All categories

3 years ago

How many 3/4 are there in 5 1/4

Mathematics

2 answers:

LiRa [457]3 years ago

8 0

There would be 7 because 5 1/4 is equal to 21/4 and the 3 in 3/4 times 7 would get you to 21/4 exactly

Zinaida [17]3 years ago

3 0

Answer:

Step-by-step explanation:

5 1/4= 5.25

3/4=.75

5.25/0.75=7

You might be interested in

What is the reciprocal of 17 1/2

Aneli [31]

Answer:

2/35

Step-by-step explanation:

If you convert 17 1/2 to a improper fraction, it becomes 35/2. Then to find the reciprocal, flip the numerator and denominator. So, 2/35

Hope this helps!

4 0

2 years ago

How much do you need in your account at the beginning?

Mariana [72]

50$ to start account in the bank if that what you needed

7 0

3 years ago

a tree casts a shadow 8 feet long. A 6-foot Man cast a shadow 4 feet long. The triangle formed by the tree and its shadow is sim

Elden [556K]

Answer:

12 feet

Step-by-step explanation:

Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.

Create a proportion to solve. Put the missing value in a numerator.

Tree height / Tree shadow = Man height / Man shadow

$\frac{x}{8} =\frac{6}{4}$

Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.

4x = 48 Divide both sides by 4 to isolate x.

x = 12 Height of tree

The tree is 12 feet tall.

4 0

3 years ago

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

<u>Solution 2:</u>

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

5 0

3 years ago

Matt plays a matching game. In order to advance to the next level, she must score at least 15 points. She scores 22 points for c

Eduardwww [97]

Sandra did not get enough points.

They needed 15, but got 22 and a -8 as well.
So 22-8 = 14

14<15

4 0

3 years ago

Read 2 more answers