Use the distributive property to expand the following expression.
-2(2.1x+3y-1.8)
WILL MARK BRAINLYEST

Given :

On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .

The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.

To Find :

The price of a senior ticket and the price of a child ticket.

Solution :

Let, price of senior ticket and child ticket is x and y respectively.

Mathematical equation of condition 1 :

10x + y = 85    ...1)

Mathematical equation of condition 2 :

5x + 7y = 75    ...2)

Solving equation 1 and 2, we get :

2(2) - (1)   :

2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0

10x + 14y - 150 - 10x - y + 85 = 0

13y = 65

y = 5

10x - 5 = 85

x = 8

Therefore, price of a senior ticket and the price of a child ticket $8 and $5.

Hence, this is the required solution.

Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

Answer:

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initi… Get the answers you need, ... is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical metal is 10.5cm and height is 63cm. How many cubes will be made.

Step-by-step explanation:

hope this is right!

I think the answer is a.

Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.

[tex]-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b[/tex]

Step 2: Now we write the equation in slope-intercept form.

[tex]y = -4x[/tex]

Step 3: We can now change the above equation to standard form by moving variables to one side.

[tex]y = -4x\\\\4x + y = 0[/tex]

Our answer is D. 4x + y = 0.

*Slope-intercept form: y = mx + b.

Answer:

The relationship B is different than the other three, because it has a different proportionality constant.

Step-by-step explanation:

All available options show direct relationships, which are defined as follows:

[tex]y\propto x[/tex]

[tex]y=k\cdot x[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]k[/tex] - Proportionality constant, dimensionless.

We proceed to use the following strategy based on the proportionality constant, that is:

[tex]k = \frac{y}{x}[/tex]

A different relationship must indicate a different proportionality constant:

Option A ([tex]x = 0.8[/tex], [tex]y = 4[/tex])

[tex]k = \frac{4}{0.8}[/tex]

[tex]k = 5[/tex]

Option B ([tex]x = 10[/tex], [tex]y = 55[/tex])

[tex]k = \frac{55}{10}[/tex]

[tex]k = 5.5[/tex]

Option C ([tex]x = 4[/tex], [tex]y = 20[/tex])

[tex]k = \frac{20}{4}[/tex]

[tex]k = 5[/tex]

Option D ([tex]x = 10[/tex], [tex]y = 50[/tex])

[tex]k = \frac{50}{10}[/tex]

[tex]k = 5[/tex]

The relationship B is different than the other three, because it has a different proportionality constant.

Answer:

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Step-by-step explanation:

A quadratic function is the standard form of the parabola. We can take advantage of the symmetry property of the parabola by using the following formula from the Analytical Geometry:

[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)

Where:

[tex]C[/tex] - Parabola constant, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Depedent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex of the parabola, dimensionless.

If we know that [tex](x_{1},y_{1})=(2,-6)[/tex], [tex](x_{2},y_{2})=(7,-11)[/tex] and [tex]h = 4[/tex], then we have the following system of linear equations:

[tex](x_{1},y_{1})=(2,-6)[/tex]

[tex]-6-k = C\cdot (2-4)^{2}[/tex]

[tex]4\cdot C +k = -6[/tex] (2)

[tex](x_{2},y_{2})=(7,-11)[/tex]

[tex]-11-k =C\cdot (7-4)^{2}[/tex]

[tex]9\cdot C + k = -11[/tex] (3)

By clearing [tex]k[/tex] in (2) and (3) and equalizing each other, we get that:

[tex]-6-4\cdot C = -11-9\cdot C[/tex]

[tex]5\cdot C = -5[/tex]

[tex]C = -1[/tex]

And the remaining variable is calculated by substituting directly on (3):

[tex]k = -11-9\cdot C[/tex]

[tex]k = -11-9\cdot (-1)[/tex]

[tex]k = -2[/tex]

Then, the equation of the parabola is:

[tex]y+2 = -(x-4)^{2}[/tex]

And the standard form of the equation is obtained by algebraic handling:

[tex]y+2 = -(x^{2}-8\cdot x + 16)[/tex]

[tex]y + 2 = -x^{2}+8\cdot x -16[/tex]

[tex]y = -x^{2}+8\cdot x -18[/tex] (4)

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Given:

Total number of problems = 24

Michael completed [tex]\dfrac{1}{4}[/tex] of his homework in [tex]\dfrac{3}{4}[/tex] of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{1}{4}[/tex]

Part of work done in an hour [tex]=\dfrac{4}{3}\times \dfrac{1}{4}[/tex]

                                                [tex]=\dfrac{1}{3}[/tex]

Therefore, he complete [tex]\dfrac{1}{3}[/tex] of his homework in 1 hour. Hence, all options are incorrect.

