Two thirds of a 3kg cake was shared among Arun and his friends. How much cake is left in grams?

Answer:

No, that equation can be not be simplified any further.

Answer:

4yards

Step-by-step explanation:

[tex] \rm \mapsto \: {5}^{2} = {3}^{2} + {x}^{2} \\ \rm \mapsto \: 25 = 9 + {x}^{2} \\ \rm \mapsto \: {x}^{2} = 25 - 9 \\ \rm \mapsto \: {x}^{2} = 16 \\ \rm \mapsto \: x = \sqrt{16} \\ \rm \mapsto \: x = 4yards[/tex]

Answer:

144 ft² is your answer

hope it helps...

Answer:

6/10 if its talking about Manny and Emma together, 3/10 if it separate. Simplified would be 3/5 and 3/10

Step-by-step explanation:

Lilly ate 4/10 sections. 10 - 4 is 6. so there are 6 sections left for them to eat.

Answer:

9+- 1.7

Step-by-step explanation:

Kahn

The required possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
Assuming that the sample means and sample standard deviation were calculated from the data, a possible 90% confidence interval for the population means battery life can be calculated using the t-distribution.

For example, if the sample mean is 15 hours and the sample standard deviation is 3 hours, with a sample size of 6 and a 90% confidence level, the t-interval would be:

t-interval = sample mean ± t*(sample standard deviation / √(sample size))

where t is the t-value with (sample size - 1) degrees of freedom and a 90% confidence level.

Using a t-table, the t-value for 5 degrees of freedom and a 90% confidence level is approximately 2.571. Plugging in the values, we get:

t-interval = 15 ± 2.571*(3 / √(6))

t-interval ≈ (10.95, 19.05)

Therefore, a possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.

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Answer:

I believe you multiply 18 and 6 so most likely your answer is 108 because 18 x 6 is 108

Answer:

8

Step-by-step explanation:

[tex]\frac{18}{36} = \frac{x}{16}[/tex]     x = 8

Answer:

A unit rate is a rate with 1 in the denominator.

Step-by-step explanation:

I didn't even read the question correctly sorry

Step-by-step explanation:

Answer:

There are six $5 bills and nine $10 bills

Step-by-step explanation:

x= $5 bills

y= $10 bills

x+y=15

5x+10y=120

5x+10(15-x)=120

5x+150-10x=120

-5x= -30

x=6 so y=9

Answer:

$10 = 5  $5 = 11  $1 = 122

Step-by-step explanation:

5 x 10 = 50

5 x 11 = 55

1 x 122 = 122

50 + 55 + 122 =

227

Hope this helps!

Answer:

B

Step-by-step explanation:

since rye bagels come first after plain bagels, rye bagel is 13 & plain bagel is 8 so 13:8 is the answer!

Answer:

-7-17i

Step-by-step explanation:

Answer:

-7-17i

Step-by-step explanation:

See image below:)

the mean, median and interquartile range

Answer:

Step-by-step explanation:

Answer:

405 in^2

Step-by-step explanation:

Given data

Height= 27in

Circumference= 47.1 in

let us find the radius and the diameter of the base of the cylinder

from

C=2πr

47.1= 2*3.142*r

47.1= 6.284r

r= 47.1/6.284

r= 7.5 in

Diameter= 2r

D= 7.5*2

D= 15in

Hence the area of the cross-section

=H*D

=27*15

=405 in^2

Answer:

B

Step-by-step explanation:

that's just what I got, I apologize if it's wrong!

Answer:

It's D. 90ft squared

Step-by-step explanation:

The equation for the surface area of an rectangular prism is 2(lw+lh+wh)

l=length

w= width

h=height

Answer:

The answer for Acellus people is  9.8

Step-by-step explanation:

The missing side of Right triangle will be [tex]9.8[/tex].

Right triangle is a triangle in which one angle is of [tex]90^0[/tex].

We have,

Hypotenuse [tex]=18[/tex] cm

Perpendicular [tex]=x[/tex] cm

One of the angle [tex]=33^0[/tex]

So,

Using the Trigonometric angles,

[tex]Sin33^0=\frac{Perpendicular}{Hypotenuse}[/tex]

So,

[tex]Sin33^0=\frac{x}{18}[/tex]

⇒

[tex]x=18*Sin\ 33^0[/tex]

So,

[tex]x=9.8[/tex]

The missing side is [tex]9.8[/tex] .

