Answer:
2:5
Step-by-step explanation:
8:20 divided by 4 on bothe sides would equal 2:5
Equivalent ratios to 8:20 can be found by simplifying this ratio to its lowest terms, which is 2:5, and then scaling these numbers up or down by the same factor. Examples of equivalent ratios to 8:20 include 2:5, 4:10, 6:15, 8:20, and 10:25.
Explanation:The question is asking for ratios equivalent to the ratio 8:20. To find equivalent ratios, we need to either multiply or divide both numbers in the ratio by the same amount. Ratios are a method of comparing quantities and numbers.
Let's start by simplifying the ratio 8:20 to its simplest form. To do this, we find the greatest common divisor of 8 and 20 which is 4. Then, divide both numbers by 4. This simplifies the ratio to 2:5.
Now that we have the simplified form of the ratio, we can find equivalent ratios by simply multiplying or dividing these numbers by any other number. For instance, multiplying by 2, we get the ratio 4:10. This is an equivalent ratio to 8:20 because the relationship between the numbers remains the same.
Here are some other equivalent ratios to 8:20: 6:15, because 2 x 3 = 6 and 5 x 3 = 15; 8:20, because 2 x 4 = 8 and 5 x 4 = 20; and 10:25, because 2 x 5 = 10 and 5 x 5 = 25.
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find the total cost to the nearest cent. $140 bicycle; 7% sales tax
Answer:140.07
Step-by-step explanation:
Answer:
$149.80
Step-by-step explanation:
To find sales tax you need to multiply the original cost of the item by the sales tax (converted into a decimal). In this case the sales tax converted would be 0.07. Now multiply that decimal by the original cost:
140 x 0.07 = 9.80
9.80 is how much you would be paying in sales tax. Now take this amount and add it to the original amount to get the total cost.
140 + 9.80 = 149.80
Drag each tile to the correct box. Not all tiles will be used. The area (A) of a circle with a radius of r is given by the formula and its diameter (d) is given by . Arrange the equations in the correct sequence to rewrite the formula for diameter in terms of the area of the circle.
Answer:
Hello my friend! The answer is in the picture below
Step-by-step explanation:
To rewrite the formula for diameter (d) in terms of the area (A) of the circle, you can use the following sequence:
1. A = [tex]pi * (d/2)^2[/tex]
2. [tex]d^2[/tex] = (2A)/pi
3. d = [tex]sqrt((2A)/pi)[/tex]
The question requires arranging the given equations to express the diameter of the circle in terms of its area. Let's proceed step by step:
Start with the formula for the area of a circle: A = pi * r^2, where 'r' is the radius of the circle.
Recall the relationship between diameter and radius: d = 2 * r.
Substitute radius 'r' with diameter 'd' in the area formula: This results in A = [tex]pi * (d/2)^2[/tex].
Solve this equation for diameter 'd': You'll get d = [tex]sqrt((4 * A)/pi)[/tex].
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What is the value of the expression 1.5(x + 4) - 3 = 4.5(x - 2)?
A. 3
B. 4
C. 5
D. 9
HELP PLEASE NEED IT RIGHT NOW!!!!
Answer:
obtuse, scalene
Step-by-step explanation:
1 obtuse angle makes the triangle obtuse all sides are different so it would be a scalene triangle
Five times a number minus seven.
5x-7
x would be the unknown number. for example if it were 3 you would multiply 3 and 5 to get 15 then minus 7 to get 8.
Three hundred and eighty -two tenthousandths
Answer:
382000
Step-by-step explanation:
On a coordinate plane, triangle X Y Z is shown. Point X is at (1, 3), point Y is at (4, negative 1), and point Z is at (5, 6).
Which statement proves that △XYZ is an isosceles right triangle?
XZ ⊥ XY
XZ = XY = 5
The slope of XZ is Three-fourths, the slope of XY is Negative four-thirds, and XZ = XY = 5.
