1. 2a=9b first we will divide the both sides with parameter b and get
2(a/b)=9 now we will divide both sides with number 2 and get
a/b=9/2 => a : b = 9 : 2
2. 6a-3b=5b first we will add to both sides number (+3) and get
6a=5b+3b => 6a=8b then divide the both sides with parameter b and get
6(a/b)=8 now we will divide the both sides with number 6 and get
a/b=8/6 if we simplify the fraction we get
a/b=4/3 => a : b = 4 : 3
3. a+b=3b we will add to the both sides parameter (-b) and get
a=3b-b => a=2b then divide the both sides with parameter b and get
a/b=2 => a/b=2/1 => a : b = 2 : 1
4. a/5=b/7 first we will divide the both sides with paremeter b and get
a/(5b)=1/7 now we will multiply the both sides with number 5 and get
a/b=5/7 => a : b = 5 : 7
Good luck!!!
The ratio a:b in the four problems given are 9:2, 4:3, 2:1, and 5:7 respectively. This is achieved by isolating 'a' in each equation and simplifying the resulting expression.
Explanation:Let's find the ratio between a:b for each of the problems you've provided:
In the equation 2a = 9b, divide both sides by 2b to get a:b ratio. This gives a/b = 9/2, which simplifies to the ratio of a:b = 9:2.For the equation 6a - 3b = 5b, first add 3b to both sides to isolate 'a'. This gives 6a = 8b. Dividing by 6b, we get a/b = 8/6, which simplifies to a:b = 4:3.In the case of a + b = 3b, subtract 'b' from both sides, which gives a = 2b. The ratio of a to b is therefore a:b = 2:1.Lastly in the equation a/5 = b/7, cross-multiplication gives 7a = 5b. Dividing both sides by 7b results in a/b = 5/7, which means a:b = 5:7.Learn more about Finding ratios here:https://brainly.com/question/21138916
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What is the vertex of the parabola given by y = -(x − 2)2 − 1? A. (2, 1) B. (2, -1) C. (-2, 1) D. (-1, 2)
The correct answer is (2,−1)
1. Which of the following statements could be true when a transversal crosses parallel lines?
SELECT ALL THAT APPLY!!!
Several congruent angles are formed.
Vertical angles are formed.
Complementary angles are formed.
Supplementary angles are formed.
Obtuse angles are formed.
The pictures are their own seperate questions.
Final answer:
In a situation where a transversal crosses parallel lines, several congruent angles and vertical angles can form, and supplementary angles are also a possibility. Complementary angles are formed only under specific conditions. The formation of obtuse angles depends on the transversal's orientation relative to the parallel lines.
Explanation:
When a transversal crosses parallel lines, several outcomes are possible, and we can determine which statements could be true. Let's go through the options provided:
Several congruent angles are formed: Yes, this can happen. The alternate interior angles and corresponding angles are examples of congruent angles formed by a transversal intersecting parallel lines.Vertical angles are formed: Yes, whenever lines intersect, vertical angles are formed, and they are congruent.Complementary angles are formed: This is not necessarily true when a transversal crosses parallel lines, unless specific angles are considered that sum to 90 degrees.Supplementary angles are formed: Yes, when a transversal crosses parallel lines, consecutive interior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.Obtuse angles are formed: This could be true, depending on the orientation of the transversal and the parallel lines. In the case of a transversal crossing parallel lines, obtuse angles can be formed alongside acute angles if the transversal is not perpendicular to the lines.What is the best estimate for the weight of an automobile
The average weight for a typical passenger car is roughly estimated to be around 1,400 kilograms. However, this can vary significantly depending on the type, size, and model of the vehicle. Exact weights should be confirmed from the vehicle's specifications.
Explanation:The weight of an automobile can significantly vary depending on the specific model and brand. The average weight of contemporary passenger cars is estimated to be around 1,400 kg. This weight is taken from a general approximation as weight can change based on the vehicle's size, materials, and included accessories.
For example, a luxury sports car like a 2014 Lamborghini Aventador Roadster weighs considerably less due to the use of lightweight materials in its construction. Some small cars or compact cars may weigh less than the typical average, while trucks and larger vehicles will likely exceed this weight.
