The variables are the number of candy bars and lollipops and their prices. The possible equality is 2x + 4y ≥ 180.
What are the variables?In mathematics, the variables are factors that might change. Due to this, in maths variables are often expressed using letters as their exact value is not known. Then the variables are:
Number of candy bars = xNumber of lollipops = yWhat inequality represents this situation?Based on the previous information, the correct inequality would be:
2x + 4y ≥ 180
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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(-2+6i)(-5 + 3i) answer
Answer:
-8 - 36i
Step-by-step explanation:
Sorting Quadratic Function Discriminants
Warm-Up
Determine the number and type of zeros of the quadratic function based on the value of the discriminant.
discriminant = 0
2 Real Number Solutions 1 Real Number Solution
discriminant = -36
discriminant = 3
discriminant = 2
discriminant = 100
discriminant =-4
Intro
0 Real Number Solutions
✓ Done
The number of zeros of the quadratic functions, considering their discriminant, is given as follows:
discriminant = 0: 1 Real number solution.discriminant = -36: 0 Real number solutions.discriminant = 3: 2 Real number solutions.discriminant = 2: 2 Real number solutions.discriminant = 100: 2 Real number solutions.discriminant = -4: 0 Real number solutions.What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
\(y = ax^2 + bx + c\)
The discriminant is:
\(\Delta = b^2 - 4ac\)
The solutions are as follows:
If \(\mathbf{\Delta > 0}\), it has 2 real solutions.If \(\mathbf{\Delta = 0}\), it has 1 real solutions.If \(\mathbf{\Delta < 0}\), it has 0 real solutions.Hence, for the given values of the discriminant, we have that:
discriminant = 0: 1 Real number solution.discriminant = -36: 0 Real number solutions.discriminant = 3: 2 Real number solutions.discriminant = 2: 2 Real number solutions.discriminant = 100: 2 Real number solutions.discriminant = -4: 0 Real number solutions.More can be learned about quadratic functions at https://brainly.com/question/24737967
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What number is b?
b +4= 10
Answer:
6
Step-by-step explanation:
b+4=10
-4 .-4
b=6
Answer:
b= 6
Step-by-step explanation:
subtract the answer (10) by the remaining 4, (so 10-4) which equals 6
For the exponential function f, find f^-1 analytically and graph both f and f^-1.f(x)=5^x-1
Given the function :
\(f(x)=5^x-1\)We will find the inverse of the function analytically as following :
\(y=5^x-1\)Solve for x
\(\begin{gathered} y+1=5^x \\ x=\log _5(y+1) \end{gathered}\)make y in the place of x. so,
\(\begin{gathered} y=\log _5(x+1) \\ \\ f^{-1}(x)=\log _5(x+1) \end{gathered}\)The graph of both function will be as shown in the following picture .
The given function f(x) = 5^x - 1 is the graph of the blue color
And the inverse with the red color
each function is written closer to its graph
Simplify the following expression.
-21 - (-11)
Answer:
-10
Step-by-step explanation:
well you know that
\((-)(-)=(+)\)
so we have
\(-21-(-11)\\\\=-21+11\\\\=-10\)
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir
The probability of winning the jackpot is 1/32728332.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).
Total number of white balls = 43
Number of combinations of selecting 5 from 43 = 43C₅
= 43! / (5! × 38!)
= 962598
Total number of gold balls = 34
Number of combinations of selecting 1 from 34 = 34C₁
= 34
Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332
There is only 1 way for which the player wins the jackpot.
Probability of winning the jackpot = 1/32728332
Hence the required probability is 1/32728332.
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I NEED THE ANSWER QUICK
9514 1404 393
Answer:
4^0
Step-by-step explanation:
The rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
So, your expression simplifies to ...
\(4^5\times4^{-7}\div4^{-2}=4^{5-7-(-2)}=\boxed{4^0}\)
k (x) = 6x + 100
k(-5) = ?
Answer:
im not super sure but i think its 70
Step-by-step explanation:
HELP PLEASE 40 Points both questions please
6. It's B. x2+y2=25
9. (x + 3)² + (y – 2)² = 25
Hope this helps since this is solved by a 10-year old girl, me.
Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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How do I find GBA and show all the work
Answer:
Angle ACB = 44°
There are two ways to solve it. Both are right
Solution number 1
From triangle ABC
angle BAC = 180°-(102° +44°) = 36°
Because BG is parallel with AC
Then angle GBA = angle BAC = 34°Another solution
The sum of angles in the shape AGBC = 360°
So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions to their limit values.
Answer:
see photo
Step-by-step explanation:
took the test
One right angle triangle measures 50° what is the measure of the other acute angle
Answer: 40°
Step-by-step explanation:
You add 90° for the right angle and 50° for the other and subtract from 180°
Which of the following numbers is between 4 1/3 and 4 3/5 on a number line?
A) 4.1
B) 4.2
C)4.3
D)4.4
The number 4.4 is between \(4 \frac{1}{3}$\) and \(4 \frac{3}{5}$\) on the number line, so the answer is (D) 4.4.
How to solve improper fraction?To solve this problem, we need to convert the mixed numbers 4 1/3 and 4 3/5 to improper fractions and then find a number between them on the number line.
\(4 \frac{1}{3}$\) can be written as \(\frac{13}{3}$\) and \(4 \frac{3}{5}$\) can be written as \(\frac{23}{5}$\).
