15 + 25 = 40
10% of 40 = 4
Therefore, Caleb gave $4 to the church!
Hope this helps :D
Find out the answer to 4x+12=63
Answer:
The answer to this question is x= 51/4
Jim received a gift card of $70 for a pizza restaurant the restaurant charges $20 for pizza Ciara received a gift card of $60 for different pizza restaurant the restaurant charges $15 per pizza write an equation to show when the two cards would have the same amount of money left on them
Answer: 70-20x = 60-15x, where x is the number of pizzas purchased.
Step-by-step explanation:
(TLDR, the solution to the given equation is that the cards will have the same amount of money left on them if both jim and clara buy two pizzas each. feel free read my explanation on how to write equations like this in the future, should you need it.)
so, we know that since jim and clara received $70 and $60 gift cards (respectively), these numbers are called constants, because their original values do not depend on anything (they are given). while these numbers may decrease with the amount of pizzas bought, their original values are fixed.
now, the price for one pizza at jim's pizza restaurant is $20, right? so if you buy 2 pizzas, it'll be $40, 3 pizzas are $60, and so on. but we can actually represent the price of the pizzas as 20x (where x is the number of purchased pizzas, and 20 is the price of one pizza), and this expression works for any number of pizzas you buy. you can also apply this to clara's restaurant, as the total price of the number of pizzas she buys is represented by 15x.
the words charges and left in this problem tells you that you're going to need to subtract from the total amount of money on the gift cards. using the expressions above, the amount of money jim has left on his card can be expressed as 70 (amount of money on the card) MINUS 20x (number of money spent on however many pizzas were bought (x)). likewise, the amount of money left on clara's card after she buys however many pizzas can be represented as 60-15x. you can then set the equations equal to each other and solve for x, which tells you how many pizzas they each need to buy to have the same number of $$ left on their cards.
70-20x = 60-15x
10=5x
2=x. hope this helped :3
12. Which set of ordered pairs below is a function?
Answer:D. 1 and 2
Step-by-step explanation:
Domain cannot repeat
last month greg arrived late to work 3 out of 21 days his boss used this information to determine the probability of greg being late again. which pair of probabilites is correct
The probability of Greg being late again, along with the type of probability, is given as follows:
1/7, experimental probability.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
In the context of this problem, the outcomes are given as follows:
Desired: Greg being late, 3 times.Total outcomes: 21 times that Greg went to work.The probability of Greg being late is then calculated as follows:
3/21 = 1/7.
Which is an experimental probability, as the number of outcomes are taken from previous "experiments".
The other type of probability is theoretical, for example, a fair coin has a 50% chance of falling heads and 50% change of falling tails.
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What is the formula for directed line segment?
The formula for a directed line segment is A = (x2 - x1, y2 - y1). It is a vector equation, meaning that it describes the direction and magnitude of a line segment, rather than its endpoint coordinates.
A directed line segment is a line segment with a starting point and an ending point, where the direction of the line can be described in terms of its magnitude and direction. To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points, and then calculate the difference between the y-coordinates of the start and end points. The result is the vector A, which describes the magnitude and direction of the line segment.
For example, consider a line segment with start point (1, 2) and end point (4, 6). To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points (4 - 1 = 3). Then, calculate the difference between the y-coordinates of the start and end points (6 - 2 = 4). The result is the vector A = (3, 4). This vector describes the magnitude and direction of the line segment, with the magnitude being the length of the line segment, and the direction being the direction from the start point to the end point.
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please help me out will give brainliest
Answer:
Step-by-step explanation:
Lena decides to make 1 batch of mac-and-cheese
and 3 pizzas. How many tablespoons of basil does
she need?
On solving the provided question, we can say that - equation at factors x= -3 that value of a is = 33
What is factor?A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.
4x^2 + 5x - 8
x = -3
36 + 15 -8
33
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25PTS don’t explain
Answer:
y = 2x+ 3
Step-by-step explanation:
what is the next operation that should be done when evaluating this expression?
9-12+-2+3(-3)
a) 3(-3)=-9
b)-2+3=1
and if you dont mind showing how you did it so i can learn it thanks!
The next operation that should be done when evaluating this expression 9-12+-2+3(-3) is A. 3(-3)=-9
How to calculate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
In this case, it should be noted that the expression given is written as 9-12+-2+3(-3). In PEDMAS, the first operation is parentheses. Therefore, the number on parentheses will be solved first.
In this case, the number in parentheses will be 3(-3). Therefore, the correct option is A.
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Factorize 4x squared - 25y squared
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
here we go~
[tex]\qquad \sf \dashrightarrow \: 4x {}^{2} - 25y {}^{2} [/tex]
[ identity : a² - b² = (a + b)(a - b) ]
[tex]\qquad \sf \dashrightarrow \: (2x) {}^{2} - (5y) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: (2x + 5y)(2x - 5y)[/tex]
Compute the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4.
The smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.
To compute this, first convert 5 to binary and base-4:
5 in binary: 101
5 in base-4: 11
Since 11 is the same in both bases, the next number that would be a palindrome in both bases is 11.
To find the base 10 number of this palindrome, we convert 11 from binary and base-4 to base 10:
11 in binary: 1011
11 in base-4: 111
Therefore, the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.
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F(x)=2(x-3)squared it’s graphing and I forgot how to solve it
The solution of the function f(x) = 2(x - 3)² is at x = 3 as shown in the graph.
What is an equation?An equation is used to show the relationship between numbers and variables.
Polynomial can be classified based on degree as linear, quadratic, cubic.
Given the function:
f(x) = 2(x - 3)²
The graph of f(x) is plotted. The solution of the graph can be gotten from its x intercept. Hence the solution is at x = 3
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How do you convert log to the base e to log to the base 10?
To convert the log base 2 to log base 10, we can use the change of base formula for logarithms. The change of base formula for logarithms is as written:
log b(x)=logc(x) logc(b)
By Using this formula, we can convert or find log base 2 to log base 10, where log base 10 is called the common logarithm, and we denote log10 (x) as log(x). The change of base formula gives the following:
log2(x)=log10(x)log10(2)=log(x)log(2)
This gives us the formula we can use to convert a logarithm with base 2 to a common logarithm with base 10.
The log function of e to the base 10 is denoted as “log 10 e”. Where the value of e is 2.7182818. The natural log function of e is denoted as “log e e”.
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Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)Which of the following relations is a function? A. (-2, -2), (-6, -5), (2, 8), (2, 2) B. (-6, 2), (-2, 3), (2, 7), (6, 2) C. (6, -10), (-6, 7), (6, 6), (-6, 12) D. (-6, 0), (-2, 5), (-6, -3), (2, 9)
The correct relation which shows the function is,
⇒ (-6, 2), (-2, 3), (2, 7), (6, 2)
Option B is true.
What is Function?A relation between a set of inputs having one output each is called a function.
Now, We know that;
Function is a relation between a set of inputs having one output each.
So, By given options;
A. (-2, -2), (-6, -5), (2, 8), (2, 2)
Here, Two value of outputs 8, 2 have same input 2.
So, This is not a function.
B. (-6, 2), (-2, 3), (2, 7), (6, 2)
Here, A set of inputs having one output each.
So, This is function.
C. (6, -10), (-6, 7), (6, 6), (-6, 12)
Here, Two value of outputs - 10, 6 have same input 6.
So, This is not a function.
D. (-6, 0), (-2, 5), (-6, -3), (2, 9)
Here, Two value of outputs 0, -3 have same input -6.
So, This is not a function.
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Find y for 0.5y-2 2/5=1/2y+2.4
To solve this equation for y, you can follow these steps:
First, get all the terms with y on one side of the equation and all the other terms on the other side. To do this, you can add 2/5 to both sides to get rid of the 2/5 on the left side:
0.5y - 2 2/5 + 2/5 = 1/2y + 2.4 + 2/5
Simplify the left side of the equation:
0.5y - 2 + 2/5 = 1/2y + 2.4 + 2/5
0.5y - 2 + 2/5 + 2/5 = 1/2y + 2.4 + 2/5 + 2/5
0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5
Combine like terms on each side:
(0.5y + 4/5) - 2 = (1/2y + 2.4) + 4/5
Simplify:
0.5y + 4/5 - 2 = 1/2y + 2.4 + 4/5
0.5y - 2 + 4/5 = 1/2y + 2.4 + 4/5
Combine like terms on each side:
(0.5y + 4/5) = (1/2y + 2.4) + 4/5
Simplify:
0.5y + 4/5 = 1/2y + 2.4 + 4/5
Combine like terms on each side:
0.5y = 1/2y + 2.4
Subtract 1/2y from both sides:
0.5y - 1/2y = 1/2y - 1/2y + 2.4
0 = 2.4
Solve for y:
0 = 2.4
This equation has no solution, so there is no value of y that satisfies the given equation.
Answer:
Step-by-step explanation:nosoulution
Simplify:- 3/11of(1/3+5/9)÷9/15
Answer:
=3/11 of (1×3+5/9)÷9/15
=3/11 of (8/9)÷9/15
=3/11 of 8/9÷9/15
=8/33÷9/15
=8/33×15/9
=40/99
*mark me brainliest
In a certain city, the mean household annual income is $45,000 with a standard deviation of $6,000.
Suppose a certain household has an annual income with a z-score of 1.5. What is their annual income?
The annual income of a certain household that has a z-score of 1.5, is 80,000.
