Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
2x + 4y = 56 ( subtract 2x from both sides )
4y = - 2x + 56 ( divide through by 4 )
y = - [tex]\frac{1}{2}[/tex] x + 14 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
• Parallel lines have equal slopes
then the slope of a parallel line is - [tex]\frac{1}{2}[/tex]
Slope of a line is the change in y coordinate with respect to the change in x coordinate.
The equation in the question is given in the slope intercept form, which is
y=mx+c (where m=slope of the line & c= y-intercept).
To find slope of the given line,
2x+4y=56
4y=56-2x
y=[tex]\frac{56-2x}{4}[/tex]
y= [tex]\frac{56}{4} -\frac{2x}{4}[/tex]
y=[tex]14-\frac{1}{2} x[/tex]
or y=[tex]-\frac{1}{2} x+14[/tex]
On comparing with y=mx+c,
Slope of the line 2x+4y=56 is m=[tex]-\frac{1}{2}[/tex].
Now to find the slope of the parallel line, we use the property of the parallel lines which have same inclination with positive x-axis and their slopes are equal.
Therefore, the slope of line parallel to line 2x+4y=56 is [tex]-\frac{1}{2}[/tex].
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A wedding planning business is setting up for an event. They are expecting 120 guests to participate. The manager at the reception center says that there are two options for the size of the tables. Small tables seat 2 people and large tables seat 6 people. An equation that could be used to find the combination of large and small tables needed for the event is 2x+6y=120. Here is a graph of the equation.
You may select more than one answer:
If the wedding planner chose to use small tables only, then 20 tables would be needed.
If 15 small tables are used, 15 large tables will be needed.
If 5 fewe large tables are used, 15 more small tables would be needed.
If 30 small tables are used, 5 large tables would be needed.
If no large tables are used, 60 small tables would be needed.
`suppose it took jacques 85 days to read the novel he read the same number of pagers per day
The number of pages that Jacques read per day is 7 pages.
How to calculate the number of days?From the information, Jacques has 595 pages of book to read and it took him 85 days to read the novel.
The number of pages will be the entire pages divided by the number of days used. This will be:
= Number of pages / Number of days
= 595 / 85
= 7
Therefore, Jacques read 7 pages per day.
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Jacques has 595 pages of book to read. Suppose it took Jacques 85 days to read the novel, how many number of pages did he read per day.?
Kim needs 10 cups of apple juice for a recipe. How many quarts does she need? 2 cups (c) =1 pint (pt) 2 pt =1 quart (qt) 4 qt =1 gallon (gal)
Answer: 2 quarts 1 pint
Step-by-step explanation: Kim needs 10 cups of apple juice 2 cups are 1 pint so that makes it already 5 pints so now we need to turn the 5 pints into quarts so 2 quarts is what we have but we have some left over we have 1 pint left so we have 2 quarts and 1 pint, we could always convert the pint into a fraction depends on how or what way your teacher wants it wrote
Sarah earns $48 a week babysitting.
She saves all of her earnings for 6 weeks. Estimate to
determine about how much money Sarah saves.
Solve this problem using any strategy you choose.
Answer:
Sarah saves $288.
Step-by-step explanation:
$48 per week.
For 6 weeks you would do:
48 × 6 = 288.
So Sarah saves $288 over 6 weeks.
Please mark Brainliest
Answer: $288
Step-by-step explanation:
It says she earns $48 per week, and she does it for 6 weeks.
So this is just 48*6
Another way is 48/1=x/6 Where you just cross multiply
So x=48*6=288
write the new coordinates after the triangle is rotated 180 degrees counterclockwise about the origin.
For the new coordinates of point A, that is A' = (x', y'), we have:
x' = 2 . cos (180º) = 2 . (-1) = -2
y' = 10 . cos (180º) = -10
The same happens to the other points. So, for B we have :
x' = 3 . (-1) = -3
y' = -4 . (-1) = 4
And for C:
x' = -3 . (-1) = 3
y' = 1 . (-1) = -1
Therefore, the new coordinates will be:
A'(-2, -10)
B'(-3, 4)
C'(3, -1)
GET 20 PONITS IF U HELP ASAP
Decide which sprinter is running faster per second:
Sprinter A: 1.4 feet in 3 seconds
Sprinter B: 2.8 feet in 5 seconds
Answer:
Sprinter B is going faster.
Step-by-step explanation:
Sprinter A is moving at a rate of 1.4 feet every 3 seconds, or about 0.47 feet every second.
Sprinter B is moving at a rate of 2.8 feet every 5 seconds, or 0.56 feet every second.
Therefore, Sprinter B is moving at a quicker pace.
Answer: The answer is Sprinter B.
Step-by-step explanation:
First I did 2.8 / 5 = .56 secs.
for the A
B I did 1.4 / 3 = .47 secs
So, B is the faster sprinter.
