Uri buys two burgers and a soda for $\$2.10$, and Gen buys a burger and two sodas for $\$2.40$. How many cents does a soda cost
The cost of soda as calculated from the data given is found to be as 0.9 cents.
the price of 1 burger = x
the price of 1 soda =y
Therefore, the equation for Uri and Gen becomes,
2x + y = $2.10
x+ 2y = $2.40
On solving these two equations we will get the value of x and y which represents their cost.
on multiplying equation 2 with 2 , we will get ,
2x + 4y = 4.80
Therefore , on subtracting equation 1 and 2 ,
2x + y = $2.10
- 2x + 4y = 4.80
=> -3y = - 2.7
=> y = 0.9
Therefore x will be ,
x+ 2y = $2.40
x+ 2(0.9) = $2.40
x + 1.8 = $2.40
x = 2.40 - 1.8
= 0.60
Therefore, cost of soda is 0.9 cents.
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help please u^u no links thanks
Answer:
x = 24
Step-by-step explanation:
The angles of a triangle added together equal 180⁰. Set up a simple equation to solve for x.
90⁰ + 42⁰ + (2x)⁰ = 180⁰
90 + 42 = 132
2x = 180 - 132
2x = 48
x = 24
Answer:
x = 24
Step-by-step explanation:
2x + 42 + 90 = 180
2x + 132 = 180
2x = 48
48/2 = x
x = 24
Have a nice day!
help please
A mirror is 8 inches by 15 inches. The distance between opposite corners of the mirror is ___ inches
Answer:
17
Step-by-step explanation:
8²+15²=289
√289=17
Remember, Pythagorean theorem
#8 Please answer the question
Answer:
22°
Step-by-step explanation:
angles in a triangle sum upto 180°
100+58+<b=180
<b=180-158
<b=22°
H) find the solution of the equation
In ( x + 2 ) = 4
how?
Answer:
x = 2
Step-by-step explanation:
If you look at the equation:
(x + 2) = 4
We just need to solve for x.
To solve for x, we can subtract the total by the addend, to get the variables value.
4 - 2 = 2
Therefore, the value of x is 2.
Witch problem strategy would be the best to solve this problem?
Austin, Texas is two hours ahead of San Diego, California. If the time in
Austin is 1:00 P.M., what time is it in San Diego?
A) guess, check and revise
B) use a formula
C) work backwards
D) write an equation
Answer: C
Step-by-step explanation:
You would work backwards. So it would be 1:00-2 hours so the answer would be 11:00 A.M
Hannah wants to simulate whether customers will choose a small, medium, or large drink, or no drink at a fast food restaurant.
Answer:
d. Some customers had more than one drink.
Step-by-step explanation:
The exact question is as follows :
Given - Hannah wants to simulate whether customers will choose a small, medium, or large drink, or no drink at a fast food restaurant. She decides to use digits from a random number table to represent the drink option a customer will order (0=no drink, 1=small drink, 2=medium drink, 3=large drink, ignore digits 4-9)
To find - Why does this NOT model the situation?
a. The choices are not equally likely to occur.
b. Some of the digits were ignored.
c. The choice are independent of each other.
d. Some customers had more than one drink.
Solution -
The correct option is - d. Some customers had more than one drink.
Reason -
If Customer order more than one drink, then also he has to order either of the digits.
So, Hannah can not be sure about the order that he wants single order or wants to repeat the order.
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
x ≥ 2
Step-by-step explanation:
the solid circle at 2 indicates that x can equal 2
the arrow points to the right indicating values of x greater than 2 , then the inequality being represented by the number line is
x ≥ 2
The container has 1 gallon of water. Each bottle holds 1/8 of a gallon. How many bottles of water does the container hold?
The total quantity of water that the container would have to hold is given as 8.
How to find the total quantity of waterWe know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.
We can use the following formula to find the number of bottles:
Number of bottles = Container size / Size of each bottle
We can substitute the values into the formula:
Number of bottles = 1 / (1/8) = 8
So the container can hold 8 bottles of water.
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express √832 in the form 4n where n is the integral
We can express √832 as 4(2√13).
What is definite integral?A definite integral of a function can be represented as the signed area of the region bounded by its graph.
Given is the root of 832 or √832.
Assume that {4n} is equal to {y}. So, we can write -
y = 4n
Squaring both sides, we get -
y² = (4n)² = (√832)²
y² = 16n² = 832
16n² = 832
n² = (832/16)
n² = 52
n = √52
n = 2√13
So, we can write (√832) as 4(2√13).
