Answer:
a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.
Step-by-step explanation:
a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:
Samuel
[tex]\frac{178}{8}\,km = 22.25\,km[/tex]
Martin
[tex]21\,km + \frac{3}{4}\,km = 21.75\,km[/tex]
Santiago
[tex]21\,km + \frac{5}{12}\,km = 21.417\,km[/tex]
Como puede apreciarse, Martín recorrió más distancia.
b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:
Samuel
[tex]x = 29.3\,km -22.25\,km[/tex]
[tex]x = 7.05\,km[/tex]
Martin
[tex]x = 29.3\,km - 21.75\,km[/tex]
[tex]x = 7.55\,cm[/tex]
Santiago
[tex]x = 29.3\,km - 21.417\,km[/tex]
[tex]x = 7.883\,km[/tex]
A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.
c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:
[tex]\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}[/tex]
[tex]\bar x = 21.889\,km[/tex]
La distancia recorrida promedio es 21.889 kilómetros.
d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:
[tex]x = 21.75\,km - 21.417\,km[/tex]
[tex]x = 0.333\,km[/tex]
Martín recorrió 0.333 kilómetros más que Santiago.
Is x=2 a root of (2x-3)(3x + 2)(x+2)(x+2)(x-7/8)?
Answer:
No
Step-by-step explanation:
2x-3 = 0 so x = 3/2
3x+2 = 0 so x = - 2/3
x+2 = 0 so x=-2 (twice)
x-7/8 = 0 so x=7
What is an equation of the line that passes through the points
(
0
,
−
4
)
(0,−4) and
(
−
4
,
6
)
(−4,6)?
Answer:
[tex]y=-\frac{5}{2}x-4[/tex]
Step-by-step explanation:
[tex]slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}[/tex]
[tex]y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4[/tex]
Can someone please help me! Big ideas 8.4 number 20
Answer: The perimeter is about 20.26 units
Step-by-step explanation:
To calculate the distance between the points, we use the formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance
[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis
[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis
For the given points:
B(0,3), C(4,-1), E(2,-3) and F(-2,1)
Calculating the distance BC:[tex]x_2=4\\x_1=0\\y_2=-1\\y_1=3[/tex]
Putting values in above equation, we get:
[tex]BC=\sqrt{(4-(0))^2+(-1-3)^2}\\\\d=\sqrt{16+16}=5.66units[/tex]
Calculating the distance CE:[tex]x_2=2\\x_1=4\\y_2=-3\\y_1=-1[/tex]
Putting values in above equation, we get:
[tex]CE=\sqrt{(2-(4))^2+(-3-(-1))^2}\\\\d=\sqrt{36+4}=4.47units[/tex]
To calculate the perimeter of a rectangle, we use the equation:
[tex]Perimeter=2(l+b)[/tex] ....(1)
where,
l = length of the rectangle = BC = 5.66 units
b = breadth of the rectangle = CE = 4.47 units
Putting values in equation 1, we get:
[tex]Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units[/tex]
Hence, the perimeter is about 20.26 units
Lol this one is hard as hell
Answer:
b
Step-by-step explanation:
triangle B is two units down on the y axis.
if triangle B was not two units down, it would be a mirror image to triangle A across the y-axis.
together it makes a reflection across y-axis as well as translated 2 units down
SATELLITE DISH Suppose the receiver in a parabolic dish antenna is 2 feet
from the vertex and is located at the focus. Assume that the vertex is at the
origin and that the dish is pointed upward. Find an equation that models a
cross section of the dish.
a. x2 = -8y
b. x2 = 2y
c. x2 = 8y
d. y2 = 8x
Answer:
D) [tex]x^{2} =8y[/tex]
Step-by-step explanation:
Because the receiver of the parabolic dish antenna is 2 feet above the vertex, the parabola must be vertical. Therefore, we will use the equation [tex](x-h)^2=4p(y-k)[/tex] where [tex](h,k)[/tex] is the vertex of the parabola and [tex](h,k+p)[/tex] is the focus point. Since we are given that the receiver is 2 feet above the vertex which is located at the focus point and the vertex is [tex](0,0)[/tex] at the origin, then the focus point is [tex](0,0+p)[/tex] where [tex]p=2[/tex]. Therefore, the equation that models a cross section of the dish is [tex]x^{2} = 8y[/tex].
m∠2=(7x−11)∘ and m∠4=(4x+4)∘
What is m∠1 ?
