The linear equation that describes the problem 72x + 150y = 5400.
What is a linear equation in mathematics?A linear equation seems to be an algebraic equation of the form y=mx+b, including only a constant and an initial (linear) component, where m is the slope, as well as b,as well as b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where both x and y are the variables.
Why is it termed a linear equation?The graph of a linear equation is a straight line. Linear Equation Definition: A linear equation seems to be an algebraic equation in which each term has an exponent of one and when graphed, it always results in some kind of a straight line. it is called a 'linear equation.'
According to the given data:Tennis Club sells monthly memberships for $72.
Tennis rackets for $150.
The tennis club sales goal of $5400 per month.
The linear equation.
72x + 150y = 5400.
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Hayley is buying herbs. She wants to buy ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.
Complete question :
Hayley is buying herbs. She wants to buy 5/6 ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.
Answer:
0.8
Step-by-step explanation:
To obtain the fractional expression of weight in decimal form:
5/ 6 ounce of bassil is converted into decimal :
5 / 6 = 0.8333
Hence, for a fraction of 5 /6, we obtain;
5/6 = 0.8333
To the nearest tenth :
0.8
Which equation can be used to find 40 percent of 25?
A. Start Fraction 25 divided by 1 Over 40 divided by 1 End Fraction = Start Fraction 25 Over 40 End Fraction
B. Start Fraction 100 times 4 Over 40 times 4 End Fraction = Start Fraction 400 Over 16 End Fraction
C. Start Fraction 40 times 4 Over 25 times 4 End Fraction = Start Fraction 160 Over 100 End Fraction
D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
Please help (❤´艸｀❤) What one is it?!?
Answer:
A
Step-by-step explanation:
The correct equation to find 40 percent of 25 is: D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
Let's go through each option and determine the correct equation step by step.
A. Start Fraction 25 divided by 1 Over 40 divided by 1 End Fraction = Start Fraction 25 Over 40 End Fraction
This equation represents the division of 25 by 40. However, we want to find 40 percent of 25, not divide 25 by 40. So, this equation is not the correct one.
B. Start Fraction 100 times 4 Over 40 times 4 End Fraction = Start Fraction 400 Over 16 End Fraction
In this equation, we multiply 100 by 4 and divide it by 40 multiplied by 4. Simplifying this expression, we get 400 divided by 16, which is equal to 25. This equation does not give us the value of 40 percent of 25, so it is not the correct one.
C. Start Fraction 40 times 4 Over 25 times 4 End Fraction = Start Fraction 160 Over 100 End Fraction
Here, we multiply 40 by 4 and divide it by 25 multiplied by 4. Simplifying this expression, we get 160 divided by 100, which is equal to 1.6. This equation does not give us the value of 40 percent of 25, so it is also not the correct one.
D. Start Fraction 40 divided by 4 Over 100 divided by 4 End Fraction = Start Fraction 10 Over 25 End Fraction
In this equation, we divide 40 by 4 and divide 100 by 4. Simplifying this expression, we get 10 divided by 25, which is equal to 0.4. This equation represents 40 percent of 25, as 0.4 is equal to 40 percent when expressed as a decimal. Therefore, the correct equation is D.
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Caesar and Brutus are selling apple pie and lemon meringue pies for a school fundraiser. Caesar sold 5 apple pies and 2 lemon meringue pies for a total for $80. Brutus sold 3 apple pies and 6 lemon meringue for a total of $(0. What is the cost of one apple pie and one lemon merigue pie?
Answer:
Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75
Step-by-step explanation:
Let,
x be the cost of each apple pie
y be the cost of each lemon merigue pie
According to given statement;
5x+2y=80 Eqn 1
3x+6y=90 Eqn 2
Multiplying Eqn 1 by 3
3(5x+2y=80)
15x+6y=240 Eqn 3
Subtracting Eqn 2 from Eqn 3
(15x+6y)-(3x+6y)=240-90
15x+6y-3x-6y=150
12x=150
Dividing both sides by 12
[tex]\frac{12x}{12}=\frac{150}{12}\\x=12.50[/tex]
Putting x=12.50 in Eqn 1
5(12.50)+2y=80
62.50+2y=80
2y=80-62.50
2y=17.50
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{17.50}{2}\\y=8.75[/tex]
Hence,
Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75
PLS PLS PLS HELP!!!!
Answer:
40 quarts
Step-by-step explanation:
there are 4 quarts in a gallon
What is the slope equation? Drag and drop answers
Answer:
y = 2x + 9
Step-by-step explanation:
The y-intercept: 9
Slope: 2x
Line f passes through the points
(10, -1) and (-8, 6).
What is the slope of line f?
Answer:
-7/2 or -3.5
Explanation:
The slope is rise over run.
