Identify the terms. (include 20)
3x+5=20

Answer:

9 bags of trail mix

Step-by-step explanation:

I would take the fraction 3/4 and make it have a common denominator with 1/12. In order to do that, multiply each number in 3/4 by 3. It results in 9/12.

You can put 9 of 1/12 in 9/12

To find out the number of bags Maya can fill with 3/4 pound of trail mix, divide 3/4 by 1/12. The division equates to multiplication by the reciprocal, so (3/4) x (12/1) = 9. Therefore, Maya can fill 9 bags of trail mix.

This problem can be solved by division. Maya has 3/4 pound of trail mix and each small bag holds 1/12 pound of trail mix. Therefore, divide 3/4 by 1/12 to find out exactly how many bags Maya can fill.

To perform this division, you could first convert the fractions to decimals or do it directly. But let's stick with fractions and apply the principle of multiplying by the reciprocal. Change the division to multiplication and multiply 3/4 by the reciprocal of 1/12.

(3/4) x (12/1) = 9

So, Maya can fill 9 bags of trail mix.

https://brainly.com/question/17205173

#SPJ3

35kg - a mass of sugar syrup

30% of 35kg it's a mass of sugar

30% = 30 : 100 = 0.3

30% of 35kg = 0.3 · 35kg = 10.5kg - a mass of sugar

Add xkg water. Then we have (35 + x)kg of sugar syrup and still 10.5kg of sugar.

10.5kg is 25% of (35 + x)kg .

(35 + x) -- 100%

10.5  -- 25%     multiply both sides by 4

42   -- 100%

Therefore we have the equation:

35 + x = 42      subtract 35 from both sides

x = 7

Answer:

speed = 7.5 miles per hour

Step-by-step explanation:

To find the speed, we divide the distance by the time

speed = distance/time

speed = 15miles/2 hours

speed = 15/2 miles per hour

speed = 7.5 miles per hour

Answer:

circle E & circle F

Step-by-step explanation:

We want to see which circles are congruent to circle A, a circle of radius of 6 units.

The correct options are E and F.

Let's see how to solve this:

First, we need to understand what congruent figures are.

We say that two figures are congruent if they have the exact same shape and size.

Then we need to see which other circles also have a radius (distance from the center to the line) is also of 6 units. (or a diameter of 12 units)

The image of the options can be seen at the end of the answer, there, we can see that circle E has a radius of 6 units, so we know that circle E is congruent to circle A.

We also can see that circle F has a diameter (twice the radius) of 12 units, then the radius is:

R = D/2 = 12/2 = 6 units.

Then circle F is also congruent to circle A.

Then the correct options are E and F.

If you want to learn more, you can read:

https://brainly.com/question/12132062

Answer:

8^5

Step-by-step explanation:

When we divide exponents with the same base, we subtract the exponents

8^10 ÷ 8^5

8^ (10-5)

8^5

Answer:

8^5      Disclaimer this is not the complete simplification. (see below)

Step-by-step explanation:

Simplify the following:

8^10/8^5

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 8^10/8^5.

Combine powers. 8^10/8^5 = 8^(10 - 5):

8^(10 - 5)

Hint: | Subtract 5 from 10.

10 - 5 = 5:

8^5

Hint: | Compute 8^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

8^5 = 8×8^4 = 8 (8^2)^2:

8 (8^2)^2

Hint: | Evaluate 8^2.

8^2 = 64:

8×64^2

Hint: | Evaluate 64^2.

| | 6 | 4

× | | 6 | 4

| 2 | 5 | 6

3 | 8 | 4 | 0

4 | 0 | 9 | 6:

8×4096

Answer: a) (x, y) → (x + 1, y + 3)

              b) (2, -5) → (3, -2)

Step-by-step explanation:

the x-axis goes left and right, so 1 step to the right means you need to add 1 unit to the x-coordinate.

the y-axis goes up and down, so 3 steps up means you need to add 3 units to the y-coordinate.