What is z-score?The relationship between a value and a group of values' mean is described statistically by the Z-score. Standard deviations from the mean serve as the unit of measurement for Z-score. The score for a data point is equal to the mean score if the Z-score is 0. A value that deviates by one standard deviation from the mean is indicated by a Z-score of 1.0.
Z-scores can either be positive or negative, with a positive value indicating that the score is above the mean and a negative value indicating that the score is below the mean. Z-scores are measurements of an instrument's variability used in investing and trading that traders can use to estimate volatility.
Let the annual income be x.
x has μ = 50000, σ = 20000
We know that for given x, z = (x−μ)/σ
Given that z - score = 1.5
Substituting the values we get
⇒ 1.5 = (x−50000)/20000
⇒ 1.5 × 20000 = x−50000
⇒ 30000 = x − 50000
⇒ x = 30000 + 50000
⇒ x = 80,000
Thus, The annual income of a certain household that has a z-score of 1.5, is 80,000.
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Which relationships describe the angle pair x° and 157º? Select each correct answer. Complementary angles vertical angles supplementary angles adjacent angles Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, the sum of any two angles on a straight line equals 180°.
what is angle ?Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. Two rays (half-lines) combined into an angle have a single terminal. The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. The vertex of an angle is the point at which all points meet .
given
If two angles' sums are same, they are said to be supplementary.
If two angles' sums are same, they are said to be complimentary.
Each set of opposite angles generated by crossing lines are referred to as vertical angles. The term "adjacent angles" refers to two angles that share a common vertex and side but do not overlap.
Angles x° and 157° are neighboring because they share a shared vertex and side, preventing them from overlapping, and they are supplementary angles because the sum of any two angles on a straight line equals 180°.
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find the area of the rectangle whose lengths 16cm and breadth is 8cm
Answer: Breadth? Did you mean width? If so, the answer is 128cm
Step-by-step explanation:
Area = Width x Length
8x16=128
i’m not sure how to find the slope of the lines
Answer:
Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).
Label them as A and B (in any order).
Calculate the "rise" from A to B. While going vertically from A to B, if we have to go
"up", then the rise is positive;
"down", then the rise is negative.
Calculate the "run" from A to B. While going horizontally from A to B, if we have to go
"right", then the run is positive;
"left", then the run is negative.
Now, use the formula: slope = rise/run.
What is the degree of polynomial 5x³ 4x² 7x?
The degree of the polynomial [tex]5x^{3} + 4x^{2} + 7x[/tex] is 3 , that means it is a third degree polynomial called as cubic polynomial .
What is Degree Of Polynomial ?
The degree of the polynomial is defined as the highest power of the polynomial expression. But, if the polynomial has multiple variables, the degree of polynomial can be found by adding the powers of the different variables in the polynomial expression.
For Example : the degree of polynomial ⇒ [tex]9x^{2} + 7x + 2[/tex] is 2 .
The polynomial is given as : [tex]5x^{3} + 4x^{2} + 7x[/tex] , we have to find the degree ,
So , we can see that the the term having the highest power of the given polynomial is [tex]5x^{3}[/tex] , and the degree is 3 .
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Which expression can be used to determine the total weight of a box that by itself weighs 0. 3 kilogram and contains p plaques that weigh 3. 2 kilograms each?
The expression is t = 0.3 + 3.2p, where t is the box's overall weight and p is the number of plaques it contains.
Let's review the data given to us to properly respond to the question:
Weight of a box by itself = 0.3 kg
Weight of a plaque = 3.2 kg
The expression can be used to determine the total weight of the box :
We shall use the following phrase to respond to the query:
Total weight of the box in kg = t
Number of plaques inside the box = p
Hence, the expression t = 0.3 + 3.2p
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Which of the following calculations could be used to find the value of x? xº 18ft 7ft
A. sin‐1 7/18
B. sin-1 18/7
C. cos-1 7/18
D. cos-1 18/7
(need this by today)
Using trigonometric ratios, the value of x is as follows:
x = sin⁻¹ 7 / 18How to find the angle of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the angle of a right angle triangle can be found using trigonometric ratios as follows:
Hence, let's find angle x
Therefore,
sin x = opposite / hypotenuse
opposite side = 7 ft
hypotenuse side = 18 ft
Hence,
sin x = 7 / 18
x = sin⁻¹ 7 / 18
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Quadrilateral ABCD below is reflected about line m. After the reflection, how is the perimeter of A'B'C'D' related to the perimeter of ABCD?
Quadrilateral ABCD below is rotated 180°. After the rotation, how is the area of A'B'C'D' related to the area of ABCD?
Reflection and rotation will not alter the perimeter of the quadrilateral
What is transformation?
Transformation is a term used in mathematics to refer to the movements made by objects.
