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tino4ka555 [31]
3 years ago
6

eric is ten years older than sal & mick is twice sals age their combined age equals 110 how old is sal

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
2x + x  + 10 + x = 110
4x + 10 = 110 (Subtract ten from both sides)
4x = 100 (divide both sides by four)
x = 25

Plug in values to check...

2(25) + 25 + 25 + 10 = 110
50 + 50 + 10 = 110
110 = 110

Mick is 50 years of age.
Sal is 25 years of age.
Eric is 35 years of age.
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A square and an equilateral triangle have equal perimeters. the area of the triangle is 
Ivenika [448]

a - length of side of a square

t - length of side of a triangle

The perimeter of a square: P_S=4a

The perimeter of a triangle: P_T=3t

We have the area of a triangle: A_T=16\sqrt3\ cm^2

The formula of an area of an equilateral trinagle: A_T=\dfrac{t^2\sqrt3}{4}

Substitute:

\dfrac{t^2\sqrt3}{4}=16\sqrt3    <em>multiply both sides by 4</em>

t^2\sqrt3=64\sqrt3     <em>divide both sides by \sqrt3</em>

t^2=64\to t=\sqrt{64}\to t=8\ cm

The perimeter of a triangle: P_T=3(8)=24\ cm

Substitute to the formula of a perimeter of a square:

4a=24       <em>divide both sides by 4</em>

a=6\ cm

The formula of a diagonal of a square: d=a\sqrt2

Substitute:

d=6\sqrt2\ cm

3 0
3 years ago
Question: Solve it using the proportion method.​
Hatshy [7]
60% of what number is 348?

The answer is 580.
5 0
2 years ago
a un baile asistieron 270 personas.si los boletos de costaban 100 pesos y los de dama 80 pesos y se recaudaron 24 800 pesos por
ser-zykov [4K]
The question in English
<span>A dance was attended by 270 people. If the gentlemen tickets cost 100 pesos and the lady tickets 80 pesos and 24800 pesos were collected for all the tickets. How many women and how many men attended the dance?

let
x---------> the number of men
y--------> the number of women

we know that
x+y=270----> x=270-y-----> equation 1
100x+80y=24800-------> equation 2
substitute equation 1 in equation 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160

the answer is
the number of men ---> 160
the number of women----> 110

the answer in Spanish

</span>hagamos
x--------->la cantidad de hombres
y--------->la cantidad de mujeres

Sabemos que
x+y=270----> x=270-y-----> ecuacion 1
100x+80y=24800-------> ecuacion 2
sustituimos la ecuacion 1 en la ecuacion 2
100*[270-y]+80y=24800----> 27000-100y+80y=24800
20y=2200-----> y=110
x=270-y----> x=270-110----> x=160

La respuesta es
la cantidad de hombres es 160
la cantidad de mujeres es 110
4 0
3 years ago
Are these expressions equivalent? (Show work)<br> 14x+10+2x and 5x+3x+10+8x
balu736 [363]

Step-by-step explanation:

14x+10+2x

16x+10. Answer 1

5x+3x+10+8x

16x+10. Answer 2

So, both Answers are same, So the expressions are equivalent...

3 0
2 years ago
To the nearest millimeter, a cell phone is 86 mm long and 40 mm wide. What is the ratio of the width to the length?
MAXImum [283]

Answer:

20 : 43

Step-by-step explanation:

width : length

40 mm : 86 mm

40 : 86

20 : 43

4 0
2 years ago
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