Answers
Answer:
x > -10
Step-by-step explanation:
5x + 13 > -37
subtract 13 from each side:
5x > -50
x > -10
Answer:
X >/ -10 (imagine this is more or equal to symbol lol)
Step-by-step explanation:
1. subtract 13 from both sides
5x +13-13 >/ -37 -13
2. Simplify
5x >/ -50
3. solve for x (which means divide by 5)
5x/5 >/ -50/5
x>/ -10
Related Questions
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020
Answers
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
The formula of triangles
Answers
Answer:
area of triangle = 1/2 ×base×height
How do you solve the following equation
: X/-3 + 2=4
Answers
Answer:
For this equation you be inverse operation giving you the answer -6
further information down below :)
Step-by-step explanation:
Your goal for this is to isolate the variable which is x.
First, find the operation opposite of addition which is subtraction
When you add that operation to both sides with the constant(2)
2 and 2 cancel each other out, but to the for the term(4) 4-2=2
after that you have your new term which is x/-3=2
You do the same thing but to in division because the opposite of multiplication is division in this case you multiply -3 to both sides -3*-3 cancel each other out, now you have-3*2= negative times a positive equal negative in anyway so, overall you get -6.
To check:
you do the full equation now that you have isolated the variable, you now can do the operations normally which are. -6/-3=2 because when you divide a negative by a negative you get a positive end out with 2+2=4 which is correct and match the sum.
This means that our answer is correct :)
Which parametric equations represent (x + 1)2 + (y – 3)2 = 16
PLEASE HELP WILL GIVE BRAINLIEST
x = 8cos(t) – 1 and y = 8sin(t) + 3
x = –cos(t) + 8 and y = 3sin(t) + 8
x = 4cos(t) – 1 and y = 4sin(t) + 3
x = –cos(t) + 4 and y = 3sin(t) + 4
Answers
Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
15) Volume of a cuboid with base area 500 m2 and height 4m is. with steps
Answers
Answer:
Volume of cuboid = 2000 m³
Step-by-step explanation:
Given the following data;
Base area = 500 m²
Height = 4m
To find the volume of a cuboid;
The volume of a cuboid is given by the formula;
Volume of cuboid = length * breadth * height
But remember, base area = length * breadth
Therefore, the volume of the cuboid becomes;
Volume of cuboid = base area * height
Substituting into the equation, we have;
Volume of cuboid = 500 * 4
Volume of cuboid = 2000 m³
Emily can walk 3/4 of a mile in 1/4 of an hour.
At this same rate, how long does it take Emily to walk 1 mile?
Answers
Answer:
20 minutes
Step-by-step explanation:
Method 1:
(0.75)/(0.25)=(1)/(x)
0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!
0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.
Method 2:
(0.75)/(0.25)=(1)/(x)
Cross-multiply
0.75x=0.25
(0.25)/(0.75)=x
x=0.33333 hours
Emily will use 20 minutes or 1/3 hour to walk 1 mile.
Note that 3/4 = 0.75
1/4 hour = 1/4 × 60 = 15 minutes
Let the amount of time that it takes Emily to walk 1 mile be represented by x.
Therefore, the equation to solve the question will be:
0.75 /1 = 15/x
Cross multiply
(0.75 × x) = (1 × 15)
0.75x = 15
x = 15/0.75
x = 20
Therefore, Emily will use 20 minutes or 1/3 hour to walk 1 mile.
Read related link on:
https://brainly.com/question/21405634
Bro pls help em bro pls help me bro
Answers
Answer:
Step-by-step explanation:
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location, assists six customers per hour, on average.
a. Determine the probability the amount of time Gary takes to assist the next customer is less than 12 minutes.
b. Determine the probability the amount of time Gary takes to assist the next customer exceeds 20 minutes.
c. Determine the probability the amount of time Gary takes to assist the next customer is between 8 and 15 minutes (in the interval 8 to 15 minutes)
d. Determine the probability the amount of time Gary takes to assist the next customer is either less than 14 minutes or greater than 22 minutes.
Answers
Step-by-step explanation:
6 customers per hour [tex]=1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)
Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]
Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.
Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]
[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]
a)[tex] \begin{array}{c}
P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\
P(X<12)=0.699 \end{array}[/tex]
[tex]\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\[/tex]
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
The factors of 16-y² are
Answers
Answer:
(4 + y)(4 - y)
Step-by-step explanation:
[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]
PLease answer this for me !!
Answers
Answer:
X^7
Step-by-step explanation:
3+4=7
3 + 4 = 7 so the answer is x^7
you can also see it as
(x • x • x) • (x • x • x • x)
which simplifies to x^7
26 is 65% of what number?
Answers
Answer:
40
Step-by-step explanation:
26 is 65% of 40
Choose the linear Inequality that describes the graph. The gray area represents the shaded region.
Answers
Answer:
3
Step-by-step explanation:
the y axis
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answers
Brand B 2.69/25 = .1076 rounds to .11 cents each
Brand A is the better buy because it is cheaper
use the distributive property to write the following expressions in expanded form 8(a+3b)
Answers
Answer:
8a + 24b
Step-by-step explanation:
'distributive' is just like sharing across
Answer:
8a + 20b + 4b
Step-by-step explanation:
Distributing it would be 8a+24b so expanding it would equal: 8a+20b+4b
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 30% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 50% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:
a. The company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Answers
Answer:
a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.
d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. The company uses flexible work arrangements or gives time off for volunteerism.