The slope of XZ is Three-fourths, the slope of XY is Negative four-thirds, and the slope of ZY = 7.
Answer:
C
Step-by-step explanation
The statement that proves that triangle XYZ is an isosceles triangle is XZ = XY =5
What are isosceles triangles?isosceles triangles are triangles that have two equal sides
The coordinates are given as:
X = (1, 3)
Y = (4, -1)
Z = (5, 6)
Calculate the distances between the points using:
[tex]d =\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]XY =\sqrt{(1 -4)^2 + (3 --1)^2}[/tex]
[tex]XY =5[/tex]
[tex]XZ =\sqrt{(1- 5)^2 + (3 -6)^2}[/tex]
[tex]XZ =5[/tex]
From the above computation, we have:
[tex]XY = XZ =5[/tex]
Hence, the statement that proves that triangle XYZ is an isosceles triangle is XZ = XY =5
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5. Estimate 0.00792398 to the nearest
thousandth. Express your answer as a
single digit times a power of ten.
Answer:
8×10⁻³
Step-by-step explanation:
You want the value 0.00792398 rounded to the nearest thousandth.
RoundingThe digit in the place to the right of the thousandth place is 9 in the ten-thousandths place. That is greater than 4, so the digit in the thousandths place needs to increase by 1 before other digits are dropped. The result is ...
0.008 = 8×10⁻³
To estimate 0.00792398 to the nearest thousandth, round the number to the third decimal place. As the fourth decimal is 9, we round up to get 0.008. This expressed as single digit times a power of ten becomes 8 * 10^-3.
Explanation:In this problem, you are asked to estimate 0.00792398 to the nearest thousandth. That means you need to round the number to the third decimal place. Firstly, you look at the fourth decimal place, which is 9. If this digit is 5 or more (which it is in this case), we round the third decimal number up. So 0.00792398 rounded to the nearest thousandth becomes 0.008.
Now, to express the answer as a single digit times a power of ten, you would express 0.008 as 8 * 10^-3. This is because -3 powers of ten move the decimal place three places to the left and leaves us with the original number 0.008.
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Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
Linear equation which represents the hours Yuson has left after x days is:
30-2x
Step-by-step explanation:Yuson must complete 30 hours of community service.
She does 2 hours each day.
i.e. in x days, hours of service done= 2x
After x days hours of service left= 30-2x
Hence, linear equation which represents the hours Yuson has left after x days is:
30-2x
The linear equation representing the hours Yuson has left after x days is y = 30 - 2x, where y is the remaining hours and x is the number of days.
Explanation:The linear equation that represents the hours Yuson has left after x days is y = 30 - 2x.
This is because Yuson must complete 30 hours of community service, and she does 2 hours each day. The equation y = 30 - 2x represents the remaining hours (y) after x days.
For example, if it's the first day (x = 1), Yuson would have 30 - 2(1) = 28 hours left. If it's the second day (x = 2), Yuson would have 30 - 2(2) = 26 hours left, and so on.
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The following points for a function are graphed in the coordinate plane: (1, 2), (3, 8), (4, 11), and (6, 17).
What function is being graphed?
y = 2x
y = 3x - 1
y = x + 1
5x - 3
Answer:
y=3x-1 is your answer and now I have to add stuff
18 divided by 2 equals 9 because
Answer:
A
Step-by-step explanation:
9*2=18
18/2=9
18 divided by 2 equals 9 because A. 2 times 9 equals 18.
Here, we have,
given that,
18 divided by 2 equals 9
now, we have to find why it is 9.
now, we know that,
9*2=18
i.e. 2 times 9 = 18
so, we get,
9*2=18
=> 18/2=9
Hence, 18 divided by 2 equals 9 because A. 2 times 9 equals 18.
