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sesenic [268]
2 years ago
8

Last month Kim trained 3 times as many dogs as cats. If the total number of cats and dogs she trained last month is 28, how many

cats did Kim train?
Mathematics
1 answer:
olga55 [171]2 years ago
8 0
<span>The total number (n) = 28. This includes the number of cats (c) and the number of dogs (d), which is three times the number of cats. Therefore n = c + d and 28 = c + 3c. 28 = 4c. C = 28/4. C = 7. Kim trained 7 cats.</span>
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If 3a + 2b = 7 and 2a + 2b = 9 , what is the value of
Simora [160]
Hey there :)

We have two equations:
3a + 2b = 7 
2a + 2b = 9

We need to solve simultaneously to find the values of a and b

eq.1    3a + 2b = 7
eq.2 ( 2a + 2b = 9 ) x -1  ) multiply by -1 to cancel 2b

  3a + 2b = 7
- 2a - 2b = -9         ( Add both together )
-------------------
   a = - 2 

Substitute the value you found for a in a in order to find b

3( - 2 ) + 2b = 7                                                     2( - 2 ) + 2b = 9 
- 6 + 2b = 7                                    OR                  - 4 + 2b = 9
2b = 13                                                                   2b = 13        
b = \frac{13}{2}                                                                 b = \frac{13}{2} 

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3 years ago
Please help ASAP show work^
Art [367]

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For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm
Paraphin [41]

The ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

<h3>Ratio of the areas of similar figures </h3>

From the question, we are to determine the ratio of the area of the<u> first figure</u> to the area of the <u>second figure</u>

<u />

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of <u>two similar polygons</u> is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

(\frac{14 \ mm}{7 \ mm})^{2}

= \frac{196 \ mm^{2} }{49\ mm^{2} }

=\frac{4}{1}

= 4:1

Hence, the ratio of the area of the <u>first figure</u> to the area of the <u>second figure</u> is 4:1

Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446

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2 years ago
For non zero X and Y if X + Y = 0 then​
S_A_V [24]
Either X or Y is negative. One has to be
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2 years ago
Given z1 = 1+i and z2 = 2+3i.
Margaret [11]

Answer:

(a) w=2+5i-6=-4+5i

Multiplicative inverse of w will be \frac{1}{-4+5i}

(B) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

z_1=1+i and z_2=3+2i

(a) First we have to find w=z_1z_2

So w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2

As we know that i^2=-1

So w=2+5i-6=-4+5i

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be \frac{1}{-4+5i}

Because when we multiply -4+5i with \frac{1}{-4+5i} it gives result as 1

(b) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

4 0
3 years ago
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