At the end of the week, the store has 212 tuffed animals.
To determine the number of tuffed animals in the store at the end of the week, we need to subtract the number of tuffed animals sold during the week from the number of tuffed animals in the store at the beginning of the week.
349 tuffed animals (beginning of the week) - 137 tuffed animals (sold during the week) = 212 tuffed animals (at the end of the week).
So at the end of the week, the store has 212 tuffed animals.
The concept used to solve this problem is subtraction. Specifically, we are using the inverse operation of addition. By subtracting the number of tuffed animals sold during the week from the number of tuffed animals in the store at the beginning of the week, we are able to find the number of tuffed animals in the store at the end of the week. The subtraction operation is used to find the difference between two quantities, which in this case is the number of tuffed animals remaining in the store.
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Name the polynomial by its degree and number of terms 4x^5+2x^4+7
Answer:5
Step-by-step explanation:
Write a quadratic equation in the form x^2+bx+c=0 that has the following roots: {-9,3}
Quadratic equation x² + 6 · x - 27 = 0 contains roots x₁ = - 9 and x₂ = 3.
How to derive the quadratic equation that contains a set of two roots
In this question we find the case of a quadratic equation of the form x² + b · x + c = 0, whose roots are x₁ = - 9 and x₂ = 3, respectively. A value of x is a roots when x² + b · x + c = 0. Then, we proceed to find the values of the two coefficients.
First, write the resulting system of linear equations:
- 9 · b + c = - 81
3 · b + c = - 9
Second, use numerical methods to find the values of the coefficients:
(b, c) = (6, - 27)
Third, write the resulting quadratic equation:
x² + 6 · x - 27 = 0
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Sandra won 44 toffees in a competition. She gives one toffee to each of her classmates and has at least 10 toffees left at the end. Find the number of students in her class
Answer:
Sandra has 34 classmates.
Step-by-step explanation:
Answer:
The number of students in Sandra's class is 34.
Step-by-step explanation:
Step 1: Let x be the number of students in Sandra's class.
Step 2: We know that Sandra has at least 10 toffees left after giving some toffees away to her classmates. This means that:
x + 10 <= 44
Step 3: We can simplify the inequality in step 2 as:
x <= 44 - 10
x <= 34
Step 4: This means that the number of students in Sandra's class is 34 or fewer.
Step 5: The number of students in her class is the number of toffees Sandra gives away, so we can set up an equation:
x = 44 - 10
Step 6: Solving the equation in step 5 gives:
x = 34
question 7...help please yall
answer
Step-by-step explanation:
they two are in a straight line so
it can be added
or, 3x+2+6x-20=180[straight angle]
or, 9x-18=180
or, 9x=180+18
or, 9x=198
or, x=198÷9
or, x=22
the value of x is 22
Each pair of figures below is similar. Find the lengths of the unknown sides that are marked with a variable
The lengths of the unknown sides that are marked with a variable are;
a. x = 24
y = 10
b. x = 5
Properties of similar triangles.When on comparing the corresponding sides of two or more triangles, they are said to be similar if they have some common properties.
To find the lengths of the unknown sides that are marked with a variable, we have;
a. To determine the value of y,
21/ y = 15/ 21
cross multiply to have
15y = 21 * 21
= 441
y = 441/ 15
= 29.4
y = 24
ii. To determine the value of x,
25/ (25 + x) = 15/ 21
cross multiply
15(25 + x) = 25 * 21
375 + 15x = 525
15x = 525 - 375
= 150
x = 150/ 15
x = 10
b. 5/ 6 = 4.2/ x
6*4.2 = 5x
25.2 = 5x
x = 25.2/ 5
= 5.04
x = 5.0
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What are the conditions of parallel lines?.
Conditions for the parallel lines are as follow :
a. Lines should not intersect each other.
b. Slope of the given lines should be equal.
c. Parallel lines represent equations has no solution.
As given in the questions ,
Conditions for the parallel lines are given by :
a. If the two given lines are parallel to each other then they should not intersect each other.
Distance between the lines remains same.
b. Slope of the two parallel lines should be equal.
y = m₁ x + c
y = m₂ x + c
Here slope represented by m.
⇒m₁ = m₂
c. If two given equation has no solution then the given lines are parallel lines.
2x = 4x + 5
x = 2x + 3
Here m₁ = m₂ = 2
Therefore, the condition of the parallel lines are:
a. Lines should not intersect each other.
b. Slope of the given lines should be equal.
c. Parallel lines represent equations has no solution.
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What are the 4 inverse operations in math?.
The 4 inverse operations in math are addition, multiplication, square root and cube root.
The term inverse in math is referred to as the opposite of another operation and for example, the inverse of the number 2 is written as 1/2.