Answer:
Step-by-step explanation:
7x-11=4x+4(being vertically opposite abgles)
7x-4x=4+11
3x=15
x=15/3
x=5
angle 2+angle1=180 degree(being straight line)
7x-11+angle 1=180
7*5-11+angle 1=180
35-11+angle1=180
24+angle 1=180
angle 1=180-24
angle 1=156 degree
PLEASE HELP! What is the slope-intercept equation of the line shown below?
Answer:
y=2x+1
Step-by-step explanation:
y= mx + c
c= 1
m= slope which is -2
y=2x+1
PLS HELP ME FIND WHAT A AND B EQUAL
Answer:
A = 68
B = 44
Step-by-step explanation:
The sum of the angles of a triangle add to 180
A+B+C =180
x + x-24 +68 = 180
Combine like terms
2x+44 =180
Subtract 44 from each side
2x+44-44= 180-44
2x = 136
Divide by 2
2x/2 = 136/2
x = 68
A = x = 68
B = x-24 =44
Answer: I’m confused with A but I’m 100% sure B is 44 I hope this helped
Step-by-step explanation:
Hi! can someone help me find the value of x?
Answer:
x=2
Step-by-step explanation:
Since the angles are equal, the side lengths are equal (isosceles triangle)
12 =6x
Divide by 6
12/6 = 6x/6
2= x
Please help me. I will give brainless.
Answer:
1.
3x+7x+2
=E.10x+2
when x=6
10*6+2
=62
2.
4y+5+2y
=A.6y+5
when y=3
6*3+5
=23
3.
9+x+4x
=E.5x+9
when x=8
5*8+9
=49
4.
8y+3+4y
=S.12y+3
when y=4
12*4+3
=51
5.
9x+5+x+8
=E.10x+13
when x=7
10*7+13
=83
6.
4y+8y+6+2y
=A.14y+6
when y=2
14*2+6
=34
7.
4x+2y+7x+3
=E.11x+2y+3
when x=3 &y=4
11*3+2*4+3
44
8.
8+3x+x+5y
=B.4x+5y+8
when x=8,y=5
4*8+5*5+8
=65
9.
9x+6y+5x+4y
=U.14x+10y
when x=7,y=9
14*7+10*9
=188
10.8+6x+4+8y
=H.6x+8y+12
when x=1,y=6
6*1+8*6+12
66
11.
3x+2y+4+9y
=H.3x+11y+4
when x=8,y=4
3*8+11*4+4
72
12.
4x+5y+7x+5+2y
=E.11x+7y+5
when x=2,y=3
11*2+7*3+5
=48
13.
9+8x+3y+3+5y
=C.8x+8y+12
x=7,y=5
8*7+8*5+12
=108
14.
x+6x+2y+1+9y
=F.7x+11y+1
when x=6,y=9
7*6+11*9+1
=142
15.
6x+2y+5y+7+y
=H.6x+8y+7
when
x=8,y=1
6*8+8*1+7
=63
16.
8x+8y+x+6y+4x
=S.13x+14y
when x=1,y=2
13*1+14*2
=41
17.
