Equivalent ratios are the ratios that are the same when we compare them. Three equivalent ratios are 1/2, 4/8, 3/6 in digits from 1 to 9.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other
Equivalent ratios are the ratios that are the same when we compare them.
The digits from 1 to 9 include 1,2,3,4,5,6,7,8,9.
Ratios are nothing but fractions.
Let 1/2 (one by two) is the first ratio.
Now 3/6 (three by six) is the second ratio
4/8 (four by eight) is the third ratio.
If we calculate the value of 1/2 = 0.5
The value of 3/6=1/2=0.5
The value of 4/8= 1/2=0.5
we get the same answer for all the ratios 1/2, 4/8 and 3/6 that is 0.5
That is 0.5 or 1/2.
Hence the three equivalent ratios are 1/2, 4/8, 3/6.
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Rewrite the following numbers as rational numbers in the form of p/q (where P and Q are integers and Q≠O) in there lowest terms:
a). 0.75
b). 0.12
c). 0.80
d).1.25
The numbers in the rational form ( in there lowest form) of p/q are
(a) 0.75 = 3/4
(b) 0.12 = 3/25
(c) 0.80 = 4/5
(d) 1.25 = 5/4
In the question ,
number in the decimal form are given , and we have to express them in the rational form that is p/q .
So ,the expressions in rational form and lowest form are
(a) 0.75 [tex]=[/tex] 75/100 = 3/4
(b) 0.12 [tex]=[/tex] 12/100 = 6/50 = 3/25
(c) 0.80 [tex]=[/tex] 80/100 = 8/10 = 4/5
(d) 1.25 [tex]=[/tex] 125/100 = 5/4
Therefore , The numbers in the form of p/q are (a) 0.75 = 3/4 , (b) 0.12 = 3/25 , (c) 0.80 = 4/5 , (d) 1.25 = 5/4 .
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Determine which integer will make the inequality 5x + 12 > 2x + 6 false.
S:{−3}
S:{3}
S:{−1}
S:{1}
The integer is x>-2
5 x+12>2 x+6
Subtract 12 from both sides
5 x+12-12>2 x+6-12
Simplify
5 x>2 x-6
Subtract 2x from both sides
5 x-2 x>2 x-6-2 x
Simplify
3 x>-6
Divide both sides by 3
[tex]\frac{3 x}{3} > \frac{-6}{3}$$[/tex]
Simplify
x>-2
Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." As a result, fractions and decimals are not included in integers.
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043.
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155% as a mixed or whole number
Answer:
[tex]1\frac{11}{20}[/tex]
Step-by-step explanation:
155% = 155 / 100 = 1.55
1.55 =155/1 × 100 / 100 = 155 / 100
155 / 100 = 31 / 20
31 / 20 = 1 11/20
Time Elapsed: HieAttempt due: Jun 20 a40 Minutes, 30 SeGiven: 21 and 23 are supplementaryProve: line m || linenComplete the proof. Number your reasons in the textbox below.Reasons1.2.Statements21 and 23 are supplementary21 + 23 = 18022 = 23Z1 + Z2 = 180°21 and 22 are supplementaryline m || linen3.4.5.6.
Statements and reasons.
1) ∠1 and ∠3 are supplementary
Reason: This is true because it is stated in the question.
2) ∠1 + ∠3 = 180º
Reason: By statement 1, ∠1 and ∠3 are supplementary, and by definition, supplementary angles sum up 180º.
3) ∠2 = ∠3
Reason: From the picture we see that ∠2 and ∠3 are opposite congruent angles, so they are equal.
4) ∠1 + ∠2 = 180º
Reason: from statement 2 we have ∠1 + ∠3 = 180º, and from statement 3 we have ∠2 = ∠3, so we have ∠1 + ∠2 = 180º.
5) ∠1 and ∠2 are supplementary
Reason: from statement 4 we have that ∠1 sum up ∠2, so by definition ∠1 and ∠2 are supplementary.
6) line m || line n
Reason: from the picture we see that ∠1 and ∠2 are internal collateral angles of the lines m and n, and from statement 5 we know that ∠1 and ∠2 are supplementary, so we have that the angle between line m and line n is 180°, and by definition, they are parallel lines.
