Answer:
The credit remaining on a phone card (in dollars) is a linear function of the
total calling time made with the card (in minutes), as shown in the figure below.
The remaining credit after 45 minutes of calls is $22.80 , and the remaining
credit after 64 minutes of calls is $19.76.
Step-by-step explanation:
What is the remaining credit after 73 minutes of calls?
;
Not sure what figure you are referring to, write an equation from the given values:
Assign the values as follows
x1 = 45; y1 = 22.80
x2 = 64; y2 = 19.76
:
Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29
m = -.16
:
The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo
Answer:
51 adults and 193 children
Step-by-step explanation:
Number of children = c
Cost for c children = c*4 = 4c
Number of adults = a
Cost for a adults = 6a
Total people = 244
a + c = 244 ---------------(I)
a = 244 - c ----------(II)
Cost for 244 people = $ 1078
6a + 4c = 1078 -------------(III)
Substitute a = 244 - c in equation (III)
6*(244 - c) + 4c = 1078
1464 - 6c + 4c = 1078
1464 - 2c = 1078
-2c = 1078 - 1464
-2c = -386
c = -386/-2
c = 193
a = 244 - 193
a = 51
Ned rides his bike 6 miles to the store and 6 miles back. The graph shows the relationship between the distance Ned is from home at any time throughout his trip and the distance he spends riding the bike. Which statement is true about Ned's ride?
A. Ned's speed is constant for the entire ride from 0 to 90 minutes
B. Ned's speed is constant on the interval from 0 to 60 minutes.
C. Ned's speed between the interval from 20 to 40 minutes is the same as his speed over the interval 50 to 90 minutes.
D. Ned's speed over the interval from 20 to 40 minutes is faster than his speed over the interval from 0 to 20 minutes.
Answer:
The answer is D
Step-by-step explanation:
A cant be right because the graph isn't a straight line.
B cant be right because from 0 to 60 the graph the line goes at a(n) upward slope not a straight line.
Although the first part of question c is right, the second part is wrong. From 50-90 the ling goes at a downward slope via decreasing, which isn't equal like it said so question C is wrong.
So the correct answer is D
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
Nancy deposits $2500 into an investing account that pays 6.1% annual interest compounded quarterly. What will be the balance after 10 years? Round to the nearest cent.
Step-by-step explanation:
P=principle balance
r= interest rate
n= no. of times interest compounded per year
t= time period.
[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]
BRAINLIST PLS
Based on the information given the balance after 10 years is $4579.94
Balance after 10 yearsUsing this formula
Amount=P(1+r/n)^nt
Where:
P=principle balance=2500
r= interest rate=6.1%
n= Number of times interest compounded per year=4
t= time period=10 years
Let plug in the formula
Amount=2500(1+0.061/4)^4×10
Amount=2500(1+0.01525)^40
Amount=2500(1.01525)^40
Amount=$4579.94
Inconclusion the balance after 10 years is $4579.94
Learn more about balance after 10 years here:https://brainly.com/question/25545513
Penny has some money. After
she pays $5 for her new kitten,
she will have $27. How much
money does she have now?
Answer:
32 dollars
Step-by-step explanation:
Her total os unknown. ? - 5 = 27. 27 + 5 = 32. 32 = ?
marciano has 85 dollars to spend at a fair he spends 30 on admission and 12 on snacks he wants to plag a game that costs 1.50 per game write an inequality using a variable to find the maximum number of times Marciano can play the game using the inequality determine the maximum number of times he can play the game
Answer: 28.666666666666667
Step-by-step explanation: 85 - 30 - 12 = 43. 43 ÷ 1.50 = 28.666666666666667
Four integers have a mean of 12, a median of 12, a mode of 12 and a range of 6.
Find the four integers.
Help me with this question please!! Show all work
Paul had 70 fliers to post around town. Last week, he posted 1/5 of them. This week, he posted 5/7
of the remaining fliers. How many fllers has he still not
posted
Answer:
Paul has not yet posted 6 fliers.
Step-by-step explanation:
How many did he post last week? (1/5)(70) = 14
This week? (5/7)(70) = 50
Already posted: 14 + 50 = 64
Not yet posted: 70 - 64 = 6
A scientist tracks wolf populations in two parks. One population consists of 20 wolves and is increasing by an average of 2 per year. The other consists of 15 wolves and is increasing by an average of 3 per year. Write an equation that can be used to determine how many years, y, it will take for the two populations to be equal.
Answer:
it will take 5 years for them to be equal
Step-by-step explanation:
1st year they will be 22-18
2nd year they will be 24-21
3rd year they will be 26-24
4th year they will be 28-27
Finally the 5th year they will be 30-30
Find the value of x that makes m//n (2x+20)
Answer:
20
Step-by-step explanation:
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Jace wants to ride his bicycle 27.1 miles this week. He has already ridden 16 miles. If he rides for 3 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
Answer:
3.7 mi/day
Step-by-step explanation:
Subtracting 16 mi from 27.1 mi yields 11.1 mi to be covered in 3 additional days. The unit rate (number of miles per day) necessary for Jace to have ridden 27.1 miles total is 11.1 mi / 3 days = 3.7 mi/day
Riding 3.7 mi/day on each of the remaining 3 days would bring Jace's total miles up to 27.1 mi.
Resolver para y.
y-14=X
Answer:
y = x + 14
Step-by-step explanation:
y - 14 = x
y = x + 14
How do I do this? geometry
Answer:
B. b = mt/v
Step-by-step explanation:
b/t = m/v
bv = tm
b = tm/v
solve the following equations step by step
x + 7 = 4
[tex] \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex]x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11[/tex]
Since your answer is ' 11 '
♡ hope it was helpful for you ♡~
Answer:
Thank you for points
Step-by-step explanation:
Thank you
What is the value of the expression m^4- 11 when m = 3? Use the number pad to enter your answer in the box.
Answer:
70
Step-by-step explanation:
m^4 - 11
when m = 3
3^4 - 11
81 - 11
70
What is the name of this angle?
Help
Answer:
Acute is correct. It should not be confused with the girl at the desk ahead. She's a cutie. Cuties all have angles, so caution.
Step-by-step explanation:
which of the following has factor of (× - 4) (× - 3)?
Answer:
Hello!
After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:
x²-7x+12
Step-by-step explanation:
This is my work:
I’ll give brainliest, thanks and 5 stars.
Answer:
First, you can break 6 into 3 * 2.
[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]
Then, cancel out the common factor of [tex]3^3[/tex]:
[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]
Next, cancel out the common factor of [tex]2^4[/tex].
[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]
You can evaluate it as 10125 if you'd like.
PLS HELP ASAP !!
A boy has climbed 210m up a 350m vertical cliff, and is trapped there.
A rescue helicopter is hovering 65m above the top of the cliff.
Calculate how far a rescue must be lowered to reach the boy.
You may draw a sketch to help you.
(i'll mark as brainliest if u answer:))
Answer:
205
Step-by-step explanation:
helicopter=65m
tap of the cliff=
the boy=350m
210=
that makes the answer 205
Answer:
205 meters
Step-by-step explanation:
The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.
This means that the helicopter is 415 meters above the bottom of the cliff.
The boy is 210m above the bottom of the cliff.
So, you have to subtract 210 from 415 to get 205.
Therefore, you have to lower the rescue 205m to reach the boy.
Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?
if I did it right then it's $32.38.
A ship leaves a port and travels 21km on a bearing of 32 and then 45km on a bearing of 287 calculate its distance from the port and the bearing of the port from the ship
Answer:
44.5 km on a bearing of 134.1°
Step-by-step explanation:
A suitable vector calculator will tell you the location of the ship from port is ...
21∠32° +45∠287° = 44.5∠-45.9°
The bearing of the port is in the reverse direction, so 180° added to this:
180° +(-45.9°) = 134.1°
The distance from port is 44.5 km. The bearing of the port is 134.1°.
_____
Additional comment
The distance from port is perhaps most easily found using the Law of Cosines. It is the third side of a triangle with sides 21 and 45. The included angle is (287° -(180° +32°)) = 75°. The distance is then ...
c = √(a² +b² -2ab·cos(C)) = √(21² +45² -2·21·45·cos(75°)) ≈ √1976.83
≈ 44.5 km
The angle between the 32° bearing and the bearing from the port to the ship can be found using the Law of Sines.
B = arcsin(b/c·sin(C)) = arcsin(45/44.5sin(75°)) ≈ 77.9°
so, the bearing angle from the ship to the port is ...
180° +(32° -77.9°) = 134.1°
__
Bearings are measured clockwise from north. A diagram can be helpful.
Evaluate. [2−∣∣−1/4−2(−3/5)∣∣]÷(−6) What is the value of the expression? Enter your answer as a simplified fraction in the box.
Answer:
-7/40
Step-by-step explanation:
I hope this helps!
Write an equation of the line in slope intercept form (-2,4) (0,0)
Answer:
y = -2x
Step-by-step explanation:
Slope = (change in y-values)/(change in x-values)
Slope = (0 - 4)/(0 - (-2)
Slope = -4/2
Slope = -2
Use the slope = -2 and point (0, 0) and substitute into y= mx + b to solve for b
y = mx + b
0 = -2(0) +b
0 = b
The equation of the line y = -2x + 0 or y = - 2x
Urgent…. I need help
You don’t gotta explain
I will mark brainiest asp
Which one is a function?
A.
Step-by-step explanation:
To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.
if someone can help me answer these questions ill mark u as a brainliest! thank u if u help! :)
Answer:
u = 20, v = 1
Step-by-step explanation:
Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.
Therefore:
[tex]v+23=u+4\\19v+41=2u+20[/tex]
Now, you can simply solve the system of equations for v and u.
I will solve by substitution:
[tex]v+23=u+4\\v=u-19[/tex]
Now, plug that into the other equation:
[tex]19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20[/tex]
Finally, plug that back into the first equation:
[tex]v+23=20+4\\v+23=24\\v=1[/tex]
u = 20, v = 1
Two trains, Train A and Train B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each train?
Answer:
Train A: 238 Train B: 194
Step-by-step explanation:
436-242=194-436=-238
Flip the sign for 238 and you get your answer.
(This might not be correct)
please answer this fast question in the image.
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2 - y1}{x2-x1}[/tex]= [tex]\frac{4-(-1)}{2-0} = \frac{5}{2}[/tex]
simplify (3x^2y3)^3 / x3
Helppppppppppppppp meee