The rise is how much it went up and the run is how much it went right
The line went up 7 units while going -2 units to the right (meaning it went 2 units to the left)
This makes our slope 7/-2 which is the same as -7/2 or -3.5
Which rule describes the pattern in the table?
a 0 1 2 3 4
b 0 5 10 15 20
The value of b is 5 times the value of a.
The value of b is 5 less than the value of a.
The value of b is 5 more than the value of a.
The value of a is 5 times the value of b.
Answer:
The value of b is 5 times the value of a.
Step-by-step explanation:
The rule that describes the pattern in the table is that the value of b is 5 times the value of a.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The table shows two sets of values, a and b, where b is obtained by multiplying a by 5.
For example, when a = 1, b = 5, and when a = 2, b = 10.
This pattern continues throughout the table.
Therefore,
The rule that describes the pattern in the table is that the value of b is 5 times the value of a.
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PLEASE HELP ME. IM DESPERATE. MY BRAIN STOPPED WORKING
Answer:
All of them except for the 3rd one
Step-by-step explanation:
2) 15 - 3x = 5(x + 4) - 8x
15 - 3x = 5x + 20 - 8x
15 - 3x ≠ -3x + 20
4) 2(x - 7) = 2x - 10
2x - 14 ≠ 2x - 10
1) 24x - 22 = -4(1 - 6x)
24x - 22 ≠ -4 + 24x
3) 12 - 2x = 6(2x + 2)
12 - 2x = 12x + 12
0 = 14x
0 = x, only one that has a solution
PLEASE HELP ASAP......!!!!!!
Answer:
If you roll two dices, you can get as results all numbers from 2 to 12. Among these, the prime numbers are 2, 3, 5, 7, 11. The probability you get each of them is: 2: you can get it only as 1+1, so one combination over 36 possibility. Probability: 1/36. 3: you can get it as 1+2 or 2+1, so two combinations over 36 possibility. Probability: 2/36. 5: you can get it as 1+4, 2+3, 3+2, 4+1, so four combinations over 36 possibility. Probability: 4/36. 7: you can get as 1+6, 2+5, 3+4, 4+3, 5+2, 6+1, so six combinations over 36 possibility. Probability: 6/36. 11: you can get it as 5+6 or 6+5 so two combinations over 36 possibility. Probability: 2/36. The total probability of getting a prime number is the sum of the probabilities, which is 15/36. So m=15, n=36 and 10m+n=150+36=186.
I need help solving this for AP calculus.
Step-by-step explanation:
the derivative of the sum of terms in x is the same as the sum of the derivatives of the individual terms.
d/dx × (-4sin(x) + 9x) = d/dx × (-4sin(x)) + d/dx × (9x)
and also : the derivative of a term in x multiplied by a constant c is c × derivative of the term in x.
d/dx × (-4sin(x)) + d/dx × (9x) =
-4 × (d/dx × sin(x)) + 9 × (d/dx × x)
so, what is the derivative of sin(x) ? cos(x)
what is the derivative of x ? 1
so, we have as result :
-4cos(x) + 9
i wil vote barinliest!! Plzz hurry as fast as possible...
On a coordinate plane, A line is drawn from point Fernando to point Maria. Fountain is labeled in between the 2. Fernando is at (negative 4, negative 2) and Maria is at (4, 2).
Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary.
( , )
Answer:
-1 , -0.5
Step-by-step explanation:
Edg
The other person is right. Give him/her credit.
I REALLY NEED THIS RIGHT NOW!!
For 0
Answer:
Where is the question?
Step-by-step explanation:
Solve for x
5(x + 9) = -45
X =
O
Answer:
x =-18
Step-by-step explanation:
5(x + 9) = -45
Divide each side by 5
5/5(x + 9) = -45/5
x+9 = -9
Subtract 9 from each side
x+9-9 = -9 -9
x =-18
Answer:
The correct answer is x = -1.
Step-by-step explanation:
Step 1: 5(x + 9) = -45 <----- This is the original problem.
Step 2: 5(9x) = -45 <----- Add the variable.
Step 3: [tex]\frac{5(9x)}{5} = \frac{-45}{5}[/tex] <----- Divide both sides by 5.
Step 4: 9x = -9 <----- Simplify
Step 5: 9x/9 = -9/9 <----- Divide both sides by 9.
x = -1
Hope this helps! :D
math work
pls helppp
Find the slope of the line.
I WILL MARK BRAINYLIST JUST HELP MEEE
Answer:
-1/3
Step-by-step explanation:
join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join
what algebraic property is this:
if 12+4x then 4x+12
The algebraic property of "if 12+4x then 4x+12" is: commutative property of addition.
What is the Commutative Property of Addition?The Commutative Property of Addition is an algebraic property that states that the change of arrangement or order of an expression does not change the sum of the expression.
For example, based on the commutative property of addition, a + b = b + a.
