Answer: 615= 140 + 19x
Step-by-step explanation:
19x represents the price per guess (x) how many people are coming. Good Luck!
To solve for the number of guests Taryn can invite, set up the inequality 140 + 19x < 615 and then solve for x.
Explanation:To solve for the number of guests Taryn can invite, we need to set up an inequality. Let x represent the number of guests. The total cost, C, can be calculated by adding the cost to rent the space, $140, to the cost per guest, $19, multiplied by the number of guests. So, the inequality can be written as 140 + 19x < 615.
To solve for x, we need to isolate it by subtracting 140 from both sides: 19x < 475. Finally, divide both sides by 19 to get the solution: x < 25.
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The number of fruit tarts that a baker makes each day is 40% of the total number of desserts she makes. On Monday, the baker makes 90 desserts total. What is the number of fruit tarts the baker makes on Monday?
Question 1 options:
36
50
54
225
Answer:
36 fruit tarts
Step-by-step explanation:
90 x .40 = 36
(80 Points)Explain why any of the four operations (+-x/)placed between the two terms 5 and-3/(radical sign) 8 will result in an irrational number.
5±x[tex]\frac{-3}{√8}[/tex] is an irrational number because there's a radical in the denominator. It wouldn't result in a whole number. It would have to be rationalized or smth
City A's population of 1115000 is decreasing at a rate of 15000 per year. City B's population of 698000 is increasing at a rate of 45000 per year. In how many years will the populations be equal? Form the equation and round the answer to the nearest whole number.
Answer:
7 years
Step-by-step explanation:
Let x be number of years the populations be equal
City A's population of 1115000 is decreasing at a rate of 15000 per year.
The population is decreasing at a constant rate so we use equation
y= mx + b
where m is the slope(rate), b is the initial population
m= -15000 (decreasing) , b= 1115000
y= -15000 x + 1115000
City B's population of 698000 is increasing at a rate of 45000 per year.
m= 45000 (increasing) , b= 698000
y= 45000 x + 698000
Now we set the equations equal and solve for x
45000 x + 698000 = -15000 x + 1115000
Add 15000 on both sides
60000 x + 698000 = 1115000
Subtract 689000 on both sides
60000 x = 417000
Divide by 60000 on both sides
x= 6.95
So after 7 years the population will be equal.
Final answer:
To find the number of years until the populations are equal, set up an equation based on the population change per year for both cities. Solve for the variable representing years, and round to the nearest whole number. The populations of City A and City B will be equal in approximately 7 years.
Explanation:
To solve for the number of years until the populations of City A and City B are equal, let's set up an equation. Begin with the populations at the starting point: City A has 1,115,000 residents and is losing 15,000 per year, while City B has 698,000 residents and is gaining 45,000 per year. Let x represent the number of years after which the populations will be equal.
For City A, the population after x years will be 1,115,000 - 15,000x. For City B, the population after x years will be 698,000 + 45,000x. Therefore, we can set up the following equation to find when they are equal:
1,115,000 - 15,000x = 698,000 + 45,000x
To solve for x, combine like terms and get all the x terms on one side:
1,115,000 - 698,000 = 45,000x + 15,000x
417,000 = 60,000x
Divide both sides by 60,000 to solve for x:
x = 417,000 / 60,000
x ≈ 6.95
Since we round to the nearest whole number, the populations will be equal in approximately 7 years.
PLEASE SHOW WORK
Solve using substitution
y=x+4
x-y=-4
y = x + 4 (*)
x - y = -4 (**)
Substitute (*) to (**):
x - (x + 4) = - 4
x - x - 4 = - 4
- 4 = - 4 TRUE
Answer: Infinitely many solutions.x ∈ R
y = x + 4
Answer:
x= -8 y= -4
Step-by-step explanation:
SOLVING FOR X
y=x+4
x-y=-4
----------------------
x-x+4= -4
-4 -4
---------------------
x-x= -8
x= -8
SOLVING FOR Y
plug in the x in any equation
y=(-8)+4
y= -8+4
y= -4
For points A(−4, 8) and B(6, −14), what is the y-coordinate of the midpoint of line segment AB?