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6.7x = 5.2x + 12.3
How to solve
Answer:
x = 8.2
Step-by-step explanation:
Given
6.7x = 5.2x + 12.3 ( subtract 5.2x from both sides )
1.5x = 12.3 ( divide both sides by 1.5 )
x = 8.2
Answer:
8.2
Step-by-step explanation:
you can solve it by changing it to standard form
Thus, 67×10^-1x =52×10^-1x +123×10^-1
group like terms.
67×10^-1x -52×10^-1x =123×10^-1
15×10^-1x =123×10^-1
divide through by 15 ×10^-1
X= 123×10^-1/15×10^-1
X=41/5
X=8.2
Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can travel on x gallons of gas. b. Ann's car used 7 gallons of gas during a trip. How far did Ann drive?
Please show your work sow I know how to do it don't just tell me the answer explain Thank you
Answer:
288 gallons ÷ 6 miles = 48 miles per gallon
48 miles per gallon • 7 miles = 366 miles
Step-by-step explanation:
The table below represents an exponential function. What is the missing value?
Answer:
Step-by-step explanation:
Looking at the values for [tex]y[/tex], you can see that each value is twice the previous value, which means that the missing value will be twice the previous value, which was 40, so the answer is 80.
When x = 4, the missing value is y = 80. therefore, option 80 is correct.
The table represents an exponential function, which can be expressed in the form y = ab^x, where "a" is the initial value (when x = 0), and "b" is the common ratio or base.
From the table, when x = 0, y = 5. This gives us the value of "a," which is 5.
Now, we can use this information to find the missing value when x = 4.
y = ab^x
y = 5 * b^4
To find "b," we can use another data point from the table, for example, when x = 1, y = 10:
10 = 5 * b^1
Now, solve for "b":
10 = 5b
Divide both sides by 5:
b = 10 / 5
b = 2
Now that we know the value of "b" is 2, we can find the missing value when x = 4:
y = 5 * 2^4
y = 5 * 16
y = 80
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The fraction 3/8 is equivalent to what percent?
Answer: 37.5 % is the correct answer
Answer:
37,5%
Step-by-step explanation:
Divide 3 by 8.
3 / 8 = 0,375
Then multiply by 100 to know the percentage.
0,375 x 100% = 37,5%
Find the complement of an angle whose measure is 38
Answer:
52
Step-by-step explanation:
Complementary angles are two angles that add up to equal 90 degrees
90-38= 52
Therefore the complementary angle or "complement" of 38 is 52 degrees
Answer:
52⁰
Step-by-step explanation:
Complement of angke = 90 - angle
Complement = 90 - 38 = 52⁰
Which value of x is a solution for this equation? 7 − 4x = −12 − 3x
To solve the equation 7 - 4x = -12 - 3x, combine like terms and isolate x on one side of the equation. The solution is x = 19.
Explanation:To solve the equation 7 - 4x = -12 - 3x, we need to isolate the variable x on one side of the equation. First, we can combine like terms by subtracting 7 from both sides:
7 - 4x - 7 = -12 - 3x - 7
-4x = -19 - 3x
Next, we can simplify the equation by adding 3x to both sides:
-4x + 3x = -19 - 3x + 3x
-x = -19
Finally, we can solve for x by multiplying both sides by -1:
x = 19
Therefore, the value of x that is a solution for the equation 7 - 4x = -12 - 3x is x = 19.
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Fine the slope from the pair of points (2,-3) (-4,3)
Answer:
-1
Step-by-step explanation:
First do the slope formula
y2-y1/x2-x1 so
3-(-3)/-4-2
6/-6=-1
what is the discriminant
Answer:a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.
Step-by-step explanation:
[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{-7} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one real solution}\\ \underline{positive}&\textit{two real solutions}~~\textit{\Large \checkmark}\\ negative&\textit{no solution} \end{cases} \\\\\\ (-4)^2-4(1)(-7)\implies 16+28\implies 44[/tex]
what is the input value for which f(x)=3
Based on the graph, the input value for which f(x) = 3 is -3.
What is a function?In Euclidean Geometry, a function is a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.
