The math team sold 42 hamburger meals and 15 ribs meals at the pep rally for a total of $243. At the game that night, they sold 36 hamburger meals and 30 ribs meals for a total of $294. What is the cost of 1 rib meal?
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.
0.67x0.3 showing work
The value of the expression 0.67 x 0.3 will be 0.201.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
0.67 and 0.3
The product of the numbers 0.67 and 0.3 will be given by putting a cross sign between them. Then we have
⇒ 0.67 x 0.3
⇒ 0.201
The value of the expression 0.67 x 0.3 will be 0.201.
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which equation has an a-value of 1, a b value of -3 and a c- value of -5?
The equation that has an a-value of 1, a b-value of -3, and a c-value of -5 is x^2 - 3x - 5 = 0.
The student is asking for the equation of a quadratic in the form ax^2 + bx + c = 0, where the coefficients match the given values: a = 1, b = -3, and c = -5. Therefore, the equation that fits these criteria is x^2 - 3x - 5 = 0. This is a typical problem where a student is expected to understand the standard form of a quadratic equation and identify or construct the equation based on given coefficients.
In which case would it be most appropriate to use mm as a unit of measurement? A. length of a paper clip B. width of a football field C. distance from New York City to Los Angeles D. height of a building
What is the slope of the line passing through the points (−1, 3) and (4, −7) ?
A. −2
B. 3/4
C. − 4/3
D. 2
The slope of line passing through the points [tex]\left( { - 1,3} \right)[/tex] and [tex]\left( {4, - 7} \right)[/tex] is [tex]\boxed{ - 2}[/tex]. Option A is correct.
Further explanation:
The linear equation with slope m and intercept c is given as follows.
[tex]\boxed{y = mx + c}[/tex]
The formula for slope of line with points [tex]\left( {{x_1},{y_1}} \right)[/tex] and [tex]\left( {{x_2},{y_2}} \right)[/tex] can be expressed as,
[tex]\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}[/tex]
Given:
The passes through point is [tex]\left( { - 2, 2} \right).[/tex]
Explanation:
The passes through points are [tex]\left( { - 1, 3} \right)[/tex] and [tex]\left( {4, - 7} \right).[/tex]
The slope of the line can be obtained as follows,
[tex]\begin{aligned}m &= \frac{{ - 7 - 3}}{{4 - \left( { - 1} \right)}}\\&= \frac{{ - 10}}{{4 + 1}}\\&= \frac{{ - 10}}{5}\\&=- 2\\\end{aligned}[/tex]
The slope of line passing through the points [tex]\left( { - 1,3} \right)[/tex] and [tex]\left( {4, - 7} \right)[/tex] is [tex]\boxed{ - 2}.[/tex] Option A is correct.
Option B is not correct.
Option C is not correct.
Option D is not correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: numbers, slope, passes (-1,3), (4,-7), slope intercept, inequality, equation, linear inequality, y-intercept, graph, representation, origin, parallel.
The slope of the line passing through the given points (-1, 4) and (3, -7) is: A. −2
Given the following points:
Points on the x-axis = (-1, 4) Points on the y-axis = (3, -7)To find the slope of the line passing through the given points (-1, 4) and (3, -7):
The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope. \;m = \frac{-7 \;- \;3}{4\; - \;[-1]}\\\\Slope. \;m = \frac{-10}{5}[/tex]
Slope, m = -2.
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If m angle 1 = 42 and m angle 2 = 27, then m angle APC =
cat weigh 12.37 pounds whats is the word formfor the value of the 7 in 12.37
The value of '7' in the number '12.37' is seven-hundredths (0.07).
Explanation:The student is asking for the word form for the value of 7 in the decimal number 12.37. In any decimal number, the first digit after the decimal point represents the 'tenths' place, and the second digit represents the 'hundredths' place. Thus, the '7' in 12.37 represents seven-hundredths. In another words, the digit 7 here carries the value of 0.07.
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Give an example of how prime factorization could be used in the real world.
Answer:
Prime Factorization can be used when we eat a cake. You have to figure out how many slices you need for each person. Also how many slices they eat, you will have to use math to come up with some daily life tasks.
