at a concession stand, five hotdogs and two hamburgers cost $11.50; two hot dogs and five hamburgers cost $13.00. find the cost of one hot dog and the cost of one hamburger.
Which expression is equivalent to the given expression? −(2n−6)
A)−2(n−3)
B)2(n−6)
C)2n−6
D) 2n + 6
Answer:
Option A [tex]-2(n-3)[/tex]
Step-by-step explanation:
we have
[tex]-(2n-6)[/tex]
Eliminate the parenthesis
[tex]-(2n-6)=-2n+6[/tex]
Verify each case
case A) [tex]-2(n-3)[/tex]
[tex]-2(n-3)=-2n+6[/tex]
therefore
[tex]-2n+6=-2n+6[/tex] -----> is true
case A is equivalent to the given expression
case B) [tex]2(n-6)[/tex]
[tex]2(n-6)=2n-12[/tex]
therefore
[tex]-2n+6\neq2n-12[/tex]
case B is not equivalent to the given expression
case C) [tex]2n-6[/tex]
we have that
[tex]-2n+6\neq2n-6[/tex]
therefore
case C is not equivalent to the given expression
case D) [tex]2n+6[/tex]
we have that
[tex]-2n+6\neq2n+6[/tex]
therefore
case D is not equivalent to the given expression
For which pairs of functions is (fOg)=12x
How do you put the sentence "5 thumb drives have 9 gigabytes more capacity than 1 compact disk." into a linear equation?
what does g-7=15 equal to?
On the first day of the year, you have $700 in your bank account. You spend $35 per week. Your friend starts the year with $450 in his bank account. He saves $15 per week.
Solve the equation 700 – 35w = 450 + 15w to find out how many weeks, w, it will take for you and your friend have the same amount of money in your accounts.
The temperature is 1 degrees Fahrenheit at dusk it is8 degrees colder at dawn what is the temperature at dawn ??
Will mark Branliest Plz help
Find the measure of ∠G.
Please help me get this answer right
twice the difference of a number and 3
Twice the difference of a number and 3 will be as follows:
2x - 3
How to express words into an equation?The statement says "twice the difference of a number and 3".
Let
the number = x
Therefore,
twice the number = 2x
Finally, twice the difference of a number and 3 will be as follows:
2x - 3
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Write a division story problem with 53 as the divisor and 2491 as the dividend
the zeros of the functions f(x) = 3x^2 - 3x - 6
Lydia makes 10 pancakes she tops each pancake with for blueberries how many blueberries does Lydia use in all use the break apart and distribute strategy and draw a number bond to solve
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total number of blueberries that Lydia will need is 40 blueberries.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Lydia makes 10 pancakes she tops each pancake with blueberries. Therefore, the total number of blueberries that Lydia will need is,
Total number of blueberries
= Number of pancakes × Number of blueberries used on each pancake
= 10 pancakes × 4 blueberries per pancake
= 40 blueberries
As per the distribution strategy, we can draw 10 circles and then 4 mini circles on each circle to represent blueberries. Therefore, we can make the drawing as shown below.
Hence, the total number of blueberries that Lydia will need is 40 blueberries.
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what transformation transforms (a,b) to ( a, -b)?
a) a translation of 1 unit down
b)a translation of 1 unit up
c)a reflection over the y-axis
d)a reflection over the x-axis
As Mars revolves around the sun, it travels at a speed of approximately
15
miles per second. Convert this speed to miles per minute. At this speed, how many miles will Mars travel in
4
minutes? Do not round your answers.
Final answer:
To convert Mars' speed from 15 miles per second to miles per minute, multiply by 60 to get 900 miles per minute. Multiplying this by 4 gives the distance Mars will travel in 4 minutes, which is 3600 miles.
Explanation:
As Mars revolves around the sun, it travels at a speed of approximately 15 miles per second. To convert this speed to miles per minute, you simply multiply by the number of seconds in a minute:
15 miles/second × 60 seconds/minute = 900 miles per minute.
At this speed, to find out how many miles Mars will travel in 4 minutes, you multiply Mars' speed in miles per minute by the number of minutes:
900 miles/minute × 4 minutes = 3600 miles.
Therefore, Mars will travel 3600 miles in 4 minutes at the speed of 15 miles per second.
Julia has been saving money for a new Tv. The Tv normally costs $340 but is on sale for 30% off. How much money does Julia need to buy the tv?
Kaleb rode his bike at a rate of 10 mph for 2 hours. How far did he ride?
16 miles
20 miles
30 miles
36 miles
Ava is 9 years old. Rose is 11 time as old as ava. How old is rose?
Why do u think rates are usually written as unit rates
The rate usually written for the amount of things is changing in one unit.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio indicates the rate of change in the other (dependent) factor if the base of the ratio is written as a cohesive block of one of these variables, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).
The rate usually written for the amount of units anything in one unit of something.
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The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?
Answer:
Step-by-step explanation:
12 dollars
and 14 dollar coins
Answer: 12 quarters and 14 dollars
Step-by-step explanation:
Rebecca is at the zoo with her family. She sees 3 times as many elephants as cheetahs. There are 4 cheetahs. How many animals did she see all together?
Daniel's basic cell phone rate each month is $29.95. Add to that $5.95 for voice mail and $2.95 for text messaging. This past month Daniel spent an additional C dollars on long distance. His total bill was $62.35. How much did Daniel spend on long distance?
Answer: Daniel spent $23.5 on long distance
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given.
So, Daniel's total bill (62.35) is equal to the sum of the cost of all the services: Basic cell phone rate (29.95); voice mail (5.95); text messaging (2.95); long distance (C)
Mathematically speaking:
29.95+5.95+2.95+C = 62.35
Solving for C
38.85+C =62.35
C =62.35-38.85
C =$23.5
Daniel spent $23.5 on long distance
What is 1,334 divided by 23? A) 53 B) 56 C) 57 D) 58
The answer is D 58
5. A map of Texas has the following scale.
1 cm = 50 km
The distance from Austin to Dallas measures 6 centimeters on the map. What is the actual distance ?
(1 point)
56 km
156 km
300 km
600 km
Answer; 300km .
Because 50x6 is 300.
A crack in a water main pipe leaks 7 gallons of water each hour. What volume of water has moved though the crack after 9 hours?
Ribbon ones are made from strips of ribbon tied to sticks Connie has 84 feet of red ribbon 48 feet of blue ribbon and 72 feet of white ribbon she wants to cut the ribbon into equal links that are as long as possible so that no ribbon is wasted
A computer sells for $430 which is 75% reduction of the original price. What is the original price of the computer?
combining like terms
simplify the expression
-r - 10r
-r-10r
-r is = to -1r
so you have -1r - 10r
which simplifies to -11r
Which set of data could be used for the box-and-whisker plot shown below?
27, 35, 35, 32, 24, 34, 36, 27, 38
27, 35, 35, 32, 26, 32, 36, 27, 38
27, 35, 35, 32, 25, 34, 36, 27, 38
27, 35, 35, 32, 26, 34, 36, 27, 38
The dataset that can be used for box-and-whisker plot is 27, 35, 35, 32, 26, 34, 36, 27, 38.
What is the data set?A box plot is used to study the distribution and level of a set of scores. The whiskers represent the minimum value and the maximum value.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Minimum value = 26
Maximum value = 38
Q1 = 27
Median = 34
Q3 = 35
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