Lastly, remember that the weight of the vehicle can influence factors such as speed, fuel efficiency, and momentum. Always ensure to confirm the specific weight for any particular vehicle from its manufacturer's specifications or verified sources.
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A car travels the 120 miles from A to B at 60 miles per hour, and then returns to A on the same road. If the average rate of the round trip is 45 miles per hour, what is the rate, in miles per hour, of the car traveling back from B to A?
Outbound Trip 120 miles 60 mph equals 2 hours
Return Trip 120 miles
Total Trip 240 miles at 45 mph average speed
Total time = distance / rate = 240 / 45 = 5.3333333333 Hours
The return trip of 120 miles takes (5.3333333333 Hours MINUS 2 hours)
Return Trip Speed = 120 / 3.333333333 = 36 miles per hour
The car's speed on its return trip from B to A was approximately 36mph, based on the given average round trip speed and the speed of the trip from A to B.
Explanation:The subject of this question is the calculation of an unknown speed during a return trip. Let's first calculate the total time of the round trip. The time taken to journey from A to B (we'll call this 'Time1') can be calculated by distance/speed, which equals 120 miles / 60mph, and that equals 2 hours.
The total round trip time (we'll call this 'Total Time') can be calculated by distance/speed, which equals 240 miles / 45mph, and that equals roughly 5.33 hours.
The time taken to return from B to A (we'll call this 'Time2') is the difference between 'Total Time' and 'Time1', which equals roughly 5.33 hours - 2 hours, equaling 3.33 hours.
The speed on the return trip ('Speed2') is the distance divided by Time2, so 120 miles / 3.33 hours equals approximately 36 miles per hour.
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Determine if the set is the empty set. X | x > 7 and x < 10
x > 7 x < 10
7 o---------------------o 10
This is not an empty set. x contains all of the values between 7 and 10.
If Nancy needs 3/1/4 cups of oatmeal,how many 1/4 cups of oatmeal will she use
How you can find the common factors and the greatest common factor of two numbers
One way is to create a factor tree for each number. Then see which factors they have in common.
Example:
12 30
^ ^
2 6 3 10
^ ^
2 3 2 5
The factors are the underlined numbers above:
12: 2 x 2 x 3
30: 2 x 3 x 5
The common factors are: 2, 3, and 6 why 6? because 2 x 3 = 6
The greatest common factor is: 6
To find the common factors and the greatest common factor (GCF) of numbers, list all factors of each number, find the common ones, and identify the largest as the GCF. The factor-label method can simplify locating the GCF.
Explanation:To find the common factors and the greatest common factor (GCF) of two numbers, you start by listing all the factors of each number. These are whole numbers that can divide the numbers without a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, and the factors of 18 are 1, 2, 3, 6, 9, and 18.
Common factors are factors that the two numbers share. In our example, the common factors of 12 and 18 are 1, 2, 3, and 6.
The greatest common factor (GCF) is the largest of these common factors. This helps in multiplication and division of numbers, particularly when simplifying fractions. Here, the GCF of 12 and 18 is 6.
To find the GCF more quickly, you can use the factor-label method. Divide both numbers by a common factor and continue this process with the resulting numbers until you can't find any common factors other than 1. The GCF is the product of all the common factors you used to divide.
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Ant has 6 legs, how many ants could there have been if she saw between 35 and 50 legs
If an ant has six legs, then:
Two ants have 12 legsThree ants have 18 legsFour ants have 24 legsFive ants have 30 legsSix ants have 36 legsSeven ants have 42 legsEight ants have 48 legsNine ants have 54 legsSo, if you saw between 35 and 50 legs, there are between six and eight ants.
Find the missing measures in each figure.
To find the missing measures in a figure, utilize the properties or formulas associated with that specific shape. For example, use the Pythagorean theorem for right triangles.
To find the missing measures in each figure, you would typically use the properties of the specific geometrical shape presented.
For example, triangles have properties that are different from squares, rectangles, or circles. So, if you have a right triangle where you know the lengths of two sides, you can use the Pythagorean theorem to find the missing side.
