Suion
Avocados are sold at $7.50 a dozen. How much will 15 avocados cost?

Answer:

4

Step-by-step explanation:

Significant figures are whole numbers, without any decimals, the four numbers are therefore significant.

Answer:

60,000

Step-by-step explanation:

Jane-2000

Peter-ratio of 5=25000

Marta-ratio of 7=35000

25000+35000

60000

Answer:

$6,000

Step-by-step explanation:

If [tex]y[/tex] is the amount of money a child receives, and [tex]x[/tex] is the total amount being divided among the children, then

Jane's share:  [tex]y = \frac{4}{4+5+7} * x = \frac{4}{16}x[/tex]

Peter's share:  [tex]y = \frac{5}{4+5+7} * x = \frac{5}{16}x[/tex]

Martha's share:  [tex]y = \frac{7}{4+5+7} * x = \frac{7}{16}x[/tex]

We know Jane got $2000, so we can use that to solve for [tex]x[/tex]:

[tex]\frac{4}{16} x = 2000[/tex]

[tex]x = \frac{16}{4} * 2000 = 8000[/tex]

Plug this x value in to find how much Peter and Martha received:

[tex]\frac{5}{16} * 8000 + \frac{7}{16} * 8000 = $6000[/tex]

Answer:

Answer:

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

Step-by-step explanation:

Answer: dude above me copied

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Answer:

find the slope? the slope is the number attached to the x so itd be 6

Answer:

slope- 6

Step-by-step explanation:

y=mx+b

y= outcome of the equation being done to x

m=slope

b=starting point on the you axis

x=the plug in on the x axis

y=6x+5. example: x=1

y=6 (1)+5

y=11

slope=6

Answer:

The  complex numbers arranged  in increasing order of their absolute value (modulus) are:      

Step-by-step explanation:

-5(n³-n²-1)+ n(n²-n)

= -5n³+5n²+5+  n³-n²   (multiplying)

= -6n³+6n²+5

(n²-1)(n +2)  -n² (n-3)

= n³+2n²-n -2 - n³+ 3n²          (multiplying)

=5n²-n -2

n² (n-4) + 5n³ -6

= n³- 4n +5n³ -6                  (multiplying)

= 6n³- 4n  -6

2n( n²-2n-1) + 3n²

= 2n³- 4n²  -2n + 3n²

=2n³ +n²  -2n

First we solve the expression by multiplying adding or subtracting . Then we take the expression whose answer is the highest both in co efficient and the power to be the last  in number as we have to write the expression in increasing order , mso we will start with the smallest.

The expression whose answer is the smallest both in co efficient and the power  is taken to be thefirst in number as we have to write the expression in  increasing order. The negative co efficients and less powers are taken to be the smallest in value.

The complex numbers in increasing order of their absolute value is [tex](\sqrt 3 - \sqrt 3i)^4[/tex] and [tex](\sqrt 3 - i)^6[/tex]

The complex numbers are given as:

[tex](\sqrt 3 - \sqrt 3i)^4[/tex] and [tex](\sqrt 3 - i)^6[/tex]

Start by simplifying both complex numbers using binomial expansion method.

So, we have:

[tex](\sqrt 3 - \sqrt 3i)^4 = 1 \times (\sqrt 3)^4 + 4 \times (\sqrt 3)^3 \times (\sqrt 3i) + 6 \times (\sqrt 3)^2 \times (\sqrt 3i)^2 + 4 \times (\sqrt 3)^1 \times (\sqrt 3i)^3 + 1 \times (\sqrt 3i)^4[/tex]

Evaluate the exponents

[tex](\sqrt 3 - \sqrt 3i)^4 = 1 \times 9 + 4 \times 3\sqrt 3 \times \sqrt 3i - 6 \times 3 \times 3 \times 1 - 4 \times (\sqrt 3) \times 3i\sqrt 3 + 1 \times 9[/tex]

Evaluate the products

[tex](\sqrt 3 - \sqrt 3i)^4 = 9 + 12\sqrt 3 \times \sqrt 3i - 54 - 12i \times (\sqrt 3) \times \sqrt 3 + 9[/tex]