Answer:
The y coordinate is -3
Step-by-step explanation:
To find the midpoint, we use
midpoint = (x1+x2)/2, (y1+y2)/2
You only ask for the y coordinate.
y midpoint = (y1+y2)/2
y midpoint = (8+-14)/2
= -6/2
= -3
Answer:
-3
Step-by-step explanation:
usatestprep answer
A coin is thrown at random into the rectangle below.

What is the likelihood that the coin will land in the green region?
It is certain.
It is impossible.
It is likely.
It is unlikely
Answer:
The answer is c hope it helps.
Step-by-step explanation:
Hence, option (C) is correct.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
The analysis of events governed by probability is called statistics.
As per the given information it would be option (C) i.e., it is likely
Hence, option (C) is correct.
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Help Pre-Calc
Fill in the blank question :
Calculate the average rate of change f(x) over the interval (-4,-1) using the formula ___________. The value of f(-1) is ____. The value of f(-4) is ____. The average rate of change of f(x) over the interval (-4,-1) is ____.
Answer:
Average rate of change = 2
Step-by-step explanation:
We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.
From graph we see that y=-3 when x=-4, So the point is (-4,-3)
From graph we see that y=3 when x=-1, So the point is (-1,3)
Now we can plug these points into average rate of change formula:
[tex]Average\ rate=\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]
where (a,f(a)) and (b,f(b)) are the given points.
[tex]Average\ rate=\frac{-3-3}{-4-\left(-1\right)}[/tex]
[tex]Average\ rate=\frac{-3-3}{-4+1}[/tex]
[tex]Average\ rate=\frac{-6}{-3}[/tex]
[tex]Average\ rate=2[/tex]
Hence final answer is 2.
an animal shelter has a ratio of dogs and two cats that are a 3.2 and there are 30 cats at the shelter how many dogs are there
Answer:
We have 45 dogs when we have 30 cats
Step-by-step explanation:
If the ratio of dogs to cats is 3:2
We want to get to 30 cats so we need to multiply by 15 (2*15 =30)
What we do on one side we do on the other
3*15 : 2 * 15
45 :30
We have 45 dogs when we have 30 cats
Write an equation for the line that is parallel to the given line and passes through the given point Y= 3x + 2; (1, 3)
m = 3 is the slope of the given line; also its the slope of anything parallel to the given line
(x1,y1) = (1,3) is the given point the parallel line goes through
y - y1 = m(x-x1) .... point slope form
y - 3 = 3(x - 1) .... plug in the given values; solve for y
y - 3 = 3x - 3
y - 3+3 = 3x - 3 + 3
y = 3x + 0
y = 3x
Final Answer: y = 3x
side note: if you plugged in x = 1 it leads to y = 3 which confirms that (x,y) = (1,3) is on this parallel line.
what is 181x182 if you guess this right you get a follow and a thank you and you can get 30$
Answer: c[p(g)] = 0.896g
Step-by-step explanation:
PLEASE HELP whats the rate of change per year?
Answer:
The rate of change per year equals: (125.000-180000)/ 5= -11000
That means that the business loses 11000 $ each year
Step-by-step explanation:
Chris needs $858 to buy a computer. She has already saved $575. She gets $15 an hour for babysitting and will babysit 12 hours in the next month. She can save &8 a week form her allowance. How many weeks of allowance will it take Chris to save enough to buy the computer?
Answer:
It will take Chris 13 weeks of allowance to save enough to buy the computer.
Step-by-step explanation:
Chris needs $858 to buy a computer.
She has already saved $575.
She gets $15 an hour for babysitting and will babysit 12 hours in the next month, then she will get for babysitting:
($15/hour)(12 hours)=$180
Then, Chris will need:
A=$858-$575-$180→A=$103
She can save &8 a week form her allowance, then she will need:
Number of weeks: n = $103 / ($8/week) → n=12.875 weeks
Rounding:
n=13 weeks
Chris will need 13 weeks of saving her allowance to have enough money to buy the computer.
Chris needs to save a total of $858 for a computer and has already saved $575.
To determine how many weeks she will need to save her allowance to purchase the computer, we must first calculate the additional amount she will earn from babysitting.
Chris earns $15 an hour for babysitting and will babysit for 12 hours in the next month, earning her an additional 15 x 12 = $180.
Adding this to her current savings of $575 gives us a total of $575 + $180 = $755.
The remaining amount needed to buy the computer is $858 - $755 = $103.
