Write an expression for the sum of 12 + 10n

_______________________________

Solution,

3x+6=42

or,3x=42-6

or, 3x=36

or,X=36/3

X=12

The value of X is 12.

hope it helps

Good luck on your assignment

____________________________

Answer:

this can be solved by using transposition method let me tell you how

Step-by-step explanation:

3x+6=42

+6 will transpose to the rhs

=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)

= 3x = 36

3x will transpose and will become division

= x = 36 /3

=x =12

the value of x is 12

Question :

justinapace7446

Yesterday

Mathematics

High School

+5 pts

Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs

$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as

sugar

Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put

$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money

should he invest in each deposit?

Number of Years

Rate

2.0%

5.0%

6.0%

Answer:

1-year: $2200, 2-year: $3200, 3-year: $6600

Step-by-step explanation:

Assume y = Amount invested for 1 year.

y + 1000 = investment amount for 2 years

12000 - (y + y + 1000 ) = amount invested for 3 years

11000 - 2y = amount invested for 3 years

Total interest

Multiplying each by its corresponding rate

(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600

0.02y + 0.05y + 50 + 660 - 0.12y = 600

-0.05y + 710 = 600

-0.05y = 600 - 710

-0.05y = - 110

y = 2200

Therefore first year = y = $2200

Investment for 2 years =y + 1000 = 2200 + 1000 = $3200

Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600

Answer:

C

X=6

Step-by-step explanation:

7+5x-15=22

5x-8=22

5x=22+8

5x=30

X=30/5

X=6

Answer:

78.4% probability at least one does not have a job

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

60% of the students at a large university have a job

This means that [tex]p = 0.6[/tex]

Three of these students are randomly selected

This means that [tex]n = 3[/tex]

What is the probability at least one does not have a job?

Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So

[tex]P(X < 3) + P(X = 3) = 1[/tex]

We want P(X < 3). Then

[tex]P(X < 3) = 1 - P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]

[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]

78.4% probability at least one does not have a job

Answer:

Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.

Step-by-step explanation:

Answer:

  a) 50π cm^2

  b) π/8

Step-by-step explanation:

a) The formula for the area of a semicircle is ...

  A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2

For a diameter of 20 cm, the area is ...

  A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle

__

The formula for the area of a quarter circle is ...

  A = (1/4)πr^2

For a radius of 20 cm, the area is ...

  A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle

__

The shaded area is the difference of the areas of the quarter circle and semicircle:

  shaded area = (100π cm^2) -(50π cm^2)

  shaded area = 50π cm^2

__

b) The ratio of the shaded area to the square area is ...

  shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8

Answer:

the answer is 144

Step-by-step explanation:

just add 72+72=144

Answer:

Step-by-step explanation:

Answer:

35°

Step-by-step explanation:

ABC is a equilateral triangle and that means all of its

interior angles have the same measure and = 60°

since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD

The measure of angle CAD is given as 25°

The measure of sum of interior angles in a triangle is equal to 180°

So the missing angle ADC is 35°

Answer:

C

Step-by-step explanation:

y is greater than or equal to 14.

Answer:

Option C

y _> 14

Step-by-step explanation:

here, y is greater than or equal to 14

Answer:

D

Step-by-step explanation:

Two lines are perpendicular when the product of their slopes = - 1

line 1: y = 3x + 4

(3 , 0)  ; (-3,2)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]

Slope of line 1 = 3

Slope of line 2 = -1/3

3* -1/3 = -1

Answer:

im sorry but you just need a chill pill

Step-by-step explanation:

Answer: D

Step-by-step explanation:

(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get [tex]6x^2[/tex]

Answer:

-72 + 4 = -68

Answer:

a:b:c = 15:24:100.

Step-by-step explanation:

We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.

6  25 = 8 : 33.33......

So a:b:c = 5:8:33.33...

To convert to whole numbers we multiply by 3:

a:b:c = 15:24:100.

Answer: They can make 18 ornaments

Step-by-step explanation:

you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)

Answer:

Listing method is a method to list all the elements separating each element by the comma and enclosing

Step-by-step explanation:

Answer:

Step-by-step explanation:

The work form of this upside down parabola is

[tex]y=-|a|(x-h)^2+k[/tex]

It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:

[tex]-6=-|a|(5-4)^2-3[/tex] and

[tex]-6=-|a|(1)^2-3[/tex] and

[tex]-6=-|a|1-3[/tex] and

[tex]-6=-|a|(-2)[/tex] and

3 = -|a|

Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.

Answer: The answer is -3!!!!!!!!!

