The integer that makes the expression, (____ + -3 = -4), true is -1.
According to the question,
We have the following expression:
__ + (-3) = -4
Now, let's take the integer to be filled in the blank as x.
Now, putting x in the given expression:
x + (-3) = -4
x = -4+3 (3 was negative on the left hand side. So, it is positive on the right hand side.)
x = -1
(More to know: when two numbers are given with two different signs then the smaller number is subtracted from the larger number but the sign remains of the number which is larger.)
Hence, the integer that makes the given addition sentence true is -1.
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1. Mrs. is selling tickets to a school carnival fundraiser. Adult tickets are $5 and student tickets
are $3. At the end of the fundraiser, she had made $521 and had sold a total of 145 tickets. How
many student tickets did she sell?
Taking into account the definition of a system of linear equations, she sold 102 student tickets.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
This caseIn this case, a system of linear equations must be proposed taking into account that:
A: number of adults tickets sold.S: number of students tickets sold.Knowing that:
Adult tickets are $5 and student tickets are $3. At the end of the fundraiser, she had made $521 and had sold a total of 145 tickets.the system of equations to be solved is
[tex]\left \{ {{A+S=145} \atop {5A+3S=521}} \right.[/tex]
Of the multiple methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable A from the first equation:
A= 145 - S
Replacing this expression in the second equation:
5(145 - S) + 3S= 521
5×145 - 5S + 3S= 521
725 - 5S + 3S= 521
-5S + 3S= 521 - 725
-2S= -204
S= (-204)÷(-2)
S= 102
Finally, she sold 102 student tickets.
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Do any points remain invariant under glide reflections? under compositions of transformations? Explain.
A glide reflection is commutative. Reversing the direction of the composition will not affect the outcome.
A composite transformation is a glide reflection, right?
A composite transformation known as a glide reflection consists of a translation and a reflection that run parallel to one another. It is not crucial which of the two constituent transforms—reflection and translation—occurs first.Which of the ensuing characteristics is unaffected by a glide reflection?
A glide reflection maintains angle measurement. A gliding reflection maintains parallelism. In a glide reflection, perpendicularity is maintained. A gliding reflection maintains collinearity (points remain on the same lines).Learn more about glide reflections
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Which place value first determines which of the numbers 2.7693 or 2.7602 is the larger number?
•hundredths
•thousandths
• hundredths thousandths
•ten thousandths
Answer:
B. Thousandths
Step-by-step explanation:
Let's compare the numbers:
2.7693
2.7602
^ This is where the numbers first differ.
This number is three spaces to the right of the decimal, so it is in the thousandths place.
Choose any pair of negative numbers and carry out multiplication with those numbers
A rectangualr field has a perimeter of 150m The field is 15 metres longer than it is wide . The width of the field is x metres
The required width of the rectangle is 10 meters.
Given that,
A rectangular field has a perimeter of 150m The field is 15 meters longer than it is wide. The width of the field is x meters.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
The area of the rectangle = length * width
150 = 15 * x
x = 150 / 15
x = 10
Thus, the required width of the rectangle is 10 meters.
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Solve each absolute value equation.
|x-3|+2=7
Absolute value equality entered:
|x-3|+2 = 7
Another term is moved/added to the right-hand side.
|x-3| = 7 - 2
|x-3| = 5
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-3|
For the Negative case, we'll use -(x-3)
For the Positive case, we'll use (x-3)
-(x-3) = 5
Multiply
-x+3 = 5
Rearrange and add up
-x = 2
Multiply both sides by (-1)
x = -2
Which is the solution for the Negative Case
(x-3) = 5
Rearrange and add up
x = 8
Which is the solution for the Positive Case
x=-2
x=8
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Question 8 of 10
The coefficients in the expansion of (x + y)6 are?
