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3 years ago

A dozen fidget spinners cost 9.60 what is the unit rate of the spinners

1 answer:

8 0

80 cents. To find the unit rate you need to know how much 1 fidget spinner costs, when all the fidget spinners cost the same amount. To this you have to divide 9.6 (total cost) by 12 (total # of fidget spinners). You get .8 (the cost of 1 fidget spinner).

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Maria has 14 fewer apps on her phone than Orlando. If the total number of apps on both phones is 34, how many apps are on each p

Hoochie [10]

Orlando has 24 apps and Maria has 10.

4 0

2 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

3 years ago

Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 399. Find the numbers.

julsineya [31]

Answer:

The answer is 3

Step-by-step explanation:

5 0

3 years ago

Does anyone know the answer

alukav5142 [94]

676 out of 650 is 104%

7 0

2 years ago

Helppppp me I am stuck help me plzz

soldi70 [24.7K]

Answer:

espero sirva qwq

Step-by-step explanation:

4= 0.56666666666

5=1.66666666667

6=1.375

7=1.425

8=0.92857142857

9=1.666666667

10=1.44444444444

11=0.825

6 0

3 years ago