The equation that models the balance b after m months is b = 1800 - 150m
Initial cost = 1800
Difference in balance = 1350 - 1050 = 300
Number of months used = 5 months - 3 months = 2 months
Therefore, the equation that models the balance b after m months will be:
b = 1800 - (300/2)m
b = 1800 - 150m
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I don't get this I need help
determine whether the ordered pair (12, -5) is a solution to the equation 3x-3y=21
a) identify the GCF and LCM of 360 and 480
b) Identify four other common factors
c) identify four other common multiples
a) The GCF of 360 and 480 is 120 and the LCM is 7200.
b) Four other common factors are 1, 2, 3, and 5.
c) Four other common multiples are 14400, 21600, 28800, and 36000.
Explanation:To identify the GCF, or Greatest Common Factor, and LCM, or Least Common Multiple, of 360 and 480, we must consider their factorizations. The prime factorization of 360 is 2^3 * 3^2 * 5, and for 480 it is 2^5 * 3 * 5. The GCF is found by taking the lowest power of each prime factor in both numbers, which is 2^3 * 3 * 5 = 120. The LCM is found by taking the highest power of each prime factor in both numbers, which is 2^5 * 3^2 * 5 = 7200.Other common factors can be any factors of the GCF. Here are four: 1, 2, 3, and 5.Common multiples can be any multiples of the LCM. Here are four examples: 14400, 21600, 28800, and 36000.Learn more about GCF and LCM here:https://brainly.com/question/32581907
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find 1/9 as many as 3 divided divided by 5
what is the slope of this line −4x+7=2y−3
The slope of the line −4x + 7 = 2y − 3 is 2.
Explanation:To find the slope of the line, we need to rewrite the equation in the form y = mx + b, where m represents the slope.
Start by rearranging the given equation:
−4x + 7 = 2y − 3
Add 4x to both sides:
7 = 2y − 4x − 3
Combine like terms:
7 = 2y − 4x − 3
Now, isolate the y variable:
2y = 4x + 10
Divide both sides of the equation by 2:
y = 2x + 5
The equation is now in the form y = mx + b.
So, the slope of the line is 2.
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4:189. Estimate the quotient
Final answer:
The estimated quotient of 4 divided by 189 is approximately 0.02, obtained by rounding 189 to 200 for easier calculation.
Explanation:
To estimate the quotient of 4 divided by 189, we can round the numbers to figures that are easier to work with and that will give us a ballpark figure of the actual quotient. Now, 189 can be rounded to 200 for estimation purposes because it is the nearest number that is easy to divide with 4. Then, we divide 4 by the rounded-up figure:
4 ÷ 200 = 0.02
This result indicates that the estimated quotient is 0.02. Keep in mind that this is a rough estimate and the actual quotient will be slightly higher since we rounded 189 up to 200.
Margie draws a rectangle and colors 3/5 of it blue. She then draw red stripes over 1/2 of the colored parts. How much is the stripes of the rectangle
she drew stripes on 1/2 of the 3/5 colored art
1/2 * 3/5 = 3/10 of the rectangle is striped
What is the y-intercept of the graph that is shown below?
(–2, 0)
(–1, 2)
(0, 4)
(4, 0)
Answer:
The correct answer is C- (0,4)
Step-by-step explanation:
edge 2021
The y-intercept of the given graph is (0,4).
What is y-intercept?The y-intercept is the point where the graph intersects the y-axis.
Given a graph, where a straight line is intersecting x-axis at -2 and y-axis at 4.
So, x-intercept = (-2,0)
y-intercept = (0,4)
Hence, The y-intercept of the given graph is (0,4).
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You are heating liquid in a chemistry lab. Four minutes ago, the temperature of the liquid was -4 degrees Celsius. Since then, it has been going up at a steady rate of 2 degrees per minute.
A. Write an equation that tells you the relationship between temperature and time at any given time. Designate the current time as 0.
B.Use your equation to predict the temperature of the liquid 15 minutes from now.
Help with number 2 please
Best answer I will mark as brainliest
1. What was the second of two crucial events that increased U.S. concerns about the spread of
communism in 1949?
(1 point)
Communists came to power in China.
Lenin took the Russian tsars from power.
The Berlin Wall was built.
The Soviets developed an atomic bomb
2. Despite the support of American troops, which country fell to communism in 1975? (1 point)
Korea
Vietnam****
China
Germany
3. In what year did India gain its independence? (1 point)
1901
1922
1947
1975
for all three you will get 30 points thanks
Answer:
1.The berlin wall was built
2.Germany
3.1947
Which equation will help you solve this problem? Each boxcar in a toy train is the same length. There are 3 boxcars. Their total length is 21 inches. How long is each boxcar?
To find the length of each boxcar, we can use the equation length of each boxcar multiplied by the number of boxcars equals the total length. Applying this equation to the given problem, we find that each boxcar is 7 inches long.
Explanation:To solve this problem, we can use the equation
In this case, the length of each boxcar is the unknown we are trying to find, the number of boxcars is 3, and the total length is 21 inches.
So, the equation will be where x represents the length of each boxcar. To find x, we need to divide both sides of the equation by 3. Thus, x=7
Therefore, each boxcar is 7 inches long.
What is K/13 =0.6/0.5
R=5(CA−0.3) solve for c
Final answer:
To solve the equation R=5(CA−0.3) for C, divide both sides by 5, add 0.3 to both sides and then divide by A.
Explanation:
To solve the equation R = 5(CA - 0.3) for C, you would first divide both sides of the equation by 5 to isolate the (CA - 0.3) term on one side:
R / 5 = CA - 0.3
Next, you would add 0.3 to both sides of the equation to get CA by itself:
(R / 5) + 0.3 = CA
Finally, to solve for C, you would divide the entire equation by A, assuming A is not zero:
C = [(R / 5) + 0.3] / A
Which is a better buy
5 for $1.00
Or
12 for $3:00
I really need help ASAP
a root beer factory produces 132 554 cases in 100 days. About how many cases does the factory produce in 1 day? round your answer to the nearest tenth of a case. Show yohr thinking on the number line.
The robot beer company produces [tex]\fbox{\bf1325.5}[/tex] cases in one day.
Further explanation:
Given:
There is a robot beer factory that produces 132554 cases in 100 days.
Calculation:
As it is know that m objects produces [tex]x[/tex] cases in [tex]n[/tex] days, then [tex]m[/tex] objects produces cases in 1 day is [tex]\dfrac{x}{n}[/tex].
As it is given that the robot beer factory that produces 132554 cases in 100 days.
That means robot factory has total 132554 case which is produced by the worker of this company in 100 days.
Then the robot beer factory produces [tex]x[/tex] cases in 50 days is,
[tex]\begin{aligned}x&=132554\times\frac{{50}}{{100}}\\&=66277\\\end{aligned}[/tex]
That means if the robot beer company works for 50 days then the company produces 66277 cases which is the half of the 132554 cases as the number of days reduces to half.
The robot beer factory produces [tex]x[/tex] cases in 1 days is,
[tex]\begin{aligned}x&=132554\times\frac{1}{{100}}\\&=1325.54\\\end{aligned}[/tex]
That means if the robot beer company works for 1 days then the company produces 1325.54 cases which is the one hundredth of the 132554 cases as the number of days reduces to hundred times.
Since, we have to round the cases up to one decimal, the robot beer company produces [tex]\fbox{\bf1325.5}[/tex] cases in one day.
The robot beer company produces [tex]\fbox{\bf1325.5}[/tex] cases in one day.
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Answer detail:
Grade:Middle school
Subject:Mathematic
Chapter: Time and Work
Keywords:robot, factory, beer, 132554, cases, 100, days, 1, time, work, ratio, multiplication, division, 1325.54, 1325.5, produces.
Factory produces 1325.5 cases to the nearest tenth in 1 day.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Number of cases produced by factory = 132,554
Number of days = 100 days
Thus, Number of cases produce in 1 day = Number of cases produced / Number of days
⇒ Number of cases produce in 1 day = 132,554/100
⇒ Number of cases produce in 1 day = 1325.54
Round to nearest tenth, We look at the second decimal place which is 4
that is less than 5 so we leave the tenth place alone
⇒ Number of cases produce in 1 day = 1325.5
Thus, Factory produces 1325.5 cases to the nearest tenth in 1 day.
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How do solve -1.3m=3.12
What is the $25 fee Maria’s mother paid when Maria visited the doctor
For what value of x does g(x)=0 ?
Answer:
6 Because it crossed the X-Axis.
Step-by-step explanation:
Eli need to save $235 to earn money he plans to mow lawn’s and charged $21 for each write two estimate you like you to determine the number of lawns he need to mow decide which estimate you think is the better one Eli to use explain your reasoning
A block of wood has a mass of 120g and a volume of 200cm3. What is the density of the wood?
Please provide an explanation!
Answer: [tex]0.6\ g/cm^3[/tex]
Step-by-step explanation:
We know that the formula to find density is given by :_
[tex]\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]
Given : Mass of block of wood = 120 g
Volume = [tex]200\ cm^3[/tex]
Then, the density of wood is given by :_
[tex]\text{Density}=\dfrac{120}{200}=0.6\ g/cm^3[/tex]
Hence, the density of wood = [tex]0.6\ g/cm^3[/tex]
How do you write " Five less than the product of a number n and 26 is at least 8"
To write 'Five less than the product of a number n and 26 is at least 8', we can use an inequality to represent the given information.
Explanation:To write "Five less than the product of a number n and 26 is at least 8", we can use an inequality to represent the given information. The word "less than" suggests the use of the less than symbol '<'. 'Product' means multiplication, so we have n * 26. The word 'is' indicates the use of the equal sign '=', and 'at least' means greater than or equal to, so we use the greater than or equal to symbol '>='. Combining all the information, the equation becomes:
n * 26 - 5 >= 8
Using this equation, you can find the value of n that satisfies the inequality.
Jane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.20 per mile driven. The second plan has no initial fee but costs $0.70 per mile driven. How many miles would Jane need to drive for the two plans to cost the same?
donovan. and three friends go to a fair they each spend 1/2 of their money on rides. then, they each spend $3 on food. at the end of the day, donovan and his friends have a total of $8 remaining how much money did each person spend
Answer:
Each person spent $10.