Step-by-step explanation:

Answer:

I guess the answer is c.... I guess it must be c

Answer:

3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children

Step-by-step explanation:

Let x = normal ticket number

Let y = child ticket number

Let z = elderly ticket number

The total amount spent is 480, so we can create this equation:

52 * x + 20 * y + 28 * z = 480

They also tell us that each adult took two children, so:

y = 2 * (x + z)

We have two equations and three unknowns, therefore we must simplify and do trial and error. First, let's substitute "y" in terms of "x" and "z" in the first equation, then simplify:

52 * x + 20 * y + 28 * z = 480

52 * x + 20 * 2 * (x + z) + 28 * z = 480

52 * x + 40 * (x + z) + 28 * z = 480

52 * x + 40 * x + 40 * z + 28 * z = 480

92 * x + 68 * z = 480

23 * x + 17 * z = 120

Let's solve for x in terms of e:

23 * x = 120-17 * z

x = (120-17 * z) / 23

We know that (120 - 17 * z) has to be a multiple of 23 for "x" to be an integer. So let's look at testing some values ​​of "z" to make valid values ​​for "x":

120-17 (0) = 120 (not multiple of 23)

120-17 (1) = 103 (not multiple of 23)

120-17 (2) = 86 (not multiple of 23)

120-17 (3) = 69 (multiple of 23)

120-17 (4) = 52 (not multiple of 23)

120-17 (5) = 35 (not multiple of 23)

120-17 (6) = 18 (not multiple of 23)

120-17 (7) = 1 (not multiple of 23)

After that, we get negative values ​​for "x", so here there is only one possible value for "x", so we know that z = 3:

Now we can solve for "x" and "y":

x = (120-17 * 3) / 23

x = (120-51) / 23

x = 69/23

x = 3

Now for and:

y = 2 * (x + y)

y = 2 (3 + 3)

y = 12

Therefore, 3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children.

Answer: A) AC=DF

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.

Answer A is the only one that wouldn’t help you prove that these triangles are congruent.

Answer:

A

Step-by-step explanation:

Quadratic equation

Answer:

Step-by-step explanation:

Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.

1)  f(n) = 9+8n

When n = 1

f(1) = 9+8(1)

f(1) = 17

when n = 2

f(2) = 9+8(2)

= 9+16

= 25

When n = 3

f(3) = 9+8(3)

f(3) = 33

when n = 4

f(4) = 9+8(4)

= 41

= 25

The first four terms are 17, 25, 33 and 41

2) f(n) = 8(n+1)-13

When n = 1

f(1) = 8(2)-13

f(1) = 3

when n = 2

f(2) =  8(3)-13

= 24-13

= 11

When n = 3

f(3) =  8(4)-13

f(3) = 32-13

= 19

when n = 4

f(4) =  8(5)-13

= 40-13

= 27

The first four terms are 3, 11, 19 and 27

3) f(n) = 65-9n

When n = 1

f(1) = 65-9(1)

f(1) = 56

when n = 2

f(2) = 65-9(2)

= 65-18

= 47

When n = 3

f(3) = 65-9(3)

f(3) = 65-27

= 38

when n = 4

f(4) = 65-9(4)

= 65-36

= 29

The first four terms are 56, 47, 38 and 29

Answer:

Surface area of sphere = 4πr²

r = radius

and radius = diameter/2

radius = 13/2

= 6.5cm

Surface area = 4 × π × 6.5

= 26 × π

= 81.68

= 81.7cm²

Hope this helps.

Answer:

[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]

Answer:

B

Step-by-step explanation:

In an isosceles trapezoid the upper base angles are congruent, thus

∠ G = ∠ D = 121° → B

Answer:

121

Step-by-step explanation:

i took the quiz

Answer:

Option D.

Step-by-step explanation:

Statement given,

f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]

Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2

Parent function, g(x) = |x|

Absolute value function g(x) when shifted 3 units right,

g'(x) = |x - 3|

Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be

f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]

Characteristics of the graph of this function:

1). Vertex at (3, -2).

2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].

3). Graph opens upwards.

4). Range of the graph f(x) is f(x) ≥ -2.

Therefore, Option D will be the answer.

Answer:

2.5 hours

Step-by-step explanation:

To solve this question we can use the exponencial function:

P = Po * (1 + r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the time.

In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:

7 = 8 * (0.95)^t

0.95^t = 0.875

log(0.95^t) = log(0.875)

t * log(0.95) = -0.1335

t * (-0.0513) = -0.1335

t = -0.1335 / (-0.0513) = 2.6023 hours

Rounding to the nearest half-hour, we have t = 2.5 hours

Answer:

2.5

Step-by-step explanation:

I had this question and got it right

Answer:

The answer is 6

Step-by-step explanation:

p(x) = x  + 3

p(-x) = -x + 3

=> p(x) + p(-x) = x + 3 + (-x) + 3 = 6

Hope this helps!

:)

Answer: 15

Step-by-step explanation: 2 minus negative 1 is the same as 2+1. 2 plus 1 is 3 and 5 times 3 is 15. Therefore, 15 is your answer.

Answer:

15

Step-by-step explanation:

took the test on EDGE

Answer:

[tex] \boxed{x = p(m - n)} [/tex]

Step-by-step explanation:

[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]