The difference between the tens digit and ones digit of a two-digit number is 4. The number is 45 greater than the number created when the digits are reversed. What is the two-digit number?

Answer:

7.4

Step-by-step explanation:

use the compound interest formula

I=P(1+r/100)<n

2786=2000(1+4.6/100)^n

divide 2000 by both side

1.393=(1+4.6/100)^n

1.393=1.046^n

introduce the log

log1.393=rlog1.046

divide both with log1.046 to get the value of n

n=7.4

Answer:

A.

Step-by-step explanation:

The entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

What is a system of equations ?

A system of equations is a set or collection of equations that you deal with all together at once.

It is given that :

The total entrance fee for a group of 4 adults and 3 children = $220

and

The total entrance fee for a group of 2 adults and 1 child = $98

Let's assume that the entrance fee for an adult is x and entrance fee for a child is y.

So , the equations can be written as :

4x + 3y = $ 220  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 1

2x + y = $ 98  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 2

Now , multiply equation 2 by 2 :

4x + 2y = $ 196  --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 3

Subtracting equation 3 from equation 1 , we get :

(4x - 4x) + (3y - 2y) = $220 - $ 196

y = $24

or entrance fee of a child is $24.

Now , substituting the value of y in equation 1 , we get :

4x + 72 = $220

4x = 148

x = $37

or entrance fee of an adult is $37.

Therefore , the entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.

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Answer:

I think it might be which ever one produces more enzymes

Step-by-step explanation:

just like anaerobic respiration and aerobic respiration

Answer:

roberta starts with 50 dollars in her wallet

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

If you divide 3/4 by 3, you get 1/4 (0.75 / 3 = 0.25)

Answer: 50 pages (not sure) but I hope that still made sense though

Step-by-step explanation:

30% of 15 equals 50

15/30%=50

Answer:

[tex]6\leq x+15[/tex]

Step-by-step explanation:

hope this helped

Answer:

n = 1

Step-by-step explanation:

n - 6 = 5(n-2)

n - 6 = 5n - 10

-6 +10 = 5n - n

4 = 4n

n = 4/4

Step-by-step explanation:

Well the addition of ($0.01+$0.02+$0.04) would be $0.07

And he since he can get $1.25 a week if he chose the weekly option

Since $1.25>$0.07

I would tell Ronald to choose the weekly option for getting more allowance.

To determine the value of m in the equation, apply the slope formula, m [tex]= \frac{y_2 - y_1}{x_2 - x_1}[/tex].

The slope of a line (m) = change in y / change in x = (y2 - y1)/(x2 - x1).

In the slope-intercept form of an equation that represents a line, the slope is represented as "m" in y = mx + b.

The equation we can use to determine the slope (m) if we are given two points on a line is, m = (y2 - y1)/(x2 - x1).

For example, if two points, (-4,2) and (8,5) are points on the line, we can find the value of the slope (m) as:

m = (2 - 5)/(-4 - 8) = -3/-12

Slope (m) = 1/4

The value of m to use in the equation of the line would be 1/4.

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Answer:

200×100÷2=10000

Step-by-step explanation:

i think that is right

Answer:

angle NOR and SRO

Step-by-step explanation:

The correct answer is option B) The graph of y = 1/2sin(x - π/2) is shifted units π /2 right from the graph of y = 1/2 sin x.

How do you describe a graph?

For most graphs, give a brief description including the title and axis labels, and mention trends not already described in the text. For simple charts, state the actual data points. For more complex charts, an ideal description would include the data in a table or list.

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Answer:

Maddie got 810 votes

Step-by-step explanation:

We'll call Maddie's votes x, and her opponent's votes y.

x + y = 1485

x = y + 0.20y (because she got the same number of votes as her opponent, PLUS another 20% of that number. Divide 20% by 100 to get the decimal equivalent) This can also be written as x = 1.2y

So our system is

x + y = 1485   and

x = 1.2y

Substitute the second equation's value for x into the first equation:

1.2y + y = 1485 then solve for y

2.2y = 1485

divide both sides by 2.2

y = 675

substitute that in and solve for x

x + y =1485

x + 675 = 1485

subtract 675 from both sides

x = 810

Please let me know if you have questions on this answer. Hope it helps.

