Mathematics, 06.09.2021 14:20 hopeschr2019

A sweet manufacturer has decided to design some gift boxes for a new kind of sweet. Each box is to contain 36 sweets placed in lines in a single layer in a geometric shape without gaps or fillers.
1. How many different shaped boxes can you design?
2. The sweets come in 4 colours, 9 of each colour.
Arrange the sweets so that no sweets of the same colour are
adjacent to (that is 'next to') each other in any direction. In the
picture on the right, none of the squares marked x can have a red
sweet in them.
XXX
XXX
• Arrange the sweets in some of the boxes you have drawn.
XX
.
Now try making boxes of 36 sweets in 2, 3 or 4 layers.
.
Can you arrange the sweets, 9 each of 4 colours, so that
none of the same colour are on top of each other as well as not adjacent to each other in any
direction?
See if you can invent a good way of showing your arrangement.
Try different numbers of sweets such as 24 or 60 in each box.
*Rlease show All your working out!

Answers: 3

Show answers

Answers

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

dont know

step-by-step explanation:

Answer from: Quest

-3.5 degrees per hour

step-by-step explanation:

find the unit rate:

-12 1/4 degrees 12.25 degrees

= - = -3.5 degrees per hour

3 1/2 hours 3.5 hours

Another question on Mathematics

Mathematics, 21.06.2019 17:30

Which of the following tables represents exponential functions?

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

You earn a 12% commission for every car you sell. how much is your commission if you sell a $23,000 car?

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Will give a: 122 b: 90 c: 48 d: 180

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

42. if 20 men can eat 200 kg of wheat in 40 days, then 10 men can eat 300 kg of wheat in how many days? a) 120 days b) 60 days c) 80 days d) none of these

Answers: 1

Answer

You know the right answer?

A sweet manufacturer has decided to design some gift boxes for a new kind of sweet. Each box is to...

Questions