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laiz [17]
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​
Mathematics
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}

(x + \dfrac{7}{2})^2 = \dfrac{9}{4}

Now we use the square root property, if

x^2 = k, then

x = \pm \sqrt{k}

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

5 0
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

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

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

Factorize the first bracket

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

Represent the _ with X

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;

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

Subtract b from both sides

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

- 3 = \frac{X}{5}

Multiply both sides by 5

- 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)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

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

3 0
3 years ago
Which expression can be expanded using the binomial theorem?
kirill [66]

Answer:

The third choice:  (x² - 1)³

Step-by-step explanation:

That is the only expression that is a binomial.  Binomial means "two numbers".  For this expression, x² is one number, and -1 is the other.  Choice 1 is a monomial (one number) and choices 2 and 4 are trinomials (three numbers)

7 0
3 years ago
If x varies as y and if x=20 when y=9 , find x when y=18​
andrezito [222]

Answer:1/2 y

Step-by-step explanation:

We can solve this using ration reasoning:  

x

2

x

1

=

y

2

y

1

Explanation:

If  

x

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

y

1

In this case,

x

2

9

=

24

18

x

2

=

9

⋅

24

18

=

12

Or, intuitively, if  

x

∝

y

and  

x

=

9

when  

y

=

18

, we can conclude that

x

=

1

2

y

and  

1

2

of 24 is 12.

3 0
3 years ago
10(11-x) pls I need help​
nadezda [96]

Answer: 110 -10x

Step-by-step explanation:

You do pemdas

So 11•10 = 110

Then -10•x = -10x

And then you get

110-10x

8 0
3 years ago
Read 2 more answers
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