Answer:
Here's what I get.
Step-by-step explanation:
You have two conditions.
1. The club must raise at least $500, and that comes from the sale of lemonade and water.
Let c = cans of lemonade
and b = bottles of water
Then the first condition is
(1) 2c + 1.50b ≥ 500
2. The club can accept a maximum of 360 cans and bottles
Your second condition is
(2) c + b ≤ 360
Your system of inequalities is
[tex]\left[ \begin{array}{rcl}2c + 1.50b & \geq & 500\\c+b & \leq&360\\\end{array}\right][/tex]
what is the general form of the equation of the given circle with center A ?
Answer:
the equation of circle is x² + y² + 6x - 24y + 128 = 0
Step-by-step explanation:
To find the general form of the equation of the circle with center A (-3, 12) and radius r=5, we simply use this formula;
General Equation of a circle is (x - a)² + (y-b)² = r²
(a,b) are the two point at the center of the circle which are (-3, 12)
which implies a = -3 and b = 12
r is the radius of the circle which is given as 5 from the above diagram
to get r², we simply square 5 and so r² = 25
We can now plug in the values of our variables into the equation
(x - a)² + (y-b)² = r²
(x - [-3])² + ( y - 12)² = 5²
(x +3)² + ( y - 12)² = 5²
we will expand all the brackets
x² + 6x + 9 + y² -24y + 144 = 25
x² +6x + y² -24y + 153 = 25
Take 25 to the left hand side of the equation
x² +6x + y² -24y + 153 - 25 = 0
x² +6x + y² -24y + 128 = 0
Rearranging the equation to give us a standard form of the equation of the circle, we have;
x² + y² + 6x - 24y + 128 =0
{Note: (x + 3)² = (x+3)(x+3) = x² + 6x + 9 and
(y - 12)² = (y -12)(y-12) = y² - 24y + 144}
Therefore the general form of the equation of a circle with center(-3, 12) and radius 5 is x² + y² + 6x - 24y + 128 =0
Answer plzzzz I need it ok
Answer:
There are 26 different possible outcomes. the probability of the computer choosing the first letter of your name is 1 out of 26.
9:6 and 4:3 are they equivalent?
No because 9:6 is 1.5 and 4:3 is 1.333...
Answer:
NOStep-by-step explanation:
[tex]9:6=\dfrac{9}{6}=\dfrac{9:3}{6:3}=\dfrac{3}{2}\neq\dfrac{4}{3}=4:3\\\\\text{Other method:}\\\\9:6=\dfrac{9}{6}\\\\4:3=\dfrac{4}{3}\\\\\dfrac{9}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\(9)(3)=(6)(4)\\\\27=24\qquad\bold{FALSE}[/tex]
Makayla has $8 to buy tickets at the school fair. Each ticket costs @1.5. Which inequality best represents how many tickets she can buy?
n=number of tickets
a. n<=5 b. n<8 c. n<=6 d. n<5
Answer:
[tex]n\le 5[/tex]
Step-by-step explanation:
Let n be the number of tickets Makaya has to buy.
If the cost of one ticket is $1.5, then the cost of n tickets is $1.5n.
Makayla has $8 to buy tickets at the school fair, thus
[tex]1.5n\le 8\\ \\n\le \dfrac{8}{1.5}\\ \\n\le \dfrac{80}{15}\\ \\n\le \dfrac{16}{3}\\ \\n\le 5\dfrac{2}{3}[/tex]
The maximum number of tickets Makaya can buy is 5, so
[tex]n\le 5[/tex]
-1/2 (4x+2) (is less than) 0
Answer:
x > -1/2
Step-by-step explanation:
Step 1: Use the Distributive Property
-2x - 1 < 0
Step 2: Isolate x
-2x < 1
Step 3: Simplify
x > -1/2
Note that when dividing by a negative in an inequality, reverse the inequality symbol.