Evaluate the products

[tex](\sqrt 3 - \sqrt 3i)^4 = 9 + 36i - 54 - 36i + 9[/tex]

Evaluate like terms

[tex](\sqrt 3 - \sqrt 3i)^4 = 9 - 54 + 9[/tex]

[tex](\sqrt 3 - \sqrt 3i)^4 = -36[/tex]

Next, simplify [tex](\sqrt 3 - i)^6[/tex]

[tex](\sqrt 3 - i)^6 = 1 \times (\sqrt 3)^6 + 6 \times (\sqrt 3)^5 \times (i) +15\times (\sqrt 3)^4 \times (i)^2 + 20\times (\sqrt 3)^3 \times (i)^3 + 15 \times (\sqrt 3)^2 \times (i)^4+ 6 \times (\sqrt 3) \times (i)^5 + 1 \times (i)^6[/tex]

Simplify

[tex](\sqrt 3 - i)^6 = -64[/tex]

So, we have:

[tex](\sqrt 3 - \sqrt 3i)^4 = -36[/tex] and [tex](\sqrt 3 - i)^6 = -64[/tex]

Calculate the absolute values

[tex]|(\sqrt 3 - \sqrt 3i)^4 |= |-36|[/tex]

[tex]|(\sqrt 3 - \sqrt 3i)^4 |= 36[/tex]

[tex]|(\sqrt 3 - i)^6 |= |-64|[/tex]

[tex]|(\sqrt 3 - i)^6 |= 64[/tex]

By comparison: 36 is less than 64

So, the complex numbers in increasing order of their absolute value is [tex](\sqrt 3 - \sqrt 3i)^4[/tex] and [tex](\sqrt 3 - i)^6[/tex]

Read more about complex numbers at:

https://brainly.com/question/10662770

Answer:

81

Step-by-step explanation:

9 × -9 = -81

-81 × -1 = 81

Answer:

81

Step-by-step explanation:

9*-9=- 81

-81*-1= 81

Answer:

Option C: 5(b+4) is the correct answer.

Step-by-step explanation:

Given that:

Which expression represents the product of 5 and the sum of b and 4.

We will divide it into two parts;

The sum of b and 4 means addition

b+4

And product means multiplication;

5(b+4)

The expression 5(b+4) represents the product of 5 and the sum of b and 4.

Hence,

Option C: 5(b+4) is the correct answer.

Answer:

[tex]y = 164[/tex]

Step-by-step explanation:

Given

[tex]y = 8x + 4[/tex]

Where

[tex]x = number\ of\ comic\ books[/tex]

[tex]y = total\ cost[/tex]

Required

Find y when x = 20

To do this, we simply substitute 20 for x in [tex]y = 8x + 4[/tex]

[tex]y = 8*20 + 4[/tex]

[tex]y = 160 + 4[/tex]

[tex]y = 164[/tex]

Hence, 20 comic books cost 164

Answer:

55

Step-by-step explanation:

180 - 82 - 43 = 55

I think this is right! I hope you have a good day and stay safe!

Answer:

0.05 or 5/100

Step-by-step explanation:

Answer:

Infinitely many solutions

Step-by-step explanation:

Solve: 4(x-1)-x=3(x+5)-11

First distribute.

4x-4-x=3x+15-11

Comvine like terms.

3x=4=3x-4

Infinitely many solutions.

Hope this helps plz hit the crown :D

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

Answer:

cute cat!

Step-by-step explanation:

Answer:

C. y - 3 = -2(x - 4)

Step-by-step explanation:

The equation of the line can be written in point-slope form as y - b = m(x - a),

Where,

m = slope

(a, b) = coordinates of a point on the line.

Find slope (m) using the points (4, 3) and (5, 1)

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{5 - 4} = \frac{-2}{1} = -2 [/tex]

m = -2.

Substitute a = 4, b = 3, and m = -2, into y - b = m(x - a), the equation that best fits the graph would be:

✔️y - 3 = -2(x - 4)

Answer:

1 gram

Step-by-step explanation:

Rounded, it is one gram or one whole, you round the whole number.

