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3 years ago

10

2. Devin brings 5 dolls to her grandma's house. These dolls represent 10% of Devin's doll collection. What is the total number o

f dolls in Anita's doll collection? I

1 answer:

yan [13]3 years ago

8 0

Answer:

I think by anita you mean devins bc other wise it makes no sence

5*10=50

so devin has 50 dolls

Hope This Helps!!!

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Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

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$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

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3 years ago

Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a

Vitek1552 [10]

Answer:

$2ab - 6a + 5b - 15$

Step-by-step explanation:

Given

$2ab - 6a + 5b + \_$

Required

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$2ab - 6a + 5b + \_$

Split to 2

$(2ab - 6a) + (5b + \_)$

Factorize the first bracket

$2a(b - 3) + (5b + \_)$

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$2a(b - 3) + (5b + X)$

Factorize the second bracket

$2a(b - 3) + 5(b + \frac{X}{5})$

To result in a linear expression, then the following condition must be satisfied;

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$b - b- 3 = b - b+ \frac{X}{5}$

$- 3 = \frac{X}{5}$

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$- 3 * 5 = \frac{X}{5} * 5$

$X = -15$

Substitute -15 for X in $2a(b - 3) + 5(b + \frac{X}{5})$

$2a(b - 3) + 5(b + \frac{-15}{5})$

$2a(b - 3) + 5(b - \frac{15}{5})$

$2a(b - 3) + 5(b - 3)$

$(2a + 5)(b - 3)$

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<em>Hence, the constant is -15</em>

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3 years ago

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andrezito [222]

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Step-by-step explanation:

We can solve this using ration reasoning:

x

2

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1

=

y

2

y

1

Explanation:

If

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varies directly with

y

(written

x

∝

y

), then doubling

y

means doubling

x

, so the rations of final values and initial values will be the same:

x

2

x

1

=

y

2

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1

In this case,

x

2

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=

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18

x

2

=

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⋅

24

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=

12

Or, intuitively, if

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∝

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nadezda [96]

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Step-by-step explanation:

You do pemdas

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110-10x

8 0

3 years ago

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