Using the equations 2x+2.5y=26 and x=y+4, Jordan also brought 4 beverages and 8 tacos.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical sentence with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
Let x be the tacos and y be the drinks,
cost of each drink=$2.5
cost of each tacos=$2
2x+2.5y=26
x=y+4
2(y+4)+2.5y=26
2y+8+2.5y=26
4.5y=18
y=18/4.5
y=4
x=y+4
x=8
Jordan brought 8 tacos using the system of equation as 2x+2.5y=26 and x=y+4 as well as 4 drinks.
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help meeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeee!!!!!
Answer:
Step-by-step explanation:
a.) The population is years measured after 2000 so 2000 is 0. Any number to the 0 power is 1 so the population is 23.1 (million).
b.) 28.3 = [tex]23.1e^{0.0152t}[/tex]
1.22510823 ≈ [tex]e^{0.0152t}[/tex]
ln 1.22510823 ≈ 0.0152t
t≈13.4 MILLION
Find the value of y. Round to the nearest tenth.
The value of y after solving the triangle using sine rule is 46.15.
What is sine rule?Sine rule is a rule that relates the sides of a triangle with the sine of their opposite angles.
To calculate the value of y, we use the sine rule formula
Formula:
Sina/A = Sinb/B............... Equation 1Where:
a, b = The values of the two included angle of the triangleA,B = The values of the two included sides of the triangleFrom the question,
Given:
a = 42°b = 85°A = 31B = ySusbtitute these values into equation 1 and solve for y
sin42°/31 = sin85°/yy = 31×sin85°/sin42°y = 46.15Hence, the value of y is 46.15.
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the perimeter and the width of a rectangle are 64 m and 2 m, respectively. what is the area of the rectangle?
Area of the given rectangle as per given perimeter and width is equal to 60m².
As given in the question,
Perimeter of the given rectangle = 64m
Width of the given rectangle 'w' = 2m
Let us consider 'l' be the length of the rectangle
Perimeter of the rectangle = 2 ( l + w )
Substitute the values
64 = 2 ( l + 2)
⇒32 = l + 2
⇒l = 32 - 2
⇒l = 30m
Area of the given rectangle = l × w
= 30 × 2
= 60m²
Therefore, the area of the given rectangle as per given dimensions is equal to 60m².
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Richard and Teo have a combined age of 28. Richard is 13 years older than twice Teo’s age. How old are Richard and Thiago?
If Richard is 13 years older than twice Teo's age. The age of Richard and Thiago will be 23 and 5 respectively.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Richard and Teo have a combined age of 28. Richard is 13 years older than twice Teo’s age.
We have to find the age of Richard and Thiago.
Suppose the age of Richard and Teo be x,
If Richard and Teo have a combined age of 28,
T+R=28 --------(1)
If Richard is 13 years older than twice Teo’s age,
R=( 2T + 13) --------(2)
u
Substitute the value of R in eqation 1
T+( 2T + 13)=28
3T+13=28
3T=28-13
3T=15
T=5
Substitute the value of T in equation 1 to obtain R,
T+R=28
5+R=28
R=28-5
R=23
Thus, if Richard is 13 years older than twice Teo age. The age of Richard and Thiago will be 23 and 5 respectively.
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Match the variable and angle with the correct value to create the angle measures for the exterior angle theorem.
x=60°, y=15°, angle C is 45°, angle DBC is 105° and angle CBA is 75°.
In the given figure, ∠DBC=7y°, ∠CBA=5y°, ∠C=3y° and ∠D=x°.
What is angle sum property of a triangle?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Here,
∠DBC+∠CBA=180° (Sum of adjacent angles is 180°)
⇒ 7y°+5y°=180°
⇒ 12y°=180°
⇒ y°=15°
∠DBC=7y°=105°, ∠CBA=5y°=75° and ∠C=3y°=45°
Now, ∠DBC=∠C+∠A
⇒ 105°=45°+∠A
⇒ ∠A=60°
Therefore, x=60°, y=15°, angle C is 45°, angle DBC is 105° and angle CBA is 75°.
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In the year 2000, the company made $2. 2 million in profit. For each conecutive year after that, their profit increaed by 13%. How much would the company' profit be in the year 2003, to the nearet tenth of a million dollar?
