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zlopas [31]
3 years ago
6

Henrey bakes 84 bread rolls and fruit muffins. After giving away 18 rolls there are 5/6 as many rolls as muffins left. How many

rolls does Henrey bake?
Mathematics
1 answer:
Marianna [84]3 years ago
6 0

Answer:

48.

Step-by-step explanation:

Given, Henrey bakes 84 bread rolls and fruit muffins.

Let, Henrey baked x bread rolls, then he baked y fruit muffins. according to the second condition,

(x - 18) = 5/6 y

Now, solving these two equations,

y = 84-x

Or, x-18 = 5/6 (84-x)

Or, 6x- 108= 420-5x

Or, 11x= 528

Or, x= 48

Now, y= 84- 48= 36

Thus, Henry baked 48 rolls and 36 fruit muffins.

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The table below shows randy breuers height in inches leading into his teen years. The graph below displays a scatter plot of the
-Dominant- [34]
The least-square regression line has a slope of:

m=(nΣxy-ΣyΣx)/(nΣx²-ΣxΣx)

and a y-intercept of:

b=(Σy-mΣx)/n

In this case: n=7, Σxy=4899, Σy=391, Σx=85, Σx²=1153 so

m=(7(4899)-391*85)/(7(1153)-85*85))=1058/846

b=(391*846-85*1058)/(7*846)=34408/846

So the line of best fit is:

y=(1058x+34408)/846  and if we approximated this as your answers see to have done....

y=1.25x+40.67
8 0
4 years ago
Read 2 more answers
Each blue cube represents one cubic unit of volume. What is the volume of the large box? A) 20 cubic units B) 48 cubic units C)
konstantin123 [22]

Answer:

The volume of the large box is 384 cubic units

Step-by-step explanation:

Here, we have;

The number of cubes along the base of the front of the large box (width) = 8 cubes

The number of cubes along the base of the side of the large box (length) = 8 cubes

The number of cubes along the right  side of the front of the large box (the box height)  = 6 cubes

The volume of the large box = Length × Width × Height

∴ The volume of the large box = 8 cubes × 8 cubes × 6 cubes = 384 cubic units.

The volume of the large box = 384 cubic units.

5 0
4 years ago
What are the solutions to the equation 3(X -4)(X +5) =0
cestrela7 [59]
Answer should be: X = 4, -5
4 0
3 years ago
A line passes through the point (-4, -2) and has a slope of -5/2. Write an equation in slope- intercept form for this line.
kirill115 [55]

Answer:

<h2>           y = -⁵/₂x - 12 </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2)    ⇒   x₀ = -4,  y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10         {subtract 2 from both sides}

y = -⁵/₂x - 12             ←  the slope-intercept form of the equation

5 0
3 years ago
Consider the following definitions for sets of characters: Digits = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 } Letters = { a, b, c, d, e,
Darya [45]

Answer:

a) Number of passwords: 2763633600

b) Number of passwords: 2487270240

Step-by-step explanation:

We have:

10 digits,

26 letters, and

4 special characters.

We have to compute the number of passwords that satisfy the following conditions:

a) Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters.

We can use the three types of characters, as long as they do not repeat.

We have a total of 10+26+4=40 characters.

This means we have 40 options for the first place, (40 - 1) for the second place (as the first place already use one of the options available), and so on up to 6 places.

We can write this as:

C=40*39*38*37*36*35=40!/34!=2763633600

b. Strings of length 6. Characters can be special characters, digits, or letters, with no repeated characters. The first character can not be a special character.

In this case we add a restriction: the first character can not be a special character.

Then, for the first place we have only 40-4=36 options (digits and letters).

For the second place we can use the 39 options available (digits, letters and special characters).

Then we have:

C=36*(39*38*37*36*35)=36*(39!/34!)=2487270240

6 0
3 years ago
Read 2 more answers
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