^^^^^^^^^^^^^^^^^^^^
ANSWER
The correct answer is C
EXPLANATION
We want to find the quotient:
[tex] - \frac{10}{19} \div ( - \frac{5}{7} )[/tex]
We multiply by the reciprocal of the second fraction:
[tex]- \frac{10}{19} \times ( - \frac{7}{5} )[/tex]
We cancel out the common factors to obtain:
[tex]- \frac{2}{19} \times ( - \frac{7}{1} )[/tex]
We multiply to get
[tex]\frac{ - 2 \times - 7}{19 \times 1} [/tex]
This simplifies to :
[tex] \frac{14}{19} [/tex]
The correct answer is C
The answer is:
Option C.
[tex]\frac{14}{19}[/tex]
Why?To perform fraction division, we need to follow the convert the expression and multiply the first fraction (numerator) by the inverse of the second fraction (denominator).
For example:
[tex]\frac{\frac{a}{b} }{\frac{c}{d} }=\frac{a}{b}*\frac{d}{c}[/tex]
So, we are given the following expression:
[tex]-\frac{10}{19}\div (-\frac{5}{7})[/tex]
Which is equal to:
[tex]\frac{-10}{19}\div (\frac{-5}{7})[/tex]
Then, calculating we have:
[tex]\frac{-10}{19}\div (\frac{-5}{7})=\frac{10}{19}*\frac{7}{5}\\\\\frac{10}{19}*\frac{7}{5}=\frac{10*7}{19*5}=\frac{70}{95}\\\\\frac{70}{95}=\frac{5*14}{5*19}=\frac{14}{19}[/tex]
Hence, we have that the correct option is:
Option C.
[tex]\frac{14}{19}[/tex]
Have a nice day!
what is the standard form of the number shown in this caculator display? 3.82eplus7
3.82 E+7 is just an engineering format, another way to write it will be 3.82 x 10⁷ in scientific format, or just 3.82 x 10000000 <--- notice, seven zeros.
and the product of the above is just 38200000, or standard form.
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
ANSWER
A. <AKC and <TKI
D. <IKR and <AKP
EXPLANATION
Vertical angles are also called X-angles.
They are angles in the opposite corners of a figure that looks like X.
From the diagram, the options that are vertical angles are:
A. <AKC and <TKI
D. <IKR and <AKP
The correct answers are A and D.
Answer:
A and D.
Step-by-step explanation:
A pair of angles are vertical if both measure the same and both are opposite by a vertex. Then, in the figure we have that
∠AKC and ∠TKI are vertical angles
∠AKP and ∠PKI are not vertical angles (∠PKI measures more than ∠AKP and these angles are not opposite by a vertex).
∠AKT and ∠PKC are not vertical angles (same reason as the second option).
∠IKR and ∠AKP are vertical angles.
The number of people playing a new phone app game triples every month. When the app first launched, 800 people started playing the game right away. There are currently 194,400 people playing the game. Write an equation to represent this situation, and determine the number of months, t, that have passed since the app launched.
Answer:
[tex]a_t=ar^{t-1}[/tex]
t=6 months
Step-by-step explanation:
We are given that the number of people playing a new phone app game triples every month
When the app first launch , the number of people started playing the game right away=800
According to question
The number of peoples are currently playing the game=194,400
We solve by using the formula of geometric series because we get a geometric series pattern
The number of people playing the game when app game launch=800
The number of people playing game after one month=2400
800,2400,7200,........,194,400
[tex]a_1=800,a_2=2400,a_3=7200,a_t=194,400[/tex]
We are finding common ratio
[tex]\frac{a_2}{a_1}=\frac{2400}{800}=3[/tex]
[tex]\frac{a_3}{a_2}=\frac{7200}{2400}=3[/tex]
Hence, the common ratio is 3 therefor nth term of G.P
[tex]a_t=ar^{t-1}[/tex]
a=800,r=3,[tex]a_t=194,400[/tex]
Substitute the values then we get
[tex]194,400=800(3)^{t-1}[/tex]
[tex]\frac[194400}{800}=(3)^{t-1}[/tex]
[tex]243=3^{t-1}[/tex]
[tex]3^5=3^{t-1}[/tex]
When base are same on both side then the power are equals
Therefore, t-1=5
t=5+1=6
Hence, when there are 194,400 people currently playing the game then
the number of months ,t=6 that have passed since the app launched.
