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3 years ago

What is the ratio that is equivalent to 7/9

Mathematics

1 answer:

Oliga [24]3 years ago

3 0

Answer:

$\frac{14}{18}$ is one equivalent ratio

Step-by-step explanation:

Given the ratio

$\frac{7}{9}$ ← in simplest form

Then to obtain equivalent ratios

Multiply the numerator/ denominator by the same value, that is

$\frac{7(2)}{9(2)}$ = $\frac{14}{18}$

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Which ordered pair is a solution of the equation -x-4y=-10

Ilia_Sergeevich [38]

Answer:

There are many possible solutions. Here are some:

(-2,12) (2,2) (6,1) (10,0) (-6,4)

Step-by-step explanation:

hope it helps

3 0

3 years ago

Read 2 more answers

How would I do this problem?

kenny6666 [7]

If it's a geometric sequence then:

$a_1=27;\ a_2=27\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{27}{36}=\dfrac{3}{4}=0.75\\\\a_{n+1}=a_nr\\\\a_3=27\cdot0.75=20.25\ CORRECT$

We calculate the fourth and fifth term of the sequence:

$a_4=a_3r\to a_4=20.25\cdot0.75=15.1875\\\\a_5=a_4r\to a_5=15.1875\cdot0.75=11.390625$

Answer:

In year 4 15.1875 animals.

In year 5 11.390625 animals.

7 0

3 years ago

Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0

3 years ago

Daniel has lunch at a restaurant and the cost of his meal is $49.00, because of the service, he wants to leave a 5% tip. what is

yuradex [85]

49*1.05= $51.45

Hope it helped

8 0

3 years ago

X+1/2(x-4)=1/2x+6(x-2)

Andrej [43]

Answer:

B) 1

Step-by-step explanation:

x+1/2(x-4)=1/2x+6(x-2)

x+1/2x-4/2=1/2x+6x-12

x+1/2x-1/2x-2=6x-12

x-2=6x-12

x-6x-2=-12

-5x-2=-12

-5x=-12+2

-5x=-10

5x=10

x=10/5

x=2

8 0

3 years ago