To find a number between \(\frac{13}{3}$\) and \(\frac{23}{5}$\), we need to find a common denominator. The least common multiple of 3 and 5 is 15, so we can rewrite the fractions with a denominator of 15:
\($\frac{13}{3} = \frac{65}{15}$\)
and
\($\frac{23}{5} = \frac{69}{15}$\)
Now we can see that the number \(\frac{67}{15}$\) is between \(\frac{65}{15}$\) and \(\frac{69}{15}$\), and we can convert it back to a mixed number:
\($\frac{67}{15} = 4 \frac{7}{15}$\)
Therefore, the number 4.4 is between \(4 \frac{1}{3}$\) and \(4 \frac{3}{5}$\) on the number line, so the answer is (D) 4.4.
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what is the value of x?
help would be so appreciated!
Answer:
x =23
Step-by-step explanation:
ok first, the full degree of a straight line is 180°
subtract 38° out of 180°
180-38= 142
so 6x+4= 142°
subtract 4 from both sides of the equation
6x +4 -4= 142-4
6x=138
divide 6 from 6x and 138
x=23
write the english phrase as an algebraic expression. Let x represent the number
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
what if 5476 divided by 74? i need the working out too please!
I hope that the attachment helps you..
Do integers contain the whole numbers
A community center sells a total of 299 tickets for a basketball game. An adult ticket costs $4. A student ticket costs $1. The sponsors collect $587 in ticket sales. Find the number of each type of ticket sold.
Answer:
96 adult tickets203 student ticketsStep-by-step explanation:
The most expensive ticket is the adult ticket, so we'll use "a" to represent the number of those sold. Then (299-a) student tickets were sold, and total revenue was ...
4a +1(299-a) = 587
3a = 288
a = 96
96 adult tickets and 203 student tickets were sold.
the price of a new car is 23% more than the price of a 3-year old car. if the price of the new car was $12,400, what is the price of the 3-year old car?
Answer: To find the price of the 3-year old car, we need to determine how much less it is than the new car, which is 23% of the price of the new car.
We can start by finding the value of 23% of the price of the new car, which is: $12,400 x 0.23 = $2,832
Now we know that the price of the 3-year old car is $2,832 less than the price of the new car. To find the price of the 3-year old car, we subtract $2,832 from the price of the new car: $12,400 - $2,832 = $9,568
So the price of the 3-year old car is $9,568.
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
11
what is the reason why some digit from the account number have been left out
You put $400 in an account account balance nine months later is now $418 what is the annual interest rate
Answer:
6% a year
Step-by-step explanation:
r=(1/t)(A/p-1)
r= 1/9((418/400)-1) = 0.005
0.005*100 (for percentage) = 0.5%
rate monthly is 0.5%
0.5*12= 6
yearly is 6%
tia equally shares 8 cookies among herself and 4 friends which fraction shows how many cookies each person gets?
answers:
8/4
8/5
5/8
4/8
Answer: The answer is 8/5
Answer:
Each person gets 8/5 part of cookie
HELLO PLEASE HELP ME ASAP I WILL GIVE BRAINLEST!!!!!!
Answer:
v+21=69
Step-by-step explanation:
21 more than Vanessa's score would be represented as v+21. Then that should equal 69.
what is -57.17 as a mixed number
The value of 57.17 as a mixed number is - 57 17/100.
In simple terms, what is a mixed number?A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.
A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.
In this case, -57.17 will be:
= -57 + (17/100)
= -57 17/100.
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i will give brainliest
Answer:
Below
Step-by-step explanation:
Population: 10,000
Sample: 250
Question 1
You find a sales receipt from a store that shows the total price as $40, and the total amount paid including sales tax as $42.
a. Write an equation you can use to find the sales tax rate r.
An equation is 42=
.
Question 2
b. Can you use r to find the percent for the sales tax? Explain.
; You
multiply r by
to get the percent for the sales tax.
Answer:
net amount $40 my tax is 5.0% is $2 my gross amount is $42 including tax so the r would be the 5% which equals $2
Please help me I can’t get it right
=====================================================
Work Shown:
\(2\sqrt{b} + 5 = 11 - \sqrt{b}\\\\2x + 5 = 11 - x\\\\2x+x = 11 - 5\\\\3x = 6\\\\x = 6/3\\\\x = 2\\\\\sqrt{b} = 2\\\\b = 2^2\\\\b = 4\\\\\)
What I did for a good portion of the early steps is replace \(\sqrt{b}\) with x. Then I solved for x like with any normal equation. Once x is isolated, plug in \(x = \sqrt{b}\) and isolate b itself.
------------
Let's check the answer:
\(2\sqrt{b} + 5 = 11 - \sqrt{b}\\\\2\sqrt{4} + 5 = 11 - \sqrt{4}\\\\2*2 + 5 = 11 - 2\\\\4 + 5 = 11 - 2\\\\9 = 9 \ \ \ \ \checkmark\\\\\)
The answer of b = 4 is confirmed.
It's always a good idea to check the answer with any equation. This is especially true with square root equations because the solution might be extraneous (meaning that it works in some equations but not in the original starting equation).
If x = 2, solve for y. y = 6.3x y=[?]
Answer: y = 12.6
Step-by-step explanation:
Since x = 2 and y = 6.3 * x, y = 6.3 * 2.
6.3 * 2 is equal to 12.6, so y is 12.6.
Answer:
y = 12.6
Step-by-step explanation:
y = 6.3x x = 2
Solve for y.
y = 6.3(2)
y = 12.6
So, the answer is 12.6