Hence, we can say that the missing side of Right triangle will be [tex]9.8[/tex].

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Answer:

3. 4x^2y

Step-by-step explanation:

The GCF of 36 and 14 is 4.

The GCF of x^2y and x^2y^2 is x^2y

Multiply the two GCF and you get 4x^2y

Answer:

Side of the square:

Area of the square:

Radius of each circle:

Area of each circle:

Area of all circles:

Area of shaded region:

Answer:

1.11

Step-by-step explanation:

35 + 24 = 59

22 + 31 = 53

59 ÷ 53 ≈ 1.11

Have a good day :)

Answer:

(3x^2) - 8x

Step-by-step explanation:

A = length x width

A = x(3x-8) *Distribute*

A = (3x^2) - 8x

Answer:

(2,4)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I think this was the question you were talking about.

Answer:

586.7 ft^3

Step-by-step explanation:

1) find the base area

base area = radius^2 x pi = 7.6^2 x pi = 181,458392 ft^2

2) find the volume

V = (base area x height)/3 = (181,458392 x 9.7)/3 = 586.7 ft^3

Answer: 150.02 m

Step-by-step explanation:

Given

The height of building A is 125 m

the angle of elevation to the top of building B is [tex]18^{\circ}36'[/tex]

and the angle of depression of the base of Building B is [tex]39^{\circ}48'[/tex]

Suppose the width of the street is x

from the figure, we can write

[tex]\Rightarrow \tan (39^{\circ}48')=\dfrac{125}{x}\\\\\Rightarrow \tan (39.8^{\circ})=\dfrac{125}{x}\\\\\Rightarrow x=\dfrac{125}{\tan 39.8^{\circ}}\\\\\Rightarrow x=150.02\ m[/tex]

Thus, the width of the street is [tex]150.02\ m[/tex]

Answer:

23

Step-by-step explanation:

........................

Answer:

(10111)2 = (23)10

Step by step solution

Step 1: Write down the binary number:

10111

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x24 + 0x23 + 1x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x16 + 0x8 + 1x4 + 1x2 + 1x1 = 16 + 0 + 4 + 2 + 1

Step 4: Add up the numbers written above:

16 + 0 + 4 + 2 + 1 = 23.

So, 23 is the decimal equivalent of the binary number 10111.

Answer:

y = 4x^2 + 5 has the narrowest graph.

Step-by-step explanation:

The larger the coefficient of x^2 is, the narrower the graph will be.  Thus:

y = 4x^2 + 5 has the narrowest graph.

Answer:-74

Step-by-step explanation: When you are in the megatives, less is more! So -74 is actually greater then -75

Given:

Line KJ represents a proportional relationship.

Point K lies at (12,14).

To find:

The ordered pair of the coordinates of point J.

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

Where, k is the constant of proportionality.

It means, the ratios of y to x for all the point in a proportional relationship are same.

Line KJ represents a proportional relationship. Point K lies at (12,14).

So, the constant of proportionality is:

[tex]k=\dfrac{14}{12}[/tex]

[tex]k=\dfrac{7}{6}[/tex]

Similarly, find the ratio of y to x for all given points.

In option a,

[tex]\dfrac{3.5}{3}=\dfrac{3.5\times 2}{3\times 2}[/tex]

[tex]\dfrac{3.5}{3}=\dfrac{7}{6}[/tex]

In option b,

[tex]\dfrac{15}{17.5}=\dfrac{15\times 2}{17.5\times 2}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{30}{35}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{6}{7}[/tex]

In option c,

[tex]\dfrac{0}{2}=0[/tex]

In option d,

[tex]\dfrac{3}{3.5}=\dfrac{3\times 2}{3.5\times 2}[/tex]

[tex]\dfrac{3}{3.5}=\dfrac{6}{7}[/tex]

The ratio of y to x of point (3,3.5) is equal to the ratio of given point K(12,14). So, the coordinates of point J are (3,3.5).

Therefore, the correct option is A.

Answer:

Step-by-step explanation:

If we're asked to use any positive value. It means we could have a wide variety of answer. A positive value of k that makes the equation 20k to be less than 20, yet greater than zero has to be any decimal value or a fraction, if you so wish.

As an example, if k is 0.5. Then we have

20k = 20 * 0.5 = 10, which is less than 20 and greater than zero

Again, if k is 0.9. Then we have

20k = 20 * 0.9 = 18, which is less than 20 and greater than zero.

So, you use any decimal number greater than 0, yet less than 1