Use the distributive property to rewrite each algebraic expression.
1. (8+r)4 | 2. (b+5)12 | 3. 8(x+9) | 4. 4(2+a)
5. 3(5-v)

Answer:

8.5

Step-by-step explanation:

The required value of the number is 8.5 which is twice the difference between a number and 5 is 7​.

To solve this problem, we first need to express the given information in terms of a mathematical equation.

The statement "Twice the difference of a number and 5 is 7" can be represented as the equation 2 × (x - 5) = 7, where x is the number we're trying to find.

Next, we can solve this equation to find the value of x. To do this, we can first distribute the 2 on the left-hand side of the equation to get 2x - 10 = 7.

Then, we can add 10 to both sides of the equation to get 2x = 17.

Finally, we can divide both sides of the equation by 2 to get x = 17/2 = 8.5.

Therefore, the required value of the number is 8.5.

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Answer:

The total number of students is 3,000.

Step-by-step explanation:

Given that of the total number of candidates in an examination, 40% fail in first subject, of the rest 10% fail in the second and of those that pass in these two subjects, only 75% pass in the remaining subject, knowing that the number of unsuccessful candidates exceeds that of that of successful by 570, to find the total number of students the following calculation must be performed:

40 + (60 x 0.1) = 46

54 x 0.75 = 40.5

40.5% pass the 3 exams, while the remaining 59.5% do not.

59.5 - 40.5 = 19

19% = 570

570/19 = 30

30 x 100 = 3000

Thus, the total number of students is 3,000.

Answer:

Step-by-step explanation:

[tex]18\sqrt{8}-8\sqrt{18}=\sqrt{n}\\ \\ 36\sqrt{2}-24\sqrt{2}=\sqrt{n}\\ \\ 12\sqrt{2}=\sqrt{n}\\ \\ \sqrt{288}=\sqrt{n}\\ \\ n=288[/tex]

Value  of [tex]n = 288[/tex] as per the given equation.

" Equation is defined as the relation between variables as per given condition using sign of equality."

According to the question,

Given equation,

[tex]18\sqrt{8} -8\sqrt{18} =\sqrt{n}[/tex]

Simplify the given equation to get the value of [tex]n[/tex] ,

[tex]18\sqrt{2^{2}\times 2} -8\sqrt{3^{2} \times 2}=\sqrt{n} \\\\\implies 18\times 2\sqrt{2} -8\times 3\sqrt{2} =\sqrt{n} \\\\\implies 36\sqrt{2}-24\sqrt{2}=\sqrt{n}\\\\\implies (36-24)\sqrt{2}=\sqrt{n}\\\\\implies 12\sqrt{2}=\sqrt{n}\\\\\implies \sqrt{288}=\sqrt{n}\\\\\implies n = 288[/tex]

Hence, value  of [tex]n = 288[/tex] as per the given equation.

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Answer:

YZ = 4

Step-by-step explanation:

△XZW is simliar to △ YZV

Then use ratios to find the missing side

8/x = 12/6

12x = 48

x = 4

Also good luck on IXL that suuuucccckkksss

Answer:

7. Definition of midpoint

5. Definition of angle bisector

1reflexive property of equality

According to the Angle Addition Postulate, the total of two angle measurements connected by a common ray equals the size of the angle they produce.

Given,  ∠PSR = ∠PST, and PS bisects the angle ∠ QSU.

Thus From the figure, ∠TSU = ∠QSR

And also given PS bisects the angle ∠ QSU. and p is the same

Thus From the figure  ∠PSU = ∠PSQ

Additive property of length:

The additive property of equality in an equation asserts that the sides stay equal whether we add or subtract the same amount from both sides of the equation. For entire numbers as well, this property is valid.

Definition of angle bisector:

A "Bisector" in geometry is a line that splits a line into two distinct or equal sections. It is applied to angles and line segments.

Definition of an equilateral triangle:

An equilateral triangle in geometry is a triangle with three equal-length sides. An equilateral triangle has congruent sides, which means that each side is the same length. Additionally, each inside angle is identical (60 degrees).

Definition of midpoint:

the location on a line that is equally spaced from both ends. a time interval that lies halfway between the start and finish of an event.

Verticals angle theorem:

According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

Therefore, Since ∠PSR = ∠PST and PS bisects the angle ∠QSU, ∠TSU = ∠QSR. Since PS divides the angle ∠QSU, ∠PSU = ∠PSQ. It is the same because PS is the same line.

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Answer:

Pi is the ratio of the circumfrance to the diameter!!! the fourth one!!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is a square based pyramid so any horizontal slice will be a square.

