Cheri collected 145 number of 5 peso coin and 156 number of 10 peso coin during her family's annual outreach
What is an equation?An equation is used to show the relationship between numbers and variables.
Let x represent the number of 5 peso coins and y represent the number of 10 peso coin
At the end of the year, she has saved a total of Php 2285, hence:
5x + 10y = 2285 (1)
Also, she has 11 more 10 pesos than 5 peso coins, hence:
y = x + 11 (2)
Solving both equations using elimination method gives:
x = 145, y = 156
Cheri had 145 number of 5 peso coin and 156 number of 10 peso coin.
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How do you know if 3 lengths will make a triangle?
If three lengths can make a triangle by using the Triangle Inequality Theorem which states . that any two triangle sides added together must exceed the third side If the sum of any two sides is equal to or less than the third side, then the lengths cannot make a triangle.
The Triangle Inequality Theorem can be used to determine if a triangle can be formed from three lengths. According to this theorem, any two triangle sides must add up to more than the third side. To put it to use, add up the lengths of the first two sides and compare them to the third side's length. The lengths cannot form a triangle if the total of the first two sides is more than or equal to the third side. The lengths can form a triangle if the product of the first two sides is bigger than the product of the third side.
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
1/2
Step-by-step explanation:
-3x+5x-2>-4x+1
first, you will combine like terms. -3x+5x=2x.
2x-2>-4x+1
you need to move the variable to one side. So you will add 4x on both sides.
6x-2>1
You need to add 2.
6x>3.
Now you will divide both sides by 6 to get x by itself.
x> .5 or 1/2
pls barinliest
Tammy already has $565 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Let w represent the number of weeks.
Answer:
Since she already has $565, her goal is $665.
5 × 20 = 100
w = 20 weeks
Create a word problem for 4 x 8 = ?
and solve it using a bar model?
Answer:
Jackie has been assigned to hand out papers to all the students in her class. Each student gets 4 pieces of paper, and there are 8 total students. How many papers total does Jackie need to get?
(I cannot show a picture of a bar model, apologies)
Is there an AAA similarity?
The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that "If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or percentage) and consequently the two triangles are similar".
A triangle is a closed two-dimensional shape or polygon with the fewest sides in mathematics. A triangle is made up of three sides and three angles. The most significant attribute of a triangle is that the sum of its internal angles equals 180°.
Conditions for Triangle Similarity
If the corresponding angles of two triangles are identical, they are said to be comparable triangles.
If their respective sides have the same proportion/ratio.
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How do I find prime factorization?
Answer:
One way is to make a factor tree. She below for examples.
Step-by-step explanation:
Answer:
You basically just count jumps of that number
Select all the pairs of operations that have inverse relationships.
The pair of operations having an inverse relationship are,
Addition and Subtraction, Division and Multiplication.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Addition and subtraction are inverse operations of each other.
Suppose we have 5 and we add 3 to it we get 8.
Now, Subtracting 3 from 8 would result in 5.
Multiplication and division are inverse operations of each other.
Suppose we have 10 and we multiply 2 to it we get 20, Now if we divide 20 by 2 we get back 10 again.
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caleb earned 15 dollars on monday and 25 dollars on saturday when he raked his neighbors yard. on sunday he gave 10 percent in the offering at church. how much did he give away.
15 + 25 = 40
10% of 40 = 4
Therefore, Caleb gave $4 to the church!
Hope this helps :D
HELP!! Find the inverse of the matrix…
Answer:
the answer is b
Today in class, we did calculations with decimals. Reflect on how you made these calculations:
How did we compute products of dollar amounts that were not whole numbers?
For example, how would you compute the product of 3 student tickets at $4. 25 per ticket?
Use this example to explain your strategy.
As per the decimal number system, the cost of 25 tickets is $32.5
The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.
Here we have given that the product of 3 student tickets at $4.
Here we have know that the ticket cost for 3 students is $4.
Then the cost of one person is calculated by dividing the cost by the number of students then we get,
=> 4/3
=> 1.3
So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,
=> 25 x 1.3
=> 32.5
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A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?
