Answer:
40 miles
Step-by-step explanation:
Step one:
given data
let the total distance to be covered by Kasey by the end of the month be x
Required is x
so
60% of x= 24
60/100*x= 24
0.6x= 24
divide both sides by 0.6
x= 24/0.6
x=40 miles
for the following exercise, consider the following scenario: a town has an intial population of 50000 . it grows at a constant rate of 5000 per year. find the linear function that model's the town's population p as a function of the year, t , where t is the number of years since the model began.
The required function is P(t)=50000 + 5000t.
In this problem we need to form the function of the population in a town.
Here it is given that the initial population of the town is 50000.
the rate at which the population increases is 5000 per year.
So, the increase for the first year will be 5000. And the population will be 55000.
Then again for the next year the growth will be 5000 and the population will be 50000 + (5000×2)
= 60000
So we can see clearly that the population is varying with time and we can write the function as P(t)=50000 + 5000t where t is the time in years.
To learn more about the function visit the link:
https://brainly.com/question/12431044
#SPJ4
Evaluate each expression. Express the result in scientific notation.
Answer:
4. [tex]6.3 \times 10^4[/tex]
6. [tex]3.75 \times 10^{-19}[/tex]
Step-by-step explanation:
9.45 * 10^10 / (1.5 * 10^6) = 9.45 / 1.5 * 10^10 / 10^6 = 6.3 * 10^4
9 * 10^(-11) / (2.4 * 10^8) = 9 / 2.4 * 10^(-11) / 10^8 = 3.75 * 10^(-19)
two positive integers have a product of 176. one integer is 5 less than the other integer. which equation can be used to find the value of x, the greater integer? x2 5
x(x – 5) = 176 is the correct equation to find the greater integer.
As the question mentions, the greater integer is x. So, the smaller integer will be (x - 5). Also, we are informed that their product is 176.
Now, representing the given information as mathematical expression -
x(x – 5) = 176
On further multiplication on Left Hand Side, we get the equation -
x² - 5x = 176
Rewriting the equation -
x² - 5x - 176 = 0
Further solving the equation to validate it.
x² - 16x + 11x - 176 = 0
x (x - 16) + 11 (x - 16) = 0
(x - 16) (x + 11) = 0
x = 16, -11
As stated, the integers are positive. So, the value of x and hence greater integer is 16.
Value of small integer = 16 - 5
Value of small integer = 11
So, the two integers are 16 and 11. Their product is 176 hence, our formed equation is correct.
Therefore, the equation that can be used to find x is : x(x – 5) = 176.
Learn more about product of integers -
https://brainly.com/question/855270
#SPJ4
The complete question is -
Two positive integers have a product of 176. One integer is 5 less than the other integer. Which equation can be used to find the value of x, the greater integer?
x² + 5 = 176
x(x + 5) = 176
x(x – 5) = 176
x² – 5 = 176
Multiply. 4 × ( - 7 )
The answer is -28
How to calculate the multiplication ?We're asked to multiply 4 by -7
The multiplication is straight forward, the first number is a positive integer and the second number is a negative integer
4 × (-7)
= -28
Hence the multiplication of both numbers will give -28
Read more here
https://brainly.com/question/22653348?referrer=searchResults
#SPJ1
find an equation for the line that passes through the points (6,-5) and (-2,5)
Answer: I think ok not sure but yet positive but i think it is y= -7
Step-by-step explanation:
Agnes scored 82 on her first test, 69 on her second test, and 84 on her third test. Suppose Agnes has one more test in the semester and what’s to finish with a mean im score of 80
What score does she need on her last test to finish with a mean score of 80?
Answer:
Agnes would need to score a 85 to get an average of 80.
Step-by-step explanation:
[tex]\frac{82+69+84+x}{4}[/tex] = 80 multiply both sides by 4
82+69+84+X = 320
235+X = 320 subtract both sides by235
x = 85
Lesson 2: Data Representations
The dot plot, histogram, and box plot represent the distribution of the same data in 3 different ways.
