Answer:
b = 72
Step-by-step explanation:
2b - 62 = b-10
Subtract b from both sides!
b -62 = 10
Add 62 to both sides
b = 72
Step-by-step explanation:
since TUVW is a rectangle, VU = WT
b - 10 = 2b - 62
b = 52
Topic: Properties of polygons
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Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
X+y=4
{
X-y=2
Answer:
The solution to the system of the equations will be:
[tex]x=3,\:y=1[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]x+y=4[/tex]
[tex]x-y=2[/tex]
solving the system of the equations
[tex]\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=4}[/tex]
[tex]-2y=-2[/tex]
solving
[tex]-2y=-2[/tex]
Divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{-2}{-2}[/tex]
[tex]y=1[/tex]
[tex]\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1[/tex]
[tex]x+1=4[/tex]
[tex]x=3[/tex]
Therefore, the solution to the system of the equations will be:
[tex]x=3,\:y=1[/tex]
Two linear functions are shown below. Which function has the greater rate of change? Function A: 4 8 12. y 1 2 3 4 Function B: y= 0.75x - 2
Answer:
Function B
Step-by-step explanation:
✍️Rate of change for Function A:
Using any two pairs from the table of values given, say, (0, 1) and (4, 2):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 -x_1} = \frac{2 - 1}{4 - 0} = \frac{1}{4} [/tex]
Rate of change for function A = ¼ = 0.25
✍️Rate of change for Function B:
Equation for Function B is given in the slope-intercept format, y = mx + b.
m = slope = rate of change.
Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.
Rate of change of Function B = 0.75.
✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.
The function which has a greater rate of change or slope is required.
Function B has a greater rate of change.
Rate of change is given by
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
The ordered pairs for the first function are
[tex](0,1),(4,2),(8,3),(12,4)[/tex]
Slope
[tex]m=\dfrac{2-1}{4-0}=\dfrac{1}{4}=0.25[/tex]
Since, it is a linear equation the slope will be equal for all ordered pairs.
The point slope form of a line is
[tex]y=mx+c[/tex]
where
m = Slope or rate of change
c = y intercept
Here, the equation is
[tex]y=0.75x-2[/tex]
The slope is 0.75.
Function B has a greater rate of change.
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−5.55−8.55c+4.35c ples
Help me and I will give Ten CuPcAkEs
For YoUr TuMmY to DeVoUr
( But be Fast Before I eat them ALL)
Answer: 51
Step-by-step explanation: plug 24 into where X is. 1.5 times 24 is 36 then add the 15 and u get 51.
What are the factors of 7x2 + 25x – 12?
Answer:
Simplify the expression.
25
x
+
2
Step-by-step explanation:
Answer:
(7x-3)(x+4)
Step-by-step explanation:
hope this helps:)
Which point represents the quotient of 3-1?
A
B
C
D
The point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
The quotient is given as:
[tex]Quotient = \frac{3 - i}{i}[/tex]
Rationalize the expression
[tex]Quotient = \frac{3 - i}{i} \times \frac ii[/tex]
Expand the above expression
[tex]Quotient = \frac{3i - i^2}{i^2}[/tex]
Evaluate all exponents
[tex]Quotient = \frac{3i - (-1)}{-1}[/tex]
Remove bracket
[tex]Quotient = \frac{3i +1}{-1}[/tex]
Rewrite the above expression as follows:
[tex]Quotient = -3i -1[/tex]
Further, rewrite as:
[tex]Quotient = -1-3i[/tex]
In the above expression, the real part is -1, and the imaginary part is -3.
This point is represented by point C, because:
[tex]C = (-1,-3)[/tex]
Hence, the point that represents the quotient [tex]\frac{3 - i}{i}[/tex] is (C)
Read more about complex numbers at:
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Find the slope of the line passing through the points (-3, 7) and (2, -6).
Answer:
-13/5
Step-by-step explanation:
=y2-y1/x2-x1
= -6-7/2--3
= -13/5
Given g ( x ) = 2 x + 3 , solve for x when g(x)=3.
Answer:
x = 0
Step by step explanation:
g ( x ) = 2x + 3
If x = 0,
g ( 0 ) = 2 (0) + 3
or, g ( 0 ) = 3
Hope that helped :)
A survey found that 60% of shoppers at My-Way-Store like chocolate ice cream. If 240 boppers like chocolate ice cream, how many people were surveyed?
