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4 years ago

3. 5p - 14 = 8p + 4

Mathematics

2 answers:

Elanso [62]4 years ago

8 0

= 5p-14= 8p+4
= -4-14= 8p-5p
= -18= 3p
= -18/3=p
= p=-6
Thus, your answer is -6.

fomenos4 years ago

7 0

Isolate the variable by dividing each by factors that contain the variable
P = -6

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A function g is defined by g(x)=50−2x. If x increases by 7, by how much does g(x) decrease?

Temka [501]

Answer: g(x) decreases by 7

Step-by-step explanation:

Simple algebra and substitution of variables for the number can help you to solve the problem,

g(7)=50-2(7)

g(7)=50-14

g(7)=36

I hope this helps

8 0

3 years ago

Read 2 more answers

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do

xenn [34]

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

$\texttt{ }$

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

$\texttt{ }$

<em>Volumes of 2% Solution = x</em>

<em>Volumes of 10% Solution = y</em>

$\texttt{ }$

<em>Total Volume = 10 ml</em>

$\boxed{x + y = 10}$ → <em>Equation 1</em>

$\texttt{ }$

<em>The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution</em>.

$2 \% x + 10 \% y = 6 \% (10)$

$2x + 10y = 6(10)$

$\boxed{x + 5y = 30}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 - Equation 2:</em>

$( x + y ) - ( x + 5y ) = 10 - 30$

$-4y = -20$

$y = -20 \div -4$

$y = 5 \texttt{ ml}$

$\texttt{ }$

$x + y = 10$

$x + 5 = 10$

$x = 5 \texttt{ ml}$

$\texttt{ }$

<h2>Conclusion:</h2>

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

6 0

3 years ago

HEEEEELP!!!!!!!!!!!!!11 I WILL MARK BRAINLIEST kx-3y=4 4x-5y=7 k is constant and x and y are variables, for what value of k will

Studentka2010 [4]

Answer:

Step-by-step explanation:

There is no solution for system of equations: $a_1x+b_1y=c_1\\a_2y+b_2y=c_2$

if: $a_1=a_2\quad and\quad b_1=b_2\quad and\quad \bold{c_1\ne c_2}$

so first, we we need to transform the equations to the form where the coefficients at y will be the same:

$kx-3y=4\\ 4x-5y=7\\\\ (kx-3y)\cdot5=4\cdot5\\ (4x-5y)\cdot3=7\cdot3\\\\ 5kx-15y=20\\ 12x-15y=21$

Now we have b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂

5k = 12

÷5 ÷5

k = ¹²/₅

7 0

3 years ago

Consider the following functions.<br> f(x) = x^2- 4<br> g(x) = x-2<br> What is (f(x)) (g(x))?

rodikova [14]

Answer:

(f(x) g(x)) = $x^3-2x^2-4x+8 ;$ all real numbers

Step-by-step explanation:

(f(x) g(x)) = $(x^{2} -4)(x-2)$

= $x^3-2x^2-4x+8$ via FOIL

6 0

3 years ago

A sphere has a volume of V=900 in cubed. What is the surface area?

ycow [4]

First, we must solve for the radius of the sphere:
V= $\frac{4}{3}$ $\pi$ $r^{3}$
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r=(3* $\frac{900}{4 \pi }$ ) $^{ \frac{1}{3} }$
r≈5.99

Second, we must solve for surface area:
A=4 $\pi$ $r^{2}$
A=4* $\pi$ * $5.99^{2}$
A≈450.88 $in^{2}$

4 0

3 years ago

3. 5p - 14 = 8p + 4​

3. 5p - 14 = 8p + 4