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3 years ago

The following are the ages (years) of 5 people in a room:

Mathematics

1 answer:

Nat2105 [25]3 years ago

7 0

Answer:

I think its 26 I would not swear it though

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I think of a number. If I divide the sum of 6 and the number by 3,the result is 4 more than one quarter of the number. Find the

Alex17521 [72]

Answer:

Step-by-step explanation:

Let the number be x.

Sum of the number and 6: $6+x$

Divide it by 3: $\frac{6+x}{3}$

Result is 4 more than one quarter of the number:

$\frac{6+x}{3} =4+\frac{1}{4} x$

Multiply both sides by 12:

$\frac{6+x}{3}\cdot \:12=4\cdot \:12+\frac{1}{4}x\cdot \:12$

Simplify:

$4\left(x+6\right)=48+3x$

Expand:

$4x+24=48+3x$

Subtract 24 from both sides:

$4x+24-24=48+3x-24$

$4x=3x+24$

Subtract 3x from both sides:

$4x-3x=3x+24-3x$

$x=24$

The number is 24.

7 0

3 years ago

What is lcm and gcf of 6a and 8b

Feliz [49]

Lcm is 24 and the gcf is 2

8 0

3 years ago

Read 2 more answers

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

Had to do it to em

ohaa [14]

Answer:

A is the correct answer

Step-by-step explanation:

When x =4 and y =-5, and you want to evaluate equation -3x+2y, you just have to apply it into the equation.

We got the equation as:

= -3x + 2y

= -3*4 + 2*(-5)

= -12 + (-10)

= -12 - 10

= -22

Hope this help you :3

6 0

3 years ago

Read 2 more answers

Find the values of the variables

Nikolay [14]

Answer:

corresponding value of equal matrix is equal

a=10

b= -6

c=3

Step-by-step explanation:

4 0

3 years ago