Answer:
First, find the time when Jackie and her friend meet.
Using:
[tex]\sf s=ut+\dfrac12at^2[/tex]
where:
s = displacementu = initial velocitya = accelerationt = time (in hours)Jackie and her friend are not accelerating, so a = 0, which means the formula can be reduced to:
[tex]\sf s=ut[/tex]
Create equations
Jackie: [tex]\sf s_1= 3t[/tex]
Friend: [tex]\sf s_2 = 12t[/tex]
As the distance covered by Jackie and her friend at the time they meet equals 3 miles:
[tex]\sf s_1+s_2=3 \ miles[/tex]
[tex]\sf \implies 3t + 12t = 3[/tex]
[tex]\sf \implies 15t = 3[/tex]
[tex]\sf \implies t = 0.2 \ hr[/tex]
[tex]\sf \implies t=0.2 \times 60=12 \ mins[/tex]
Therefore, they meet 12 mins after they both start moving.
3 mph = 3 ÷ 60 = 0.05 miles per min
12 mph = 12 ÷ 60 = 0.2 miles per min
Therefore,
Jackie traveled: 0.05 x 12 = 0.6 miles
Her friend traveled: 0.2 x 12 = 2.4 miles
when they meet.
To find the speed Jackie's brother must walk to catch up with her at the same time she meets her friend, use s = 0.6 miles (as this is the distance Jackie walked) and t = 12 - 4 = 8 mins (since he left 4 mins after Jackie left):
[tex]\sf s=ut[/tex]
[tex]\sf \implies u = \dfrac{s}{t}[/tex]
[tex]\implies \sf u = \dfrac{0.6}{8}[/tex]
[tex]\implies \sf u = 0.075 \ miles \ per \ min[/tex]
[tex]\sf \implies u = 0.075 \times 60 = 4.5 \ mph[/tex]
So Jackie's brother needs to walk faster than 4.5 mph to catch up with Jackie before she meets her friend.
(If he walks at 4.5 mph, he will catch up to Jackie at the instant she meets her friend. If he walks slower than 4.5 mph, he will not catch up with Jackie before she meets her friend).
Find the differential of
f
(
x
,
y
)
=
x
2
+
y
3
at the point
(
2
,
1
)
.
[tex]f(x,y)=x^2+y^3\implies \left.\cfrac{}{} 2x+3y^2 \right]_{\stackrel{\textit{\small x=2}}{\textit{\small y=1}}}\implies 2(2)+3(1)^2\implies 7[/tex]
what is the area of a circle with a circumference of 250
also I lost some of my friends on here and I cant find them and I haven't seen them since June :(
What expression is equivalent to (x^4/3 x^2/3) ^1/3
Answer:
(x^4/3x^2/3)^1/3
using the power of powers rule (multiply the exponents)
x^(4/3*1/3) x^(2/3* 1/3)
x^ (4/9) ( x^ 2/9)
when multiply exponents, add
x^ (4/9 + 2/9)
x^ (6/9)
x^ (2/3)
Two parents were shopping online for
new clothes for their kids. One mom
spent $26.50 on 3 shirts and 1 pair of
pants. Another mom spent $42 on 4 of
the same shirts and 2 of the same pairs
of the same pants. What was the cost
of each shirt and pair of pants?
Answer:
Shirt= $5.50
Pant=$10
Step-by-step explanation:
Let's shirt be 'x' and pant be 'y'
=}. 3x + y = $26.50
4x + 2y = $42
=}. 3x + y = $26.50
2x + y = $21. ( then first term minus
second term )
=}. x = $ 5.50
Now, y = $26.50 - 3x
= $26.50 - 16.50
= $10
Thx I hope it will be helpfulFind the x- and y-intercepts of y=−x/2−1.
Step-by-step explanation:
y = -x/2 - 1
the y-intercept is right there : -1.
it is the y-value when x = 0
the point of y-intercept is therefore (0, -1).
the x-intercept is the other way around. it is the x- value when y = 0.
0 = -x/2 - 1
1 = -x/2
-2 = x
the point of x-intercept is therefore (-2, 0)
75 POINTS IF U GET THIS CORRECT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! James has a collection of 20 miniature cars and trucks. Cars make up 40% of the collection. If James adds only cars to his collection, how many cars must he add to make the collection 75% cars?