41% use flexible work arrangements.
Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So
[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]
0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So
[tex]p = 0.41*0.5 = 0.205[/tex]
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
Here, we use conditional probability.
Event A: Does not give time off for volunteerism
Event B: Uses flexible work arrangments.
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
This means that [tex]P(A \cap B) = 0.205[/tex]
Probability that the company does not give time off for volunteerism:
0.205(uses flexible work arrangments).
100 - 30 = 70% of 59%. So
[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]
0.3317 = 33.17% probability that the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
Again conditional probability.
Event A: Gives time off for volunteerism
Event B: Does not use flexible work arrangements.
Probability of giving time off for volunteerism:
50% of 41%(have flexible work arrangements).
30% of 59%(don't have flexible work arrangements).
So
[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]
Gives time off for volunteerism and does not use flexible work arrangements.
30% of 59%. So
[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]
0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Does not use flexible work arrangments: 59%
Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.
[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]
0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Which expression is equivalent to 3y+4+y
Answers
Patrick will borrow $4300 at 11.5% APR. He will pay it back over 5 years.
What will his monthly payment be? (Use the table.)
$94.56
$96.79
$123.21
$141.81
Answers
Answer:
94.56
Step-by-step explanation:
because 94,56 x 11.5 x 5 =4300
Answer:
Step-by-step explanation:
Equal installments can be found by
I=P((r-1)/(r^n-1)+(r-1)) (note monthly rate is r/12, r is about 1.00958)
I=4300((1.00958-1)/(1.00958^60-1)+0.00958)
I=$94.56
Taco Bell had 60 orders. 60% were tacos and 40% were burritos. How many tacos is that?
Answers
Answer:
60% of 60 is 36. The answer should be 36
Step-by-step explanation:
60 / 100 * 60
0.6 * 60
36
Just divide the number by 100 and multiply it by the percentage.
Mark me as brainliest if you want to.
The slope of a line is 1/3.
What is the slope of a line perpendicular to this line?
Answers
Answer:
-3
Step-by-step explanation:
Slopes of a perpendicular line are the opposite reciprocal.
So, the opposite of 1/3 is -1/3.
Then the reciprocal of -1/3 is -3 (since -3 is -3/1).
Explanation:
See image
Which function is graphed below?
Answers
Answer:
B: y= 3(1/3)^x
Step-by-step explanation:
I graphed it on Desmos
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answers
Answer:
4
Step-by-step explanation:
because
8÷2=4
16÷4=4
24÷6=4
32÷8=4
An equation is shown below: 4(x − 3) − 5(x + 1) = 3 Which statement shows a correct next step in solving the equation? (1 point) The equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication. The equation can become 4x − 3 − 5x + 1 = 3 by applying the associative property of multiplication. The equation can become 4x − 3 − 5x + 1 = 3 by applying the distributive property. The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Answers
Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Which method does NOT describe a way we can find the amount
of wood the team gathered per hour?
Answers
On the graph it says the x-coordinate represents the hours, and if it’s 0 you don’t have any amount of wood per hour.
Answer:
D
Step-by-step explanation:
I just did it :)
A tree initially measures 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a final height of 57 feet. During those 7 1/2 years, what was the average yearly growth rate of the height of the tree?
Answers
Answer:
OK I will dot this after getting 10 followers
Answer:
deez
Step-by-step explanation:
Each peanut butter snack costs $2. Each chocolate snack costs $3. How much does it cost to buy 6 peanut butter snacks and 8 chocolate snacks? Write an equation.
Answers
Answer:
36
Step-by-step explanation:
8x3 is 24
6x2 is 12
when you add those together you get 36
Answer:
2 dollars x 6 Peanut butter snacks= 12 total
3 dollars x 8 chocolate= 24 total
24+12= 36 for the total all together
Step-by-step explanation:
You are buying 6 peanut butter snacks and they are $2 each so you multiply those numbers together for the total of Peanut butter snacks. You are also buying 8 things of chocolate and they are $3 each multiply them together you get the total for the chocolate. if you need the total for all together you add the totals together and you have your over all answer.
What is the height of cylinder pictured below?
144
12
8
54
Answers
Answer:
B. 12 in.
Step-by-step explanation:
Diameter = 5 in.
Diagonal = 13 in.
Apply Pythagorean theorem to find the height of the cylinder.
Thus:
13² - 5² = height²
144 = height²
√144 = height
12 in. = height
Answer:
B. 12 in.
Step-by-step explanation:
what is the equation of a circle with a radius of 7 and centered at point (3,-4)
Answers
Answer:
(x - 3)² + (y + 4)² = 49
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + *y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 4) and r = 7 , then
(x - 3)² + (y - (- 4) )² = 7² , that is
(x - 3)² + (y + 4)² = 49 ← equation of circle
by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answers
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
a) List the differences between Linear and Exponential Functions.
Answers
Answer:
What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
3. Find the length of IH.
U
12
W
V
H
O 2
06
O 12
O 24
Answers
Answer:
0 vault x32 3sqeus 487=8
Step-by-step explanation:
so its 24 of 3 squers