Answer  D

Step-by-step explanation:

Answer:

3x + y = -16      

Step-by-step explanation:

Explanation:-

Given a system of equations are

        5x+6y =-5  

       - 2x  - 5y = -11

multiply '1' and Adding two system of equtions

                 + 1      (5x   +  6y   =  -5)

                + 1      ( -2x    -   5y  =   -11)

                          3x    +    y   = -16          

Final answer:-

                          5x   +  6y   =  -5

                        -2x    -   5y  =   -11

                          3x    +    y   = -16          

Answer:

use a calculator

Step-by-step explanation:

Answer:

I think it's 6 plates per stack, 4 cupcakes per box, and 5 orders per day. Not sure about 20 minutes for 10 songs.

Answer:

$75

Step-by-step explanation:

x+(25×9)=300

x+225=300

x=300-225

x=$75

Answer:

A

Step-by-step explanation:

the answer is A

(f+g)(x)= f(x)+g(x)

Answer:

it d j=6

Step-by-step explanation:

5+3=8

48/8

6

Answer:Your answer is....

Step-by-step explanation: j=6 :D

Answer:

ASA theorem tells us angle EXF congruent to angle EXD

The theorem tells you that ∠EXF ≅ ∠EXD by Bisector.

When two lines intersect at a location, vertical angles are generated. They are always on equal footing. In other words, four angles are generated anytime two lines cross or intersect. We can see that two opposed angles are equal, and these are referred to as vertical angles. They are also known as'vertically opposed angles' since they are perpendicular to each other.

Given:

<AXG = <CXD

By Vertical Opposite Angle.

and, <EXF = <EXD

By Bisector

As, <EXF + <EXD = < AXB  ( Vertical Opposite Angle)

and, EX is bisector

So, <EXF = <EXD

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Given:

The two expressions are

[tex](y\times 1)+2[/tex]

[tex]y+2[/tex]

To find:

Whether the given expression are equivalent or non-equivalent.

Solution:

If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.

The first expression is

[tex](y\times 1)+2=y+2[/tex]

The first expression is equal to the second expression after the simplification.

Therefore, the given expressions are equivalent.

1) It's February and you go to the store to buy some food for your pets. You have a Great

Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food

cost $60 for the big bag and he eats that in one week. The Savannah cats food cost

$15 a bag and it lasts him one week as well. You are there to buy food for the month

and have no more than $300 total to spend. Can you afford a month's worth of food?

a) If you bought the cat 6 weeks worth of food, how many weeks worth can you

buy your Great Dane?

Answer:

Step-by-step explanation:

As we know that from a theorem,

A greater angle of a triangle is opposite a greater side. Let ABC be a triangle in which angle ABC is greater than angle BCA; then side AC is also greater than side AB. For if it is not greater, then AC is either equal to AB or less.

As we have  angle A =120 so it means the other 2 angles will be less than angle A , hence the opposite side to angle A is BC ,

Hence BC line is the longest line in triangle ABC

Case : BC is the longest side

#Remember that the total degree of triangle is 180°

#If A° = 120° so B° + C° = 180°-120°

B° + C° = 60°

#From here, you already know that even the total of both of B and C is less than 120° which is the degree of A.

#If you are gonna find the length of BC, then you need to use trigonometry which will be

BC/sinA = AB/sinB = AC/sinC

#so, from here you can know that BC will be the longest one, because bigger the value, in sin, will be smaller the value

Answer:

by  using pemdas

Step-by-step explanation:

Particles are not uniformly distributed in a heterogeneous mixture. A homogeneous mixture has a uniform composition with all components in a single phase, while a heterogeneous mixture has a non-uniform composition with components in at least two different phases

Answer:

-1/20

Step-by-step explanation:

Answer:

42.3

Step-by-step explanation:

3.6 × (3) + 4.5 × (7)

= 10.8 + 31.5

= 42.3

Answer:

351

Step-by-step explanation:

3.6 x 3 = 10.8                                3.6 x (3) + 4.5 x (7)

4.5 x 7 = 31.5                                       10.8 + 31.5

10.8 + 31.5 =  42.3                                  42.3

Hope this helps :)

Answer:

77 degrees

Step-by-step explanation:

The interior angles of a triangle always add up to 180 degrees, so you can form an equation:

[tex]x + 71 + 32 = 180[/tex]

[tex]x + 103 = 180\\x = 77[/tex]

The median of the following data is 10

Answer:

[tex]y = -\frac{1}{5}x -1[/tex]

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

[tex](x_1,y_1) = (-5,0)[/tex]

[tex](x_2,y_2) = (0,-1)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-1-0}{0 -(-5)}[/tex]

[tex]m = \frac{-1}{0 +5}[/tex]

[tex]m = -\frac{1}{5}[/tex]

The equation in slope intercept form is:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -\frac{1}{5}(x - (-5)) + 0[/tex]

[tex]y = -\frac{1}{5}(x +5)[/tex]

Open bracket

[tex]y = -\frac{1}{5}x -1[/tex]

Answer:

You'd need 8 cups of muffin mix to make 12 servings of muffins.

12 x 2/3 = 8 cups of muffin mix

Step-by-step explanation: