The correct decimal that represents eighteen and eight hundredths is 18.08, with the '8' in the hundredths place following the whole number 18.
The decimal that shows eighteen and eight hundredths is 18.08. This is because the number 18 represents the whole part, and the decimal part .08 represents the hundredths place. To express this, we place a decimal point after the whole number 18, followed by two digits: the first digit after the decimal point for tenths (which is 0 in this case), and the second digit for hundredths, which is 8. Thus, the correct decimal representation would be 18.08, as opposed to 18.80 which shows eighty hundredths, or .1808 which implies a number less than one with eight hundredths and eight ten-thousandths.
Carl borroowed $2,500 for six months at an annual interest rate
of 11%. How much must he repay at the end of six months?
a. $275
b. $2,637.50
c. $87.50
d. $2,762.50
Read the word problem. Hershel buys 5 bags of cookies, 3 bags of granola, and several bags of fruit snacks from a bake sale. In total, he buys 10 bags from the bake sale. How many bags of fruit snacks did Hershel buy? Which type of word problem is shown? part-whole comparison multiplication division
Final answer:
Hershel bought 2 bags of fruit snacks in a part-whole comparison word problem, where the total (10 bags) minus the sum of known parts (5 bags of cookies and 3 bags of granola) equals the unknown part.
Explanation:
The word problem presented asks how many bags of fruit snacks Hershel bought if he bought a total of 10 bags, including 5 bags of cookies and 3 bags of granola. To solve this, we subtract the known quantities from the total: 10 total bags - 5 bags of cookies - 3 bags of granola = 2 bags of fruit snacks.
The type of word problem shown is a part-whole comparison because it involves figuring out a missing part of a whole based on the other known parts.
part one: How do you solve a system of equations approximately using graphs and tables?
part 2: A lake has a native population of 1,000 frogs. The native frog population increases at a rate of 200 frogs per year. A new species of 10 frogs migrates to the lake. This new species’ population increases at a rate of 50% per year. When will the two populations equal each other? Select to reveal each frog population’s growth model.
the rest: A system of equations can be created with the two functions to determine when the populations will have the same population output value, y.
y = 200x + 1,000
y = 10(1.5x)
To determine when the populations will be equal, set the equations equal to each other, and solve for x.
200x + 1,000 = 10(1.5x)
This equation is a little more challenging to solve by algebraic methods. In this lesson, you will solve systems of equations like the one above approximately by effectively using technology and tables.
what is x in the equation
4(x+6)= 5(x+9)+4x?
The temperature of a cup of coffee t minutes after it has been poured is described by the function
C(t) = 20 + 60(0.95)^t .
a. How many minutes does it take for the coffee to cool to a temperature of d degrees?
b. About how fast is the temperature dropping when t = 1?
Factor completely 3x(x + 2) + 4(x + 2). (1 point)
(x + 2)(7x)ANSWER
[tex](x + 2)(3x + 4)[/tex]
EXPLANATION
The given expression is
[tex]3x(x + 2) + 4(x + 2)[/tex]
We can see that (x+2) is the greatest common factor.
We factor to obtain;
[tex](x + 2)( 3x + 4)[/tex]
The correct choice is C.
Answer:
(x + 2) (3x + 4)
Step-by-step explanation:
I got it correct on my test
[tex]y = - x + 10 \\ y = x + 2[/tex]
Multiple Choice
For questions 1–7, choose the word or phrase that best defines the italicized word.
1. "Only reapers reaping early/In among the bearded barley…" (1 point)
people who toil
people who obey
people who
Answer:
people who toil
Step-by-step explanation:
The above lines have been taken from the poem "The Lady of Shalott" written by Alfred, Lord Tennyson. The poem is about the mysterious Lady of Shalott who lives on the Island of Shalott. People who wanted to see her have never got the opportunity to see her. On the other hand, the people who work in the fields have listened to her singing an eerie song. The song which the lady sings echoes all over the river Camelot.