OA. 0, 6, 15, 20, 15, 6, 0
OB. 1, 6, 15, 15, 6, 1
O C. 1, 6, 15, 20, 15, 6, 1
OD. 0, 1, 6, 15, 15, 6, 1, 0
SUBMI
Answer:
The coefficients of the expansion are given by the 6th row of Pascal's triangle, where the top row is row zero, the next is row one, etc. The coefficients of the 6th row are used because we are expanding to the 6th power. The coefficients are 1 , 6 , 15 , 20 , 15 , 6 , 1 .
mark me as Branlist answer.Hope it helps.
f(x)=|x|+5 horizontal shrink of factor 3
The function that models the horizontal shink of f(x) by a scale factor k = 3 is:
g(x) = |3*x| + 5
How to apply a horizontal shrink to the given function?Here we want to apply a transformation to a given function where the transformation is a shrink.
For a function f(x), a horizontal shrink (or compression) of scale factor K is written as:
g(x) = f(k*x)
In this case we have the absolute value function:
f(x)= |x| + 5
And we want to apply an horizontal shrink of scale factor k = 3, so we will have a new function defined as:
g(x) = f(3*x)
If we replace f(x) by the function above we will get:
g(x) = f(3*x) = |3*x| + 5
So we conclude that the transformed function is just:
g(x) = |3*x| + 5
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Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.
negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power
The equivalent expression for the given expression is 4² or 16.
The given expression is [tex]\frac{-4^{4} }{-4^{2}}[/tex].
We need to write the equivalent expression for the given expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Now, [tex]\frac{-4^{4} }{-4^{2}}[/tex] can be simplified as follows:
=[tex]4^{4} \times4^{-2} =4^{4-2}[/tex] (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])
=4²=16
Therefore, the equivalent expression for the given expression is 4² or 16.
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12x-(4+2x)
with solution please
A unit rate is a rate at which the the comparison is one unit.
Yes, a unit rate is a rate at which the the comparison is one unit.
A unit rate is a ratio between two separate units with one as the denominator.
Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life. This subject is all about mathematical procedures and problems centered on numbers.
We actually solve mathematical puzzles during our daily activities, whether we mean to or not. For instance, whether buying fruits or vegetables, engaging in other transactions, or determining how quickly something will happen, etc.
When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the denominator of a rate is 1, we refer to it as a unit rate.
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In your next job you are given a salary of $38,000 per annum. How much would you be paid: a) Per month
A Florida orange juice plant started producing a juice blend, it must be within 0.78 fluid ounces of the advertised 32 fluid ounces on the label. If x represents the volume, write an equation to model the maximum and minimum volumes and determine the minimum volume in a bottle.
|x - 32| = 0.78
|x + 32| = 0.78
|x - 0.78| = 32
|x + 0.78| = 32
The correct equation is:
|x - 32| = 0.78
In this case, x represents both the maximum and minimum accepted volumes.
How to writhe an equation that models the maximum and minimum volumes?We know that the mean volume is 32 fluid ounces, and the acceptable error is 0.78 fluid ounces.
Then the maximum acceptable volume is 32 + 0.78 fluid ounces, and the minimum acceptable volume is 32 - 0.78 fluid ounces.
This means that the absolute value of the difference between x, the volume, and 32, must be equal to 0.78
This is written as:
|x - 32| = 0.78
In this case, x represents both the maximum and minimum accepted volumes.
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What is the value of the function at x=−3?
candace askes 100 studes what flouvor crisp they like
Answer:
This is a survey
Step-by-step explanation:
For all x,
17x⁵+3x²+2-(-4x⁵+3x³-2)=
A. 13x⁵+3x³+3x^2
B. 13x⁵+6x²+4
C. 21x⁵-3x³+3x²+4
D. 21x⁵+3x²+3x³
E. 21x⁵+3x³+3x²+4
21x⁵-3x³+3x²+4 will be the solution for x for the given equation 17x⁵+3x²+2-(-4x⁵+3x³-2) so option (D) will be correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear b. An equation is said to be linear if the maximum power of the variable is consistently unity.
Given the equation,
17x⁵+3x²+2-(-4x⁵+3x³-2)
⇒ 17x⁵+3x²+2 + 4x⁵- 3x³+ 2
⇒ 17x⁵ + 4x⁵ - 3x³ + 3x² + 4
Hence "21x⁵-3x³+3x²+4 will be the solution for x for the given equation 17x⁵+3x²+2-(-4x⁵+3x³-2)".