Rounded to the nearest tenth of a million dollars, the company made $3.2 million in profit in the year 2003.
What is meant by Profit?Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. It is, in other words, the difference between income and costs. Profit is an important aspect in a company's performance and is often quantified in monetary terms, but it may also be viewed .For example, for each consecutive year after that, their profit increased by 13%.
Profits may be divided into two categories: net profit and gross profit. After deducting all costs, taxes, and expenses, a company's net profit is the overall profit it has made. In contrast, gross profit is the profit made by a firm before expenses and costs are deducted.
How to solve?
In the year 2001, the company made $2.2 million * 1.13 = $2.486 million in profit.
In the year 2002, the company made $2.486 million * 1.13 = $2.82778 million in profit.
In the year 2003, the company made $2.82778 million * 1.13 = $3.1987314 million in profit.
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A one-cup serving of spaghetti with meatballs contains 260 calories and 32 grams of carbohydrates. A one-cup serving of chopped iceberg lettuce contains 5 calories and 1 gram of
carbohydrates. Determine how many servings of each would be required to obtain 160 calories and 20 grams of carbohydrates
How many serving(s) of spaghetti would be required?
(Round to the nearest tenth.)
For 160 calories and 20 grams of carbohydrates 0.61 cups are required.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a one-cup serving of spaghetti with meatballs contains 260 calories and 32 grams of carbohydrates. A one-cup serving of chopped iceberg lettuce contains 5 calories and 1 gram of carbohydrates.
For 160 calories the number of cups will be calculated as,
1 cup = 260 calories
160 calories = ( 160 ) / 260 cups
160 calories = 0.61 cups
Therefore, for 160 calories and 20 grams of carbohydrates 0.61 cups are required.
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Using the equation , describe how to create a system of linear equations with an infinite number of solutions.
In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.
What is Equation?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example.
There are many different types of equations, such as linear, quadratic, cubic, etc.
Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It shows that the expressions printed on the left and right sides have an equal relationship. In any mathematical equation, we have LHS = RHS (left hand side = right hand side).
Equations can be solved to find the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol in the sentence, it is not an equation.
Hence, In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.
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Complete question-
Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.
Label the slope for each line.
Miss Muffet's Spider
Answer:
A=1 B=2 C=7
Step-by-step explanation:
Look at the graph!!!!
Determine if (2, -1) is a solution to the system of equations:
2x−y=5
y=3x−7
Justify your answer using mathematics.
Is the coordinate a solution?
yes or no
The solution to the system of equations is (x, y) = (2, -1).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
WE are given the system of equations
2x−y=5
y = 2x - 5
y=3x−7
Adding the two equations Then divide by 2
Subtracting the second equation from the first gives;
0 = x -2
x = 2
y = -1
therefore, The solution is (x, y) = (2, -1).
The solution to the system of equations is (x, y) = (2, -1).
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Winston's bill at the restaurant was $32. He left a tip of 20%.
What was the tip amount? Round your answer to the nearest penny.
The round of tip amount.
Total tip = $ 7.00
Total (Bill + Tip) = $ 39.00.
How to Calculate Tip?
To calculate the tip multiply the total check by 1 plus the decimal percentage tip you'd like to leave.
If you wanted to leave a 20% tip, you would add 1 to 0.20 to get 1.20. Multiply the bill by 1.20 to get the total amount you'd leave including tip.
Decide on tip percentageAdd the decimal form of tip percentage to 1 to get your rateMultiply the bill by your rateTo calculate this, you can multiply the bill amount by the tip percentage: $32 * 0.20 = $6.40.
The tip amount was $6.40.
Hence, the round of tip amount.
Total tip = $ 7.00
Total (Bill + Tip) = $ 39.00.
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I need help with this please i don’t understand
Answer:
99
Step-by-step explanation:
Since the triangles are similar, we know the ratio of the sides is a constant. We know that SQ is 55, and the corresponding side on the other triangle is 10. This lets us find the ratio for the whole triangle! The ratio is 55/10, or 5.5.
To solve for RS, consider the corresponding side on the other triangle(LS) which is 18. We multiply that by the ratio to get 18 * 5.5 = 99, which is the length of RS.
