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sergejj [24]
3 years ago
15

June was thinking of a number. June doubles it and gets an answer of 98.9. What was the original number?

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

Answer: 49.45

Step-by-step explanation:

From the information, we are informed that June was thinking of a number and then doubles it and gets and gets an answer of 98.9.

Let the number be represented by x.

Since she doubles it, thus implies that:

2x = 98.9

x = 98.9 / 2

x = 49.45

The number is 49.45

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4 0
2 years ago
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the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length
lisov135 [29]

Answer:

B. 4\sqrt{7}

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

h = \sqrt{(xy)}

Where,

h = the length of the altitude,

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Therefore, the length of the altitude = h = \sqrt{(14*8)}

h = \sqrt{112}

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3 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
ch4aika [34]

Answer: -258

<u>Step-by-step explanation:</u>

Given the sequence {-8, 16, -32, 64, ... , a₇} we know the following

  • the first term (a₁) = -8
  • the common ratio (r) = -2
  • the number of terms (n) = 7

Input the information above into the Sum formula:

S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_7=\dfrac{-8(1-(-2)^7)}{1-(-2)}\\\\.\quad =\dfrac{-8(1-(-128))}{1+3}\\\\.\quad =\dfrac{-8(129)}{4}\\\\.\quad =-2(129)\\\\.\quad =-258

3 0
3 years ago
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If ​f(x)=x^2- 4 and ​g(x)=x^2 plus 2 x​,
gregori [183]

Answer:

\huge\boxed{(f-g)\left(-\dfrac{1}{3}\right)=-3\dfrac{1}{3}}

Step-by-step explanation:

\text{We have}:\\\\f(x)=x^2-4\ \text{and}\ g(x)=x^2+2x\\\\(f-g)(x)=f(x)-g(x)\\\\\text{therefore}\\\\(f-g)(x)=(x^2-4)-(x^2+2x)=x^2-4-x^2-2x\\\\=(x^2-x^2)-2x-4=-2x-4\\\\(f-g)\left(-\dfrac{1}{3}\right)\to\text{put}\ x=-\dfrac{1}{3}\ \text{to the equation of the function}\ (f-g)(x):\\\\(f-g)\left(-\dfrac{1}{3}\right)=-2\left(-\dfrac{1}{3}\right)-4=\dfrac{2}{3}-4=-3\dfrac{1}{3}

6 0
3 years ago
Can someone simplify and explain how you did it?<br> -10+4(2b+2)=
emmasim [6.3K]
-10+2b+8
-2+8b+8
Calculated sum
-2+8b
Answer is -2+8b
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2 years ago
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