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2 years ago

Solve the following equation for x: 5x + 3y = 15.

Mathematics

2 answers:

Vladimir [108]2 years ago

7 0

Answer:

Step-by-step explanation:

5x + 3y = 15

5x = -3y +15

x = -3/5y +3

sladkih [1.3K]2 years ago

5 0

Answer:

The correct option is B) x = negative three fifths y + 3

Step-by-step explanation:

Consider the provided equation.

5x + 3y = 15

We need to solve the above equation for x.

Subtract both the side by 3y.

$5x + 3y-3y = 15-3y$

$5x= 15-3y$

To find the value of y, isolate the variable y:

Divide both the sides by 5.

$\frac{5x}{5}= \frac{15}{5}-\frac{3y}{5}$

$x= 3-\frac{3y}{5}$

$x= -\frac{3y}{5}+3$

Hence, the correct option is B) x = negative three fifths y + 3

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I need help with this 7f + 2f - 3b + b I can't figure it out

Leni [432]

Answer:

9f-4b

Step-by-step explanation:

you add the two fs together and you add the two bs together to get the answer

5 0

2 years ago

Solve st + 3t = 6 for s

vaieri [72.5K]

st + 3t = 6 for s

Subtract 3t to both sides

st + 3t - 3t = 6 - 3t

Simplify

st = 6 - 3t

Divide both sides by t

st/t = (6-3t)/3

simplify

s = 6/3 - 3t/3

s = 2 - t

6 0

2 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

Out of 21 students in Mrs.Clarks class, 3/7 of the class are boys and 4/7 are girls. How many students in the class are girls an

lidiya [134]

Answer:

9 boys and 12 girls

Step-by-step explanation:

if you multiply the denominators by 3, you get "out of" 21. All you need to do after that is multiply the top by 3 as well and it tells you there are 9 boys and 12 girls.

8 0

3 years ago

Please help ASAP!!!??

Mazyrski [523]

Answer:

$\{-2,-1,1,2,4\}$

Step-by-step explanation:

Given

The attached graph

Required

Determine the range of the graph

First, we list out the coordinate of each point on the graph:

The points are:

$\{(-4,-1),(-3,-2),(-2,2),(1,1),(2,4)\}$

A function has the form: (x,y)

Where

y = range:

From the coordinate points above,

$y = \{-1,-2,2,1,4\}$

Order from least to greatest"

$y = \{-2,-1,1,2,4\}$

Hence, the range are: $\{-2,-1,1,2,4\}$

4 0

2 years ago