Step-by-step explanation:
Let the money spent by each friend = $x
Number of persons including Donovan = 4
Total amount spent by all friends all together = $4x
Since each spent half of their money on rides so amount spent on rides = [tex]\frac{4x}{2}[/tex] = $2x
Then they each spent $3 on food so total money spent = $(2x + 12)
Remaining money = $8
Now the equation will be
$4x - $(2x + 12) = $8
4x - 2x - 12 = 8
2x - 12 = 8
2x = 12 + 8
x = $10
Therefore, each friend spent $10.
To find out how much each person spent, we formulate a math equation representing each person's spending and savings, solve for the initial amount, and then subtract the remaining money.
Explanation:Let's start by stating the problem clearly. Donovan and three friends go to a fair. They each spend 1/2 of their money on rides. Then, each spends $3 on food. At the end of the day, they have a total of $8 remaining. To find out how much they each spent, we need to first work out the total amount of money they started with. Let's denote each friend's initial amount of money as X.
They each spend X/2 on rides and $3 on food. So at the end of the day, each has X - X/2 - 3 left. Sum this for Donovan and three friends and set this equal to $8. Therefore 4(X - X/2 -3) = $8. This equation can be used to solve for X, thus letting us know how much money each of them started with. See how much each spent by subtracting the remaining $2 (because $8 total remaining ÷ 4 = $2 per person) from this amount.
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Can Anybody teach me how to do this problem step by step?
What is the greatest 3 digit number you can subtract from 426 so that you would need to regroup?
Answer:
419
Step-by-step explanation:
Regrouping in subtraction: If we borrow from one group (tens group) and give to another (Once group) so that the operation can be completed, then this process is called regroup.
For example: We need to find the value of 52-39
[tex]52=50+2[/tex]
[tex]39=30+9[/tex]
We can not subtract 9 from 2. So we will borrow 10 from 50 and give to 2.
[tex]52=40+12[/tex]
Now,
[tex]52-39=(40+12)-(30+9)[/tex]
[tex]52-39=(40-30)+(12-9)[/tex]
[tex]52-39=(10)+(3)[/tex]
[tex]52-39=13[/tex]
We need to find the greatest 3 digit number that can subtract from 426 so that we need to regroup.
To use regroup, the once digit must be more that 6. So, maximum value for once place is 9.
Therefore, the greatest 3 digit number that can subtract from 426 by using regroup is 419.
A culture of 1.08×1015 bacteria is in petri dish A. A culture of 2.7×1011 bacteria is in petri dish B.
How many times greater is the number of bacteria in petri dish A than petri dish B?
PLEASE ANSWER QUICKLY
Answer:The number of bacteria in petri dish A is 4000 times greater than petri dish B.
Step-by-step explanation:
Culture of bacteria in petri dish A=[tex]1.08\times10^{15}[/tex]
Culture of bacteria in petri dish B=[tex]2.7\times10^{11}[/tex]
Dividing culture of bacteria in petri dish A bu culturebacteria in petri dish B ,we get
[tex]\frac{1.08\times10^{15}}{2.7\times10^{11}}=\frac{108\times10^{15-11}}{270}\\\\=\frac{108}{270}\times10^{4}=0.4\times10^4=4000[/tex]
Therefore, the number of bacteria in petri dish A is 4000 times greater than petri dish B.
I'll give you brainliest answer... please help! Thank you.
louis has 45 pencils and 75 Pens to divide into gift bags at the fair he does not want to mix the pens and pencils he wants to place an equal amount in each bag what is the greatest number of pens or pencils he can place in each bag
Final answer:
The greatest number of pens or pencils that Louis can place in each bag is 15, which is the greatest common divisor of 45 and 75.
Explanation:
How to Find the Largest Number of Pens or Pencils Per Bag
For Louis to place an equal number of pens or pencils in each bag without mixing them and to find the largest number that he can place in each bag, we need to find the greatest common divisor (GCD) of 45 (pencils) and 75 (pens). The GCD is the largest number that can divide both quantities without leaving a remainder.
Let's calculate the GCD of 45 and 75:
List the factors of 45: 1, 3, 5, 9, 15, 45.
List the factors of 75: 1, 3, 5, 15, 25, 75.
Identify the common factors: 1, 3, 5, 15.
The greatest common factor is 15.
Therefore, the greatest number of pens or pencils Louis can place in each bag is 15.
The equation cos(35o) =a/25 can be used to find the length of . What is the length of bc? Round to the nearest tenth
The length of BC rounded to the nearest tenth, given that Cos 35 = a / 25, is 20.5 in (option B)
How to determine the length of BC?The following data were obtained from the question:
Angle (θ) = 35Hypotenuse = Length AB = 25 inAdjacent = Length of BC = a = ?Using the cosine ratio, the length BC is calculated as illustrated below:
Cos θ = Adjacent / Hypotenuse
Cos 35 = a / 25
Cross multiply
a = 25 × Cos 35
= 25 × 0.8192
= 20.5 in (option B)
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