Summary of the reasons
1) It is stated in the question
2) By statement 1 and by definition of supplementary angles.
3) Because they are opposite congruent angles, so they are equal.
4) By statement 2 and 3.
5) By statement 4, and by definition of supplementary angles.
6) By picture ∠1 and ∠2 are internal collateral angles of the lines m and n, and by statement 5 they are supplementary so they are parallel lines.
there is a linear relationship between the distance that a car drives and the amount of gas left in the tank of the car. the value of r2 for this linear relationship is 98.01%. what is the value of r?
A linear relationship between the distance that a car drives and the amount of gas left in the tank of the car is negative, and the value of r is -0.99
A linear relationship between the distance that a car drives and the amount of gas left in the tank of the car are negative because when a car travels a distance, it consumes fuel, and so fuel decrease with distance
Calculating the value of r
Given, r^2=98.01%
r^2=0.9801
r=±√0.9801
r=±0.99
Since r should be negative, so we pick the negative value and reject the positive value
r=-0.99
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pls help me with aswell pls
Outward journey Speed = 20 km/hr , James stopped for 45 Mins ,Average speed homewars 15 km/hr
What is speed, for instance?
A measure of speed is the rate at which something is happening, moving, or moving swiftly. The speed of a car being driven at 45 mph serves as an illustration. A person cleaning a room in 10 minutes is an illustration of speed.From graph Journey Started at 2PM
on 3PM James covered 20 km
Hence Speed = (20 - 0)/(3 -2) = 20 km/hr
outward journey Speed = 20 km/hr
Now outward Distance = 45 km
Time taken = 45/20 = 2 hr 15 min
Hence reached at 4 : 15 PM
Started home at 5 PM
James stopped for 45 Mins (3/4 hrs)
Reached back at 8PM
time taken = 8 - 5 = 3 Hrs
Distance = 45 km
Average speed homeward = 45/3 = 15 km/hr
Average speed homeward = 15 km/hr
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f(x)= -4x^2+12x-9
What is the value of the discriminant of f?How many x-intercepts does the graph of f have?
Answer:
discriminant =b^2 -4ac
= (12)^2 -4(-4)(-9)
=0
Use the graph to estimate the roots of the equation.
The roots of a function are the points where the graph crosses the x-axis.
Thus, in the following graph, we can see that the function has 2 roots. These are in:
[tex]\begin{gathered} x=-2 \\ \text{and} \\ x=2 \end{gathered}[/tex]Answer:
x = -2
x = 2
I need to know what is the missing reason for line 7 in this proof
Similarity Theorems
Triangles ABG and DCB are similar by the AA similarity postulate
"If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar"
The steps previous to statement 7 prove angles C and B are congruent because they are formed by two parallel lines that intersect a common line.
On the other side, angles DBC and AGB are congruent also because they are both right angles.
With two corresponding congruent angles, the AA similarity postulate is satisfied and the triangles are similar.
there are 15 pieces in 3 building set. How many pieces are there in 8 building set?
Answer:
40
Step-by-step explanation:
why? because there are 5 pieces in each building set so 5×8=40 so the answer is 40
please help me with this homework question!!!
Answer:
51.06 degree
Step-by-step explanation:
x=sin^(-1)(7/9)
= 51.06 degree
3x6 = 7x - 8
What equations have the same solution set?
I do not need a whole explanation just make the answer clear, please.
WILL GIVE BRAINLIEST! Please help and explain, thank you! All that is needed is to find the unknown side.
Answer: 2
Step-by-step explanation: 12 divided by 3 is 4 so 6 divided by 3 would be 2
⇒I will use the similarity theorem which works by proportion of sides in similar shapes.
⇒The side with magnitude 12 in the bigger triangle is proportional with the side with magnitude 4 in the smaller triangle
⇒The side with magnitude 6 in the bigger triangle is proportional with the side with magnitude x in the smaller triangle. The proportionality theorem allows us to equalize the proportions of the sides
⇒HOW? HERE it is the solution
⇒[tex]\frac{12}{4} =\frac{6}{x} \\[/tex]
⇒[tex]12(x)=4(6)\\12x=24\\\frac{1x}{12} =\frac{24}{12} \\x=2[/tex]
⇒I used cross multiplication
Can anybody help me on this please? Does anyone see my question?