Amy, ravi, and bob have a total of $127 in their wallets. bob has 4 times what ravi has. ravi has $7 less than amy. how much do they have in their wallets
Amy has $ 27, Bob has $ 80 and Ravi has $ 20 amounts in their wallets.
Finding unknown quantity using Linear Equation:
A mathematical statement used to find an unknown quantity in a given problem is known as a Linear Equation. Here to represent the unknown quantity we will use variables like x, y, and so on.
Here we have,
Amy, Ravi, and Bob have a total of $127 in their wallets.
Since we don't know the amount of each person we represent them with different variables
Let 'a' be Amy's amount
'b' be Bob's amount
'r' be Ravi's amount
Then the total amount a + b + r = 127 -----(1)
Given that,
Bob has 4 times what Ravi has
=> b = 4r ----(2)
Ravi has $7 less than Amy
=> r = a - 7 ----(3)
From (2) and (3)
b = 4(a - 7)
b = 4a - 28 ----(4)
Now substitute (3) and (4)
=> a + 4a - 28 + a - 7 = 127
=> 6a - 35 = 127
=> 6a = 162
=> a = 27
From (3)
r = a - 7 = 27 - 7 = 20
From (2)
b = 4r = 4(20) = 80
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Cada año escolar, los estudiantes de 7º grado que estudian Ciencias de la Vida participan en una excursión especial al zoológico de la ciudad. En 2010, la escuela pagó $1260 para que 84 estudiantes ingresaran al zoológico. En 2011, la escuela pagó $1,050 para que 70 estudiantes ingresaran al zoológico. En 2012, la escuela pagó $1,395 para que 93 estudiantes ingresaran al zoológico. ¿El precio que paga la escuela cada año en derechos de ingreso es proporcional al número de estudiantes que ingresan a la escuela? una. ¿Zoo? b. Explica por qué o por qué no. C. Identifique la constante de proporcionalidad y explique lo que significa en el contexto de esta situación. d. ¿Cuánto pagaría la escuela si 120 estudiantes entraran al zoológico? ¿Cuántos estudiantes entrarían al zoológico si la escuela pagara $1,425? mi‘Doy una corona y 5 corazones de branly
a) El coste total es directamente proporcional al número de estudiantes.
b) Existe una relación directa entre el coste total y el número de estudiantes al existir una constante de proporcionalidad.
c) La constante de proporcionalidad tiene un valor de 15 y representa el precio de ingreso de cada estudiante al zoológico.
d) El coste total por 120 estudiantes es $ 1,800. 95 estudiantes cuestan $ 1,425.
Cómo analizar relaciones de proporcionalidad directa entre dos variables
a) Sea y el coste total pagado para una excursión en el zoológico de la ciudad, en pesos, y x el número de estudiantes que visita el zoológico. Existe una relación directa entre las dos variables si la siguiente expresión es satisfecha:
y = k · x
Donde k es la constante de proporcionalidad, en pesos por estudiante.
A continuación, comprobamos si la relación de proporcionalidad directa existe:
Año 2.010
k₁ = 1260 / 84
k₁ = 15
Año 2.011
k₂ = 1050 / 70
k₂ = 15
Año 2.012
k₃ = 1395 / 93
k₃ = 15
Puesto que k₁ = k₂ = k₃, el coste total es directamente proporcional al número de estudiantes.
b) Existe un relación de proporcionalidad directa debido a la existencia una única constante de proporcionalidad.
c) La constante de proporcionalidad es igual a 15 y representa el costo por estudiante.
d) Si sabemos que y = 15 · x y x = 120, entonces el coste total es:
y = 15 · 120
y = 1800
El coste total es de $ 1,800.
Ahora, si sabemos que y = 15 · x, y = 1,425, entonces el número de estudiantes que ingresan es:
1,425 = 15 · x
x = 1,425 / 15
x = 95
95 estudiantes tienen un coste total de $ 1,425.
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The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $63. How much is each allowance?
The difference between your monthly allowance and your friend's monthly allowance. The monthly allowance for you and your friends is $35 and $28.
Given that,
The tape diagram illustrates the difference between your monthly allowance and your friend's monthly allowance. The entire monthly allowance is $63.
We have to find what does each allowance cost.
The 9 parts represent $63 so each part represent
$63/9
7
Then,
The monthly allowance is
$7×5=$35
The monthly allowance for your friends is
$7×4=$28
Therefore, The monthly allowance for you and your friends is $35 and $28.
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Find the area and perimeter of each polygon. Show your work
Given
To find: The area and the perimeter of the given polygon.
