3x = 4(x-2.25)
3x = 4x-9
add 9 to both sides
3x+9 =4x
subtract 3 x from each side
x=9
Tonya's items were $9 each
Tony's items were 9-2.25 = 6.75 each
check:
9*3=27
4 *6.75 = 27
Given the following system of equations, identify the type of system. x + y = 4 x - y = 6
The following system of equations, x + y = 4 x - y = 6 represents an Independent System.
What is the equation?A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
When there is only one solution, a set of linear regression is persistent and independent. The diagrams of the platform's lines intersect at precisely one spot if this is the case. If a set of linear equations would have no resolutions, it is inconsistent. There is only one solution pair for an autonomous state (x,y). The sole solution is the intersection of the two lines. A system that is incongruous cannot be fixed.
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Alvin’s family used 20.5 gallons of gas to Drive 492 miles. How many miles did they drive on each gallon of gas
Answer: 24.0
Step-by-step explanation:
divide 492 and 20.5
A referee was standing on a certain yard line as the 1st quarter ended. He walked 41 3/4 yards to a yard line with the same number as the one he just left. How far was the refree from the nearest goal
Paula always withdraws 20 dollars more than she needs from the bank.
a.) Write an expression for the amount of money Paula withdraws if she needs d dollars.
b.) Find the amount of money Paula withdraws if she needs 20,60 and 75 dollars.
What’s 28.2% of 92
Plz and thank you
The value of given percent 28.2% of 92 is equal to 25.94
To calculate 28.2% of 92, follow these steps:
Convert the percentage to a decimal by dividing it by 100. In this case, 28.2% becomes 0.282 (28.2 ÷ 100 = 0.282).
Multiply the decimal by the number you want to find the percentage of. here, 0.282 multiplied by 92:
0.282 ×92 = 25.944
Round the result to an appropriate number of decimal places. In this case, we'll round it to two decimal places:
28.2% of 92 is approximately 25.94.
Therefore, 28.2 percent of 92 is equal to 25.94.
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write each fraction or mixed number as a decimal.
1. 7/8 2. 7/15 3. 4 3/25
How many time can 4 go into 69
the sum of four times a number and seven is ten
The unknown number is = 3/4
Let the unknown number be X
4(X) + 7 = 10
Minus 7 from the both sides:
4x +7 -7 = 10 -7
4x + 0 = 3
4x = 3
Make x the subject of formula by dividing both sides by 4,
4x/4 = 3/4
Therefore,
x= 3/4
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What is the axis of symmetry of h(x)=5x2+40x+64
Answer:
x = -4.
Step-by-step explanation:
As we have the standard form of a parabola, that is [tex]ax^2+bx+c[/tex] the axis of symetry will be the line [tex]x = \frac{-b}{2a}[/tex]. In this case we have that a = 5, b = 40 and c = 64. Then the axis of symtery is
[tex]x = \frac{-40}{10} = -4[/tex].
choose the compatible numbers that will give the best estimate for 589/58
Answer:
what he said
Step-by-step explanation:
there was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get
How many one thirds are in 7 halves?
Convert 4500 feet per second to miles per hour. 5280 ft = 1 mi Round to the nearest hundredth.
Answer: [tex]3068.18\text{ miles per hour}[/tex]
Step-by-step explanation:
We know that 1 hour = 60 minutes
1 minute = 60 seconds
Then by Unitary method , 1 hour=[tex]60\times60=3600\text{ seconds}[/tex]
Also, 5280 ft = 1 mi
Given speed = 4500 feet per second
To convert it into miles per hour. we divide it by 5280 and multiply it by 3600 we get
[tex]4500\times\dfrac{3600}{5280}\\\\=3068.18181818\approx3068.18\text{ miles per hour}[/tex]
Hence, the correct answer = [tex]3068.18\text{ miles per hour}[/tex]
X+3/6=x-6/3
x plus 3 divided by 6 equals x minus 6 divided by 3 solve for x
How long would it tak a bus traveling 50 km/h to travel 125 km?
Answer: It will take the bus 2.5 hours to travel 125km at 50km/h.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given.
Speed: 50km/h Distance: 125kmSo, to find the time we have to divide the distance by the speed:
We have to apply: time = distance/speed
Replacing with the values given:
Time = 125 / 50 = 2.5 hours
It will take the bus 2.5 hours to travel 125km at 50km/h.
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a rectangle prism is 4 units high, 2 units wide, and 6 units long. what is its surface area in square units?
Surface area of the rectangle prism is 88 sq. units.
