The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients
How to write Functions?We are given;
Number of patients the dental hygeinist cleans before lunch = 5
Average number that she cleans after lunch = 9 patients in 4 hours
Thus, number of patients per hour is 9/4
The formula for slope intercept form is;
y = mx + c
Thus, equation to represent the situation in the question is;
y = 9/4x + 5
At 2 hours after lunch, number of patients is;
y = 9/4(2) + 5
y = 9.5
Approximately 9 patients
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2-3 (8.5A) Hikaru is going to make x pies, he will put 3 pounds of berries in each one, which equation can be used to find b, the total number of pounds
of berries he will put in the pies
A
C b=x+3
5
8
b=x+3
35
b = x - 3
5
B
D
5
b = 3
Answer:
D
Step-by-step explanation:
the answer is d because it's the 3 and 5/8ths per pie this it is multiplied by x.
Please help with this please domain and range
6cm, 15cm, 6cm does it make a triangle
Answer:
Yes
Step-by-step explanation:
Answer:
yes you can make an isosceles triangle
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
your answer is : 56/9 or 6 2/9
hope it help
Answer: when it is simplified its 56/9. When you converted it is 6 and 2/9
Step-by-step explanation: hope this helps :)
To the nearest tenth, what is the length of QR
Answer:
|QR| = 17.6
Step-by-step explanation:
To answer this we need to show that the triangles are similar or to assume that they are similar.
Note the following:
1. The ratio of the longest sides is 12.5 to 25.0, or 1/2;
2. The ratio of the shortest sides is 5.2 to 10.4, or 1/2
Therefore the ratio of the longer legs is 8.8 to QR, also equal to 1/2
8.8 1
-------- = -----
QR 2
Cross-multiplying, we get |QR| = 17.6
Answer:
[tex] \displaystyle B )\overline{ \text{QR }}= 17.6 cm[/tex]
Step-by-step explanation:
we have two similar triangles
we want to figure out the measure of QR
remember that,
the ratio of the corresponding sides of two similar triangles is equal
thus,
[tex] \displaystyle \frac{8 .8}{QR} = \frac{5.2}{10.4} [/tex]
cross multiplication:
[tex] \displaystyle5.2 QR = 91.52[/tex]
divide both sides by 5.2:
[tex] \displaystyle \frac{5.2 QR }{5.2}= \frac{ 9 1.52}{5.2}[/tex]
simplify division:
[tex] \displaystyle QR = 17.6 cm[/tex]
hence, our answer is B
Solve the inequality for u.
-10 ≤ - 5u
Simplify your answer as much as possible.
Answer:
u ≤ 2
Step-by-step explanation:
Given
- 10 ≤ - 5u
Divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.
2 ≥ u , then
u ≤ 2
Help! Solve for the value of x.
Answer:
x=6 degrees
Step-by-step explanation:
I know that 31+(10x-1)=90. Then I have to subtract 31 from 90 to get 10x -1.
That's 59. I solve for x in the equation 59=10x-1.
That is the same thing as 60=10x, which is also the same as 6=x.
Solve each equation by completing the square. Write both answers separately.
Answer:
37) ±√29 - 4
Completing the square utilizes this formula [tex](\frac{b}{2})^{2}[/tex]. We know that b=8, 8 can be plugged into this formula to get [tex](\frac{8}{2})^2[/tex]. Simplify to get 16. Now, we can add this into the equation to get [tex]k^{2}+8k+13=26[/tex]. Subtract 26 to both sides, so the equation can equal to 0. [tex]k^{2} +8k-13=0[/tex] would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.
38) ±√21 - 2
Let's use the same formula. b=4, so [tex](\frac{4}{2} )^2[/tex]. Simplify to get 4. Add that into the equation to get [tex]x^{2}+4x-5=12[/tex]. Subtract 8 on both sides, so the equation can equal to 0. [tex]x^{2}+4x-17=0[/tex] would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2
If you're confused on any part of the explanation, feel free to ask :)
5 athletes are in a 100k race. How many different ways can they finish based on their order.
Answer:
It's 120 different ways I think
Step-by-step explanation:
HELLPPPP!!!! Find the distance between the lines
First you have to change "-2x+6y-9=0" into slope intercept form (y=mx+b).
Add the -9 to 0, to get (-2x+6y=9).
Now add -2x to the 9, to get (6y= -2x+9). Since -2x and 9 aren't like terms.
Divide 6 on both sides to get (y=-2/6x+9).
Plot this on a graph as shown above. (16.5, 3.5)
Answer is: D) 3.35, since it's closer.
If my math is off please let me know.
What is the range of this data based on the dot plot?
Life Expectancy by State
74 76
78 80 82
Years
182=288 so 74 76 78 80 82 ×2 == 76 78 80 82 84 ans the range is 2920
Hello, Can anyone help me? If you give a link answer, I will report you.