The slope of the line is represented by the word m which is obtained as 0.5.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
To determine a line's inclination or steepness, use the slope formula. Calculating the ratio of the change in the y-axis to the change in the x-axis may be used to calculate the slope of any line.
From the graph, the data is observed as,
(x₁,y₁)=(0,1)
(x₂,y₂) = (-2,0)
The slope of the line is found as,
[tex]\rm m =\dfrac{0-1}{-2-0} \\\\ m = 0.5[/tex]
Thus, the slope of the line is represented by the word m which is obtained as 0.5.
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What is the equation of the line that passes through the point (5, 3) and has an
undefined slope?
The equation of the line will be expressed as x = 5.
Slope of a line may be defined as the steepness of a curve plotted on paper. The slope of a line between two points (x₁, y₁) and (x₂, y₂) can be calculated by formula m = (y₂ - y₁)/(x₂ - x₁).
If we have two points and we have to find equation of line through two points (x₁, y₁) then equation will be (y - y₁) = m(x - x₁) where m is the slope of line.
We have two points (5, 3) and slope is undefined.
Undefined slope can be expressed as 1/0. So, the equation of line through (5, 3) will be
(y - 3) = 1/0 (x - 5)
=> x - 5 =0
=> x = 5
This is the equation of line, and this line will be parallel to y-axis.
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for each equation complete the table and then graph the equation
The slope-intercept form a of the equation of a line is:
[tex]y=mx+b[/tex]Where m is the slope and b is the intercept.
For this exercise m = -1 and b = -1
To find the 'y' values of the table you just have to replace the x values into the equation:
And put these pairs into the graph and join them with a line:
Use the power reducing fabulous rewrite the identity in terms of the first power of cosine
The power reducing formula for the fourth power of the cosine function is:
[tex]\cos ^4\theta=\frac{3}{8}+\frac{1}{2}\cos (2\theta)+\frac{1}{8}\cos (4\theta)[/tex]Replace θ=3x to find the expression for cos⁴(3x) in terms of the first power of the cosine function:
[tex]\begin{gathered} \cos ^4(3x)=\frac{3}{8}+\frac{1}{2}\cos (2\cdot3x)+\frac{1}{8}\cos (4\cdot3x) \\ \frac{3}{8}+\frac{1}{2}\cos (6x)+\frac{1}{8}\cos (12x) \end{gathered}[/tex]Therefore, the answer is:
[tex]\cos ^4(3x)=\frac{3}{8}+\frac{1}{2}\cos (6x)+\frac{1}{8}\cos (12x)[/tex]Use the second option to write this expression as input.
5x+6y=37
2x + 3y = 4
Answer:
x = 29
y = -18
Step-by-step explanation:
5(29) + 6(-18) = 37
145 - 108 = 37
:)
Wukong and Nice are playing a soccer match
and the probabilities of them scoring are7/8 and 5/6 respectively. What is the probability that at
least one of them will score a goal if they each
play the ball once?
The probability that at least one of them will score a goal if they each play the ball once is 47/48.
What is probability?Probability is a mathematical and scientific term that describes the possibility or occurrence of an event. Many events are difficult to predict with absolute accuracy. Only the likelihood of an event occurring, i.e. how likely it is, can be predicted using probability.
Given:
The probabilities of Wukong and Nice scoring in the match are 7/8 and 5/6 respectively.
The probability that at least one of them will score a goal is,
= 1 - P(both of them not scoring a goal)
So the probability of Wukong and Nice not scoring a goal in the match is,
(1 - 7/8) (1 - 5/6) = (1/8)(1/6) = 1/48
Now the required probability is,
= 1 - P(both of them not scoring a goal)
= 1 - 1/48
= 47/48
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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5
The equations with same value of x as (3/5)(30x - 15) = 72 is 18x - 9 = 72, 3(6x - 3) = 72 and x = 4.5
How to solve an equation?An equation shows the relationship between two or more numbers and variables.
