The equation used to find the amount of time Emmet answers phone calls is t +25= 45
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The amount of time Emmet answers phone calls = 20
She spends delivering flowers to patient's room= 25 minutes
She spends meetings volunteering at the hospital= 45
Let t be the amount of time Emmet answers phone calls in the hospital
Hence the equation used to calculate the amount of time spent on calls;
t + 25= 45
Now collect the like terms;
t= 45-25
t= 20
Hence, The equation used to find the amount of time Emmet answers phone calls is t +25= 45
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ1
there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. Of these
students, 9 girls and 3 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
The percentage of the sixth graders at this middle school write left-handed is 8%.
How to calculate the percentage?Since there are there are 90 girls and 60 boys in the sixth grade at kimbrough middle school. The total number will be:
= 90 + 60
= 150 students
Since 9 girls and 3 boys write left-handed, this will give a total of 9 + 3 = 12
Therefore the percentage for left handed people will be:
= Number of left handed people / Total students × 100
= 12 / 150 × 100
= 8%
The percentage is 8%.
Learn more about percentages on:
brainly.com/question/24304697
#SPJ1
-5x8+x²+6 please help
Answer:[tex]\left(x^2+1\right)\left(5x^6-5x^4+5x^2-6\right)[/tex]
Step-by-step explanation:
4. Write the sentence as an inequality. Graph the inequality. A number d is more than 0
and less than 10.
The required inequality is 0 < d < 10 and the graph given below.
What is inequality?
Inequality, When two integers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order.
Given two conditions,
The variable d is greater than 0 and the second condition is
The variable d is less than 10.
From the first condition we get 0 < d ..................(1)
From the second condition we get d < 10 ...........(2)
Combining both the inequalities (1) and (2), we get
0 < d < 10
Therefore, the required inequality is 0 < d < 10.
To learn more about inequality from the given link
https://brainly.com/question/24372553
#SPJ9
the mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5000. the distribution of incomes is skewed to the right. suppose that we select samples of size 43. determine whether the sampling distribution for is normal (or approximately normal) and give its mean and standard deviation.
The sampling distribution for is normal (or approximately normal) and give its mean and standard deviation is the mean is $28520 and its standard deviation is $762.5.
The notion of mean is crucial in both mathematics and statistics. The mean is the average or most frequent value among a set of numbers. It is a statistical measure used to determine the median and mode of a probability distribution's central tendency. It's also known as an expected value. Sum of all observations divided by the total observations equals the mean. The term "standard deviation" refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
Given information :
Mean annual income = $28540
Standard Deviation = $5000
Given sample size is n = 43
Sample size doesn't affect the mean, hence the mean remains the same
New mean = $28540
New standard Deviation = Standard Deviation / n^1/2 = 5000/ (43)^1/2
New standard Deviation = 5000/6.5574 = $762.5
Hence, The mean is $28520 and its standard deviation is $762.5
To read more about standard deviation visit https://brainly.com/question/13905583
#SPJ4
x-3/5=x+3/15 pls help
Answer: The answer is no solution because the x cancels out
If a train runs on a circular track of radius 400 meters through all four sections of the park, about how long is the part of the train track that runs through Water World?
The arc length is given by:
[tex]s=2\pi r(\frac{\theta}{360})[/tex]In this case the radius is 400 m and the angle is 36°, plugging these values we have:
[tex]\begin{gathered} s=2\pi(400)(\frac{36}{360}) \\ s=251.33 \end{gathered}[/tex]Therefore, the part of the train track that runs through water world is approximately 250 meters.
5Eleri has this information about holiday activities.Activity SurfingTime 1 hourCost £38Activity Horse ridingTime 4 hoursCost £45Activity ClimbingTime 3 hoursCost £40Eleri wants to show this information in a table.Organise the information in a table.(1)
Organise the information in a table.
Select all equations that are also equivalent to 0.6+15b+4=25.6
The equations that are equivalent to the expression are 15b = 25.6 - 4.6
and 15b =21
Solving linear equationsA two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on each other (often y and x) (usually x).
Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.
Given the linear equation below;
0.6+15b+4=25.6
Simplify to have;
0.6+15b+4=25.6
15b + 4.6 = 25.6
15b = 25.6 - 4.6
15b =21
Divide both sides by 15
b = 21/15
b = 1.4
This gives the solution to the given linear equation
Learn more on linear equation here: https://brainly.com/question/14323743
#SPJ1
How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?