Rule:

If original x-coordinate is x, then the new coordinate is x + 1 (x → x+1)

If original y-coordinate is y, then the new coordinate is y + 3 (y → y+3)

Final position:

If original x-coordinate is 2, then the new coordinate is 2 + 1 (2 → 3)

If original y-coordinate is -5, then the new coordinate is -5 + 3 (-5 → -2)

Answer:

Step-by-step explanation: to covert improper fractions to normal fractions.

29/6 would be 4 wholes and 5/6

You count how much 6’s are in the 29 which is 4. And then the left over would be 5 so 5/6

Answer:

I would say 49 is your answer

Step-by-step explanation:

53 plus 78 qould equal 131

subtract 131 from 180 and you get 49

add up all your numbers including x then they should all equal 180

Answer:

sqrt2/2 ( cos b - sin b)

Step-by-step explanation:

I know thats the answer but I have no idea how you solve to get it. Im looking for help too.

5x - 7y =58

y =-x +2

Using the substitution method, replace y in the first equation with the second equation:

5x - 7(-x+2) = 58

Simplify by using the distribution property:

5x - (-7x) - 14 = 58

Simplify by combining like terms:

12x -14 = 58

Add 14 from each side of the equation:

12x = 72

Divide both sides by 12:

X = 72/12

x = 6

Now you have x, replace x in the second equation and solve for y:

y = -x +2

y = -6 +2

y = -4

X = 6, y = -4

Answer:

Step-by-step explanation: sec^2A-tan^2A+1

=1+1

=2

Answer:

Hello :

secA= 1/cosA

tanA = sinA / cosA

- tan²A + 1 + sec²A  = - (sinA / cosA)² + 1 + ( 1/cosA)²

                                 = - sin²A / cos²A  + 1 + 1 /cos²A

                                 = ( - sin²A  + cos²A +1)/cos²A

                                = ( 1 - sin²A + cos²A ) / cos²A

but : 1 - sin²A = cos²A   because : sin²A + cos²A = 1

so : - tan²A + 1 + sec²A  = ( 2 cos²A) / (cos²A)

- tan²A + 1 + sec²A  = 2

Answer:

60%

Step-by-step explanation:

first do 28+32.

Next it equals 60. So change 60 to percentage form. It would be 60%

Answer:

600

Step-by-step explanation:

Well, the closest number for 17 is 20, and for 27 is 30.

When we multiply those two numbers :

20*30=600

We got 600

To estimate 17 x 27 using compatible numbers, round 17 to 20 and 27 to 25, then multiply to get an estimated product of 500.

Using compatible numbers to estimate the product of 17 x 27 involves finding numbers close to 17 and 27 that are easier to multiply mentally, such as multiples of 10.

A good choice here would be to round 17 up to 20 and 27 down to 25 for the approximation.

By doing so, we simplify the multiplication to 20 x 25.

The estimated product using compatible numbers would be:

20 x 25 = 500

So, an estimated answer to 17 x 27 using compatible numbers would be 500.

This method provides a quick and easy way to estimate the result, which is particularly useful when exact calculations are not necessary, or you need a fast approximation.

Answer:

D

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=5, b=4 and c=-1.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-4+/-\sqrt{(4)^2-4(5)(-1)} }{2(5)}\\x=\frac{-4+/-\sqrt{16+20} }{10}[/tex]

We will now simplify and solve.

[tex]x=\frac{-4+/-\sqrt{36}}{10}\\x=\frac{-4+/-6}{10}[/tex]

x=-1 and x=0.2

Answer:

3750 ft

Step-by-step explanation:

Denote Stops as points A(-2,1), B(-2,-7), C(5,-7) and D(5,1) and find all distances between two consecutive points:

The total distance Paolo walked is

[tex]8+7+8+7=30\ units.[/tex]

Since 1 unit on the coordinate grid equals 125 feet, then the total distance Paolo walked is

[tex]30\cdot 125=3750\ ft.[/tex]

The given angle is measured clockwise with respect to {+x} axis. So, it has negative measure.

