Is 122/48 in its simplest form or is it’s simplest form 61/24?

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

Step-by-step explanation:

It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd

Answer:

[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]

Answer:

1620

Step-by-step explanation:

Please make me brainlist

Answer:

140 comied

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

40° + 3y + 2y = 180°

↔ 5y = 140°

↔ y =28°

Answer:

(5, 7.8)

Step-by-step explanation:

There are several ways to solve this problem, but all of them involve similar triangles and ratios.

See the attached image.

The horizontal distance between points D and E is 11 - 1 = 10.  If a segment 10 units long is divided in the ratio 2:3 (as shown by the two smaller segments of length  a  and  b), then

[tex]\frac{a}{b}=\frac{2}{3}\\\frac{a}{a+b}=\frac{2}{2+3}\\\frac{a}{10}=\frac{2}{5}[/tex]

"Cross-multiply" to get

5a = 20

a = 4

To get the x-coordinate of point G, add 4 to 1, the x-coordinate of D.

The x-coordinate of G is 1 + 4 = 5.

The same idea can be used on the second coordinate of G.

The vertical distance from D to E is 15 - 3 = 12.

[tex]\frac{a}{b}=\frac{2}{3}\\\frac{a}{a+b}=\frac{2}{2+3}\\\frac{a}{12}=\frac{2}{5}[/tex]

5a = 24

a = 24/5 = 4.8

The y=coordinate of G is 3 + 4.8 = 7.8

Problem 61

The nth triangular number is

T(n) = n(n+1)/2

I'll rewrite this into

T(n) = 0.5n(n+1)

The triangular number right after this is

T(n+1) = 0.5(n+1)(n+2)

I replaced every n with n+1 and simplified

Let's see what we get when we add up the two expressions

T(n) + T(n+1)

0.5n(n+1) + 0.5(n+1)(n+2)

0.5n^2+0.5n + 0.5(n^2+3n+2)

0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1

n^2+2n+1

(n+1)^2

This shows that the sum of any two consecutive triangular numbers results in a square number

Here's a few examples

Note each sum is a perfect square, which visually would plot out a square figure.

For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}

==========================================================

Problem 64

Let's say we go with n = 5.

This means,

T(n) = 0.5n(n+1)

T(n-1) = 0.5(n-1)(n-1+1)

T(n-1) = 0.5n(n-1)

T(5-1) = 0.5*5(5-1)

T(4) = 10

This says that when n = 5, the 4th triangular number is 10

Triple that result and add on n = 5

3*T(4) + n = 3*10+5 = 35

This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.

Through a bit of trial and error, you should find it's a pentagonal number

Pentagonal numbers are of the form n(3n-1)/2

If you plugged n = 5 into that, it leads to 35

n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35

The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)

Answer:

(4 , 1 , -5)

Step-by-step explanation:

hopefully it is clear and visible...and also understandable

:)

Answer:

x = 6

Step-by-step explanation:

Because AB = BC and AB = 4x , AC = 24

=> 4x = 24

      x =6

Answer:

X=3

I hope this helps,

Not the neatest of handwriting though

Answer:

They are all right

Step-by-step explanation:

all of them are right

Everything is correct except the last one. I have attached the solutions, see them.

Explanation:

I'm assuming you meant to say the area is 375 in^2, aka 375 square inches.

If so, then,

area of rectangle = length*width

A = L*W

A/L = W

W = A/L

W = 375/25

W = 15 inches

As a check,

A = L*W = 25*15 = 375 which helps confirm the answer.

Answer:

2: B*W=A (Answers)

Step-by-step explanation:

A: A meter of rope should cost $0.8 or 80 cents.

B: It should be 1.20 meters.

Lois will sell her tee-shirt for $13.20

The percentage profit = [tex]\frac{profit}{cost price}[/tex] × 100

Profit = Selling price - cost price

Cost price is the total amount expended in making the tee-shirts

cost price includes cost of buying blank shirt , cost of fabric paint and amount Lois pay herself

cost of buying blank shirt = $1

cost of fabric paint = $1

amount Lois pay herself = [tex]1\frac{1}{2}[/tex] x $6

[tex]\frac{3}{2}[/tex] x $6 = $9

Total cost price = $1 + $1 + $9 = $11

0.2 = [tex]\frac{profit}{11}[/tex]

profit = 11 x 0.2 = $2.2

$2.20 = selling price - $11

selling price = $11 + 2.20 = $13.20

To learn more about selling price, please check : https://brainly.com/question/15533091?referrer=searchResults

Answer:

x(x-6)

Step-by-step explanation:

(x+2)(x-3)

x^2-3x+2x-6

x^2-x-6

x(x-6)

Answer:

something

Step-by-step explanation:

I JUST NEED POINTS TO ASK QUESTIONS

Answer:

Quotient= 70

Remainder=14

Step-by-step explanation:

Do you need explanation?

Answer:

23 goes into 1,624 70 times

Answer:

17 is 35 degrees and 18 is 43 degrees

Answer:

#17 is 35 degrees

#18 is 43 degrees

Step-by-step explanation:

#17.   90-55 = 35

#18.   90 - 47 = 43

Answer:

-6

Step-by-step explanation:

[tex] - \frac{12}{3} \times ( - 8 + ( - 4 {)}^{2} - 6) + 2[/tex]

[tex] (-4)² = 4²= 4×4 =16 [/tex]

[tex] - \frac{12}{3} \times ( - 8 +16 - 6) + 2[/tex]

[tex] -8 + 16-6= -14 + 16 = 2[/tex]

[tex] - 4( - 8 + 16 - 6) + 2[/tex]

[tex] - 4 \times 2 + 2[/tex]

[tex] - 8 + 2[/tex]

[tex] = - 6[/tex]

Answer:

-3

Step-by-step explanation:

3x +7 =f(x+1)

3x +7=x+1

3x-x=-7+1

2x=-6

-3

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

= 2 [tex]\frac{1}{2}[/tex]

Answer:

(-6, 4)

Step-by-step explanation:

15x + 57 ≥ 129

15x ≥ 129 - 57

15x ≥ 72

x ≥ 24/5

x ≥ 4.8

Answer:

[tex]x \geqslant 4.8[/tex]

Step-by-step explanation:

[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]

6.4 – 4.2

Rounding The Number To Nearest Whole Number of their difference.

6.4 – 4.2 = 2.2

Rounding 2.2 to nearest whole number will give = 2

So Your Answer is Option C- 2

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The decimal number is given below.

⇒ 6.4 − 4.2

⇒ 2.2

Round the number 2.2 to the nearest whole number.

If the decimal number is more than 0.5, then the ones place after the decimal will be increased by one.

In the decimal number is 2, then the ones place number 2 remains the same as 2.

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

More about the rounding of a number link is given below.

https://brainly.com/question/19031319

#SPJ2

Step-by-step explanation:

1)

TV=TU+UV

32=TU+20

TU=32-20

TU=12

2)

As B is between A and C:

AC=AB+BC

AC=16+12

AC=28

Answer:

32

Step-by-step explanation:

I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32

Answer:

B. 2³(3 x 5² + 2²)

Step-by-step explanation:

2³(3 x 5² + 2²)

Step 1. Simplify the exponents

8(3 x 25 + 4)

Step 2. Multiply 3 and 25

8(75 + 4)

Step 3. Add 75 and 4

8(79)

Step 4. Multiply

632

Answer:

Option B. 2³(3 x 5² + 2²) is correct

Step-by-step explanation:

2³(3 x 5² + 2²)

First of all multiply the exponents

8×(3×25+4)

Then do the multiplication of 3 and 25

8×(75+4)

Now add the following numbers in the bracket

8×(79)

And the last multiply the following numbers

8×79

632

[Hence, the expression 2³(3 x 5² + 2²) is equal to 632. ]

[tex]\text{a}_1=0 \ \text{and} \ \text{a}_2=3\\\\\text{r}=\text{a}_2-\text{a}_1=3-0=3\\\\\text{a}_{50}=\text{a}_1+49\text{r}=0+49\cdot3=0+147=147\\\\\huge\boxed{\text{a}_{50}=147}[/tex]

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation: