Answer:
That’s easy it is 282
Step-by-step explanation:
He will now have 282 bucks altogether.
Step-by-step explanation:
We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.
Chris Evans drives 300 miles per week in his Honda Civic that gets 22 miles per gallon of gas. He
is considering buying a new fuel-efficient car for $20,000 (after trade-in of your Honda Civic)
that gets 50 miles per gallon. Insurance prerniums for the new car and old care are $900 and
$500 per year respectively. If he decides to keep his car, he will need to spend $1200 on repairs
per year. Assume gas costs $3.50 per gallon over a 5-year period,
a, what is the cost of the old car?
b. what is the cost of the new car?
Answer:
old car $20,909new car: $29,960Step-by-step explanation:
At 300 miles per week, Chris drives 300×52 = 15,600 miles per year. His gas cost can be figured as ...
(5 years)×(miles per year)÷(miles/gallon)×($ per gallon) = $273,000/(miles per gallon)
__
a) old car cost = repair cost + gas cost + insurance cost
= 5($1200) + $273,000/22 + 5($500) ≈ $20,909 . . . over 5 years
__
b) new car cost = purchase cost + gas cost + insurance cost
= $20,000 + $273,000/50 +5($900) = $29,960 . . . over 5 years
Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.
Answer:
x=0.173
Step-by-step explanation:
First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.
please help me with this
Answer:
F
Step-by-step explanation:
64x³ = -1
x³ = -1/64
x = ∛-1/∛64
x = -1/4
Answer:
x = - \(\frac{1}{4}\)
Step-by-step explanation:
64x³+1=0
Add 1 to both sides:
64x³=-1
Divide both sides by 64:
x³=-\(\frac{1}{64}\)
Find cubed root of both sides:
x=-\(\sqrt[3]{\frac{1}{64}}\)
Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :
x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)
Evaluate:
x = - \(\frac{1}{4}\)
Proportionality yes or no - show work
X y
____ ____
6 -2
7 -1
8 0
9 1
No, the relationship on the table is not proportional
How to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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use the graph to answer the question
Answer:
b
Step-by-step explanation:
bc solutions are the zeros or the x intercepts of the graph which would be (-3,0) and (3,0)
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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Writing Systems of Equations from Word ProblemsPetri planted two trees. The first was 3 feet tall whenplanted and grows 0.25 feet each month.The second, he planted as a seed 1 foot underground,and it grows 0.5 feet each month. When will the treesbe the same height?Oy = 0.25x + 3 Oy = 0.25x + 3y = 0.5x + 1y = 0.5x - 1Oy = 3x + 0.25Oy = 0.25x + 3y = -1x + 0.5y = -0.5x - 1
The equation for tree 1 and tree 2 would be
\(\begin{gathered} y=0.25x+3 \\ y=0.5x-1 \\ \text{They would be the same height when,} \\ 0.25x+3=0.5x-1 \\ 3+1=0.5x-0.25x \\ 4=0.25x \\ x=\frac{4}{0.25}=16\text{ months} \end{gathered}\)Then they would be both
\(0.25(16)+3=4+3=7\text{ f}eet\)Tessa bought stock in a restaurant for $160.00. Her stock is now worth $224.00. What is the percentage increase in the value of Tessa's stock?
Answer:
64.00 was incressed
Step-by-step explanation:
Answer:
about 51-52 percent should be the answer
Step-by-step explanation:
please mark brainlyiest
Help me with math 69 POINTS
Answer:
expression on the right
Step-by-step explanation:
M=q+3p solve for q.
Answer:
q = M - 3p
Step-by-step explanation:
M = q+3p
to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.
M-3p = q
Answer:
q=m-3p
Step-by-step explanation:
m=q+3p
-3p. -3p
-3p+m=q
Help what is the pattern and what is the next number 3,-9,27,-81,?
Step-by-step explanation:
everything can be found in the picture
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer:
y=2x +5
Step-by-step explanation:
so 2 goes in the first blank and 5 goes in the second
Hope this helps!❆
Need help with the provided questions
What is the percent increase from $80-$88
Answer:
10 percent
Step-by-step explanation:
Where: 80 is the old value and 88 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.
Answer:
10%
Step-by-step explanation:
80 is the old value and 88 is the new value. In this case, we have a positive change (increase) of 10 percent because the new value is greater than the old value.
Brain-List?
consider the line (d) with equation y = –2x+6
determine the coordinates of B, the intersection point of (d) andy'Oy.
Answer:
i dont know sry need points sry
Step-by-step explanation:
If 3000 dollars is invested in a bank account at an interest rate of 4 per cent per year,
Find the amount in the bank after 6 years if interest is compounded annually:
Find the amount in the bank after 6 years if interest is compounded quarterly:
Find the amount in the bank after 6 years if interest is compounded monthly:
Finally, find the amount in the bank after 6 years if interest is compounded continuously:
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{\underline{annually}, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 3000\left(1+\frac{0.04}{1}\right)^{1\cdot 6} \implies A \approx 3795.96 \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{\underline{quarterly}, thus four} \end{array}\dotfill &4\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 3000\left(1+\frac{0.04}{4}\right)^{4\cdot 6} \implies A \approx 3809.20 \\\\[-0.35em] ~\dotfill\)\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{\underline{monthly}, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 3000\left(1+\frac{0.04}{12}\right)^{12\cdot 6} \implies A \approx 3812.23 \\\\[-0.35em] ~\dotfill\)
\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &6 \end{cases} \\\\\\ A = 3000e^{0.04\cdot 6} \implies A \approx 3813.75\)
Completing the square can be used to transform x²-6x+8=0 into the form (x - p)²= 9
What are the values of p and q?
Answer:
x² - 6x + 8 = 0
or, x² - (4+2)x + 8 = 0
or, x² - 4x - 2x + 8 = 0
or, x(x-4) -2(x -4)= 0
or , (x-4) (x-2) = 0
either,
x - 2 = 0
x = 2
OR,
x - 4 = 0
x = 4
next ,
x-p = 9
or, 2-p = 9
p= -7
either,
x-p = 9
or, 4 - p = 9
or, p= -5
hope this will help you
4.1 A bag contains 6 red, 4 green, 2 yellow and 3 blue balls. In each case, give the ratio (in simplest form) of the asked number of balls in the bag.( 4 ) 4.1.1 The number of red balls to the number of green balls.
The number of red balls to the number of green balls is 3 : 2
How to determine the ratio?The distribution of the balls is given as:
6 red, 4 green, 2 yellow and 3 blue balls
The number of red balls to the number of green balls is represented as:
Ratio = Red : Green
So, we have:
Ratio = 6 : 4
Simplify
Ratio = 3 : 2
Hence, the number of red balls to the number of green balls is 3 : 2
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Find the length of side of square ABCD when diagonal is √ cm long. Also find the perimeter and area of the square
The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.
Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.
In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.
Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:
x^2 + x^2 = (16√2)^2
2x^2 = 512
Dividing both sides by 2, we have:
x^2 = 256
Taking the square root of both sides:
x = √256
x = 16 cm
So, the length of each side of the square is 16 cm.
To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:
Perimeter = 4 * 16 cm = 64 cm
To find the area of the square, we square the length of one side:
Area = (16 cm)^2 = 256 cm^2
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Note the complete question is:
Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?
Show working of problem!!
Solve
3a= 18
Answer:
a = 6
Step-by-step explanation:
Bacteria in a dirty glass triple 4 hours. If there are 25 bacteria to start, how many in the glass
after 1 day?
If the number of bacteria triples every 4 hours, then after 1 day (24 hours), the number of bacteria will triple 6 times.
Tripling a number 6 times is the same as multiplying it by 3 raised to the power of 6, or 3^6.
So, if there are 25 bacteria to start, the number of bacteria after 1 day will be:
25 x 3^6 = 25 x 729 = 18,225 bacteria.
Answer:
Step-by-step explanation:
It is not possible to accurately determine the number of bacteria in the glass after 4 hours without additional information such as the rate of bacterial growth, the environmental conditions, and whether any bacteria were removed or added during that time.
What is the image of (-8,-8)(−8,−8) after a dilation by a scale factor of \frac{1}{4} 4 1 centered at the origin?
We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).
What is the image after the dilation?
For a point (x, y), a dilation by a scale factor of k gives the point (k*x, k*y).
Now, in this case, we have the point (-8, -8) and the scale factor is k = 1/4.
Then, using the above relation, we can write the coordinates of the image after the dilation as:
(-8*(1/4), -8*(1/4)) = (-2, -2).
We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).
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The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.
Answer:
The bigger number is 13 and the smaller number is 5
anyone know the answer to this
Answer:
Step-by-step explanation:
The average temperature at the South Pole is −45 F. The average temperature on the Equator is 92 F. Find the difference between the temperature at South Pole and at the Equator. Using simplified basic algebraic expressions
Answer:
-137
Step-by-step explanation:
The difference between two numbers can be found through subtraction.
-45 - 95 = -137.
41/2≤1.2x what is the answer
Answer:
i can help just meassage me
Step-by-step explanation:
ok thak u
⦁ The smallest number by which to divide is 6075 to make it a perfect square.
The smallest number by which to divide 6075 to make it a perfect square is 3
Perfect squareFrom the question, we are to determine the smallest number by which to divide the given number to make is a perfect square
The given number is 6075
A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer. That is, a number that can expressed as n², where n is an integer.
The given number cannot be divided by 2 without given a remainder.
Divide the given number by 3
6075 / 3 = 2025
NOTE:
2025 = 45 × 45 = 45²
Thus, 2025 is a perfect square
Hence, the smallest number by which to divide 6075 to make it a perfect square is 3
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The coordinates of vertex D in the parallelogram are (-7, -10).
We have,
To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.
One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.
Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:
Find the vector representing one of the sides of the parallelogram.
We can use the vector AB.
Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)
= (6 - 8, -4 - 2)
= (-2, -6)
Add this vector to point C to find the coordinates of D.
Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)
= (-5 - 2, -4 - 6)
= (-7, -10)
Therefore,
The coordinates of vertex D are (-7, -10).
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A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound
B. If a chemist wants to make 728 milliliters of the drug, how many milliliters of compound A are needed?
? milliliters of compound A
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
What do you mean by compound?A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.
Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.
We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:
3 ml x 3 ml x 3 ml
-------- = ----------
728 ml total, 8 ml overall
If we cross-multiply, we obtain:
8(x) = 3(728)
To find x, we use the formula x = 3(728)/8 = 273
In order to create 728 millilitres of the medication, 273 millilitres of component A are required.
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273 milliliters of compound A are needed to make 728 milliliters of the drug.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.
Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:
3 : (3+5) or 3:8
This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.
To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:
3/8 = x/728
where x represents the amount of compound A needed.
To solve for x, we can cross-multiply:
8x = 3*728
8x = 2184
x = 273
Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.
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