You have 60 red socks and 30 blue socks unpaired in a drawer. You can not see the socks, they are in a drawer and it is dark. What is the minimum number of socks that you have to pull out before you have a matching pair?

Answers

Answer 1
Answer: It doesn't matter how many of each color there are. 

If there are two colors in the drawer, then if the first two are not a pair,
then the third sock you pull out must match one of them.

So ... pulling out two could give you a pair, and three always must.

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Based on the drawing, Which can be used to prove PQR ≅ STV?1. SSS
2. SAS
3. ASA
4. AAS

Answers

Answer:

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Step-by-step explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS  (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus,  PQR ≅ STV  ( SAS CRITERION)

For SAS criterion , we need to show that two sides and the angle between those sides are equal .

Thus, option (2) is correct.


Answer:

SAS

Step-by-step explanation:

GIVEN: PR ≅ SV (side)

GIVEN: ∠R ≅ ∠V (angle)

GIVEN: QR ≅ TV (side)

True or false questions basic math1.the total surface area of a cube each of whose edges is 12 inches long is 6 square feet

2.if the tank in a car holds 15 gallons of gasoline, the volume of the tank is one cubic foot

3.two cones have equal height. if the base of one cone is a circle and the base of the other cone is a square, the two cones cannot have equal volumes

4.the diameter of the moon is approximately one-fourth the diameter of earth, hence the volume of the moon is one-fourth the volume of earth.

each of these questions are true or false.. could use the help tonight please

Answers

Answer:

1. True

2. False

3. False

4. False

Step-by-step explanation:

1. It is true because12 inch is equal to 1 feet, so the area of each side of the cube is 1 square feet, adding the 6 sides of the cube you have a surface area of 6 square feet.

2. It is false because 7.5 gallons is equal to 1 cubic foot.

3. It is true because both cones have equal height but the fact that the bases are different make the volume different.

4. Is false because when you calculate the volume of a sphere you have to raise the radius (half the diameter) to the cube, so there is not a direct relation.

1. False
2. False
3. True
4. False

and #3 if you think about it is kind of a trick question. If the base of the "cone" is a square than its not a cone to begin with. It would be a square pyramid.

Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges Joe a simple interest rate of 4 percent?

Answers

Answer:

Sam would earn $18.00 from Joe.

Step-by-step explanation:

Joe borrowed $900 from Sam for six months. Sam charges simple interest at the rate of 4%.

In this question we have to find out Interest  for 6 months with this formula.

I = Prt

I = Interest

P = Principal ( $900 )

r = rate of interest ( 4% ) in decimal

t = time in years. (1/2 yrs.)

first we convert 4% in decimal form.

4% = (4)/(100) = 0.04

I = 900 × 0.04 × (1)/(2)

I = 36 × (1)/(2)

I = $18.00

Sam would earn $18.00 from Joe.

simple interest
you can charge it monthly or yearly

find 4% and multiply by how many months or years
4% of 900=
0.04 times 900=36
that is each time the interst is added

if it is monthly, (6months so ) 6 times 36=216
if it is yearly (6months=1/2year so )6 times 1/2=3


if it is taken monthly, then Sam earns $216
if it is taken yearly, then Sam earns $3

64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44

Answers

4(a-44)=64
a-44=16
a=60
Sarah is 60 years old. 
Hope this helps. 

Answer:

60

4(a-44)=64

Step-by-step explanation:

Miriam has 62 feet of fencing to make a rectangular vegetable garden. Which dimensions will give Miriam the garden with greatest area.

Answers

Given: 
62 feet of fencing = perimeter

P = 2 (L + W)

62/2 = 31
16 + 15 = 16 * 15 = 240 ft²
17 + 14 = 17 * 14 = 238 ft²
18 + 13 = 18 * 13 = 234 ft²
19 + 12 = 19 * 12 = 228 ft²
20 + 11 = 20 * 11 = 220 ft²

The best dimensions that will give the greatest area is to have a length of 16 feet and a width of 15 feet.

Whole numbers between 63 and 101

Answers

Answer:

64,81,100

Step-by-step explanation:

Answer: 64,81 and 100

Step-by-step explanation: 8^2=64, 9^2=81 and 10^2=100