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3 years ago

If 6a=5b, what are the following ratios? a+b/b

Mathematics

1 answer:

lidiya [134]3 years ago

4 0

Our Equation is

$6a=5b$

which means

$a = 5b/6$

Now we have to find this ration

$\frac{a+b}{b}$

Inserting value of a into this equation

$=\frac{\frac{5b}{6}+b}{b}$

$=\frac{\frac{11b}{6}}{b}$

$=\frac{11b}{6b}$

$=\frac{11}{6}$

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What is the value of x?

Helen [10]

They should be the same since it’s congruent ??

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3 years ago

Explain how to find the vertex of 2x^2+12x+16

Elina [12.6K]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

Use $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2$

<h3>Answer: (-3, -2).</h3>

Other method:

$f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)$

We have

$f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2$

<h3>Answer: (-3, -2).</h3>

5 0

3 years ago

49 is 35% of what number?

NNADVOKAT [17]

We write this like this:

49=35%x

and we want to find the x.

let's invert the sides:

35%x=49.

35 is equal to 0.35

0.35*x=49

and now we only divide both sides by 0.35:

x=140

so the answer is 140.

(aternatively we can do it through fractions:

35/100*x=49
divide both sides by 7:

5/100*x=7

simplify the first fraction
1/20*x=7

and multiply by 20:

x=140

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3 years ago

Consider △ABC and △DEF.

Marrrta [24]

The correct answer is the last one.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Miguelito vende camisas de vestir . En el local le cobran $150 de alquiler; comprq cada camisa en $3.00 y la vende en $5.00. Cua

lapo4ka [179]

Answer:

$x_{min} = 75\,camisas$

Step-by-step explanation:

El número mínimo de camisas a vender es igual al costo de alquiler del local dividido por la diferencia entre los valores de venta y compra de cada camisa. (The minimum amount of shirts to be sold is equal to the rental cost of the retail space divided by the difference between sell and purchase cost per shirt):

$x_{min} = \frac{\$ 150}{\$ 5 - \$ 3}$

$x_{min} = 75\,camisas$

Miguelito debe vender un mínimo de 75 camisas para obtener ganacias. (Miguelito must sell a minimum of 75 shirts to make a profit.)

4 0

2 years ago