What is the GCF of 56 ane 33?
Answers
To find the GCF, all you need to do is list the factors of each given number, and find the highest one that is similar between the two.
Factors of 33: 1, 3, 11, 33
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
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Mark has some trading cards. When he sorts them by 2s 3s 4s and 5s, he has 1 left over each time. Mark has fewer than 100 cards. How many cards does he have
Answers
Final answer:
To determine your age, use the equation 200 - 2x = 16 to isolate the variable x and solve for its value. After performing these operations, we find that x = 92. Therefore, you are 92 years old.
Explanation:
To find out how old you are, we can set up an equation. Let's assume your age is x. Then, 200 reduced by 2 times your age can be written as 200 - 2x. According to the question, this expression is equal to 16. So, we can write the equation as 200 - 2x = 16. To solve this equation, we need to isolate the variable x. We can do this by subtracting 200 from both sides of the equation and then dividing by -2. After performing these operations, we find that x = 92. Therefore, you are 92 years old.
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Answers
Wall 1 & 2 : 26 ft by 9 ft
Wall 3 : 18 ft by 9 ft
Area 1 : 26 ft x 9 ft = 234 ft²
Area 2 : 26 ft x 9 ft = 234 ft²
Area 3 : 18 ft x 9 ft = 162 ft²
Total Area : 234 ft² + 234 ft² + 162 ft² = 630 ft²
1 Gallon = 250 ft²
630 ft² ÷ 250 ft² per gallon = 2.52 gallons
of the course without trees?
unit
Answers
Answer:
61
Step-by-step explanation:
99 minus 38
Answer:
61 meters
Step-by-step explanation:
To find this answer, you need to subtract the length with trees from the total length of the course. With this information, you get an equation that looks something like x + 38 = 99, with x being the length of the course without trees.
Subtract 38 from both sides:
x + 38 = 99
- 38 - 38
x = 99 - 38
Simplify:
x = 61
a. Write a system of equations for the situation. Use s for the amount Sam earned and g for the
amount George earned.
b. Graph the equations in the system. Be sure to label all axes and show your scale.
c. Use your graph to determine how much each person earned.
Answers
Answer:
Step-by-step explanation:
g = s + 75
g + s = 525
That's just the answer for (a). You'll have to graph it yourself.
Guide to the methodology:
You need to plot 2 points for each equation and draw a line between the points. Where the two lines intersect gives you the values that solve the equations.
To get your co-ords,
Let g = 0
s = -75
Create a graph with g as one axis and s as the other. Plot a point of (0,-75)
Let s = 0
g = 75
Plot another point (0,75)
Draw a line between the two points. This is your line for g = s +75
You then need to plot a line for the second equation.
Let g = 0. S = 525. First co-ordinate is (0,525)
Let s = 0. G = 525. Second co-ordinate is (525,0)
12−n⋅5=52
n÷5+12=52
12−n÷5=52
n⋅5+12=52
Answers
Final answer:
The equation 'n⋅5+12=52' correctly models the sentence 'Twelve more than the product of a number and 5 is 52'. This equation states that when a number is multiplied by 5 and 12 is added to the resulting product, the total is 52.
Explanation:
The question provides a phrase which can be expressed as an equation in mathematics. Given the phrase 'Twelve more than the product of a number and 5 is 52', we understand that 'product' refers to multiplication, 'number' is the unknown we are solving for, typically denoted by 'n', and 'twelve more than' means adding 12. Consequently, the mathematical equation that models the sentence is: n⋅5+12=52. This equation implies, the product of a number and 5, to which 12 is added, results in 52.
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Final answer:
The equation that models the sentence is n⋅5+12=52 which has a value of 8.
Explanation:
The correct equation that models the given sentence is n⋅5+12=52.
To solve this equation, we need to isolate the variable n.
We can start by subtracting 12 from both sides of the equation:
n⋅5 = 52 - 12
n⋅5 = 40
Next, we divide both sides of the equation by 5 to solve for n:
n = 40 ÷ 5
n = 8
Therefore, the value of the number is 8.
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Answers
Answer:
Step-by-step explanation:
1. The triangles are similar because the sides are proportional and they both hava a right angle.
2. It would be the hypotenuse leg theorem since they are right triangles.
3. The right angle justifies the triangles being similar.