Kiran’s aunt is 17 years older than Kiran. How old will Kiran’s aunt be when Kiran is 15 years old?

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

Answer:

5.73

Step-by-step explanation:

I hope that's help u

Answer:

5 11/15

Step-by-step explanation:

Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.

Answer:

the second one

Step-by-step explanation:

Answer:

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

g^2+g^2=24^2

2g^2=576

g^2=576/2

g^2=288

g=[tex]\sqrt{288}[/tex]

g=12[tex]\sqrt{2}[/tex]

Answer:

A: mArc M N + 150 = 180

Step-by-step explanation:

on edge2021!! hope this helps!!~

Answer:

Con cada depósito se pueden llenar 3,617.28 envases.

Step-by-step explanation:

Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:

3.14 x (12x12) x 20 = X

3.14 x 144 x 20 = X

452.16 x 20 = X

9,043.2 = X

9,043.2 / 2.5 = X

3,617.28 = X

Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.

Answer:

2.     4x + 5y = 20

Step-by-step explanation:

Determine the slope of each of the equations;

y = mx + c

where;

m is the slope

In each of the given equations, make y the subject of the formula

1. 5x + 4y = 20

       4y = 20 - 5x

         y = (20/4)  -  (5x/4)

         y = 5 - 5x/4

m = -5/4

2. 4x + 5y = 20

      5y = 20 - 4x

        y = 4 - 4x/5

m = -4/5 = -0.8

3. 5x - 4y = 20

        4y = 5x - 20

          y = 5x/4  - 5

m = 5/4

4. 4x - 5y = 20

          5y = 4x  -  20

            y = 4x/5  - 4

m = 4/5

The question says, which of the slope is greater than - 1 but less than 0

- 1 < m  < 0

The only equation with slope greater than -1 but less than 0 is 4x + 5y = 20, with slope -4/5 = -0.8

Answer:

We can conclude that the room temperature on Saturday was 24°C

Step-by-step explanation:

For a set of N values:

{x₁, x₂, ..., xₙ}

The mean of the set is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case, our set is the temperature of 7 days (so we have 7 elements)

{T₁, T₂, T₃, T₄, T₅, T₆, T₇}

Such that:

T₆ = temperature on Saturday

T₇ = temperature on Sunday.

We know that:

"The mean room temperature from Monday to Saturday is 25°C"

Then:

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]

"the mean room temperature of Saturday and Sunday is 28°C"

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

"The mean room temperature from Monday to Sunday is 26°C"

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]

So we have 3 equations.

Let's rewrite:

T₁ + T₂ + T₃ + T₄ + T₅ = A

Then we can rewrite our equations as:

[tex]\frac{A+ T_6}{6} = 25 C[/tex]

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]

Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:

A + T₆ = 6*25

T₆ + T₇ = 2*28

A + T₆ + T₇ = 7*26

We now need to solve that system for T₆

The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:

A = 6*25 -  T₆

A = 150 -  T₆

Now we can replace this on the other two equations:

T₆ + T₇ = 2*28

(150 -  T₆ ) + T₆ + T₇ = 7*26

Now, let's isolate T₇  in the top equation to get:

T₇  = 2*28 - T₆

T₇  = 56 - T₆

Now we can replace this in the last equation to get:

(150 -  T₆ ) + T₆ + (56 - T₆)  = 7*26

Now, we can solve this for T₆

150 - T₆ + T₆ + 56 - T₆ = 182

-T₆ = 182 - 150 - 56

-T₆ = -24

T₆ = 24

We can conclude that the room temperature on Saturday was 24°C

Answer:

C.

[tex] - \infty < y < \infty [/tex]

Hello there I hope you are having a Great day, Percentage increase = 36% × 170 =  36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)

Answer: 125

Step-by-step explanation: 5•5•5

Answer:

X + 9 = 21

Isolate the variable, meaning getting rid of the constants

-9         -9

X = 12

Answer:

12

Step-by-step explanation:

To get the answer 12 you must:

Subtract 21 - 9

That would get you your answer.

Hello there I hope you are having an great Day :)

1) 32780ml = 32.78

2) 37 1/2% of 24 = 9

Hopefully that helps you :)

Answer:

The probability that you will roll a 4 is 1/6

Step-by-step explanation:

A basic number cube has 6 sides.

