Answer:
The answer would be -4/3x+y=-2/3
Step-by-step explanation:
The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.
-2x +4=8x-6 equations/inequalities
Answer:
x = 1
Step-by-step explanation:
Given
- 2x + 4 = 8x - 6 ( subtract 8x from both sides )
- 10x + 4 = - 6 ( subtract 4 from both sides )
- 10x = - 10 ( divide both sides by - 10 )
x = 1
It took Jill two hours to drive 100 miles. What was her average speed?
Answer:
50 miles per hour
Step-by-step explanation:
Divide 100 by 2
50
Hope this helped :)
If a diameter of a circle has endpoints (-3, 5) and (5, 7), then the center of the circle is
Answer:
The midpoint formula is ( (x1 + x2)/2, (y + y2)/2 ) The answer will be an ordered pair.
(-7 + 5)/2, (3 + 1)/2
(-2/2, 4/2)
(-1, 2)
The center of the circle is at (-1,2)
Yumiko has a rectangular-shaped patio. She wants to double the area of the patio by increasing the length and the width by the same amount.
The length is 14 and the width is 10.
a. Write a function, in factored form, to calculate the number of feet Yumiko would need to add to the length and width.
b. What are the dimensions of the patio, rounded to the nearest hundredth feet?
I am not very good with completing the square and would like to understand it better. Any help would be very appreciated!
Answer:
For a rectangle of length L and width W, the area is:
A = L*W
In this case, we start with:
L = 14ft
W = 10ft
Then the initial area is:
A = 14ft*10ft = 140ft^2
a) Now she wants to increase the same amount in each measure, then the new measures will be:
L = 14ft + x
W = 10ft + x
Now we want this new area to be twice the one that we got before, then the equation will be:
(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.
b) Let's solve the equation:
(14ft + x)*(10ft + x) = 280ft^2
First lets distribute the multiplication:
140ft + x*10ft + 14ft*x + x^2 = 280ft
Now let's group terms with the same power of x.
x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.
x^2 + 24ft*x - 140ft = 0.
Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.
[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]
Then the two solutions are:
x = (-24ft - 33.7ft)/2 = -28.9 ft
This solution is negative, so it does not make sense and we can discard it.
x = (-24ft + 33.7ft)/2 = 4.85ft
This is positive, so we can use this.
Now we can find the new length and width:
L = 14ft + 4.85ft = 18.85ft
W = 10ft + 4.85ft = 14.85ft
The post office is selling 7 cent stamps and 9 cent stamps. If a package requires 43 cents to mail, how many 9 cent stamps will you need?
If a package requires 43 cents to mail, the number of 9 cent stamps that will be needed is 41cent is the value needed.
What is meant by mathematical equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
Identify the question that is being asked. Write the pertinent details in straightforward statements. Give values that need to be discovered symbols. Find the mathematical connections between the assertions.
The most well-known equation in the entire universe is E=mc2. Just like that. It is succinct, elegant, and expresses a phenomenon that is so important that everyone should be aware of it.
Given,
The equation will be:
7x + 9y = 43
7(2) + 9(3) =41
14+ 27 = 41
Since the value that's is gotten not equal to 43
Therefore The value is 41 cent is needed to 9 cent stamps
To learn more about mathematical equation refer to:
https://brainly.com/question/2972832
#SPJ2
Tara has 3/4 cup of ice cream. How many 1/5 -cup servings are in 3/4 cup of ice cream?
Answer:
4/15
Step-by-step explanation:
because 1/5÷3/4=4/15
Eight division two thirds
Answer:
12
Step-by-step explanation:
If you are saying "eight divided by two thirds", it would be written as 8/2/3. 8 would be equal to 8/1 and the rule for dividing fractions is keep change flip, so keep 8/1, change the division to multiplication, and then flip 2/3 to 3/2.
You would get 8/1 * 3/2. 8 multiplied by 3 is 24, 2 multiplied by 1 is 2, therefore, you get 24/2, which simplifies to 12 if you divide by 2.
