All categories

2 years ago

Answer each question using ratios.

Mathematics

1 answer:

Gnom [1K]2 years ago

5 0

Answer:

B) 42:28

Step-by-step explanation:

First, let's get 12:18 simplified to make it easier to compare:

12:18 -> 4:6 - > <u>2:3</u>

Now let's check it against all the options:

A) 20:30 -> 2:3 and 2:3 = 2:3

Not our answer as it is congruent (equal too, the same as, etc)

B) We can see that the first number is larger than the second number, so without doing too much math we can see this is our answer!

42:28

(it simplifes to 6:4 -> 3:2)

(we do not have to do the following as we already have an answer, but here is the math)

C) 4:6

4:6 ->

2:3 = 2:3

D) 2:3

2:3 = 2:3

You might be interested in

Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vec

julia-pushkina [17]

Answer:

$(2,6,6) \not \in \text{Span}(u,v)$

$(-9,-2,5)\in \text{Span}(u,v)$

Step-by-step explanation:

Let $b=(b_1,b_2,b_3) \in \mathbb{R}^3$ . We have that $b\in \text{Span}\{u,v\}$ if and only if we can find scalars $\alpha,\beta \in \mathbb{R}$ such that $\alpha u + \beta v = b$ . This can be translated to the following equations:

1. $-\alpha + 3 \beta = b_1$

2. $2\alpha+4 \beta = b_2$

3. $3 \alpha +2 \beta = b_3$

Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for $\alpha,\beta$ and check if the third equationd is fulfilled.

Case (2,6,6)

Using equations 1 and 2 we get

$-\alpha + 3 \beta = 2$

$2\alpha+4 \beta = 6$

whose unique solutions are $\alpha =1 = \beta$ , but note that for this values, the third equation doesn't hold (3+2 = 5 $\neq$ 6). So this vector is not in the generated space of u and v.

Case (-9,-2,5)

Using equations 1 and 2 we get

$-\alpha + 3 \beta = -9$

$2\alpha+4 \beta = -2$

whose unique solutions are $\alpha=3, \beta=-2$ . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.

4 0

2 years ago

A beverage company wanted to see if people in the United States liked their logo

KengaRu [80]

Answer: b

Step-by-step explanation:

best sample

8 0

2 years ago

Please show all work!! this is algebra.

Mnenie [13.5K]

Franco:
3x+2y=19
Caryl:
2x+4y=24

now use elimination

-2(3x+2y=19)
1(2x+4y=24)
=
-6x-4y=-38
2x+4y=24
add them together
which equals -4x=-14
divide both sides by -4
-4x/-4=-14/-4
x=7/2

we found x, so we subsitute it into the the original equation

3x+2y=19
3(7/2)2y=19
2y+21/2=19
-21/2 -21/2
2y=17/2
divide by 2 on both sides
2y/2= 17/2/2
y=17/4

so x= 7/2 and y= 17/4

8 0

1 year ago

Work out the volume of a prism with an area of 10m squared and a length of 8m

Jobisdone [24]

Is it 80 m I think that’s the answer

4 0

3 years ago

What is x²+x-30 as a binomial?

Zolol [24]

X^2+x-30 -- find two numbers that add to one and multiply to -30, which would be 6 and -5. so now you have x^2+6x-5x-30. factor out x and 5 to get x(x+6)-5(x+6). so you get (x+6)*(x-5)

6 0

3 years ago

Read 2 more answers