Morris borrowed $6 from his mother. so far, he has repaid $4. if debt is represented as a negative number, what number sentence shows the amount of jack's remaining dept.?

Step-by-step explanation:

To find the mean, or average, you add all of the numbers and divide the sum by how many there are.

In this case, you add 25,27,32,29, and 42 and then divide the sum by 5.

25+27=52+32=84+29=113+42=155.

Then divide.

155/5=31.

hope it helps!

Answer:

D

Step-by-step explanation:

       Triangles given in Options (b) and (c) are similar.

From the picture attached,

a). In triangle ABC,

    ∠A + ∠B + ∠C = 180°    [By triangle sum theorem]

    60° + ∠B + 40° = 180°

    ∠B = 80°

    Similarly, in ΔDEF,

     ∠D + ∠E + ∠F = 180°

     60° + 85° + ∠F = 180°

     ∠F = 35°

       Since, measure of angles of both the triangles are different in measures, triangles will not be similar.

b). In ΔABC,

    ∠A + ∠B + ∠C = 180°

    45° + 50° + ∠B = 180°

     ∠B = 85°

     In ΔDEF,

     ∠D + ∠E + ∠F = 180°

      50° + 85° + ∠F = 180°

      ∠F = 45°

      Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E

       Since, measure of corresponding angles are equal, both the

       triangles (ΔABC ~ ΔFED) will be similar.

c).    Here, corresponding sides of both the triangles are proportional,

       [tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]

       [tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]

       [tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]

       Both the triangles ΔABC and ΔDEF will be similar.

  Therefore, Option B and Option C are the correct options.

Learn more about the similarity of two triangles here,

https://brainly.com/question/2499350?referrer=searchResults

Answer:

The probability is 1/28,561

Step-by-step explanation:

Here, we want to find the probability that each of the players will receive exactly one ace.

In a deck of cards, we have 4 suites of 13 cards each, with each of the suites consisting of 1 ace.

So, the probability of getting an ace for each of the four players will be 4/52 = 1/13

Now, the probability of each of the players getting exactly one ace will be; first got one ace , second got one , third got one and fourth got one.

mathematically, this probability will be 1/13 * 1/13 * 1/13 * 1/13 = (1/13)^4 = 1/28,561

Answer:

Step-by-step explanation:

Well, the midpoint formula is M=((x↓1 +x↓2)/2,(y↓1 +y↓2)/2 ). (not exponents, they tell you which x or y value).

If you plug in your 2 points, it becomes m=((2+0)/2,(6+2)/2).

When you add, it is m=(2/2, 8/2)

When simplified, it is m=(1,4)

Answer:

x³ + 9x² + 23x + 15

Step-by-step explanation:

Given

(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² + 4x + 3)(x + 5)

Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is

x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis

= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms

= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d

Answer:

the answer is observation study

Step-by-step explanation:

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

Answer:

m = 10

Step-by-step explanation:

3m - 12 =18

Add 12 to each side

3m - 12+12 =18+12

3m = 30

Divide by 3

3m/3 = 30/3

m = 10

Answer:

I got -11.97056 as the answer

Answer:

58 %

Step-by-step explanation:

Answer:

The mayor will lose by a large percentage.

Answer:

D??

Step-by-step explanation:

It may be D or A I’m not sure!!

Answer:

jimragarant 1

Step-by-step explanation:

pls can u help me with the questions i have posted i will give u anything u want

pls help its urgent

Answer:

108.8 yd²

Step-by-step explanation:

The area (A) of the triangle can be calculated as

A = [tex]\frac{1}{2}[/tex] absinC

where a, b are 2 sides and C the angle between them

Here a = 23, b = 9.5 and C = 85° , thus

A = 0.5 × 23 × 9.5 × sin85° ≈ 108.8 yd² ( to the nearest tenth )

Answer:

23

Step-by-step explanation:

Answer:

- 2/3

Step-by-step explanation:

Answer:  x= 20

Step-by-step explanation:

If m and n are parallel then the  3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.

2x + 20 = 3x

-2x            -2x

 20 = 1x

 x= 20

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

Answer:

-4x+20

Step-by-step explanation:

[tex]-4(x - 5)\\\\=-4x-4(-5)\\\\=-4x+20[/tex]

Answer:

m=8t

Step-by-step explanation:

money raised will equal 8 dollars per ticket sold

Answer:

To solve for the problem above, let x be the regular price of the shoe.

1/2x is the one-half price of the shoe then we add 6 for the pair of socks,

1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.

Step-by-step explanation:

Answer:

180

Mathematically, 10 times less than 20 would be: Take 20, subtract (10 x 20). Answer: -180.

Answer:

n + 30

Step-by-step explanation:

[tex]4(n+9)-3(2+n)\\\\\mathrm{Expand}\:4\left(n+9\right):\quad 4n+36\\=4n+36-3\left(2+n\right)\\\\\mathrm{Expand}\:-3\left(2+n\right):\quad -6-3n\\=4n+36-6-3n\\\\\mathrm{Simplify}\:4n+36-6-3n:\\\quad n+30[/tex]

Answer:

4n + 36 - 6 -3n

n + 30

Step-by-step explanation:

Answer

Hi mate,

Divided=divisor*quotient+remainder

19346=x*841+3

19346-3=841x

19343/841=x

x=23

Hope this helps u

Mark me as brainliest

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

2) x =5y  Solve for y

Divide both sides by y

x/5 = y

3) f/g = h Solve for G

Multiply both sides by g

(g/1) f/g =h(g)

f =hg

Divide by h

f/h = g

5) bf = m  Solve for b

divide both sides by f

bf/f = m/f

b = m/f

6) 8 = b/d   solve for d

Multiply both sides by d

8 ( d) = b

Divide by 8

d = b/8

Answer:

x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

6x+2y=12

6x+2x0=12

6x+0=12

6x=12

x=2

Answer:

x = 75

Step-by-step explanation:

X/5=15

Multiply each side by 5

x/5 * 5 = 15*5

x = 75

Answer:

Step-by-step explanation:

15*5=75

therefore answer is x=75

Hey there! I'm happy to help!

Order of operations is PEMDAS. Parentheses comes first.

(-4+2)=-2

So, now we have -5-(-2)2

The next available option is multiplication.

-5-(-4)

Now we do addition and subtraction.

-5+4

-1.

Have a wonderful day! :D

Answer:

f={(3,1),(2,4),(1,5)}

Answer:

4.1 megabytes

Step-by-step explanation:

well we use the rule of three

242 megabytes  ------- 100%

x      megabytes  -------- 17.1%

(x megabytes)(100%)=(242 megabytes)(17.1%)

[tex]x=\frac{242*17.1}{100} \\\\x=\frac{4138.2}{100} \\\\x=4.1382\\\\x=4.1[/tex]

so there have been downloaded 4.1 megabytes