Answer and Step-by-step explanation:
In this inequality, we are solving for r. Just think of this as a normal equation, and worry about the sign at the end.
First, add 5 to both sides.
8r > 80
Now divide by 8 to both sides.
r > 10
So, r is greater than 10.
[ If the inequality had a negative number being divided, then the sign would flip.
For example:
-2x > 4
To solve this one, you would divide by -2 to both sides. Then, you would flip the sign.
x < 2 ]
#teamtrees #WAP (Water And Plant)
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
Solve the following problems using linear functions.
a. Suppose there’s a linear relationship between your height and your shoe size: s = (1/10)h + 5, where h is measured in inches. If you’re 5 feet, 10 inches tall, what size shoes do you take? (Remember that 1 foot = 12 inches.)
b. Runner A and Runner B are competing in a race. Runner B is given a 10-meter head start and is therefore positioned 10 meters in front of the starting line. The starting gun sounds, and Runner B runs at a constant speed of 2.5 meters per second (m/s). After 10 seconds, how far is Runner B from the starting line?
Answer: a.) I take a shoe size 12
b.) Runner B is 35 m from starting line
Step-by-step explanation:
a) The variable h (height) is in inches, so, first, transform feet in inches:
1 ft = 12 in
5ft = 5.12 = 60 in
My height is 5ft 10in, then, my height in inches is: h = 60 + 10 = 70
To determine my shoe size:
[tex]s=\frac{1}{10}(70)+5[/tex]
s = 12
For me, who is 5ft 10in tall, my shoe size is 12.
b) Runner B is 10m in front of the starting line, which means runner's initial position is 10. Linear relationship between speed and position is given by:
[tex]x=x_{0}+v.t[/tex]
where
x₀ is initial position
v is speed
t is time
Replacing and solving:
x = 10 + 2.5t
x = 10 + 2.5(10)
x = 35
After 10s, Runner B is 35 meters ahead of the starting line
Mrs. Perez can type 180 words in 6 minutes. What is her average speed in words per minute?
Which statement about 4 + 2x is true?
Answer:
What statements, the statements aren't listed in the question?
Step-by-step explanation:
Which of the following is the graph of x^2 < 25?
Graph A
Graph B
Graph C
Graph E
Graph D
Graph F
Answer:
B
Step-by-step explanation:
Graph B represents the values of x when x²<25.
If you take the square root of both sides, you get ±x<5
This means that x is any value in between, but not including, -5 to +5.
Answer:
i think its b
Step-by-step explanation:
I need help with this! Thanks!!
Find the distance between the points (-3,- 2.2) and (-3,2.6).
Plz explain I want to see if I got it right.
Answer:
d = 4.8 units
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} -y_{1} )^2}[/tex]
~~~~~~~~~~~
( - 3, 2.6 )
( - 3, - 2.2 )
d = [tex]\sqrt{(-3+3)^2 +(-2.2-2.6)^2 }[/tex] = √(- 4.8)² = 4.8 units
4x+20 3x
determine the value of x
Step-by-step explanation:
[tex]4x + 20 = 3x \\ x = - 20[/tex]
-20 is the right answer.Kyra has a summer job selling ice-cream bars. She is paid $40 per day. She is also paid a commission
of $0.25 for each ice-cream bar she sells.
a. Write an algebraic expression that represents this statement.
b. How much can Kyra earn in one day if she sells 77 ice-cream bars?
Answer:
muliply those numbers. and then divide from the amount of money she has.
Step-by-step explanation:
PLS HELP
Rita's cat, Pickle, spends 40 percent of his day napping. How many hours does Pickle spend asleep each day?
he spends 9.6 hours sleeping each day! plz mark me the brainliest!
For every pound a company spends on advertising, it spends 43 pence on its website. Express
the amount spent on advertising to its website as a ratio in its simplest form.
Answer:
43:100
Step-by-step explanation:
this is the simplest form
Answer:
The answer is 100:43
Step-by-step explanation:
Question in picture please use the picture and write it down
Answer:
Radius is 2.