Since Chris saves $8 per week from her allowance, we divide the remaining amount by her weekly savings to find the number of weeks required: $103 / $8 = 12.875 weeks.
Since partial weeks of savings are not possible, we round up to the nearest whole number, which means Chris will need 13 weeks to save enough from her allowance to buy the computer.
Justin buys candy that cost 6$ per pound he will spend at most $66 on candy what are the possible numbers of pounds he will buy
The “Let’s Roll” game uses a number cube with the numbers 2,4,6,8,10 and 12. There are prizes for rolling any number less than 6.
Answer:
unlikely
Step-by-step explanation:
there is less that a 50 % chance
Answer:
unlikely is the answer
Solve the system of equations by substitution.
6 = −4x + y −5x − y = 21
Answer:
Solve the system by the elimination method.
2x + y = 20 6x – 5y = 12
Answer:
First, we solved the system of equations by substitution and found x = -3, y = -6. Then, by employing the elimination method, we determined the solution to the second system as x = 7, y = 6.
Explanation:To solve the system of equations by substitution and elimination, let's start with the substitution method.
Solve the system by substitution:
Given equations: 6 = −4x + y and −5x − y = 21.
Step 1: From the first equation, isolate y: y = 4x + 6.
Step 2: Substitute y in the second equation: -5x - (4x + 6) = 21.
Step 3: Solve for x: -9x = 27, so x = -3.
Step 4: Substitute x back into the equation for y: y = 4(-3) + 6 = -6.
Solution: x = -3, y = -6.
Solve the system by the elimination method:
Given equations: 2x + y = 20 and 6x − 5y = 12.
Step 1: Multiply the first equation by 5, and the second by 1, to align coefficients of y.
Step 2: Add the modified equations to eliminate y: 10x + 5y + 6x - 5y = 100 + 12.
Step 3: Combine like terms and solve for x: 16x = 112, so x = 7.
Step 4: Substitute x back into one of the original equations to solve for y: 2(7) + y = 20, so y = 6.
Solution: x = 7, y = 6.
which statement is true about f(x)=-2/3 x+4 -6
The graph of f(x) has a vertex of (–4, 6).
The graph of f(x) is horizontally stretched.
The graph of f(x) opens upward.
The graph of f(x) has a domain of x -6
Answer:
The correct answer is The graph of f(x) is horizontally stretched.
Step-by-step explanation:
We can tell it is horizontally stretched by the fact that there is a coefficient of less than 1 in the front.
We know that (-4, 6) isn't a vertex, because it is in vertex form. The vertex is the opposite of the number being added to x and the y value is the constant. Since the constant is -6, it is not a vertex.
The negative coefficient in the front makes it open down, so it doesn't open up.
The domain should be all real numbers as there is no number that cannot be put into the equation.
Evaluate (ab)^2 for a=3 and b=4
Answer:
144 is the answer
Answer:
144
Step-by-step explanation:
Steps:
a times b = 3 times 4. That equals 12.
Then you put 12^2. 12 times 12 equals 144.
how to find the volume of a sphere
Answer:
V = [tex]\frac{4}{3} \pi r^3[/tex]
Step-by-step explanation:
Final answer:
To find the volume of a sphere, use the formula: Volume = 4/3 (pi) (radius)^3
Explanation:
The volume of a sphere can be calculated using the formula:
Volume = 4/3 (pi) (radius)^3
To find the volume, you need to know the radius of the sphere. Plug in the value for the radius and then evaluate the expression using the order of operations. Finally, multiply the result by 4/3 and pi to find the volume of the sphere.
guys I really need help with part c) I literally have no idea how to this. given that tan(pi/8)=sqrt(2)-1. I am really looking forward to step-by-step explanation.
Answer:
[tex]a \geq \frac{1}{\sqrt{2} -1}[/tex]
Step-by-step explanation:
This equation is more intimidating than the problem you have to solve.
You know that the sine of everything is always between -1 and +1. So for the entire expression to be >= 0, the a*tan(pi/8) bit has to be 1 at least. Given this, we can forget about the sin(...) term of the equation for the remainder of solving it.
You already figured out that tan(pi/8) is sqrt(2)-1.
So what we're saying is a * (sqrt(2) - 1) has to be 1 at least.