A. 11 m
B. 4 m
C.
D.
Answer:
√105 meters, or about 10.25 meters
Step-by-step explanation:
[tex] {x}^{2} + {4}^{2} = {11}^{2} [/tex]
[tex] {x}^{2} + 16 = 121[/tex]
[tex] {x}^{2} = 105[/tex]
[tex]x = \sqrt{105} = 10.25[/tex]
Answer:
10.246 or sqrt(105)
Step-by-step explanation:
Given,
length of the ladder = 11 m
distance of the foot of the ladder from the base of the wall = 4 m
According to Pythagoras' theorem,
(hypotenuse)^2 = (side1)^2 + (side2)^2
As per the problem,
hypotenuse = 11m
side1 = distance from wall = 4 m
side2 = height reached by the ladder on the wall
that is, (11)^2 = (4)^2 + (side2)^2
121 = 16 + (side2)^2
121 - 16 = (side2)^2
(side2)^2 = 105
(side2) = sqrt(105) = 10.246 m
Hence, the ladder can reach up to 10.246 m height on the wall.
a man receives extra money from two independent sources on the weekend: one a lottery which he wins 1 100 of the time; the other a friday night card game which he wins 1/3 of the time. what is the probability that he will win money from at least one of the sources this weekend?
Probability that the man wins money from at least one of the sources, a lottery and a card game, is equal to 17/50.
Probability that he wins from first source = 1/100
Probability that he doesn’t wins from first source = 99/100
Probability that he wins from second source = 1/3
Probability that he doesn’t wins from second source = 2/3
Probability that the man wins money from at least one of the sources = 1-(probability that the man wins no money from any of the sources)
[tex]=1-[(\frac{99}{100} )(\frac{2}{3} )] =1-(\frac{33}{50} )=\frac{17}{50}[/tex]
So, the required probability of winning the money by the man from at least one of the sources is 17/50.
To learn more about probability visit:
https://brainly.com/question/13604758
#SPJ4
n a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
We can use the sine rule to find the hole angle, and then find the golfer angle:
[tex]\frac{200}{\sin(115)}=\frac{140}{\sin (Hole)}[/tex][tex]\text{Hole Angle = }\sin ^{-1}(\frac{140\times\sin (115)}{200})[/tex][tex]\text{Hole Angle = }39.37664303\text{ degre}es[/tex]Now we can find the golfer angle:
[tex]\text{Golfer = 180 - 115 - 39.38 }\cong25.6\text{ degre}es[/tex]Answer: 25.6 degrees.
REINFORCEMENT #1 IN MATHEMATICS 10Please draw and fill the table :)
A set of data is given. It is required to find the first, second, and third quartile.
The given data is:
[tex]2,8,9,10,14,15,16,16,17,17,20[/tex]Recall that the lower quartile Q₁, or the first quartile, is the median of the lower half of the data in a set.
The lower half is:
[tex]2,8,9,10,14[/tex]Find the median of the lower half to get the first quartile, Q₁:
Hence, Q₁=9.
Recall that the second quartile Q₂ is the same as the median of the data.
The median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.
Notice that the middle number is 15.
Hence, second quartile Q₂=15.
The upper quartile Q₃, or the third quartile, is the median of the upper half of the data in a set.
The upper half of the data is:
[tex]16,16,17,17,20[/tex]Calculate the median to find the third quartile, Q₃:
It follows that Q₃=17
The complete table is shown below:
HOW ARE THESE GRAPHS THE SAME AND HOW ARE THEY DIFFERENT
In this case, we must analyze the graphs to find the solution.
Step 01:
Graph A
Dollars vs Months
If Months = 4 ===> 400 Dollars
Graph B
Months vs Dollars
If Dollars = 4 ===> 400 Months
If Months = 4 ===> The dollar amount is imperceptible on the graph.
The answer is:
The graphics are different.
In this case, we must analyze the graphs to find the solution.
Step 01:
Graph A
Dollars vs Months
If Months = 4 ===> 400 Dollars
Graph B
Months vs Dollars
If Dollars = 4 ===> 400 Months
If Months = 4 ===> The dollar amount is imperceptible on the graph.
The answer is:
The graphics are different.
I need help with these problems ASAP.
