Answer:
The correct answers are:
A) 60 miles; and B) 3.375 hours.
Explanation:
We will use the equation d = rt for this.
For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation
d = 20x
For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:
d-6 = 16x
To isolate d, we will add 6 to each side:
d-6+6 = 16x+6
d = 16x+6
We will set the two equations equal to one another, since they both equal d:
20x = 16x+6
Subtract 16x from each side:
20x-16x = 16x+6-16x
4x = 6
Divide both sides by 4:
4x/4 = 6/4
x = 1.5
He travels for 1.5 hours both times.
The first time, 1.5 hours at 20 miles per hour is:
d = 1.5(20) = 30 miles
The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.
On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:
24 = 16x
Divide both sides by 16:
24/16 = 16x/16
1.5 = x
If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:
24/1.5 = 30/x
Cross multiplying,
24*x = 1.5(30)
24x = 45
24x/24 = 45/24
x = 1.875
This gives him a total time of 1.5+1.875 = 3.375 hours
Step-by-step explanation:
BRAINLIEST
Please do one or more questions
Answer:
12. ⇒ 218 °
13. ⇒ 282 °
Step-by-step explanation:
Problem 12:
Given - MK = 10 m
JK = 52 °
Since ∠LNJ = 90 °
Then LKJ = 90 °
So, KL = 90 ° - 52 ° = 38 °
Now, MK = 180 °
= MKL = MK + KL
= 180 ° + 38 °
= 218 °
Problem 13:
VYX = 360° - (YW + 15°)
YW = 180° - 117° = 63°
VYX = 360° - (63° + 15°) = 360° - 78° = 282°
Answer:
Step-by-step explanation:
Help stuck on this question
How i can answer this question?
Answer:
11n
Step-by-step explanation:
7+4 =11
so then 7n+4n=11n
given a1 = -1 and a4 = -8 what is a10
Answer:
The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term❤
Which situation results in a zero balance?
A Jenny uses her credit card to buy a $1,400 refrigerator and then makes a payment of
$1,400 to her credit card company.
B Pedro deposits $2,346 into a new checking account and then writes a check for $346.
C Eliza spends $150 on supplies for her business and then spends $150 in rent.
D Juanita earns $75 from her job and receives $75 from her sister.
Answer:
A
Step-by-step explanation:
0 - 1400 = -1400 + 1400 = 0
Matthew has a gift card for $50 to lulu beans he is charged $3.25 for each coffee that he buys write an equation to represent his total amount left a after c coffees are purchased how many coffees were purchased if he has $11 left on the card
Answer:
Amt(c) = $50 - ($3.25/coffee)c
c = 12
Step-by-step explanation:
An equation to represent his total amount left a after c coffees are purchased
would be Amt(c) = $50 - ($3.25/coffee)c
and if he has $11 left, then $11 = $50 - ($3.25/coffee)c
or -$39 = -($3.25/coffee)c.
Dividing both sides by -$3.25, we get c = 12
Each child in the Martin family decided to save money for the family vacation.
Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.
Which person would have the most money left for the vacation?
Answer:
The story is not clear enough to provide the answer
Step-by-step explanation:
First of all we do not know how many childen are in the Martin Family
[tex]20 \times 8[/tex]
=$160
So depending on how each child sends and how many children will determine which kid will have most of the money left
Jenny wants to build a concrete patio that will be 8 meters by 11 meters
Therefore, the total cost of the patio is $352.
Hoped this helped!
[tex]BrainiacUser1357[/tex]
PLEASE ANSWER ASAP
Which graph
Answer:
graph 4
Step-by-step explanation:
Question 7 (Essay Worth 10 points)
(03.08A MC)
The number line shows the distance, in meters, of two divers, A and B, from a shipwreck located at point X:
1.5
B
Х
-2.5
A
Hot
-3 -2
+
-1
0
1 2 3
Distance (m)
Part A: Write an expression using subtraction to find the distance between the two divers. (5 points)
Part B: Show your work and solve for the distance using additive inverses. (5 points)
Answer:
45
Step-by-step explanation:
Under his cell phone plan, Joseph pays a flat cost of $48 per month and $3 per gigabyte, or part of a gigabyte. (For example, if he used 2.3 gigabytes, he would have to pay for 3 whole gigabytes.) He wants to keep his bill under $55 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?
Answer:
gigabytes
gigabytes
Answer: 2 is the maximum number of gigabytes
Step-by-step explanation:
carter has two consecutive numbers with a sum of 49. what is the smaller number?
A. 23
b. 24
C. 25
D. 26
Answer:
A.23 is the answer
Step-by-step explanation:
49-26=23
49-25=24
49-24=25
de un grupo de 22 estudiantes hay 13 que practican natación y 10 practican atletismo y 2 que no practican nada . ¿Cuántos practican solo atletismo?
AYUDA¡¡¡
Usando conjuntos de Venn, se encuentra que 7 estudiantes practican solo atletismo.
Los conjuntos son:
Conjunto A: Estudiantes que practican natación.Conjunto B: Estudiantes que practican atletismo.Hay que:
13 que practican natación, o sea, [tex]A = 13[/tex].10 practican atletismo, o sea, [tex]B = 10[/tex].2 que no practican nada, o sea [tex]A \cup B = 22 - 2 = 20[/tex].La cantidad que practica ambos es:
[tex]A \cap B = A + B - A \cup B[/tex]
[tex]A \cap B = 13 + 10 - 20[/tex]
[tex]A \cap B = 3[/tex]
Solo atletismo es:
[tex]B - A \cap B = 10 - 3 = 7[/tex]
7 estudiantes practican solo atletismo.
Más informaciones a cerca de conjuntos de Venn pueden ser obtenidas en https://brainly.com/question/24388608
What is an equivalent expression to 7x - 3y + 8x ?
