Since we can't find an ordered pair (x, y) that satisfies all the conditions, there is no solution to this problem.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It typically contains variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true. Equations can be used to model relationships between variables, solve real-world problems, and make predictions.
Here,
Let's start by defining the variables:
x: number of hot dogs
y: number of peanuts
We need to find an ordered pair (x, y) that satisfies the following conditions:
x and y are both integers
x is greater than or equal to 0
y is greater than or equal to 0
2x + y ≤ 7 (total cost of snacks can't exceed $7)
x ≥ 4 (at least 4 snacks)
We can use trial and error to find a suitable ordered pair. Let's start with x = 4 and see if we can find a corresponding y value that satisfies the conditions:
If x = 4, then the total cost of hot dogs is 4 * $2 = $8.
We need to spend no more than $7, so we have $7 - $8 = -$1 left for peanuts.
Since we can't spend a negative amount of money, there is no solution for x = 4.
Let's try x = 5:
If x = 5, then the total cost of hot dogs is 5 * $2 = $10.
We have $7 - $10 = -$3 left for peanuts, so there is no solution for x = 5 either.
Finally, let's try x = 6:
If x = 6, then the total cost of hot dogs is 6 * $2 = $12.
We have $7 - $12 = -$5 left for peanuts, so there is no solution for x = 6 either.
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Complete question:
Cody has $7 dollars. he wants to buy at least 4 snacks. Hot dogs (x) and $2 each. Peanuts (y) are $1 each. Find the solution for this question of equation?
What is the volume of this pyramid?
Enter your answer in the box.
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
Simplify the following expression.
(38x+61y)-(3x-11y)
the answer is 35x+72y for plato im only putting this question up to help people with the same problem i had, ill give brainliest out to the first person who works this out and gives a intelligent response.
Answer:
35x+72y
Step-by-step explanation:
well you are subtracting the terms 3x and -11y from the terms 38x and 61y. so to start you multiply 3x and -11 by negative one to get rid of the parentheses. you then you combine like terms.
If a state issued license plate using the scheme of two letters followed by four digits, how many plates could it issue?
Using the Fundamental Counting Theorem, it is found that it could issue 6,760,000 plates.
Fundamental counting theorem:
States that if there are n things, each with \(n_1, n_2, …, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
In this problem:
Two letters, for each there are 26 outcomes, hence \(n_1 = n_2 = 26\)Four digits, for each there are 10 outcomes, hence \(n_3 = n_4 = n_5 = n_6 = 10\)Then, applying the theorem:
\(N = 26^2 \times 10^4 = 6760000\)
It could issue 6,760,000 plates.
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The winner of a 200 mile race drove his car to victory at a rate of 108.4493 mph. What was his time to the nearest thousandth of an hour)?
Answer:
The answer is 1.844 sStep-by-step explanation:
From the question the time taken can be found by using the formula
\(t = \frac{d}{v} \\ \)
where
d is the distance
v is the velocity
From the question we have
\(t = \frac{200}{108.4493} \\ = 1.844179...\)
We have the final answer as
1.844 s to hr the nearest thousandthHope this helps you
Answer:
108.449
Step-by-step explanation:
What are the possible solutions for the following inequality? 2(x-3) - 4x >8
Answer:
x is less than -7
Step-by-step explanation:
I'm not sure how to get the greater than or less than symbols, so I used the "greater/less than or equal to" symbols to represent those...
\(2(x-3)-4x\geq 8\\2x-6-4x\geq 8\\2x-4x-6\geq 8\\-2x-6\geq 8\\-2x\geq 8+6\\-2x\geq 14\\x\geq -7\\x\leq -7\)
what are the x intercepts of y=4x^2-12x+4
The x-intercepts of the given equation 4x^2-12x+4 is -3/2
What is Quadratic equation ?
Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0
where c is a constant.
Given equation ,
y = 4x^2+12x+4
so we have to find the x-intercept , make y = 0
and we have to solve for the given quadratic equation
so,
we get
4x^2+12x+4 = 0
(2x)^2 + 9 + 12x = 0
(2x+3)^2 = 0
x = -3/2
There is double root unique intercept or tangent at x = -3/2
Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2
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Help help help please please
◊ Hello there! ◊
◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦
7x+4/3<6
Get rid of the denominator first by multiplying both sides by 3:
7x+4<18
Now, move all the numbers to the right, using the opposite operation:
7x<18-4
7x<14
Divide both sides by 7:
x<2
Therefore, x<2 ✔︎Hope this helps!
