It is add five two both sides.
6. Which of the following problems
can be solved using the equation
x - 9= 15?
F. Allison is 9 years younger than her
sister Pam. Allison is 15 years old.
What is x, Pam's age?
G. David's portion of the bill is $9 more
than Jaleel's portion of the bill. If
Jaleel pays $9, find x, the amount in
dollars that David pays.
H. The sum of two numbers is 15. If one
of the numbers is 9, what is x, the
other number?
I. Calvin owns 15 CDs. If he gave 9 of
them to a friend, what is x, the
number of CDs he has left?
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classro
H. line 6
I. line d
to 12 gives a sum
Answer:
F
Step-by-step explanation:
x-9=15 will equal to 24 so x=24
if Allison is 15 but she is 9 years younger then Pam, Pam is x, so all you have to do is count up from 15, so 15+9 which equals 24 Pam is 24 making F the right choice
Someone help me please
Please friend I do not know
whats the slope for (-17,12) (-8,3)
Answer:
-9/11
Step-by-step explanation:
slope is change in y/change in x
change in y is 9 (12-3)
change in x is -11 (-17--8)
slope is -9/11
Simplify 4x + 3x² + x² - 3x
Answer:
\(x + {4x}^{2} \)
Step-by-step explanation:
simplify by combining like terms
4x - 3x = x
\(3x ^{2} + {x}^{2} = {4x}^{2} \)
we're left with
\(x + {4x}^{2} \)
Answer:
4x²+x
Step-by-step explanation:
4x-3x+3x²+x²
4x minus 3x is x and 3x² +x² is 4x²
therefore,
4x²+x
if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
6. Part D
Another method of proving diagonals of a parallelogram bisect each other
uses a coordinate grid.
A.
P (r, t)
S (0, 0)
R (s, 0)
What could be shown about the diagonals of parallelogram PQRS to com
the proof?
PR and SQ have the same length.
PR is a perpendicular bisector of SQ.
PR and SQ have the same midpoint.
D. Angles formed by the intersection of PR and SQ each measu
B.
Q
(r+s, t)
Answer:
PR and SQ have the same midpoint.
Step-by-step explanation:
PR and SQ have the same midpoint.
how is 3 x 3/6 the same as 9 x 1/6
Answer:
3/1 times 3/6 = 9/6
9/1 times 1/6 = 9/6
Step-by-step explanation:
(-1/2+7/10)-(-3/4x-1/5)
Answer:
( − 1 2 + 71 0 ) − ( − 3 4 ⋅ − 1 ⋅ 1 5 )
Step-by-step explanation:
solve ((-3) x (10 + (-7))) to the power of 2 divided by 3 - (-9) to the power of 2)
The solution of the given expression will be 9/16.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²
= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²
= 9/16
Hence, The solution of the given expression will be 9/16.
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Solve the equation
4.173 - 10x – 2 = 42
I can’t figure this one out. Someone please help me.
Answer:
\(d \approx 8.2\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point F (2, 7)
Point G (4, -1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: \(d = \sqrt{(4-2)^2+(-1-7)^2}\)Subtract: \(d = \sqrt{(2)^2+(-8)^2}\)Exponents: \(d = \sqrt{4+64}\)Add: \(d = \sqrt{68}\)Simplify: \(d = 2\sqrt{17}\)Evaluate: \(d = 8.24621\)Round: \(d \approx 8.2\)Solve for x.
x = [?]
4x - 16
2x + 16,
Answer:
Solution given:
4x-16+2x+16=180{linear pair are supplementary]
6x=180
x=180/6
x=30
is a required answer.
Calculator Triangle ABC is similar totriangle DEF. The length of AC is 12 cm. The length of EF is 35 cm. The length of DF is 20 cm What is the length of BC ? Enter your answer in the box. cm
Answer:
BC = 21 cm
Step-by-step explanation:
In similar triangles the corresponding sides are in same proportion.
Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.
\(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)
\(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)
what is the value of this expression plssssss 8z-3 when z =7
Answer:
53
Step-by-step explanation:
8•7 is 56
56 - 3 is 53
Answer:
53
Step-by-step explanation:
z = 7
8z is the same as saying 8×z
8×7-3 (do multiplication first)
56-3 = 53
The solution to 12x = 36 is x =___. (Only input whole number) Numerical Answers Expected!
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
12x = 36
Step 2: Solve for x
[Division Property of Equality] Divide 12 on both sides: x = 3On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.
170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806
1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures
2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.
Answer:
1.d. None of these measures (do not exist interpreted as all of these exist)
2.The mean is increased from 346.8 to 361.32
Step-by-step explanation:
After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .
The mean is 346.8
The mode is 281
The median is 316
Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. The mean would be affected by the change.
The mean is 361.32
The mode is 281
The median is 316
The mean is increased from 346.8 to 361.32
A graphic company charges $60 per hour for the work of its most senior graphic artists, $30 per hour for the work of a production designer, and $19 per hour for the
work of a trainee. A recent project required 34 hours of work from a senior artist, 13 hours from a production designer, and 35 hours from a trainee. Write out a
mathematical statement for calculating the total labor cost, and then compute this cost.
Select the correct choice below and fill in the answer box to complete your choice.
(Simplify your answer.)