Given the equation:
(3/5)(30x - 15) = 72
Opening the parenthesis:
18x - 9 = 72
Factorizing the equation:
3(6x - 3) = 72
Dividing through by 3:
6x - 3 = 24
6x = 27
Dividing through by 6:
x = 4.5
The solution to the equation (3/5)(30x - 15) = 72 yields x = 4.5
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Someone please do this. due soon!! 30 points given as well as marked brainliest!!
All answers based on the Angles Properties.
Given,
From the figure,
Point P is on the bisector of ∠ABC
Fill the table in the given question.
Now, According to the question:
Statement Reason
1. BP is the bisector Given
2. ∠ABP ≅ ∠CBP The definition of angular bisector
3. ∠BXP and ∠BYP are Given
right angles.
4. m ∠BXP ≅ m ∠BYP All right angles are congruent
5. BP ≅ BP Reflexive Property
6. ΔBXP ≅ ΔBYP AAS
7. PX ≅ PY CPCTC
8. Point p is equidistant Definition of equidistant.
from the sides of ∠ABC
Hence, All answers in the table .
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I need help! Anyone who takes time out of there day to help me thank you so much!
Answer:
Step-by-step explanation:
Can someone please help me on this?
A baker uses 20 cups of flour to make bread. She uses 2 1/2 cups of flour to make each loaf. The baker sells 3/4 of the loaves of bread that she makes. How many loaves of bread does the baker sell?
Three students that share a townhouse find that their electric bill for October is $5.29 less than the September bill. The total of both bills is $155.93, and each bill is split evenly among the roommates how much they each owe in September?
We will have the following:
From the problem we will have the following expressions:
[tex]\begin{gathered} S=x \\ O=x-5.29 \\ S+O=155.93 \\ 2x-5.29=155.93 \end{gathered}[/tex]Now, from this we determine the value for the bill on september:
[tex]\Rightarrow2x=161.22\Rightarrow x=80.61[/tex]Now, since there are 3 people, the payment for each one is:
[tex]\frac{80.61}{3}=26.87[/tex]So, the payment for each one is $26.87 in September.
Can you help me help my sister we are both confused.
Answer:
A: Common multiple of 4 and 6 is 24
B: They would both be common multiples but they are two different multiples of 4 and 6.
C: 3/4= 18/24 1/6= 4/24
Step-by-step explanation:
A common multiple is a number that two numbers can be multiplied to. Something that both 4 and 6 can be multiplied to is 24, but there are many other multiples of 4 and 6 as well.
Jennifer has a collection of weights that each weigh 4, 6, or 9 pounds. If altogether, the weights weigh 42 pounds, what is the largest number of weights Jennifer could own?
The largest number of weights Jennifer could own is 798.
When do we use multiplication?Repeated addition of the same number is made easier by multiplying the numbers. When we need to merge groups of similar sizes, we employ it. For instance, if there are 5 baskets, each containing 4 apples, we can use multiplication to get the total number of apples, which is 5 x 4 = 20 apples.
We can rapidly determine the total number of things by multiplying. When multiplying, we'll consider the number of groups with similar sizes and the number of items in each group.
Given: The collection of weights : 4 , 6 and 9 pounds
The total weight of the weights = 42 pounds
Thus the largest number of weights jennifer could own is 4+6+9 = 19 multiplied by the total weight of the weights
= 19 × 42
= 798.
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Can someone please help me with this 20 points!
Can someone help me please
"Subtract to eliminate x" is correct option that is option C for the given set of equations -3x+2y=-15 and -3x-6y=9. equation defines "A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis".
What is equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
-3x+2y=-15
-3x-6y=9
subtract to eliminate x
8y=-24
For the given set of equations, -3x+2y=-15 and -3x-6y=9, option C, "Subtract to eliminate x," is the correct option. Equation explains "The general equation of a straight line is y = mx + c, where m stands for the gradient and y = c for the point where the line crosses the y-axis. This value c is referred to as the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is represented by Y = mx + c ".
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