Answer:
800(3)^t = 194,400; t = 5 months
Step-by-step explanation:
Please answer right away
Answer:
The correct answer option is [tex] \frac { 4 } { 4 9 } [/tex].
Step-by-step explanation:
We are to find the probability that both your parents were born on weekend (either Saturday or Sunday).
Total number of days in a week = [tex] 7 [/tex]
Number of days in weekend = [tex] 2 [/tex]
Probability of being born on weekend = [tex] \frac { 2 } { 7 } [/tex]
P (both parents were born on weekend) = [tex]\frac{2}{7} \times \frac{2}{7}[/tex] = 4/49
Ethan and Adien share a reward of $126 in a ratio of 4:3. what fraction of the total reward does Adien get?
Answer:
Step-by-step explanation: 4+3 =7 126/7= 18 (Ethan is 4*18) and (Aiden is 3*18) because 72+54=126 so aiden gets 54
Adíen gets 54 dollars hope this helps
Anyone understand this if so plz respond with answer
Answer:
I dont know the answer
Step-by-step explanation:
But you can find the answer by figuring out what a domain and a range iss and chose which one is a domain and a range you can find what a domain and a range is on google
-The domain has all possible values of S so is the amount of sugar transported.
-The range has all possible values of C so is the cost to transport sugar
Explain the steps in calculating the mean absolute
deviation of a set of data.
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. ... Divide the sum of the absolute values of the differences by the number of data values.
Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.
someone solve this question!!!??Thank you
Combing like terms you have 0.25k - k = -0.75k
and 1.5 - 3.5 = -2.0
The answer would be -0.75k - 2.0
0.25k + 1.5 - k - 3.5
You must combine like terms. Like terms are the numbers with the same variable (letter) attached (in this case the numbers with the letter k are like terms)
(0.25k + (-k) )+ 1.5 - 3.5 <<<Remember that a variable with no number in front of it still has and invisible 1
(0.25k + (-1k) ) + 1.5 - 3.5
-0.75k + 1.5 - 3.5
Numbers without any variable are also like terms
-0.75k + 1.5 - 3.5
-0.75k -2
Hope this helped!
~Just a girl in love with Shawn Mendes
If f(x) = –2x+8 and g(x) = Square root of X+7,
what is (fºg)(2)
Answer:
(fog)(2)=2
Step-by-step explanation:
Given
f(x)= -2x+8
and
g(x)= √(x+7)
For finding (fog)(2), we have to find (fog)(x) first
In order to find (fog)(x) we will put the value of g(x) in f(x) in place of x.
(fog)(x)= -2g(x)+8
Putting the value of g(x)
(fog)(x)= -2√(x+7)+8
We have to find (fog)(2), so we have to put at the place of x in the composition
(fog)(x)= -2√(2+7)+8
(fog)(x)= -2√9+8
= -2(3)+8
= -6+8
=2
So,
(fog)(2)=2 ..
If (x+k) is a factor of f(x) which of the following must be true
Answer:
If (x+k) is a factor of f(x), then -k is a root (or solution) of f(x).
Step-by-step explanation:
Where are the answer choices? Please share them.
If (x+k) is a factor of f(x), then -k is a root (or solution) of f(x).
If (x+k) is a factor of f(x), then f(-k) = 0
If (x + k) is a factor of f(x) which must be truefrom the question, we have the following parameters that can be used in our computation:
(x + k) is a factor of f(x)
If (x+k) is a factor of f(x), then f(-k) = 0. This is known as the factor theorem.
It states that if a polynomial f(x) has a factor of (x-a), then f(a) = 0.
In this case, since (x+k) is a factor of f(x), we can substitute -k for x in the factor theorem to get f(-k) = 0.
Read more about remainder theorem at
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Need Help PLZ!!!!!!!!!
Answer:
Final answer is [tex]W=\frac{CL}{100}[/tex].
