Each nested cart add to the length of the row is 1.5 feet long.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, the store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
Each row has a starting cart that is 4 feet long, and the nested carts are next to it.
It is measured that a row of 13 nested carts has a length of 23.5 feet.
Therefore, the original length of 13 nested carts is (23.5 - 4) = 19.5 feet.
So, each nested cart add to the length of the row 19.5/13 =1.5 feet
Again, a row of 18 nested carts to be 31 feet long.
Therefore, the actual added length of 18 nested carts is (31 - 4) = 27 feet.
So, each nested cart add to the length of the row 27/18 =1.5 feet
Therefore, each nested cart add to the length of the row is 1.5 feet long.
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"Your question is incomplete, probably the complete question/missing part is:"
A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts (so 0 nested carts means there's just the starting cart). The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
How much does each nested cart add to the length of the row?
y=1/4x+4, solve for x
[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]
[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]
[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]
[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]
[tex]\sf y = \frac{\red {x}+16}{4} [/tex]
[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]
[tex]\sf 4y = \red {x}+16[/tex]
[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]
[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]
[tex]\sf 4y-16= \red x[/tex]
[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]
_____________________....
[tex] \pmb{\color{purple}{LearningLifell}}[/tex]
What are the domain and range of f(x) = x - 3| +6?
O Domain: {x|x is all real numbers}
Range: {yly ≥ 6}
O Domain: {x|x≥ 3}
Range: {y ly ≥ 6}
O Domain: {x|x is all real numbers}
Range: {yly 2-6}
O Domain: {x|x≥ 3}
Range: {yly 2-6}
The domain and range of the absolute value function are the ones in the first option.
Domain: {x|x is all real numbers}Range: {yly ≥ 6}What are the domain an range of the absolute value function?Here we have the absolute value function:
f(x) = |x - 3| + 6
The domain for all absolute value functions is the set of all real numbers, as there are no input that generates a problem with the function.
And the range, the set of the inputs, has a minimum at the vertex.
Remember that if the vertex is (h, k), then we can write the function as:
f(x) = |x - h| + k
Then in this case:
f(x) = |x - 3| + 6
The vertex is at (3, 6)
Then the range is the set of all real values equal to or larger than 6, or:
y ≥ 6
Then the correct option is the first one:
Domain: {x|x is all real numbers}
Range: {yly ≥ 6}
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Please help will mark Brainly
How can you use this pattern to find 3°
Number pattern, sequence, finding the algebraic rule and using a ... To illustrate this, consider the following sequence of numbers {1, 3, 5, 7, 9, …}.
What is Number pattern?Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.Here, we get the numbers in the pattern by skip counting by 5. Given are the steps to identify a number pattern.To solve the problems of number pattern, we need first to find the rule being followed in the pattern.
To find out the rule, we need to see the first few numbers in the series.Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers.Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers. For example: 0, 5, 10, 15, 20, 25, … Here, we get the numbers in the pattern by skip counting by 5.
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The complete question is -
How can you use this pattern to find 3° of the number in Series ?
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
y−
=
(x−9)
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as
y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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Solve: 2x - 5 = 4x + 3
Important: No spaces in your answer
(any spaces within the answer can get the whole answer wrong)
Bennet stated that the opposite of the opposite is always negative Kylie disagreed with bennet and stated that the opposite of the opposite of any number is always positive which erson is correct or are neither correct and explain how u know
Both Kylie and Bennet are correct.
Opposite of the opposite of a number is negative if the number is a positive number.
Opposite of the opposite of a number is positive if the number is a negative number.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
The Opposite of x is -x.
Opposite of -x.
= -(-)
= x
Number = -x
The opposite of -x.
= -(-x)
= x
The opposite of x.
= -x
Thus,
Both the person is correct.
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find the values of the variable in the following, giving brief reasons:
Therefore , as a result, we may state that the stated trapezoid angles x = 110°, which is the solution to the problem.