Answer:

b

Step-by-step explanation:

I know that it is b becuase everthing esle has a higher number and when it's higher more chance of getting a full number

Answer:

5.99g in one dose.

Step-by-step explanation:

Add up all the chemicals in the mix and divide by 5 to get how many grams are in one dose of medicine. We divide by 5 cause we get 5 doses out of the entire mixture.

[tex]\frac{10.384+12.061+7.505}{5} =\frac{29.95}{5}=5.99g[/tex]

Answer:

t = 128°

Step-by-step explanation:

A triangle equals 180°. 2/3 of the angles in the triangle are given, so we would then do the following:

180 - (61 + 67) = x

180 - 128 = x

52 = x

Since a straight line also is 180°, this would mean x + t = 180.

x = 52

We would then convert the equation to the following:

180 - 52 = t

128 = t

The angle "t" is a 128° angle.

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Answer:

The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12

To find the slope of a line perpendicular to another line, we simply need to find the inverse negative of the slope of the first one. This makes sense if you visualize it on a graph or in your head.

The slope of the line given is -1/2.

To find the inverse negative we first inverse the number, then take then negatuve of that (or opposite order).

The inverse of -1/2 is, -2 (switch the numerator and denominator or do to the power of -1, ^-1).

The negative of -2 is, 2.

Therefore the slope of the line perpendicular to y = -1/2x + 5 is 2.

Answer:

y=5

AQ=11

QX=14

Q is not a midpoint

Step-by-step explanation:

A line segment can be divided into equal or unequal segments

The values of x, AQ and QX are 5, 11 and 14.

The given parameters are:

[tex]\mathbf{AX = 25}[/tex]

[tex]\mathbf{AQ = 2y + 1}[/tex]

[tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AX = 25}[/tex] can be rewritten as:

[tex]\mathbf{AQ + QX =25}[/tex]

Substitute values for AQ and QX

[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]

Execute like terms

[tex]\mathbf{5y =25}[/tex]

Divide both sides by 5

[tex]\mathbf{y =5}[/tex]

Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]

[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]

[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]

Hence, the values of x, AQ and QX are 5, 11 and 14.

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Answer:

f=40

Step-by-step explanation:

f=28, a=7

[tex]f \infty a \\ f = ka \\28 = k(7) \\ 28 = 7k \\ \frac{28}{7} = \frac{7k}{7} \\ 4 = k \\ k = 4 \\ f = 4a \\ a = 10 \\ f = 4(10) \\ f = 40[/tex]

Hope that this is helpful.

Have a nice day.

y = 6/5x - 1

hope this helps :) !!

Answer:

[tex]y = \frac{6}{5}x - 1[/tex]

Step-by-step explanation:

use the formula

[tex]y = mx + b[/tex]

m is the slope and b is the y-intercept. Begin with b, where the line crosses the y-axis (vertical axis). It crosses at -1, so this is b.

Next move with m. Do rise/run. Start at the y-intercept and you are going to rise 6 and run 5 to the next point. So the slope is 6/5. Leave as an improper fraction. Plug-in for m. Since the line goes uphill from left to right it has a positive slope.

Answer:

The slope is 5/1 or 5

Step-by-step explanation:

Hope this helps!

Answer:

15 = 9m

15/9 = 9m/9

m =15/9

=5/3

=1.666667

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = [tex]\frac{11}{6}[/tex]

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = [tex]\frac{121}{36}[/tex]

Answer:

it would be 80 meters

Step-by-step explanation:find the area and multiply width x length

Answer:

1. 279,936

2. 727

4. 4,096

Answer:

[tex]\frac{x}{5}-11=-13[/tex]

Step-by-step explanation:

11 subtracted ( - 11 ) from the quotient ( division ) of a number ( x ) and 5 is ( = ) -13

[tex]\frac{x}{5}-11=-13[/tex]

Answer:

The y-intercept is 6.9

Step-by-step explanation:

The formula is y = mx + b, where m is slope and b is y-intercept.

Hope this helped :)