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Galina-37 [17]
2 years ago
5

At a football game, 43% of people attending were supporting the home team, while 57% were supporting the visiting team. If the t

otal number of people attending the game was 4500, how many people attending were supporters of the home team?
Mathematics
1 answer:
klemol [59]2 years ago
7 0

Answer:

1935

Step-by-step explanation:

Trust me

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Find the value of PR if Q is between P and R<br> when PQ=25, PQ=2x+1, and QR=x.<br> X<br> ат<br> X=8
Eva8 [605]

Answer:

PR = 37

Step-by-step explanation:

Given

PQ = 25

PQ = 2x +1

QR = x

Required

PQ

Since Q is between the given points, then:

PR = PQ + QR

This gives:

PR = 2x + 1 + x

Collect like terms

PR = 2x + x+ 1

PR = 3x + 1

Next, solve for x

We have:

PQ = 25

PQ = 2x +1

This gives:

2x + 1 = 25

Collect like terms

2x = 25 -1

2x = 24

Divide by 2

x = 12

So:

PR = 3x + 1

PR = 3 * 12 + 1

PR = 37

7 0
2 years ago
Divide £72 into the ratio 4 : 5.
algol13

Answer:

£32 : £40

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£72 ÷ 9 = £8 ← value of 1 part of the ratio, then

4 parts = 4 × £8 = £32

5 parts = 5 × £8 = £40

Then

£72 in the ratio 4 : 5 is £32 : £40

4 0
3 years ago
Evaluate 2/3+3/4 <br> 1and5/12
chubhunter [2.5K]

2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12

1 + 5/12 = 12/12 + 5/12 = 17/12 = 1 5/12

2/3 + 3/4 = 1 + 5/12

6 0
3 years ago
Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise
Katarina [22]

After 4 interval of six months, Joe to earn same hourly rate as Blaine

<em><u>Solution:</u></em>

Given that,

Amount earned by Joe = $ 14 per hour

Amount earned by Blaine = $ 18 per hour

Lets assume the number of six month intervals be "x"

<em><u>Joe receives a raise of $1.75 every six months</u></em>

Therefore,

Joe earning: 14 + 1.75(number of six month intervals)

Equation for Joe earning: 14 + 1.75x ------- eqn 1

<em><u>Blaine receives a raise of $0.75 every six months</u></em>

Therefore,

Blaine earning: 18 + 0.75(number of six month intervals)

Equation for Blaine earning: 18 + 0.75x ------------ eqn 2

The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,

Eqn 1 must be equal to eqn 2

14+1.75x = 18+0.75x\\\\1.75x-0.75x = 18-14\\\\1x = 4\\\\x = 4

Thus after 4 interval of six months, Joe to earn same hourly rate as Blaine.

8 0
3 years ago
Work out the volume of the cone, giving your answer
Gwar [14]

Answer:

If the given lengths of 7 cm, 24 cm, and 25 cm for the sides of a triangle satisfy the equation of the Pythagorean Theorem, then, yes, the given side lengths are those of a right triangle. Let's see if they are:

The well-known equation of the famous Pythagorean Theorem is:

a² + b² = c², which says that for a right triangle, the sum of the squares of the lengths of the two shorter sides of the triangle is equal to the square of the length of the longest side called the hypotenuse, where a and b are the lengths of the two shorter sides (also called the "legs") and c is the length of the hypotenuse (the side opposite the right angle).

We're given that a = 7 cm and b = 24 cm and that c = 25 cm. Substituting these values into the equation of the Pythagorean Theorem, we get:

a² + b² = c²

(7 cm)² + (24 cm)² = (25 cm)²

(7 cm)(7 cm) + (24 cm)(24 cm) = (25 cm)(25 cm)

49 cm² + 576 cm² = 625 cm²

625 cm² = 625 cm²

As we can see, the equation of the Pythagorean Theorem is satisfied, i.e., made a true statement, by the given lengths; therefore, if these three lengths, 7 cm, 24 cm, and 25 cm, are the lengths of the sides of a triangle, then the triangle is indeed a right triangle.

5 0
2 years ago
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