Answer:
a. The total cost of fixing the drain is $198
b. The plumber spend 13 hours fixing the drain
Step-by-step explanation:
We know the equation is
C=25h+73
C = the total cost
h = the number of hours
Let's solve question a by putting 5 in for h
C=25(5)+73
C = 125 + 73
C = $198
So, the total cost of fixing the drain is $198
Let's solve question b by butting 398 in for c
398=25h+73
325 = 25h
h = 13 hours
So, the plumber spend 13 hours fixing the drain
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One angle of a triangle meaure 140°. The other two angle are in a ratio of 3:5. What are the meaure of thoe two angle
One angle of a triangle measure 140°. The other two angles are in a ratio of 3:5.The smaller angle would measure 84°, and the larger angle would measure 56°. This can be found through the use of basic trigonometry.
A triangle is a three-sided polygon with three angles that add up to 180°. Since one of the angles is already known, the remaining two angles can be calculated by subtracting 140° from 180°, which equals 40°. This 40° can then be divided by the ratio 3:5, which is 8° and 32°.
If 8° is the smaller angle, then 32° must be the larger angle. To convert 8° and 32° to the final answer of 84° and 56°, 8° must be multiplied by 10 and 32° must be multiplied by 5. This gives a total of 84° and 56° for the other two angles.
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One angle of a triangle measures 140°. The other two angles are in a ratio of 3:5. What are the measures of that two angles?
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, on Monday the baker makes 36 blueberry muffin what is the total number of muffins that the baker makes on Monday.
Answer:
90
Step-by-step explanation:
40% is for 36
(100*36)/40
a farm house has 11 animals some are goats and some are ducks there are 34 legs all together how many ducks and goats
There are 11 animals on a farm, some of which are goats, while others are ducks. The total number of legs on the ducks and goats is 34.
Explain about the Expression?An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.
In mathematics, an expression is referred to as an algebraic expression if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions are made up of multiple terms.
Functions, variables, and numbers make up an expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.
There are 11 animals, and they have a combined total of 34 legs.
Set G and D to the number of goats and ducks, respectively.
Consequently, G = 11 - D when G + D = 11, and vice versa.
therefore 4G + 2D = 34
Using the value as a stand-in for G, we obtain 4(11 - D) + 2D = 34.
By expanding, we have 34 - 44 - 4 + 2D.
The answer is D = 5. Thus, G equals 6.
Proof (5 x 2) plus (6 x 4) equals 34.
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The shelf life of a dairy product is normally distributed with a mean of 5 days and a standard deviation of 4 days. What is the probability that the product has a shelf life of at least 1 week and at most 2 weeks
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
What does the probability rule for products mean?This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.
How do you calculate a product's probability?P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
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What does =] mean in text?
It typically means that the person is being friendly and is in a good mood.The expression =] is often used as an emoticon to express friendliness, positivity, and happiness. It can be used as a stand-alone expression or as part of a longer sentence.
The expression =] is commonly used in text conversations as an emoticon to express friendliness, positivity, and happiness. It is typically used when a person wants to convey a feeling of warmth and good cheer. The expression can be used as a stand-alone expression or as part of a longer sentence. When used alone, it has a meaning similar to a smiley face and can be used to respond to a message in a positive way. When used as part of a longer sentence, it can be used to express a feeling of contentment. As an emoticon, it has no specific meaning, but it can be used to show that the person is in a positive and good mood. Using this expression can be a way to show that you are happy and in a friendly mood.
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Your friend has read 6 more than twice as many pages as your
sister has read. Let 4
be the number of pages that your sister has
read. Write an expression for the number of pages that your friend
has read
Answer:
Expression: 2s + 6
# of Pages Friend Read: 14 pages
Step-by-step explanation:
Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:
f = 2s + 6
That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:
f = 2 * 4 + 6
Multiplying gives:
f = 8 + 6 = 14
So your friend has read 14 pages.
Hope this helped!
Which ordered pairs are in the solution set of the system of linear inequalities?
y2-3x+2
y < 2x + 3
-6-5
-3-
(2. 2) (3. 1) (42)
The ordered pairs that are in the solution set of the system of linear inequalities are (2 ,2), (3 , 1) and (4 , 2).
What is system of equations?A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system.
Given the system of linear inequalities:
y > -3x + 2
y< 2x + 3
Substitute the value of x and y for each given ordered pair.
