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Use the distributive property to fill in the blanks​

Answer:

B.-4

Step-by-step explanation:

Hope it help!!!!!!

Given that

PQ || AB

CP = x+3

PA = 3x+19

DC = x+3

CA = x

QB = 3x+4

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (3x+19) / (x+3) = (3x+4) / x

On applying cross multiplication then

⇛ x(3x+19) = (3x+4)(x+3)

⇛ 3x²+19x = 3x(x+3)+4(x+3)

⇛ 3x²+19x = 3x²+9x+4x+12

⇛ 3x²+19x = 3x²+13x+12

⇛ 3x²+19x-3x²-13x = 12

⇛ (3x²-3x²)+(19x-13x) = 12

⇛ 0+6x = 12

⇛ 6x = 12

⇛ x = 12/6

⇛ x = 2

∴ , x = 2

Answer: The value of x for the given problem is 2

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

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Answer:

One solution

Step-by-step explanation:

Start by simplifying the equation.

Then you have 12x + 6 = 6x + 24,

Continue to solve

Because x is equal to one digit and not x = x or 3 = 5, you have one solution

                                                            (Infinite) or (none)

Hope this helps!

Answer:

Yes they will read the same amount of pages in 3 days

Step-by-step explanation:

Because when you do the math they add up to the same amount of pages.

The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Robert reads 30 pages the first day and 20 pages each day after that.

And, Tony reads 40 pages the first day and 15 pages each day after that.

Now,

Let the number of days for same pages read = x

So, We can formulate;

For Robert;

Number of pages = 30 + 20x

For Tony;

Number of pages = 40 + 15x

For equal days, we get;

⇒ 30 + 20x = 40 + 15x

Solve for x as;

⇒ 20x - 15x = 40 - 30

⇒ 5x = 10

⇒ x = 2

Thus, The correct statement is;

''Yes. They will read the same amount of pages in 2 days.''

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Answer:

$700.000 is the interest

Step-by-step explanation:

hope the answer helps

Simple interest is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

The total interest is $2100.

It is the interest calculated on the principal at a given rate for a time period.

The simple interest is given as,

SI = (Px R x T) / 100

We have,

P = $5000

R = 7%

T = 6 years

SI = P x R x T / 100

SI = 5000 x 7 x 6 / 100

SI = 50 x 7 x 6

SI = 50 x 42

SI = $2100

Thus,

The total interest is $2100.

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Answer:

x=5,-5

Step-by-step explanation:

Answer:

T31= 278

Step-by-step explanation:

formula is Tn=a +(n-1)d

T31= 8+(31-1)9

T31=8+(30)9

T31=8+270

T31=278

Answer:

x=k×2y

substitute x for 6 and y for 20

6=2(20)×k

6=40k

Divide both sides by the coefficient of k

6/40=40k/40

3/20=k

To find y, when x=9

9=3/20×2y

9=6y/20

cross multiply

9×20=6y×1

180=6y

Divide both sides by the coefficient

y=30

when -3 - 2m < 0 => -2m < 3 => m > -3/2

ANSWER: C

Ok done. Thank to me :>

Answer: The answer is the number of each type of topping ordered.

Answer:

$9

Step-by-step explanation:

Cost of 24 kg of tomatoes = $216

Cost of 1 kg of tomatoes = 216/24

                                 = $9

Hope it helped you!

The number of cats and dogs the doctor saw is 56.

Ratio expresses the relationship between two values. It shows the frequency that one value is contained another value. The sign of ratio is :.

The equation that can be used to determine the total number of dogs that the doctor saw is:

(ratio of dog / total number of dogs and cats) x total number of animals = number of dogs

5/7 x a = 40

Where a is the total number of dogs and cats

In order to determine the value of a, divide both sides of the equation by 7/5.

40 x 7/5 = 56

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Answer:

16$

Step-by-step explanation:

Answer:

i think the cost of each bag is $2.61

Step-by-step explanation:

suppose the cost of each bag is $x

7.83 = 3x

7.83/3 = x

2.61 = x

so the cost of each bag is $2.61

Answer:

0.8 or 0.08 i believe

Step-by-step explanation:

hope this helps!

Answer:

Infinitely many solutions.

Step-by-step explanation:

x-6y=7

-x+6y=-7

--------------

0=0

infinitely many solutions.

Answer:

Step-by-step explanation:

The easiest way is to use a graphing tool and solve it graphically.

We did it with Desmos and it shows 3 real roots, see below.

The polynomial is of degree 7, hence it should have 7 roots.

Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots

Answer:

4 complex roots

Step-by-step explanation:

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

Answer:

[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Step-by-step explanation:

First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]

Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]

After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]

Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]

Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]

Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]

After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]

Now, simplify again to get [tex]5xy-10x=10y-27[/tex]

Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]

Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]

If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Hope this helps explain it!

Answer:

the answer should be A Hope this helps!

hello there! you did not put any question so i would not be able to answer your question :(

Answer:

5x-15+4=18

technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be

5(x-3)=14

Answer:

the answer should have equal sides

Step-by-step explanation:

the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.

730*0.03=21.9

She makes $21.90

Answer:

Step-by-step explanation:

Given equation:

Solve for w:

Answer:

V/lh

Step-by-step explanation:

Given,

V = lwh

Here we know

V = volume

l = length

w = width

h = height

Now,

On solving for w

V = lwh

V = l × w × h

V/l = w × h

V/l × h = w

V/lh = w

Answer:

This is the answer

x=π/10

Answer:

b

Step-by-step explanation:i took the quiz