Answer:
400
Step-by-step explanation:
240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%
Answer:
400
Step-by-step explanation:
60/100 = 240/?
Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)
240 x 100 = 24,000
24,000 divided 60 = 400
400 were survreyed
Timothy has $500. He spends $50 each week on
groceries. Write an equation to find the total amount
of money he has left, y, after x weeks have passed.
Answer:
It takes 10 weeks to spend each $500
Step-by-step explanation:
If he spend $50 each week on groceries, we can say that he spend $100 on groceries every two weeks
To make it to 500 dollars we would have to use the equation 100x5.
This equals to 500
We could also do 100 plus 100 plus 100 plus 100 plus 100.
The equation below represents how much money Addy makes delivering papers. In the equation p represents the number of papers delivered and d represents the money per paper delivered. D = .45p Create a context, a unit rate, and an equation for someone who delivers papers and makes more than both Addy and Rachel.
Step-by-step explanation:
Step one:
we are given the equation for Addy And Rachel's earning as
[tex]D =0.45p[/tex]-------------1
Step two:
Context creation
Say john earns $0.9 per paper he delivers, estimate how much he would earn to deliver 10 papers
let the amount earn be y and the number of papers delivered be x
the equation is
y=0.9x
for x=10
y=0.9(10)
y=$9
We can see that John's unit rate is more than Addy's unit rate
You have eight more dogs than cats. You have 2 fewer chickens than dogs. You have three fewer guinea pigs than cats. If you have a total of 59 pets, write an equation that would help you find how many of each pet you have. Describe what the variable represents (Let __ represent...).
Answer:
read the answers below.
Step-by-step explanation:
d = dog
d = c + 8
ch = chickens
ch = d -2
gp = guinia pigs
gp = c - 3
d + c + ch + gp = 59
gp = c- 3
gp = d -8 - 3
gp = d - 11
d + d-8 + d - 2 + d-11 = 59
4d -8 - 2 - 11 = 59
4d - 21 = 59
4d - 21 + 21 = 59 + 21
4d = 80
4d/4 = 80/4
d = 20
========
c = d - 8
c = 20 - 8
c = 12
========
ch = d - 2
ch = 20 - 2
ch = 18
=========
gp = d - 11
gp = 20 - 11
gp = 9
Pls help i can’t figure this out
Step-by-step explanation:
1°.2°.3°.4°.5°.6°.7°.8°.9°.10°.11°.12°.13°.14°.15°.16°.17°.18°.19°.20°.
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars on her wall
( Brainlyst will help my rank, thanks! <3 )
solve (2x-10)=(65-x) show your work plz!
Answer: x=25
Step-by-step explanation:
Simplifying
(2x + -10) = (65 + -1x)
Reorder the terms:
(-10 + 2x) = (65 + -1x)
Remove parenthesis around (-10 + 2x)
-10 + 2x = (65 + -1x)
Remove parenthesis around (65 + -1x)
-10 + 2x = 65 + -1x
Solving
-10 + 2x = 65 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-10 + 2x + x = 65 + -1x + x
Combine like terms: 2x + x = 3x
-10 + 3x = 65 + -1x + x
Combine like terms: -1x + x = 0
-10 + 3x = 65 + 0
-10 + 3x = 65
Add '10' to each side of the equation.
-10 + 10 + 3x = 65 + 10
Combine like terms: -10 + 10 = 0
0 + 3x = 65 + 10
3x = 65 + 10
Combine like terms: 65 + 10 = 75
3x = 75
Divide each side by '3'.
x = 25
Simplifying
x = 25
Sorry if its too confusing!
WILL GIVE BRAINLIEST.
Find the equation of the line. Use the exact numbers.
Equation: y = __ x + __
Answer:
y=1/2x+4
Step-by-step explanation:
Answer:
y=2x+4
Step-by-step explanation:
change the following number into fraction 1.57 recurring
Answer:
Step-by-step explanation:
1.57
=157/100 answer
Una escalera de 131313 metros está recargada contra una pared cuando su base empieza a resbalar. Cuando la base está a 121212 metros de la pared, se mueve a una razón de 5\text{ m/s}5 m/s5, start text, space, m, slash, s, end text. En ese momento, ¿a qué razón está cambiando el ángulo \thetaθtheta entre el piso y la escalera?
