The first week of January, there are
49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cats remains the same. The last week of January, there are 20 cats in the shelter. How many dogs are there? S

35 dogs

Step-by-step explanation:

Ratio of dogs to cats in first week of January

= 49 : 28

Ratio of dogs to cats in last week of January

= ? : 20

Let the unknown number of dogs for last week be Z

Thus, 49/28 = Z/20

To get the value of Z, cross multiply

49 x 20 = 28 x Z

980 = 28Z

Divide both sides by 28

980Z/28 = 28/28

Z = 35

Thus, there were 35 dogs in the animal shelter during the last week

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)