If we solve a(sqrt(2)-1) >= 1 for a we get:
a = 1/(sqrt(2)-1)
[tex]c)\\\tan\left(\dfrac{\pi}{8}\right)=\tan\left(\pi-\dfrac{7\pi}{8}\right)=\tan\left(-\dfrac{7\pi}{8}\right)=-\tan\left(\dfrac{7\pi}{8}\right)\\\\=-(1-\sqrt2)=\sqrt2-1\\\\y=\sin(2x-1)+a\tan\dfrac{\pi}{8}\\\\\text{We know}\ -1\leq\sin(2x-1)\leq1.\\\\y\geq0\ \text{therefore}\ a\tan\dfrac{\pi}{8}\geq1\\\\\text{We have to move the graph at least one unit up}\\\\a(\sqrt2-1)\geq1\qquad\text{divide both sides by}\ (\sqrt2-1)>0\\\\a\geq\dfrac{1}{\sqrt2-1}\cdot\dfrac{\sqrt2+1}{\sqrt2+1}\\\\a\geq\dfrac{\sqrt2+1}{(\sqrt2)^2-1^2}[/tex]
[tex]a\geq\dfrac{\sqrt2+1}{2-1}\\\\a\geq\dfrac{\sqrt2+1}{1}\\\\a\geq\sqrt2+1\\\\Answer:\ \boxed{a=\sqrt2+1}[/tex]
Pierce wishes to purchase a municipal bond with a par value of $500 from Chattahoochee County, and he is trying to decide which broker he should employ to purchase the bond. Broker A charges a 3.1% commission on the market value of each bond sold. Broker B charges a flat $24 for each bond sold. If the bond has a market rate of 88.754, which broker will give Pierce the better deal, and by how much? a. Broker B’s commission will be $9.75 less than Broker A’s. b. Broker B’s commission will be $3.51 less than Broker A’s. c. Broker A’s commission will be $13.76 less than Broker B’s. d. Broker A’s commission will be $10.24 less than Broker B’s.
Answer:
(d)
Step-by-step explanation:
Bond's par value = $500
market value of the bond = 88.754% * 500
= 443.77
Commission rate charged by broker A = 3.1%
Commission of broker A = [tex]\frac{3.1}{100}[/tex]*443.77
= $13.75687
Commission of broker B = $24
Difference between the commission of broker A and broker B = 24-13.756
= $10.24
Hence, (d) Broker A's commission will be $10.24 less then Broker B's.
Answer:He should take the option one of sales commission of 3.1% on
each bond. If he takes the 2nd option, he is required to pay 24$ per
bond. But if he takes the ist option, he is required to pay 15.5$ per bond.
88.754 is the market rate. Total investment is of 500$. Multiply the commission
rate with the amount and you get 15.5 $. There is a difference of 8.5 dollars
between the two options.
The answer is D
pls answer its 10 points.
Answer: Choice A)
y + 3 = (2/3)(x - 5)
====================================================
Explanation:
Point slope form is
y - y1 = m(x - x1)
m = 2/3 is the given slope
(x1,y1) = (5,-3) is the point the line goes through
So we have
y - y1 = m(x - x1)
y - (-3) = (2/3)(x - 5)
y + 3 = (2/3)(x - 5)
Can some other help me it says In four games the basketball team scored 47,52,
63,and 66 points what is the meaning of the scores? what is the range of the scores? can someone please help me
Answer:
Mean: 57; Range: 19
Step-by-step explanation:
Convert 846 km/h to miles per hour. (Recall: 1 mi ≈ 1.61 km) a. 770 mi/h c. 525 mi/h b. 684 mi/h d. 465 mi/h
Answer:
answer is 525.
Hopefully I could Help :)
solve this problem please
Answer:
x=22
Step-by-step explanation:
1408/64
Answer:
22
Step-by-step explanation:
1,408/64
862.4×0.03? A.25.872 B.258.720 C.2587.200 D.25,872.000
Answer:
A) 25.872
Step-by-step explanation:
A tip when multiplying numbers that are decimals, make the numbers whole numbers without decimals:
862.4 * 10 = 8624
0.03 * 100 = 3
8624 * 3 = 25,872
Then divide by the amount you multiplied the numbers by:
25,872 ÷(100 * 10) = 25.872
So your answer is A) 25.872
Answer:
25.872
Step-by-step explanation:
you just line up the desimals and do your regular multipication.
