316=0.287[/tex]