In the same vein, if we have 12 + 4x, then 4x + 12, it means that whichever way we choose to order the operation, the sum remains the same.
Therefore, the algebraic property of "if 12+4x then 4x+12" is: commutative property of addition.
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what are the opposites of these numbers
4.25
-
5 1/4
1/2
2 1/3
-3.85
-6.1 help pls
HELP ASAP!!!
Which of the choices best describes this arithmetic sequence?
-2, 1,4,7, 10, ...
Answer:
1
Step-by-step explanation:
An arithmetic sequence is a sequence in which each term after the first is found by adding a comstant, called the common difference d, to the previous term. The set of positive odd numbers, 1, 3, 5, 7, ... , is a sequence. The first term, a1, is 1 and each term is 2 greater than the preceding term.
Consider if each set of ordered pairs represents a function
Answer:
that'll be cool
Step-by-step explanation:
4x + 3 = x
someone pls help me
Answer:
x = -1
Step-by-step explanation:
4x + 3 = x
Subtract 4x to each side
4x -4x + 3 = x -4x
3 = -3x
Divide by -3 to both sides
3 ÷-3 = -3x ÷-3
-1 = x
x = -1 is your answer.
Have a lovely rest of your day! :)
PLZ ANSWER CORRECTLY 1 2⁄6 ÷ 4 1⁄3
Answer:
0.30715935334
Step-by-step explanation:
8/6 ÷ 13/3
1.33÷ 4.33
0.30715935334
Answer:
4/13
Step-by-step explanation:
i know im 6 days late but i tried to find this answer but i got it wrong so 4/13 is the answer(im answering this incase if someone else is looking for the answer)
pls answer this ( both parts)
Answer:
Yes, It is
Step-by-step explanation:
0.005
Divide the numerator by the denominator, to find the answer
Solve each inequality.
||x+4|-7|<5
||3x-1|+5|<1
The solutions for x are x < 16 and x < 7/ 3 respectively
What is absolute value?The absolute value of a real number can be defined as the non-negative value of that number without regard or consideration to its sign.
It is also described as the modulus of a number.
Given the inequality;
||x+4|-7|<5
Take the absolute value
x + 4 + 7 < 5
collect like terms
x < 5 + 4 + 7
Add like terms
x < 16
||3x-1|+5|<1
Take the absolute value
3x + 1 + 5 < 1
collect like terms
3x < 1 + 5 + 1
3x < 7
Make 'x' the subject
x < 7/ 3
Thus, the solutions for x are x < 16 and x < 7/ 3 respectively.
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Brianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural? 3.6 inches 18.2 inches 60 inches 90 inches
pls answer quick this is worth 65 points
Answer:
90 inches
Step-by-step explanation:
18 divided by 0.2 is 90
Answer:
D: 90 inches
Step-by-step explanation:
Got it right on edge!
3 (1 + 5)² + 147 = 0
whats the answer?
Answer: 255
Step-by-step explanation:
AB was dilated by scale factor of 2 to create segment A prime B prime. Which point is the center of dilation? O N M L
I think its M am i right? plz help
Answer:
It is not L.
Step-by-step explanation:
I just took the test and put L. It was wrong.
what is a better deal
$23 for 10 lb or $32.05 for 15 lb
If f(x) =x-1 and g(x)=5x-2, then (f+g)(x)=
Answer:
5x²-7x+2
step by step explanation:
(f•g)(x) = f(x)•g(x)
(x-1)•(5x-2)
x×5x-2x-5x-1×(-2)
5x²-2x-5x+2
=5x²-7x+2
please help im about to get in trouble
The answer is by changing the values 0,4 3,6 6.8 9.10 make it 0,4 3,8 6,12 9,16
Step-by-step explanation:
I am just that smart
you order two tacos and a salad. the salad costs $2.50. you pay 6% sales tax and leave a $3 tip. you pay a total of $13.60. how much does one taco cost?
The cost of one taco is $3.75.
We are given cost of salad, the sales tax and tip along with total expenditure. We already know, that sales tax is calculated on the cost of items. Hence, forming the equation accordingly. Let us assumed the cost of one taco be $x. So, the cost of two tacos will be $2x.
The equation will be -
2x + 2.50 + (2x + 2.50)×(6÷100) + 3 = 13.60
2x + 2.50 + (2x + 2.50)×0.06 + 3 = 13.60
Now, solving this equation to find the value of x and hence the cost of one taco.
2x + 2.50 + 0.12x + 0.15 + 3 = 13.60
Performing addition on Left Hand Side
2.12x + 5.65 = 13.60
Shifting 0.18 to Right Hand Side and performing subtraction
2.12x = 13.60 - 5.65
2.12x = 7.95
x = 7.95÷2.12
Performing division
x = 3.75
Thus, the cost of one taco is $3.75.
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