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3 years ago

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

Mathematics

2 answers:

Vladimir [108]3 years ago

7 0

Answer:

Step-by-step explanation:

5x + 3y = 15

5x = -3y +15

x = -3/5y +3

sladkih [1.3K]3 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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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Naya [18.7K]

It's a geometric sequence.

$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n$

It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$

8 0

3 years ago

Marcus needs to bike at least 80 miles this week for his training.If he has already biked 25 miles this week ,then how many mile

Orlov [11]

Answer:

Step-by-step explanation:

So if he already biked 25 miles we can subtract 80 and 25 which will get a total of 55. if we divided 55 miles to the rest of the 5 days he will have to bike 11 miles each day

5 0

3 years ago

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Mars2501 [29]

Answer:

-6

Step-by-step explanation: dont know, did math. this is the answer on edge

6 0

3 years ago

Read 2 more answers

Round your answer to the nearest hundreth.

katovenus [111]

Answer:

78.54 is the radius of a circle of 5 inches

Step-by-step explanation:

the formula of the area of a circle is

A = πr^2

When you multiply 5 times 5, you get 25. Then, multiply 25 by pi to recieve 78.54 rounded to the nearest hundredth.

4 0

3 years ago

Balu and Pumba shared 2/3 of a cake. Balu got to eat three times as much cake as Pumba. What fraction of the whole cake did Balu

MatroZZZ [7]

Answer:

In fraction, Balu ate 1/2 of the whole cake

Step-by-step explanation:

Balu and Pumba shared 2/3 of a cake.

Balu eats three times as much cake as Pumba.

So let's take the 2/3 they shared as a whole.

Let's Balu share be x

And pumbs share be y

X = 3y

But x + 3y = 2/3

Since x = 3y

Y = x/3

x + x/3 = 2/3

4x/3 = 2/3

X = (2*3)/(4*3)

X = 2/4

X = 1/2

Balu ate half of the whole cake

In fraction, Balu ate 1/2 of the whole cake

6 0

3 years ago