Explain how the shapes shown have been sorted. Two groups of shapes. In group A, one shape has four equal side lengths of three, and no right angles. The opposite sides are parallel. Two shapes have two pairs of opposite equal side lengths. One shape has side lengths of four and eight. The other side lengths are three and two. Opposite sides are parallel, and there are no right angles. In group B there are three four sided shapes. One has opposite equal side lengths of seven and four and four right angles. One shape has four equal side lengths of three and four right angles. One shape has one set of opposite parallel sides and one right angle. None of the side lengths in the last shape are equal.

Answer:

D.

Step-by-step explanation:

if he divides (7/8) / (2/5)

he will get x bottles of honey if each bottle weighs 2/5 pound

Answer:

480 eggs

Step-by-step explanation:

Given;

A crate of egg cartons holds 8 cartons of eggs.

Each carton has a dozen eggs.

To Find;

How many eggs are in 5 crates?

Note;

Dozen eggs = 12 egg

Solve;

Thus, Dozen eggs × Carton of eggs × many eggs are in crates

→ 12 × 8 × 5

→ 96 × 5

→ = 480

[RevyBreeze]

Hey there!

7/8÷6/8=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

7/8×8/6=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

7×8/8×6=56/48

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 56 and 48 using

GCF(56,48) = 8

56÷8/48÷8=76

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= [tex]1 \frac{1}{6} [/tex]

Therefore:

7/8÷6/8= 1 1/6

Let's do

[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\div \dfrac{6}{8}[/tex]

[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{8}{6}[/tex]

[tex]\\ \bf\hookrightarrow \dfrac{7}{8}\times \dfrac{4}{3}[/tex]

[tex]\\ \bf\hookrightarrow \dfrac{7}{2}\times \dfrac{1}{3}[/tex]

[tex]\\ \bf\hookrightarrow \dfrac{7}{6}[/tex]

Answer:

(4x^2-3)(x^2-5)

Step-by-step explanation:

We are going to group the first two and last two terms and find the GCF of each set.

4x^4-20x^2-3x^2+15

(4x^4-20x^2)(-3x^2+15)

4x^2(x^2-5)-3(x^2-5)

Then we group the GFCs together and the rest

(4x^2-3)(x^2-5)

Answer:

Length of the rectangular lot = 60 meters

Width of the rectangular lot = 30 meters

Step-by-step explanation:

Let the width of the rectangular lot be x meters.

So, Length of the same = 2x metres.

[tex]A(rectangular \:lot) = (2x)(x)[/tex]

[tex]\implies A(rectangular \:lot) = 2x^2[/tex]

When length is increasEd by 40 m and width by 6 m. Then....

New length = [tex](2x + 40) \:m[/tex]

New width =[tex](x + 6) \:m[/tex]

According to the question:

[tex](2x + 40)(x + 6) = 2(2x^2)[/tex]

[tex]\implies 2x(x + 6) + 40(x + 6) - 4x^2=0[/tex]

[tex]\implies 2x^2+12x + 40x + 240 - 4x^2=0[/tex]

[tex]\implies 2x^2- 4x^2+12x + 40x + 240 =0[/tex]

[tex]\implies -2x^2+52x + 240 =0[/tex]

[tex]\implies 2(x^2-26x - 120) =0[/tex]

[tex]\implies x^2-26x - 120=0[/tex]

[tex]\implies x^2-30x+4x - 120=0[/tex]

[tex]\implies x(x-30)+4(x - 30)=0[/tex]

[tex]\implies (x-30)(x+4)=0[/tex]

[tex]\implies x-30=0,\: x+4=0[/tex]

[tex]\implies x=30,\: x=-4[/tex]

Since, x represents the side length, so its value can't be negative.

[tex]\implies x=30[/tex]

[tex]\implies 2x=2(30)=60[/tex]

Thus,

Length of the rectangular lot = 60 meters

Width of the rectangular lot = 30 meters

Answer:

His pattern is 42cm long.

Step-by-step explanation:

Each repetition of the pattern is 8 cm (4 colors time 2cm each)

If the last color is red and he painted 6 red strips in total, then he repeated the pattern 5 times and ended on an extra red strip.

So 8cm times 5 repetitions equals 40, plus 2cm for the extra red strip.