Step-by-step explanation:
Given equation is [tex]C=\frac{100W}{L}[/tex].
Now we need to solve the given equation [tex]C=\frac{100W}{L}[/tex] for indicated variable W.
That means we need to isolate W. In other words move 100 and L to the right side of the equation.
[tex]C=\frac{100W}{L}[/tex]
[tex]CL=100W[/tex]
[tex]\frac{CL}{100}=W[/tex]
[tex]W=\frac{CL}{100}[/tex]
Hence final answer is [tex]W=\frac{CL}{100}[/tex].
If it takes Bianca 30 minutes to bake 2 pans of brownies, how many pans of brownies can she bake in 7 hours?
Answer:
Bianca can make 28 pans of brownies in 7 hours
Step-by-step explanation:
As we know, 1 hour = 60 minutes
so, 1/2 hour = 30 minutes
Bianca takes 1/2 hour to make pans of brownies = 2 pans
Bianca takes 1 hour to make pans of brownies = 2 / (1/2) pans
Bianca takes 7 hour to make pans of brownies = 4 * 7 pans
= 28 pans
So, Bianca can make 28 pans of brownies in 7 hours.
Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
A.
15 + d = 100
B.
100 + d = 15
C.
d × 15 = 100
D.
d × 100 = 15
GUYS I GOT BANNED FOR 25 HOURS LOL
Answer:
C. d × 15 = 100
Step-by-step explanation:
The distance d in meters that Martin covers per second is 100 m/15 sec.
We write this as: d= 100/15. It is the same as:
d × 15 = 100
Thus, the correct answer would be C.
Answer:
The answer is C for sure . Hope everyone has a good day .
Step-by-step explanation:
Ann needs 3/4 of a book in 2 days. At this rate how many books can she read in 4 1/3 days.
[tex]\bf \begin{array}{ccll} book&days\\ \cline{1-2}\\ \frac{3}{4}&2\\\\ x&4\frac{1}{3} \end{array}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~2~~}{4\frac{1}{3}}\implies \cfrac{~~\frac{3}{4}~~}{x}=\cfrac{~~2~~}{\frac{13}{3}} \implies \cfrac{~~\frac{3}{4}~~}{\frac{x}{1}}=\cfrac{~~\frac{2}{1}~~}{\frac{13}{3}}[/tex]
[tex]\bf \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{2}{1}\cdot \cfrac{3}{13}\implies \cfrac{3}{4x}=\cfrac{6}{13}\implies 39=24x\implies \cfrac{39}{24}=x\implies \cfrac{13}{8}=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 1\frac{5}{8}=x~\hfill[/tex]
The function f(x) = 9.75x + 62 models the amount
of money that Hector earned working x hours in a
week. The function g(x) = 7.5x + 84 models the
amount of money that Cart earned working x
hours in the same week Which function, h(x).
models the difference in Hector's and Cari's
earnings?
a. h(x) = 17.25x - 22
b. h(x) = 17.25x + 146
c. h(x) = 2.25x - 22
d. h(x) = 2.25x + 146
The answer is:
The third option,
c) [tex]h(x)=2.25x-22[/tex]
Why?We are given the functions E(x) and K(x), since they both are function of the same variable, we need to calculate the difference between them.
From the statement we know the functions:
[tex]f(x)=9.75x+62[/tex]
and
[tex]g(x)=7.5x+84[/tex]
So, calculating the difference the functions we have:
[tex]h(x)=f(x)-g(x)[/tex]
[tex]h(x)=(9.75x+62)-(7.5x+84)[/tex]
[tex]h(x)=(9.75x+62)-(7.5x+84)[/tex]
[tex]h(x)=9.75x-7.5x+62-84[/tex]
[tex]h(x)=2.25x-22[/tex]
Hence, the answer is the third option,
c) [tex]h(x)=2.25x-22[/tex]
Have a nice day!