Battery life in hours
What information can be seen most easily in the dot plot
x=x
Step-by-step explanation:
finding by mathematical operation and distribution law over multiplication added with subtraction is the formula now it might be easy for you
Simplify 5/10 hekp pls will give brainliest
Write the equation of the line in fully simplified slope-intercept form.
x
Jane ordered a few moving boxes from a local store as she is relocating to Atlanta.
She returned 28 damaged boxes. She allotted the remaining boxes equally for
each of the four rooms from which her belongings had to be packed. If 5 boxes
were used for each
room, how many boxes did she receive from the store
initially?
48 boxes did she receive from the store initially in probability.
How does probability explain work?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.Basic probability is governed by three primary rules: the addition rule, the multiplication rule, and the complement rule.Since there is a 50% chance that the outcome will be heads, we can anticipate 50 heads. But when we actually test it, we may get 48 heads, 55 heads, or anything else at all, though it will typically be a figure close to 50.Based on the given conditions formulate = 28 + 5 * 4
Calculate the product or quotient = 28 + 20
calculate the sum or difference = 48
get the result = 48
Learn more about probability
brainly.com/question/11234923
#SPJ9
what are the area and perimeter of a polygon with vertices (1,-2) , (1,5) , (7,-2)
The area and perimeter of a polygon with vertices (1,-2) , (1,5) , (7,-2)
A=23.27644 units^2
What are the area and perimeter of a polygon with vertices (1,-2) , (1,5) , (7,-2)?Let
A= (1,-2) ,
B=(1,5) ,
C=(7,-2)
Therefore, the equation for distance is mathematically given as
d=\sqrt {(x^2-x^1)^2+(y^2-y^1)^2}
Therefore For AB
[tex]d=\sqrt {(-2-1)^2+(5-1)^2}[/tex]
d=5
For BC
[tex]d=\sqrt {(5-1)^2+(-2-7)^2}[/tex]
d=9.84
for CA
[tex]\sqrt {(5-1)^2+(-2-7)^2}[/tex]
9.486
Hence, Perimeter
P=9.486+9.84 +5
P=24.326
In conclusion, the Area of a triangle
A = √s(s−a)(s−b)
Where
s=24.326/2
Therefore
[tex]A=\sqrt{24.326/2((24.326/2)-5)((24.326/2)-9.486 )((24.326/2)-9.84 )}[/tex]
A=23.27644 units^2
Read more about Perimeter
https://brainly.com/question/6465134
#SPJ1
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line as shown in the diagram attached below = rise/run = 3/5.
How to Find the Slope of a Line Using Rise and Run?The rise of a line over the run of a line would give us the slope of a line on a coordinate plane.
With the given line in the diagram, the image attached below shows the rise as represented by a red line while the run is represented by the blue line.
Therefore, we have:
Run = 10 units
Rise = 6 units
Slope (m) of the line = rise/run = 6/10
Simplify
Slope (m) of the line = 3/5
Therefore, the slope of the line as shown in the diagram attached below = rise/run = 3/5.
Learn more about the slope on:
https://brainly.com/question/3493733
#SPJ1
4. Gilbert needs his work double-checked. Choose the best answer for Gilbert's total estimate. Estimate to the nearest dollar amount. Show each step.
