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RUDIKE [14]
3 years ago
11

When Janice is 20 years old; her brother is half her age. When Janice is 30 years old; how old is her brother?

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0
20 years old
Her brother
Ludmilka [50]3 years ago
5 0
When Janice was 20, her brother was 10.

Since the age between them will always be 10 years,

30-10= 20

When Janice is 30, her brother is 20.

I hope this helps!
~cupcake
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Find the length of AB
aniked [119]
FIRST QUESTION
Given points are:
A(2, -4)  and B(6, 2)
Now,  Use the distance formula.
distance formula = \sqrt{  (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2}  }
 
Now, plug the values into the formula, So,
distance  = \sqrt{  (6- 2)^{2} + ( 2 - (-4))^{2}  }
               
                = \sqrt{  (6- 2)^{2} + ( 2 +4))^{2}  }
    
                = \sqrt{  (4)^{2} + ( 6))^{2}  }
 
                = \sqrt{ 16+36}
 
                = \sqrt{52}
  
               = 2 \sqrt{13}

So, the length of AB is 2 \sqrt{13}.




<span>THIRD QUESTION
</span>Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = (\frac{  x_{1}+ x_{2}   }{2} , \frac{ y_{1}+ y_{2}  }{2} )
        
(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )


Now, equaling the ordered pair, we have,

1=\frac{ 3+ a }{2}  .............equation (1)   

1=\frac{ -2+b }{2}  ................equation (2) 

Now, taking equation (1)
1=\frac{ 3+ a }{2}

1*2=3+a

2-3=a

a=-1

Now, taking equation (2)
1=\frac{ -2+b }{2}

1*2=-2+b

2+2=b

b=4

<span>So, the co ordinates of C are (a, b) which is <u>(-1 , 4)



</u></span>
<span>SECOND QUESTION:
</span>Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
y = 2 + 2
y = 4

So, x=1 and y=4

6 0
3 years ago
Is 0.3 greater that 0.15
valentina_108 [34]

Answer:

yes

Step-by-step explanation:

Simplifying then comparing both terms 0.3and 0.15, 0.3 is greater than

0.15, which means that the first term is greater than the second term.

8 0
3 years ago
Read 2 more answers
(05.06)A chocolate bar measures 40 mm wide, 80 mm long, and 5 and 1 over 2 mm high. Will’s Wrapping Company is making a wrapper
photoshop1234 [79]

Answer:

Will’s Wrapping Company needs 7,720 mm2 of paper to wrap the chocolate bar.

Step-by-step explanation:

we know that

The amount of paper needed to make the wrapper is equal to the surface area of the chocolate bar

The surface area of a rectangular prism (chocolate bar) is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of he prism

In this problem we have

L=80\ mm\\W=5\frac{1}{2}\ mm=5.5\ mm\\H=40\ mm

<em>Find the area of the base</em>

B=LW=(80)(5.5)=440\ mm^2

<em>Find the perimeter of the base</em>

P=2(L+W)=2(80+5.5)=171\ mm

<em>Find the surface area</em>

SA=2(440)+171(40)\\SA=7,720\ mm^2

5 0
3 years ago
Tracy works at the Pizza Place. She earns $4.50 an hour plus tips. Last week, she earned a total
sweet [91]

Answer:

She work <u>23 hours</u>.

Step-by-step explanation:

Given:

Tracy works at the Pizza Place. She earns $4.50 an hour plus tips.

Last week, she earned a total  of $156.00, of which $52.50 was tips.

Now, to find the number of hours she work.

Total salary  = $156.00

Amount of tips = $52.50.

So, first we deduct the amount of tips from the total salary:

\$156.00-\$52.50\\=\$103.50.

<em>Thus, the remaining salary = $103.50.</em>

As, given salary she earns an hour = $4.50.

And then, to get the number of hours she work last week by dividing $103.50 the remaining salary by $4.50:

103.50\div 4.50

=23\ hours.

Therefore, she work 23 hours.

8 0
3 years ago
Which of the following is the accurate APA format for writing out the bragger condition main effect result for the willingness o
Rama09 [41]

Answer:

First, the main effect for bragger condition is significant because F statistic is F(1,116) = 68.65 with p value = 0.000, which is less than 0.001

mean and standard deviation for truthful Bragger condition are 6.83 and 1.14

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5 0
3 years ago
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