Answer:

12books

Step-by-step explanation:

4 books → 1 $5 coupon

$15 coupon = $15 / $5 = 3times of $5 coupons

3 $5 coupons → 4 x 3 = 12 books

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The number of books for $ 15 coupon is 12 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

From the bookstore :

Number of books for $ 5 coupon = 4 books

So ,

Number of books for $ 15 coupon = Number of books for $ 5 coupon x 3

Number of books for $ 15 coupon = 4 x 3 books

Number of books for $ 15 coupon = 12 books

Therefore , the number of books is 12

Hence , the number of books for $ 15 coupon is 12 books

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Answer:

The person above meh

Step-by-step explanation:

Answer:

b. 29

Step-by-step explanation:

Answer:

bruh i  cant see it

Step-by-step explanation:

Answer: what does the display say

Answer:

41g

Step-by-step explanation:

65.6/8= 8.2g per cake

8.2*5 cakes= 41g

Answer:

Step-by-step explanation:

65.6g = 8 cakes

We need to find the sugar for 1 cake:

65.6 ÷ 8= 8.2 (gram for 1 cake)

The sugar for 5 cakes:

8.2 × 5= 41 (gram for 5 cakes)

Answer:

4(9a+5)

Step-by-step explanation:

Answer:

4(9a+5)

Step-by-step explanation:

Their common factor is 4 so divide both by 4 and put it in parentheses times 4  

The value of x in the expression is 13.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

Given:

The triangle ABC = triangle DEC,

and angle b=3x and angle e=6x-39.

To find the value of x:

We know,

b = e

So, substituting the values,

3x = 6x - 39

3x = 39

x = 13.

Therefore, the value of x is 13.

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Answer:

The tip that the family gave the waiter is 16.69$

Answer:

The answer is C.

Step-by-step explanation:

Took the lesson on edge 2021

Answer:

74

Step-by-step explanation:

Using linear equations, we are given two equations from the questions:

4x +7y=30 from day one and 3x +5y=22 from day two

Multiply the first equation by 3 and second by 4 giving us

12x +21y=90 and 12x +20y=88. Minus both equations.

12x - 12x +21y - 20y= 90 - 88, Gives you y=2,

You can now use the value of y to find x.

4x + 7y = 30

4x + 7(2)= 30

4x + 14= 30. Minus 14 on both sides giving you

4x=16. Divide both sides by 4.

x=4

Now use both values to find how much money is needed on the third day.

10x + 17y

=10(4) + 17(2)

=40 +34

=74

Answer:

9.45 × 10⁵ pounds of steel

Step-by-step explanation:

Last year, Summerfield Steel sold 6.5×10⁴ pounds of steel to private businesses and 2.5×10⁵ pounds of steel to government agencies.

Total amount of steel sold last year = (6.5 × 10⁴ + 2.5 × 10⁵) pounds = 315000 pounds = 3.15 × 10⁵ pounds

This year, they expect to sell 3 times that amount.

This year = 3 × 3.15 × 10⁵ pounds

= 9.45 × 10⁵ pounds of steel

Answer: 33 votes

Step-by-step explanation:

First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:

= 60% × 220

= 0.6 × 220

= 132 students

Sonia has received 25% of the casted votes. The number of votes Sonia got will be:

= 25% × 132

= 0.25 × 132

= 33 votes

Layla has received 75%. Her votes will be:

= 75% × 132

= 0.75 × 132

= 99 votes.

50% of the total votes will be:

= 50% × 132

= 0.5 × 132

= 66 votes

The number of votes needed by Sonia to receive 50% of the total votes will be:

= 66 - 33

= 33 votes

Answer:

46 1/2 miles

Step-by-step explanation:

Given that:

Bus traveled at a constant speed ;

Miles traveled = 15 1/2 miles

Time taken for the travel = 1/3 of an hour

Number of miles bus will travel in 1 hours :

Let number of miles traveled in 1 hour = n

15 1/2 miles = 1/3 hour

n miles = 1 hour

Cross multiply :

1/3 * n = 15 1/2 * 1

1/3n = 31/2

Divide both sides by 1/3

n = 31/2 ÷ 1/3

n = 31/2 * 3/ 1

n = 93/2

n = 46.5 miles = 46 1/2 miles

Answer:

1. y=3

2. y=3

Step-by-step explanation:

Let's start with the first one, 2x-2y=-8...

Let's start with the second one, 2x+2y=4

I hope my explanation and answer helps:)

Answer:

688

Step-by-step explanation:

9514 1404 393

Answer:

  30

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators.

Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:

  LCD = 3×10 = 30

The least common denominator is 30.

__

If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.

Answer:

C.

-48x7y3

Step-by-step explanation:

The next answer on edge is also C. 9a8 + 24a4 + 16

The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³ so option (C) will be correct.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given the two terms,

-8x⁵y² and 6x²y

If we multiply

-8x⁵y² ×  6x²y = (-8)×6 × x⁵y² × x²y

⇒ - 48 × x⁵x² y²y¹

⇒ - 48 × x⁵⁺²y²⁺¹

⇒ - 48x⁷y³

Hence "The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³".

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Answer: 39,600

This is what the cars value is after 1 year.

Answer:

Step-by-step explanation:

45,00 -12% =39,600

the question HOW MUCH DOES THE CAR DECREASE is asking by how much does the car decrease so 45,000 -39,600

which =5,400

hope this helps!

can I get brainliest please?

Answer:

-0.75

Step-by-step explanation:

Answer: the answer would be -0.75, or -3/4

Answer:

Step-by-step explanation:

L = 10 - 1.25t

t = 1 ⇒ L = 10 - 1.25 = 8.75 inches

t = 2 ⇒ L = 10 - 1.25(2) = 7.5 inches

t = 3 ⇒ L = 10 - 1.25(3) = 6.25 inches

hi i think the answers C     z<=16.1    good luck:)

pls don't hate on me if im wrong:(

Answer:

Your answer will be C z<=16.1

Step-by-step explanation:

How to solve this would be to divide -4 from both sides and because you are dividing a negative you have to flip the sign.