This theorem states that a² + b² = c², where c is the length of the hypotenuse and a and b are the lengths of the other two sides. For other shapes, you may use different formulas or identities based on their properties.
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r varies directly as s. Find r when a=2 and k=13.
varies directly formula: [tex]\frac{r}{s} = k[/tex]
[tex]\frac{r}{2} = 13[/tex]
[tex](2)\frac{r}{2} = (2)13[/tex]
r = 26
an electrician worked 28 hours a week for 26 weeks. If his hourly wage was $25, how much did he earn during this time period
Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4
ANSWER
[tex]B=63\degree[/tex]
EXPLANATION
We want to solve the trigonometric equation;
[tex]tan^2(B)=4[/tex], where [tex]0\degree \le B \le 90\degree[/tex].
Taking square root of both sides gives,
[tex]tan(B)=\pm \sqrt{4}[/tex]
[tex]tan(B)=\pm 2[/tex]
Since B is in the first quadrant, we proceed with;
[tex]tan(B)=2[/tex], because the tangent ratio is positive in the first quadrant.
[tex]\Rightarrow B =arctan(2)[/tex]
[tex]\Rightarrow B =63.43\degree[/tex].
Correct to the nearest degree,
[tex]B =63\degree[/tex]
solve
kx + 12 = 3kx for x
Answer:
[tex]6/k[/tex]
Step-by-step explanation:
It's in the attachment!
I am pretty sure that the answer is x=6/k
Tickets for the basketball game cost $14 each. If the sale of the tickets brought in $2212, how many. Tickets were sold?
Answer:
158 tickets would be sold.
Step-by-step explanation:
Since,
[tex]\text{Number of tickets}=\frac{\text{Total cost of tickets}}{\text{Cost of each ticket}}[/tex]
We have,
Total cost of tickets = $ 2212,
Cost each ticket = $ 14,
Hence,
[tex]\text{Number of tickets that are sold}=\frac{2212}{14}=158[/tex]
What is 765,903 rounded to the nearest ten thousand
3 has a value of 'ones'
0 has a value of 'tens'
9 has a value of 'hundreds'
5 has a value of 'thousands'
6 has a value of 'ten thousands'
Rounding up 6, its greater than 5 so add 1 to 7 and make all the other figures zero to give:
Answer = 800,000
Answer:
765,903 rounded to the nearest 10,000 is 770,000.
Step-by-step explanation:
If it were rounded to the nearest thousand it would be 766,000, but 6 is not rounded, so it has to be rounded up to the next 10,000.
In a recent year, the number of homes with digital cameras grew 0.44 from the previous year. Write 0.44 as a percent.
Answer:
The answer is 44%
Step-by-step explanation:
Can someone please help me with question 7?
The goal is to raise AT LEAST $180, so this automatically indicates that the amount of keychains sold with the price must be the same or more than $180.
k = number of keychains
each keychain is $2.25
2.25k ≥ 180
divide both sides by 2.25 to get the k alone
k ≥ 80
The answer is 2.25k ≥ 180, k ≥ 80
(Hope this isn't confusing)
Find the x and y-intercepts
1/2x + 4y = 24
x-intercept (48,0)
y intercept(0,6)
When Marika bought her house she paid 80% of the purchase price of the house with a loan. She paid the remaining 49,400 of the purchase price with her savings. What was the purchase price of her house?
Let
x-----> the purchase price of the house
we know that
1) Marika paid [tex]80\%[/tex] of the purchase price of the house with a loan
2) Marika paid the remaining [tex]\$49,400[/tex] of the purchase price with her savings
3) [tex]\$49,400[/tex] represent the [tex]20\%[/tex] of the purchase price
so
[tex]0.20x=49,400[/tex]
Solve for x
Divide by [tex]0.20[/tex] both sides
[tex]0.20x/0.20=49,400/0.20[/tex]
[tex]x=247,000[/tex]
therefore
the answer is
the purchase price of the house is [tex]\$247,000[/tex]
Marika's house's total purchase price was $247,000, calculated by determining 1% of the purchase price from the known 20% and then multiplying it by 100.