True or false the angle bisector of a triangle could also be the perpendicular bisector
Answer:
true
Step-by-step explanation:
The angle bisector and perpendicular bisector of a triangle are distinct concepts.
False: The angle bisector and perpendicular bisector of a triangle are distinct concepts.
The angle bisector of a triangle divides the opposite angle into two equal angles, while the perpendicular bisector of a segment is a line perpendicular to a segment at its midpoint.
It is possible for the angle bisector of a triangle and the perpendicular bisector of different segments within the triangle to coincide, but in general, they are not the same.
Factor of 27x ( exponent of 3) - 125
[tex]\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\27x^3-125=3^3x^3-5^3=(3x)^3-5^3=(3x-5)[(3x)^2+(3x)(5)+5^2]\\\\=\boxed{(3x-5)(9x^2+15x+25)}[/tex]
Pls solve this plèeeeeeeeease
Answer:
[tex] \dfrac{5^7}{2} = \dfrac{78125}{2} [/tex]
Step-by-step explanation:
[tex] \left( \dfrac{4}{5} \right)^2 \times 5^4 \times \left( \dfrac{2}{5} \right)^{-2} \div \left( \dfrac{5}{2} \right)^{-3} = [/tex]
[tex] = \dfrac{4^2}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3} [/tex]
[tex] = \dfrac{(2^2)^2}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3} [/tex]
[tex] = \dfrac{2^4}{5^2} \times 5^4 \times \dfrac{5^2}{2^2} \times \dfrac{5^3}{2^3} [/tex]
[tex] = 2^{4 - 2 - 3} \times 5^{- 2 + 4 + 2 + 3} [/tex]
[tex] = 2^{-1} \times 5^{7} [/tex]
[tex] = \dfrac{5^7}{2} [/tex]
[tex] = \dfrac{78125}{2} [/tex]
Given g(x)=5x+1, find g(2)
g(2) This means that x is 2, so you can plug in 2 for "x" in the equation
g(x) = 5x + 1
g(2) = 5(2) + 1
g(2) = 10 + 1
g(2) = 11
To find the value of the function 'g(x) = 5x + 1' at x = 2, we substitute x with 2. Multiply 5 by 2 to get 10, then add 1 to get 11, so g(2) = 11.
Explanation:In the given function g(x) = 5x + 1, we are asked to find the value of g(2).
This involves replacing x in the function with 2. So, g(2) = 5(2) + 1. Multiply 5 by 2 to get 10, then add 1. This results in g(2) = 11.Learn more about Function Evaluation here:https://brainly.com/question/35863537
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Michelle earns seven dollars per hour and get the 10% commission on the sale price of each item she sells. She wants the work only 10 hours each week and has a weekly earnings goal of $200. Chief the inequality to find the total sale she mismate to reach her goal
Answer:
She must sell $1,300 to make her goal.
Step-by-step explanation:
In order to find this you can create an equation in which x is the total number of sales she makes. Firstly, you know she gets 10% (or .1) of that number.
y = .1x
We also know that she works 10 hours at $7 per hour. That means we can add $70 to the end.
y = .1x + 70
Now we are looking to make $200, which means we can put 200 in for y and solve for the total amount of sales.
200 = .1x + 70
130 = .1x
1,300 = x
Final answer:
Michelle must generate at least $1300 in sales each week to achieve her weekly earnings goal of $200, given that she works 10 hours per week at an hourly wage of $7 and earns a 10% commission on sales.
Explanation:
To calculate the total sales Michelle must achieve to reach her goal of $200 per week when she earns $7 per hour and a 10% commission on the sale price of each item, we'll set up an inequality. Michelle wants to work only 10 hours each week.
Her earnings from the hourly wage are $7hour times 10 hours, which gives us $70. Now, let's say the total sales she needs to make are represented by x. Therefore, 10% of x represents her earnings from commission. Michelle's weekly earnings goal is $200, so we can write the inequality as:
Hourly earnings: $7*10 hours = $70
Commission earnings: 10% of x (0.10x)
Total earnings (hourly + commission): $70 + 0.10x [tex]\geq[/tex] $200
To find the total sales required, we solve the inequality for x:
$70 + 0.10x [tex]\geq[/tex]$200
0.10x [tex]\geq[/tex]$130
x [tex]\geq[/tex] $1300
So Michelle must generate at least $1300 in sales to meet her weekly earnings goal of $200.