Answer:
15x-3y
Step-by-step explanation:
Ok, this question might seem hard but its not! theres only 2 varibles here, x and y. In this problem we add the 2 numbers that are x which gives us 15x and then the -3y gets added to the rephrasment.
I need help solving this
Answer:
what are you trying to solve
Step-by-step explanation:
I'm a coocoo butter cup girl!! hsvshjsvs
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
x=7
Step-by-step explanation:
by pythagoras, 25^2=24^2+x^2
solve for x
Help a girl out pls!!!
Answer: AA Similarity
Step-by-step explanation:
Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.
504300 in standard form
The table shows the thickness of four items. Place the items in order from the greatest thickness to the least thickness.
(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
AHH HALP
0.333 as a fraction
0.666 as a fraction
0.343434 as a fraction
1.432432 as a fraction
PLZ I NEED IT IN THE NEXT FEW MINS
I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE BEST ANSWER AND THE CORRECT ANSWER
PLEASE GIVE ME AN EXPLANATION AND A CORRECT ANSWER! THANK YOU
(Also sorry for caps, I just really need those answers lol)
Step-by-step explanation:
for the ones with the 1.43, it'll be written as an improper fraction. Let me know if you have questions,I've started it for you now try the rest
0.333 is apoximently 1/3
0.666 is aproximently 2/3
i couldnt find out the others tho s0rry
\Hoped that helped:P
What is the volume of a sphere with a radius of 9 units?
O A. 97271 units3
O B. 2437 units3
O C. 4867 units
O D. 32477 units3
Yes it would be 3,053.63 units^3.
But in our case, from the choices above, it would be (A. 972 pie units^3)
hope this helps.
Step-by-step explanation:
The volume of a sphere with a radius of 9 units is,
⇒ Volume of sphere = 339.12 units³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Radius of sphere = 9 units
Now, We know that;
⇒ Volume of sphere = 4/3 πr²
Radius = 9 units
Hence, We get;
⇒ Volume of sphere = 4/3 πr²
⇒ Volume of sphere = 4/3 × 3.14 × (9)²
⇒ Volume of sphere = 339.12 units³
Thus, The volume of a sphere with a radius of 9 units is,
⇒ Volume of sphere = 339.12 units³
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ7
What is the function graphed below?
3
Oy=x-1
Oy=1 X-1
Oy=1x+11
Oy=x+1
The function that is graphed below is y = |x + 1|.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the equation y = |x + 1| is a V-shaped curve that opens upwards and has a vertex at the point (-1, 0).
The absolute value function, represented by the vertical bars surrounding the expression (x + 1), means that the function will always output a positive value, regardless of the input.
When x is greater than or equal to -1, the expression inside the absolute value bars is non-negative, so the equation simplifies to y = x + 1.
This is a linear function with a slope of 1 and a y-intercept of 1, which means that the graph of y = |x + 1| for x ≥ -1 is a straight line that passes through the point (-1,0) and slopes upward to the right.
When x is less than -1, the expression inside the absolute value bars becomes negative, so the equation simplifies to y = -(x + 1) = -x - 1.
This is also a linear function, but with a slope of -1 and a y-intercept of -1, which means that the graph of y = |x + 1| for x < -1 is a straight line that passes through the point (-1,0) and slopes downward to the right.
The two linear segments meet at the vertex (-1,0), which is the minimum point of the graph.
The graph of y = |x + 1| is a continuous, piecewise linear function with a minimum value of zero at x = -1.
Thus,
The function that is graphed below is y = |x + 1|.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
PlEASE HELP URGENT!!!!!!!!!
Plz help!!!! Find the equation of the linear function represented by the table below in slope intercept form
Answer:
y=-5x+2
Step-by-step explanation:
rise/run
or
y2-y1/x2-x1
-8-(-3)/2-1
-8+3/2-1
-5/1=m=slope
Slope intercept formula:y=mx+b
use point (1,-3)
-3=-5(1)+b
-3=-5+b
+5 +5
2=b
Final Answer: y=-5x+2
Order these numbers from least to greatest
Answer:
5.125 < 5.14 < 5.15 < 5 2/9
Step-by-step explanation:
i changed 103/20 to a decimal to make it easier and just left 5 2/9 the same, hope this helps <3
To make a certain shade of paint, Anya mixed 2/3
cups of white paint with 2 and 2/3
cups of blue paint.
How many cups of blue paint should she mix with 3/4
cups of white paint to make the same shade?
Answer:
She needs 3 cups of white paint
Step-by-step explanation:
She has 1:4 ratio with the white and blue paint.
1/4:1
3/4:3
Can someone please help 25 points for this one
Answer:
im not sureee
Step-by-step explanation:
srry
(6) Arrange the decimals in increasing order..
(a) 0.8, 0.25, 0.21
(b) 0.85, 3/4' 0.857
A) 0.21, 0.25, 0.8
B) 3/4, 0.85, 0.857
hope this is helpful!
At the movies, tickets cost $12 for adults and $7 for kids under 12. How many total
tickets would someone get if they purchased 2 adult tickets and 16 kids tickets? How
many total tickets would someone get if they purchased a adult tickets and k kids
tickets?
Total tickets, 2 adult tickets and 16 kids tickets:
Total tickets, a adult tickets and k kids tickets:
Answer:
18a+kStep-by-step explanation:
The total number of tickets is the sum of the number of adult tickets and the number of kid tickets.
Total tickets, 2 adult tickets and 16 kids tickets: 2 +16 = 18
Total tickets, a adult tickets and k kids tickets: a +k
_____
Additional comment
The total price is a different matter:
$12(2) +$7(16) = $136 . . . for 2 adult and 16 kids
12a +7k . . . for 'a' adults and 'k' kids