Therefore, we can express √832 as 4(2√13).
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Solve for x. Leave your answer in simplest radical form.
15 ft
x
HELP PLS ):
Answer:
11 = x
Step-by-step explanation:
Find the volume of the sphere. Leave your answers In terms of pi
Answer:
volume of the sphere
[tex] \frac{4}{3} \times \pi \times {r}^{3} \\ \frac{4}{3} \: \times \pi \times 1000 \\ 1333.333333333\pi {in}^{3} [/tex]
answer is option C
One-fifth of a bread loaf was shared equally among Herb, Dara, Mark, and Lily. What fraction of the original bread loaf did each person get?
Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.
What do you mean by proportion?A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.
What do you mean by ratio?A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.
Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.
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i need help with this pleaseee
Answer:
answer: 1/64 of 1.6%
Step-by-step explanation:
The answer is this because the probability of the spinner landing on green is 2/8 now that multiplied by itself 3 times equals 1/64 so 1/64 is the probability hope that helps!
Item 4 Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece. How long will each piece of rope be
The length of the shortest piece is 5, and the longest piece is 13 feet by solving the equations.
The length of the shortest piece is 5, and the longest piece is 13 feet.
the solution is as follows,
Greg has a piece of rope that is 18 ft long.
He wants to cut it into two pieces so that the longer piece is 2 ft less than three times the length of the.
Let the length of the shorter piece be x.
And the length of the longer piece is 3x -2.
Greg has a piece of rope that is 18 ft long.
Then,
longest piece+ shorter piece = 18
x + 3x -2 = 18
4x - 2 =18
4x = 18+2
4x = 20
x= 20/4
x = 5.
Therefore,
The length of the shorter piece is x =5.
And the length of the longer piece = 3x -2 = 3(5)-2 = 15-2 = 13
Hence, the length of the shortest piece is 5, and the longest piece is 13 feet.
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Can someone please help me with this algebra
Grace was born in 1995. How old will she be in 2027
Answer:
Grace will be 32 years old in 2027.
Answer: she will be 32 years old.
Step-by-step explanation:
A meteorologist set up rain gauges at various locations around a city and recorded the rainfall amounts in the table below. Use data in the table to create a line plot using 1/8 inches.
The data of the rainfall amount in inches to the locations are used to plot the attached line plot created with MS Excel.
What is a line plot?A line plot is a graph is the graphical display of data as check marks or points above a number line.
A line plot shows the frequency of the values in the data on the number line, using dots or check marks. The frequency of the data is shown above the specified locations on the graph of a line plot.
The line plot is therefore, indicative of how frequent particular values in the dataset are.
The possible data in the question are presented as follows;
Rainfall Amount; 1/8,[tex]{}[/tex] 3/8, 3/4, 3/4, 1/4, 1 1/4, 1/8, 1/4, 1, 1/8
Location; [tex]{}[/tex] 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
The frequency of the data in a tabular form are;
Rainfall [tex]{}[/tex] Frequency
1/8 [tex]{}[/tex] 3 locations
3/8 [tex]{}[/tex] 1 location
3/4 [tex]{}[/tex] 2 locations
1/4 [tex]{}[/tex] 2 locations
1 1/4 [tex]{}[/tex] 1 location
1 [tex]{}[/tex] 1 location
The above frequency values can be used to create the attached line plot created with MS Excel
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The mean of 4 5 6 7 8
Answer:
6Step-by-step explanation:
The mean of 4 5 6 7 8
there are 5 numbers in sequence, you can solve at a glance by looking at the number in the middle, or add the numbers and divide them by their number, in any case the answer will be 6
4 5 6 7 8 (6 is central)
or
(4 + 5 + 6 + 7 + 8) : 5 =
30 : 5 =
6
Help asap!!!!!!!!!!!
Answer:
hi there I am Madhumita a good time to explore new ways of learning and smart ways of learning and smart ways of earning a living the good work he is there a way to get lost in the given equation of state for the diagram
Type answer here.
Mollie is playing a game where she is
throwing darts at a wall filled with shapes.
Her current results are circle 7, square 4,
triangle 7, and pentagon 3. Which of the
followings statements is true?
A She is more likely to hit a square
than a triangle
B She is less likely to hit a circle than
a square.
C She is just as likely to hit a
triangle as a circle.
D She is certain to hit a circle.
6
Taking into account, the number of successful throws into different shapes, Mollie is just as likely to hit a triangle as a circle. i.e option C.
