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2 years ago

What value of x makes the

Mathematics

2 answers:

loris [4]2 years ago

6 0

Answer:

$x = -12$

Step-by-step explanation:

Step 1: Add 1/4x to both sides

$-\frac{1}{4}x - 12 = x + 3$

$-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x$

$-12 = \frac{5}{4}x + 3$

Step 2: Subtract 3 from both sides

$-12 - 3 = \frac{5}{4}x + 3 - 3$

$-15 = \frac{5}{4}x$

Step 3: Multiply both sides by 4/5

$-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}$

$-12 = x$

Answer: $x = -12$

Vlada [557]2 years ago

6 0

Answer: x = -18.75

-1/4x - 12 = x + 3

Add 12x from both sides to get
-1/4x = x + 15

Then minus x from both sides
-5/4x = 15

The divide by -5/4 to get
x = -18.75

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Identify the value of p. Give your answers in simplest radical form. HELP PLEASE!!

VikaD [51]

Answer:

Step-by-step explanation:

using the cosine ratio to find p

cos 45° = $\frac{adjacent}{hypotenuse}$ = $\frac{6}{p}$

cross- multiplying gives

p × cos45° = 6 → [ cos 45° = $\frac{1}{\sqrt{2} }$ ]

p × $\frac{1}{\sqrt{2} }$ = 6

multiply both sides by $\sqrt{2}$

⇒ p = 6 $\sqrt{2}$ ( third option on list )

7 0

3 years ago

Jessica was planting flower seeds in a garden. She planted 26.53 square feet of seeds in 7 minutes. At what unit rate did Jessic

Snezhnost [94]

Jessica planted 3.79 square feet of seeds each minute.

if we divide 26.53 by 7 we can get that answer

5 0

2 years ago

What value of b will cause the system to have an infinite number of solutions?

irga5000 [103]

b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

Solution:

Need to calculate value of b so that given system of equations have an infinite number of solutions

$\begin{array}{l}{y=6 x+b} \\\\ {-3 x+\frac{1}{2} y=-3}\end{array}$

Let us bring the equations in same form for sake of simplicity in comparison

$\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}$

Now we have two equations

$\begin{array}{l}{-6 x+y-b=0\Rightarrow(1)} \\\\ {-6 x+y+6=0\Rightarrow(2)}\end{array}$

Let us first see what is requirement for system of equations have an infinite number of solutions

If $a_{1} x+b_{1} y+c_{1}=0$ and $a_{2} x+b_{2} y+c_{2}=0$ are two equation

$\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ then the given system of equation has no infinitely many solutions.

In our case,

$\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}$

As for infinitely many solutions $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$

$\begin{array}{l}{\Rightarrow 1=1=\frac{-b}{6}} \\\\ {\Rightarrow6=-b} \\\\ {\Rightarrow b=-6}\end{array}$

Hence b must be equal to -6 for infinitely many solutions for system of equations $y = 6x + b$ and $-3 x+\frac{1}{2} y=-3$

8 0

2 years ago

The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to

I am Lyosha [343]

Answer:

D=24

Step-by-step explanation:

y inversely as x

x=k/y

By cross multiplication

k=xy

k=12*6

k=72

finding y

72=3y

y=24

6 0

2 years ago

- Does the decimal expansion of the fraction 29

aev [14]

Answer:

A. no, because the fraction is rational

Step-by-step explanation:

The reason being is because I did your mom

5 0

1 year ago