Answer:
$5.
Step-by-step explanation:
Let h be the cost of each hamburger meal and r be the cost of each rib meal.
We have been given that the math team math team sold 42 hamburger meals and 15 ribs meals at the pep rally for a total of $243. We can represent this information in an equation as:
[tex]42h+15r=243...(1)[/tex]
We are also told that math team also sold 36 hamburger meals and 30 ribs meals for a total of $294. We can represent this information in an equation as:
[tex]36h+30r=294...(2)[/tex]
We will use substitution method to solve our system of equations. From equation (1) we will get,
[tex]h=\frac{243-15r}{42}[/tex]
Substituting this value in equation (2) we will get,
[tex]36(\frac{243-15r}{42})+30r=294[/tex]
[tex]6(\frac{243-15r}{7})+30r=294[/tex]
[tex]\frac{1458-90r}{7}+30r=294[/tex]
Now let us have a common denominator.
[tex]\frac{1458-90r}{7}+\frac{7*30r}{7}=294[/tex]
[tex]\frac{1458-90r}{7}+\frac{210r}{7}=294[/tex]
[tex]\frac{1458-90r+210r}{7}=294[/tex]
[tex]\frac{1458+120r}{7}=294[/tex]
[tex]\frac{1458+120r}{7}\times 7=294\times 7[/tex]
[tex]1458+120r=2058[/tex]
[tex]1458-1458+120r=2058-1458[/tex]
[tex]120r=600[/tex]
[tex]\frac{120r}{120}=\frac{600}{120}[/tex]
[tex]r=5[/tex]
Therefore, the cost of 1 rib meal is $5.
Can 1.3 be turned in to a fraction
Literal equations
A=bh/2
solve for h
The value of the given equation A = bh/2 for h will be (2A)/b.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation.
As per the given equation,
A = bh/2
Multiply by 2 on both sides,
2A = (bh)/2 x 2
2A = bh
Divide both sides by b,
(2A)/b = bh/b
(2A)/b = h
Hence "The value of the given equation A = bh/2 for h will be (2A)/b".
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Write an equation for each line. y intercept of -2.1, x intercept of 3.5
The equation of a line with given x and y intercept is y=0.6x-2.1.
What is a x-intercept?The x-intercept for any curve is the value of the x-coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.
Given that, y intercept is -2.1 and x intercept is 3.5.
Here, the coordinates are (0, -2.1) and (3.5, 0)
Now, slope m=(0+2.1)/(3.5-0)
= 2.1/3.5
= 0.6
Substitute m=0.6 and c= -2.1 in y=mx+c, we get
y=0.6x-2.1
Therefore, the equation of a line is y=0.6x-2.1.
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Audrey has some guppies in a fish tank. The ratio of the orange guppies to silver guppies is 3:5. She has 12y orange guppies. Write the number of silver guppies she has in terms of y.
240-15m=200-5m
HELP ME
Death will most likely occur following exposure to: 100 R's 200 R's 500 R's
Nuts cost $1.75 per jar. How many jars can you buy with $14?
for every 300 kids in high school 2/3 of them take a language. What is the value of a number of students who dont take a language to the number that do?
Write a definition of rounding IN YOUR OWN WORDS!!!!
Which statement is true? 500 is 10 times as much as 50
This Statement is true because
10 x 50 = 500
Good Luck! <3
Jonathan is looking for a part-time job in order to make some extra money after school. The shoe store wants to pay him $7.85 per hour;the clothing store wants to pay him $7.58 per hour;and the pet store wants to pay him $7.65 per hour. Where will Jonathan make the most per hour?
In comparing the rates of pay offered by the shoe store, clothing store, and pet store, Jonathan will make the most money per hour working at the shoe store, which offers $7.85 per hour.
Jonathan is considering three different part-time job offers, each with a different hourly pay rate. The shoe store offers $7.85 per hour, the clothing store offers $7.58 per hour, and the pet store offers $7.65 per hour. To maximize his earnings, Jonathan should choose the job that pays the highest hourly rate. By comparing these rates, we can see that the shoe store, which offers $7.85 per hour, pays the most. Therefore, Jonathan will make the most per hour working at the shoe store.
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Help me pleaseeee :/
Ms. Merullo rounded the number 647,483 to 650,000. What place did she round her number to?
