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Ilia_Sergeevich [38]
3 years ago
5

Alicia sells bracelets b for $5 each, and necklaces n for $10 each. In one day she sells 15

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

5b+n=100,6+10n=15 that's all

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the frame of a picture is 28 cm by 32 cm outside and is of uniform width.What is the width of the frame if 192 cm2 of the pictur
natita [175]

Answer:

The width of the frame is equal to 8\ cm  

Step-by-step explanation:

Let

x-------> the width of the frame picture

we know that

(28-2x)(32-2x)=192    

896-56x-64x+4x^{2} =192

4x^{2}-120x+704=0  

Simplify

x^{2}-30x+176=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}-30x+176=0

so

a=1\\b=-30\\c=176

substitute in the formula

x=\frac{30(+/-)\sqrt{(-30)^{2}-4(1)(176)}} {2(1)}

x=\frac{30(+/-)\sqrt{196}} {2}

x=\frac{30(+/-)14} {2}

x=\frac{30+14} {2}=22\ cm  ----> this solution is not logic

x=\frac{30-14} {2}=8\ cm  

The width of the frame is equal to 8\ cm  

8 0
4 years ago
Find the volume of this square<br> based pyramid.<br> 5ft<br> 6 ft<br> [? ]ft
Sav [38]

Answer:

48 ft³

Step-by-step explanation:

To find the height, you can use the slant height and the base.

Using the Pythagorean Theorem and 3 as the triangle's base,

a²+b²=c²

3²+b²=5²

9+b²=25

b²=16

b=4

The height of the pyramid is 4.

Volume formula for the pyramid is \frac{1}{3} *b*h

Inserting our measurements:

\frac{1}{3} *6*6*4=\\2*6*4=\\12*4=\\48

5 0
4 years ago
The size of a computer monitor is usually measured along the diagonal. An 18-in. rectangular monitor has a height of 9 in. What
stiv31 [10]
You would use the Pythagorem Theory which is a^2 + b^2 = c^2
the diagonal being c and it doesn't matter how you substitute tho other either a or b. the answer is 15.588 or 15.6 inches
7 0
3 years ago
Read 2 more answers
What is the area of the figure?<br> Enter your answer in the box.<br> in2
Dafna1 [17]
110^in2 is what I got
7 0
3 years ago
3.5 × 4 brainliest...
arlik [135]

Answer:

14

Step-by-step explanation:

14

7 0
3 years ago
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