The original cost of the item, given the cost to the store and the markup, can be found to be $ 200
How to find the original cost ?Given that the cost to the store is $ 160 and they would charge a 25 % markup on this cost, the original cost can be denoted as x and the formula would be:
x = Cost to store x ( 1 + markup percentage )
The original cost to the customer would then be:
= 160 x ( 1 + 25 %)
= 160 x 1 .25
= $ 200
The original cost charged by the store to the customer is $ 200.
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The question is:
Find the original cost that the store will charge to the customer. cost to store=$160 markup= 25%
4 divided by 6 as a fraction draw picture
Ernie can plow a field alone in four hours. It takes Sid five hours to plow the same field alone. If they work together (and each has a plow), how long will it take to plow the field?
The time that it will take to plow the field together is 2 2/9 hours.
How to calculate the value?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
Based on the information, this will be illustrated as:
1/4 + 1/5 = 1/t
where t = rate together
5/20 + 4/20 = 1/t
9 / 20 = 1 / t
9t = 20
Divide
t = 20 / 9
t = 2 2/9 hours.
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Find equation of the line that passes through the point a and point b
A=(1,7) B=(-3,-1
)
Answer:
Step-by-step explanation:
The equation of the line can be found using the two-point form:
y = mx + b
where m is the slope between the two points and b is the y-intercept.
For the given points A and B:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) is point A and (x2, y2) is point B
m = (-1 - 7) / (-3 - 1) = -8/ -4 = 2
Next, find b using one of the points and the slope:
b = y - mx
b = 7 - 2 * 1 = 5
So, the equation of the line is:
y = 2x + 5
Amanda joins a health club with a one time membership fee of $40 and $25 for each month. So far, Amanda has paid a total of $240. Find the number of months Amanda has been a member of the club.
Answer:
She has been there for 8 months
Step-by-step explanation:
Add 40 and keep adding $25
until you get to $240 and then count how many times you added 25 and you should get the answer
A mass of a basket with 60 apples was 3 1/5 kg. The mass of an identical basket
with 40 apples was 2 2/5 kg. What was the mass of the empty basket?
Give your answer as a fraction in its simplest form.
The weight of a basket containing 60 apples was 3 1/5 kg. An identical basket containing 40 apples weighed 2 and a half kilograms. It weighs 150 pounds.
Is an apple a gram or kilogram?The typical weight of an apple ranges from 150 g to 250 g. A 10 g error was discovered in the weight of each apple. The average weight of apples is calculated by dividing the total number of apples by the actual weight of the apples. Consequently, 10 apples actually weigh 62 g on average. As an apple is rather little, the measurement should be in grams.
Apples have a high fiber content. About 4 grams, or 17% of the Daily Value, of this vitamin may be found in a single medium-sized apple (100 grams) (DV). We divide the mass of the element in 1 mole of the compound by the compound's molar mass and multiply the result by 100 to determine the mass percent of the element in the compound.
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What is the solution to the system of equations?
The variable mappings that satisfy all component equations are the solutions of systems of equations, or the points where the components of these equations overlap.
what is equations ?Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.
given
The variable mappings that satisfy all component equations are the solutions of systems of equations
, or the points where the components of these equations overlap.
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2y−5x=−10? help me please
65 = x - 12 sdfgjkl;
Answer:
Step-by-step explanation:
Hi! To do this problem, you have to add 12 to both sides to get x by itself since you want to find what x equals. What you do is: x - 12 + 12 = 65 + 12. You would get x = 65 + 12. Find what 65 + 12 is and you will get your answer. I hope this helps!
f(x) has domain
✔ {–4, –2, 0, 2, 4}
, and range
✔ {–2, –1, 0, 1, 2}
.
The rule that maps each domain value to its range value is f(x) =
x.