Answer:

Step-by-step explanation:

24/12 = 2

72/(8 - 9)  Be sure and use brackets when you post a question. 8 - 9 = - 1

72/-1 = - 72

2 - 72 = - 70

Given:

The given rule is

[tex]f(n)=n^3-7[/tex]

Domain of the function is the set of whole numbers greater than 0.

To find:

The first 4 terms of the sequence.

Solution:

We have,

[tex]f(n)=n^3-7[/tex]

Domain of the function is the set of whole numbers greater than 0. So, the domain for first four terms of the sequence are 1, 2, 3 and 4 respectively.

For n=1,

[tex]f(1)=(1)^3-7[/tex]

[tex]f(1)=1-7[/tex]

[tex]f(1)=-6[/tex]

For n=2,

[tex]f(2)=(2)^3-7[/tex]

[tex]f(2)=8-7[/tex]

[tex]f(2)=1[/tex]

For n=3,

[tex]f(3)=(3)^3-7[/tex]

[tex]f(3)=27-7[/tex]

[tex]f(3)=20[/tex]

For n=4,

[tex]f(4)=(4)^3-7[/tex]

[tex]f(4)=64-7[/tex]

[tex]f(4)=57[/tex]

Therefore, the first 4 terms of the sequence are -6, 1, 20, 57 respectively.

Answer:

The answer is that image below. If it isn't correct, I'm sorry.

Answer: 40.82

Step-by-step explanation:

Use pythagoras theorem to solve

Root 35 squared + 21 squared = 40.82

Answer:

y=3/2 x + 1/2

Step-by-step explanation:

please see attached picture

Answer:

36 5/6 liters

Step-by-step explanation:

There was a whole lot of math put into it that I don't wanna type, but long story short, I had to combine 12 1/5, 9 19/20, and 14 47/60. Up above is the final answer that I got.

Answer:

15.0

Step-by-step explanation:

V = pi×r^2×h

so r = 15.0

1 out of 10, or [tex]\frac{1}{10}[/tex]. It is unlikely to occur.

Answer:

Under water is 2/3×45= 30yrs

So rest is 1/3

1/3 is divide in 12 parts

1/3÷12=1/36

Grazing is 4/36×45= 5yrs

Sleeping is 7/36×45=8.75yrs

Socialising is 1/36×45=1.25yrs

Answer:

Step 1: Add 2 to both sides.

7x−2+2=−9+2

7x=−7

Step 2: Divide both sides by 7.

7x/7  =  -7/7

Answer:  x=−1

Answer:

x=-1

Step-by-step explanation:

7x-2=-9 (Given)

7x=-7 (Add 2 on both sides to eliminate he -2 on the left side)

x=-1 (Divide both sides with 7 to eliminate the 7 in 7x)

Answer: x=-1

Answer:

24 inches

Step-by-step explanation:

10+8+6=24

In inches because it is not the area of the figure.

Answer:

45°

Step-by-step explanation:

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

3x + y = 16

3x + 1(0) = 16

x1 = 5.333 y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

3x + y = 16

3(0) + y = 16

y2 = 16 x2 = 0

Answer:

At least 7 since 0 is a whole number the lowest n+7 can be is 0+7= 7 and there is seven numbers in between 0 and seven.

Step-by-step explanation:

Answer:

V≈21790.09

Step-by-step explanation:

Volume of a cylinder equals V=π*r^2*h. Find the radius by taking the base and dividing it by 2 (34/2=17). Plug numbers into equation. π·17^2·24.

Answer:

2 and  8

Step-by-step explanation:

multiply the denominator to equal the other fraction and do the same for the denominator

Answer:

t=2

Step-by-step explanation:

Start by subtracting 9 from both sides. You'll get 7-2t=3/2t. I made 3/2 a mixed number, so 1 1/2. You should have 7-2t=1 1/2t. Add 2t to both sides, because the 2t is negative. You should have 7=3 1/2t. Last step is to divide     3 1/2 into both sides. 7 divided by 3 1/2 is equal to 2, so t=2

Answer:

80 tools in one day

Step-by-step explanation:

30 = 2400

÷ 30

1 = 80

Answer:

please explain further so i can help.

Step-by-step explanation:

Answer: 10 rows of 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

a-b=(-7)-(-16)=-7+16=9