To find the total purchase price of Marika's house, we can use the information that 80% of the purchase price was covered by a loan, while the remaining 20% (which is $49,400) was paid from Marika's savings. To find the full purchase price, we first find what 1% of the purchase price is by dividing the known 20% amount by 20.
1% of purchase price = $49,400 / 20
1% of purchase price = $2,470
To find the full 100% purchase price, we multiply the 1% value by 100.
Purchase price = 100 * (1% of purchase price)
Purchase price = 100 * $2,470
Purchase price = $247,000
Thus, the total purchase price of the house was $247,000.
WILL GIVE BRAINLIEST ANSWER
What is the y-intercept of the graph? A) -2 B) 2 C) -4 D) 4
the answer would be -4 because it's when the axis touches the y-axis. in that case it would be c. -4
hope this helps! ❤ from peachimin
The value of an 1858 flying eagle penny, in what is considered very fine (VF-20) condition, increased fairly exponentially from 1950 to 2016 at a rate of about 4% per year. In 2016, the coin was worth $75. Assume the same rate will continue. What equation models the value of the coin, in dollars, t years after 2016?
The equation that models the value of the coin, t years after 2016, is [tex]Y = 75(1 + 0.04)^t.[/tex] It demonstrates an exponential growth where the coin's value increases at a rate of 4% each year since 2016.
Explanation:The value of the coin changes at an annual rate of 4%, which suggests an exponential growth model. The general form of an exponential growth equation is [tex]Y = P(1 + r)^t[/tex], where Y is the future value, P is the initial (or present) value, r is the rate of interest, and t is time in years. In this case, we know the present value (P) as of 2016 is $75, the rate of interest (r) is 4% or 0.04 per year, and the time (t) indicates the number of years since 2016.
Therefore, the equation that models the value of this coin, t years after 2016, should be [tex]Y = 75(1 + 0.04)^t.[/tex] This equation can be used to estimate the future value of an 1858 flying eagle penny given the past rate of appreciation.
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The equation that models the value of the coin in dollars, t years after 2016, is A = 75(1 + 0.04)^t.
Explanation:To model the value of the coin in dollars, t years after 2016, we can use the exponential growth formula:
A = P(1 + r)^t,
where A represents the final amount, P is the initial amount, r is the growth rate, and t is the number of years.
In this case, the initial amount is $75, the growth rate is 4%, and the number of years is t. So the equation would be: A = 75(1 + 0.04)^t.
Using this equation, you can calculate the value of the coin in dollars for any given year after 2016 by plugging in the number of years into the equation.
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Sami's boss asked him to cut 78?5 feet of rope to tie down a load on a truck. How much rope should Sami cut?
Answer: 15 3/5 feet
Step-by-step explanation:
Write an equation and solve. Round to the nearest hundredth where necessary. 64 is 80% of what?
Set up a proportion like 64/x = 80/100 and solve for x. x=80
Final answer:
Explaining how to write and solve the equation to find 80% of 64.
Explanation:
Write the equation: 64 = 0.80x, where x represents the unknown value.
Solve for x: Divide both sides by 0.80 to isolate x. x = 64 / 0.80 = 80, so 64 is 80% of 80.
Answer: 64 is 80% of 80.
solve quickly for brainliest
4x+y=10
( ,-6)
Answer:
(4, -6)
Step-by-step explanation:
4x + y = 10
4x + (-6) = 10
4x - 6 = 10
4x = 16
x = 4
Brianna work as a costumer service representative. She knows that the amounts of her yearly bonus is $155 but $2.50 is taken away for each customer complaint about her during the year . What is her bonus if there are 12 complaints about her in the year?
Answer:
Bonus of Brianna = 125 $
Explanation:
Amount of Brianna's yearly bonus = 155$
Amount taken away for each customer care complaint = 2.50$
Number of complaints received against Brianna in the year = 12
Total amount lost by Brianna due to complaint = 12*2.50 = 30$
Amount of bonus received by Brianna after reduction of complaint loss = 155-30 = 125$
Bonus of Brianna = 125 $
Answer: 125 dollars
Step-by-step explanation:
i am confused on this question because i keep getting different answers please help.
