12 is 3 more than 7
True or False?

Answer:

angle 1 = 34 degrees

Step-by-step explanation:

Angle 2 and angle 6 are corresponding, therefore they are congruent and have a measure of 146 degrees.

angle 1 and angle 2 form supplementary angles so:

angle 1 = 180-angle 2

angle 1 = 180 - 146

angle 1 = 34 degrees

It is

log 39=2

Explanation:

By definition the logarithmic form

log bx=y is equivalent to the exponential form

by=x

Hence from the given 32=9 you have b=3 , y=2 , x=9

hence the logarithmic form is

log 3 9=2

Answer:

$3

Step-by-step explanation:

the cost of 5 DVDs and a $15

you didn't ask anything

Answer:

$3 because 15÷3= 5 so it is 3

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

We have,

To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.

The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.

This means that for every kiloliter, there are 33814.0227 fluid ounces.

To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).

= 6 kL x 33814.0227 fl oz/kL

= 202884.1362 fl oz

Therefore,

6 kiloliters are approximately equal to 202,884.14 fluid ounces.

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Answer: -2

Step-by-step explanation:

The slope of the line perpendicular to another slope is the opposite sign and flipped(reciprocal)

The slope of the line = 1/2

So the perpendicular slope = -2

Answer:

Step-by-step explanation:

1. We can do this both logically and with equations!

Equations:

1. Write out the equation!

3*x=45

2. Isolate the variable on the left side.

x=45/3

3. Answer: 15$

Always DOUBLE CHECK:

3*15=45

TRUE

Logically:

If Jack has 45$ which is 3 times Tamara's we can reverse the statement:

45/3=

15

Answer: 15$

Answer: 15

Step-by-step explanation:

Jack raised 3 times the amount of money Tamara raised. Meaning however much Tamara raised, Jack raised 3 times that amount.

So, all you have to do is do 45 divided by 3. Which is 15.

And to check to see if you are correct, do 15 times 3. And you get 45!

When it is asking you to solve a system of equations, it means that it wants you to find the value of the variables, in this case, x and y.

3x + 2y = 1  -- equation 1

y = x - 12 -- equation 2

Put (equation 2)'s value of y into (equation 1)

3x + 2(x-12) = 1

3x + 2x - 24 = 1

5x - 24 = 1

5x = 25

x = 5 -- equation 3

Put (equation 3)'s values of x into (equation 2)

y = 5 - 12 = -7

Thus the solutions are x = 5 and y = -7 and we have solved the system of equations.

Hope that helped!

Answer:

The answer is −2x − 8 < −44 and −2x − 8 ≥ −48. OR answer choice D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given compound inequality:

Just split the inequality into two simpler inequalities:

Correct choice is D

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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Answer:

b jdjjsgd

Step-by-step explanation:

edge 2020hianhisis

Given:

The equation is

\(P=-3-4L-6\)

To find:

The formula for L.

Solution:

We have,

\(P=-3-4L-6\)

It can be written as

\(P=(-3-6)-4L\)

\(P=-9-4L\)

We need to isolate variable L.

Adding 6 on both sides, we get

\(P+6=-4L\)

Dividing both sides by -4, we get

\(\dfrac{P+6}{-4}=L\)

\(\dfrac{P}{-4}+\dfrac{6}{-4}=L\)

\(-\dfrac{P}{4}-1.5=L\)

Therefore, the required value of L in terms of P is \(L=-\dfrac{P}{4}-1.5\).

Answer:

B and A

Step-by-step explanation:

So based on the facts given, we know that b and a both have the same abasolute value. It does not matter whether a or b is negative or positive.

Answer:

That would be 19! / 10!, which is 33522128640

If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.

It is basically an arrangement of objects in a certain order.It is expressed as n\(P_{r}\) and it is equal to n!/(n-r)!.

We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19\(P_{9}\)=19!/(19-9)!

=19!/10!

=19*18*17*16*15*14*13*12*11*10!/10!

=19*18*17*16*15*14*13*12*11

=335322128640 CD's

Hence 335322128640 CD's can be made from 19 songs by the user.

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Given:

f(x) = 2x - 5

g(x) = 4x + 3

(f + g)(x) can be found as,

Therefore, (f + g)(x)=6x-2.