How do I find x in this triangle?
A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measures correspond to the length to the laddder? Round to the nearest hundredth
Answer:
20.40
Step-by-step explanation:
Test Yourself
ANSWER NOW PLEASE! EXTRA POINTS!
1) Martha is covering this trapezoid-shaped board with fabric. How many square feet of fabric does Martha need?
2) A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters,what is the area of the garden?
Calculate the altitude of a triangle corresponding to its shortest side of it's area is 720cm², perimeter is 180cm and two of its sides are 80cm and 18cm.
You are an accountant doing an audit for a law firm. A paralegal worked for a client for 5 hours per day for 3 days. The client was billed $50 per hour, and the paralegal was paid $30 per hour. After the paralegal’s wages were paid, what was the amount made by the law firm?
At the Roadside Restaurant, each milkshake comes with 2 straws.
Which equation shows the number of straws the restaurant will use if they serve m milkshakes?
Use t to represent the total number of straws used and m to represent the number of milkshakes served.
A.
t = 2m
B.
t = 2 + m
C.
t = 2 – m
D.
t =
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
these equations must be for pre-algerbra
Answer:
One step equations
3 + x = 5 ___x = 2
Y + 14 = 20____x = 6
Equations with Fractions
4/5q = 32___q = 40
3/4x = 6___x = 8
Equation with decimals
3.2x – 2.7 = 1.2x___x = 1.35
Equation with distributive Property
7x + 3 (x + 1) = 10x + 3
Infinitely Many solutions
Real World Problem
Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downtown and has found a great place where the rent is $2,300 per month. Based on that, how much should Monica earn each month to afford the rent on her cool new place?
Hope This Helps!
please help me on this question
and explain.
Mrs. Cho has 24 students in her class. Some of her students are also in the play. Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
Please help! Picture included!!!
In the figure below, triangle ABC is similar to triangle PQR.
What is the length of PQ?
A)18
B)4
C)32
D)6
What is the value of n?
Enter your answer in the box.
n =
Answer:
The value of n is 4.
Step-by-step explanation:
Theorem of intersection of two cords : If two cords AB and CD intersecting at point P, then
[tex]|AP|\times |PB|=|CP|\times |PD|[/tex]
Using the theorem of intersection of two cords, we get
[tex](n-2)\times 16=8\times (n+8)[/tex]
Use distribution property,
[tex]16n+32=8n+64[/tex]
[tex]16n-8n=64-32[/tex]
[tex]8n=32[/tex]
Divide both sides by 8.
[tex]n=\frac{32}{8}[/tex]
[tex]n=4[/tex]
Therefore the value of n is 4.
0.135 written as a fraction is _____.
The decimal 0.135 can be written as 27/200 in fractions.
What is a Fraction?A fraction is a number that can be expressed as p/q, where q is not equal to zero.
It is defined as part of the whole.
0.135 is a decimal and to convert into a fraction it has to be written as
=135/1000
On simplifying the fraction
=27/200
Therefore, the decimal 0.135 can be written as 27/200 in fractions.
To know more about Fraction
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At Devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.
In the second week, he spent $2 more in total for the 5 lunches than the first week.
What is the increase in the mean for the second week compared to the first?
Round the answer to the nearest penny.
Enter your answer in the box.
$
The increase in the mean for the second week compared to the first with the given parameters is; $0.40
Let us first find the mean of the lunch costs for the first week;
Mean for first week = ($12.99 + $10.50 + $9.89 + $6.90 + $7.58)/5 = $9.572
We are told that he spends a total of $2 more on lunch in the second week.
Second week total = $12.99 + $10.50 + $9.89 + $6.90 + $7.58 + $2 = $49.86.
Mean of second week = 49.86/5 = $9.972
The increase in the mean for the second week compared to the first is;
9.972 - 9.572 = $0.40
Read more about average increase at; https://brainly.com/question/11360390
Which transformations are rotations?
Choose all answers that are correct.
Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process. Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.