Here we need to identify the four inverse operations in math.
Here we also need to know that a function or operation which reverses the order or operation of another function or operation
According to the definition of the term inverse, the type of inverse operation in math is defined as follows:
=> addition and subtraction,
=> multiplication and division,
=> squares and square roots only for positive numbers,
=> cubes and cube roots.
And basically these inverse operations are used in solving algebraic equations
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How many turns is a 90 degree turn?.
In 90 degrees turn there are 1/4 (one fourth) of the full turn.
A degree is the name given to the mathematical unit of measurement for an angle. A protractor is a device used to determine the degree of an angle. Angles can be measured at different angles with different degrees, such as 30°, 45°, 60°, and so on. A complete circle rotates at 360°.
A right angle is defined as an angle in geometry and trigonometry that is exactly 90 degrees, or pi /2 radians, or one-quarter turn. The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.
A right angle is one that is 90 degrees. A 90-degree angle exists when the angle formed by the horizontal and vertical lines is exactly equal to 90 degrees.
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How do you fully simplify polynomials?.
To simplify a polynomial, we have to do two things:
1) combine like terms, and
2) rearrange the terms so that they're written in descending order of exponent.
In order to combine like terms, we must first determine which terms can be added to or subtracted from one another. The same variable (with the same exponent) is always associated with like expressions. For instance, adding one "x-squared" to two "x-squareds" results in three "x-squareds," but adding one "x-squared" to a "x" is impossible because the two words are unrelated.
An algebraic expression that displays the sum of monomials is called a polynomial. Since "mono" signifies "one" in the prefix, a monomial is a singular element or phrase. 'Poly' is a prefix that means'many. Thus, an expression that has numerous terms is said to be polynomial. The relationships between the terms may be sums or differences.
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How do I solve 2x 3y 16?.
The equation 2x + 3y = 16 has infinitely many solutions.
We know that a linear equation in two variables is of the form ax + by + c = 0, where a, b, c are non-zero real numbers.
Here we have been given a linear equation in two variables 2x + 3y = 16
We solve this equation for x,
Consider 2x + 3y = 16
2x + 3y - 3y = 16 - 3y .........(subtract 3y from each side of equation)
2x/2 = (16 - 3y)/2 .........(divide each side by 2)
x = (16 - 3y)/2
for any real value of y we can find value of x.
This means, an equation 2x + 3y = 16 has infintely many solutions.
For x = 0,
2(0) + 3y = 16
y = 16/3
y = 5.333
This means, the y-intercept of line 2x + 3y = 16 is (0, 5.333)
For y = 0 ,
2x + 3(0) = 16
x = 16/2
x = 8
This means, the x-intercept of line 2x + 3y = 16 is (8, 0)
The graph of 2x + 3y = 16 is shown below.
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The complete question is:
How many solutions does the equation 2x + 3y = 16 have?.
a shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomial is called ___.
The shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomial is called synthetic division.
Synthetic division is a simplified method of dividing a polynomial by a linear polynomial. It is used to divide a polynomial by a linear polynomial that is of the form x-c, where c is a constant. The synthetic division method is based on dividing the polynomial by the linear polynomial by using the coefficients of the terms of the polynomial.
The quotient and the remainder of the division are obtained by performing a few simple arithmetic operations. It is a quick and efficient way to divide polynomials and is particularly useful when dividing polynomials with large degrees
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Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply. (StartFraction negative 4 x over 1 EndFraction + three-fourths = 12 Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12 StartFraction negative x + 3 over 4 EndFraction = 12 One-fourth (x + 3) = 12 (StartFraction negative x over 4 EndFraction + three-fourths = 12
The equation that is equivalent is
-x/4 + 3/4 = 12
Option D is the correct a nswer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
The equation for Negative one-fourth (x) + three-fourths = 12 is,
(-1/4)x + (3/4) = 12 _____(1)
Now,
-4x + 3/4 = 12
This is not equivalent to (1).
-1(x/4) + 3/4 = 12
This is not equivalent to (1).
-x + 3/4 = 12
This is not equivalent to (1).
1/4 (x + 3) = 12
(1/4)x + 3/4 = 12
This is not equivalent to (1).
-x/4 + 3/4 = 12
This is equivalent to (1).
Thus,
The equation that is equivalent is
-x/4 + 3/4 = 12
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What is the least common multiple of 7, 3, and 4?
How many image are formed by a plane mirror if the angle is 45?.
There are 7 images are formed by the plane mirror if the angle is 45°.
The term angle in math is known as a combination of two rays with a common endpoint.
Here we have given that we need to find the number of image are formed by a plane mirror if the angle is 45.
