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3 years ago

HELP ASAP

Mathematics

2 answers:

Aleks04 [339]3 years ago

8 0

Answer:

Answer: y - 37.5 = 2.5 ( x - 7)

Explanation:

1) The point-slope form is has this form:

y - y1 = m (x - x1)

Where m is the slope or rate of change and x1, y1 are the coordinates of the point.

2) you are told that the the rate of change of water (m) is 2.5

m = 2.5

3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:

x1 = 7

y1 = 37.5

4) Replace those value in the point-slope model:

y - 37.5 = 2.5 ( x - 7)

That is the point-slope model or equation.

Step-by-step explanation:

Solnce55 [7]3 years ago

5 0

So, first let's refill the barrel to the top:
37.5 + 7*2.5 = 55
Now that it's full again, let's divide the total amount by the rate of water loss:
55/2.5 = 22
It will take 22 minutes to completely empty the rain barrel

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In a department store, a $190 phone is marked, "Save 15%."

MaRussiya [10]

Answer:

a- $28.50

b- $161.50

Step-by-step explanation:

multiply 190 and 0.15 and you get 28.5 subtract that from 190 and you get 161.5

Hope this helps!

7 0

3 years ago

Solve the system of equations y = 40x2 and y = 19x + 3 algebraically.

ikadub [295]

We have been given a system of nonlinear equations.

$\\y=40x^{2},y=19x+3$

In order to solve this system we can first equate the two equations in order to get a quadratic in x.

$\\40x^{2}=19x+3$

Our next step is to bring all the terms on one side.

$\\40x^{2}-19x-3=0$

Now we have to solve this equation. We can solve it by factoring using the splitting middle term method.

$\\40x^{2}-24x+5x-3=0$

$\\8x(5x-3)+(5x-3)=0$

$\\(8x+1)(5x-3)=0$

Upon setting each of these factors equal to zero using zero product property we get

$\\8x+1=0 \text{ or } 5x-3 = 0$

Upon solving both these equations we get

$\\x=-\frac{1}{8} \text{ or } x=\frac{3}{5}$

Now we can substitute these values of x in the equation

$y=19x+3$

We get

$\text{For }x=- \frac{1}{8} \Rightarrow y=19(- \frac{1}{8})+3= \frac{5}{8}\\$

$\text{For }x= \frac{3}{5}\Rightarrow y=19( \frac{3}{5})+3= \frac{72}{5}\\$

Therefore, our final set of solutions are

$(x,y)=(- \frac{1}{8},\frac{5}{8}) \text{ and } ( \frac{3}{5}, \frac{72}{5})$

6 0

3 years ago

Read 2 more answers

Plzzz help asap its for summer school btw

Anestetic [448]

Answer:

See below.

Step-by-step explanation:

Graphing the points on the number line will spell the word 'LATE'.

However, when graphing the absolute values of the numbers, they will spell the word 'TEAL'.

This is due to using absolute value which makes any value positive.

Ex: |-8| = 8

|-5| = 5

7 0

3 years ago

A restaurant automatically charges a 20% gratuity if a party has 6 or more people. How much gratuity is added to a party of 6 on

kotegsom [21]

$28.20 gratuity is added on a bill of $141.

Step-by-step explanation:

Given,

Gratuity charged by restaurant = 20%

Total bill = $141

Gratuity amount = 20% of total bill

$Gratuity\ amount=\frac{20}{100}*141\\\\Gratuity\ amount=\frac{2820}{100}\\\\Gratuity\ amount=\$28.20\ \$

$28.20 gratuity is added on a bill of $141.

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

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3 years ago

Evaluate.<br> 5.002 - 4.3<br>

tia_tia [17]

Answer:

0.702

Step-by-step explanation:

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3 years ago

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