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kozerog [31]
2 years ago
15

A bag contains 12 hair bows: 5 red, 4 white and 3 blue. Jo Jo

Mathematics
1 answer:
Vladimir [108]2 years ago
5 0

Answer:

Step-by-step explanation:

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What is the diameter?
Usimov [2.4K]

Answer:

13

Step-by-step explanation:

7 0
2 years ago
Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10
djyliett [7]
To factor both numerator and denominator in this rational expression we are going to substitute n^{2} with x; so n^{2} =x and n ^{4} =  x^{2}. This way we can rewrite the expression as follows:
\frac{n^{4}-11n^{2} +30 }{n^{2}-7n^{2} +10 } =  \frac{ x^{2} -11x+30}{ x^{2} -7x+10}
Now we have two much easier to factor expressions of the form a x^{2} +bx+c. For the numerator we need to find two numbers whose product is c (30) and its sum b (-11); those numbers are -5 and -6. (-5)(-6)=30 and -5-6=-11.
Similarly, for the denominator those numbers are -2 and -5. (-2)(-5)=10 and -2-5=-7. Now we can factor both numerator and denominator:
\frac{ x^{2} -11x+30}{ x^{2} -7x+10} = \frac{(x-6)(x-5)}{(x-2)(x-5)}
Notice that we have (x-5) in both numerator and denominator, so we can cancel those out:
\frac{x-6}{x-2}
But remember than x= n^{2}, so lets replace that to get back to our original variable:
\frac{n^{2}-6 }{n^{2}-2 }
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is n^{2} -2 \neq 0
n^{2}  \neq 2
n \neq +or- \sqrt{2}
5 0
3 years ago
Read 2 more answers
A cylinder can hold 450 inches of water. How many cubic inches of water can a cone that has a congruent base and equal height to
Paladinen [302]

Answer:

150 cubic inches of water

Step-by-step explanation:

volume of a cylinder = πr²h

Volume of a cone 1/3(πr²h)

π  = 22/7

r = radius

volume of a cone = \frac{1}{3} x Volume of a cylinder

450 / 3 = 150 in³

7 0
3 years ago
what are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? the figures ar
Alla [95]
We know that

a) find <span>the ratio of the perimeters 
</span><span>
the ratio of the perimeters is equal to the scale factor
</span>scale factor=26/6-----> 13/3
the answer Part a) is
the ratio of the perimeters is 13/3

b) find <span>the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]</span>²*area smaller figure
scale factor²=area larger figure/area smaller figure

the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9

the answer Part b) is
169/9

the complete answer is
13/3 and 169/9
6 0
2 years ago
What is the product of (5y-3)^2
Airida [17]

Answer:

\sf 25y^2-30y+9

___________

\sf Solve

  • Expand the expression using the factors within the range of <em>y</em>.

___________

5 0
2 years ago
Read 2 more answers
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