Answer:
28 cars
Explanation:
cars + trucks = 20Let "n" be the cars added in the collection
cars : 20 * 40% = 8 carstrucks : 20 - 8 = 12 truckssolve:
[tex]\rightarrow \sf \dfrac{8+n}{20+n} =75\%[/tex]
[tex]\rightarrow \sf {8+n} =(20+n)75\%[/tex]
[tex]\rightarrow \sf {8+n} =15+0.75n[/tex]
[tex]\rightarrow \sf {8-15} =0.75n-n[/tex]
[tex]\rightarrow \sf -7 =0.25n[/tex]
[tex]\rightarrow \sf n = 28[/tex]
Thus, he needs to add 28 cars in the collection to make the collection 75% cars.
Answer:
28 cars
Step-by-step explanation:
Total number of cars and trucks = 20
Cars make up 40% of the collection
⇒ Number of cars = 40% of 20
= 0.4 x 20
= 8 cars
⇒ Number of trucks = total collection - number of cars
= 20 - 8
= 12 trucks
To calculate how many cars must be added to make the collection 75% cars, set up a ratio equation with x being the number of cars to be added:
(Added cars + existing cars) to total collection = 75%
⇒ x + 8 : x + 8 + 12 = 75 : 100
⇒ x + 8 : x + 20 = 75 : 100
[tex]\sf \implies \dfrac{x+8}{x+20}=\dfrac{75}{100}[/tex]
⇒ 100(x + 8) = 75(x + 20)
⇒ 100x + 800 = 75x + 1500
⇒ 100x -75x = 1500 - 800
⇒ 25x = 700
⇒ x = 28
Therefore he would need to add 28 cars to his collection to make his collection 75% cars.
Check
Number of cars = 8 + 28 = 36
Number of trucks = 12
Total collection = 36 + 12 = 48
Number of cars / total collection = 36/48 = 0.75 = 75%
Find the average of this set of numbers.28, 26, 21, 13
A) 22
B) 20
C) 19
D) none of the above
Answer:
A
Step-by-step explanation:
26 + 28 = 54
54 + 21 = 75
75 + 13 = 88
88 / 4 = 22
Answer is A
Answer: 22
Step-by-step explanation: Add all of the numbers in the data set: 28+26+21+13= 88
Then divide 88 by 4: 22
State the following numbers using '+' or '_'.
(a) 80 less than zero
=
(b) 76 more than zero
=
2.List all integers
(a) from -8 to 4
=
(b) from -12 to -2
=
Step-by-step explanation:
-80 is less than 0.
+76 is more than 0.
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4
-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2
Which describes the combined variation in the formula h=v/ πr^2?
h varies directly with V and inversely with the square of r.
h varies directly with V and inversely with π and the square of r.
h varies jointly with V and π, and inversely with the square of r.
h varies jointly with V and r2.
Step-by-step explanation:
h varies directly with v and inversely with the square of r.
1/pi is the constant of variation.
click on the point f(-3)
Answer:
The point at f(-3) is at (-3,1).
Step-by-step explanation:
To find the y-value of a function at a specific point by using the graph, keep in mind that the x-axis is the axis that lies horizontally on the graph.
So, look along the horizontal line through the center until you find where x = -3. Now find the corresponding y-value to that x-value by looking above or below that point until you find where it intersects the graph. When you find that point, look to see what number the point corresponds with on the y-axis. In this case, it corresponds to y = 1.
Remember that ordered pairs are formatted as (x,y).
Hope this helps.
Which of the following sets of numbers is a Pythagorean triple?
42, 40, 82
42, 40, 58
41, 41, 58
40, 41, 57
HELP QUICK PLEEZ
Answer:
42,40,58
Step-by-step explanation:
Look at the image below. What is the area of the triangle? units
Answer:
7 Units^2
Step-by-step explanation:
If we add an exact copy of the triangle, we can make a parallelogram.
Then we can use the parallelogram's area to figure out the triangle's area.
Hint #22 / 4
The original triangle has \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction the area of the parallelogram we just made.
