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choli [55]
3 years ago
12

2500 people took part in a race. The number of adults was 4 times the number of children. There were 1200 men. How many women we

re there?
Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

The total number of women (w)=800

Step-by-step explanation:

We can express the total number of each group as follows;

Total number of people (p)=Number of Adults (a)+number of children (c)

2,500=a+c....equation 1

Number of Adults (a)=4×number of children (c)

a=4 c....equation 2

Replacing the value of a in equation 1 with the value for a in equation 2

2,500=4 c+c

5 c=2,500

c=2,500/5

c=500

Number of children (c)=500

Replace the value of c in equation 2 with 500 and solve

a=4×500

a=2,000

Number of adults (a)=2,000

But the total number of adults can be expressed as;

Total number of adults (a)=Total number of men (m)+total number of women (w)

a=m+w

where;

a=2,000

m=1,200

replacing;

2,000=1,200+w

w=2,000-1,200

w=800

The total number of women (w)=800

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Answer:

  1063 ft

Step-by-step explanation:

For shadow problems, we assume the sun's rays are parallel, so the triangles formed are similar. That means the ratio of height to shadow length is the same for each object.

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The height of the monument is about 1063 feet.

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2 years ago
A rectangular window has a length of 81.47 cm and a width of 34.2 cm. What is the least precise measurement of the perimeter of
alexgriva [62]

Answer:

In our case the least precise is the one with no decimal units, in our case 231 cm

Step-by-step explanation:

Perimeter=2(L+w)

where;

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W=width=34.2 cm

Replacing;

Perimeter=2(81.47+34.2)=231.34 cm

The most precise is the one with the highest decimal units, for example 231.34 in our case the least precise is the one with no decimal units, in our case 231

8 0
3 years ago
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Scorpion4ik [409]

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

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4 0
2 years ago
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Help. Explain good for brainliest
Nimfa-mama [501]

The measure of m∠J=90°, m∠G=55° and m∠H=35°

Step-by-step explanation:

Inscribed angles subtended by a diameter are right angles. Hence angle GJH =90°

The diameter GH and chord GJ intercepts an arc with a measure of 70°.The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. Hence angle GOJ=70°. Radius of circle GO=OJ, which means triangle GOJ is an isosceles triangle thus ∠OJG=∠OGJ =(180° -70°) /2 = 55°. m∠G=55°

m∠H = (180°-(90°+55°) ) = 180° - 145° =35°

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Angles subtended by a diameter :brainly.com/question/10345730

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3 years ago
4. Sam's parents are teachers who commute 45 miles roundtrip to work 5 2 days a week. His parents spend $38 on gasoline each wee
Marat540 [252]
<h2>Answer:</h2><h2>The correct option is d. (i) and (ii)</h2>

Step-by-step explanation:

The total miles covered per day = 45

No of commuting days in a week = 5

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The total amount spent on gasoline = $ 38

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This confirms (ii) statement

The amount spend on gasoline per mile = \frac{38}{225} = $0.17

This confirms (i) statement

The number of miles per gallon of gasoline = \frac{225}{15.32} = 14.68 miles

The statement (iii) is false.

7 0
3 years ago
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