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How many triangles are in a pentagon with a star inside
Answer:
10
Step-by-step explanation:
5 outside the star 5 inside the star
what is the value of a
can anyone help ? i really don’t understand this question
If NP bisects
X =
m/RNM =
We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.
What are angles?An angle is a figure in Euclidean geometry formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles formed by two rays are located in the plane containing the rays. Angles are also formed when two planes intersect. These are known as dihedral angles.So,
∠MNQ = ∠MNP + ∠PNQ8x + 12 = ∠MNP + 788x + 12 - 78 = ∠MNP8x - 66 = ∠MNP8x = ∠MNP + 66x = (∠MNP + 66)/8Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:
∠MNQ = 8x + 12∠MNQ = 8 ×(∠MNP + 66)/8 + 12∠MNQ = ∠MNP + 66 + 12∠MNQ = ∠MNP + 78Hence, m∠RNM = ∠RNQ - ∠MNP + 78
Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.
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state and prove the section formula of external division
Answer:
Section formula for external division:
[tex]P(x,y)=(\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )[/tex]
By drawing two comparable right triangles, the evidence for this result is similar to the proof for internal divisions.
What is section formula?If we know the ratio of the internal distances of any two points from the provided location, we may use the section formula to obtain the coordinates of that point.
If we were to determine the coordinates of the point P, we might use the formula below by knowing the coordinates of the points A and B and the ratio of their distances to the provided point P. (section formula).
Since all other values must be provided, any formula with two or more variables can be used to determine the value of any variable. Therefore, the formula also include the other quantities.
Another well-known coordinate geometry formula exists and is a specific instance of the section formula.
If a point is equally spaced from the provided points, the mid-point formula may be used to get its coordinates. (where the ratio of m to n is 1:1)
Thanks,
Eddie
Train A leaves Valley station at 2:00 pm traveling south at a rate of 50 miles per hour. Train B leaves Valley station at 6:15 pm the same day and travels north. At 8:00 pm the same day, Train A and Train B are 405 miles apart. What is the average rate of Train B?
(A) 52 mph
(C) 60 mph
(B)55 mph
(D) 75 mph
Translate this phrase into an algebraic expression.
64 decreased by twice Greg's savings
Use the variable g to represent Greg's savings.
Answer:
64 - 2g
Step-by-step explanation:
64 decreased by twice Greg's saving (given)
↓ ↓ ↓ ↓
64 - 2 g (final equation)
64 - 2g
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Aplica la propiedad distributiva para crear una expresión equivalente 2(3-8y)=
Answer:
2(3-8y)=
6-16y
Step-by-step explanation:
Please help ASAP! I have this assignment due today!!! And I don't want fail it! If you have the answer i would greatly appreciate it!
Answer:
option 1
Step-by-step explanation:
hope this works :)
Hector's school is holding a fitness challenge. Students are encouraged to exercise at least 2 1/2 hours per week. Hector exercises about the same number of hours each week. During a 4-week period, he exercises for 11 1/2 hours. Hector wants to compare his exercise rate with the fitness challenge rate.
Hector outperformed the challenge rate as he exercised 2.88 hours a week.
It is best to convert the mixed fraction to decimals for easier calculation.
The students are encouraged to exercise 2¹/₂ hours per week. In decimals this is:
= 2 + ¹/₂
= 2 + 0.5
= 2.5 hours per week
In the 4 week period, Hector exercised 11¹/₂ hours which is:
= 11 + ¹/₂
= 11 + 0.5
= 11.5 hours
The number of hours he exercised per week is:
= Number of hours in total / Number of weeks
= 11.5 / 4
= 2.88 hours per week
When compared to the fitness challenge rate, we can conclude that Hector outperformed the challenge rate
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Three consecutive odd integers are such that the square of the third integer is 15 greater than the sum of the squares of the first two. One solution is 3, 5, and 7. Find three other consecutive odd integers that also satisfy the given conditions.