Answer: 475

sorry i solved it wrong the first time

Answer:

a₈₀ = 475

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

7 - 1 = 13 - 7 = 19 - 13 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₈₀ = 1 + (79 × 6) = 1 + 474 = 475

Answer:

FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE

Step-by-step explanation:

Answer:

7

down

3x-6

Step-by-step explanation:

g(x)=3x-6

f(x)=3x+1

Thus, g(x) is just f(x)-7

Answer:

Answer:

1/6, 2/3, 15/18

Step-by-step explanation:

get a common denominator

2/3 times 6

15/18 times 1

1/6 times 3

new fractions : 12/18, 15/18, 3/18

so it would be 3/18, 12/18, 15/18

then just revert it back to the original fraction and you have your answer

Answer:

82.88%

Step-by-step explanation:

Given that:

Mean (μ) = 16.7 pounds

Standard deviation (σ) = 3.8 pounds

Number of pounds eaten = 11.5 = x

P(11.5 ≥ x ≤11.5)

P(x ≤ 11.5) :

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)

P(x ≥ 11.5) ;

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)

P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)

0.91441 - 0.085593 = 0.828817

0.828817 * 100% = 82.88%

Answer:

imm a bit sorry I could only answer the international one as the national is equal to international place value system

Step-by-step explanation:

eight hundred ninety three thousand four hundred fifty one

hth tth th h t o

8 9 3 4 5 1

I hope you understand

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.

Hope this helps!

Answer:

Each of the twin beds: 5 decorative pillows

Each of the queen beds: 11 decorative pillows

Step-by-step explanation:

Let the number of pillows used for each twin bed be x

Let the number of pillows used for each queen bed be y

she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;

x + 2y = 27 - - - (eq 1)

Also, she used

37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;

3x + 2y = 37 - - - (eq 2)

From eq 1, x = 27 - 2y

Thus;

3(27 - 2y) + 2y = 37

81 - 6y + 2y = 37

81 - 4y = 37

4y = 81 - 37

4y = 44

y = 44/4

y = 11

x = 27 - 2(11)

x = 27 - 22

x = 5

Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed

Answer:

9

Step-by-step explanation:

36 ÷ 4 = 9

36 ÷ 9 = 4

Answer:

9

Step-by-step explanation:

Answer: The rectangular lot is 12x8 meters

Step-by-step explanation: Perimeter of a geometric figure is the sum of all its sides.

A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:

P = 2l + 2w

The perimeter of the lot is 40m, thus:

2l + 2w = 40

Area of a rectangle is calculated as:

A = length x width

The lot has area of 96, thus:

lw = 96

Solving the system of equations:

2l + 2w = 40 (1)

lw = 96 (2)

Isolate l from (1):

2l = 40 - 2w

l = 20 - w (3)

Substitute (3) in (2):

w(20-w) = 96

[tex]-w^{2}+20w=96[/tex]

[tex]-w^{2}+20w-96=0[/tex]

There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.

[tex]sum = \frac{-b}{a}[/tex]

[tex]sum=\frac{-20}{-1}[/tex]

sum = 20

[tex]prod=\frac{c}{a}[/tex]

[tex]prod=\frac{-96}{-1}[/tex]

prod = 96

The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:

w₁ = 12

w₂ = 8

If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.

Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms measures 12m in length and 8m  in width

Answer:

∠2=37°

Step-by-step explanation:

Given:

∠1=4x°

∠2=∠4 (Vertical Angle Theorem)

∠3=90°

∠4=(3x+1)°

∠4=∠2 (Vertical Angle Theorem)

∠1+∠2+∠3=180° (We use this equation in the next step)

∠1+∠3+∠4=180°

Thus, ∠2=(3x+1)°, making:

(4x)°+(3x+1)°+90°=180°

7x+91=180

7x=89

x=12

This means:

∠1=4x=4(12)=48°

∠2=3x+1=3(12)+1=37°

∠3=90°

∠4=3x+1=3(12)+1=37°