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3 years ago

Select the correct answer. Which value of x makes the equation true? x + 7 = -9

Mathematics

1 answer:

fgiga [73]3 years ago

4 0

Answer:

x = - 16

Step-by-step explanation:

Given

x + 7 = - 9 ( subtract 7 from both sides )

x = - 16

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The number of students enrolled at a college is 17,000 and grows 6% each year.

Ad libitum [116K]

Answer:

1020 new students per year.

Step-by-step explanation:

5 0

3 years ago

The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

4 years ago

WILL GIVE BEST RESPONSE

tino4ka555 [31]

We will use demonstration of recurrences1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation 10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, for all positive integers n>=1
3) let's show that the equation is also true for n+1, n>=1
10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
let be N=n+1, N is integer because of n+1, so we have
10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
so the equation is also true for n+1,
finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.

4 0

3 years ago

Alexander is ridiang his bime to school, after one mile, he is a third of the way there. how much farther does he have to ride?

lisov135 [29]

He has to ride 2 more miles

6 0

3 years ago

No explanation needed just the answer please

Otrada [13]

Answer:

Step-by-step explanation:

65x- 12 = 43x + 10

65x - 43x = 10 + 12

22x = 22

x = 22/22

x = 1 

(65x- 12) =

65 * 1 - 12 = 53

43x + 10

43 * 1 -12 = 53

5 0

4 years ago