The simplified value of the given expression 3(4x+6)+7x, is 19x+18
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.
For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.
Given that, is an expression 3(4x+6)+7x, we need to simplify it,
3(4x+6)+7x
By the Distributive property, multiplying by 3,
3(4x+6)+7x
= 12x+18+7x
Rearranging the terms,
= 12x+7x+18
Adding the like terms,
= 19x+18
Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18
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Write about a real-world situation that can be solved using a two-step equation. Then write the equation and solve the problem.
A real-world situation that can be solved using a two-step equation is calculating the total cost of a shopping trip. Let's say you go to a store and buy some items. Each item costs $5, and you buy 3 items. You also have a $10 coupon. To find the total cost, we can use a two-step equation: 3 * 5 - 10 = x. Solving the equation, we get x = 15.
Explanation:A real-world situation that can be solved using a two-step equation is calculating the total cost of a shopping trip. Let's say you go to a store and buy some items. Each item costs $5, and you buy 3 items. You also have a $10 coupon. To find the total cost, we can use a two-step equation:
Step 1: Write the equation. Let x be the total cost.
Step 2: Solve the equation. The cost of the items is $5 per item, so the first step is to multiply 3 (number of items) by 5 (cost per item). Then subtract the $10 coupon from the total cost. The equation becomes 3 * 5 - 10 = x. Solving the equation, we get x = 5. Therefore, the total cost of the shopping trip is $15.
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4+5=9 write the doubles fact used to solve
A box of cereal contains 23.4 ounces. It costs $5.49. What is the cost to the nearest cent of the cereal per ounce
Answer:
The cost of one ounce of cereal is $0.24
Step-by-step explanation:
We are given the following information in the question:
Amount of cereals a box contain = 23.4 ounces
Cost of one box = $5.94
Cost of cereal per ounce =
Formula:
[tex]\text{Cost of one ounce of cereal} = \\\\\displaystyle\frac{\text{Cost of cereal}}{\text{Amount of cereal in a box}}[/tex]
Putting the values, we have:
[tex]\text{Cost of one ounce of cereal} = \displaystyle\frac{5.49}{23.4} = 0.2347 \approx 0.24[/tex]
Hence, the cost of one ounce of cereal is $0.24
Max and Sheila are making orange juice. Max has mixed 15 cups of water with 4 cups of juice concentrate. Sheila has made her choose by mixing 8 cups water with 3 cups just concentrate.compare their ratios of juice concentrate to water using racial tables. State which beverage has a higher juice concentrate to water ratio.
A road has a speed limit of 40 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
a r < 40
b r <_40
c r _> 40
d r > 40
Simplify the expression. w - .25w
Plz help!!
Estimate each quotient using compatible numbers write what you estimated with like my answer is 7 and this is what I used 280÷4
Estimate these quotient round the numbers
1. 5564÷91 3.explain how to
2. 5391÷25 estimate 498÷12
4.which is the closest estimate for 2130÷ 33
A.7 B.17 C.70 D.700
What is the distance between points
(9, −7)
and
(9, 4)
on a coordinate plane?
Final answer:
The distance between the points (9, -7) and (9, 4) is calculated by finding the absolute difference between the y-coordinates since the x-coordinates are the same. The distance is 11 units.
Explanation:
To calculate the distance between two points on a coordinate plane, you can use the distance formula, which is derived from the Pythagorean theorem. However, in this particular case, since the x-coordinates of the points (9, -7) and (9, 4) are the same, the distance is simply the absolute difference between the y-coordinates.
The formula to find the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)² + (y2 - y1)²)
So, substituting the known values:
d = √((9 - 9)² + (4 - (-7))²) = √(0 + 11²) = √121 = 11
Therefore, the distance between the points (9, -7) and (9, 4) on a coordinate plane is 11 units.
If the Alexanders completed the 735 mi. trip in 15 hr., what was their average rate of travel?
What is 67.50 with 5 percent sales tax
32 is the sum of a number z and 9
What is the measure of E, in degrees?
A. 130
B. 155
C. Cannot be determined
D. 125
Please don't answer just for points!
The measure of angle E is 0 degrees not provided in the options (A, B, C, or D), and the correct answer is "Cannot be determined."
To find the measure of angle E in degrees that the sum of angles in a triangle is 180 degrees.
From the given triangle, two angles with measures 50 degrees each (angle A and angle B), and one angle with a measure of 80 degrees (angle D).
To find the measure of angle E, we can use the equation:
Angle E = 180° - (angle A + angle B + angle D)
Angle E = 180° - (50° + 50° + 80°)
Angle E = 180° - 180°
Angle E = 0°
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A store buys a jacket for $20.00 and then sells it to customers for 80% more than that. What is the selling price of the jacket?