Step-by-step explanation:
lester and kari are playing a number pattern game. kari wrote the following pattern. 45.5,49,52.5,__,59.5
what is the unknown number in the pattern kari wrote?
show work
at a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progress, A doubles match requires 4 players and a singles match requires 2 players.
a. write a system of two equations that represents the number of singles and doubles matches going on.
b. how many matches of each kind are in progress
Maggie has a ribbon 27 feet long.What is the length of the ribbon in yards?
Is the answer to number 23????,
1 hour = 60 minutes
divide 60 by 3/4
60/1 / 3/4 = 60/1 * 4/3 = 340/3 = 80 times
A camera cost 115 Canadian dollars. If each Canadian dollar is worth 0.952 U.S dollars, how much will the camera cost in U.S dollars?
Answer: 109.48 U.S dollars.
Step-by-step explanation:
Given : A camera cost 115 Canadian dollars.
Also, The value of each Canadian dollar = 0.952 U.S dollars.
Then, 115 Canadian dollars=[tex]115\times0.952=109.48\text{ U.S dollars}[/tex]
Therefore, the cost of camera in U.S dollars = 109.48
Hence, the camera costs 109.48 U.S dollars.
What happened to the owl who swallowed a watch
A neighbor pays you and two friends $90 to paint her garage. You divide the money three ways in the ratio 2:3:5.
Answer:
First friend gets $18, second friend gets $27, third friend gets $45
Step-by-step explanation:
The ratio means that each person get different quantity.
The total amount must be divided between the 3 persons in the following way
First person gets 2 parts
Second person gets 3 parts
Third person gets 5 parts
If we add all parts, we get 10 parts,if we divide the total payment we get how much is each part, in this case $90 / 10 , so $9
Each part is $9. To get how much will get each friend , we multiple the quantity of parts by the value of them.
First person gets 2 parts, that means $18
Second person gets 3 parts that means $27
Third person gets 5 parts that means $45
6+8x/2 = 5x what is x?
Answer:
x=3
Step-by-step explanation:
6+8x/2=5x
6+8x/2*2=5x*2
6+8x=10x
6+8x-8x=10x-8x
6=2x
6/2=2x/2
3=x
Also I took the test so I know this is right
Eleven minus the quotient of a number and 8 is 15
x/8-11=15
Quotient means to divide. So, the question is asking you to divide a number and 8. Then, subtract it from 8 to get the answer 15.
A drought can cause the level of the local water supply to drop a few inches each week. Suppose the level of water supply drops 2 inches each week. How many will it change in 4 weeks?
Multiply.
(3.5×10−5)(3×10−10)
Express your answer in scientific notation.
A. 1.05×10−15
B. 1.05×10−14
C. 1.05×10−13
D. 1.05×1015
Answer:
option B
Step-by-step explanation:
Multiply.
[tex](3.5 \cdot 10^{-5})(3 \cdot 10^{-10})[/tex]
To multiply it we apply exponential property
First we multiply the number 3.5 and 3
3.5 times 3 is 10.5
Now we apply exponential property to multiply the exponents
[tex]a^m \cdot a^n = a^{m+n}[/tex]
[tex]10^{-5} \cdot 10^{-10}= a^{-5-10}=10^{-15}[/tex]
[tex](3.5 \cdot 10^{-5})(3 \cdot 10^{-10})[/tex]
[tex]10.5 \cdot 10^{-15}[/tex]
To get the expression in scientific notation we move the decimal point 1 units to the left
[tex]1.05 \cdot 10^{-14}[/tex]
if a data set has 16 data values the number of values in the upper quartile is
Answer:
its 4
Step-by-step explanation:
What is the clockwise and counterclockwise rule for 180 degrees of rotation?
The right-hand rule is used to determine the direction of angular velocity and angular momentum when an object rotates 180 degrees. If the rotation is counterclockwise, the thumb points up, and if clockwise, it points down.
The Counterclockwise and Clockwise Rules for 180 degrees of rotation are principles used to determine the direction of angular velocity and angular momentum in a rotating system.
When an object rotates counterclockwise as viewed from above, the right-hand rule can be used to find the direction of its angular quantities.