Answer:

12.3 Gallons

Step-by-step explanation:

Options of the question:-

Option A. 12.33 gallons

Option B. 10 gallons

Option C. 12 gallons

Option D. 12.3 gallons

Option D is the answer :-

As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3

Answer:

Step-by-step explanation:

Bonjour,

2^4 * 7^3 => 16* 343 = 5488

21 952 / 5 488 =4

115 248/5 488 =  21

9514 1404 393

Answer:

  2⁴·7³

Step-by-step explanation:

The set of primes that are factors of 21952 is {2, 7}.

The set of primes that are factors of 115248 is {2, 3, 7}.

Common factors are primes that are in the intersection of these sets: {2, 7}. The index associated with the greatest common factor is the smallest index of each of these primes in the prime factorization of those numbers.

The prime 2 is seen to have indices of 6 and 4. 4 is the smallest.

The prime 7 is seen to have indices of 3 and 4. 3 is the smallest.

So, the Highest Common Factor of the two numbers is 2⁴·7³.

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 7x from both sides.

8x−8−7x=7x−7x

x−8=0

Step 2: Add 8 to both sides.

x−8+8=0+8

x=8

HGD

-ghost

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

Answer:

G just to make a design for the cost

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Answer:

5/36 ; 1/12 ; 2/9 ; yes

Step-by-step explanation:

Given the following :

Roll of two fair dice : green and red

Probability = (number of required outcomes / number of total possible outcomes)

(a) What is the probability of getting a sum of 6?

Number of required outcomes = 5

P(sum of 6) = 5/36

b.) What is the probability of getting a sum of 10?

Number of required outcomes = 3

P(sum of 10) = 3 / 36 = 1/12

c.) What is the probability of getting a sum of 6 or 10?

P(getting a sum of 6) + P(getting a sum of 10)

(5/36) + (1/12) = (5 + 3) / 36

= 8/36 = 2/9

The events are mutually exclusive because each event cannot occur at the same time.

Answer:

Step-by-step explanation:

3:7 = ___: 49

3 : 7 = x : 49

x = 3 × 49 ÷ 7

x = 147 ÷ 7

x = 21

3 : 7 = 21 : 49  (your answer)

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

  x = 9 inches

Step-by-step explanation:

You want the value of x in the similar triangles shown.

Corresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.

  6/4 = (6+x)/10

  15 = 6 +x . . . . . . . . multiply by 10

  9 = x . . . . . . . . . subtract 6

The measure of x is 9 inches.

__

Additional comment

You could also write the proportion ...

  6/4 = x/(10 -4)

  x = 36/4 = 9 . . . . . . . multiply by 6

You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.

<95141404393>

Answer:

$160

Step-by-step explanation:

P = 15h + c

takes 8 hours and $40 in materials

P = 15(8) + 40

P = 120 + 40

P = 160

Answer:

160

Step-by-step explanation:

PEMDAS 15(8) + 40 = 160

1) The standard form is a way to express a linear function as ax +by=c where a and b are the coefficients and c the number, or constant.

2) In our case, we have the equation given into the slope-intercept formula, so let's manipulate it algebraically

y=-3/2x +1 Subtract 1 from both sides

y-1=-3/2x +1 -1

-1+y =-3/2x Multiply by 2 on both sides

-2 +2y =-3x Add 3x, to both sides.

2 +2y+3x =-3x +3x Subtract 2 from both sides

3x +2y+2-2=-2

b) y = -5/3x -3

y = -5/3x -3 Add 3 to both sides

y+3 = 5/3x -3+3

y+3 = 5/3x Multiply both sides by 3

3(y+3) = 5x

3y+9 = 5x Subtract 9 from both sides

3y +9 -9= 5x -9

3y =5x -9 Subtract 5x from both sides

3y -5x = 5x -5x -9

3y -5x = -9

3x +2y = -2

If a 4-yard dumpster cost $95.00 monthly, the total cost for the year is $1,140.

The total cost for the year of the dumpster is the product of the multiplication of the monthly cost and 12.

Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.

In any multiplication, there must be the multiplicand (the number being multiplied), the multiplier (the number multiplying the multiplicand), and the product (or the result).

The monthly cost of the 4-yard dumpster = $95.00

1 year = 12 months

The total annual cost = $1,140 ($95 x 12)

Thus, using the multiplication operation, we can find that none of the options is correct as the total annual cost but $1,140.

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