Please answer this.

The ratio of Tom's age to his nephew's age is 3:1 . The difference in their ages is 24 years.How old is Tom now?

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:

140 comied

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

40° + 3y + 2y = 180°

↔ 5y = 140°

↔ y =28°

Answer:

k = 73

Step-by-step explanation:

to find the value of k we need to

we know that the angle sum of triangle is 180

so

62 +45 +k = 180

107 +k = 180

k = 180 - 107

k = 73

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]

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:

M. T . FFFF

Step-by-step explanation:

IM HUNGRY A. - S.  F

Answer:

ABD = 90 and DBC = 63

Step-by-step explanation:

ABD + DBC = ABC    

(5x +5) + (3x + 12) = 153  

combine like terms to simplify    

8x + 17 = 153

subtract 17 from 153  

8x = 136

divide 136 by 8

x =17  

Now we plug x = 17 in -> ABD: 5 x 17 + 5 = 90   DBC: 3 x 17 + 12 = 63

En el circo, para alimentar 3 tigres se necesitan 40 kg de carne por día, entonces para alimentar 6, 9 y 12 tigres se necesitan 80, 120 y 160 kg de carne por día, respectivamente.                      

Para calcular cuántos kg de carne se necesitan para alimentar 6, 9 y 12 tigres, podemos realizar la siguiente conversión (aplicación de regla de 3):

[tex] x = \frac{40 kg}{3 \: tigres}*6\: tigres = 80 kg [/tex]

[tex] x = \frac{40 kg}{3 \: tigres}*9\: tigres = 120 kg [/tex]

[tex] x = \frac{40 kg}{3 \: tigres}*12\: tigres = 160 kg [/tex]

Por lo tanto, se necesitan 80, 120 y 160 kg de carne para alimentar 6, 9 y 12 tigres, respectivamente.        

Para encontrar mas sobre la resolución de problemas con regla de 3 visita este link: https://brainly.com/question/9898461?referrer=searchResults

Espero que te sea de utilidad!    

Answer:

yea for sure

Step-by-step explanation:

So  the equation is y = x + 8. We already have the answers for x, so we just need to solve for y.

We can use this same equatoin to find y.

Let's start with the first example, 2.

y = 2 + 8. 2 + 8 = 10, so the first box would be 10.

next is 0. 0 + 8 is 8 , so the second box would be 8.

The third box has x as 4. 4+8 is 12, so the last box is 12.

Hope this helps!

x, y

(2, 10)

(0, 8)

(4, 12)

all you need to do is add the numbers under x 2,0,4 to 8. y=x+8 just plug the numbers in.

10=2+8

12=4+8

8=0+8

Either take the photo of that question or take screenshot and attach it. The question is not complete.

Answer:

Peter = 6 kg

Mary = 12 kg

Lucy = 8 kg

Step-by-step explanation:

let us take number of kg's peter took as x

then lets form an expression to find x

let us take mary's chestnuts as = 2x (twice as much as peter)

let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)

so

x + 2x + 2+ x = 26

4x + 2 = 26

4x = 26 - 2

4x = 24

x = 24/4

x = 6

now let us see how much each of them picked while replacing 6 by x

Peter = x

         = 6 kg

Mary = 2x

         = 2(6)

         = 12 kg

Lucy = 2+x

        = 2 + 6

        = 8 kg

now let us cross check to see the answer

6 + 12 + 8

18 + 8

= 26

CROSS-CHECKED

Answer:

There u go, just use the brainly scanner thingy

Answer:

f(3) = -1, f(2) = -3, f(1) = -5, f(0) = -7, f(-1) = -9

Step-by-step explanation:

f(x) = 2x -7

f(3) = 2(3) - 7 = -1

f(2) = 2(2) - 7 = -3

f(1) = 2(1) - 7 = -5

f(0) = 2(0) - 7 = -7

f(-1) = 2(-1) - 7 = -9

Step-by-step explanation:

[tex]16x^4-(y-1)^2=4^2\cdot (x^2)^2-(y-1)^2=(\textcolor{blue}{4x^2})^2-(\textcolor{green}{y-1})^2[/tex]

[tex]\text{Comparing with } \textcolor{blue}{U}^2-\textcolor{green}{V}^2, \text{ we know}[/tex]

[tex]\textcolor{red}{U=4x^2, V=(y-1)}[/tex]

[tex]\text{By the formula } U^2-V^2=(U+V)(U-V)[/tex]

[tex]16x^4-(y-1)^2=(4x^2)^2-(y-1)^2=\textcolor{red}{(4x^2+y-1)(4x^2-y+1)}[/tex]

Answer:

1. algebraic expression: a mathematical expression containing one or more variables

2. coefficient: the constant preceding the variables in a product

3. constant: a numerical value

4. expression: a mathematical phrase that cannot be determined true or false

5. variable: a letter or symbol used to represent an unknown

Step-by-step explanation:

Answer:

5 5/8 cups of ketchup

Step-by-step explanation:

1 7/8 x 3

15/8 x 3/1 = 45/8

45/8 = 5 5/8

9514 1404 393

Answer:

  x = 52

Step-by-step explanation:

The square corner symbol indicates the sum of the marked angles is 90°. (They are complementary.)

  (x +3)° +35° = 90°

  x° = 90° -38° = 52°

  x = 52

[tex]15+3x\gt6[/tex]

[tex]3x\gt-9[/tex]

[tex]x\gt-3[/tex]

The answer is C.

Hope this helps :)

Answer:

C. x>-3

Step-by-step explanation:

3x> 6-15

x> -9/3

x>-3

Answer:

Answer: x is -9

Step-by-step explanation:

If it's a line AC with a point B between;

AC = AB + BC

substitute in terms of x :

[tex]8 = (2x + 20) + (2x + 24)[/tex]

group x terms in a same bracket, and constants in their bracket

[tex]8 = (2x + 2x) + (20 + 24) [/tex]

operate the brackets:

[tex]8 = 4x + 44[/tex]

subtract 44 from both sides:

[tex]8 - 44 = (4x + 44) - 44 [/tex]

simplify:

[tex] - 36 = 4x[/tex]

divide all sides by 4:

[tex] \frac{ - 36}{4} = \frac{4x}{4} \\ \\ x = - 9[/tex]

Answer: Should be 8 ,,,,,

Answer:

Step-by-step explanation:

well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x.

The answer to that is: X = 8.

40 divided by 5 = 8.

To check we can do 5 x 8 = 40.

X = 8

Answer:

(-6, 4)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

4x-8=12

4x=12+8

4x=20

x=20/4

=5

Step-by-step explanation:

4x-8=12

4x-8+8=12+8

4x=20

4x÷4=20÷4

x=5

Answer:

-25

Step-by-step explanation:

sorry for the mistake

​

Answer:

$24

Step-by-step explanation:

h x 5 = 30

h = 6

30 - 6 = 25

Answer:

3-gallon jug of water for $10.92, is the better buy

Step-by-step explanation:

First let's do the 3 gallon jug -

We need to find the unit rate (The cost per gallon/quart)

$10.92 / 3 = $3.64

$8.64 / 8 = $1.08

1 Gallon = 4 Quarts, therefore the 3-gallon jug of water is the better buy.

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:

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]

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