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masya89 [10]
3 years ago
11

Solve the proportion. 10/a = 15/30 A = 20 A = 10 A = 2 A = 5

Mathematics
2 answers:
otez555 [7]3 years ago
7 0
Cross multiply

10/a = 15/30

10/a(a)(30) = 15/30(30)(a)

Simplify

1/a(a) = 1
15/30(30) = 15

10(30) = 15(a)

Simplify. Combine terms

300 = 15a

Isolate the a. Divide 15 from both sides

300/15 = 15a/15

a = 300/15

a = 20

A) a = 20 is your answer


hope this helps
rjkz [21]3 years ago
5 0
Hello!

To solve this we will cross multiply the first numerator by the second denominator and then divide by the other value you have besides a, which in our case is 15.

10(30)=300

300/15=20

Therefore, A=20.

I hope this helps!
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1/2 - y (6y - 8)
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3 years ago
Y divided by 9 equals 81
algol [13]
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Read 2 more answers
Simplifique a expressão 10ny-10x+10ny+10y
IRISSAK [1]

Responder:

10 (2ny- (x-y))

Explicación paso a paso:

Dada la expresión 10ny-10x + 10ny + 10y, para simplificar la expresión, se deben seguir los siguientes pasos;

Paso 1; Separa la expresión en términos similares

= 10ny-10x + 10ny + 10y

= (10ny + 10ny) - (10x + 10y)

Paso 2: Factoriza los valores comunes en ambos paréntesis

10ny (1 + 1) - 10 (x-y)

= 10ny (2) - 10 (x-y)

= 20ny - 10 (x-y)

Factoriza nuestro valor común en ambos términos:

= 10 (2ny- (x-y))

3 0
3 years ago
A professor gives two types of quizzes, objective and recall. He is planning to give at least 15
nadya68 [22]

Answer:

x₁ = 20     x₂ = 0

z (min) = 20

Step-by-step explanation:

According to the problem statement:

Let´s call

Objective quiz =  x₁               Recall quiz =  x₂

First constraint

Quantity of quizzes at least 15

x₁  +  x₂  ≥ 15

Second constraint:

Preparation time   at least 300 minutes, then

15*x₁  +  30*x₂  ≥   300

Third constraint

Average score  at least  85 points

7*x₁  +  5*x₂   ≥  85

General constraint x₁ ≥ 0   x₂ ≥ 0

Objective function z is:

z = 1* x₁ + 1,5*x₂     to minimize

The model:

z = x₁  + 1,5x₂      to minimize

Subject to

x₁  +  x₂  ≥ 15

15*x₁  +  30*x₂  ≥   300

7*x₁  +  5*x₂   ≥  85

Using Atozmax (online solver) we find

x₁ = 20     x₂ = 0

z (min) = 20

5 0
2 years ago
Write in index form 9 x 9 x 4 x 4 x 4 x 9 x 9 x 9
nika2105 [10]

Answer:

9^5 x 4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

7 0
3 years ago
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