Explain the trapezoid.A trapezoid is a quadrilateral that has at least one connected pair of sides. It has the name trapezium. By definition, a trapezoid in Euclidean geometry is a convex quadrilateral. The trapezoid's base is made up of its parallel sides. A closed, flat shape having two neighboring sides and four successive sides is called a trapezoid. The parallel walls and base of the trapezoid are commonly referred as as the parallel sides and the legs, respectively.
Here,
Given : 110°
and 90°
To find the value of x ,
Thus,
The value of angle opposite to x :
=> 110° + y =180°
=>y =180°-110°
=>y = 70°
thus, x value is
=> x + 70° =180°
=> x =110°
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8.326 rounded to the nearest tenth
Answer:
8.3
Step-by-step explanation:
The number after three is below 5 so it stays as 8.3
A science teacher makes two mixtures of red dye and water. Mixture A has 3 mL of red dye every 20 mL of water. Mixture B has 4mL of red dye fr every 30 mL of water. Which mixture is redder?
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Two red dye and water combinations are created by a science teacher. For every 20 mL of water in Mixture A, 3 mL of red dye is present. For every 30 mL of water in Mixture B, 4 mL of red dye is present.
The ratio of the red dye to water for A is given as,
⇒ 3 / 20
⇒ 0.15
The ratio of the red dye to water for B is given as,
⇒ 4 / 30
⇒ 0.133
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
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 A jar filled with maple syrup weighs 1.5 pounds. Two jars filled with honey weigh 3 pounds. What is the weight of the jar?
The weight of the jar after solving equation simultaneously is w=0.
Define system of linear equation.A set of two or more first-degree equations with two or more connected unknowns is known as a system of linear equations.
How to solve system of linear equation.A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied. That is, it is necessary to find the values of the unknowns so that, when substituted, they will produce the suggested solution in both equations.
j+w=1.5
2j+w=3
Simultaneously solving gives
w=0
the weight of jar is 0.
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Two bulbs flush at regular intervals at 30 and 36 seconds respectively they flush together at 10:45 AM what time will they flush together for the second time
Answer: 10:48 AM
Explanation:
Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.
Hope this helps!!! :)
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
Show that 12 multiplied by 4 is 48, using at least three daily life examples.
Answer:
Step-by-step explanation:
If there are 12 cookies in a package and you want to buy 4 packages, you will need a total of 12 x 4 = 48 cookies.
If you have a dozen eggs and you want to make 4 omelets, you will need a total of 12 x 4 = 48 eggs.
If you have 12 pieces of fruit and you want to make 4 fruit salads, you will need a total of 12 x 4 = 48 pieces of fruit.
5. Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
The decimal value is exact without any rounding.
==========================================================
Explanation:
If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78
An increase of 6% leads to 100%+6% = 106% and that converts to 1.06
Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.
Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.
---------
Extra info:
The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%
This means Jackson is getting a real discount of 17.32% after the taxes have been considered.
Convert:
25 decimeters
=
Round to the tenths.
meters
Answer:
2.5
Step-by-step explanation:
Decimeter is 0.1 meter (10 centimeters). That means 25 decimeters is 2.5 meters.
with a 5% sale discount the price of an item is $38 what was the original price
Answer:
[tex]38 \div5 \\ [/tex]
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. What is the area of the garden?
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.
What is area of a rectangle?A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.
So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.
So, it is a rectangular garden.
Now, area = 5⅔ feet × 6⅚ feet
or, area = 17/3 feet × 41/6 feet
or, area = 697 /18 feet²
or, area = 38.72 feet²
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Frank does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 6 hours. He spends at most 12
hours on weight training. He spends at most 3 hours doing cardiovascular work. Letx denote the time (in hours) that Frank spends doing cardiovascular work.
Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
The expression can be written as x ≤ 3 + y ≤ 12 ≥ 6. which is an inequality.
What is inequality?
A mathematical operator that expresses the inequal comparison between different numbers or different variables and numbers. There are various types of inequalities such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤
How to express the inequality as per given statement?
Frank participates in exercise program at least 6 hours in each week.