Answer: Option C
[tex]h(x)=2.25x-22[/tex]
Step-by-step explanation:
To find the function h(x) that models the difference between Hector's and Cari's gains, subtract the functions f(x) with g(x)
That is to say:
[tex]h (x) = f (x) -g (x)[/tex]
We know that
[tex]f (x) = 9.75x + 62\\\\g (x) = 7.5x + 84[/tex]
Then we can find the function h(x)
[tex]h(x) = 9.75x + 62 - (7.5x + 84)\\\\h(x) = 9.75x + 62 -7.5x -84[/tex]
[tex]h(x)=2.25x-22[/tex]
which angle is conterminal with -pi/6
Answer:
Subtract 360° to find a negative coterminal angle. Angles that measure 240° and –480° are coterminal with a –120° angle. For an angle θ in standard position, the reference angle is the positive acute angle formed by the terminal side of θ and the x-axis.
Step-by-step explanation:
How many solutions does the equation 6y - 3y -7 = -2 +3 have?
Answer:
6y - 3y - 7 = -2 +3
Simplify both sides:
3y -7 = 1
Add 7 to both sides:
3y = 8
Divide both sides by 3:
y = 8/3 = 2 2/3
There is only one solution.
How many 1/4 foot pieces can you cut from a 12 foot board
Answer:
48
Step-by-step explanation:
Here are two methods for finding the answer.
Method A.
In 1 foot, there are 4 1/4-foot pieces.
In 12 feet, there are 12 times as many as in 1 foot.
12 * 4 = 48
Method B.
Divide 12 ft by 1/4 ft.
12/(1/4) = 12 * 4/1 = 12 * 4 = 48
Answer: 48
48 cut from a 12 foot board.
What is the purpose of foot board?Bed cradles and foot boards are devices that attach to your bed. They keep sheets and blankets from touching and rubbing your legs or feet. Foot boards will also keep your feet in proper position while you are in bed.
In 1 foot, there are 4 1/4-foot pieces.
In 12 feet, there are 12 times as many as in 1 foot.
12 ×4 = 48
Divide 12 ft by 1/4 ft.
12/(1/4) = 12 ×4/1
= 12 × 4 = 48
1/4 foot pieces can you cut from a 12 foot board = 48
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evaluate the polynomial for the given value of x: f(x) =3x^3+5x^2+x-2 when x=2
Answer: [tex]f(2)=44[/tex]
Step-by-step explanation:
Given the polynomial [tex]f(x) =3x^3+5x^2+x-2[/tex], you can evaluate it for the given value of the variable "x" by substituting the value [tex]x=2[/tex] into the polynomial.
Therefore, when [tex]x=2[/tex], you get the following result:
[tex]f(x) =3x^3+5x^2+x-2 \\\\f(2) =3(2)^3+5(2)^2+(2)-2\\\\f(2)=3(8)+5(4)+2-2\\\\f(2)=24+20\\\\f(2)=44[/tex]
Carlos is sorting apples for a large orchard.He sorts them into 75 baskets of 30 and 50 baskets of 45.
Which of the following expressions could you use to figure out how many apples Carlos sorted?
A) 75 +30 +30 (50+45)
B) 75x45) x (30x50)
C) 75x30) +(50x45)
D) 45x50X30x75
Answer:
C
Step-by-step explanation:
Because if you have 75 baskets of 30 then you have to multiply 75x30 it is the same thing with 50x45. Hope this helps
Answer:C) 75x30) +(50x45)
Step-by-step explanation: 75 * 30 for the 30 apples in each basket and 50 * 45 for the 45 in each and put them into their own equation with parenthesees. Then add to find the total
Please help me thank you
Answer:
[tex]\large\boxed{-\dfrac{8}{\sqrt{63}}}[/tex]
Step-by-step explanation:
[tex]\csc\theta=\dfrac{1}{\sin\theta}\\\\\cos\theta=-\dfrac{1}{8}\qquad\text{use}\ \sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta+\left(-\dfrac{1}{8}\right)^2=1\\\\\sin^2\theta+\dfrac{1}{64}=1\qquad\text{subtract}\ \dfrac{1}{64}\ \text{from both sides}\\\\\sin^2\theta=\dfrac{64}{64}-\dfrac{1}{64}\\\\\sin^2\theta=\dfrac{63}{64}\to\sin\theta=\pm\sqrt{\dfrac{63}{64}}\\\\180^o<\theta<270^o\to III\ quadrant,\ \sin\theta<0.\\\\\text{Therefore}\ \sin\theta=-\sqrt{\dfrac{63}{64}}=-\dfrac{\sqrt{63}}{\sqrt{64}}=-\dfrac{\sqrt{63}}{8}.[/tex]
[tex]\csc\theta=\dfrac{1}{-\frac{\sqrt{63}}{8}}=-\dfrac{8}{\sqrt{63}}[/tex]
Is 7/12 close to 0, 1/2 OR 1
Answer: 1/2, because its 0.583 and 1/2 is 0.5
Step-by-step explanation:
Answer:
Final answer is 1/2.
