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Eva8 [605]
3 years ago
6

The ratio of boys to girls on a swimming team is 3 to 4.The team has70 memebers.How many are boys

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

30

Step-by-step explanation:

Boys : Girls

3        :  4

total is 7 which represents 70

so 3/7 × 70

gives 30

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Solve the matrix equation X-A=B for X if A= [8, -2, -3, 9, -1, 5] and B= [0, 7, 2 -3, -7, -1]
djverab [1.8K]

If <em>X</em> - <em>A</em> = <em>B</em>, then <em>X</em> = <em>A</em> + <em>B</em>. So

X = \begin{bmatrix}8&-2\\-3&9\\-1&5\end{bmatrix} + \begin{bmatrix}0&7\\2&-3\\-7&-1\end{bmatrix} \\\\ X = \begin{bmatrix}8+0&-2+7\\-3+2&9-3\\-1-7&5-1\end{bmatrix} \\\\ X = \begin{bmatrix}8&5\\-1&6\\-8&4\end{bmatrix}

3 0
3 years ago
suppose you deposit $500 into an account earning 7.8% interest compound annually. what will your balance be after 5 years?
Bogdan [553]
500 + 7.8%
539 x 5
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8 0
3 years ago
The first side of a triangle is 4m shorter than the second side. The third side 3 times as long as the first side. The perimeter
viktelen [127]

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.

4 0
3 years ago
7
Maurinko [17]

Answer:

6(7a + 9b) = 3(14a + 18b)

Step-by-step explanation:

We need to find the equivalent expression for the given expression i.e. 6(7a + 9b).

We can use the distributive property here such that,

a(b+c) = ab + ac

We have, a = 6, b = 7 and c = 9

6(7a + 9b) = 6(7a) + 6(9b)

= 42a + 54b

or taking 3 common from the above expression.

= 3(14a+18b)

Hence, the correct option is (a).

8 0
3 years ago
What is 2/5 in a fraction and percent
Rama09 [41]
2/5 in percentage is 40%. Since 5/5 represents 100%, 100 divided by 2/5 is 40. Thus 2/5 is 40%
5 0
3 years ago
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