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olga2289 [7]
2 years ago
15

Answer this Question

Mathematics
1 answer:
enyata [817]2 years ago
8 0

Answer:

n = -13

Step-by-step explanation:

√10 - 3n = 7 ⇔

⇔ 10 - 3n = 49 ⇔ We need to remove the square root. Ex: √n = 2 ⇔ n = 2²

⇔  -3n = 49 - 10 ⇔
⇔ -3n = 39 ⇔
⇔ n = \frac{39}{-3} = -13 (as -3 changes members, as it was multiplying, it now divides, conversion).

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Explain how you know that 7/12 is greater than 1/3 but less than 2/3
Musya8 [376]
Simple, 7/12 is greater than 1/3 because 7/12=0.58333 and 1/3=0.333, 0.58333 is greater than 0.333. That is how I know that 7/12 is greater than 1/3. I know that 1/3 is less than 2/3 because 1/3=0.333 and 2/3=0.666, 0.333 is less than 0.666
5 0
3 years ago
Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and
Monica [59]

Step-by-step explanation:

We have got the lines :

y=ax+b\\y=cx+d

Both lines intercept the x-axis in the point :

I = (i_{1} ,i_{2})

In all point from x-axis the y-component is equal to 0.

I=(i_{1},o)

We replace the I point in the lines equations:

0=a(i_{1})+b \\0=c(i_{1})+d

From the first equation :

0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}

From the second equation :

0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}

Then i_{1}=i_{1}

Finally :

\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0
3 years ago
Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135
melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on  1/5  of his land,

Number of acres of his land planted with corn =  1/5  × Number of acres of land Roy have

=  x/5

As he planted 45 acres of his land with corn,

⇒ x/5​

 = 45

⇒x = 45 × 5

⇒x = 225

Therefore, number of acres of land Roy have is   225  .

To learn more about fraction from given link

brainly.com/question/78672

#SPJ4

4 0
2 years ago
The equation y = 0.25x describes a proportional relationship between x and y. What is the constant of proportionality?
hoa [83]

Answer:

k = 0.25

Step-by-step explanation:

The standard equation of a proportional relationship is

y = kx ← k is the constant of proportion

y = 0.25x ← is in this form

with k = 0.25

8 0
3 years ago
Find the values of x and y. Show your work pls (7x-4) (4y+8) 24 and 31
abruzzese [7]

Answer:

The value of x is 5.

The value of y is 4.

Step-by-step explanation:

From the figure, the lengths of the lines with equal number of markings are equal.

So, we will have the length of 7x - 4 = 31.

We solve for 'x'.

We get: 7x = 35

⇒ x = 5

Similarly, 4y + 8 = 24

⇒ 4y = 24 - 8

⇒ 4y = 16

⇒ y = 4

Therefore, the value of x = 5 and y = 4.

Hence, the answer.

8 0
3 years ago
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