Solve the inequality 2 (m+3) +1 > 23

Answer:

[tex]-\frac{5}{8} (-3 + -7) = -\frac{5}{8}(-3) + -\frac{5}{8}(-7)[/tex]

The expression after applying distributive property is [(-[tex]\frac{5}{8}[/tex]) × (-3)] + [(-[tex]\frac{5}{8}[/tex] ) × (-7)] = 50/8

Distributive property shows us how to multiply an arithmetic number or an algebraic expression with two or more numbers or expressions within brackets.

This can be symbolically represented as :

X ( Y + Z ) = XY + XZ

The expression given here is -[tex]\frac{5}{8}[/tex] (-3 + (-7)).

Applying distributive property, we get,

-[tex]\frac{5}{8}[/tex] (-3 + (-7)) =  [(-[tex]\frac{5}{8}[/tex]) × (-3)] + [(-[tex]\frac{5}{8}[/tex] ) × (-7)]

                  = (15/8) + (35/8)

                  = 50/8

The expression -[tex]\frac{5}{8}[/tex] (-3 + (-7)) after applying distributive property changes to the expression [(-[tex]\frac{5}{8}[/tex]) × (-3)] + [(-[tex]\frac{5}{8}[/tex] ) × (-7)] = 50/8.

To learn more on distributive property, click:

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Answer:

Taco: $1.25

Burrito: $2.75

Step-by-step explanation:

Let x = tacos

y = burritos

Since the first family bought 2 burritos, we multiply y by 2; we multiply x by 3 since they bought 3 tacos.

3x + 2y = 9.25

We do basically the same thing for the other family

7x + 4y = 19.75

We'll use elimination method to solve this

7x + 4y = 19.75

3x + 2y = 9.25

Multiply the bottom equation by -2

7x + 4y = 19.75

(3x + 2y = 9.25)-2

7x + 4y = 19.75

-6x - 4y = -18.5

Now subtract the equations and we get this

x = 1.25

A taco costs $1.25

Plug the new x into one of the original equations

3(1.25) + 2y = 9.25

3.75 + 2y = 9.25

- 3.75         - 3.75

2y = 5.5

2y/2 = 5.5/2

y = 2.75

A burrito costs $2.75

1. To solve algebra equations using the distributive property, we need to distribute (or multiply) the number with each term in the expression. In that way, the brackets are removed. We can then combine like terms and solve by equations when necessary.

2. The first step is simply to apply the distribution using the distributive property : 3(3x-5x)+2=-8 applying the distributive operation we get 9x -15x or we could have simply done 3(2x)+2=-8 which gives us 6x+2=-8 and finally 6x= -8/2= -4

6x=-4 means x= -4/6 thus x= -2/3

3. Multiplication has priority over addition or subtraction thus we have first to apply the distributivity before combining the variable terms

Answer:

d = 12.99cm

Step-by-step explanation:

The formula of the circumference of a circle is as follows:

    [tex]C = \pi d[/tex]

    [tex]40.82 = \pi d\\\frac{40.82}{\pi } = d\\ d = 12.99 cm[/tex]

Answer:

1.x^7

2.x^10

3.a^2

4. 5

Step-by-step explanation:

1. x^(5+2)=x^7

2.x^(5*2)=x^10

3.a^(5-3)=a^2

4. 5 * 1=5

Answer:

x power 7

x power 10

a²

1

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

(x,y) -> (x+1,y-7)

Answer:

3 hours of tv per day

Step-by-step explanation:

there are 7 days in a week

21/7 = 3

Answer:

31.8°

Step-by-step explanation:

sin x = 39/74

x = arcsin(39/74), which is about 31.8°.

Answer:

Step-by-step explanation:

The standard form is:

Given equation in point- slope form:

Convert:

Answer: sin B is equal to H in most scenarios, but I don't know what it is in this one.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Hello There!

There are [tex]52[/tex] weeks in a year. Hope this helps

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

Answer:

Sara=18 years

Samia=30 years

Step-by-step explanation:

For age questions, the difference of their ages remains the same.

Now             6 years from now

Sara:Samia Difference Sara:Samia Difference

  3   :    5            2             2   :   3           1

                                           x2     x2         x2   (times two to make them equal)

                                           4   :    6          2        

4-3=1

1 unit=6

Sara=6x3=18

Samia=6x5=30

Hope this helps! Thanks.

Answer:

Find the product as follows 9/10 x 2/5= 18/50

Step-by-step explanation:

I had this question and got it right!

Answer:

the diameter of a circle is 56 CM

Answer:

anong grade po yan?

baka alam ko po

Answer:

A

Step-by-step explanation:

AD and BC are parallel and AB and DC are parallel so that crosses out the two no options. The corisponding angles theorem is for is there is a tranversal  so that crosses out teh second option.

Answer:

Domain = {1,2,3,4,5,6} and Range = {42,49,56,63,70,77The given function is :

y = 7x + 35

Where

x is no of members

y is the monthly cost

Your group has enough money for up to six members to joim fitness club. It means domain (the set of input values) are:

Domain = {1,2,3,4,5,6}

Put x = 1 to 6 one by one,

y = 7(1) + 35 = 42

y = 7(2) + 35 = 49

y = 7(3) + 35 = 56

y = 7(4) + 35 = 63

y= 7(5) + 35 = 70

y = 7(6) + 35 = 77

Range = {42,49,56,63,70,77}

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Answer:

13)

Domain: -1 ≤ x ≤ 3

Range: -8 ≤ y ≤ 8

14)

Domain: 2 < x < 7

Range: 1 < y < 6

15a)

Independant: x

Dependant: y

15b)

Domain ­ {1, 2, 3, 4, 5, 6}

Range ­ {42, 49, 56, 63, 70, 77}

Hope it helps <3

Answer:

They should be the same as abc because it is just translated across the y axis if we were on a grid.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

48/3=16

48-16=32

32-4=28

Answer:

x(n) ≤ 678(n)    

Step-by-step explanation:

let n represent per night.

it cannot cost more than $678 per night (n). If x was how much you paid, it would depend on the number of nights. So that is represented by x(n). Then, add the rest of the inequality (≤678(n))and the  answer is x(n) ≤ 678(n)

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