OA. $60+34+$30+13+$19+35-$
OB. (34+13+35) x ($60+$30+$19)=$
OC. 34x13x35+$60 × $30x$19=$
OD. 34×$60+ 13× $30+35x$19=$
Considering the definition of an equation, a mathematical statement for calculating the total labor cost is Total labor cost= 60×S + 30×PD + 19×T and the total labor cost for the recent project is $3,160.
Definition of equation
An equation is the equality between two algebraic expressions connected by the equals sign in which some known data are included together with one or more unknown values, also known as unknowns.
The terms of an equation are the addends that make up the members of an equation, whereas the members of an equation are each of the expressions that appear on both sides of the equal sign.
Finding the value that satisfies an equation is what is meant by finding its solution. By converting the unknown to the answer in this manner, the equality must be true.
This case
In this case, you consider:
S= hours of work from a senior artist.
PD= Production designer labor hours.
T= hours of work from a trainee.
On the other hand, you know that Girilla Graphics charges:
For the work of its most senior graphic artists, they charge $60 per hour.
For production designer work, the hourly rate is $30.
$19 per hour for a trainee's labor.
Therefore, the following equation can be used to determine the project's overall labor costs:
Total labor cost= 60×S + 30×PD + 19×T
A recent project required:
A senior artist's 34 hours of labor.
13 hours from a production designer.
35 hours from a trainee.
So, the following formula can be used to determine the project's overall labor costs:
Total labor cost= 60×34 + 35×13 + 19×35
Solving:
Total labor cost= $3,160
In summary, a mathematical statement for calculating the total labor cost is Total labor cost= 60×S + 30×PD + 19×T and the total labor cost for the recent project is $3,160.
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8/5÷6=
i need help on this
Answer:
2 forms
Step-by-step explanation:
hope this helps <3
\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)
\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)
\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)
\( \sf \longrightarrow \: \frac{30}{8} \\ \)
\( \sf \longrightarrow \: \frac{8}{30} \\ \)
\( \sf \longrightarrow \: 0.26 \\ \)
_____________________________
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?
LOOK AT PICTURE
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)
How do you look for a correlation using data points?
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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HELPP I WILL GIVE BRAINLIST!!!
Which set of fraction bars shows two equivalent fractions?
Answer:
The middle! Please vote Brainliest!
Step-by-step explanation:
Answer:
The middle choice
Step-by-step explanation:
The bars go the same amount foward
Example: Divide 3 loaves between 5 people First, divide two of the loaves into thirds... each person gets one third each, with one third left over Then divide the left-over third from the second loaf into fifths So, each person gets: 1/5 and the third loaf into fifths each person gets one fifth each each person gets a slice (one fifteenth) 1/15 3/5 The Egyptians used the approximated process to work on the area of a circle as shown in the picture. 1.4 Show the representation of the fractions on the second row. (2) 1.5 Show the algorithm/abstract strategy to justify the 3/5 found as the answer. (3)
The algorithm justifies the answer of 3/5 as the fraction each person gets.
Representation of the fractions on the second row:
From what you described, two of the loaves were divided into thirds.
This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.
Therefore, each person receives one fifth from this remaining third.
So, the representation of the fractions on the second row would be:
Each person receives 1/3 (one third) from the two loaves.
Each person receives 1/5 (one fifth) from the remaining third.
Algorithm/Abstract strategy to justify the 3/5 found as the answer:
To find the final answer of 3/5, we can follow the steps you provided:
Divide two loaves into thirds, giving each person 1/3.
Divide the remaining third from the second loaf into fifths, giving each person 1/5.
Combining the fractions, each person has 1/3 + 1/5.
To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:
1/3 = 5/15 (multiplying numerator and denominator by 5)
1/5 = 3/15 (multiplying numerator and denominator by 3)
Now, we can add the fractions:
5/15 + 3/15 = 8/15
Therefore, each person receives 8/15 of a loaf.
Simplifying this fraction, we get 3/5.
Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.
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3. Car A is 20 miles behind car B, which is travelling in the same direction along the same rout as car A. Car A is travelling at a constant speed of 58 miles per hour and car B is travelling at a constant speed of 50 miles per hour. How many hours will it take for car A to overtake and drive 8 miles ahead of car B?
Answer: 3.5 because Solution 3.5 equals E
verified
Verified by Toppr
Correct option is E)
Let us assume that Car A takes T time to overtake and drive 8 miles ahead of Car B
Now, Distance Travelled by Car B in Time T=50∗T and Distance Travelled by Car A in Time T=58∗T
A must cover 28 km more than B for Overtaking by 8 miles as Initially A is 20 miles behind B.
⇒58T−50T=28
⇒8T=28
⇒T=3.5
Therefore Answer is (E)
Step-by-step explanation:
valuate the summation for the indicated value of the variable. 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!); m = 3
The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.
What is Expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.
To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:
1(1!)+2(2!) +3(3!) +4(4!) +3(3!)
= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)
= 1 + 4 + 18 + 96 + 18
= 137
Therefore, the value of the summation when m = 3 is 137.
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math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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-2a-6a-9=-9-6a-2a
help please g
Answer:
the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).
Step-by-step explanation:
To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:
Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.
Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.
Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).
In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).