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3 years ago

Mia's checking account balance is overdrawn by $52.65.

Mathematics

1 answer:

Svetach [21]3 years ago

8 0

Answer:

Step-by-step explanation:

So to start, Mia has an account that is overdrawn by $52.65 so her account is negative 52.65. She then adds 135.50 and used 24.30 so you would add 135.50 and 24.30 respectively. This would be (-52.65) + (132.50) - (24.30). This then would get you $58.55

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On the first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $6

denis-greek [22]

<u>ANSWER:</u>

The price of senior citizen ticket is $4 and price of child ticket is $7.

<u>SOLUTION: </u>

Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.

The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.

We need to find what is the price each of one senior citizen tickets and one child tickets.

Let, the price of senior citizen ticket be "x" and price of child ticket be "y"

Then according to the given information,

3x + 9y = 75

x + 3y = 25 [by cancelling the common term 3.

x = 25 – 3y ---- (1)

And, 8x + 5y = 67 ---- (2)

Substitute (1) in (2)

8(25 – 3y) + 5y = 67

200 – 24y + 5y = 67

5y – 24y = 67 – 200

-19y = -133

y = $\frac{133}{19}$

y = 7

Now substitute y value in (1)

x = 25 – 3(7)

x = 25 – 21 = 4

Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.

4 0

3 years ago

HELP NEEDED!!! WILL MARK BRAINLIEST!!!

erma4kov [3.2K]

Answer:

$x(x + 1)$

Step-by-step explanation:

$\frac{2x + 1}{ \frac{1}{x} + \frac{1}{x + 1} }$

Make denominators same:

$\frac{2x + 1}{ \frac{x + 1}{x(x + 1)} + \frac{x}{(x + 1)} }$

Add the numerators:

$\frac{2x + 1}{ \frac{x + 1 + x}{x(x + 1)} }$

$\frac{2x + 1}{\frac{2x + 1}{x(x + 1)} }$

Apply the rule:

$\frac{a}{ \frac{b}{c} } = \frac{a \times c}{b}$

Therefore,

$\frac{(2x + 1)\times x(x + 1))}{2x + 1}$

Cancel out common factor of 2x+1:

$x(x + 1)$

6 0

3 years ago

The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Angelina_Jolie [31]

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length. This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

$\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11$

$\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9$

Thus proving that Group A has the longer average former length.

7 0

2 years ago

Read 2 more answers

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

What is the value of x?enter your answer in the box .

Katarina [22]

By pythagoras Theorem.

x² +12²=13²

=>x² +144 =169

=>x² =169-144=25

=>x=√25=5 unit.

Hence x=5 is your answer.

Hope it helps...

Regards,

Leukonov/Olegion.

4 0

3 years ago