~Just a felicitous gal
#HaveANiceDay
\(SilentNature \\;)\)
HELPPPPOMOGMGOGMGOGKM PLS ANSWER THIS CORRECTLY PLZZZ THIS IS FOR A VERY IMPORTANT TEST YOUWILL GET BRAINLIEST HELP
Answer:
i cant give u the answer but here is an example hope this helps slope = "rise over run" the difference in y values divided by the difference in x values
= 6/-3 = -2 = m. It's negative because as x increases, y decreases
plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)
y+2 = -2(x-2)
simply if you want
Y = -2x +4 -2 = -2x +2
or
2x +y = 2
Step-by-step explanation:
Answer:
Your slope is -1
Your y inter is -3
Step-by-step explanation:
Hope this helps you :)
6. Maggie works at The Drug Store five days a week. Last week, she worked a
total of 35 hours. She worked the same number of hours every day, except
Saturday, when she worked 11 hours. How many hours did she work on the
other days?
Answer: 7
and maybe 5.83
Step-by-step explanation:
If she worked 5 days a week, and worked the same hours of those days, then the answer is 7. You simply divide 35/5 which gives you that answer. And they’ve already given you the answer for Saturday, so yeah.
But you did say she only worked 5 days a week—in 35 hours. And you also said “how many hours did she work on the other days”. If Saturday’s hours was already stated, then are you implying she worked for 6 days instead of 5? Because there’s 7 days a week and if Saturday is unaccounted for, then she worked 6 days. In that case, your answer would be 5.83.
Kyle and Tess form equations using two
numbers, a and b.
Kyle triples a, and then adds two lots of b. He
gets a total of 25.
Tess multiplies a by five, and then adds four
lots of b. She gets a total of 43.
Work out the values of a and b.
The values of a and b are 7 and 2 respectively.
Solving equation involving word problemLet's represent Kyle's equation as:
3a + 2b = 25
And Tess's equation as:
5a + 4b = 43
We can solve this system of equations by elimination. Let's multiply the first equation by 4 and the second equation by -2, and then add them together:
12a + 8b = 100
-10a - 8b = -86
2a = 14
Therefore, a = 7. We can substitute this value into either equation to find b. Let's use Kyle's equation:
3a + 2b = 25
3(7) + 2b = 25
21 + 2b = 25
2b = 4
b = 2
So, the values of a and b are a = 7 and b = 2.
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where is the opposite of the opposite of -1.9 situated on the number line
Answer:
b
Step-by-step explanation:
which is larger the number of meters in the Milky Way or the number of cells in all humans
Answer:
the number of meters in the milky way
Step-by-step explanation:
becuse the world is infinite
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
For Zendaya's lemonade recipe, 3 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in cups of lemonade per lemon?
The unit rate of cups of lemonade per lemon is in the ratio of 6:1.
What is the unit rate?The unit rate is the ratio of two or more quantities or values that are compared to one another.
Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.
Zendaya's Lemonade Recipe:The number of lemons required to make 18 cups of lemonade = 3 lemons
Rate of lemonade per lemon = 18/3 = 6/1
Ratio = 6:1 or 1:6
Conversely, the rate of lemon per cup of lemonade = 1/6
Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.
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The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?
Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.
How to compute the aboveThe area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:
(3/2)x² = 324
To solve for x, we can rearrange the equation and take the square root of both sides -
x² = (324 * 2) / 3
x² = 216
x ≈ √216
x ≈ 14.7
Hence , the length of the side of the smaller square is approximately 14.7 feet.
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Solve the equation? Help Please !!!?!?! 3-x/2>12
Answer:x<-18
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
-1/2x+3>12
Step 2: Subtract 3 from both sides.
-1/2x+3-3>12-3
-1/2x>9
Step 3: Multiply both sides by 2/(-1).
(2/-1)*(-1/2x)>(2/-1x)*(-1/2x)
X<-18
:D
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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Please help me!! I need help asap
|4x+3|<5
Please help me do this simple question
Step-by-step explanation:
Given problem:
|4x+3|<5
From the problem, we need to find x;
|4x+3|<5
To solve absolute values problem like this, use the approach below;
|4x+3|<5
4x + 3 < 5 or -(4x + 3) < 5
4x < 5 - 3 or -4x - 3 < 5
4x < 2 or -4x < 5 + 3
x = \(\frac{2}{4}\) or -4x < 8
x = \(\frac{1}{2}\) or x > \(\frac{8}{-4}\) = -2
(when dividing or multiplying by a negative value, the sign changes)
. Order the following numbers from least to greatest: 3√2 , √3 − 1, √19 + 1, 6,
2√10 ÷ 5 and √14.
pls someone help me
The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
What is ascending order?An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.
Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.
We need to order them from least to greatest,
3√2 = 4.24
√3 − 1 = 0.73
√19 + 1 = 5.35
6
2√10 ÷ 5 = 1.26
√14 = 3.74
The order from least to greatest is :-
0.73, 1.26, 3.74, 4.24, 5.35 and 6
i.e.
√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
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35 divided by -5 with steps
Answer:
-7 is the ans
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
a positive divided by a negative is negative
35/-5
-(35/5)
-(7)
-7
PLS HELP WILL GIVE BRAINLIEST IF CORRECT (NO LINKS)
Find the measure of arc BC.
Answer: A 129
Step-by-step explanation:
Because the 2 chords are the same (lines in the circle), the 2 arcs are the same create an equation that makes them equal
3x+24 = 4x -11 >bring x to one side by subtracting both sides by 3x
24 = x -11 > add both sides by 11
35 = x
Now that we have solved for x you need to plug that back into the equation for BC
BC= 4x-11
BC = 4(35) - 11
BC = 140 - 11
BC = 129 >A
Construct a box-and-whisker
16, 12, 13, 14, 16, 18, 15, 17, 20, 12, 14, 15, 15
graph using the following data.
Given statement solution is :- Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:
Sort the data in ascending order:
12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20
Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:
Median = 15
Find the lower quartile (Q1), which is the median of the lower half of the data set.
Counting from the start, the lower half of the data set is:
12, 12, 13, 14, 14
Q1 = 13
Find the upper quartile (Q3), which is the median of the upper half of the data set.
Counting from the end, the upper half of the data set is:
17, 18, 20
Q3 = 18
Find the minimum and maximum values in the data set:
Minimum = 12
Maximum = 20
Now that we have the necessary values, we can construct the box-and-whisker plot:
lua
Copy code
| |
12 | -------------|
13 | |
14 | ----
15 | -------
16 | -------------|
17 | |
18 | ----
20 | |
|_________________|
In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
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A rectangular container is 20cm long and 25cmwide. If the volume is 5000 cubic centimeters whenfull, what is the height of the container?Show your work.
Given:
\(\text{length(l)}=20\operatorname{cm};wide(w)=25cm;Volume=5000cm^3\)To find : height (h)
\(\text{Volume of a retangular }container=l\times w\times h\text{ cubic units}\)\(5000=20\times25\times h\)\(\frac{5000}{20\times25}=h\)\(h=\frac{5000}{500}\)\(h=10\)Therefore, the height of the container is 10 cm
33. Due to some error in a weighing scale, it shows the following reading when at rest (no weight is placed on it). Neerja measured her weight on this scale. The weight shown on the scale was 28 kg. What should she do to find out her correct weight?
(A) Add 2 kg to the weight shown. (B) Subtract 2 kg from the weight shown.
(C) Subtract 28 kg from the weight shown. (D) Add 4 kg to the weight shown
Answer:
The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A
48.9 is 58% of what number?
Answer:
84.48
Step-by-step explanation:
Formula = Number x 100
Percent = 49 x 100
58 = 84.48
Y varies inversely with x. If Y=17 and k(The constant of variation) =76, what is x? Round to the nearest tenth if necessary.
Answer:
x ≈ 4.5
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = \(\frac{k}{x}\) ← k is the constant of variation
Here k = 76 and y = 17 , thus
17 = \(\frac{76}{x}\) ( multiply both sides by x )
17x = 76 ( divide both sides by 17 )
x ≈ 4.5 ( to the nearest tenth )
The sale price of a pair of pants is $24. This sale price is 80% of the original price. What was the original price?.
Answer:
$30
Step-by-step explanation:
x = original price
0.8x = 24
8x = 240
x = 30
In a quadratic equation a^2+ bx + c = 0, why is it that the value of a cannot be equal to zero?
Answer:
Someone please help me because i have this question on my test someone please help us
Step-by-step explanation:
The area of the outer rectangle above is 80 ft, and the area of the inner rectangle is 68 ft. What is the area of the shaded region?
Answer:
B
Step-by-step explanation:
is the right answer
The area of the shaded region is 12 feet². The correct option is A.
What is a rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that the area of the outer rectangle above is 80feet². The area of the inner rectangle is 68feet². The area of the shaded region=area of the outer rectangle- the area of the inner rectangle.
The area of the shaded region=(80-68 )feet²
The area of the shaded region= 12feet²
Thus, the area of the shaded region is 12feet².
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