The following cases are described:
The rational function is (f / g) (x) = x - 6, whose domain is all the real numbers.The rational function is (f / g) (x) = 1 / (x + 2), whose domain is all the real numbers except x = - 2.How to derive a rational function by division of functions and find its domain
Algebraically speaking, rational functions are expressions of the form f(x) = p(x) / q(x), such that q(x) ≠ 0, where p(x) is the numerator and q(x) is the denominator. Rational functions can be found by using the defintion of division between two functions:
(f / g) (x) = f(x) / g(x)
And the domain of (f / g) (x) is every value of x such that g(x) ≠ 0. Now we proceed to find all the required information for each case:
Case 1 - f(x) = x² - 3 · x - 18, g(x) = x + 3
Rule: (f / g) (x) = (x² - 3 · x - 18) / (x + 3)
(f / g) (x) = [(x - 6) · (x + 3)] / (x + 3)
(f / g) (x) = x - 6
Domain: Since the resulting expression is a linear function, then the domain of (f / g) (x) is all the real numbers.
Case 2 - f(x) = x - 3, g(x) = x² - x - 6
Rule: (f / g) (x) = (x - 3) / (x² - x - 6)
(f / g) (x) = (x - 3) / [(x - 3) · (x + 2)]
(f / g) (x) = 1 / (x + 2)
Domain: The domain of the rational function is any real number except x = - 2.
To learn more on rational functions: https://brainly.com/question/8177326
#SPJ1
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 21 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
63.7 inches to nearest tenth.
Step-by-step explanation:
The legs of the right triangles formed are 21 inches and 1/2*18 = 9 inches.
So, the hypotenuse (which is one of the congruent sides of the isosceles triangle)
= √(21^2 + 9^2
= √522 inches
Therefore, the triangles perimeter
= 2 * √522 + 18
= 63.695 inches.
Please solve in the substitution method only 3x + 2y = 12x = 2/3 y
To solve the system of equation using substitution method only, here are the steps.
1. Since the 2nd equation has been equated already into x = or y = , we can use this value to substitute the "x" value in the first equation.
[tex]\begin{gathered} 3x+2y=12 \\ 3(\frac{2}{3}y)+2y=12 \end{gathered}[/tex]2. Then, solve for y.
a. Eliminate first the parenthesis by multiplying the number outside it to the number inside it. (3 x 2/3y = 2y)
[tex]\begin{gathered} 2y+2y=12 \\ \text{Add similar terms.} \\ 4y=12 \\ \text{Divide both sides of the equation by 4.} \\ \frac{4y}{4}=\frac{12}{4} \\ y=3 \end{gathered}[/tex]Therefore, the value of y is 3.
3. Plug in the value of "y" to either of the equation to solve for x. For this solution, we will plug it in to the second equation.
[tex]\begin{gathered} x=\frac{2}{3}y \\ x=\frac{2}{3}(3) \\ x=2 \end{gathered}[/tex]The value of x = 2.
To check whether these values are true for both equations, we can plug them in.
[tex]\begin{gathered} 3x+2y=12 \\ 3(2)+2(3)=12_{} \\ 6+6=12 \\ 12=12 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{2}{3}y \\ 2=\frac{2}{3}(3) \\ 2=\frac{6}{3} \\ 2=2 \end{gathered}[/tex]Indeed, the values of x and y are true to both equations. The solution x = 2, y = 3 correct.
Find the missing number so that the equation has no solutions. -4(-X + 8) = -3(2x + 7) + __x + 9
In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.
So, using the variable 'y' to represent the missing number and simplifying the equation, we have:
[tex]\begin{gathered} -4(-x+8)=-3(2x+7)+yx+9 \\ 4x-32=-6x-21+9+yx \\ 4x+6x-yx=32-21+9 \\ 10x-yx=20 \\ (10-y)x=20 \end{gathered}[/tex]Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:
[tex]\begin{gathered} 10-y=0 \\ y=10 \end{gathered}[/tex]So the missing number is 10.
There are two spinners. one spinner has three equally sized sectors that are numbered 1, 2, and 4. the second spinner has four equally sized sectors that are labeled a, b, c, and d. each spinner is spun once. how many outcomes do not show c? responses 4 4, 6 6, 7 7, 9
The number of outcomes that do not show c is calculated to be 9 if each spinner is spun once.