I don't know if you need to solve for x, but if you do, here it is! We have [tex]99 = 12x+3[/tex] (the equation for side RS). subtracting 3 from both sides results in [tex]96 = 12x[/tex], and dividing by x gives us that x = 8.
Thank you! Feel free to ask me any questions about my answer. I hope this helps!
Find the slope of the li
16.) (5,-3), (5,8)
Answer:
slope = undefined
Step-by-step explanation:
Find the slope of the line: (5,-3), (5,8)
slope = change in y / change in x
slope = ( -3 - 8) / (5 - 5)
slope = -11/0
slope = undefined
These points graph a vertical line.
answer:
the slope is undefined.
step-by-step explanation:
there is an equation (y2-y1)/(x2-x1) that allows for you to determine the slope. since this line is vertical, the slope is defined because if you plug the points into the equation, you would be dividing by 0.
slope is 1/4 the line passes through the point 8,5
Answer:
Go up by 1 and run 4, remeber slope: rise over run. If the point is 8,5 then find 8 on the x axis and 5 and the y, wherever they meet, that's your answer.
Step-by-step explanation:
Kate wants to install an in ground pool in five years. She estimates the cost will be $50,000. How
much should she deposit monthly into an account that pays 1. 6% interest compounded
monthly in order to have enough money to pay for the pool in 5 years? Round your answer to
the nearest dollar
Kate should deposit $46,158.28 monthly into an account
In this question, we have been given the amount A = $50,000,
interest rate R = 1.6%
period t = 5 years
We need to find the principal amount (P)
First, convert R as a percent to decimal
r = 1.6/100
r = 0.016
Using the formula of compound interest for P,
P = A / (1 + r/n)nt
P = 50,000.00 / (1 + 0.016/12)(12)(5)
P = $46,158.28
Therefore, Kate should deposit $46,158.28
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Ethan and Adrian are reading the same book. At the beginning of the month, Ethan was on page 18 and Adrian was on page 45. Ethan will read 12 pages per day and Adrian will read 9 pages per day. Let E represent the page of the book that Ethan is on at the end of t days into the month, and let A represent the page of the book that Adrian is on at the end of t days into the month. Write an equation for each situation, in terms of t,, and determine whether Ethan or Adrian is farther along in the book after 4 days.
Answer: Ethan
Step-by-step explanation:
E:A
18:45 on page
12:9 per day
48:36 after 4 days
Ethan is further along in the book after 4 days
it takes avery 48 seconds to sprint 365m what is her average speed
For what values of x is y=-7-|x| increasing? Decreasing?
The intervals for which the function y = -7 - |x| is increasing and decreasing is given as follows:
Increasing: x < 0.Decreasing: x > 0.How to obtain the intervals of increase and decrease?The function is defined as follows:
y = -7 - |x|.
The parent absolute value function is increasing for x > 0 and decreasing for x < 0.
For this problem, the multiplication by -1 means that the function was reflected over the x-axis, meaning that the intervals of decrease and increase were exchanged, and thus they are given as follows:
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please help me ASAP MATH!
Answer:
A
Step-by-step explanation:
numerator = exponent of x (in this case is 1, so it can be omitted)
denominator = index of the root
√x
Which graph shows a system with no solutions?
What is the rate of change between (3.4,-0.1) and (3.5,0.1)?
The rate of change between the points (3.4, -0.1) and (3.5, 0.1) is 2.
How to find rate of change?The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity.
The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.
Therefore,
rate of change = Δy / Δx
rate of change = y₂ - y₁ / x₂ - x₁
Hence, let's find the rate of change of (3.4,-0.1) and (3.5,0.1).
rate of change = 0.1 + 0.1 / 3.5 - 3.4
rate of change = 0.2 / 0.1
rate of change = 2
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A desk is on sale for $459, discount is 32% less than the regular price
What is the regular price?
for a math proficiency exam, it is known that the population mean score is 1100 and the population standard deviation is 100. if the test is administered to 64 randomly selected individuals from this population, what is the probability that the sample mean will lie between 1070 and 1120? after finding the appropriate probability, indicate the interval that includes this probability. group of answer choices .7001 to .8500 .6001 to .7000 .8501 to 1.000 .0000 to .3000 .3001 to .6000
The probability that the sample mean will lie between 1070 and 1120 is .7001 to .8500.
