The required smaller number is 14, and the larger number is one more than that, or 15.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's call the smaller number x. Then the larger number is x + 1, because we know it is one more than the smaller number. We can set up an equation based on the fact that the two numbers add up to 29,
x + (x + 1) = 29
Simplifying this equation, we get:
2x + 1 = 29
Subtracting 1 from both sides, we get:
2x = 28
Dividing both sides by 2, we get:
x = 14
So the smaller number is 14, and the larger number is one more than that, or 15.
To check, we can add the two numbers together:
14 + 15 = 29
Learn more about models here:
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1.There were 12 people on the jury. There are 4 more men than women. How many men were there?
2.Larry has twice as much money has Jack. Together they have $63. How much money does each have?
3.Bill drove three times as far as Donald. Bill drove 24 more miles than Donald. How far did Donald drive?
The ratio table below shows the relationship between cups of sauce and servings of spaghetti. Spaghetti Cups of sauce Servings 1 2 2 4 ? 8 10 20 How many cups of sauce are needed for 8 servings of spaghetti? 3 4 6 8
Answer:
B. 4
Step-by-step explanation:
Which of the following contains examples of ALLITERATION? Question 2 options: “We real cool. We left school.” “We lurk late. We strike straight.” “My soul has grown deep like the rivers.” “I’ve known rivers; ancient, dusky rivers.”
Answer:
We lurk late. We stike straight.
Step-by-step explanation:
Alliteration is the repetition of the beginning sounds ir letters of words.
Ex: Lucy is lazily laughing.
preform the indicated opperation 5 1/6 - -2 2/3
Answer:
7 5/6
Step-by-step explanation:
Since you're a subtracting a negative, ti cancels each other out and ends up in addition. So it's 5 1/6+2 2/3. And to add fractions the denominators must be the same.
Thus, you multiple 2/3 * 2= 4/6. So 5+2=7.
And 1/6+4/6=5/6.
Therefore the answers is 7 5/6.
sarah is drawing a parallelogram abcd on a coordinate plane. the parallelogram has the coordinates A(-7,5) B(6,5) and D(-9,-2). which of the following coordinates should sarah use for point c?
A. (6,-3)
B. (4,-5)
C. (4,-2)
D. (6,3)
Answer:
(4,-2)
Step-by-step explanation:
Okay, I figured out the answer...
You need to use the [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex] formula.
We know that AB is parallel to CD....(so whatever answer ad is, then cd will have that same answer).
We also know that AD is parallel to BC...(so whatever answer ad is, then bc will be the same).
So we need to find AB, CD, AD, BC. We have to do CD and BC later because we don't have the c.
Find AB: [tex]\frac{5-5}{6-(-7)}[/tex]= [tex]\frac{0}{13}[/tex]= 0
Find AD: [tex]\frac{-2-5}{-9-(-7)}[/tex] = [tex]\frac{-7}{-2}[/tex]
So now that we have the basic ones, we know that AB is parallel to CD. Therefore CD should have the same slope of 0/13 or 0. SO we need to find numbers that combine with the x and y of AB. When they do combine, they should give a fraction of 0/13.
Find CD: [tex]\frac{-2+2}{-9-4}[/tex] ( we already had the -2...what number adds to -2 to make it zero?...positive 2.....Then, we already had -9 from the D coordinates. So what # adds/subs to -9 to make it 13 or -13...well 4 does. Remember to put the correct signs (-+) in the equation. Our answer is 4,-2). If we had to use positive two, then we take the opposite for our answer. We used -4, so we take the opposite for our answer. Then later on, you can plug in (4,-2) into BC to see if you were to get the slope of -7/-2. which you do.
Sally takes 2 5/6 minutes to drive from her home to the local shopping center. She spends 1/5 of this time waiting at traffic lights. Find the number of minutes she spends waiting.
Answer:
[tex]\dfrac{17}{30}[/tex] minutes.
Step-by-step explanation:
It is given that Sally takes [tex]2\dfrac{5}{6}[/tex] minutes to drive from her home to the local shopping center.
[tex]2\dfrac{5}{6}=\dfrac{2(6)+5}{6}[/tex]
[tex]2\dfrac{5}{6}=\dfrac{12+5}{6}[/tex]
[tex]2\dfrac{5}{6}=\dfrac{17}{6}[/tex]
She spends 1/5 of this time waiting at traffic lights.
Waiting time in traffic [tex]=\dfrac{17}{6}\times \dfrac{1}{5}[/tex]
[tex]=\dfrac{17}{30}[/tex]
Therefore, waiting time is [tex]\dfrac{17}{30}[/tex] minutes.
Help!!! Help please! Any help is appreciated
Answer:
infinity
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Infinity and beyondddd
(-8) + (-7) =
please help me i do not understand this
the answer is -15. negative - negative = negative.
Answer:
(-8)+(-7).
-8-7= -15.
I need help on math problem ASAP giving brainlist
Answer:
i'm pretty sure its improper.
