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Fynjy0 [20]
3 years ago
10

A wise man once said, “ 500 reduced by 4 times my age is 268.” What is his age?

Mathematics
1 answer:
Alla [95]3 years ago
8 0

Answer:

58 years old

Step-by-step explanation:

the equation would be 500-4x=268 with x being his age.

subtract both sides by 500 to get -4x=-232

then divide both sides by -4 to get x=58

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Triangle angle sum theorem<br> What is the value of z?
prisoha [69]

Answer:

z=3

Step-by-step explanation:

→32+76+24z=180[Sum of all sides of a triangle]

→108+24z=180

→24z=180-108

→z=72/24

→z=3

7 0
2 years ago
Read 2 more answers
1/2x+2 in linear equation
Bogdan [553]

x/2+2 = 0

x+4/2 = 0

x+4 = 0

4 0
3 years ago
what number, when added to the numerator and to the denominator of $\frac{5}{8}$, results in a fraction whose value is 0.4?
luda_lava [24]

The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.

<h3>What is a fraction?</h3>

Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.

<h3>Calculation:</h3>

The given fraction is 5/8

Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.

So,

(5 + x)/(8 + x)

Since it is given that the result is 0.4 i.e., 4/10, we can write

(5 + x)/(8 + x) = 4/10

⇒ 10(5 + x) = 4(8 + x)

⇒ 50 + 10x = 32 + 4x

⇒ 10x - 4x = 32 - 50

⇒ 6x = -18

⇒ x = -18/6

∴ x = -3

Therefore, the required number is -3.

Check:

(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4

Learn more about fractions here:

brainly.com/question/17220365

#SPJ4

3 0
1 year ago
Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

⇒ C= \frac{20\times 0.94}{0.65} = 28.92

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= (15+20+28.92)= 63.9

∴ Perimeter of triangle= 63.9 units

7 0
3 years ago
Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
Ronch [10]

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

6 0
2 years ago
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