Mr . Berg bought 5 number puzzles and 3 word puzzles for his students . The puzzles were $7 each . Mr . Berg used a $60 gift card to pay for the puzzles . How much change did he get?

Answer:

how much would you have paid for 2000 units in August 2019

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[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]

[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]

[tex]3x=42\left(x+21\right)[/tex]

[tex]3x=42x+882[/tex]

[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]

[tex]3x-42x=42x+882-42x[/tex]

[tex]-39x=882[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]

[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]

[tex]x=-\frac{294}{13}[/tex]

❅❅❅❅❅❅❅❅❅❅

Answer:

A≈249.02cm

Step-by-step explanation:

Answer:

7.18

Step-by-step explanation

4* COS(23) = 3.682

3.5+3.682 = 7.182

A and C are the right equation

Answer:

1/2 x 2/3 = 0 . 3

1 1/2 x3/4 = 1. 125

4/4 x 7/6 = 1 . 27  

3 divided by 1/2 = 6

2/3 divided by 1/2 = 1. 3

Step-by-step explanation:

1/2 x 2/3

= 0.33333333333

= 0 .3

1 1/2 x3/4

= 1.125

4/4 x 7/6

= 1.16666666667

= 1.27

3 divided by 1/2

= 6

2/3 divided by 1 / 2

= 1.33333333333

= 1. 3

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

1. 5/6

2. 5/8

3. 29/44

4. 3/8

5. 2/15

6. 0.3

7. 1.125

8. 1.27

9. 6

10. 1.3

11. 345,000

12. 128,000

13. 42

14. 40

15. $365.47 and $365

16. $125.66 and $126.

Step-by-step explanation:

33517

Method 1

Given:

374F in base 16

To convert to octal;

(i) convert each digit in the number to binary

3 = 0011

7 = 0111

4 = 0100

F = 1111

(ii) join the bits together starting from the first i.e

374F = 0011 0111 0100 1111

(iii) starting from the right to left, group the bits together, each group having 3 bits

374F = 0 011 011 101 001 111

(iv) the group with number of bits less than 3 should be padded with zero.

374F = 000 011 011 101 001 111

(v) convert each of the groups in (iv) above to decimal as follows:

000 = 0

011 = 3

011 = 3

101 = 5

001 = 1

111 = 7

(vi) combine the result above to get;

033517

The first zero can be removed

33517

Therefore, the number in octal is 33517₈

Method 2

Given:

374F in base 16

To convert to octal;

i) convert the number to decimal as follows;

a. Multiply each digit by 16 raised to the power of one less than their position starting from the leftmost digit.

=> 3 is at position 4, so we have

3 x 16⁴ ⁻ ¹ = 3 x 16³

=> 7 is at position 3, so we have

7 x 16³ ⁻ ¹ = 7 x 16²

=> 4 is at position 2, so we have

4 x 16² ⁻ ¹ = 4 x 16¹

=> F is at position 1, so we have

F x 16¹ ⁻ ¹ = F x 16⁰

b. Add each of the terms found in (a) together.

(3 x 16³) + (7 x 16²) + (4 x 16¹) + (F x 16⁰)

c. Remember that F = 15 in decimal. Therefore, substitute F = 15 into the result in (b)

(3 x 16³) + (7 x 16²) + (4 x 16¹) + (15 x 16⁰)

d. Solve the result in (c)

(3 x 4096) + (7 x 256) + (4 x 16) + (15 x 1)

12288 + 1792 +64 + 15

14159

Therefore,

374F in decimal is 14159

(b) Now convert the decimal to octal by dividing by 8 and noting the remainder.

8 | 14159

8 | 1769 r 7

8 | 221 r 1

8 | 27 r 5

8 | 3 r 3

  | 0 r 3

Taking the remainders from bottom up gives

33517₈

Therefore, the number in octal is 33517₈

Answer:

15 = t

Step-by-step explanation:

3 = t - 12

3 + 12 = t

15 = t

Answer:

C:15 if were going off t

Step-by-step explanation:

if you switch around the equation a bit you get t-12=3 now what number minus 12 equals three thats what your trying to find so the only logical answer is C because 15-12=3 so t=15

Answer:

[tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = x

Step 2: Solve for x

Answer:

4'999 + 664 = 5663

Step-by-step explanation:

all chickens laid one egg so that is 4'999 then the next day 664 of them laid one egg that is how I know what it is.

your  welcome for the help.

Answer:

Subject

Step-by-step explanation:

Have a good day :)

Answer:

See Explanation

Step-by-step explanation:

Given

Lines GF, CD and AB

Required

Relationship between GF and CD

The question is incomplete, as there is no attachment to support the given parameters.

The general solution goes thus:

(a) CD and GF perpendicular to AB

If two lines are perpendicular to another line; then the two lines are parallel to each other.

This means that CD and GF are parallel, and they have the same slope

(b) CD is not perpendicular to AB

Here, we know that GF is perpendicular to AB, CD is not;

This means that GF and AB are not parallel.

More information is needed to determine the actual relationship between GF and AB; but for sure, they are not parallel.

The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.

The interquartile range(IQR) = third quartile(Q3) - first quartile(Q1)

The third quartile of in the box plot given is : 56 pounds

The third quartile of the data as represented in the box plot given :

39 pounds

The interquartile range(IQR) of ken's data = 56 - 39

= 17 pounds

Hence, The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.