Transformations has basically classifications
non rigid transformationRigid transformationNon rigid transformation are the transformation where the dimension or size of the object will be different going from preimage to the image, example is dilation
In rigid transformation, the dimensions of the object is maintained or not altered through out the transformation process. instance of rigid transformations are
rotationreflectiontranslationBecause the transformation used are all rigid transformations then all the sides will remain same and the perimeter conserved
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The circumference of a circle is C centimeters. The diameter of the circle is 13 centimeters.
Which expression best represents the value of pi?
A. C/6. 5
B. 6. 5/C
C. C/13
D. 13/C
The diameter of the circle C/13
The formula provides the circumference of a circle.
The circumference of any shape in mathematics designates the path or limit that surrounds the shape. In other words, the circumference, sometimes referred to as the perimeter, aids in figuring out how long the contour of a shape is. The size and perimeter of a circle are, as we all know, its two most important properties.
C = pi * d, where d is the diameter and c is the circumference.
C = pi * 13 gives the diameter as 13.
Subtract 13 from each side, C/13 = d.
Dimensions are C/13.
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What is the length of the hypotenuse of a 45 45 90 triangle if the length of the leg is 5?
The length of the hypotenuse will be 5√2 = 7.07
The triangle specified in the question is right-angled, one angle is mentioned to be 90°. It is also an isosceles triangle since both other angles are equal. if both angles are equal, both sides will also be equal.
So the length of both equal sides = 5 cm
Pythagoras' theorem tells us about the relationship between the three sides of a right-angled triangle. It states that the square of the hypotenuse of the right-angled triangle will be equal to the sum of squares of the other two sides. If a, b, and c are the sides
c² = a²+ b²
c = √(a²+b²)
According to Pythagoras' theorem, Hypotenuse = √base²+ alt²
Hypotenuse = √5²+5²
= 5√2
= 7.07 cm
So the length of the hypotenuse is 5√2 = 7.07 cm.
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Dariu ha a 40-ounce port drink. He drink 18 ounce. Enter the percentage of ounce Dariu ha left of hi port drink
The percentage of ounce Dariu has left of his port drink is 55%.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
It is given that Dariu ha a 40-ounce port drink.
He drank 18-ounce port drink.
First calculate what percentage of port drink Dariu drank.
The equation is -
= (18/40) × 100
= 45%
So, Dariu drank 45% of the port Drink.
Now, subtract the percentage Dariu drank from the 100% (40 Ounce) drink Dariu had -
100 - 45 = 55
Therefore, Dariu has 55% drink left.
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Frank has constructed a tent in the shape of a square pyramid.
The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge. The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.
The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = |d − | +. The height of the tent is 22. 5 feet at a horizontal distance of feet
The equation that models the height of the tent, h, in feet, with respect to the horizontal distance in feet from the left edge, d, is h = 1.5 d + h0.
The height of the tent is 22. 5 feet at a horizontal distance of 15 feet.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The height of the tent varies at a rate of 1. 5 feet with the horizontal distance from the left edge.
This can be written as -
h = 1.5 d, where d is the distance.
So, the equations that models the situation is -
h = 1.5 d + h0
The peak of the tent is at 30 feet and is at a horizontal distance of 20 feet from the left edge.
So, when d =20, then h =30.
Plugging the values in the equation -
30 = 1.5 (20) + h0
30 = 30 + h0
h0 = 0
The height of the tent is 22. 5 feet.
So, now h = 1.5 d and h = 22.5.
Equating these two -
22.5 = 1.5 d
d = 22.5/1.5
d = 15
Therefore, the distance value is obtained as 15 feet.
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Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m
Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m. Select the double number line that correctly labels is option 'A'.
What do you meant by hiking?From brief half-day programs to extensive itineraries lasting more than 20 days, the activity's duration varies. The majority of the time, it is an activity that accepts groups of various sizes.
A long stroll, especially one undertaken for the sake of recreation or exercise; see also hike; an increase, particularly in quantity or amount. While it is entirely up to each hiker to assign whatever classification they see fit to their experience, I have found that the vast majority of hikers fall into one of the three most common categories: peak-bagging, long-distance hiking, or day hiking.
Because it is a constant slope and Cory hikes 3 km his elevation is 120 m.
slpoe = 120m/3km = 40m/1km
So, Cory's elevation after he hikes 1 km, his elevation is 40 m.
Cory's elevation after he hikes 2 km, his elevation is (2*40 m) 80 m.
Cory's elevation after he hikes 4 km, his elevation is (4*40 m) 160 m.
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The complete question is:
Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 km his elevation is 120m. Select the double number line that correctly labels Cory's elevation after he hikes 1, 2, and 4 km. Choose 1 answer:
Solve the formula V = πr²h for r.
Answer:
v=πr²h
divide both sides by πh
v/πh=r²
r²=v/πh
square root both sides
r=√v/√πh
I hope this helps