The graph of a linear function has a slope of 5, and it passes through the point (–7, 5). What is the value of the dependent variable when the independent variable is equal to 2?
Final answer:
To find the value of the dependent variable, we use the point-slope form of the linear equation. Using the given slope of 5 and point (-7, 5), we first find the y-intercept to be 40. We then calculate the dependent variable's value to be 50 when the independent variable is 2.
Explanation:
The student has asked about the value of the dependent variable when the independent variable is 2 for a given linear function that has a slope of 5, and passes through the point (–7, 5). To find this value, one should use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, using the given point (–7, 5), we can find the y-intercept by substituting the slope and point into the equation:
y = 5x + b
5 = 5(-7) + b
b = 5 + 35
b = 40
So the equation of the line is y = 5x + 40. Now, to find the value of y when x is 2:
y = 5(2) + 40
y = 10 + 40
y = 50
Therefore, the value of the dependent variable when the independent variable is 2 is 50.
solve - 2 x 3 + 22 - 8 - 2 =
in a exponent 3 + 3 + 3 + 3 + 3
If (3x + 17) is equivalent to (4x - 8) what is x
Select the scenarios that correctly represent the given graph.
Answer:
The correct options are 1 and 2.
Step-by-step explanation:
From the given graph it is clear that it is a graph of an exponential function and the graph passes through the points (0,100) and (1,150).
The general form of an exponential function is
[tex]y=ab^x[/tex] .... (1)
Where, a is the initial value and b is growth rate.
The initial value is 100 because the y-intercept of the graph is 100.
The graph passes through (1,150). Put y=150, a=100 and x=1 in the above formula to find the value of b.
[tex]150=100b^1[/tex]
Divide both the sides by 100.
[tex]1.5=b[/tex]
The value of b is 1.5.
Substitute a=100 and b=1.5 in equation (1).
[tex]y=100(1.5)^x[/tex]
It means the value is 1.5 times larger in every unit of time.
It can be written as
[tex]y=100(1+0.5)^x[/tex]
It means the initial value increased by 50% per unit of time.
So, the required scenarios are
1. The amount of money in a bank account increased by 505 per year.
2. The amount of a substance is one and a half times larger after every minute.
Therefore the correct options are 1 and 2.
Which ordered pairs are solutions to the inequality 2x+3y≥−1?
Final answer:
To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can solve the inequality and substitute different x-values to find corresponding y-values.
Explanation:
To find the ordered pairs that are solutions to the inequality 2x+3y≥−1, we can use a graph or a table of values.
Let's solve the inequality for y:
2x + 3y ≥ -1
3y ≥ -1 - 2x
3y ≥ -2x - 1
y ≥ (-2/3)x - 1/3
Now we can choose some x-values and substitute them into the inequality to find corresponding y-values:
Let's choose x = 0:
y ≥ (-2/3)(0) - 1/3
y ≥ 0 - 1/3
y ≥ -1/3
So one ordered pair that is a solution is (0, -1/3).
Let's choose x = 3:
y ≥ (-2/3)(3) - 1/3
y ≥ -2 - 1/3
y ≥ -7/3
So another ordered pair that is a solution is (3, -7/3).
Could I get the answer, all work and explanation for this problem?
my sister needs help on this?can anyone give an explanation and answer/show work? you'll be brainliest if you do! thank you so much for taking the time :) v
Felicity recorded the number of laps she swam each month for 7 months.Her data is shown.
112,134,150,98,120,68,116
Which is the mean absolute deviation to the nearest whole number of Felicity's lap data?
A.16
B.18
C.20
D.36
Answer C
to calculate mean absolute deviation, we need to use the formula = (∑|x-mean|)/n
where x is each term given in data set
n is number of terms = 7
mean = sum of terms / n = (112+134+150+98+120+68+116)/7 = 114
now find (∑|x-mean|) = 138
MAD = (∑|x-mean|) / n = 138 /7 = 19.714 = 20