Pam and her sister have a pattern of saving money. Pam saved 40 dollars and her brother saved 100 dollars.
Pam says that this means that for every 2 dollars she saves, her brothers saves 5. Is she correct? Show and explain your thinking

Answer:

Step-by-step explanation:

The value of a in the equation [tex]81^b = a^4^b[/tex] will be 3.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ [tex]81^b = a^4^b[/tex]

Now,

Solve the expression for the value of b as;

⇒ [tex]81^b = a^4^b[/tex]

Since, 81 = 3⁴

So, We get;

⇒ [tex]3^4^b = a^4^b[/tex]

By comparing, we get;

⇒ a = 3

Thus, The value of a in the equation [tex]81^b = a^4^b[/tex] will be 3.

Learn more about the mathematical expression visit:

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Answer: 4x+22

Step-by-step explanation: From My understanding This is how my teacher taught me how to do it in 7th grade Pre-Ap math class Hope this helps:)

Answer:

216 miles :3

Step-by-step explanation: alright so  is it is 4.5 you just divide 1/4 by 4.5 (

18) 18 x 12 = 216 miles :3

Answer:

Step-by-step explanation:

1/4 inch=12 miles                               Harrisburg and Leighton= 4.5 inches

1) Set up a proportion: ¼ /12 miles = 4.5 inches/ x miles

(inches across from inches

miles across from miles )

2) Use cross-products to solve: ¼x= 12(4.5)

                           ¼x/¼ = 54/ ¼

                                       x=216miles

The distance between Harrisburg and Leighton is 216miles

You can draw a line to make a square and a rectangle to help find the area. The other method would be to form 2 squares and 1 rectangle.

This is probably wrong but I hope it helps!

Answer:

13 1/3

Step-by-step explanation:

8 ÷ [tex]\frac{3}{5} = 8* \frac{5}{3}= \frac{40}{3}=13\frac{1}{3}[/tex]

In fraction division, Keep the first number, Change the operation form division to multiplication, flip the second fraction {KCF method}

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8\div\dfrac{3}{5}}\\\\\mathsf{= \dfrac{8}{1}\div\dfrac{3}{5}}\\\\\mathsf{= \dfrac{8\times5}{1\times3}}\\\\\mathsf{= \dfrac{40}{3}\ which\ is\ approximately\ 13\dfrac{1}{4}}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{\bf \dfrac{40}{3} \ or \ 13\dfrac{1}{3}}}}\huge\checkmark\\\\\\\huge\boxed{\uparrow}\huge\textsf{ EITHER OF THOSE SHOULD WORK}\\\huge\textsf{ BECAUSE THEY ARE EQUIVALENT TO}\\\huge\textsf{EACH OTHER}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

a. −5x−1

b. 11x−1

Step-by-step explanation:

Answer:

A. -5x-1

B. X-1

Step-by-step explanation: Hope this help :)

Answer:

147 ft²

Step-by-step explanation:

14 x 14 = 196

7 x 7 = 49

196 - 49 = 147

Answer:

147 sq ft

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: The answer is 12.57

Step-by-step explanation:

Answer:

12.57

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

As Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′.

Therefore, we can conclude that the rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.

The transformation which describes the quadrilateral P'Q'R'S' is (x, y) → (x+5, y+3). Therefore, option B is the correct answer.

Given that, quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P'Q'R'S'.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

Translation rules:

When the shape is moved towards the right by k units, then replace x with x + k.

When the shape is moved up by k units, then replace y with y + k.

So, translated 5 units to the right

x → x+5

Translated 3 units up

y → y+3

The transformation which describes the quadrilateral P'Q'R'S' is (x, y) → (x+5, y+3). Therefore, option B is the correct answer.

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Answer:

x= 11

A=59

B= 37

C = 84

Step-by-step explanation:

A triangle adds up to 180 °.

So the equation will be a °+ b° + c° = 180°

Next, you combine like terms.

[tex]6x + 3x + 9x+4-15-7 = 180\\18x-18=180[/tex]

Then inverse operation,

[tex]18x-18=180\\18x=198\\x=11[/tex]

After to get a, b, and c you just need to plug in x.

[tex]6(11)-7=a\\3(11)+4 = b\\9(11)-15=c[/tex]

Answer:

28.73

Step-by-step explanation:

V=4

3πr3=4

3·π·1.93≈28.73091

Answer:

Step-by-step explanation:

Volume =  

  4 × π × r³ / 3    <----- This is our volume equation

= 4 × π × 1.9³ / 3    (Substituted the unknown r for the radius given, 1.9 cm)

= 4 × π × 6.859 / 3      (Cubed it, aka: Multiplied 1.9 by itself thrice, 1.9 × 1.9 × 1.9

= 4 × 21.548184011 / 3      (Multiplied 6.859 by pi "π")

= 86.1927360439 / 3         (Multiplied that by 4)

= 28.7309120146 cm³     (Divided it by 3, gave it a ³ dimension because it is 3D, volume.

≈

28.73cm³ or 28.7cm³ or 29cm³.   (rounded answers, hundreths, tenths and ones)

Based on the question, I assume you got a couple of options to choose from and have to pick the closest? Pick the answer closest to the answers given above.

Answer: are you asking for this or

Step-by-step explanation:

Answer: 35 C)

22 Divided By 11 = 2

11 x 3 = 33

2+33=35

Answer:

C

Hope this helps ;)

Answer:

3. is 8 x h + 8 x 3 = 8h + 24

4. is 3 x 2h + 3 x 7 = 6h + 21

5. is 5 x 3x + 5 x 9y = 15x + 45y

6. is 4 x 11h + 4 x 3g = 44h + 12g  

8. is a x 9b + a x 13 = 9ba + 13a

I dont really know 7