The three possible outcomes of the first spinner are 1,2 and 4 and the possible outcomes of the second spinner are a,b,c and d; so if the two spinners are spun together, the possible outcome will be:
a1, a2, a4
b1, b2, b4
c1, c2, c4
d1, d2, d4
Therefore, there are a total of 12 possible outcomes, and 3 out of these possible outcomes show c. Now the outcomes that do not show c can be calculated by subtraction as follows;
Outcome not showing c = Total outcomes - Outcomes showing c
Outcome not showing c = 12 - 3
Outcome not showing c = 9
Therefore, 9 outcomes do not show c if each spinner is spun once.
To learn more about subtraction; click here:
https://brainly.com/question/13378503
#SPJ4
Answer: 6
Step-by-step explanation:
DJ Joe wants to organize 127 CD's into storage boxes. Each storage box can hold a
maximum of 10 CD's. What is the least number of storage boxes needed?
Answer:
13 storage boxes is the least
Step-by-step explanation:
What we know:
- We have 127 cd's
- We have boxes only able to hold 10
What we need to figure out:
- how many boxes at the least are we going to need
Step 1: Divide
Since we need to figure out how many times 10 goes into 127 we divide 127 by 10 so...
127/10 = 12 with a remainder of 7.
Step 2: Figure out the remainder
Since there are seven left over and you cannot put them in boxes already being used then we put them in a new box, not yet used. That would make it a total of 13 boxes needed at the least.
If you like this answer:
Please like
Please make brainliest
Please rate however you see fit
And follow me if you have any future questions
Thank you.
Simplify the expression: 2v - 7 - 12v + 15
Hey there!
2v - 7 - 12v + 15
COMBINE the LIKE TERMS
= (2v - 12v) + (-7 + 15)
= 2v - 12v - 7 + 15
= -10v + 8
Therefore, your answer should be:
-10v + 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Hello I am not sure for what to do for the end of the equation.
ANSWER
25
EXPLANATION
We are given that p and q intersect to form <1 and <2 that are adjacent.
Let us represent that with a diagram:
We have that <1 and <2 are supplementary.
This means that they add up to 180 degrees.
So:
<1 + <2 = 180
4x - 3 + 3x + 8 = 180
Collect like terms:
4x + 3x + 5 = 180
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
That s the value of x for which <1 and <2 are supplementary.
The length and with of rectangle are consecutive odd integers. the perimeter of the rectangle is 48 meters . find the length and width of the rectangle
The dimensions width and length are 11 cm and 13 cm, respectively .A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
What is perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Perimeter: 48 cm
The dimensions width and length are consecutive odd integers:
Width: x
Length: x+2
Equation:
2 [(x+2) + x] = 48
Find the width x:
2 [2x + 2) = 48
4x + 4 = 48
4x = 48 - 4
4x/4 = 44/4
x = 11 Width
Find the lenght x+2:
x+2 ⇒ 11+2 = 13 Length
The dimensions:
Width: 11 cm
Length : 13 cm
11 and 13 are consecutive odd integers.
Check:
2 (length + width) = 48
2 (13 + 11) = 48
2 (24) = 48
48 = 48
To learn more about perimeter refer to:
https://brainly.com/question/19819849
#SPJ1
Find the product.
(8)(-11)=
Answer:
-88
Step-by-step explanation:
8 x -11 = 88
Cristian bought a new electronic tablet on sale 1/4 off the original Price.
A.What is the amount of the discount if the original price was $755
B.What is the scales price of the Tablet
Answer:
A: $188.75
B: $566.25
Step-by-step explanation:
To find the amount of the discount you can either multiply the original price ($755) by 1/4 or you can divide by 4.
Either way will get you $188.75. This is a quarter of the original price and is what is subtracted from the original sale price ($755). To find the sale price after the discount you do:
755-188.75=$566.25.
To check this you can do 755 × 3/4.
Hope this helps.
Please Mark Brainliest!!!
Answer:
What he said
Step-by-step explanation:
What percentage of this shape is shaded?
Answer:
You need to show the image
Step-by-step explanation:
Answer: 3.45
Step-by-step explanation:
derek enjoys going to the movies. he budgets a month for movies. admissions for one movie cost 7.25. how many movies can he see in one month and stay within budget
Derek can watch a maximum of (M/7.25) number of movies, where $M represents his budget for movie.
What is an inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. There are two types of inequalities namely strict and slack inequalities.