Hint #33 / 4
\begin{aligned} \text{Area of parallelogram} &= \text{base} \times \text{height}\\\\ \text{Area of triangle} &= \dfrac{1}{2} \times \text{base} \times \text{height}\\\\ &= \dfrac{1}{2} \times 7 \times 2\\\\ &= \dfrac{1}{2} \times 2 \times 7\\\\ &= 1 \times 7\\\\ &= 7 \end{aligned}
Area of parallelogram
Area of triangle
=base×height
=
2
1
×base×height
=
2
1
×7×2
=
2
1
×2×7
=1×7
=7
Hint #44 / 4
The triangle has an area of 777 units^2
2 squared.
The area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the figure:
The base length = 7 units
The height of the triangle = 2 units
Area of the triangle = (7x2)/2
= 7 square units
Thus, the area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
Can someone please help with this. I’m stuck.
Answer:
567 ghbvc. the high but
Step-by-step explanation:
solve accordingly to the picture
hope it helps
Solve the equation:
1. |x-7|=8
2. |x-9|=-14
Answer:
1. [tex]x=-1; x=15[/tex]
2. Impossible
Step-by-step explanation:
About #1.
There are two ways of reasoning.
Algebrically, you split the absolute value in two based on the sign of the quantity [tex]x-7[/tex]
[tex]x-7 = 8; x\ge7\\x=15\\x-7=-8; x < 7\\x=-1[/tex]
Geometrically, and it's a personal preference of mine, you're asking to find the numbers that are 8 units away from 7. One is to the right (15), and the other is to the left (-1).
#2 is impossible. The modulus of a number is by definition non negative, so it can never be equal to a negative number.
How many units are there between point A (-3,80) and point B (-3,12)
Answer:
68 units
Step-by-step explanation:
Given:
Point A = (-3, 80)Point B = (-3, 12)As the x-values of points A and B are the same (x = -3), the line through points A and B is vertical.
Therefore, to find the distance between the two points, simply subtract the y-value of point B from the y-value of point A:
[tex]\sf distance=y_A-y_B=80-12=68 \ units[/tex]
f(x) = -x^2 + 6x - 10
Sketch the graph of each function.
(Please show work, I don’t understand).
Answer:
The graph would not be as able to see the form and/or function so hope this helps
I am so confused... I need help
Find the value of x. Enter only the number.
Answer: 5
Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.
there are 374 students at a school. Each table in the cafeteria hold 16 students. What is the MINIMUM number of tables needed for all of the students to eat lunch at the same time
Answer: There should at least be 23 tables
Step-by-step explanation:
If there is 23 tables there will still be six students with nowhere to sit :)
Lin got a $50 gift card to an online music store. She uses the gift card to buy an album
for $9.99. She also wants to use the gift card to buy some songs. Each song costs
$1.29.
Which of these inequalities describes this situation, where n is the number of songs Lin
wants to buy?
a) 9.99 + 1.29n > 50
b) 9.99 + 1.29n < 50
c) 9.99 - 1.29n > 50
d) 9.99 - 1.29n < 50
Answer:
b i think because 50 minus 9.99 then 1.29 will be less than cuz it cant go over
Please help me with this problem! Picture Included!!
Answer:
y < 1
Step-by-step explanation:
graphing with inequality
Answer:
3/1/2
Step-by-step explanation:
please mark me the brainiest
The table represents the number of miles to the nearest airport. Find the median.
# OF MILES: 20, 22, 24, 26
FREQUENCY: 3, 2, 1, 4
The median value in the data set is the average of the two middle values which is: 23.
What is the Median of a Data Set?In an ordered data set, the median is the middle value or average of the two middle values in the data set.
List out each data point in the data set given:
20, 20, 20, 22, 22, 24, 26, 26, 26, 26
The middle values in the data set are, 22 and 24.
Median = (22 + 24)/2
Median = 23
Learn more about the median on:
https://brainly.com/question/26177250
Abby is going to make 60 Abby is making 60 shortbread biscuits. How much flour
will she need?
Ingredients to make
20 shortbread biscuits
130g butter
60g sugar
180g flour
Step-by-step explanation:
180 grams of flour is needed for 20 short bread biscuits to find how many floor is needed per biscuit we divide
=> 180 ÷ 20=> 9g(per each)since we are find the value of floor per shortbread biscuits we then multiply it by 60
=> 9 × 60=> 540[tex] \therefore [/tex] she needs 540g to make 60 short bread biscuit
~ Done~
A recipe calls for 4 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?