He spends at most 12 hours on weight training
y denotes the time in hours that he spends on weight training.
Frank spends at most 3 hours doing cardiovascular works
x denotes the time in hours that he spends doing cardiovascular works
The expression that can represent the above statement.
can be written as
x ≤ 3 and y≤ 12
x ≤ 3 + y ≤ 12 ≥ 6
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find the equation of a line parallel to y=-5x+3 that pases through the point -3,-4
Answer:
y = -5x -19
Step-by-step explanation:
You want the equation of the line parallel to y=-5x+3 through point (-3, -4).
Parallel linesThe equations of parallel lines differ only in their constant. We can find the new constant by using the values at the given point:
y = -5x +b
-4 = -5(-3) +b
b = -4 -15 = -19 . . . . . . subtract 15
The equation is ...
y = -5x -19
Write a number sentence using multiplication ti show what fraction represented on the mumber line is equivalent to 3/4
The fraction that is equivalent to 3/4 is seen as; 6/8
How to represent fractions?A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.
We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.
Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.
Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;
(3 * 2)/(4 * 2) = 6/8
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2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5
A=2,B=1/2 and C=0
A=1,B=0 and C = 5
O A=1/4,B=3/4 and C=0
Answer:the third one
Step-by-step explanation:
\int (2)/(\sqrt(5x^(2))+3)dx and steps
Answer:
Step-by-step explanation:
Company A charges 125$ annual fee plus 7$ per hour car share fee. Company B charges 110$ plus 10$ per hour. What is the minimum number of hours that a car share needs to be used per year to make company a better deal?
Answer:
6
Step-by-step explanation:
Let the number of hours be [tex]x[/tex].
[tex]125+7x<110+10x \\ \\ 15+7x<10x \\ \\ 15<3x \\ \\ x>5[/tex]
So, the minimum is 6 hours.
Write and solve the inequality that represents
is greater than or equal to the product of 2 and a number.
5
3
The following is the proper response to this problem's inequality. The relationship between negative one fifth and negative two thirds is higher than or equal when y is bigger than or equal to three tenths.
what is inequality ?In mathematics, an inequality is a link between two expressions or values that is not equal. Thus, inequality arises as a result of imbalance. An inequality in mathematics describes the connection between two values that are not equal. Many simple inequalities can be eliminated by modifying both sides until just the variables are left. However, a number of things lead to inequality: On both sides, divide or add negative values. Toggle between left and right.
Given
One fifth less is -1/5.
When a negative two thirds is added to a number, the result is -2/3x. Since the value is unknown, we refer to it as x.
The following is the sign for more than or equal inequality:
The inequality is therefore: -1/5 -2/3x.
So that it will be easier for us to isolate x:
2/3x ≥ 1/5
2x ≥ 3/5
x ≥ 3/10.
Since y is more than or equal to three tenths, the right answer for the inequality is: negative one fifth is greater than or equal to negative two thirds y.
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A triangular side panel for a roof has the dimensions shown.
26 ft
30°
What is the approximate area, in square feet, of the side panel?
OA.
О в.
O C.
O D.
239
146.4
119.5
60°
292.7
Answer:
d
Step-by-step explanation:
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Help me please! Whoever answers correctly gets brainliest and 40 points!
Which number is equivalent to the fraction 15/7?
O 2
O 2 1/7
O 7/15
O 1 8/7
Show your work please!!!
Answer:
Error is in line 3
Error description: Root of 4 is 2 not 4
Correct answer should be 9*√5 (12*√5 - 3*√5)
One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
Answer:
Cost = 12696
Step-by-step explanation:
One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
find the area and multiply by 1.50
Square area = l²
Square area = 92²
Square area = 8466 m²
Cost = Area × rate of 1.50 per sq.m
Cost = 8466 × 1.50
Cost = 12696
a) calculer: f(1,5); f(2,5); f(2)
Answer:
Step-by-step explanation:
you should give the function, if i haven't it, how can i help you.
i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.