Explanation:
It is given that,
The perimeter of the polygon (rectangle) is,
[tex]\begin{gathered} P=2(l+b) \\ =2(14+5) \\ =2\times19 \\ =38mm \end{gathered}[/tex]The area of the polygon is,
[tex]\begin{gathered} A=l\times b \\ =14\times5 \\ =70mm^2 \end{gathered}[/tex]Hence, the area of the polygon is 70mm² and the perimeter of the polygon is 38mm.
What is the equivalent exponential expression for the radical expression below? 5 A. 52 B. 5 C. 51/2 D. 2.5
Answer:B) 5
Step-by-step explanation:
Fatoumata has a points card for a movie theater. she receives 70 rewards points just for signing up. she earns 12.5 points for each visit to the movie theater. she needs at least 165 points for a free movie ticket. what is the least number of visits she needs to make in order to earn a free movie ticket?
what are the two types of function used to form the rational function ?
find the minimum cost of a rectangular box of volume 170 cm3 whose top and bottom cost 8 cents per cm2 and whose sides cost 9 cents per cm2.
Therefore the minimum cost of a rectangular box of volume is x = 4.641588834 cents.
What is the volume of cuboid?A cuboid is a six-faced solid known as a hexahedron in geometry. Four-sided quadrilaterals make up its faces. A cuboid is a hexahedron, a solid with six faces, and the word "cuboid" means "like a cube" in the sense that a cuboid can become a cube by changing the length of its edges or the angle between its faces and edges. Four-sided quadrilaterals make up its faces. A cuboid can be made to look more like a cube by varying the lengths of its edges or the angles between its faces and edges. A cuboid's volume is equal to the sum of its length, breadth, and height. The opposite faces of a cuboid on a rectangular cuboid are equal, and all the angles are at right angles.
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The average male burns about 100 calories per mile walked and 140
calories per mile jogged. Using x to represent the miles walked and
to represent the miles jogged, write a linear inequality modeling the
number of miles a man should walk and jog in order to burn at least 500
calories.
The required linear equation is 100x + 140 y = 500.
What is a linear equation?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero. This implies that you can come up with a ton of these equations. Solution: It is possible to write 2x + 3y = 4.37 as 2x + 3y - 4.37 = 0.
Let the miles walked be represented by x
and the y would represent miles jogged
Thus the equation would become :
100 x + 140 y = 500
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Which equation shows that the sum of x and 2 is twice as much as 6?
A. x=2×2×6
B. x+2 × 2=6x
C. 2(x+2)=62
D. x+2=2 × 6x
whoever gets it right will get brainliest
The equation for the given statement is (x + 2) = 2 × 6.
We have to find the equation of the given statement:
As the sum of x and 2 is equal to twice as much as 6.
So from the above, we have an equation
(x + 2 ) = 2 × 6
After removing the bracket part on the left side and multiplying at the right side we have:
x + 2 = 12
Now we have the value of x.
x = 10
Therefore the equation is (x + 2) = 2× 6.
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2+2+5+6+7+8+9+0+8+9+8+7+8+9
Answer:
88
Step-by-step explanation:
you add all of them together
answer the answer is 88
Step-by-step explanation:
add two at a time then add all answers togher and u get 88
The relative growth rate r of a function f measures the change in the function compared to its value at a particular point. It is computed as r(t)=
f′(t)
f(t). A logistic growth model for a certain population with a base population of 6 individuals, carrying capacity of 15 individuals, and a base growth rate of 0.025 is shown below. Complete parts (a) through (c).
P(t)=
90
6+9e−0.025t
Question content area bottom
Part 1
a. Is the relative growth in 1999 (t=0) for the logistic model of the above population equal to r(0)=
P′(0)
P(0)=0.013 (rounding to three decimal places)? This would mean that the population was growing at 1.3% per year.
Yes
Yes
No
No
Your answer is correct.
Part 2
b. Compute the relative growth rate of the population in 2005 and 2020. What appears to be happening to the relative growth rates as time increases?
r(6)=enter your response here
r(21)=enter your response here
(Round to four decimal places as needed.)
Answer: 2
Step-by-step explanation: If you add the chetes value of 6 x6 x88 v6
Please answer as soon as you can.
Answer:
x > -4
Step-by-step explanation:
Please heart!
Identify ALL solutions to the inequality. There could be more than one selection.
Answer:
Step-by-step explanation:
-3 or 0
Answer:
-3 and 0
Step-by-step explanation:
the inequality states that 11 is greater than x. That means anything less than 11 can be x
-3 is less than 11 so that can be x
0 is less than 11 so that can be it.
11 is 11 and x is not equal to 11, so that’s not the answer
16 is greater than 11 so it can’t be x
It's an rsm problem I really need help
The simplified expression in the question is x^4y^4
Simplification of ExpressionSimplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. The process entails collecting like terms, which implies adding or subtracting terms in an expression.