Find more information about the interquartile range here

https://brainly.com/question/4102829

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Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = [tex]\frac{6}{3}[/tex] = 2

Answer:

Green(before) : [tex]\frac{2}{12}[/tex]

Red(before) : [tex]\frac{2}{12}[/tex]

Purple(before) : [tex]\frac{3}{12}[/tex]

Gold(before) : [tex]\frac{5}{12}[/tex]

That is before. Now there are only 11 marbles, so that is the new total. Depends on which color you got to tell the new probability.

Answer:

135°

Step-by-step explanation:

The arc length is calculated as

EF = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{?}{360}[/tex]

Given EF = 12π , then

2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )

16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )

16 ? = 2160 ( divide both sides by 16 )

? = 135°

Answer:

18[tex]\sqrt{3}[/tex] inches

Step-by-step explanation:

Applying,

Pythagoras theorem,

a²= b²+c²

Where a = hypotenus, b = base of the triangle, c = height.

make c the subject of the equation

c = √(a²-b²)................. Equation 2

From the diagram attached,

Given: a = 36 in, b = (36/2) in = 18 in

Substitute these values into equation 2

c = √(36²-18²)

c = √(1296-324)

c = √(972)

c = √(972)

c = √(324×3)

c = 18[tex]\sqrt{3}[/tex] inches

Answer:

y=2(x + 2))^2 - 9

Step-by-step explanation:

So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.

With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9

Answer:

30625

Step-by-step explanation:

Answer:

175²

Step-by-step explanation:

7 × 7 × 5 × 5 × 5 × 5

= (7 × 7) × (5 × 5 × 5 × 5)

= 7² × 5⁴

= 49 × 625

= 30.625

[tex] \sf = \sqrt{30.625} [/tex]

[tex] \sf = \sqrt{175 \times 175} [/tex]

[tex] \sf = 175[/tex]

[tex] \sf = {175}^{2} [/tex]

Conclusion:

Exponential Form of 7 × 7 × 5 × 5 × 5 × 5 adalah 175².

Answer:

b. 395.59 m²

Step-by-step explanation:

It's honestly a lot to explain however I can explain if you want me too. Just let me know!

We can write the area of the given figure as 431.59 square meters.

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is a figure as shown in the image.

It is asked to find the total area of the given figure.

We can write the area of the figure as -

Area = Area{triangle 1} + Area{rectangle} + A{triangle 2} + A{semi circle 1} + A{semi circle 2}

Area = {1/2 x 12 x 15} + {12 x 15 - √(18² - 12²)} + {1/2 x 12 x √(18² - 12²)} + {π(18² - 12²)/2} + {π(15² + 12²)/2}

Area = 431.59 square meters

So, it can be concluded that the area of the given figure as 431.59 square meters.

Therefore, we can write the area of the given figure as 431.59 square meters.

To solve more questions on areas, visit the link-

https://brainly.com/question/29213222

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Answer:

Rs 4640

Step-by-step explanation:

8/100 x 4000 = 320

320 x 2 = 640

4000+ 640 = Rs4640

Feel free to mark it as branliest

Answer: Por ejemplo, un televisor podría costarle originalmente $ 5000. Determine el porcentaje de descuento: en nuestra tienda de ejemplo, todo tiene un 75% de descuento. La suma que queda en su bolsillo, sus ahorros, es simplemente estos dos valores multiplicados entre sí: 75% * $ 5000 = 0,75 * $ 5000 = $ 3750.

Answer:

C)  x = 3

Step-by-step explanation:

factor out a 2 to get:

2(x² - 6x + 9) = 0

(x-3)² = 0

x = 3

Answer and Step-by-step explanation:

First, to find the zeros of the function, we can take out a common factor from the equation, and then factor.

The equation has a common factor of 2 (so distribute of the 2 from all of the numbers).

2([tex]x^2 - 6x + 9[/tex])

Now, we factor. Find two numbers that multiplies to [tex]9x^2[/tex] and adds up to -6x.

-3x and -3x.

Now, we substitute these two for -6x.

[tex]2(x^2 - 3x-3x+9)[/tex]

Factor.

[tex]2(x - 3)(x-3)[/tex]

Finally, we set all of the values to 0 and solve for x.

2 ≠ 0

x - 3 = 0    x = 3

x - 3 = 0    x = 3

That means the answer is C. x = 3

(Not shown, but the multiplicity of this x value is 2, because there are two

x = 3)

#teamtrees #PAW (Plant And Water)

Answer:

22 times 4 1/2 divided by 2

Answer:

either 2 or 1/2, depending on what the original shape was

Step-by-step explanation:

going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.

going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.

Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

Answer:

The answer is below

Step-by-step explanation:

A geometric sequence is a sequence such that each term after the first is found by multiplying the previous one by a fixed number (common ratio). It is given by:

[tex]a_n=ar^{n-1}\\\\n=1,2,3,\ .\ .\ .[/tex]

where a is the first term, r is the common ratio.

From the question, the first term is 14 (at n = 1). a₁ = 14

After 30 minutes (n = 2), the population is 28. a₂ = 28

After 1 hour (n = 3), the population is 56. a₃ = 56

Common ratio (r) = a₃/a₂ = a₂/a₁ = 56 / 28 = 28/14 = 2

a) This sequence is represented as:

[tex]a_n=14(2)^{n-1}[/tex]

b) After 4 hours, that is n = 9:

[tex]a_9=14(2)^{9-1}=14(2)^8=3584[/tex]