3x+8+4y+7+3x
=C.6x+4y+15
whenx=9,y=6
6*9+4*6+15
=93
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
.-La familia Juárez es parte de nuestra comunidad educativa, tiene cuatro integrantes; la mama se dedica al comercio y gana S/1000 mensuales, el papa gana semanalmente S/400. Y gastan de la siguiente manera: atentación S/250 por persona; vestimenta S/40 por persona; en servicios de agua y luz S/30 y S/100, respectivamente; paquete de teléfono, internet y cable S/120; gas S/40; alimentación para gallinas S/15 cada mes e higiene personal S/ 20 por persona. Además, en esta situación de pandemia compran cada mes un Kit de Bioseguridad compuesto por: 4 mascarillas de tela, a S/10 cada una; 4 litros de alcohol, a S/8 cada uno, y 3 litros de lejía, a S/5 cada uno. ¿Cuál será el presupuesto mensual de la familia si además recibe S/10 por venta de una docena de huevos? ¿A cuánto asciende el gasto mensual por persona?
Answer:
a) 201s / 1000
b) 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2
Step-by-step explanation:
Total de miembros de la familia = 4
Ganancia de la madre = s / 1000 por mes
Ganancia del papa = s / 40 por semana
Ganancia por venta de huevos = s / 10
Ganancia total por mes = s / 1000 + s / 40 * 4 + s / 10 = s / 1000 + s / 10 + s / 10 = 201s / 1000
Gasto-
Servicio - S / 250 * 4 = 4s / 250
ropa - 4S / 40
servicios de agua - 4S / 30
Electricidad - 4S / 100
paquete de teléfono, internet y cable - S / 120
gas - S / 40
alimento para pollos - S / 15 cada mes
higiene personal 4S / 20
4 mascarillas de tela - 4S / 10
4 litros de alcohol - 4 S / 8
3 litros de lejía - 3S / 5
Gastos totales = 2s / 125 + s / 10 + 2s / 15 + s / 25 + s / 120 + s / 40 + s / 15 + s / 5 + 2s / 5 + s / 2 + 3S / 5
Gasto total = 7s / 125 + s / 10 + 7s / 5 + s / 30 + s / 2
Subtract. write the difference in simplest form (5n - 3) - (-2+7)
find the other x-intercept for the parabola defined by this equation y=2x2+3-2
Answer:
( [tex]\frac{1}{2}[/tex], 0 )
Step-by-step explanation:
To find the x- intercepts let y = 0, that is
2x² + 3x - 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 2 = - 4 and sum = + 3
The factors are + 4 and - 1
Use these factors to split the x- term
2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )
2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term
(x + 2)(2x - 1) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
The x- intercepts are (- 2, 0 ), ( [tex]\frac{1}{2}[/tex], 0 )
Mr. Flourdust is a baker. Today he is making apple pies.
He has 12 bags of apples, with 6 apples in each bag.
He uses 6 apples for each pie.
How many apple pies can Mr. Flourdust make?
Answer:
12 apple pies
Step-by-step explanation:
If he uses 6 apples for each pie and he has 12 bags of apples with 6 apples in each bag, then we can infer that each bag is one pie.
So, 1x12 = 12 apple pies
Hope this helped :)
. A worker takes 5 hours to make 300 dayas.
a) How long will the worker take to make in:
i) 45 dayas
Answer:
45
Step-by-step explanation:
5*60=300 minutes
300/300=1
means he makes 1 in one minute
so 45 for 45
Question in Image answer with explanation please added 20 points
Answer:
$117,351 JMD
Step-by-step explanation:
It is simple. 1 US dollar is 150.45 JMD, so 780 US dollars should be:
780 * 150.45 = 117,351
Step-by-step explanation:
$1US dollar=$150.45JMD
$780US dollars=?
=$150.45×$780
=$117,351
2. If this pattern continues, what should be the value of 50 ?
Answer:
it should be 50 100 150 200 250 300....
the answer in the problem is 0.75
Answer:
0.75
Step-by-step explanation:
you said it was 0.75
Meena finds some nickels and quarters under the couch cushions. How much money (in cents) does she have if she has 8 nickels and 6 quarters? How much money (in cents) does she have if she has n nickels and q quarters?
