All categories

2 years ago

To raise money for a local charity, students organized a wake-a-thon

Mathematics

1 answer:

arsen [322]2 years ago

6 0

Answer:

a) T= 3.125h

b) $75

Step-by-step explanation:

Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.

We can divide $50 into 16 hours.

50/16 = 25/8

25/8 = 3.125

3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)

That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.

Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.

We know Tania earns $3.125 per hour, so we can make it this equation

T= 3.125h

T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.

Now onto the second question: How much would she have raised by staying awake for 24 h?

We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.

(I apologize in advance if I misread something or made a mistake)

You might be interested in

Anna gets paid $8.75/hour working as a barista at Coffee Break. Her boss pays her $9.00/hour for creating the weekly advertiseme

vladimir1956 [14]

Answer:

i believe it would be $443.75

Step-by-step explanation:

just add 8.75 to 9.00 then multiply it by 25

8.75+9.00= 17.75 x 25= 443.75

if its a different type of equation then maybe this didn't help but i hope it does

7 0

2 years ago

For the equations y=3.5x and y=25x + 40.50, x represents time in hours and y represents cost in dollars . Which equation is not

CaHeK987 [17]

Answer:

y=25x+40.50 is not the equation of proportional relationship because if you were to graph the equation, the line would not go through the origin of the graph. You can tell beause of the y-intercept that is given in the equation, 40.50.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Brenna is buying 4.25 feet of ribbon for $1.95 a foot. She determines the product of the two numbers to determine the actual cos

Leya [2.2K]

Answer:

4.25 feet of ribbon cost around $ 8.29

Step-by-step explanation:

We are given the following information in the question:

Length of ribbon to be bought by Brenna = 4.25 feet

Cost of 1 foot of ribbon = $1.95

Total or actual cost of the ribbon =

$\text{Total length of ribbon}\times \text{Cost per unit length of ribbon}$

Cost of ribbon to be purchased by Brenna =

$\text{Estimation of cost of ribbon:}$

$4.25\times 1.95 = 8.2875 \approx \$8.29$

Thus, to find the actual cost Brenna should use the product of total length of ribbon to be bought and the unit cost of the ribbon.

Hence, 4.25 feet of ribbon cost around $ 8.29

3 0

2 years ago

Read 2 more answers

Find all x in set of real numbers R Superscript 4 that are mapped into the zero vector by the transformation Bold x maps to Uppe

sukhopar [10]

Answer:

$x_3 = \left[\begin{array}{c}4&3&1\\0\end{array}\right]$

Step-by-step explanation:

According to the given situation, The computation of all x in a set of a real number is shown below:

First we have to determine the $\bar x$ so that $A \bar x = 0$

$\left[\begin{array}{cccc}1&-3&5&-5\\0&1&-3&5\\2&-4&4&-4\end{array}\right]$

Now the augmented matrix is

$\left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&5\ |\ 0\\2&-4&4&-4\ |\ 0\end{array}\right]$

After this, we decrease this to reduce the formation of the row echelon

$R_3 = R_3 -2R_1 \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&5\ |\ 0\\0&2&-6&6\ |\ 0\end{array}\right]$

$R_3 = R_3 -2R_2 \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&5\ |\ 0\\0&0&0&-4\ |\ 0\end{array}\right]$

$R_2 = 4R_2 +5R_3 \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&4&-12&0\ |\ 0\\0&0&0&-4\ |\ 0\end{array}\right]$

$R_2 = \frac{R_2}{4}, R_3 = \frac{R_3}{-4} \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&0\ |\ 0\\0&0&0&1\ |\ 0\end{array}\right]$

$R_1 = R_1 +3 R_2 \rightarrow \left[\begin{array}{cccc}1&0&-4&-5\ |\ 0\\0&1&-3&0\ |\ 0\\0&0&0&-1\ |\ 0\end{array}\right]$

$R_1 = R_1 +5 R_3 \rightarrow \left[\begin{array}{cccc}1&0&-4&0\ |\ 0\\0&1&-3&0\ |\ 0\\0&0&0&-1\ |\ 0\end{array}\right]$

$= x_1 - 4x_3 = 0\\\\x_1 = 4x_3\\\\x_2 - 3x_3 = 0\\\\ x_2 = 3x_3\\\\x_4 = 0$

$x = \left[\begin{array}{c}4x_3&3x_3&x_3\\0\end{array}\right] \\\\ x_3 = \left[\begin{array}{c}4&3&1\\0\end{array}\right]$

By applying the above matrix, we can easily reach an answer

5 0

2 years ago

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above

Charra [1.4K]

Answer:

$y\geq\frac{1}{3}x-1$

Step-by-step explanation:

A solid straight line has a positive slope and goes through (0, negative 1) and (3, 0)

<em>Find the slope of the solid line</em>

$m=(0+1)/(3-0)\\\\m=\frac{1}{3}$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=\frac{1}{3}$

$b=-1$ ---> given problem

substitute

$y=\frac{1}{3}x-1$

Everything above and to the left of the line is shaded

so the inequality is equal to

$y\geq\frac{1}{3}x-1$

8 0

2 years ago

Read 2 more answers