6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número 4.956 puede escribirse como: 7. Fernando tiene 12 cuadrados de cartulina y Catalina tiene 16. Si ambos disponen sus cuadrados uno aliado del otro, ¿cuál de los dos niños puede formar un cuadrado? 8. Escriba las siguientes cifras como notación científica. Número: Notación científica: 45000000 0,000000000000056 0,000000000034
Answer:
6. Miles [tex]{}[/tex] cientos decenas unidades
4 [tex]{}[/tex] 9 5 6
7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones
8. 45000000 = 4.5 × 10⁶
0.000000000000056 = 5.6 × 10¹⁴
0.000000000034 = 3.4 × 10¹¹
Step-by-step explanation:
6. Los valores posicionales de dígitos son;
Miles [tex]{}[/tex] cientos decenas unidades
4 [tex]{}[/tex] 9 5 6
7. El número de cuadrados que tiene Fernando = 12
El número de cuadrados que tiene Catalina = 16
El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;
largo × ancho = Área del cuadrado
largo = ancho = lado del cuadrado
Lado del cuadrado × Lado del cuadrado = Área del cuadrado
(Lado del cuadrado) ² = Área del cuadrado
Lado del cuadrado = √ (Área del cuadrado)
Para Fernando, Área del cuadrado = 12
Lado del cuadrado para Fernando = √12 = 2 · √3 cartones
Para Catalina, Área del cuadrado = 16
Lado del cuadrado para Catalina = √16 = 4 cartones
Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones
8. 45000000 = 4.5 × 10⁶
0.000000000000056 = 5.6 × 10¹⁴
0.000000000034 = 3.4 × 10¹¹
On her first science test, Whitney scored a 92%. On the second test, she scored an 80%. What is the approximate percent of decrease in her score?
Answer:
Step-by-step explanation:
Decrease = 92 - 80 = 12
Percent of decrease in her score = [tex]\frac{12}{92}*100\\[/tex]
= [tex]\frac{1200}{92}\\[/tex]
= 13.04
= 13 %
Answer:
it would be a 12 percent
Step-by-step explanation:
Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and skectches up the floor plan shown below. The carpet costs $9.50 per square meter. How much will Linda pay for a wall-to-wall carpet for her bedroom?
The image of the floor dimensions is missing, so i have attached it.
Answer:
$88.92
Step-by-step explanation:
Looking at the attached floor plan, we have to divide it into two parts to solve easily.
To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m
Thus,bigger triangle measures; 3.6m x 2.4m
For the smaller triangle, dimensions are; 0.6m x 1.2m
Area of bigger triangle = 3.6 × 2.4 = 8.64 m²
Area of smaller triangle = 0.6 × 1.2 = 0.72 m²
Total area = 8.64 + 0.72 = 9.36 m²
Since the carpet costs $9.50 per sq.m.
Thus;
Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92
What is the relation between 1 and 2?
Answer:
Supplementary and Linear Pair
Step-by-step explanation:
The angles 1 and 2 form 180 degrees. That is the definition of a Supplementary Angle and Linear Pair.
Find the equation perpendicular to y =1/2x - 3 and goes through the point (6, -3).
Perpendicular equations have opposite reciprocal slopes, so any equation perpendicular to the equation y = 1/2 x - 2 would have the slope -2.
Now plug in the point (6, -3) into the equation y = -2x + b to find out what b is.
-3 = -2(6) + b
Multiply -2 by 6.
-3 = -12 + b
Add 12.
9 = b
So the equation is y = -2x + 9
Hope this helps
I need helppp?!
What is the slope of the line??? Please give right answer :(((
Answer:
hello
Step-by-step explanation:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
m = slope
What does the graph look like for y=2x-3
Answer:
It will have a y-intercept of -3 and a rise of 2 and a run of 1.
Step-by-step explanation:
We can use a graphing calculator to help us graph for y = 2x - 3.
Attached below is the graph.
10. Which point is the solution for this System of equation?
Answer:
Our X and Y make (2,-1)
Step-by-step explanation:
To find the point that is the solution for the system of equation, we must use the SUBSTUITION property,
[tex]2x+x-3=3\\[/tex]
Now let's solve this, by adding common terms
[tex]2x+x=3x\\3x-3=3[/tex]
Now we have to isolate the variable,
3x-3=3
Add 3 to both sides (opposite of the current)
3x=6 (DIVIDE three to both sides, to isolate the variable)
x=2 ( We know our x value is 2)
Now let's substitute this value into the Y.
y = 2-3 ( now subtract)
y= -1
Our X and Y make (2,-1)
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answer:
E. Definition of Supplementary Angles
Step-by-step explanation:
Help please! this is critical i need help so bad :(
Which sequence of transformations creates a similar, but not congruent, triangle?
a. Rotation and translation
b. Reflection and rotation
c. Dilation and rotation
d. Translation and reflection
Answer:
I believe that it is A
Step-by-step explanation:
Write each equation/inequality in slope-intercept form.
y- 5 = 1/3 (x-6)
Answer:
Your answer is: y = 1/3x + 3
Use the formula y = mx + b
Step-by-step explanation:
Hope this helped : )
Myles and Darrell are brothers and myles is older. When you square Darrell's age and multiply by 2 and subtract from the square of Myles age the result is 6times the difference between their ages. When add Myles and Darrell's age you get 5times the difference between their ages. How old is Darrell and how old is Myles.
