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2 years ago

How many 2-digit numbers are multiples of 7 or 5

Mathematics

1 answer:

wolverine [178]2 years ago

4 0

Answer:

Use the prime factorization:

7 * 5 * 1 = 35

7 * 5 * 2 = 70

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A towns population went from 25800 to 42600 in 15 years. What was the percent of change

Novay_Z [31]

42600-25800=16800
16800/15=1120
42600*x=100*1120
x=112000/42600=2.62%

4 0

3 years ago

a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago

Can someone help me with this math homework please!

TEA [102]

Answer:i dont know

Step-by-step explanation:

4 0

3 years ago

Madeline sold 200 tickets for a charter flight to Dallas. Some paid $200 for their tickets and some paid

4vir4ik [10]

Answer:

Let x = number of regular tickets sold.

Let y represent the number of student tickets sold.

12x+8y≤100012x+8y≤1000

x+y≥200x+y≥200

12x+8y≤20012x+8y≤200

x+y≤200x+y≤200

12x+8y≥1000

hope this helps

Step-by-step explanation:

8 0

2 years ago

One parent is a cystic fibrosis carrier, and the other has

Marysya12 [62]

Answer:

A - 0%

B- 50%

C- 50%

D- 100%

Step-by-step explanation:

Cystic fibrosis is inherited in an autosomal recessive form, meaning that a person has to inherit two abnormal genes for the disease to manifest. In the case of this question, one parent is a gene carrier, so his genotype is Aa, while the other does not have the cystic fibrosis gene, so AA.

Performing the cross of Aa x AA, we can see that:

a.) The probability of a child would have cystic fibrosis is 0%, since the disease is recessive and to be affected it should receive a recessive gene from each parent.

b.) The probability of a child would be a carrier is 50%, as 50% of the crossing phenotypes are Aa.

c.) The probability of a child would not have cystic fibrosis and is not a carrier is 50%, as 50% of the child's genotype is AA.

d.) The probability of a child would be healthy is 100%, as of all possible phenotypes none is affected.

5 0

3 years ago