Answer:
$.40 cents in nickels and $1.50 (or 150 cents) in quarters in total she would have $1.90 in cents he would have 190 cents in total
Step-by-step explanation:
you would do 8x5 to get 0.40 cents and then do 6x25 to get $1.50 so she will
PLZ HELP I THINK ITS NONE
Answer:
its none
Step-by-step explanation:
Answer:
none of these answers are correct.
Given the right triangle below, if AB = 4 and BC = 4, find AC.
By using Pythagorean's theorem we will find that the measure of AC = 5.66 units.
How to find the missing side of the right triangle?Remember that for any right triangle with an hypotenuse H and two legs A and B, the Pythagorean theorem says that:
A^2 + B^2 = H^2
Here we know that:
AB = 4
BC = 4
Because these two have the same length, we know that these two must be the legs, then AC (the side we want to find) is the hypotenuse.
Then we can write:
4^2 + 4^2 = AC^2
16 + 16 = AC^2
√(16 + 16) = AC
√32 = AC
5.65 = AC
The measure of the hypotenuse of the right triangle is 5.66 units.
Learn more about right triangles:
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Mike is completing an ORDER OF OPERATION question with the following expression 7(a-b). What is true about this problem? ,a.) It can be simplified into 3 + 4a - b, b.) It can be simplified into 7a - b, c.) It can be simplified into 7ab, d.) It cannot be simplified from its current state e.) It can be simplified to 7a - 7b
Answer:
e.
Step-by-step explanation:
it can be simplified to 7a-7b
4x-3=2x+7
2x+6=7x-14
what statement best describes the function below f(x)=x3-x2-9x+9
Answer:
It is a many-to-one function.
Step-by-step explanation:
On the interval (r, 7), at which x-value is the average rate of change 56?
х
3
4
5
6
6
7
12
24
28
96
192
Reset
Next
21 Edmentum. All rights reserved.
Mrs. Townsend had 29 feet of fabric.
Step-by-step explanation:
29/8= 3.625
It lies between 3 and 4
Hope this helped!
Answer:
Between 3 and 4 pieces of fabric.
Step-by-step explanation:
29/8 is equal to 3.625, which you can round up to 4 or round down to 3, since they are both the nearest whole numbers to 3.625.
15 cm equals_____ mm
Answer:
I the answer would be 150 millimeters.
=================================================
Work Shown:
1 cm = 10 mm
15*(1 cm) = 15*(10 mm) ...... multiplying both sides by 15
15 cm = 150 mm
970 grams decreased by 15.1 per min. How many grams are remaining after 14 minutes
Answer: 98.1
Step-by-step explanation:
Given: mass= 970 gm
Time = 14 min
rate of decay= 15.1% per minute.
Now, computing to get amount of element remaining after 14 minutes.
Formula; Element remaining=
Element remaining=
⇒ Element remaining=
⇒ Element remaining= ≅ 98.1 (nearest 10th of a gram)
∴ 98.1 element is still remaining after 14 minutes.
Answer:
98.1
Step-by-step explanation:
source: https://brainly.com/question/14231923
credit: jitushashi120
An animal shelter has three kinds of Labrador Retrievers: yellow, brown, and black. They have
both male and fomae in all of the colors. What is the probability of picking a female yellow Labrador
Retriever?
Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
The length of each side of the square is (3x-2) units
The dimensions of the rectangle are (5x + 4y) and (5x -4y) units
Factoring an expressionFrom the question, we are to factor out the given expression for the area of the square
The expression is
9x² − 12x + 4
Factoring
9x² − 12x + 4
9x² −6x -6x + 4
3x(3x -2) -2(3x-2)
(3x -2)(3x -2)
Hence, the length of each side of the square is (3x-2) units
Part B:
The given expression is
25x² − 16y²
Factoring
25x² − 16y²
By difference of two squares, we get
(5x + 4y)(5x -4y)
Hence, the dimensions of the rectangle are (5x + 4y) and (5x -4y) units
Learn more on Factoring an expression here: https://brainly.com/question/11660720
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