2πr= 4π
r=4π/2π
r=2
ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.
Complete Question
Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.
Answer:
The 90% confidence interval is [tex]0.748 < p < 0.842[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of people that watched the educational television is [tex]k = 159[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{159}{200}[/tex]
=> [tex]\^ p = 0.795[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.795 (1- 0.795)}{200} } [/tex]
=> [tex]E = 0.04696 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.795 -0.04696 < p < 0.795 + 0.04696[/tex]
=> [tex]0.748 < p < 0.842[/tex]
What did the priests do for the community? a. taught religion c. held mass b. had Indians put on plays d. all of the above Please select the best answer from the choices provided A B C D
Answer:
I'm pretty sure it's A but I could be wrong
Step-by-step explanation:
give two ways to write the expression as a phase for 15-b
Answer:
((c)) man so simple. bye
The graph of the function f(x)=V x+4 is shown below
The domain of the function is
Answer:
The function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
Step-by-step explanation:
Given the expression of the function
[tex]f\left(x\right)=\sqrt{x+4}[/tex]
We know that the domain of the function is the set of input values for which the function is real and defined
We know that the value inside the radical expression must be greater than or equal to 0 so that the function remains defined.
so
[tex]x+4\ge \:0[/tex]
subtract 4 from both sides
[tex]x+4-4\ge \:0-4[/tex]
simplify
[tex]x\ge \:-4[/tex]
Therefore, the function domain is:
{x|x ≥ -4}
Hence, option 4 is correct.
A plane is flying from city A to city B, which is 70 miles away. After flying 25 miles, the pilot realizes they were 15 ∘ off course .
How far is the plane from city B when the pilot realized the error?
about 74.4 miles
about 21.8 miles
about 46.3 miles
about 84.94 miles
PLEASE HELP ME!!!! PLEASE PLEASE!!! 40 POINTS a rectangular toy box has a length of x + 1 feet a width of 2x - 5 feet if the volume is 90 cubic feet what are the dimensions of the toy box
Answer:
the dimensions of the toy box:
Step-by-step explanation:
x+1=2x
2x-5
90
like terms;
- crossing over becomes + and vice versa
soo 2x-2x +90-5
2x^2 cancels it self out leaving 90-5
=85.
Al’s dog breathed 130 times in 5 minutes. At this rate, how many breaths should his dog take in 60 minutes?
Answer:
1560 breaths
Step-by-step explanation:
130/5=26
26*60
1560 breaths
Andrew's sandwich consists of a 20-gram piece of cheese, a 60-gram piece of turkey, and two 30-gram slices of bread. What is the total weight of Andrew's sandwich, in kilograms?
Answer:
20g+60g+30g+30g=140g.
Answer: 0.14kg
Step-by-step explanation:
convert to kilograms by moving the decimal over 3 places to the left.
:( please help I am failing
Answer:
4
Step-by-step explanation:
sorry if it wrong
Answer:
4
Step-by-step explanation:
The answer is 4 because if you can count, then you can see that there 4 ticks/lines between each number.
(TIP: Do NOT count the actual number, just the line for the answer)
Which table represents a direct variation?
Table A
x
4
6
8
10
y
7
9
11
13
Table B
x
4
6
8
10
y
12
18
24
30
Table C
x
4
6
8
10
y
1
3
5
7
Table D
x
4
6
8
10
y
3
3
3
3
Table A
Table B
Table C
Table D
Answer:
table c
Step-by-step explanation:
Answer:
The answer is table b
Step-by-step explanation:
Write a formula that estimates the change in the volume Vx of a cube when the edge lengths change from a to ax. Then use the formula to estimate the change in volume when x changes from cm to cm.
Answer:
a. [tex]dV = 3x^2\ dx[/tex]
b. See Explanation
Step-by-step explanation:
Given
Shape: Cube
Solving (a); Formula that estimates the change in edge length
The volume (V) of a cube is:
[tex]V = x^3[/tex]
Where
[tex]x = edge\ length[/tex]
The change in volume is got by:
[tex]dV = \frac{d}{dx}(x^3)[/tex]
Differentiate [tex]x^3[/tex]
[tex]dV = 3x^2\ dx[/tex]
Where
[tex]dx = x_2 - x_1[/tex] i.e. change in x
Solving (b):
The initial and final edge lengths are not given.
