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Alenkasestr [34]
3 years ago
7

Roberto wants to display his 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different wa

ys can Roberto display his figures?
Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Let x denote the number of pages holding 2 cards and y denote the number of pages holding 3 cards.

So his entire number of card would be represented by 2x + 3y, which is given as 18.

2x + 3y = 18

Subtract 3y from the two sides:

2x  = 18 – 3y

then divide both sides by 2:

x = (18 – 3y)/2

We know that x must be an integer. So 18 – 3y must be a multiple of 2. Since 18 is a multiple of 2, 3y is also a multiple of 2. Then y must be a multiple of 2 too.

Let's start with y = 0.
When y = 0, x = (18 – 3(0))/2 = 9.
When y = 2, x = (18 – 3(2))/2 = 6.
When y = 4, x = (18 – 3(4))/2 = 3.
When y = 6, x = (18 – 3(6))/2 = 0.

Thus there are 4 ways to display his figures.

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Answer: 2, 20 dollar bills and 1, 1 dollar bill, and there is no way to use 8 coins to get 11 cents you can use 7 by using 1 nickel and 6 pennies

Step-by-step explanation:

7 0
1 year ago
Which of the following is the result of completing the square for x2 + 8x - 6 ?
melamori03 [73]
STEP 1- since 6 doesn't contain the variable to solve for move it to the right side of the equation by subtracting 6 from both sides
X^2-8X=-6
STEP 2- create a trinomial square on the left side of the equation find the value that is equal to the square of half of b the coefficient of x 
(b/2)^2 =(-4)^2
STEP 3- add the term to each side of the equation
x^2-8x+(-4)^2=-6=(-4) 
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x^2-8x+16=10 
STEP 5- factor the perfect trinomial square into (x-4)^2
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STEP 6-solve the equation for x
x=4= square root of 10

 
5 0
3 years ago
Read 2 more answers
I need help with an algebra assignment right away!
Georgia [21]

So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)

Starting with the first question: 9x + 2y = 6

Firstly, subtract 9x on both sides: 2y = -9x + 6

Next, divide both sides by 2, and your equation will be y = -4.5x + 3

Now with the next equation: y - 3 = 4(x + 1)

Firstly, foil 4(x + 1): y - 3 = 4x + 4

Next, subtract y on both sides: -3 = 4x - y + 4

Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y

Next equation: y + 7 = -2(x - 3)

Firstly, foil -2(x - 3): y + 7 = -2x + 6

Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1

Next: y - 5 = 3(x - 2) (part a)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, add 5 on both sides, and your equation is: y = 3x - 1

Next, y - 5 = 3(x - 2) (part b)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, subtract y on both sides of the equations: -5 = 3x - y - 6

Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y

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3 years ago
Are the 2 triangles congruent? If so, what postulate did you use?
jok3333 [9.3K]

Answer:

Step-by-step explanation:

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3 0
3 years ago
Which number represents 59% of 74??
alexandr1967 [171]

Answer:

43.66

Step-by-step explanation:

Just calculate 59% of 74

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