Step-by-step explanation:
:) I really hope this helps
For 3,4 identify the property of equality that would be used to solve the equation
3) k-10=14
A) additive property of equality
B) subtraction property of equality
C) mulitipliction property of equality
D) division property of equality
4) g/5=6
A) additive property of equality
B) subtraction property of equality
C) mulitipliction property of equality
D) division property of equality
First questions: A
You will add the 10.
Second questions: C
You will multiply the 5.
Problem is in the picture. HELP asap please!! I’m so confused
Answer:
A 22w = 1540
B Width = 70 feet
Length = 700 feet.
Step-by-step explanation:
A. If the width is w then the length is 10w.
Perimeter = 2* (length + width) so
2(10w + w) = 1540
22w = 1540.
B. 22w = 1540
w = 1540 / 22
w = 70 feet.
l = 70 * 10 = 700. feet.
x + 27 = 93
what does x =
Answer:
x=66
hope this helped :)
What is the value of X in the equation negative 6X = 5X +22
Answer:
22
Step-by-step explanation:
6x-5x=1x
1x =22
Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following correctly compares the two parts of the function in Part A, over the intervals [0, 7] and [8, 11]? . . Benito made an extra $25 after selling 7 shirts. The price of one shirt increases from $10 to $15. Benito spent $1 after selling 50 shirts Benito's profit per shirt increases from $10 to $15.
Answer:
The correct option is;
Benito's profit per shirt increased from $10 to $15
Step-by-step explanation:
Over the interval [0, 7] from 0 to 7 on the x axis, we have;
At x = 0, y = -20, therefore the y-intercept = -20
At y = 0, x = 2 which is the x-intercept
The slope, m₁ of the straight line plotted dots on the interval from 0 to 7 on the x axis is found as follows;
m = (y₂ - y₁)/(x₂ - x₁)
m₁ = (0 - (-20))/(2 - 0) = 10
The equation of the interval is therefore;
y - 0 = 10×(x - 2)
y = 10·x - 20
Therefore, the profit, y increases by $10, for each shirt, x, sold over the interval from 0 to 7 on the x axis
Over the interval [8, 11] from 8 to 11 on the x axis, we have;
At x = 9, y = 40,
At x = 11, y = 70
The slope, m₂ of the straight line plotted dots on the interval from 8 to 11 on the x axis is found as follows;
m = (y₂ - y₁)/(x₂ - x₁)
m₂ = (70 - 40)/(11 - 2) = 15
The equation of the interval is therefore;
y - 70 = 15×(x - 11)
y = 15·x - 165
Therefore, the profit, y increases by $15, for each shirt, x, sold over the interval from 8 to 11 on the x axis.
An item has a listed price of $80. If the sales tax rate is 7%, how much is the sales tax (in dollars)
Multiplying a listed price by the percent can get you the sales tax, and then you can add.
[tex]80*0.07=5.6[/tex]
(0.07 is 7% converted into a decimal)
[tex]80+5.6=85.60[/tex]
So the item is $85.60 after sales tax.
You may also notice that multiplying the listed price by 1.07 will get you the same answer, without the need to add the sales tax.
[tex]80*1.07=85.60[/tex]
Hope this helps.
頑張って!
What is the value of 1-44|?
Answer:It would be positive 44
Step-by-step explanation:
Answer:
-43
Step-by-step explanation:
What is the equation of a line that is perpendicular to y = -1/5x + 1 and passes through point (0, -2)?
Answer:
y = 5x - 2
Step-by-step explanation:
The slope will be 5, because that is the opposite reciprocal of the original slope, -1/5
Then, plug the slope and the given point into y = mx + b to find b:
y = mx + b
-2 = 5(0) + b
-2 = 0 + b
-2 = b
Then, plug the y-intercept and the slope into the equation:
y = 5x - 2 will be the equation
Choose the number in which the digit 2 is ten times greater than the digit 2 in 426.
Answer: 237
Step-by-step explanation:
Ok we can write 426 as:
400 + 20 + 6
Then the 2 in 426 is in the place of the tens and represents a 20.
If we want a number with a 2 that is 10 times greater than 20, we have that:
10*20 = 200.
Then we should find a number with a 2 in the hundreds place, an example can be:
237
where we can write this number as:
237 = 200 + 30 + 7
and the 2 is in the hundreds place.
For which equations is x = 9 a possible solution? Check all that apply
|x| =9
-|x|=9
-|-x|=9
-|-x|=-9
|x|=-9
|-x|=9
|-x|=-9
Answer:
|x| =9 yes
-|x|=9 no
-|-x|=9 no
-|-x|=-9 yes
|x|=-9 no
|-x|=9 yes
|-x|=-9 no
x=9 is a possible solution for
|x|=9-|-x|=-9|-x|=9What is the modulus function?A modulus function is a function that returns a number's or variable's absolute value. It generates the number's or the variable's magnitude.
It is represented by |x|.
How to solve the problem?Let us check for each equation.
|x|=9 is possible. -|x|=9 is not possible because -|x| must be negative.-|-x|=9 is not possible because -|-x| must be negative.-|-x|=-9 is possible because -|-x| must be negative here we took it to be -9. |x|=-9 is not possible because |x| must be positive but -9 is negative.|-x|=9 is possible because |-x| must be positive.|-x|=-9 is not possible because |-x| must be positive while -9 is negative.Hence among the possible equations, x=9 is a possible solution for
|x|=9-|-x|=-9|-x|=9Learn more about the modulus function in- https://brainly.com/question/13103168?referrer=searchResults
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2x-3y=15 solve and show steps please!!
The two lines shown intersect at the point (a,b). Find ab. Each unit square in the grid represents a distance of 1.
Answer:
(9/5, 8/5)
Step-by-step explanation:
First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.
y = 2x - 2
y = 1/3x + 1
Then you do 2x - 2 = 1/3x + 1
Then you do some maths and you get 9/5, and 8/5
describe how you can tell by lookin at a graph of a function which variable is the input variable and which is the output variable
Answer:
The output variable will be on the y-axis, the input variable will be on the x-axis.
Step-by-step explanation:
To create a function, we must an equation in the form of
[tex]Y(x) = kx + b[/tex]
The x-axis of a graph will be what we change in the function. We will get a certain value ([tex]Y(x)[/tex]) that changes when the right side of the function changes. This means that the input of the function will be [tex]x[/tex].
The y-axis of a graph will be what the x-axis makes. In this case, it's [tex]Y(x)[/tex]. This is the output of the graph after given the input. This means the output is [tex]Y(x)[/tex].
Hope this helped!
what is the value of x in the equation 2x + 5 = 21
Answer:
x=8
Step-by-step explanation:
2x + 5 = 21
Subtract 5 from each side
2x+5-5 = 21-5
2x= 16
Divide each side by 2
2x/2 = 16/2
x = 8
Answer:8
Step-by-step explanation:
2 times eight plus five is 21
Find the product. (3x2 + 2y) (5x2 + y) A. 15x4 + 13x2y + 2y2 B. 15x4 + 13x2y2 + 2y2 C. 8x4 + 10x2y.+ 3y2 D. 15x4 + 10x2y + 2y2
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}}}[/tex]
Option A is the correct option.
Step-by-step explanation:
[tex] \sf{(3 {x}^{2} + 2y)(5 {x}^{2} + y)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
Thenafter, Simplify
[tex] \dashrightarrow{ \sf{3 {x}^{2} (5 {x}^{2} + y) + 2y(5 {x}^{2} + y)}}[/tex]
[tex] \dashrightarrow{ \sf{15 {x}^{4} + 3 {x}^{2} y + 10 {x}^{2} y + 2 {y}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{15 {x}^{4} + 13 {x}^{2} y + 2 {y}^{2} }}[/tex]
Hope I helped!
Best regards! :D
16 – 7 + 22–12 + 18-9
Answer:
16 - 7 + 22 - 12 + 18 - 9 = 28
Hope it helps :)
midpoint of AB with A(-3, 5) and B(1, 7).
Answer:
(- 1, 6 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(1, 7) , thus
midpoint = [ [tex]\frac{1}{2}[/tex] (- 3 + 1 ), [tex]\frac{1}{2}[/tex] (5 + 7) ] = (- 1, 6 )
If 10% of * =3, find 20% of *
Answer:
6
Step-by-step explanation:
if the 10% is equal to 3 then 20% is
10/3 = 20/x cross multiply
60 = 10x
6 = x
Answer:
6
Step-by-step explanation:
I think the answer is 6 because if 10%=3 and 10 is half of 20, then 3 is going to be half of 6.
Hope this helps!
what is 24% of 180 A. 75 B. 43.2 C. 4.32 D. 7.5
Answer:
B. 43.2
Step-by-step explanation:
Simplify:
(7y2 + + 3xy - 9) - (2y2 + 3xy - 5)
Answer:
[tex]\huge\boxed{\sf 5y^2 -4}[/tex]
Step-by-step explanation:
[tex]\sf (7y^2 + 3xy -9) - (2y^2+3xy-5)\\\\Resolving \ Parenthesis\\\\7y^2 + 3xy-9 -2y^2 -2xy+5\\\\Combining \ like \ terms\\\\7y^2-2y^2+3xy-3xy-9+5\\\\Adding \ or \ Subtracting\\\\\boxed{\bold{\sf 5y^2-4}}[/tex]
Find the value of (x) 2x + 2(-3x-5)=26
Answer:
x = -9
Step-by-step explanation:
Solve for x:
2 (-3 x - 5) + 2 x = 26
2 (-3 x - 5) = -6 x - 10:
2 x + -6 x - 10 = 26
2 x - 6 x = -4 x:
-4 x - 10 = 26
Add 10 to both sides:
(10 - 10) - 4 x = 10 + 26
10 - 10 = 0:
-4 x = 26 + 10
26 + 10 = 36:
-4 x = 36
Divide both sides of -4 x = 36 by -4:
(-4 x)/(-4) = 36/(-4)
(-4)/(-4) = 1:
x = 36/(-4)
The gcd of 36 and -4 is 4, so 36/(-4) = (4×9)/(4 (-1)) = 4/4×9/(-1) = 9/(-1):
x = 9/(-1)
Multiply numerator and denominator of 9/(-1) by -1:
Answer: x = -9