In order to solve this question, I'll assume that x changes from 5cm to 5.01cm
So, we have:
[tex]x = x_1 = 5cm[/tex]
[tex]x_2 = 5.01cm[/tex]
Substitute these values in [tex]dV = 3x^2\ dx[/tex]
[tex]dV = 3 * (5cm)^2 * (5.01cm - 5cm)[/tex]
[tex]dV = 3 * (5cm)^2 * 0.01cm[/tex]
[tex]dV = 3 * 25cm^2 * 0.01cm[/tex]
[tex]dV = 075cm^3[/tex]
3√7×2√3×2√21
simplify
Answer:
root 7 × root 7= root 21
Step-by-step explanation:
root21×root21=21 now 12×21 =252
A cookie recipe that yields 48 cookies calls for 2 cups of flour. How much flour would be needed for a cookie recipe that yields 144 cookies? help asap!!!!! :(
Answer: 6 cups
Step-by-step explanation:
You need to find a unit rate...
48/2= 1 cup for 24 cookies (unit rate)
144/24=6 so you need to multiply 1 and 24 each by 6
1*6=6
24*6
to get...
6 cups for 144 cookies
Determine the x- and y- intercepts for the graph equation y = -8
a. x-intercept is (0, -8) No y-intercept
b. No x-intercept y-intercept is (0, -8)
c. x-intercept is ( x8, 0) NO y-intercept
d. NO x-intercept is ( -8,0)
Please select the best answer from the choices prov
Answer:
b. No x-intercept y-intercept is (0, -8)
Answer:b
Step-by-step explanation:
x-2y= 1 3x -6y =3 solve this by using the substitution method
Answer:
im pretty sure its infinite solutions
Step-by-step explanation:
A company sells widgets. The company’s fixed and variable cost are modeled by the function C(x)=0.92x+85000. It’s revenue is modeled by the function R(x)=5.6x.
How many widgets does the company have to sell to break even? Round your answer to the nearest whole number, if needed.
Answer:
18162 widgets
Step-by-step explanation:
Given
[tex]C(x)=0.92x+85000[/tex]
[tex]R(x)=5.6x.[/tex]
Required
Determine the price at break even point
At breakeven point, the following relationship exists
[tex]Rx = C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]5.6x = 0.92x +85000[/tex]
Collect Like Terms
[tex]5.6x - 0.92x =85000[/tex]
[tex]4.68x =85000[/tex]
Make x the subject
[tex]x = \frac{85000}{4.68}[/tex]
[tex]x = 18162.3931624[/tex]
[tex]x = 18162[/tex] --- Approximated
Evaluate the expression when a=1\4 and b=6. -8ab
Answer:
-12
Step-by-step explanation:
-8 * ( 1/4) * (6)
= -12
Answer:
-12
Step-by-step explanation:
You must multiply 8 x 1/4 x 6 to get your answer
Please help me ASAP it’s times THANK U
Answer:
Only choices C and D are solutions
Step-by-step explanation:
6x + 3y = -15
y = -2x - 5
6x + 3y = -15
6x + 3(-2x - 5) = -15
6x - 6x - 15 = -15
0 = 0
Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.
We need to check each choice in just one equation.
Let's use the second equation.
y = -2x - 5
A.
(2, 7)
7 = -2(2) - 5
7 = -4 - 5
7 = -9 False
Not a solution
B.
(5, 0)
0 = -2(5) - 5
0 = -10 - 5
0 = -15 False
Not a solution
C.
(-3, 1)
1 = -2(-3) - 5
1 = 6 - 5
1 = 1 True
Solution
D.
-13 = -2(4) - 5
-13 = -8 - 5
-13 = -13 True
Solution
Answer: Only choices C and D are solutions