Answer: D $30
Step-by-step explanation:
$12.79 rounds to $13
$2.33 round to $2
$14.65 rounds to $15
Add the estimates: 13+2+15= $30
Find the value of x in each case please
The value of x as given in the diagram is 18
Supplementary anglesThe sum of supplementary angles is 180 degrees. From the given figure;
The measure of the angle 2x and 8x are supplementary such that;
2x + 8x = 180
10x = 180
Divide both sides by 10 to have:
10x/10 = 180/10
x = 18
Hence the value of x as given in the diagram is 18
Learn more on lines and angles here: https://brainly.com/question/25770607
#SPJ1
Fraction between 0.3 and 0.2
Answer:
1/4
Step-by-step explanation:
(0.2+0.3) / 2 = 0.25
0.25 = 25% = 25/100 = 1/4
Answer: 3/2
Step-by-step explanation:
[tex]\displaystyle\\0.3:0.2=\\\\\frac{3}{10} :\frac{2}{10}=\\\\ \frac{3}{10}*\frac{10}{2} =\\\\\frac{(3)(10)}{(10)(2)}=\\\\ \frac{3}{2}[/tex]
Helpppppp
Question 2 (Essay Worth 2 points)
(01.02 MC)
Answer:
x⅔
Step-by-step explanation:
1. we understand the concept that x÷x is a subtraction as an instance, x³/x² = x¹ so we can apply this knowledge in this question
2. x⅚ / x⅙ --> x⅚-⅙
--> x^4/6 [simplify this]
--> x^4/6 [ divide 2 at the numerator and also the denominator]
--> x⅔
Last but not least, you got your 2 points
in one study, small businesses starting out spent what percentage of sales on marketing? question 22 options: 5 to 10% 8 to 15% 15 to 19% 25 to 32%
The proportion of initial sales were spent on marketing by small businesses is between 5 and 10%.
The correct option is A.
Briefing:The U.S. Small Business Administration estimates that small businesses typically want to spend between 7-8% of one‘s revenue on marketing, provided that their companies have profit margins of 10-12%.
How does marketing influence sales?In order for sales to know exactly where the buyers are and assist them in progressing toward a purchase, marketing can give sales representatives the opportunity to be as knowledgeable as the buyers themselves. In summary, marketing can actually improve sales representatives' performance, which can have an effect on revenue generation.
To know more about small businesses visit:
https://brainly.com/question/13424073
#SPJ4
I understand that the question you are looking for is:
In one study, small businesses starting out spent what percentage of sales on marketing?
A) 5 to 10%
B) 8 to 15%
C) 15 to 19%
D) 25 to 32%
How many times larger is (1.088 x 101) than (8 x 10−1)?
13.6
8.704
7.35
0.136
Answer:
0.136
Step-by-step explanation:
If we want to find out how many times larger a number is, they need to have the same amount of exponents to make it easier.
We can move the decimal point in (8 * 10^-1) (which equals 0.8) by 1 to the right, so it's exponent is now 1, same as the (1.088 * 10^1). Now we can divide.
1.088/8 is 0.136, so that is your answer.
Sheila wants to build a rectangular play space
for her dog. She has 100 feet of fencing and
she wants it to be 5 times as long as it is wide.
What dimensions should the play area be?
The dimensions of the rectangular play area should be: 41.5 x 8.3 feet.
What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.Now,
Given:
Fencing available = 100 feetLength = 5 times the widthTo find: Length and Width.
Let the width of the rectangular play area be x.
Then, the length = 5x
According to the formula of perimeter of a rectangle,
100 = 2 (x + 5x)
=> 50 = 6x
=> x = 8.3 feet (Approx.)
That is the width of the play area = 8.3 feet
=> Length = 5(8.3) = 41.5 feet.
Hence, The dimensions of the rectangular play area should be: 41.5 x 8.3 feet.
To learn more about rectangles, refer to the link: https://brainly.com/question/25292087
#SPJ4
Which choice is a correct equation for the graph shown below?
A y = 2x + 20
B. y = 3x + 1
C. y = 10x + 5
D. y = 15x + 35
Answer:
C
Step-by-step explanation:
y = mx +b The b is where the graph crosses the y axis. If you look a the graph it is crossing at 5. The m is the slope. It is the change in y over the change in x. If you start at 5 and go up10 and over 1, you will be on the line. So our slope is 10/1 which is just 10
Answer:
C
Step-by-step explanation:
it starts on 5 and goes up by 10
What is the value of -56+2(-3) - (-80)
Answer:
18
Step-by-step explanation:
-56+2(-3) - (-80)
Simplify.