If teamwork and support are high on your priority list, a _______ may be a poor choice for a business.
A. close corporation.
B. corporation.
C. sole proprietorship.
D. partnership.
Answer:
C. Sole proprietorship
Explanation:
This was correct for the PF test.
Hope this helps! :)
If teamwork and support are high on your priority list, a closed corporation
maybe a poor choice for a business.
Option A is the correct answer.
What is a closed corporation?A closed corporation is a smaller corporation held by a smaller number of shareholders and is not publicly traded.
We have,
Teamwork and support are high on your priority list.
This means,
We need more people and support from people.
So,
A closed corporation may be a poor choice.
Thus,
If teamwork and support are high on your priority list, a closed corporation
maybe a poor choice for a business.
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k/π = 6.7 (Solve For k)
tasha's bedroom is shaped like a square. The room has an area of 169 ft what is the length of one side of tasha's bedroom?
The length of one side of Tasha's bedroom is 13 ft. and this can be determined by using the formula of the area of the square.
Given :
Tasha's bedroom is shaped like a square. The room has an area of 169 ft.The following steps can be used in order to determine the length of one side of Tasha's bedroom:
Step 1 - The formula of the area of the square can be used in order to determine the length of one side of Tasha's bedroom.
Step 2 - Let the length of the side of the square be 'a'.
Step 3 - The formula of the area of the square is given below:
[tex]\rm A = a^2[/tex]
Step 4 - Substitute the area of the square in the above expression.
[tex]\rm 169 = a^2[/tex]
a = 13 ft.
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what the value of the expression below when a =-2,b=3 and c=-5
At a basketball game, A vendor sold a combined total of 188 sodas and hotdogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas in the number of hot dogs sold?
Simplify 19 - 1.67 + (-2.4)
Write an integer whose absolute value is greater than itself
All negative numbers are integers whose absolute value is greater than itself for example-3.
What is absolute value?Absolute values are the value of any digit without considering the sign.
So all negative values will be considered positive for absolute value.
For example, the absolute value of -2 will be 2 and the absolute value of -7 will be 7.
Absolute value is value without considering sign so all negative values will be considered positive.
For example -3 → | -3 | = 3 and 3 > -3
All positive values will be greater than their negative value.
Hence "All negative numbers are integers whose absolute value is greater than itself".
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Various properties of a liquid are recorded during an experiment. The volume of the liquid is measured to be 25.5 milliliters. The density of the liquid is found to be 1.76 g/mL. The liquid is blue in color. Which item(s), if any, of the information recorded is/are qualitative data?
ten less the quotient of a number and 3 and is 6
The question is about solving the algebra equation derived from the statement 'Ten less the quotient of a number and 3 is 6'. The equation is x/3-10=6 and through algebraic operations, we find that the solution is x = 48.
Explanation:The subject of your question is Algebra, which is a branch of Mathematics. From your question, 'Ten less the quotient of a number and 3 is 6', we can write the algebraic equation. First, 'the quotient of a number and 3' is represented as x/3. Then, 'ten less' means we subtract 10 from the result. Lastly, 'is 6' means equals to 6. Therefore, the equation is: x/3 - 10 = 6.
To solve this equation, first of all, you should deal with the subtraction by adding 10 to both sides of the equation, which gives you x/3 = 16. Secondly, you then get rid of the fraction by multiplying both sides by 3, which yields x = 48. Hence 48 is the solution to your algebraic equation.
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don't answer if you don't know.
3x−8=8x+4/2
What is the measure of ∠R? ° triangle RST with angle S of 76 degrees and angle T of 68 degrees
5+3 = 3+5 what property is this
A bowling league requires you to buy a bowling ball for $45 and pay $12 for each game. If you spent a total of $117, how many games did you play? *
Find the product to the nearest ten. (100.8) (24.5)
solve each equation. 8.5 - 3z = - 8z
Which graph represents the solution set of the system of inequalities?
Why are astrologers not considered to be scientists?
Astrologers do not use tools.
Astrologers do not observe the universe.
Astrologers do not use the scientific method.
Astrologers do not go to college.
Answer:
Astrologers do not use the scientific method.
I would say, astrologers do not use methods that are accepted as a scientifical at this moment. Scientific methods (especially experiments) are not possible in a field of astrology, because there are too many variables to control. But, actually, psychoanalysis also des not meet scientific conditions.