For (2, 2) x=2 and y =2:
y > -3x + 2
2 > -3(2) +2
2> -4 True.
y< 2x + 3
2 < 2(2) +3
2< 7 True
For (3, 1) x=3 and y=1:
1 > -3(3) + 2
1 > -7 True
y< 2x + 3
1 < 2(3) + 3
1< 9 True
For (4 , 2) x=4 and y =2
y > -3x + 2
2 > -3(4) +2
2 > -10 True.
y< 2x + 3
2 < 2(4) + 3
2 < 11 True.
Hence the ordered pairs (2 ,2), (3 , 1) and (4 , 2) are in the solution set of the system of linear inequalities.
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A bird flew from the ground onto a tree branch 5 feet above the ground.What could the bird do next that would make this situation a model of combining a number and its additive inverse
We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.
We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse
Additive inverse - What you add to a number to get zero is additive inverse.
The negative of a number.
Now we are told What could the bird do next that would make this situation a model of combining a number and its additive inverse
Since it already flew 5 feet above the ground .
Additive inverse of 5 feet is -5 feet
So, to make the situation of combining a number and its additive inverse
Bird has to flew 5 feet return to the ground i.e.-5 feet
So, a model of combining a number and its additive inverse = 5+(-5)
= 0.
Fly down 5 feet and return to the ground.
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Answer:
Fly down 5 feet and return to the ground.
Step-by-step explanation:
have a nice day.
The cost of 3 cheese sandwiches and 2 bottles of water is £7. 80. The cost of 5 cheese sandwiches and 4 bottles of water is £14. 20. What is the cost of: (a) one cheese sandwich? (b) one bottle of water?
One cheese sandwich costs $1.4 and one bottle of water costs $1.8.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.
3x+2y=7.8
5x+4y=14.2
(3x+2y=7.8)*2
6x+4y=15.6
5x+4y=14.2
x=$1.4
y=$1.8
The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.
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What is the length of the hypotenuse of a 45 45 90 triangle with a leg of 12?
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2
since the hypotenuse is one of the legs multiplied by √2.
dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:
By using the Pythagoras theorem, we have
a^2+b^2= c^2
Substituting the given values, we have
12/√2
Thus, the length of the hypotenuse will be
12/√2
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WILL GIVE BRAINLIEST PLEASE HELP
The following triangular prism has a base that is a right triangle.
A. Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net.
B. Use your net to calculate the surface area of the prism.
A. The net of a triangular prism is a flattened version of the prism that shows all the faces of the prism.
The prism's base is a right triangle with a base of 3 units and a height of 4 units. The prism is six units tall. The net of the triangular prism would look like a rectangle with a length of 3 units and a width of 4 units. On top of this rectangle, there would be two smaller triangles, each with a base of 3 units and a height of 6 units.
B. To calculate the surface area of the prism, we need to add the area of all the faces.
The base of the prism is a right triangle with an area of (1/2) (3 units) (4 units) = 6 square units.
The two triangular faces have an area of (1/2) (3 units) (6 units) = 9 square units each.
The rectangular face has an area of (3 units) (6 units) = 18 square units.
So, the total surface area of the prism is:
6 square units (base) + 9 square units (triangular face) + 9 square units (triangular face) + 18 square units (rectangular face) = 42 square units.
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Solve this problem
Step by step
The measure of the missing length of the trapezoid is equal to 3√39 units.
How to determine the missing length of a trapezoid
Trapezoids are quadrilaterals with only one pair of congruent sides and two pairs of congruent angles. The relationship between the longest and shortest legs (D, d) in a trapezoid is defined below:
D = d + 2 · c
Where c is the length of the horizontal leg of the right triangle in a trapezoid.
And the missing leg can be found by means of Pythagorean theorem:
x = √(r² - c²)
Where:
r - Hypotenusec - Shortest legx - Longest legFirst, determine the length of shortest leg: (D = 40, d = 26)
40 = 26 + 2 · c
14 = 2 · c
c = 7
Second, find the longest leg by Pythagorean theorem:
x = √(20² - 7²)
x = 3√39
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A pet store has 15 puppies, 6 kittens, and 8 hamsters. Alice, Bob, and Charlie each want to buy a pet. For variety, they each want a different kind of pet. How many ways can Alice, Bob, and Charlie buy pets and leave the store satisfied
There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.