Answer:
f(x) = 0.5x
Step-by-step explanation:
note that each of the values in the range is half its corresponding value in the domain
- 4 ÷ 2 = - 2
- 2 ÷ 2 = - 1
0 ÷ 2 = 0
2 ÷ 2 = 1
4 ÷ 2 = 2
then
f(x) = [tex]\frac{1}{2}[/tex] x = 0.5x
please help me with math i’ll give you brainlist!!
X intercept: 10/5 = 2
Y intercept: 10/-2 = -5
How find x intercept and y interceptThe x intercept is the point where the line crosses the x-axis and the y intercept is the point where the line crosses the y-axis.
To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.
In this question,
1. To find x intercept, set y = 0
5x - 2(0) = 10
5x = 10
x = 2
2. To find y intercept, set x = 0
5(0) - 2y = 10
-2y = 10
y = -5
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92 people had lunch in the cafeteria. 9 people had soup, a sandwich, and a drink. 33
people had soup, 45 had a sandwich, and 52 had a drink. 5 people had soup and a sandwich. 10 people had a sandwich and a drink. 5 people had soup and a drink. How many people had only a drink?
14 people
21 people
28 people
93 people
Answer:
28
Step-by-step explanation:
52 in toatal had a drink
10 had a drink and a sandwich
5 had drink and soup
9 had all
so in total out of the 52 drinks, 24 had a drink and something
52 - 24 = 28
The earth is approximately 93,000,000 miles from the sun how long does it take from the Sun to reach the earth use the speed of light to be 1.86×10^5 Miles per second
The light from the sun takes 8 minutes 20 seconds to reach the earth.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: The distance is 93,000,000 miles and the speed of light as 1.86×10⁵ miles per hour.
Now we know speed = Distance/ time
Thus we have Time taken = 93000000/1.86×10⁵
= 8 minutes 20 second (approx)
Hence, The light from the sun takes 8 minutes 20 seconds to reach the earth.
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Graph the solution of |2x-1|=3 on the number line.
The graph of the solutions of the absolute value equation can be seen on the image at the end.
How to graph the solution of the equation?Here we have the absolute value equation:
|2x - 1| = 3
We can "break" that absolute value equation into two simpler ones, we will get:
(2x - 1) = 3
(2x - 1) = -3
Now we can solve these two, we will get for the first one.
2x - 1 = 3
2x = 3 + 1
x = 4/2
x = 2
The other gives.
2x - 1 = -3
2x = -3 + 1
2x = -2
x = -2/2 = -1
The solutions are 2 and -1, then the graph is the one below.
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Three people swim a total of 2125 laps john swam 3 times more than rita and mathew swam 25 more than jhon how many laps did they each swim
Answer:
let x to be john
y to be Rita and z to be Mathews
Step-by-step explanation:
x+y+z=2125....,..........i
x=3y............................ii
y+25=z......................iii
from Qnii substitute in qn i
3y+y+z=2125
4y+z=2125
-y+z=25 by eliminate z
5y=2100 by 5 both sides
y=420
z=445
x=1260
Write a method that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14. Use Math.random() to generate random numbers.
This method must be called randomize() and it must take a Rectangle parameter.
You can call your method in the program's main method so you can test whether it works, but you must remove or comment out the main method before checking your code for a score. You will also need to make sure you do not remove the import statement "import testing.Math" as this is required to check your code for a score.
in java
The method for the rectangle is written in italic using Java as shown below
How to write a method in Java that takes a Rectangle as a parameter?Below is a method in Java that takes a Rectangle as a parameter, sets its length to a random, even integer between 10 and 20 inclusive, and sets its width to a random, odd integer greater than or equal to 7 and less than 14.
import java.awt.Rectangle;
public void setRandomDimensions(Rectangle rect) {
int length = (int) (Math.random() * 6) * 2 + 10; //generates a random even integer between 10 and 20
int width = (int) (Math.random() * 4) * 2 + 7 + 1; // generates a random odd integer between 7 and 13
rect.setLength(length);
rect.setWidth(width);
}
Note: The method uses the setLength() and setWidth() methods of the Rectangle class to set the length and width of the rectangle to the generated random numbers.