By critically observing the graph shown above, we can logically deduce that an input value that produces an output value of 3 is -3 as made evident by this ordered pair (3, -3);
f(-3) = 3
Based on the graph, the input value for which f(x) = 3 is -3.
What is a function?
In Euclidean Geometry, a function is a mathematical expression which is used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.
By critically observing the graph shown above, we can logically deduce that an input value that produces an output value of 3 is -3 as made evident by this ordered pair (3, -3);
f(-3) = 3
Problem Set:
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.
a. Write the ratio of the number of boys to the number of girls.
b. Write the same ratio using another form (A: B vs. A to B).
c. Write the ratio of the number of boys to the number of adults.
d. Write the same ratio using another form.
*Answer A-D
Answer:
Part a) [tex]\frac{132}{89}[/tex]
Part b) 132:89 vs 132 to 89
Part c) [tex]\frac{66}{7}[/tex]
Part d) 66:7 vs 66 to 7
Step-by-step explanation:
Let
x ----> the number of boys
y ----> the number girls
z ----> the number of adults
we have
x=132, y=89, z=14
Part a) Write the ratio of the number of boys to the number of girls.
To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls
so
[tex]\frac{x}{y}[/tex]
substitute
[tex]\frac{132}{89}[/tex]
Part b) Write the same ratio using another form (A: B vs. A to B)
we have
[tex]\frac{132}{89}[/tex]
The other form is
132:89 vs 132 to 89
Part c) Write the ratio of the number of boys to the number of adults
To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults
so
[tex]\frac{x}{z}[/tex]
substitute
[tex]\frac{132}{14}[/tex]
Simplify
[tex]\frac{66}{7}[/tex]
Part d) Write the same ratio using another form
The other form is
66:7 vs 66 to 7
two angles are supplementary one angle is 12 degrees more than three times the other angle find the measure of the angle
Step-by-step explanation:
x = angle 1
3x + 12 = angle 2
angle 1 + angle 2 = 180
4x + 12 = 180
4x = 168
x = 42 = angle 1
180 - 42 = 138 = angle 2
X= the smaller smaller angle
180° = X + 3X + 12
180° - 12° = 4X
168° = 4X
X = 168 ÷ 4
X = 42°
The bigger angle is 3X + 12
= 3 × 42 + 12
= 126 + 12 = 138°
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The difference of two numbers is 841. The smaller of the numbers is 471. What is the other number?
The larger number from the two numbers which has a difference of 841 and where the smaller number is 471, is calculated to be 1312
Explanation:The question tells us that the difference of two numbers is 841 and the smaller number is 471. We can express this situation using a simple equation: x - 471 = 841, where x is the larger number that we're trying to find. If we add 471 to both sides of the equation to isolate x, the equation becomes x = 841 + 471, which gives us x = 1312. So, the larger number is 1312
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The question asked to solve for a number when given the difference between that number and another number is 841, and the one number is 471. By switching the subtraction problem into an addition one, we add 841 to 471 to get the larger number, which is 1312.
Explanation:
The student is asking to find a second number when the difference of it and another number is known. The information given is that the difference between two numbers is 841, and the smaller number is 471.
The question can be solved using simple subtraction in reverse, also called addition. You see, when we know the difference between two numbers and one of the numbers, we can find the other number by adding the difference to the known number, if the known number is smaller, which is the case here.
To find the missing number we simply add the difference (841) to the smaller number (471). It will look like this: 471 + 841 = 1312.
Therefore, the larger number in this pair of numbers is 1312.
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PLEASEEEEEEEE!!!!! I need help ASAP
Hello!
A, and C
B is just a number. D is a term. anything with an equal sign is considered a mathematical equation/sentence
I hope this helps, and have a nice day!
Answer:
The answers are A and C
Step-by-step explanation:
A and C are correct mathematical sentences.
B is just a coefficient
Also D is simply the factor of 2 and x or twice a number but not a sentence.
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two right anglws are supplementary. true or false
Answer:
That is true.
