At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?

1 answer:

5 0

D. If 11.60 of them 5, then in your proportions they would need to be on the same side (both numerators or both denominators) and D is the only answer where this is true.

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5x^{2} + 3x = x^{2} + 7x

Ipatiy [6.2K]

$5x^{2} + 3x = x^{2} + 7x\\
4x^2-4x=0\\
4x(x-1)=0\\
x=0 \vee x=1$

8 0

3 years ago

In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq

soldi70 [24.7K]

Answer:

see explanation

Step-by-step explanation:

let pq = x

given oq - pq = 1 then oq = 1 + x

Using Pythagoras' identity, then

(oq)² = 7² + x²

(1 + x)² = 49 + x² ( expand left side )

1 + 2x + x² = 49 + x² ( subtract 1 from both sides )

2x + x² = 48 + x² ( subtract x² from both sides )

2x = 48 ( divide both sides by 2 )

x = 24 ⇒ pq = 24

and oq = 1 + x = 1 + 24 = 25 ← hypotenuse

sinq = $\frac{opposite}{hypotenuse}$ = $\frac{7}{25}$

cosq = $\frac{adjacent}{hypotenuse}$ = $\frac{24}{25}$

6 0

3 years ago

I forget how to do this help I'll give brainliest

Gnoma [55]

50 since a triangle has to equal 180, trust!

6 0

3 years ago

I thought of a number, added 4 5/7 to it, and got the number 12 times as big as my original what was my number

Genrish500 [490]

Let's call the number you thought of n. Then what the two steps you took can be written as an equation:
$n+4\frac{5}{7}=12n$

Subtract n to get all of your variables to one side:
$4\frac{5}{7}=11n$

At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:
$\frac{33}{7}=11n$

Now divide both sides by 11 to get the value of n:
$\frac{3}{7}=n$