An angle is formed when two rays have the same end point. The common end point is called vertex.

Given is to identify the positive angle.

Any angle measured clockwise with respect to + x axis is negative. Similarly, any angle measured anti - clockwise with respect to + x axis is negative.

Since only one angle is shown in the image, we will describe about it. It can be seen that the angle is measured clockwise with respect to + x axis. Hence, it is negative.

Therefore, the given angle is measured clockwise with respect to {+x} axis. So, it has negative measure.

To solve more questions on angles, visit the link below-

https://brainly.com/question/18166236

#SPJ7

1. The range of the Domain: x I x ≤ -2

2. The range of the Domain: (-5, ∞)

3. The range of the Domain: (-2, 3)

Leftmost Graph:

Domain: x I x ≤ -2

Range: All real numbers (-∞, ∞)

Visual: A solid line extending infinitely to the left from a closed circle at -2, indicating all values less than or equal to -2.

Interpretation: Includes -2 and all numbers to its left (negative infinity).

Middle Graph:

Domain: (-5, ∞)

Range: All real numbers (-∞, ∞)

Visual: A solid line starting with an open circle at -5 and extending infinitely to the right, indicating all values greater than -5.

Interpretation: Includes all numbers greater than -5, but not -5 itself.

Rightmost Graph:

Domain: (-2, 3)

Range: All real numbers (-∞, ∞)

Visual: A solid line between open circles at -2 and 3, indicating values between those points but not including those endpoints.

Interpretation: Includes all numbers strictly between -2 and 3, but not -2 or 3 themselves.

Answer: attachment

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

It is 50,000

Step-by-step explanation:

Answer:

D b = sqrt(c^2 -a^2)

Step-by-step explanation:

We are using the Pythagorean theorem,

a^2+b^2=c^2

We want to solve for b

Subtract a^2 from each side

a^2 -a^2+b^2=c^2-a^2

b^2 = c^2 -a^2

Take the square root of each side

sqrt(b^2) = sqrt(c^2 -a^2)

b = sqrt(c^2 -a^2)

Answer:

answer A : b=√(c-a)

Step-by-step explanation:

a²+b²=c²

subtract a² from both sides to isolate b²

b²=c²-a²

take the square root of both sides to get from what b² equals to what b equals

b=√(c-a)

Answer:

Step-by-step explanation:

The first dote should go on the 0 and the second dote should go on the two

Answer:

B. 2

Step-by-step explanation:

The multiplicity of a root is the number of times it occurs as a root.

We must solve the equation to find the number of times 3 occurs as a root.

Since we know that 3 is a root, we can use synthetic division to find the other roots.

f(x) = 2x³ -11x² + 12x + 9

3|2   -11     12     9

 |       6    -15    -9

  2   -5      -3      0

So, (2x³ - 11x² + 12x +9)/(x - 3) = 2x² - 5x – 3

=====

Let’s use synthetic division again to see if 3 is a root of this quadratic

3|2    -5    -3

 |       6      3

 2      1      0

So, 2x² - 5x – 3 = (x - 3)(2x + 1), and

2x³ - 11x² + 12x +9 = (x - 3)(x - 3)²(2x+1)

The factor x – 3 appears twice, so the root 3 has a multiplicity of two.

Answer:

C. Cost of peanuts purchased

Step-by-step explanation:

The range is the values that the y variable, or the output can take.

The output is the cost of the peanuts

Answer:

The $3485.52 money did Meg have at the end of the account term.

Step-by-step explanation:

Formula for compounded monthly

[tex]Amount = P(1+\frac{r}{365})^{365n}[/tex]

Where P is the principle , r is the rate of interest in the decimal form and n is the number of years.

As given

Meg deposited a $3,000 bonus check in a new savings account. The account has an interest rate of 3% for 5 years.