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ANSWER ASAP PLEASEEEEEE
i need help with this math question !
Therefore , the solution of the given problem of inequality comes out to be x=-3 or x<-3.
Define inequality.In mathematics, an inequality is a linking of two equations or numbers when there isn't an equal sign. Unbalance therefore precedes inequity. When two numerical values are not equal, an inequality results in a relationship between them. Egality and inequality are not the same. Where variables are not similar or equal, have used the most common symbol (). There are various inequalities that can be utilized to contrast values regardless of how small or huge they are. Switching the two sides it until variables represent all that is left can address a variety of basic inequality problems. The combination or division with low values from both sides are only a few examples of the many factors that might cause inequality. You switch sides and the left.
Here,
Given : -3x ≤ 9
=> x ≤ 9/-3
=>x ≤ -3
Thus , x=-3 or x<-3
Therefore , the solution of the given problem of inequality comes out to be x=-3 or x<-3.
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A kindergarten class has 24 children. The teacher wants them to get into 4 equal groups. How many children will be put in each group?
The number of children in each group is 6.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
A kindergarten class has 24 children.
The teacher wants them to get into 4 equal groups.
That means,
the number of the children in a group,
= total number of children / number of groups
= 24 / 4
= 6
Therefore, the number of children in a group is 6.
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Solve if x=11. X+44/2×=
How do you resolve this
Answer:
33
Step-by-step explanation:
11+44/2=11+22=33
A carpenter installing cabinets uses thin pieces of material called shims to fill gaps. The carpenter uses four shims to fill gap that is 1.5 centimeters wide. The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter. What is the width of the fourth shim
The width of the fourth shim used by a carpenter is, 0.525 centimeter.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The carpenter uses four shims to fill gap that is 1.5 centimeters wide.
And, The width of three of the shims are 0.75 centimeter, 0.125 centimeter, and 0.1 centimeter.
Now, Let the width of the fourth shim used by a carpenter = x
So, We can formulate;
⇒ x + 0.75 + 0.125 + 0.1 = 1.5
⇒ x + 0.975 = 1.5
⇒ x = 1.5 - 0.975
⇒ x = 0.525 centimeter
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How much is 5/9 of -3/5
Answer: -0.333 repeating
Step-by-step explanation:
5/9 x -3/5 = -0.3 repeating decimal
Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)
Figure A is a scale image of figure B.
Figure A maps to figure B with a scale factor of [tex]2/7[/tex]
The value if side x is 42
How are scale drawings formed?For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
Given;
Scale factor= 12
Now, to find the value of x;
We will divide 12 by the scale factor
=12/(2/7)
=(12x7)/2
=42
Therefore, with scale factor 2/7 the side x of figure A will be 42
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Meg has 10 feet of ribbon that she wants to divide into of foot pieces. How many foot pieces are there in 10 feet?
Answer:
20
Step-by-step explanation:
A person has 2 feet (1 is a foot)
Meg has 10 feet of ribbon
therefore 10 × 2 = 20
in 10 feet there are 20 "foot"
Solve for x.
x2.5<10
x
Answer:
[tex]-2\sqrt{5} < x < 2\sqrt{5}[/tex]
Step-by-step explanation:
Sue and Pam are sisters, but they live far from each other. They both
want a garden at their respective homes, and they decide they want to
build identical flower gardens that are in the shape of a triangle.
They spend a lot of time emailing and talking on the phone, trying to
figure out how to make these triangular gardens exactly the same.
• Sue suggests that they each make their gardens with brick walls
outlining the gardens, and they should make sure all three angles
of the two triangles are the same: 30, 60, and 90. Sue asserts
that this will make their gardens congruent.
