All categories

2 years ago

The sum of two numbers is 50 and the difference is 4

Mathematics

2 answers:

Vikki [24]2 years ago

6 0

Step-by-step explanation:

x + y = 50

x - y = 4

x = y + 4

let's use that as substitute in the first equation

y + 4 + y = 50

2y = 46

y = 46/2 = 23

x = y + 4 = 23 + 4 = 27

the 2 numbers are 23 and 27.

juin [17]2 years ago

3 0

Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

→ x + x + 4 = 50

→ 2x + 4 = 50

→ 2x = 50 - 4 = 46

→ x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

You might be interested in

1. Does this equation represent growth or decay?<br> A (t) = 800(1.21)

Sholpan [36]

Answer:Decay

Step-by-step explanation: because of perenthesis

6 0

3 years ago

Read 2 more answers

If you know the distance (d) an object has moved from a reference point and the time (t) it took to move that distance, you can

love history [14]

Answer:

The answer is B.) s=d/t

Step-by-step explanation:

7 0

4 years ago

Solve: 1/4x - 5 = 3/4x - 12

ivanzaharov [21]

The answer to the math problem it X=14 hope this helps

7 0

3 years ago

Read 2 more answers

The base of an isosceles right triangle is 30 cm. What is its area?

dlinn [17]

Answer:

A = 450 cm²

Step-by-step explanation:

Since the right triangle is isosceles then the 2 logs are congruent , both 30 cm and at right angles to each other.

The area (A ) of the triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

Here b = h = 30 , then

A = $\frac{1}{2}$ × 30 × 30 = $\frac{1}{2}$ × 900 = 450 cm²

7 0

2 years ago

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