Solve for x: x + 17 = 5x

5-12 divided by (6-2)-1 (4-3) multiply by 2+15 divided by (6-1) Show your work

nataly862011 [7]

5-12 ÷(6-2)-1

Do whats in the parenthesis

5-12 ÷4-1

Do division next

5- 3- 1 = 1.

Do the same for the next.

(4-3) x 2+15 ÷(6-1)

1 x 2+15 ÷5

2+15÷5

2+3= 5

3 0

2 years ago

Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What

Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ab$

- The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

- The Subtraction property of equality states that:

$If\ a=b\ then\ a-c=b-c$

- The Multiplication property of equality states that:

$If\ a=b\ then\ a*c=b*c$

- The Division property of equality states that:

$If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}$

Given the following equation:

$4(3x-8)-4=24$

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

$(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24$

2. Combining (or adding) like terms:

$12x-36=24$

3. Addition property of equality, because she added 36 to both sides of the equation:

$12x-36+36=24+36\\\\12x=60$

4. Division property of equality, because she divided both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

7 0

2 years ago

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#16 and #19 only Please answer both as soon as possible.

Vlad1618 [11]

Answer:

1. it is not a direct variation because the value k is not kept throughout the ordered pairs

2. -a^5 - 2a³ + 2a², leading coefficient is -1

Step-by-step explanation:

1. to find the direct variation, we will use y/x = k with k representing our constant throughout the chart. if every value is equal to k, it is a direct variation

for this problem we will assume that the cup sizes are x and the cost is y

so the ordered pairs are (8, 0.90), (12, 1.35), (16, 1.80), and (24, 2.25)

.90/8 = 0.1125 <-- this is our k value for which every result has to be equal to

1.35/12 = 0.1125

1.80/12 = 0.1125

2.25/24 = 0.09375

since the value k was not kept throughout the ordered pairs, this is not a direct variation

2. the standard form of a polynomial is the exponents in descending order.

we have the following polynomial: 2a² - a^5 -2a³

to write it in standard form, we will go in descending order of the exponents. the largest exponent being first

-a^5 - 2a³ + 2a²

the leading coefficient of the polynomial is -1, as there is a negative sign in front of the newly formed polynomial

4 0

2 years ago

A donut shop requires customers to spend at least $4 in order to use their debit card to pay for a purchase. Maya wants to buy a

Anuta_ua [19.1K]

Answer:

x+$1.20 ≥ $4

4 0

1 year ago

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A circle passes through the vertices of a square of side 20cm.Find the radius of the circle.

algol13

Answer:

14,1 cm

Step-by-step explanation:

If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.

We use Pytagoras Theorem to find out the length (L) of the diagonal given that:

L² = (20)² + (20)²

L² = 2* (20)²

L = √2 * 20

L = 1,4142* 20

L = 28,28 cm

L diagonal in the square is a diameter of the circle then radius of a circle is:

r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm

3 0

1 year ago

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Solve for x: x + 17 = 5x - 23