A.$16.00
B.$36.00
C.$24.00
D.$28.00
Please explain how you got the answer
The selling price of the jacket is $36. so the correct option is B.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Given that store buys a jacket for $20.00 and then sells it to customers for 80% more than that.
We need to add 80% of $20 to $20.
Therefore, First we calculate 80% of $20.
80% of $20
= 80% x $20
= 0.80 x $20
= $16
So 80% of $20 is $16.
This is the amount the store adds to the cost called as the markup.
Now we add the cost $20 and the markup $16.
$20 + $16 = $36
Thus The selling price is $36
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crystal's mother kept a record of. crystal's. height at different ages. she recorded the information in a table. is the relationship between crystal's age and her height proportional? explain.
The relationship between Crystal's age and her height is determined by examining the ratios of age to height for different entries in the table. If the ratios are equal, then the relationship is proportional.
Explanation:To determine if the relationship is proportional, compare the ratios of Crystal's age to her height for different entries in the table. If the ratios are equal, then the relationship is proportional. If the ratios are not equal, then the relationship is not proportional.
For example, if Crystal's age is 10 and her height is 50 inches, the ratio would be 10/50 = 0.2. If Crystal's age is 20 and her height is 100 inches, the ratio would be 20/100 = 0.2. Since the ratios are equal, the relationship between Crystal's age and her height is proportional.
london buys 3 more packs of trading cards today. each pack has 8 cards. write a multiplication sentence to show how many cards landon buys today. then find how many cards landon has now.
Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
A baseball dropped from the roof of a tall building takes 5.23 second s to reach the ground. How tall is the building?
HELP ASAP
Angelica swims 14 3/7 hours per month. If she swims the same amount every month, how many hours does she swim in 6 months?
What is the area of this polygon 15m 10m 8m 9m
The provided data is insufficient to accurately calculate the area of the polygon. With an assumption that the shape is a rectangle and the lengths are 15m and 8m, the area would be 120 square meters.
Explanation:To calculate the area of a polygon, it's ideal to break down the polygon into simpler shapes like rectangles or triangles, for which we have well established formula for area. However, the information you've provided is inadequate to define a specific polygon shape like a rectangle or a square. Four sides could suggest a rectangle or a quadrilateral, but we don't know two essential properties: the arrangement of these sides and the measure of angles. For instance, if it was a rectangle, we'd look for pairs of equal lengths. If your shape is indeed a rectangle, and we assume that 15m and 8m are the length and width (or vice versa), we could calculate the area. For a rectangle, the area is calculated as length multiplied by width. In this case, it would be 15m*8m = 120 square meters.
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What is 0.623 divided by 0.07
The solution to the division of 0.623 by 0.07 is;
8.9
We want to divide 0.623 by 0.07.
This is;
0.623/0.07
Now, to solve this easily, let's make use of multiplication property of equality where if we multiply the numerator and the denominator by the same number, we will still get the same answer.
Let's multiply numerator and denominator by 100 to get;
(0.623 × 100)/(0.07 × 100)
⇒ 62.3/7
Dividing this gives us a final answer of; 8.9
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Hello I'm Vanessa and I'm 16, im recently taking Geometry online and I'm trying to find someone that is willing to help me out. Thanks
I need help with 2x+12=3x-31
The value of x in the given equation is 41.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15, 9x+9 = 9, 3x+9 = 7, ax+by = z etc.
Based on the degree, equations can be classified into the following three types: Linear equation, Quadratic equation or Cubic equation
Given that, an equation 2x+12 = 3x-31
Solving for x,
2x+12 = 3x-31
Combining the like terms, by transposing,
3x-2x = 31+12
x = 41
Hence, the value of x in the given equation is 41.
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elliot drove 202.8 miles and used 6.5 gallons of gasoline.How many miles did he travel per gallon of gasoline?
What is 20 tiles in 5 rows array
Does 17/20 repeat or terminate
Two bicyclists are 180 miles apart when they start racing towards each other. If their speeds are 14 mph and 16 mph respectively, how long will it be before they are twenty miles apart?
Answer:
5 1/3 hours
Step-by-step explanation:
Answer:
5 1/3 hours or 320 minutes
Step-by-step explanation:
what is the flope line that is parallel of
[tex]y = 2x + 4[/tex]
2 PART QUESTION
Ted likes to run long distances. He can run 20km in 95 minutes. He wants to know how many kilometers (k) he will go if he runs at the same pace for 285 minutes. What proportion could Ted use to model this situation?
A.) k/20= 95/285
B.) 285/95=k/20
Solve the proportion to determine how far Ted will run in 285 minutes?
What is 6 1/6 as a Decimal Please!