Given is Derek who enjoys going to the movies. He budgets a month for movies and admissions for one movie cost $7.25.
Assume that the budget for movies is $M.
The cost of admission in one movie = $7.25
Suppose that Derek can watch [x] number of movies. Then, the given inequality will represent the number of movies Derek can watch -
7.25x ≤ M
x ≤ (M/7.25)
Therefore, Derek can watch a maximum of (M/7.25) number of movies, where $M represents his budget for movie.
To solve more questions on inequalities, visit the link below-
brainly.com/question/15305613
#SPJ1
PLEASE ANSWER QUICK THIS IS DUE TODAY!!
-6+7m = 6m - m
Answer:
m = 3
Step-by-step explanation:
Hello!
We can solve for m by isolating the variable.
Solve for m-6 + 7m = 6m - m-6 + 7m = 5m => Simplify7m = 5m + 6 => Add 6 to both sides2m = 6 => Simplifym = 3 => Divide by 2The value of m is 3.
HELP ME PLSSS ITS DUE TODAY
Answer:
S': (2, 1)
T': (5, 3)
U': (1, -4)
S'': (1, 3)
T'': (4, 5)
U'': (0, -2)
Step-by-step explanation:
Hi!
For Reflection Across the X-Axis use this :
(x, y) -> (x, - y)
So :
S': (2, 1)
T': (5, 3)
U': (1, -4)
and then the question also asks for a translation so we follow what it gave us:
S'': (1, 3)
T'': (4, 5)
U'': (0, -2)
Please ask me any questions that you still may have!
and Have a great day! :)
Answer:
S' (2, 1) S'' (1, 3)
T' (5, 3) T'' (4, 5)
U' (1, -4) U'' (0, -2)
Step-by-step explanation:
The preimage is S (2,-1), T (5, -3) U(1,4).
Preimage: the original figure prior to a transformation.
The directions say to reflect the preimage over the x-axis.
To do this, follow this transformation rule: (x, y) → (x, -y)
This means keep the x-coordinate as it is, but then change the sign of the y-coordinate.
S (2, -1) → S' (2, 1)
T (5, -3) → T' (5, 3)
U (1, 4) → U' (1, -4)
Next, take the coordinates from the last transformation then translate it using the rule: (x, y) → (x-1, y+2)
This means subtract 1 from the x-coordinate, then add 2 to the y-coordinate.
S' (2, 1) → S'' (1, 3)
T' (5, 3) → T'' (4, 5)
U' (1, -4) → U'' (0, -2)
Notice that each time you do a transformation, you add an apostrophe next to the letter. In math, this symbol is called a 'prime symbol.'
I hope this helped! Let me know if you have any questions.
What is the total amount of the monthly payments for a $6,100, two-year loan with an APR of 5%? Round to the nearest dollar.
Based on the amount of the loan, and the number of periods as well as the APR, the total amount of the monthly payment would be $6,423.
How to find the total monthly payments?The monthly payments for the loan would be constant so they can be considered to be annuities.
The value of these annuities would be:
Present value of annuity = Annuity x ( 1 - (1 + rate)^-number of periods) / rate
6,100 = Annuity x (1 - (1 + 5%/12)⁻⁽²ˣ¹²⁾ / 0.05/12)
Annuity = 6,100 / 22.793898393955992921598741250451
= $267.62
The total monthly payment is:
= 267.62 x 12 x 2 years
= $6,423
Find out more on monthly payments at https://brainly.com/question/8758664
#SPJ1
Emilio borrows $1200 from a bank with 8% simple interest per year.How much will he have to pay back total in 2 years
The amount of money that Emilio will pay back in two years is $1392.00.
What is the accrued amount of the loan?The accrued amount includes principal plus interest.
Simple interest formula can be expressed as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is rate and t is time elapsed.
Given the data in the question;
Principal P = $1200Simple interest rate r = 8%Time t = 2 yearsAccrued amount A = ?First, converting percent to decimal.
Rate r = 8% = 8/100 = 0.08
Now, plug the given values into the above formula and solve for the accrued amount.
A = P( 1 + rt )
A = $1200( 1 + 0.08 × 2 )
A = $1200( 1 + 0.16 )
A = $1200( 1.16 )
A = $1392.00
Therefore, the accrued amount is $1392.00.
Learn more about simple interest here: https://brainly.com/question/25845758
#SPJ1