To find the probability that the sample mean will lie between 1070 and 1120, we use the Z-score formula:
Z = (x - μ) / σ
where x is the value we are looking for (in this case 1070 or 1120), μ is the population mean (1100), and σ is the population standard deviation (100).
Using this formula, we can calculate the Z-scores for 1070 and 1120, which are -0.3 and 0.2 respectively.
We can then use a Z-table to find the probability associated with each of these Z-scores. The probability associated with a Z-score of -0.3 is 0.6179, and the probability associated with a Z-score of 0.2 is 0.7886.
The probability that the sample mean will lie between 1070 and 1120 is the difference between these two probabilities, which is 0.1707. This is equivalent to a probability of 0.7001 to 0.8500.
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x/2 -5 = -3
Answers: A.4 B.1 C.-4 D.-16
Answer:
A. 4
Step-by-step explanation:
x/2 - 5 = -3
x/2 = 2
x = 4
Multiply both sides of the equation by 2.
x - 10 = -6Add 10 to both sides.
x = -6 + 10Add −6 and 10 to get 4.
x = 4The top of a ladder rests at a height of 12 feet against the side of a house. If the base of the ladder is 9 feet from the house, what is the length of the ladder? Round to the nearest foot.
Answer:
16 ft
Step-by-step explanation:
The length of the ladder is 16\ ft16 ft
Step-by-step explanation:
Let
L ----> the length of the ladder
we know that
Applying the Pythagoras theorem
L^{2}=15^{2} +6^{2}L
2
=15
2
+6
2
L^{2}=261L
2
=261
L=\sqrt{261}\ ftL=
261
ft
L=16\ ftL=16 ft
how is the accuracy rate calculated? how is the accuracy rate calculated? subtract the number of correct predictions from the total number of predictions. divide the number of true positives by the number of true negatives. divide the number of correct predictions by the total number of predictions. add the number of true positives and the number of false negatives.
Accuracy rate is equal to the difference of predicted value and true value divide it by true value and then multiply by 100 to get the rate.
Accuracy value represent the calculated value is more close to the true value.It help us to measure the statistical error.It help us to know what the error given in the measured value of the data.Divide the difference of predicted and true by the true value and then multiply it by 100 to get the accuracy rate.Accuracy test can be done different statistical methods also.Accuracy rate = [ | Predicted value - True vale|/ true value ] × 100
Therefore, the accuracy rate is the percentage of the ratio of difference of predicted value and true value to the true value.
The given question is incomplete, I answer the question in general according to my knowledge:
How is the accuracy rate calculated?
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How to write the equation of the line with m = - 3/4 that goes through (2, –5) in
Slope–Intercept Form.
Answer: y=-3/4x-3.5
Step-by-step explanation:
First, set up the equation based on the information we already know. The slope-intercept form is y=mx+b (m being the slop and b is the y-intercept)
We already know the slope, so we can substitute it.
y=-3/4x+b
Now, the only variable we need to find is b (the y-intercept)
To do this we can substitute the point that was given, (2,-5)
Substitute -5 in for y and 2 in for x.
Then you get the equation -5=-3/4(2)+b
Multiply -3/4 and 2 and you get -5=-3/2+b
Add -3/2 from both sides to isolate b
You then get b=-3.5
Substitute b back in the original equation
Your final answer is y=-3/4x-3.5
If James Handerson wants to see a 15% increase in his bench press, and he can lift 210 pounds now, what goal weight should he shoot for?
James Handerson should shoot for 241.5 lbs.
Step-by-step explanation:Here are the steps to figuring out your problem:First, convert 15% into a decimal by moving the decimal place over twice to get 0.15.
Then, set up this equation:
0.15 x 210 = 31.5
Now, 31.5 is the percent increase, so now we add to the original weight:
210 + 31.5 = 241.5
Solution:
241.5 lbs.
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(4x-7.2)+(-5.3x-8) please help!
Answer:
−1.3x − 15.2
Step-by-step explanation:
step 1: simplify
4x−7.2−5.3x−8
=4x+−7.2+−5.3x+−8
step 2: combine like terms
=4x+−7.2+−5.3x+−8
=(4x+−5.3x)+(−7.2+−8)
=−1.3x+−15.2
Write the equation of the line passing through the points (-1,4) and (-4,1).
The equation of the line is