(5 × 10^5 )(2 × 10^7)
Note: the ^ stands for "to the power of"
Answer:
10 times 10 ^12
Step-by-step explanation:
this is what I got but I'm not sure if it is correct
What is the value x of 4×+67=143
PLEASE HELP WITH THIS
Answer:
A = 1/2 x b x h
A = 1/2 x bh
A = 1/2bh
Consider the following rational function fff. f(x)=\dfrac{-4x^3+7x+9}{8x^6-9x^4-2x}f(x)= 8x 6 −9x 4 −2x −4x 3 +7x+9 f, left parenthesis, x, right parenthesis, equals, start fraction, minus, 4, x, cubed, plus, 7, x, plus, 9, divided by, 8, x, start superscript, 6, end superscript, minus, 9, x, start superscript, 4, end superscript, minus, 2, x, end fraction Determine fff's end behavior. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to -\inftyx→−∞x, \to, minus, infinity. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to \inftyx→∞x, \to, infinity.
Answer: 0 to -∞
0 to ∞
Step-by-step explanation:
One gallon of gasoline in Buffalo,new York costs $2.29 .Across the border in Toronto,Canada, one liter of gallon costs $0.91
Complete question :
One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto?
Answer:
$3.458
Step-by-step explanation:
Given that :
Cost per gallon in Buffalo, New York = $2.29
Cost per Litre in Toronto, Canada = $0.91
Number of litres in 1 gallon = 3.8
The cost per gallon in Toronto, Canada will be :
3.8 * cost of a Litre
3.8 * $0.91 = $3.458
Hence, cost of a gallon in Toronto, Canada = $2.73
A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form. The wire is attached to the pole feet above the ground.
Answer:
20 ft is where it's attached
(x+16)* x* what is x?
Answer:
i think x= 0,-15
Step-by-step explanation:
i hope this helps
2. Aki has a 2 1/4
metre length of copper
piping.
a) He uses2/3 of it for a job.
What length of pipe is left?
b) He uses 1/8of a metre from the pipe
left for another job, how much of the
original is left?
Answer:
a)3/4
b)5/8
Step-by-step explanation:
a)2 1/4x (1-2/3)=9/4 x1/3=3/4
b)3/4-1/8=6/8-1/8=5/8
Arun walked the 6 2/3 kilometre the first day, 5 5/6 kilometre the second day ,and 5 1/3 km the third day .how much did he walk in all ?
Answer:
17 5/6 is the answer.
Step-by-step explanation:
6+5+5=16 + 2/3+5/6+1/3
2/3=4/6
1/3=2/6
2+4+5=11/6=1 5/6
1 5/6+ 16=17 5/6
I did this stuff in like 4th grade
ASAP
-WILL MARK BRIANIST
the answer to the problem is 48.
Someone help me out with this
Answer:
4x = 20
x = 5
Step-by-step explanation:
Have a nice day!
Trigonometric ratios, 15 points will give thanks, rating and brainliest. Everything.
Answer:
Angle X= 44.99 degrees or 45 if rounded to the ones place.
Step-by-step explanation:
Photo Attached, used SOH CAH TOA method.
describe the relationship between the zeros of the quadratic function and linear factors of the expression
Answer:
F(x) represents the zeros of the given quadratic function. i.e. the linear factors represents zero when we resolve the expression
Step-by-step explanation:
Describing the relationship between the zeros of the quadratic function and the linear factors of the expression using an example as shown below
lets describe this using the example below :
quadratic expression : F(x) = ax^2 + bx + c
let the linear factors of F( x ) = 0
F(x) represents the zeros of the given quadratic function above i.e. the linear factors represents zero when we resolve the expression
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3
inches. The cone has a radius of 3 inches. What is the height of the cone?
Show your work.
Plz help
Answer: 4 in
Step-by-step explanation:
The volume of the cylinder is
[tex]V=(\pi)(2^{2})(3)=12\pi[/tex]
If we let the height of the cone h, the volume of the cone is
[tex]V=\frac{1}{3}(\pi)(3^{2})(h)=3\pi h[/tex]
Setting these volumes equal,
[tex]12\pi=3\pi h\\\\12=3h\\\\h=\boxed{4 \text{ in}}[/tex]
Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.
Answer:
Required inequalities are as following.
Brittany will exercise for at least 45 minutes:
x + y ≥ 45Brittany will exercise at most 1 hour and 15 minutes (= 75 min):
x + y ≤ 75Brittany will spend at least three times as much time on the treadmill as on the ski machine:
y ≥ 3xAnswer:
[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]
A cone has a diameter of 12 meters and height of 2 meters is the volume of the cone in terms of π?
Answer:
75.4 meters³
Step-by-step explanation:
Section A - Cla
Let's tell and write the answers as quickly as possi
a) Natural numbers less than 10 are
b) Whole numbers less than 10 are
c) The least and the greatest natural numbers are
d) The least and the greatest whole numbers are
e) Are all natural numbers whole numbers?
f) Are all whole numbers natural numbers?
g) Is the sum of 5 and 4 a natural number?
h) Is the difference of 5 and 5 a natural number?
i) Is the difference of 5 and 5 a whole number?
Solve the equation below for x.
9(x - 5) = 4x - 5
Answer: look at the picture
Step-by-step explanation: Hope this help :D
If 661,17A is a multiple of 12, then what is A?
Answer:
A=6
Step-by-step explanation:
A can only be a number 1-9 so try every number.
661,176/12 = 55098
Hope this helped! :)