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Slav-nsk [51]
3 years ago
14

Maggie lives on a street with 10 houses. The houses are numbered 1 to 10. If Maggie adds up all the house numbers that are lower

than hers, the total is three times her actual house number. What number is Maggie’s house?
Mathematics
2 answers:
aev [14]3 years ago
6 0

Answer:

7

Step-by-step explanation:

1+2+3+4+5+6=21

21÷3=7

lions [1.4K]3 years ago
3 0

Answer:

Her house number would be 7.

Step-by-step explanation:

If you add up all the houses previous to house number 7 the sum would be 21 which is three times her house number.

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Find the value of x. <br><br> 15<br> 20<br> 48<br> 80
evablogger [386]

Answer:

x = 15

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 9 × 25 = 225 ( take the square root of both sides )

x = \sqrt{225} = 15

5 0
3 years ago
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100POINTS!!!! PLEASE HELP EXPLAIN YOUR ANSWER!!! BRAINLIEST!!!
Nitella [24]

Example: Does the point (5, 2) lie within the solution set of the given system of inequalities?

y ≤ x − 5

y ≥ −x − 4

Focus on the first inequality. Does (5,2) satisfy this inequality? Is 2 ≤ 5 - 0 true? Yes, it is true. Before we call (5,2) a solution, we must determine whether or not (5,2) also satisfies the 2nd inequality: Is 2 ≥ -(5) - 4 true?

Is 2 ≥ -9? Yes! So, yes, (5,2) is a solution of this system of inequalities.

We must check out the other three possible solutions in the same fashion.


Try out the point (5,-2). Does it satisfy both inequalities?

Focusing on the first inequality: Is -2 ≤ 5 - 5 true? Yes, it is. The key question here and now is whether or not (5,-2) also satisfies y ≥ −x − 4. Is

-2 ≥ -(5) - 4 true? Is -2 ≥ -9 true? Yes. Thus, (5,-2) satisfies both inequalities and is thus another solution.

Check out (-5,2) and (-5,-2) in precisely the same way. Is either one, or are both, a solution (or solutions) to the given set of inequalities?

6 0
3 years ago
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If a and b are integers such that a2 − b2 = 100, what is the greatest possible value of a?
tatyana61 [14]

Answer:

26

Step-by-step explanation:

Question says that 'a' and 'b' are integers that implies we cannot have 'a' and 'b' in the form of decimals.

Now, lets expand the given equation:

a^2-b^2=100

(a+b)(a-b)=100

Lets say: (a+b)=p, (a-b)=q

Let us consider the factor pairs of 100.

(1 \times 100), (2 \times 50), (4 \times 25), (5 \times 20), (10 \times 10), (20 \times 5), (25 \times 4), (50 \times 2), (100 \times 1)

Only factor pair (2,50) gives us the integer values of 'a' and 'b'.

a+b=50....equation  (1)

a-b=2........ equation (2)

adding equation 1 and 2, we get:

2a=52

a=\frac{52}{2}=26

a-b=2

Plugging the value of 'a' in the equation 2

26-b=2

b=24

So the greatest possible value of 'a' is 26.  

5 0
3 years ago
The circumference of a circle is 60 pi cm. What is the radius of the circle?
kykrilka [37]

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=60\pi \end{cases}\implies 60\pi =2\pi r\implies \cfrac{60\pi }{2\pi }=r\implies 30=r

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3 years ago
Solve the equation for all values of x: (x+1)^2=-49
Kazeer [188]

Answer:

Values for x = -1 + 7i  and -1 - 7i

Step-by-step explanation:

we have an equation,

(x+1)^2 = -49

We need to solve this equation for all values of x:

(x+1)^2 = - 49

Taking square root both sides

√((x +1)^2) = √-49

x + 1 = ± 7i

Subtract both sides by 1

x = -1 ± 7i

Hence we get two values for x = -1 + 7i  and -1 - 7i

6 0
4 years ago
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