Step-by-step explanation:
Given numbers are 0, 1/2 and 1.
Now we need to find about which one of those three numbers is close to 7/12.
Since 7/12 has denominator 12 so let's convert each of the given number into their equivalent fractions with denominator 12.
0=0/12
1/2=6/12
1=12/12
Now we can easily compare them with 7/12 and find that 6/12 or 1/2 is closest.
Hence final answer is 1/2.
WILL MARK BRAINLIEST !!!!!! PLEASE HELP ASAP
Answer:
[tex]\large\boxed{Q1.\ \left\{\begin{array}{ccc}y\leq-2x-1\\y\leq x+5\end{array}\right}\\\boxed{Q2.\ 6\leq y-3\leq8}\\\boxed{Q3.\ y\leq x-4}[/tex]
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded above the line
>, ≥ - shaded below the line
=================================================
The slope intercept form of a line: y = mx + b
m - slope
b - y-intercept (0, b)
If m > 0, then the function is increasing
If m < 0, then the function is decreasing
==================================================
Q1.y = -2x - 1 → m = -2 < 0 and b = -1
decreasing function, y-intercept -1 → (0, -1)
y = x + 5 → m = 1 > 0 and b = 5
increasing function, y-intercept 5 → (0, 5)
y = 2x - 1 → m = 2 > 0, and b = -1
increasing function, y-intercept -1 → (0, -1)
y = -x + 5 → m = -1 < 0 and b = 5
decreasing function, y-intercept 5 → (0, 5)
From the picture we have
(1) increasing function and y-intercept 5 → y = x + 5
shaded below the solid line → y ≤ x + 5
(2) decreasing function and y-intercept -1 → y = -2x - 1
shaded below the solid line → y ≤ -2x - 1
=======================================================
Q2.[tex]9\leq y\leq11[/tex] subtract 3 from both sides
[tex]9-3\leq y-3\leq11-3\\\\6\leq y-3\leq8[/tex]
=======================================================
Q3.solid line (≤ or ≥)
shaded below the line (≤ or <)
y ≤ x - 4
A car travels at 40 miles per hour. Deb wrote the equation ys 40x, Deb then graphed the
equation and noticed that the point (3,120) was on the line, What does this point represent?
A.The car traveled 43 miles
B.120 hours,
C.The car traveled 120 miles In 3 hours,
D. The car traveled 3 miles In 120 hours,
E. The car traveled 120 miles In 40 hours,
Answer:
C
Step-by-step explanation:
The equation represents speed as a function of time. The point (3,120) implies that the car with a speed of 40 miles per hour, travelled a total of 120 miles in a time span of 3 hours.
Explanation:In this scenario, the equation ys = 40x relates the speed of the car (40 miles per hour) to the time travelled (x in hours). The 'y' in the equation represents the distance travelled by the car. So, when interpreting the point (3,120) on the graph for this equation, '3' refers to time (hours) and '120' refers to distance travelled (miles).
Thus, the point (3,120) on the graph signifies that the car travelled 120 miles in 3 hours, so the correct answer is C. The car traveled 120 miles In 3 hours.
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