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.
What happened to the owl who swallowed a watch
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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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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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?
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 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.
3 groups of blanks tenths equals 1.5
The value of each blank tenth is 0.5 for the 3 groups of blanks.
To solve this problem, we can set up an equation. Let's use 'x' to represent the number of blanks tenths.
An expression in mathematics is a grouping of digits, variables, operators, and symbols that depicts a connection or calculation. It may consist of a single phrase or a group of terms joined together by operators.
The problem states that 3 groups of blank tenths equals 1.5. This can be written as 3x = 1.5.
To isolate x, we divide both sides of the equation by,
3x/3 = 1.5/3.
x = 0.5.
Therefore, the value of each blank tenth is 0.5.
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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
how can you determine that a coin is not pure silver if you known the mass and volume of the coin?
Answer: By measuring its density which should come out to be [tex]10.5cm^3[/tex] at [tex]20^0C[/tex]
Step-by-step explanation:
Density is defined as the mass contained per unit volume.
[tex]Density=\frac{mass}{Volume}[/tex]
Density of a substance is an intensive property and it does not depend on the amount of matter contained in the substance. It is specific of a compound and thus can be used to know the purity of substances.
Density of silver is [tex]10.5g/cm^3[/tex] at [tex]20^0C[/tex].
Thus if density comes out to be different from the standard value , it means the silver is impure.
Members of the student body ran 87.75 miles on a 0.25 mile track to raise money for charity. How many laps did they run?
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]
which one of the following uses estimation to check 267-154=113? a. 300-200=100. b. 113+154=267. c. 300-150=150. d. 270-150=120
b. 113 + 154 = 267 is a way of estimation to check 267 - 154 = 113.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given a numerical expression 267 - 154 = 113.
The correct elimination is we must add 154 to both sides to eliminate 154 on LHS and add 154 on RHS.
∴ 267 - 154 = 113 is
267 + 154 - 154 = 113 + 154,
113+154=267
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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
Wire 337,060 in expanded form using exponents
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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How many yards are in 150 feet?
There are 50 yards in 150 feet.
To convert feet to yards, we need to know that there are 3 feet in a yard. Therefore, to find out how many yards are in 150 feet, we divide the number of feet by the conversion factor of 3.
150 feet ÷ 3 = 50 yards
So, there are 50 yards in 150 feet.
To understand why this conversion works, we can think about the relationship between feet and yards. One yard is defined as 3 feet, meaning it is three times longer than a single foot. Therefore, when we have a certain number of feet, we can divide it by 3 to determine how many times the length of one yard fits into that measurement. In this case, 150 feet can be divided evenly into 50 groups of 3 feet, which gives us 50 yards.
In summary, there are 50 yards in 150 feet, and this conversion is derived from the fact that one yard is equivalent to 3 feet.
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another question -_-!
2/3 x-7=11
X=?
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]
What is 90 x 4 Divided bye 38
Maggie has a ribbon 27 feet long.What is the length of the ribbon in yards?
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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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
a website has a 826,140 hits last month what is the value of the 8 in 826,140
If the area of a circle is 58 square feet, find the circumference.
A. 42.5 ft.
B. 22.35 ft.
C. 26.99 ft.
D. 4.25 ft.
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.
M mr. Brown has $410,000 in a retirement account that earns 3.85% interest each year. Find the amount earned each year by his investment. How do you do this I don't understand?
Final answer:
Mr. Brown's retirement account with a principal of $410,000 at an annual interest rate of 3.85% will earn $15,785 each year.
Explanation:
Mr. Brown has an investment in a retirement account with a principal amount of $410,000 that earns an annual interest rate of 3.85%. To calculate the amount of interest earned each year, we can use the simple interest formula:
Interest = Principal × Rate × Time
Since we want to find the interest for one year, Time is equal to 1. Plugging in the numbers:
Interest = $410,000 × 0.0385 × 1
Interest = $15,785
Therefore, Mr. Brown's investment will earn $15,785 per year at an interest rate of 3.85%.
If m angle 1 = 42 and m angle 2 = 27, then m angle APC =
Point E(0,-2) is a vertex of a square DEFG. After a 90degrees clockwise rotation of the square about the orgin, which of the following is the location of E?
1.(-2,0)
2.(2,0)
3.(2,2)
4.(0,2)
Point E(0,-2) is a vertex of a square DEFG, After a 90degrees clockwise rotation of the square about the origin has point E(2, 0).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, Point E(0,-2) is a vertex of a square DEFG, After a 90degrees clockwise rotation of the square about the origin,
∴ Rotating 90 degrees clockwise, you (x, y) becomes (-y, x).
So, point E will have a location of (-(-2), 0) which is (2,0).
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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.