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2 years ago

3. What are the integer solutions of |x| = 24?

2 answers:

6 0

There are only two solutions. The two bars around x means absolute value, meaning the negative signs are ignored. That said, only 24 or -24 are possible solutions.

makkiz [27]2 years ago

3 0

$|x|=24\\\\x=24 \vee x=-24$

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A survey of 1950 people found that 39% preferred chocolate ice cream to vanilla. About how many people preferred chocolate ice c

FrozenT [24]

N(U) = 1950
39% of them preferred chocolate ice-cream.
Then,
no. Of people who preferred chocolate ice-cream= 39% of 1950
=39/100 *1950
= 760.5

6 0

3 years ago

Read 2 more answers

William is going to invest in an account paying an interest rate of 5.9% compounded

Valentin [98]

Answer:

$\$400.92$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=19\ years\\ A=\$1,230\\ r=5.9\%=5.9/100=0.059$

substitute in the formula above

$1,230=P(e)^{0.059*19}$

solve for P

$1,230=P(e)^{1.121}$

$P=1,230/(e)^{1.121}$

$P=\$400.92$

3 0

3 years ago

Help please!!!!!!!!!!!!!

kaheart [24]

Answer:

Step-by-step explanation:

6x3=18

8-3=5

6+1=7

7x5=35

35+18=53

I hope this helps!

5 0

2 years ago

A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

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2 years ago

What is the measure of XYZ?<br> A. 75°<br> B. 33<br> C. 54<br> D. 108

Oliga [24]

It's D. 108 • ___________

4 0

2 years ago

Read 2 more answers