Answer:
1, 3 and 5
Step-by-step explanation:
You can formulate the postulate as:
x² + (x + 2)² + 15 = (x + 4)²
Which simplifies to x² - 4x + 3 = 0, with solutions x=1 and x=3
so 1, 3 and 5 must be the other tuple.
Susie and friends rent 3 life jackets and a boat. The life jacket rents for $5.00 each. The boat rents for $25.00 per hour. The total cost is $115. What is an equation that can be written to represent this situation? Explain your steps.
The equation that can be written to represent this situation is 15 + 25h = 115.
How to illustrate the equation?Let the number of hours be represented by h.
The equation will be:
(3 × 5) + (25 × h) = 115
15+ 25h = 115
It should be noted that 15 represents the cost of jackets
Therefore, the equation that can be written to represent this situation is 15 + 25h = 115.
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The Christensen family's kitten weighs 147
ounces. Write the weight of the kitten in pounds
and ounces.
The weight of Christensen's family's kitten is 9 pounds 3 ounces.
The imperial unit of mass or weight measurement is the pound. The symbols for pounds are lb and lbm. A kilogram weighs 0.4535 pounds. The term "pound" has Germanic roots.
In the conventional system of measurement, a pound is a unit of weight. 16 ounces make up one pound.
Therefore,
We know that 1 pound = 16 ounces
16 ounces = 1 pound
Dividing each side by 16.
( 16 / 16) ounces = ( 1/16 ) pound
1 ounce = ( 1/16 ) pound
Multiplying each side by 147,
1 ounce × 147 = ( 1/16 ) × 147 pound
147 ounces = ( 147 / 16 ) pounds
147 ounces = 9.1875 pounds
147 ounces = 9 + 0.1875 pounds
147 ounces = 9 pounds 3 ounces
The weight of the kitten is 9 pounds 3 ounces.
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Which line is perpendicular to 3 x+2 y=6 ?
(A) 4x - 6y = 3
(B) y = -(3/2)x + 4
(C) 2x + 3y = 12
(D) y = (3/2)x+1
The equation of the line 3x + 2y = 6 is perpendicular with the equation of the line (A) 4x - 6y = 3.
Two lines are perpendicular with each other if they form right angle at the point of their intersection. The slopes of perpendicular lines are negative reciprocal of one another.
The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.
In an equation in standard form, ax + by = c, the slope, m, of the line is equal to a/b. On the other hand, in an equation in slope-intercept form, y = mx + b, m is the slope.
Determine the slope of the given line and each given choices:
3x + 2y = 6
m = a/b = 3/2
(A) 4x - 6y = 3
m = a/b = 4/-6 = -2/3
(B) y = -(3/2)x + 4
m = -3/2
(C) 2x + 3y = 12
m = a/b = 2/3
(D) y = (3/2)x + 1
m = 3/2
Since the slope of the given line is 3/2, taking its negative reciprocal, the slope of the perpendicular line should be -2/3. The line with the slope of -2/3 is (A) 4x - 6y = 3.
Hence, (A) 4x - 6y = 3 is perpendicular with 3x + 2y = 6.
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tengo 18 monedas unas de 1 euro y otras de 20 centimos.Cuantas monedas tengo si suman un total de 13,2 euros?
6 of 20 cents there if they add up to a total of 13.2 euros.
The area of mathematics known as discrete mathematics deals with objects that can only take into account individual, unique values. The basic ideas of Sets, Relations, and Functions, Mathematical Logic, Group Theory, Counting Theory, Probability, Mathematical Induction, and Recurrence Relations, as well as Graph Theory, Trees, and Boolean Algebra are covered in this course.
X=coins t 1 euro
18-x coins 20 cents
X+0,20*(18-x)= 13,2
X+3,6- 0,20x= 13,2
0,8x=96
X=9,6/0,8= 12 coins 1-euro
18-12=6 coins 20 cents
Hence, 6 of the 20 cents here add up to a total of 13.2 euros.
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