Given:
height of the rectangle prism (h) = 4 units
width of the rectangle prism (w) = 2 units
length of the rectangle prism (l) = 6 units
Recall:
Formula for surface area of a rectangle prism is:
[tex]SA = 2(lw +wh +lh)\\[/tex]
Plug in the values:
[tex]SA = 2(6\times 2 +2\times4 +6\times4)\\SA = 2(12 + 8 + 24)\\SA = 2(44)\\SA = 88[/tex]
Therefore, the surface area of the rectangle prism is 88 sq. units.
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Write a multiplication problem using two 2 digit factors with a resulting product that falls between 7,000 and 8,000
The multiplication problem using 2-digit factors with a resulting product that falls between 7,000 and 8,000 is 81x90 = 7290.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that:
The number are 7,000 and 8,000
Let A and B be the two-digit number with a resulting product that falls between 7,000 and 8,000:
Let two numbers are:
81 and 90
The product of the numbers:
81x90 = 7290
The product of number falls between 7,000 and 8,000.
Thus, the multiplication problem using 2-digit factors with a resulting product that falls between 7,000 and 8,000 is 81x90 = 7290.
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In the 1980s, the population of Pleasanton decreased by 10%. In the 1990s, its population increased by 30%.
How does the population of Pleasanton at the end of the 1990s compare with its population in 1980?
A) It is 20% higher. B) It is 23% higher. C) It is 40% higher. D) It is 17% higher.
The population of Pleasanton is 17 % higher. (Right choice: D)
According to the statement, the population of Pleasanton is reduced by a factor of 0.9 in the 1980s and increased by a factor of 1.3 in the 1990s. The increase rate is found by means of this formula:
[tex]x =[(0.9)\cdot (1.3)-1]\cdot 100[/tex]
[tex]x = 17\,\%[/tex]
The population of Pleasanton is 17 % higher. (Right choice: D)
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The population of Pleasanton at the end of the 1990s is 17% higher than the population in 1980.
Explanation:To compare the population of Pleasanton in the 1990s with the population in 1980, we need to consider the changes that occurred in each decade. In the 1980s, the population decreased by 10%. This means that if the population in 1980 was represented by 100, it would have decreased to 90 by the end of the decade.
In the 1990s, the population increased by 30%. Using the population of 90 at the beginning of the decade, the population at the end of the 1990s would be 90 + (30% of 90) = 90 + 27 = 117.
So, the population of Pleasanton at the end of the 1990s is 117, which is 17% higher than the population in 1980. Therefore, the correct answer is D) It is 17% higher.
Can you help me for 8 and 9
(9.32 x 10 3) (3.32 x 10 2)
Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 cup of cheese. How many times can she make her recipe with the cheese she had?
What is 0.1 repeating as a fraction
1/9
Short Cut That My Teacher Taught Me :)
0.1 repeating has 1 digit repeating after the decimal point, so there is one digit in the denominator. Put the repeating digit in the numerator place. That's your answer. You can do the same to any repeating decimal: 2 digits after the point has 99 as the denominator, 3 digits is the repeating number over 99, and so on.
A sketch of the line 2y-x=4 is shown.
The line cross with the axes at A and B.
Calculate the coordinates of A and B
Thank you.
Write 4,050 in expanded form.
Jack is mixing a cleaning solution that is 12% bleach. After mixing the solution, Jack has 150 ounces of cleaning solution. How many ounces of bleach did Jack use.
the graphs of two different direct variations can be parallel
Apartment A has a security deposit of $1000 and cost $1200 each month. Apartment B has a $1500 security deposit and cost $1175 each month. How many months will it take for the costs to be the same?
It will take 20 months for the costs of Apartment A and Apartment B to be the same.
Explanation:To find out how many months it will take for the costs of Apartment A and Apartment B to be the same, we need to set up an equation. Let's say it takes x months for the costs to be equal. The equation would be: 1000 + 1200x = 1500 + 1175x. We can solve this equation to find the value of x.
First, we can simplify the equation by subtracting 1175x from both sides: 1000 + 25x = 1500. Then, we can subtract 1000 from both sides to isolate the variable: 25x = 500.
Finally, we can divide both sides of the equation by 25 to solve for x: x = 20. Therefore, it will take 20 months for the costs of Apartment A and Apartment B to be the same.
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g (a) = 4a ; Find g (2a)
Write the sentence as an inequality.
Seven is at most the quotient of a number d and 5.
Solve.
−1.5x−3.1<5.5