Step-by-step explanation:
A supplementary angle equals 180 degrees and and a right angle is 90, so 90+90=180
HELP PLZ
The graph represents a functional relationship. On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14). Which value is an input of the function? –14 –2 0 4
Answer:
The value of 4 is an input of the function
Step-by-step explanation:
Let
x -----> the independent variable or input value
y ----> the dependent variable or output value
we know that
Looking at the graph
The domain (input values) of the linear function is equal to the interval
[1,∞)
[tex]x\geq 1[/tex]
All real numbers greater than or equal to 1
The range (output values) of the linear function is equal to the interval
(-∞,3]
[tex]y\leq 3[/tex]
All real numbers less than or equal to 3
therefore
The value of 4 is an input of the function
The value is an input of the function? 4
Explanation:The graph represents a functional relationship. On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14). Which value is an input of the function?
a. –14 b. –2 c. 0 d. 4A functional relation definition is a binary relation R⊂A×B between sets A and B, such as (a,b)∈R and (a,c)∈R imply b=c.
By determining whether a relation is a function involves making sure that for every input there is only one output. In order for a relation that called function, each X value must have one Y value whereas X has to have one Y value. X is the independent variable or input value, whereas Y is the dependent variable or output value
According to the graph attached, the linear function domain is equal to the interval [1,∞). All real numbers according to the graph is greater than or equal to 1. Whereas the linear function range is equal to the interval (-∞,3]. All real numbers less than or equal to 3, the value of 4 is an input of the function
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What is the range of the function y3x+8?
Answer:
D: {x ∈ R}
R: {y ∈ R}
Step-by-step explanation: Hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐
What is the slope of the line in the graph?
Answer:
Step-by-step explanation:
There are three steps in calculating the slope of a straight line when you are not given its equation.
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate slope.
Take a moment to work through an example where we are given two points.
Example
Let's say that points (15, 8) and (10, 7) are on a straight line. What is the slope of this line?
Step One: Identify two points on the line.
In this example we are given two points, (15, 8) and (10, 7), on a straight line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). Let's take the point (10, 7) to be the point (x1, y1).
Step Three: Use the equation to calculate slope.
Once we've completed step 2, we are ready to calculate the slope using the equation for a slope:
We said that it really doesn't matter which point we choose as (x1, y1) and the which to be (x2, y2). Let's show that this is true. Take the same two points (15, 8) and (10, 7), but this time we will calculate the slope using (15, 8) as (x1, y1) and (10, 7) as the point (x2, y2). Then substitute these into the equation for slope:
We get the same answer as before!
Often you will not be given the two points, but will need to identify two points from a graph. In this case the process is the same, the first step being to identify the points from the graph. Below is an example that begins with a graph.
3 times the difference of X and 4 is greater than or equal to -8 and less than or equal to 10. What is the inequality?
Good evening ,
_______
Answer:
-8 ≤ 3(x-4) ≤ 10
____________________
Step-by-step explanation:
—Let’s solve it—
-8 ≤ 3(x-4) ≤ 10
⇔ -8 ≤ 3x-12 ≤ 10
⇔12-8 ≤ 3x ≤ 10+12
⇔4 ≤ 3x ≤ 22
⇔4/3 ≤ x ≤ 22/3.
:)
How much fencing is needed to enclose a circular pond with diameter 12.5 feet? A. 37.5 feet B. 19.625feet C. 98.5feet D. 39.25feet
Answer:
c=pi x d
3.14x12.5
d is the answer
Step-by-step explanation:
The length of fencing should be 78.5 feet.
What is circumference of circle?It is a well-known fact that the ratio of the circumference of a circle to its diameter is fixed and its value is 3.14159... which is symbolically represented as π. Therefore, circumference = π × diameter = 2π × radius.
Given:
diameter= 12.5 feet.
radius= 6.25 feet
So, circumference of circle
=2πr
=2.*314*6.25
= 78.5 feet.
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