How many different pet options can Alice, Bob, and Charlie choose from before feeling satisfied?Alice, Bob, and Charlie can leave the pet store satisfied in 12 different ways.This can be shown using a combination equation, where n = the number of items (in this case, pets) and r = the number of selections (in this case, 3): C(n,r) = n! / (r! × (n - r)!). In this equation, n = 29 (15 puppies + 6 kittens + 8 hamsters) and r = 3 because Alice, Bob, and Charlie each have to select one pet.When plugging these numbers into the equation, the result is C(29,3) = 29! / (3! × (29 - 3)!) = 29! / (3! × 26!) = 8649 / 514880 = 12 different ways. Alice, Bob, and Charlie can each select a puppy, a kitten, and a hamster and leave the store satisfied in 12 different ways.Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Step 1: Alice can buy a puppy, Bob can buy a kitten, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 2: Alice can buy a kitten, Bob can buy a hamster, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 3: Alice can buy a hamster, Bob can buy a puppy, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 4: Alice can buy a puppy, Bob can buy a hamster, and Charlie can buy a kitten. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 5: Alice can buy a kitten, Bob can buy a puppy, and Charlie can buy a hamster. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. Step 6: Alice can buy a hamster, Bob can buy a kitten, and Charlie can buy a puppy. This would leave the store with 14 puppies, 5 kittens, and 7 hamsters. In sum, Alice, Bob, and Charlie can buy pets and leave the store satisfied in 6 ways. Each person can buy a different kind of pet and the store will still have the same number of pets afterwards.To learn more about the combination theory refer to:
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If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
The value of x is 8.
What are supplementary angles?Angles are formed whenever two or more straight lines intersect. These angles produced thus have individual and some common properties of which some can add up to form complementary angles, or supplementary angles.
Two angles are said to be supplementary if the value of their sum add up to 180^o.
From the given question, we can deduce that;
m<1 + m<2 = 180^o (definition of complementary angles)
(17x - 30) + (7x + 18) = 180^o
17x - 30 + 7x + 18 = 180^o
24x - 12 = 180
24x = 180 + 12
24x = 192
x = 192/ 24
= 8
x = 8
The value of x is 8.
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Write two expressions for the perimeter of a square explain what information is in one of your expression that is not in the other
The expression for the perimeter of a square will be p = 4s.
How to calculate the perimeter?The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.
It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:
p = 4 × s.
p = 4s
where s = number of sides.
p = perimeter
For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:
= Value of sides × 4
= 2 × 4
= 8cm
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Helllllp please ????
The linear relation y = |2x - 5| is a function which has it's domain along (-∞, ∞) and it's range at [0, ∞)
What is a Linear RelationA linear relation is a relationship between two variables (x and y) in which the points, when plotted on a graph, form a straight line. This means that for a given change in the independent variable (x), there will be a corresponding, predictable change in the dependent variable (y).
In this given relation, we can graph the absolute function and determine it's range and domain.
Using a graphing calculator;
y = |2x - 5|
The x-intercept of the relation is 2.5 and it's y-intercept is 5
The domain of the relation is (-∞, ∞)
The range of the relation is [0, ∞)
The relation y = |2x 5| is a function which is known as an absolute function
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How do you solve a 5 =- 5a 5?
The value of a is zero.
Now, According to the question:
The given equation is:
a + 5 = -5a + 5
To solve the above equation:
Subtract 5 on both sides
a + 5 - 5 = -5a + 5 - 5
a = -5a
Add 5a on both sides:
6a = 0
Divide both sides by 6
a = 0
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The complete question is this:
How do you solve a + 5 = -5a + 5
What is the value 8?
The value 8 is a numerical value that represents the quantity of eight. It is the natural number following seven and preceding 9. It is an even number and can be written as the sum of two squares: 8 = 3^2 + 2^2 = 4^2. In binary, it is 1000.
Eight is in the first position and has a place value of 8. Understanding the place value of digits in numbers aids in number comparison. It also aids in the composition of numbers in their enlarged form. For example, the extended version of the previous number, 13,548, is 10,000 + 3,000 + 500 + 40 + 8.
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How do you find the length of the third leg of a triangle?
The third side of the triangle can be found out by using the Pythagoras theorem or the Heron's formula.
When there is a right angle triangle (A triangle whose on angle is of 90 degrees) then we use the Pythagoras theorem to find the third side.
The relation says that the sum of the square of the base and perpendicular is equal to the square of the hypotenuse.
In case of the scalene triangle the heron's formula is used to find out the value of the third side of the triangle.
There are several methods also present to find the value of the third side of the triangle.
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