-56+2(-3) - (-80)=
=-56 - 6 + 80=
=-62+80=18
Hope this helps!
Please mark as brainliest if correct!
in a game of poker, what is the probability that a five-card hand will contain (b) four of a kind, and (c) a full house (three cards of one value and two cards of another value)?
(b) We have 13 possibilities that a five-card hand will contain four of a kind.
(c) We have 12 possibilities that a five-card hand will contain a full house.
What do you mean by probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility.
Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half (which could also be written as 0.5)
To learn more about Probability, Visit:
https://brainly.com/question/13604758
#SPJ4
Please help with problem 12
The pair of ratios that form a proportion is given by:
B) 5/15 and 4/12.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
A pair of ratios will form a proportion if the division of the denominator by the numerator is the same, hence:
15/5 = 3.12/4 = 3.The pair of ratios that form a proportion is given by:
B) 5/15 and 4/12.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
HELP !!!
(Laws of Exponents with Whole Number Exponents MC)
Evaluate 3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power.
1
3.5
7
12.25
The value of the expression [3.5⁷ / 3.5⁶]² will be 12.25. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ [3.5⁷ / 3.5⁶]²
Simplify the expression, then the value of the expression will be
⇒ [3.5⁷ / 3.5⁶]²
⇒ [3.5]²
⇒ 12.25
The value of the expression [3.5⁷ / 3.5⁶]² will be 12.25. Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
Hailey must make at least $200 in sales each week. So far this week, she has already made $60 in sales. How much more does she need in sales this week (x) in order to meet her goal?
Answer:
Step-by-step explanation:
If she made 60$ she only needs 140$ more to get to 200$
What is f(a+2)? Help
Answer:
[tex]\frac{(5+a)}{(a-1)}[/tex]
Choice A
Step-by-step explanation:
[tex]f\left(x\right)\:=\:\frac{\left(3+x\right)}{\left(x-3\right)}[/tex]
[tex]x = a + 2[/tex]
Substitute x with a+2
Numerator becomes [tex]3 + (a+2) = 5+a[/tex]
Denominator becomes [tex](a+2) - 3 = a+2-3 = a - 1[/tex]
Therefore the fraction becomes [tex]\frac{(5+a)}{(a-1)}[/tex]
questionten times a number, x, is one-half the sum of the number and three. which answer represents this situation? 10x
The solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
Ten times a number, x, is one-half the sum of the number and three. Then the equation will be
10x = 1/2(x + 3)
Simplify the equation, then we have
20x = x + 3
19x = 3
x = 3 / 19
Thus, the solution of the equation 20x = x + 3 will be 3 / 19. Then the correct option is A.
Your question was incomplete, probably the question was...
Ten times a number, x, is one-half the sum of the number and three. Which answer represents this situation?
A. 10x = 1/2(x + 3)
B. 10x = 1/2x
C. 10x = 1/2x + 3
D. 10x = (x + 3)
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ4
(2.5+5/3)divided 4/3-2.25
Answer:
7/8
Step-by-step explanation:
add your decimal your fraction inside parentheses then divide it by the rest of the equation
determine if the numerical value describes a parameter or a statistic. a recent poll of 2707 home owners in michigan showed that the average price of their houses is $265,000
The numerical value is a statistic.
What is a statistic?A parameter is a value that is used to describe a whole population. A statistic is a number that describes a sample.
There would be more than 2707 homeowners in Michigan. Thus, only a sample of all homeowners was used. Since a sample was used the numerical value is a statistic.
To learn more about statistic, please check: https://brainly.com/question/14275186
#SPJ1
Point M is the midpoint of AB. The coordinates of point A are (−8, 2) and the coordinates of M are (−2, 2). What are the coordinates of point B?