Answer:
Darrell is 12 years old while Darrell is 18 years old
Step-by-step explanation:
Let Myles age be m and Darrell age be d
Single Myles is older, m > d
Square Darrell’s age and multiply by 2; d^2 * 2 = 2d^2
Subtract from the square of Myles age
m^2 - 2d^2
Result is 6 times the difference between their ages;
m^2 - 2d^2 = 6(m-d) •••••••••••(i)
When add Myles and Darrell age
m+ d
you get 5 times the difference between their ages 5(m-d)
m + d = 5(m-d)
m + d = 5m - 5d
5m - m = 5d + d
4m = 6d
m = 6d/4
m = 1.5d or 3/2d ••••••••(ii)
Put ii into i
(3/2d)^2 - 2d^2 = 6(3/2d - d)
9/4d^2 - 2d^2 = 6(1/2)d
Multiply through by 4
9d^2 - 8d^2 = 12d
d^2 = 12d
d^2 - 12d = 0
d(d -12) = 0
d = 0 or d-12 = 0
d = 0 or 12
d = 12 years
The age cannot be zero (if Darrel age is zero, then Myles age will be zero too, this cannot work as their ages are not equal)
So we choose 12 years
Recall ; m = 3/2 d = 3/2 * 12 = 18 years
answer the question(s) will give brainliest if correct
---
thanks
for 2) please explain
Answer:
d=r*2
πtimes the diameter
Step-by-step explanation:
diameter is twice the radius
there is nothing like that
Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?
Step-by-step explanation:
Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:
[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]
Por lo tanto, la primera caja contiene 56 cajas más pequeñas.
Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:
[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]
Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.
Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:
[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]
Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.
La cantidad que quede en la casilla original se expresará como
= 448- (56 + 168 + 224)
= 448-448
= 0
Por lo tanto, no quedó ninguno en la caja original.
If y = -5 when x = 2, find y when x = 8. *
Answer:
y=1
Step-by-step explanation:
you add how many you went to one side
What is the range of the following graph?
Answer: 6
Step-by-step explanation: 8 - 2 = (6) Range is the difference between the highest and lowest number just for future references. Hope this helped! :)
Answer: i think is 8 also that person already explain
Step-by-step explanation: have a nice day
Calculate the median of the following set of numbers.
19, 22, 75, 37, 37, 27, 32, 15, 10
Answer:
37
Step-by-step explanation:
10,15,19,22,27,32,37,37,75
I finished this question but I need someone to check it, thanks
Answer:
Looks good ✋
Step-by-step explanation:
Answer:
it is correct
Step-by-step explanation:
I got 5,432,113,209,876,532
How do you do this. Please someone explain?
Answer: y = (1/2)x-2
This is the same as y = 0.5x-2
Slope = 1/2 = 0.5
Y intercept = -2
========================================================
Work Shown:
Compare the equation to y = mx+b to find that m = -2 is the slope.
Think of -2 as -2/1. Flip the fraction to get -1/2. Then flip to positive getting 1/2.
The original slope is -2. The perpendicular slope is 1/2 = 0.5
We'll use this perpendicular slope alone with (x,y) = (-4,-4) to get the following for b
y = mx+b
-4 = 0.5*(-4) + b ... plug in the m,x, and y values mentioned above
-4 = -2 + b
-4+2 = b ... adding 2 to both sides
-2 = b
b = -2
Since m = 0.5 and b = -2, we go from y = mx+b to y = 0.5x-2
This is the same as y = (1/2)x-2 since 1/2 = 0.5
What percent of 462 is 851?
Answer:
It is 54.29%.
Answer:
54.29
Step-by-step explanation:
Percentage Calculator: 462 is what percent of 851? = 54.29.
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer: B 4,5
Step-by-step explanation:
i need help asap please
Answer:
270mi
Step-by-step explanation:
5.4/2 = 2.7
2.7 * 100 = 270
11037
have fun figuring out what i mean
Answer:
????????????????????
Answer:
I think 11037 is a clue to tell what the murder is
Step-by-step explanation: