A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.
__ hour(s)
Answer:
5 hours
Step-by-step explanation:
35h + 25=40h
implies 25=40h-35h
25=5h
dividing both sides by 5,
h=5
To begin a basketball game, a referee msut toss the ball vertically into the air. This process can be modeled by the equation h(t) = -16t^2+22t+6, where h represents the ball's height (in feet) after t seconds. Determine the time interval (in seconds) in which the height of the basketball is 8 feet. Round your answer to the nearest thousandth of a second
Answer:
1.277s and 0.098s
Step-by-step explanation:
Given the height of the ball modelled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s
What would this be? PS it's multiple choice.
Answer:
I think it would be A. the first one
Step-by-step explanation:
tell me if it was correct if it wasnt im sorry hope i dont mess u up
Solve.
25 ‒ (‒ 42) =
A.
67
B.
17
C.
‒17
D.
‒67
Answer:
You are Correct!!!
Step-by-step explanation:
What is the solution to 34x+85=3(13x+7)
Answer:
x=12.8
Step-by-step explanation:
34x+85=39x+21
34x-39x=21-85
-5x = -64
x = -64/-5
x = 12.8
Answer:
x = 34/5
Step-by-step explanation:
Just solve the equation
[tex]34x + 85 = 3(13x + 17)\\34x + 85 = 39x + 51\\85 - 51 = 39x - 34x\\34 = 5x\\x = 34/5[/tex]
please help me in this question
Answer:
30
Step-by-step explanation:
use Pythagoras theorem at first to find the third side of the triangle it will come 5
then use the formula to find the area of triangle
A=(5x12)/2=30cm2
Q4. Find the range, standard deviation, and variance for the following sample data:
33, 55, 29, 40, 8, 90, 61, 41, 17, 80, 56, 17, 59, 21,78
plz answer this!
Answer:
40 I think but no I think
If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?
Answer:
The answer would be 20cm.
Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5
Answer:
Step-by-step explanation:
n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.
m is neither.
p is parallel to the given line. For example y = 2/5x
and y = 2/5 x + 9 are parallel to each other.
Joan wants to start an IRA that will have $860,000 in it when she retires in 29-years. How much should she invest annually in her IRA to do this if the interest is 8% compounded annually?
Answer:
Annual deposit= $8,271.94
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $860,000
Number of periods= 29 years
Interest rate= 8% = 0.08
To calculate the annual deposit, we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (860,000*0.08) / [(1.08^29) - 1]
A= $8,271.94
PLEASEEE HELPPPP ASAPPPPP
Answer:
70
Step-by-step explanation:
For f(-4)=5(2-3(-4))=5(2+12) because - times - makes +
Therefore 5x2=10 + 5x12=60
10+60=70
what is 1.54x10^21 in scientific notation
Answer:
Scientific notation: 1.54 x 10^21
Scientific e notation: 1.54e21
Real number: 1540000000000000000000
At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (c) A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.
Answer:
5 pizzas and 17 sodas were bought
Step-by-step explanation:
Here, we want to get the number of pizza and sodas bought
Let n be the number of pizzas bought
we are told that the number of sodas bought was 2 more than 3 times the number of pizzas
So the number of sodas will be;
3n + 2
So let’s have the equations based on the prices;
pizzas cost $9.50, soda cost $1.25
Thus;
9.5n + 1.25(3n + 2) = 68.75
9.5n + 3.75n + 2.5 = 68.75
13.25n = 68.75 - 2.5
13.25n = 66.25
n = 66.25/13.25
n = 5
Number of pizzas bought is 5
number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17
can you guys help me with this?? 11 points and brainly. pleaseee and thank uuu!!
Answer:
Graph A fails the vertical line test
Step-by-step explanation:
The vertical line test will fail when a vertical line touches two or more points on the graph
Graph A will fail the vertical line test. The y axis touches two points on the graph.
What is x and y ?
I’ll give brainliest!
The options are on the side of the screen/triangle..
Answer:
I'm pretty sure x is 3
Step-by-step explanation:
Please help I need help fast
Answer:This problem asks how many groups of 1/3 are in 4.
Quotient :12
Step-by-step explanation:
What is the y-intercept and x-intercept of 2x + y = 10x - 1
Answer:
Wait I only see the part where it says “what is the y-intercept and x-intercept of” but I don’t see an equation :/
Step-by-step explanation:
what are the domain and the range
Answer:
Domain 1,3,5,7,9,11
Range 5,6,7,8,9,10
Joseph deposits $950 every month into an account earning a monthly interest rate of 0.5%. How much would he have in the account after 19 months, to the nearest dollar?
Answer:
I think, 18,058 dollars.
Step-by-step explanation:
tony is making gift bags for his friends. he has 6 bags and places 9 gifts into each bag .how many gifts did he place in the bags
Answer:
6 x 9 is 54
Step-by-step explanation:
54 bags because, it says each so your multiplying.
What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.
Answer:
the number 3 is being subtracted from it because you want to get by itself
how do you turn 0.03 into a fraction if the 3 is repeating
Answer:
it is 1/30
Step-by-step explanation:
Lets say x =0.03 repeating
100x=3.3333....
- 10x=0.333....
_____________
90x=3
Then divide both sides by 9 to get x:
x=3/90
simplify:
x=1/30
what is simplified expression for the expression below? 4(x+8)+5(x-3)
A) 9x+5
B) 9x+11
C)9x+17
D) 9x+47
4(x+8)+5(x-3)
4x+32+5x-15
9x+17
Rotate AXYZ 270° about the origin, (0,0).
Answer:
The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .
[tex]28-(3x+4)=2(x+6)+x[/tex]
Answer:
-47
Step-by-step explanation:
The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of baseballs with 12 baseballs to a box and an equal number of boxes of tennis balls with 16 tennis balls to a box. Write an expression to represent the total number of balls. PLEASE PLEASE HELP I NEED IT DONE TONIGHTTT
Answer:
u want full equation?
Step-by-step explanation:
Answer
baseballs:14+12n
tennies balls: 23+16n
14+12n+23+16n
14+23+12n+16n
(14+23)+(12n+16n)=37+28n
(n= the number of boxes of each type)
Step 1: We write expressions for the total number of baseballs and tennis balls
Step 2: We find an expression fr the total number of balls:
We combine the above expressions:
We use the Commutative Property:
We combine like terms:
( the answer is 37+28n)
When making pasta dishes, 10 pounds of pasta makes 60 meals. How many pounds of pasta are needed to make 750 meals?
Prove that ABCD is a rectangle.
A = (-4, 4)
B = (0,5)
C = (1, 1)
D = (-3,0)
Answer:
Draw it on a graph sheet
The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain
Answer:5/14
Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered
Kenji is decorating papers with a total of 15 heart stickers and 12 star stickers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of heart and star stickers and no stickers left over, what is the greatest number of pages Kenji can decorate?
Answer: The greatest number of pages Kenji can decorate = 3
Step-by-step explanation:
Given: Total heart stickers = 15
Total star stickers =12
If all the papers identical, with the same combination of heart and star stickers and no stickers left over.
Then the greatest number of pages Kenji can decorate = GCD(15,12) [GCD=greatest common divisor]
Since 15 = 3 x 5
12=2 x 2 x 3
GCD(15,12) =3
Hence, the greatest number of pages Kenji can decorate = 3