What is probability?A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
What is the significance of probability?Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.
Since, the number of throws of darts by Mollie is same for both the circle and triangle, there is equal likelyhood to hit the triangle as a circle. Which is the required true statement.
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monica says since all squares are rectangles, all rectangles are squares is she correct explain
Answer:
no, rectangles have 2 sets of parallel sides but in a square all sides are parallel
Answer:
no
Step-by-step explanation:
She is not correct because in the hierarchy squares are last. All squares are rectangles but not all rectangles are squares. Some rectangles do not have all the properties of a square.
Lorraine prepared a 1.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.5 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars
can Lorraine fill?
A.) 03 jars
B.)O4 jars
C.)05 jars
D.)O8 jars
If 1 gallon equals 4 quarts, Lorraine fill can 4 jars. Hence option B is the correct option.
What is the unit of an object?
The user can describe locations and dimensions in a wide range of various coordinate systems using unit objects. Every drawing is done in relation to a viewport, and the units determine the coordinate system to use there. "npc" is one example of a unit (coordinate system).
Given Lorraine filled a pot with tomatoes and the volume of the pot is 1.5 gallons.
She wants to fill the tomatoes in jars. The volume of the jar is 1.5 quarts.
1 gallon is equal to 4 quarts.
1.5 gallons is equal to 1.5 × 4 quarts = 6 quarts.
The number of jars that are filled with tomatoes is 6 quarts/ 1.5 quarts = 4.
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I need help please and thank you
Answer:
One possible equation is 2m+16 = 40
There are other possible equations to set up as well.
That equation solves to m = 12 which means both plans cost the same when you go 12 MB over the limit (using 27 MB total).
===============================================================
Explanation:
The unlimited plan costs $40 a month no matter how much data you use.
The second plan costs $16 a month, and there are no extra fees as long as you don't go over the limit of 15 MB. If you do exceed this limit, then you're charged an extra $2 per MB. That means an extra 2m dollars is tacked onto the 16 mentioned earlier, where m is the amount of MB you've gone over the limit. Overall, the expression 2m+16 represents the cost of the second plan. If you don't go over the limit, then you'll use m = 0 for the second plan.
Set that expression equal to 40 to set up the equation. Solving the equation leads to...
2m+16 = 40
2m = 40-16
2m = 24
m = 24/2
m = 12
If you exceed the limit by 12 MB, then both plans cost the same at $40 per month.
Note: Going 12 MB over the limit means you've used 15+12 = 27 MB.
Sally completely solves at least 7 calculus problems per hour and at most 10 calculus problems per hour. Based on this information, what is a possible number of calculus problems that Sally can completely solve in five hours?
Sally can solve minimum of 35 calculus problem and maximum of 50 calculus problem.
What does calculus mean in plain English?Calculus is a branch of mathematics that focuses on rates of change, to put it simply. For instance, you might want to determine how quickly a car will slow down as it approaches a stop sign. Calculus can assist you in calculating that change. Calculus introduces movement into math, that's correct!
Calculus is used by who?Calculus is useful in many different fields, including engineering, medicine, biological research, economics, architecture, space science, electronics, statistics, and pharmacology.
minimum = 35
maximum=50
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PLEEEEEEEEEEEASE HELP
Answer:
x=6
Step-by-step explanation:
x+54+5x=90
6x+54=90
6x=90-54
6x=36
x=36/6
x=6
plz mark as brainiest
1. Find the median of the following set of data.
55, 46, 48, 57, 46, 53, 50, 47
Answer:
51.5
Step-by-step explanation:
i think not sure if there's an odd number of numbers you get the 2 numbers add them up and divide them by 2! hope this helps! good luck.
Lynn is a zoo keeper at mattock zoo.Her hourly rate is $6.85.she earns $328.80 every week.how many hours does she works in a week?show working
Answer:
48 hours
Step-by-step explanation:
you would divide the total by the part (328.80/6.85) and that would give you her hours. hope this helps
Answer:
48 hours
Step-by-step explanation:
328.80 ÷ 6.85=48 hours in a week
What is the degree of the polynomial 7x3 5x 4x5 2x2?
The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .
The given polynomial is 7x³ + 5x + 4x⁵ + 2x²
To find the degree of the polynomial we will write the equation down in the descending power of x
which is ,
4x⁵ + 7x³ + 2x² + 5x
Here , the highest power of the variable that appears with nonzero coefficient is 5.
So ,degree of the polynomial is said to be 5.
The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.
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Math! :( no links answer correct for brainliest!