A. 1.6 cups
B. 2.5 cups
C. 6.4 cups
D. 10 cups
3.-Un camión de pasajeros arranca desde el reposo y mantiene una aceleración de 0.8 mis?
a) ¿En qué tiempo recorrerá una distancia de 0.5 km?
b) ¿Qué rapidez levará en ese tiempo en m/s y en km/h?
a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.
b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).
Caso de movimiento uniformemente acelerado
El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración ([tex]a[/tex]), en metros por segundo al cuadrado, es constante en el tiempo ([tex]t[/tex]), en segundos.
a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:
[tex]x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)
Donde:
[tex]x[/tex] - Cambio en la posición, en kilómetros. [tex]v_{o}[/tex] - Rapidez inicial, en metros por segundo.Si sabemos que [tex]x = 500\,m[/tex], [tex]a = 0.8\,\frac{m}{s}[/tex] y [tex]v_{o} = 0\,\frac{m}{s}[/tex], entonces tenemos que el tiempo requerido es:
[tex]0.4\cdot t^{2}-500 = 0[/tex]
[tex]t \approx 35.355\,s[/tex]
El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. [tex]\blacksquare[/tex]
b) La rapidez final ([tex]v[/tex]), en metros por segundo, se determina con el siguiente polinomio de primer orden:
[tex]v = v_{o} + a\cdot t[/tex] (2)
Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 0.8\,\frac{m}{s^{2}}[/tex] y [tex]t = 1250\,s[/tex], entonces tenemos que la rapidez final es:
[tex]v = 0 + 0.8\cdot (35.355)[/tex]
[tex]v = 28.284\,\frac{m}{s}[/tex] [tex]\left(101.822\,\frac{km}{h} \right)[/tex]
La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). [tex]\blacksquare[/tex]
Para aprender más sobre movimiento uniforme, invitamos a ver esta pregunta verificada: https://brainly.com/question/118814
If you drew a marble from a bag containing 40 marbles and you had a probability of drawing a red marble, how many red marbles are in the bag?
6
10
3
5
Answer:
There are 5 red Marbles
Step-by-step explanation:
Alright so since the probability of drawing a red marble is
P(Red) = #Outcomes of Red/#Outcomes in Sample space
The sample Space is 40 marbles.
The probability of drawing red was said to be [tex]\frac{1}{8}[/tex]
P(Red) = [tex]\frac{1}{8}[/tex]
[tex]P(Red) = \frac{r}{40}\\ \frac{1}{8} = \frac{r}{40}\\ \frac{40}{8} = r\\ 5 = r[/tex]
Solve this system of equations
3x+3y+z =-18
x-3y+2z=15
8x-2y+3z=7
What is 88 3/4 rounded to the nearest whole number
Answer:
89
Step-by-step explanation:
df fd
I need help quick please
Angle A = 137
Angle B = 93
what is a quadrialateral?
A quadrilateral is four sided polygon. squares and rectangles are more common examples of a quadrilateral. Each quadrilateral has it's unique features however generally the sum of angles of a quadrilteral is 360
Introducing angle C such that
A + C = 180 (angle on a straight line)
C + 47 + 90 = 180 (sum of angles of a trianlge)
C = 180 - 90 - 47
C = 43
hence
A + 43 = 180
A = 180 - 43
A = 137
A + B + 90 + 40 = 360 (sum of angles of a quadrilateral )
37 + B + 90 + 40 = 360
B = 360 - ( 137 + 90 + 40 )
B = 93
Read more on quadrilaterals here: https://brainly.com/question/16691874
Please answer question in screen shot
Answer:
1 (the answer will always be 1)
Step-by-step explanation:
Let's forget about the absolute value signs for a second and just look at what's inside
[tex]\frac{x+y}{-x-y}[/tex]
This can be rewritten as
[tex]-\frac{x+y}{x+y}[/tex]
When you have the same numerator and denominator, it will always come out to 1, so we can just say that this is saying
[tex]-\frac{x+y}{x+y} = -1[/tex]
Now, back to the absolute value signs
This comes out to negative 1, but the absolute value signs means to always change the negative to a positive (but if it's a positive, it stays positive!)
So that means:
[tex]|-1| = 1[/tex]
and 1 is your answer