Principle = $3000

3% is written in the decimal form

[tex]= \frac{3}{100}[/tex]

= 0.03

Time = 5 years

Put in the formula

[tex]Amount = 3000(1+\frac{0.03}{365})^{365\times 5}[/tex]

[tex]Amount = 3000(1+\frac{0.03}{365})^{1825}[/tex]

[tex]Amount = 3000(1+\frac{0.03}{365})^{1825}[/tex]

[tex]Amount = 3000(1+ 0.0000822)^{1825}[/tex]

[tex]Amount = 3000(1.0000822)^{1825}[/tex]

[tex]Amount = 3000\times 1.16184[/tex]

Amount = $ 3485.52

Therefore the  $ 3485.52  money did Meg have at the end of the account term.

Answer:

The Answer is $3,485 btw

Step-by-step explanation:

Answer C

Answer:

The first pair of events are independent, the second pair of events are independent and the third pair of events are dependent.  

Step-by-step explanation:

Independent events are events that do NOT rely on previous events.  So, the chances of each of event happening in a pair of events is independent, or has no effect, on the chances of the other event.  In the case of rolling a number cube and then rolling it again, your chances would be the same each time you roll the number cube as to what number you would get.  Just because you rolled a '1' on the first roll, doesn't mean you can't get the same number (or another number) on another roll.  The same reasoning applies to the coin flip and the spinner.  These two events are not related and in no way would rely on each other.  A coin flip will not affect the chances of spinning an odd number.  However, if we have several coins in a bag and select a quarter, but do not replace it, our chances of selecting another coin changes because there are not only less coins in the bag, but there are less quarters to choose from.  In the case of events with NO replacement, these events are dependent.  

To determine the remaining fraction of juice in the bottle, subtract the poured amount from the original 20 ounces. The fraction left in the bottle is 3/5 of the original 20 ounces.

To find the fraction of juice left in the bottle:

Start with 20 ounces.

Pour out 1/4 for a friend, which is 5 ounces (1/4 of 20).

Pour out 3 more ounces for yourself.

Subtract the total poured out (5 + 3 = 8) from the starting amount (20) to find what's left.

So, 20 - 8 = 12 ounces left in the bottle, which represents 3/5 of the original 20 ounces.

Total of 90 fish:

c + p = 90

Charlie gave 1/4 c to Peter.  Now

Charlie has c - (1/4) c

Peter has p + (1/4) c

Peter gave 2/5 of his to Charlie. Now

Peter has p + (1/4) c - 2/5( p + (1/4) c )

Charlie has c - (1/4) c + 2/5( p + (1/4) c )

And then they had equal number:

c - (1/4) c + 2/5( p + (1/4) c ) = p + (1/4) c - 2/5( p + (1/4) c )

Let's do the easy subtractions then multiply by 20 to clear the fractions,

(3/4) c + 2/5( p + (1/4) c ) = 3/5( p + (1/4) c )

15c + 8p + 2c = 12p + 3c

14c = 4p

7c = 2p

c + p = 90

2c + 2p = 180

2c + 7c = 180

9c = 180

c = 20

p = 70

Answer: Charlie started with 20, Peter with 70

Check:

Initially C:20, P:70

1/4(20)=5 to P

C:15, P:75

(2/5) 75 = 30 to C

C:45, P45

Good

A negative number is always less than a positive number.

When comparing two negative numbers, the smaller negative number is the greater value.

The answer would be 5. -5 > -18

Answer:

5. -5 > -18

Step-by-step explanation:

Positive numbers are greater than negative ones.  Also think of  the numbers on a mercury thermometer :-  -5 his greater ( and warmer!)  than -18.

Answer:

$1453.2

Step-by-step explanation:

I assume you mean the accumulated value on a principal of $1400 with 3.8% interest in 1 year.

1400 * (100%+3.8%) = 1400 * 1.038 = 1453.2