Pam likes the idea of the wall, but instead she thinks that they
should make their triangles equal by making one wall 7 feet long
with a 30 angle attached to it. Sue says the other two walls
will match up to make a triangle, and that their triangles will
be equal.
The two women can't agree on the best method. They hire you to help
them with the design.
Determine if either of their methods will create congruent
triangular gardens. Use your congruent triangle theorems, like
SSS, ASA, SAS, to decide.
If you don't think that a method will work, you must explain why
the method will not work.
How do you think Sue and Pam should create congruent triangular
gardens?
On solving the provided question we can say that so SAS, the are congruent triangles
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
we have to triangles
with angles as 30,60,90 and 60,60,90 respectively
and 2 sides of 7 cm each.
so SAS, the are congruent triangles
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(Look at picture) ty btw :)!!!!! <3
By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.
what is expression ?Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression Numbers, variables, and functions make constitute a mathematical expression. It is possible to contrast phrases and expressions. the practice of expressing one's opinions or demonstrating one's feelings by words or deeds: As a sign of his affection, he penned her a poem.
given
y^3/4 / y^1/2
= y^3/4 y^ -1/2
y ^( 3/4 - 1/2)
y^(-1/4)
By virtue of the characteristics of integer exponents, y^(-1/4) is a radical exponent. It is possible to contrast phrases and expressions.
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who needs special prayer
Answer: ok
Step-by-step explanation: :D
A
Bob discovers gold in the hills, and suddenly the area is full of people mining for gold. What impact might this have on the land of the
region?
B
7th Grade Geography (CoS) / Physical Sy
[G.11] Natural Resources 3-Strategic Thinki:
The farms will increase production immediately in order to feed all the people.
Sh
The land will be significantly changed as people dig mines, clear land, and use up natural resources.
C
Air pollution will increase as equipment is used to make the gold mines more efficient.
D The water supply will decrease as more people use it to bathe.
4 of 25
11:37
E
E
C
F
Next
Answer: Gold mining can contaminate drinking water and destroy pristine environments, endangering the health of people and ecosystems.
Thus the answer is d
Step-by-step explanation:
is f(x)=3/7+7x^2 polynomial
You must first formulate a polynomial equation in standard form before you can solve it. Factor it, then set the values of each variable factor to zero after it reaches zero.
How do you calculate a polynomial?The original equations' answers are the answers to the derived equations. Factoring cannot be used to resolve all polynomial equations.
The sum of terms with the pattern kxn, where k is any number and n is a positive integer, is what we call a polynomial.
It is impossible to classify an expression as a polynomial if it contains a variable with exponents that are negative or fractional, divides by a variable, or is included inside a radical.
Solving Equations : f(x)=3/7+7x^2
Domain of 3/7 + 7x²
Solution : -∝ < x <∝
Interval Notation : ( - ∝,∝)
Rage of 3 / 7+ 7x²
Solution : 0 < f(x) ≤ 3/7
Interval Notation : ( 0 , 3/7)
Axis interception Points of (3 / 7+7x²;
Y Intercepts : (0,3/7)
Asymptotes of 3 / 7 + 7x² ;
Horizontal : y = 0
Extremes Points of 3 / 7 - 7x²;
Maximum(0 , 3 / 7).
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An Uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip find the rate of the cost per mile
The cost per mile for both trips are $4.5 and $3.65
How to calculate the cost per mile ?An uber ride costs $13.15 for a 3 mile trip and $18.25 for a 5 mile trip
The cost per mile for both trips can be calculated as follows
The first step is to calculate the cost of mile for the First trip
13.15= 3
x= 1
cross multiply both sides
3x= 13.15
x= 13.15/3
x= 4.5
The next step is to calculate the cost of mile for the Second trip
18.25= 5
y= 1
cross multiply both sides
5y= 18.25
y= 18.25/5
y= 3.65
Hence the cost per mile for both trips are $4.5 and $3.65
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