Which arrangement shows - 31 -4.7, -4, and 3 in order from least to greatest?

One 8-ounce can of soda has 228 calories. If Shaun drinks the big 28-ounce size from the local mini-mart, how many calories wil

Rama09 [41]

Answer:

324.7 calories

6 0

3 years ago

Read 2 more answers

Simplify:9-1÷2÷27^2÷3

sammy [17]

First let's calculate the exponents.

$27^2 : 729 = 9-1\div \:2\div \:729\div \:3$

Now we should multiply and divide.

$1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}$

Now we should add and subtract.

$9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}$

Convert the improper fractions into mixed numbers.

$8\frac{4373}{4374}$

Answer :

$8\frac{4373}{4374}$

5 0

3 years ago

Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.

NISA [10]

281.25 is the answer i think

5 0

3 years ago

Please Help! My question is in the picture.

Varvara68 [4.7K]

First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.

Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4

Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
$a_{n} = \frac{1}{4} a_{(n-1)}$

Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2

Final answer:
Recursive rule
$a_{n} = \frac{1}{4} a_{(n-1)}$
a₁ = 2

4 0

3 years ago

Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif

sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

Solution:

To compare, all the distances must be in the same unit, for example feet.

a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet

b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet

c. Orlando, Florida, to Tampa, Florida, is 446,160 feet

d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet

e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet

Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet

With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km

Then the order is:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

6 0

3 years ago