As we all know that when the object is asymmetrically placed between the mirrors, then the number of images formed will be calculated by using the overall degree value that is 360 degree.
The general form to calculate the number of images is formed is calculated as
=> (360/n) -1
As we all know that the value of n in the given question is 45.
Then the value is calculated as,
=> (360 / 45) - 1
=> 8 - 1 = 7
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Part 1
A blender has blades as shown. What counterclockwise rotation will map the blade formed
A rotation of 270° counterclockwise will map the blade formed by ΔFEG onto the blade formed by ΔHGI
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the first triangle be represented as ΔFEG
Let the second triangle be represented as ΔHGI
Now , for both the triangles to be similar , the mapping of the rotation of the blade should be rotated once in the clockwise or three times in the counterclockwise direction
So , for a rotation of 90° clockwise rotation: (x,y) becomes (y,-x)
So , for a rotation of 270° counterclockwise rotation: (x,y) becomes (y,-x)
The ΔFEG of the blade will map itself onto the ΔHGI of the blade after a rotation of 270° counterclockwise rotation
Hence , the rotation is 270° counterclockwise rotation
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A eed company a floral moaic of a national flag. The perimeter of the flag i 2,080ft determine the flag’ width and length , if the length i 400 ft greater than the width
The width of the flag is 640 ft and the length is 1040 ft
To calculate this we can take the width of the flag can be represented as "w" and the length as "l".
From the information given, we know:
l = w + 400 (because the length is 400 ft greater than the width)
2 * (w + l) = 2080 (because the perimeter is 2,080 ft)
We can substitute the first equation into the second equation to get:
2 * (w + w + 400) = 2080
2w + 800 = 2080
2w = 1280
w = 640
Therefore, the width of the flag is 640 ft and the length is 1040 ft (since l = w + 400)
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Lui ha $420 to pend at a bicycle tore for ome new gear and biking outfit. Aume all price lited include tax. He buy a new bicycle for $209. 67. He buy 2 bicycle reflector for $6. 04 each and a pair of bike glove for $25. 77. He plan to pend ome or all of the money he ha left to buy new biking outfit for $37. 16 each. Which inequality can be ued to determine xx, the maximum number of outfit Lui can purchae while taying within hi budget?
The inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
How is inequity resolved?
Luis has $420 to spend at a bicycle shop on new accessories and clothing.
He spends $209.67 on a brand-new bicycle.
He spends $6.04 apiece on two bicycle reflectors and $25.77 on a pair of cycling gloves.
He intends to use all or part of the remaining funds to purchase new riding clothing at $37.16 apiece.
Therefore,
x is the maximum amount of clothes Luis can buy on a tight budget.
In order to illustrate the scenario, the inequality that may be employed is as follows:
209.67 + 6.04(2) + 25.77 + 37.16x ≤ 420
235.44 + 12.08 + 37.16x ≤ 420
247.52 + 37.16x ≤ 420
37.16x ≤ 420 - 247.52
37.16x ≤ 172.48
divide both sides by 37.16
x ≤ 4.64155005382
x ≤ 4
Therefore, the inequality that can be used to determine x, the maximum number of outfits Luis can purchase while staying within his budget is x ≤ 4
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Without using a calculator, determine between which two integers the following surds lie (a) √50
Answer:
√50 must lie between 7 and 8
Step-by-step explanation:
To some extent you have to know the squares of integers
7² = 49
8² = 64
So √50 must lie between 7 and 8
What percentage of the core are within one tandard deviation of the mean (1)? Pleae include the range of value for thi deviation and the exact value from the data et that are included in thi range
Answer:
The grand pacer test stated that the percentage of the core would be 50%
SThe range of tep-by-step explanation:
the sum of two numbers is 12. the difference between the two numbers is one. what are the two numbers?
The two numbers are x = 13/2 and y = 11/2.
Let's call the two numbers x and y. We are given that:
x + y = 12 (the sum of the two numbers is 12)
x - y = 1 (the difference between the two numbers is 1)
We can use these two equations to solve for x and y.
From the first equation, we can add y to both sides to get:
x = 12 - y
Now we can substitute this into the second equation:
(12 - y) - y = 1
12 - 2y = 1
12 = 1 + 2y
2y = 11
y = 11/2
Now that we know the value of y, we can substitute it back into x = 12 - y to find the value of x:
x = 12 - (11/2)
x = 12 - 11/2
x = (24 - 11)/2
x = 13/2
So the two numbers are x = 13/2 and y = 11/2.
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Please help! I will give 40 points.
Answer:
d) x[tex]\geq 4[/tex]
Step-by-step explanation:
Answer:
option d is correct ok hope it helps
Plot 213, −56, and −312 on the number line.