Each side is marked by one of the numbers: 1, 2, 3, 4, 5, 6

The 4 is only on one out 6 of the sides so it is 1/6 probability

Please considering pressing the thank you button if it helped.

Answer: 28/53

Step-by-step explanation:

trust me bro

The ratio that represents the sine of ∠B is 15/17.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

With respect to ∠B given that  ∠D=90°,

BD is the adjacent side and CB  is the hypotenuse side, DC is the opposite side

Hence ,Sin B = 15/17

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Answer:

a

Step-by-step explanation:

To obtain f(b) substitute x = b into f(x) , that is

f(b) = 6(b) - 1 = 6b - 1

f(x) and f(b) are very similar. The only difference is that in every place where x is in the function, we now will plug in b. This is just like plugging in a number. For example, if our function was f(x) and we had to plug in 4, it might look something like this: f(4). Very similar, and we know how to plug that number in.

Let's do the same thing with b.

f(x) = 6x - 1

f(b) = 6b - 1

Hope this helps!! :)

Answer: X=6  Y=4

x+y= 10

6+4=10

 x-y=2

6-4=2

Answer:

x=6

y=4

Step-by-step explanation:

Use an elimination method:

add equation 1 and 2 together.

2x = 12

divide both side by 2

x = 12/2

x = 6

use equal 1,

x + y = 10

y = 10 - x

y = 10 - 6

y = 4

Answer:

The range is 8.

Step-by-step explanation:

The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.

9 - 1 = 8

Have a nice day!

and tell me if I am wrong.

Answer:

a. (-4,8)

Step-by-step explanation:

the two lines intersect at this point

Answer:

37/12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

1/2w + 3

w = 1/6

Step 2: Evaluate

[tex]1\frac{1}{2}[/tex] [tex]batches[/tex]

➛➛➛➛➛

[tex]\frac{1/2}{1} =\frac{3/4}{x}[/tex]

[tex]\frac{1}{2} =\frac{3}{4x}[/tex]

[tex]cross~multiply[/tex]

[tex]4x=2(3)[/tex]

[tex]\frac{4x}{4} =\frac{6}{4}[/tex]

[tex]x=\frac{3}{2} =1\frac{1}{2}[/tex]

Answer:

x = 16

Step-by-step explanation:

We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:

(Angle 1) + (Angle 2) = 180°

(8x - 10) + (62) = 180°

8x + 52 = 180

8x = 180 - 52

8x = 128

x = 16

Therefore, x = 16

Hope this helps!

Answer: Dime

Step-by-step explanation: A half-dollar coin is 50 cents. A quarter is worth 25 cents.

50 + 25 = 75 cents.

75 + 10 = 85 cents.

A half-dollar + a quarter + a dime = 85 cents.

I hope this helps!

Answer:

C) 150

Step-by-step explanation:

Answer:

368 square meter

Step-by-step explanation:

just guessing

Answer:368

I got it right

Answer:

47

Step-by-step explanation:

There are total 52 cards.

Certain number of cards are lost.

When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .

When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .

When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .

The common number among the three is 47.

Answer:

Step-by-step explanation:

c.

y= 30x² +44x +16

factor

y= 2 (15x² +22x +8)

find zeros

15x²+22x+8=0

ax²+bx+c=0

x= (-b±√(b²-4ac))/2a

x= -22±√484-480/30 = -22±2/30 = -11±1/15

there are 2 zeros x= -10/15 ; x= -12/15

d.

y= 10x² +60x +80

factor

y= 10(x²+6x+8) = 10( x+2)(x+4)

finding zeros

x+2 =0 so x= -2

x+4 =0 so x= -4

there are 2 zeros x= -2; x= -4

Answer:

5^13

Step-by-step explanation:

when multiplying numbers with the same base, you add the exponents

Answer:

5^13

Step-by-step explanation:

5^8 = 390625

5^5= 3125

Since you have to write you answer as a power you would do 5^8+5^5= 5^13

Answer:did u ever get it

Step-by-step explanation:

Answer:

m<A = 84

AC = 9

Step-by-step explanation:

We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.

48+48+A=180

96+A=180

A=84

We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.