6 ÷ 2(1 + 2)
This is a pemdas problem. The basic rule of pemdas is:
ParenthesesExponentsMultiplicationDivisionAdditionSubtractingMultiplication/division and addition/subtraction are in no particular order; they are solved from left to right.
Since you solve inside the parentheses first, you would first add 1 and 2 together and then rewrite the problem.
6 ÷ 2(3)
Now you have 6 divided by 2 multiplied by 3. Pemdas shows that division and multiplication are solved in no particular order, so that means that you will solve this expression from left to right.
Start by dividing 6 and 2, then rewrite the problem.
3(3) is what you are left with.
Multiply 3 and 3 together and you will be left with your final answer of:
[tex]\boxed {9}[/tex]Hello!
Answer: ⇒⇒⇒⇒ =9
Step-by-step explanation:
This question it should be pemdas.
Hint:
↓
P-parenthesis
E-exponents
M-multiply
D-divide
A-add
S-subtract
First you had to calculate with parenthesis.
[tex](1+2)=3[/tex]
[tex]=6\div \:2*3[/tex]
Then you multiply and divide from ("left to right").
[tex]6\div \:2=3[/tex]
[tex]3*3=9[/tex]
Hope this helps!
Thank you for posting your question at here on brainly.
Have a great day!
-Charlie
Emma has 56 37/40 bags of dog food to feed all the dogs at the animal shelter. The dogs each eat 8 1/4 bags per week. How many weeks worth of dog food does emma have?
Answer:
Emma has dog food worth of 6 weeks 6 days.
Step-by-step explanation:
Lets take number of weeks the dogs can eat dog food as [tex]x[/tex].
Then,
Number of bags dogs eat per week * number of weeks = number of dog food
will give the number of weeks the dogs can eat the dog food.
Now we substitute the given values to the equation,
[tex]8\frac{1}{4}*x=56\frac{37}{40}[/tex]
[tex]\frac{33}{4} *x=\frac{2277}{40}[/tex]
[tex]\frac{330}{40} *x=\frac{2277}{40}[/tex]
[tex]330*x=2277[/tex]
[tex]x=\frac{2277}{330}[/tex]
[tex]6.9[/tex] weeks
Which mean she has dog food worth of 6 weeks 6 days.
An airline offers tickets on 3 routes from Atlanta: Chicago for $150, Boston for $160, and Dallas for $180, represented by the matrix 150 160 180 . We can find the cost of four of each of the tickets by multiplying this matrix by one of the matrices below. Find it.
Final answer:
To find the cost of four tickets for each route, multiply the price matrix [150 160 180] by the matrix [4], giving [600 640 720] as the cost matrix for four tickets to Chicago, Boston, and Dallas respectively.
Explanation:
To find the cost of four tickets for each of the three routes from Atlanta (Chicago, Boston, and Dallas), we need to multiply the given matrix representing the prices of each route by a matrix that contains the number of tickets for each route. The cost matrix for one ticket is [150 160 180]. To calculate the cost for four tickets, we can multiply this matrix by a column matrix that has the value 4 for each route since we want to buy four tickets for each destination.
The column matrix will thus be [4] since we only have one column (for the number of tickets) and three rows (one for each destination). The multiplication process is straightforward:
[150 160 180] x [4] = [600 640 720]
So, the matrix representing the cost of four tickets to each destination is: [600 640 720].
Twenty nine is thirteen added to four times a number.What is the number
evaluate the expression 4x^2-2 when x=3
Hey there!!
Given equation :
4x² - 2
And x is given by 3
Now substitute the value of 3 in the equation :
... 4×(3)² - 2
... 4×3×3 - 2
... 12×3 - 2
... 36 - 2
Hence, the answer is 34.
Hope my answer helps!
The required expression is 34 when evaluating the given expression for x = 3.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The expression is given in the question following as:
4x² - 2
We have to evaluate the expression given 4x² - 2 when x = 3
As per the question, we have
⇒ 4x² - 2
We can substitute the value of x = 3 into the expression to get:
⇒ 4(3)² - 2
⇒ 4(9) - 2
⇒ 36 - 2
Apply the subtraction operation, and we get
⇒ 34
Therefore, the result of the expression when x = 3 is 34.
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