To do this, point your thumb upward while the fingers of your right hand curl in the direction of rotation; your thumb will then point in the direction of the angular velocity vector and angular momentum.
Conversely, if the rotation is clockwise, the thumb would point downward, indicating the opposite direction for angular velocity and angular momentum.
An understanding of these rules is crucial in physics, especially when studying rotational motion and the effects of torque.
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Write the solution to the inequality in set builder notation.
9t - 4 > 32
Set builder notation is elements of solution set of inequality is greater than 4.
The given inequality is 9t - 4 > 32.
What is set builder notation?A set-builder notation describes the elements of a set instead of listing the elements. For example, the set {5, 6, 7, 8, 9} lists the elements. We read the set {x is a counting number between 4 and 10} as the set of all x such that x is a number greater than 4 and less than 10.
The solution to the inequality 9t - 4 > 32 can be solved as follows:
Add 4 on both the sides of the inequality.
That is, 9t - 4 + 4 > 32 + 4
⇒ 9t > 36
Divide 9 on both the sides of the inequality.
That is, 9t ÷ 9 > 36 ÷ 9
⇒ t > 4
Set builder notation is elements of solution set is greater than 4.
Therefore, set builder notation is elements of solution set of inequality is greater than 4.
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Solve for m: 18d + 2m + 9k < 5k + 10.
Your answer:
m > 7k- 9d + 5
m < 7k 9d + 5
m > 2k + 9d+ 5
m < - 2k - 9d + 5
Answer:
(d) m < -2k -9d +5
Step-by-step explanation:
You want to solve for m in the inequality 18d + 2m + 9k < 5k + 10.
Solve forWe notice m is in a linear term on one side of the inequality. We can identify the other terms there, and subtract them from both sides. This gives ...
[tex]18d + 2m + 9k < 5k + 10\qquad\text{given}\\\\18d + 2m + 9k -(18d +9k) < 5k + 10 -(18d +9k)\qquad\text{subtract terms without m}\\\\2m < -4k-18d+10\qquad\text{simplify}\\\\\dfrac{2m}{2} < \dfrac{-4k-18d+10}{2}\qquad\text{divide by 2}\\\\\boxed{m < -2k-9d+5}\qquad\text{matches choice D}[/tex]
A home repair service company earned $990 performing annual inspections. They charged $55 for each inspection. How many inspections did they perform? 18 19 20 22
Answer:
I'm 100% sure that the answer is A. 18 (The first option)
What is 90 x 4 Divided bye 38
I need help with this one problem pls help I’m estimating quotients
a car and a bus set out at 4pm. from the same point, headed in the same direction. the average speed of the car is 25 mph slower than twice the speed of the bus. In two hours, the car is 32 miles ahead of the bus. Find the rate of the car.
Leroy works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 more boxes to move. Which equation can be solved to find how many boxes Leroy moved before his break?
Answer:
15 - x = 34
Step-by-step explanation:
Suppose there is a 1.1 degrees Fahrenheit drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.7 degrees Fahrenheit, what will be the temperature at the altitude of 11000 ft?
Answer:
47.6 Degree Fahrenheit
Step-by-step explanation:
Given:
The Airplane is on the ground level at a temperature 59.7 Fahrenheit. Every 1,000 feet there will be drop in temperature which is 1.1 degrees Fahrenheit.
Initial Temp = 59.7 Fahrenheit
Distance Covered = 11,000 Ft
Explanation:
This means the Ground level is zero feet as the Airplane stands there.
Later, it climbs into the sky with 11,000 altitude.
That is [tex]11 * 1000[/tex]
For every 1,000 there is decrease in temperature of 1.1 degree Fahrenheit
Therefore, 11 times the temperature will decrease
That is [tex]11 * 1.1[/tex]
12.1 Degree temperature will drop at 11,000 feet
Therefore
Temperature at 11,000 feet will be [tex]59.7 - 12.1[/tex]
47.6 Degree Fahrenheit
Answer:47.6
Step-by-step explanation:the airplane is on ground level at a temperature of 59.7 f every 1000 deggres will drop
A rabbit can run 35 miles per hour.a fox can run 21 miles in half an hour. Witch animal is faster, and by how much?