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
Simplify: 3(6b+ 2 + 2a + 8)
Answer:4682.830393
Step-by-step explanation:
What are the 7 different types of angles?.
Answer:
Zero Angle (0° in Measure), Acute Angle (0 to 90° in Measure), Right Angle (90° in Measure), Obtuse Angle (90 to 180° in Measure), Straight Angle (180° in Measure), Reflex Angle (180 to 360° in Measure), and Complete Angle (360° in Measure)
Step-by-step explanation:
How do you find the range of a Class 7 maths?.
The range of a number collection in mathematics is the difference between its highest and lowest values.
By dividing the greatest number by the lowest value, the range is computed. The difference between a group of numbers' highest and lowest values is regarded as the range.
Subtract the distribution's lowest number from its greatest number to calculate it. The function's range is the resolution. f(x) is [0,∞] and its domain f(x)=|x-1| is R.
The space between the greatest and smallest data points in a set of numerical information is termed the range. The average of the greatest and smallest data points is intermediate.
The minimum value from the maximum value from the supplied set of observations must always be subtracted in order to establish the range. The range between the maximum and least frequencies is regarded as the range.
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Find the missing side length.
Answer: 8 yd
Step-by-step explanation:
12 - 4 = 8
u can see that the side below the side x is "side x + 4" so if we substract 12-4 we get 8
How do you find the domain of a function step by step?.
The domain of a function is the complete set of possible values of the independent variable, i.e., x-coordinates.
Let y = f(x) be a function with independent variable x and dependent variable y. If a function f provides a way to successfully produce a single value y using values of x for that purpose, then the chosen x-value is said to belong to the domain of f . When finding your domain, keep the following in mind:
Fraction, denominator cannot be zero.The number under the square root character must be positive in this section.In general, you determine the domain of a function by finding the values of the independent variable (usually, x) that we can use. Consider function y = sinx as an example , As we know the range of sinx is lie between −1 and 1. The domain of y = sin x is "all values of x", since there are no restrictions on the values for x. All those values of x for which the fi sinx value in [-1,1] interval are belongs to domain set. Graph of functions also help to find out domain and range set.
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Emma tried to olve an equation. T
−
3
5
=
4
5
t
−
3
5
3
5
=
4
5
3
5
Setting up
t
=
1
Calculating
t−
5
3
t−
5
3
5
3
t
=
5
4
=
5
4
5
3
=1
Setting up
Calculating
Where did Emma make her firt mitake?
This would then result in the answer of t = 5/4.
Emma's first mistake was when she set up the equation. She started with:
−
3
5
=
4
5
t
−
3
5
This equation does not make sense mathematically, as it cannot be solved. The equation should have been set up as:
3
5
=
4
5
t
By setting up the equation correctly, Emma could have proceeded to solve the equation. To solve the equation, she would have needed to subtract 3/5 from both sides of the equation, resulting in
3
5
−
3
5
=
4
5
t
−
3
5
This would then result in the answer of t = 5/4.
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Answer:
calculating
Step-by-step explanation:
9 A teapoon of ugar ha a ma of 4. 2 gram. (a) Write down the ma of thi ugar in milligram
So, the mass of a teaspoon of sugar in milligrams is 4200 milligrams.
A teaspoon of sugar has a mass of 4.2 grams. To convert this mass to milligrams, we can use the conversion factor of 1 gram = 1000 milligrams. This means that for every gram, there are 1000 milligrams. To convert a value in grams to milligrams, we simply multiply the value in grams by 1000.
So to convert the mass of 4.2 grams to milligrams, we can use the following calculation:
4.2 grams * 1000 milligrams/gram = 4200 milligrams
Therefore, the mass of a teaspoon of sugar in milligrams is 4200 milligrams. This is because 4.2 grams is equivalent to 4200 milligrams. The conversion factor of 1 gram = 1000 milligrams is used to convert the value of 4.2 grams to 4200 milligrams.
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Can someone please help me with this math problem? The math problem is in the picture, Thanks!
Domain:
Range:
Answer:
Domain is [-1, 3]
Range is [1, 2]
================================
Explanation:
The domain is the set of allowed input values. It's the set of all possible x coordinates of the points shown.
The left-most point is when x = -1, while the right-most point is at x = 3.
We can say [tex]-1 \le \text{x} \le 3[/tex] meaning x is between -1 and 3, including both endpoints.
That compound inequality translates to the interval notation [-1, 3]
Square brackets are used to include the endpoints.
-----------------
The range handles the set of possible y outputs.
The lowest we can go on the graph is y = 1, and the highest is y = 2
Therefore we arrive at [tex]1 \le \text{y} \le 2[/tex] which translates to [1, 2]