In the given expression, x^2y * (-xy) * (-xy^2)
Let's solve this algebraic expression and determine the value;
[tex]x^2y*(-xy)*(-xy^2) = [x^2*(-x)*(-x)] * [y * y * y^2] = x^4y^4[/tex]
The expression is x^4y^4
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PLEASE HELP ASAP
Two clocks are turned on at the same time. One clock chimes every 15 minutes. The
other clock chimes every 25 minutes. In how many minutes will they chime together?
Answer:
In 75 minutes, both clocks will chime together.
Step-by-step explanation:
All you have to do is find the least common multiple of 15 and 25.
Multiples of 15:
15 x 1 = 15
15 x 2 = 30
15 x 3 = 45
15 x 4 = 60
15 x 5 = 75
Multiples of 25:
25 x 1 = 25
25 x 2 = 50
25 x 3 = 75
25 x 4 = 100
25 x 5 = 125
If you compare the two, you’ll find that 15 and 25 have a least common multiple of 75. So, in 75 minutes both clocks will chime at the same time
I have multiple questions!!
1) 3+x= -1/3
2) x+5 =-4/7
3) x/4 = -8
4) -4x =-5/6
THANKSS!!
Answer:
1: x = − 10/3
2: x = − 39/7
3: x = −32
4: x = 5/24
Translate the following statement into a mathematical equation:Five times a number, minus three, is twelve.5(n - 3) = 125n - 3 = 125 - 3n = 125n = 12 - 3
Explanation
Step 1
let n represents the number
so,
Five times a number
[tex]5\cdot n=5n[/tex]hence
Five times a number, minus three
[tex]5n-3[/tex]"is" can written as equal (=),so
Five times a number, minus three, is twelve.
[tex]5n-3=12[/tex]I hope this helps you
I need this solved with work shown.
Base = 17 inches
Height = 12 inches
In the given figure, the shaded region is a triangle,
So, Area of a Triangle = 1/2 x base x Height
⇒ Area of a Triangle = 1/2 x 17 x 12
⇒ Area of a Triangle = 17 x 6
⇒ Area of a Triangle = 102 square inches.
What is a Triangle?Having three straight sides and three angles, a triangle is a flat figure.In Euclidean space, the total of a triangle's internal angles is always 180 degrees. The parallel postulate of Euclid is comparable to this fact. By using the measurements of the first two angles, it is possible to calculate the size of the third angle in any triangle. An angle that is a linear pair (and thus supplementary) to an interior angle is the outside angle of a triangle. The exterior angle theorem states that the measures of two inner angles that are not contiguous to each other add up to the measure of an exterior angle of a triangle. Any triangle's three outside angles, one for each vertex, add up to a total of 360 degrees.To learn more about Triangles, refer to:
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Label the four quadrants on this graph
Answer:
Top Left - 2
Top Right - 1
Bottom Left - 3
Botton Right - 4
Step-by-step explanation:
which rule yields the dilation of the figure cdef centred at the origin
The rule that yields the dilation of the figure CDEF centered at the origin is- (x, y) ⇒ (4x, 4y)
Here, we are given 2 quadrilaterals CDEF and C'D'E'F' as shown in the figure below.
We can see that the vertices of CDEF are-
C(-2, -1), D(-2, 0), E(2, 2), and F(2, 1)
Similarly, the vertices of C'D'E'F' are-
C'(-8, -4), D'(-8, 0), E'(8, 8), and F'(8, 4)
Now, let us compare the coordinates of the two quadrilaterals.
C'(-8,-4) and C(-2,-1)
here, we can observe that -8/-2 = -4/-1 = 4
Similarly, for E'(8,8) and E(2,2)-
8/2 = 8/2 = 4
Thus, we observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and such is the case for all of the coordinates.
Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is- (x, y) ⇒ (4x, 4y)
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Your question was incomplete. Check for the full content below-
Which rule yields the dilation of the figure CDEF centered at the origin?
A) (x, y) → (4x, 4y)
B) (x, y) → (0.25x, 0.25y)
C) (x, y) → (x + 4, y + 4)
D) (x, y) → (x + 0.25, y + 0.25)
Write each fraction in its
simplest form.
24/32
18/4
Answer:
Change Mixed fraction to improper fraction 2/9
Answer:
3/4
1 1/2
Step-by-step explanation:
24/32 are factors of 8. If you decided both by 8 it would be 3/4.
18/4 18 is a factor of 4. divide 18 by 4 and you get 6/4. Simplify that to a mixed fraction and you get 1 1/2.
$11.49 for 3 packages
Answer:
3.83
Step-by-step explanation:
11.49 divided by 3 is 3.83
This is urgent I’ll brainlist u !!!!
Answer:
Q9:D
Q10:B
Step-by-step explanation:
Q9:for two graphs to be perpendicular, the product of their gradients has to be -1
multiplying the gradients of the equation in the question and the equation in option "D", we get -1 hence D is correct
