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3 years ago

10(p-7)=180 solve for p

Mathematics

2 answers:

natta225 [31]3 years ago

8 0

<u>Answer</u>

The answer is <em>p=25</em>

larisa [96]3 years ago

5 0

Answer:

p = 25

Step-by-step explanation:

Isolate the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

First, divide 10 from both sides of the equation:

(10(p - 7))/10 = (180)/10

p - 7 = 180/10

p - 7 = 18

Next, add 7 to both sides of the equation:

p - 7 (+7) = 18 (+7)

p = 18 + 7

p = 25

25 is your answer for p.

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9. Given 8x+4y = 4, identify the slope and y-intercept.

Elden [556K]

Answer:

A) Slope = -2 and y-int = 1

Step-by-step explanation:

The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

So, let's subtract 8x from both sides, leaving 4y on the left side:

8x + 4y = 4 -> 4y = -8x + 4

Now, let's divide both sides by 4, so that we can have just y on the left side:

y = -2x + 1

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3 years ago

An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can

serg [7]

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0 ......[1]

the solution for the equation is given by:

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

On comparing the given equation with [1] we have;

a = -16 ,b = 80 and c = 300

then;

$t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}$

$t= \frac{-80\pm \sqrt{6400+19200}}{-32}$

$t= \frac{-80\pm \sqrt{25600}}{-32}$

Simplify:

$t = -\frac{5}{2}$ = -2.5 sec and $t = \frac{15}{2}$ = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

8 0

4 years ago

Emma wants to know how much her dog weighs. She held her dog and stepped on the scale. Their combined weight is 118.6 pounds. Em

Pavlova-9 [17]

Answer:

33.2

Step-by-step explanation:

3 0

4 years ago

If sec 50 = cosec 70, prove that 0 = 7.5°

LiRa [457]

Answer:

The proofing is given below:

Step-by-step explanation:

$Sec 5\theta = cosec 7\theta\\\\cosec (90 - 5\theta) = cosec 7\theta\\\\Now\ on\ comparision \\\\90 - 5\theta = 7\theta\\\\90 = 7\theta + 5\theta\\\\90 = 12\theta\\\\\frac{90}{12} = \theta\\\\0.75 = \theta$

Hence, it is proved

7 0

3 years ago

A family is thinking about buying a new house

Rom4ik [11]

Answer:

a.) 1908.30

b.) 96373.15

c.)302491.15

unrounded answers below

Step-by-step explanation:

The amount that is to be loaned out is 380000-110000=270000

The effective montly rate is .07/12=.005833333

a.)

$270000=x(\frac{1-(1+.005833333)^{-(25*12)}}{.005833333})=1908.303833$

b.)

use what is called the prospective method (the outstanding loan balance at time n is equal to the present value of the remaining payments)

$1908.303833(\frac{1-(1+.005833333)^{-(25*12-20*12)}}{.005833333})=96373.14775$

c.)

total paid= 1908.303833*12*25=572491.1499

amount of loan: 270000

Total interest paid:

572491.1499-270000=302491.1499

3 0

3 years ago