Answer:
El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.
Step-by-step explanation:
Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.
Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:
[tex]\cos \theta = \frac{x}{l}[/tex] (1)
Por diferenciación implícita y la definición de razón de cambio tenemos que:
[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)
Donde:
[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.
[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.
Pero tenemos que el seno del ángulo está definido por:
[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)
Si aplicamos (3) en (2), expandimos la ecuación como sigue:
[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]
[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)
Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:
[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]
[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]
El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.
Ansha drove 45 MPH (miles per hour). How far can she go in 3 hours?
Answer:
135 miles
Step-by-step explanation:
45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.
Which number is greater . 60 or 7.5
Answer:
60 is greater than 7.5.
step by step
the sum of 1 and 3 times a number is 22. write and solve and equation to determine the number. select the solution and graph that represents the number
a) x=4
b) x=6
c) x=7
d) x=9
Answer:
b
Step-by-step explanation:
If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
The sum of 1 and 3 times a number is 22.
Let the unknown number be x
1+3x=22
Now subtract 1 from both the sides
1+3x-1=22-1
3x=21
Divide both sides by 3
x=7
So the solution of sentence sum of 1 and 3 times a number is 22 is 7.
x=7 is the equation of graph that represents the number
Hence x=7 is the equation of graph that represents the number
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help me please 20 points
Answer:
- 8n + 9
Step-by-step explanation:
A - B
= - 3n + 2 - (5n - 7) ← distribute by - 1
= - 3n + 2 - 5n + 7 ← collect like terms
= - 8n + 9 → or 9 - 8n
HEEELLLPP!
This is a test! I need the answer as soon as possible!
Whoever gets it right gets Brainliest!
Answer:
16
Step-by-step explanation:
f(x)=3x^(2)+2x,g(x)=5x-12, find f(2)= 16
HeLp Me pLeASe its due today!!!
Answer:
Should have paid attention in class
Step-by-step explanation:
But the answer is
WILL GIVE BRAINLY!!!! HELP!!!!
Answer:
A is correct, the one you selected
Step-by-step explanation:
Answer:
A is the correct option
Step-by-step explanation:
sorry im a bit late lol
:)
CORRECT ANSWER GETS BRAINLIEST!
A dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
If someone was interested in buying a used car that is about 4 years old, what would be a reasonable price for the car?
$
Answer:
8618 is correct,
give the person above me brainliest.
ED2021
The reasonable price of the car after 4 years will be $8618.
What is regression analysis?Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a dependent variable and one or more independent variables.
Given that a dealership tracks the correlation between the age of its used cars and asking price for a car. The regression line is y = 12,338 – 930x, where x is the age of the car, in years.
The price of the car after 4 years will be calculated as follows:-
y = 12338 - 930x
y = 12338 - ( 930 x 4 )
y = 12338 - 3720
y = $8618
Therefore, the reasonable price of the car after 4 years will be $8618.
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2. Function C takes time for its input and gives a student's Monday class for its output.
a. Use function notation to represent: A student has English at 10:00.
b. Write a statement to describe the meaning of C(11:15) = chemistry.
Answer:
We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.
a) A student has English at 10:00.
Here we can use T = 10:00 as the input, and the output will be the class, English.
Then this can represent this with:
C(10:00) = English.
b) Write a statement to describe the meaning of C(11:15) = chemistry.
for C(11:15) = Chemistry
The input, the time, is 11:15
The output, the class, is chemistry.
The student has a chemistry class at 11:15
what is 8-2(2x +1) +5x PLS HELP ME
Answer:
6+x
Step-by-step explanation:
I used photo math have a great thanksgiving
add 2/3 +-7/11 +-1/4
Answer:
1 73/132
Step-by-step explanation:
GCF of 4, 11 and 3 is 132.
Convert the fractions and add!
Solve the equation 3x = 2x +5.
What can you do to isolate the variable on one side of
the equation?
What is the solution?
Answer:
1. C
2. D
Step-by-step explanation:
In that order