10
(i)
(ii)
Express 17 150 as a product of its prime factors in index notation.
[1]
Find the smallest integer n, such that 17 150n is a perfect square.
[1]
5x17150
It is given that
is a prime number. State all possible integer values of x.
(iii)
CTX 120167

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

the g.c.f is 44,46,

i not sure but hope it help

Answer:

George Washington 67 and sister 63

Answer: 28

Step-by-step explanation:

Let the present age of George be = x years

and present age of her daughter is = y years

4 years ago,

George age be = x - 4

Daughter age be = y - 4

After four years,

George age be = x +4

Daughter age be = y+ 4

Substitute the value of x in equation 2

➡

Value of y put in equation 1

➡x= 28

So, the present age of George is 28 years and his daughter's age is 4 years.

Step-by-step explanation:

steps are in the picture.

Note:if you need to ask question about it i am ready to give you answer.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Answer:

[tex]thank \: you[/tex]

[tex]6x - 10 = - 8 + 3x \\ 6x - 3x = - 8 + 10 \\ 3x = 2 \\ \\ x = \frac{2}{3} \\ \\ x = 0.6[/tex]

I hope I helped you^_^

Answer:

y=16

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Re-order terms so that constants are on the left

Divide both sides of the equation by the same term

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

y is 16

Step-by-step explanation:

[tex]4 = \frac{64}{y} [/tex]

but 64 is 4³:

[tex]4 = \frac{ {4}^{3} }{y} [/tex]

make y the subject:

[tex]y = \frac{ {4}^{3} }{4} [/tex]

from law of indices:

[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]

Answer:

CHEESE

Step-by-step explanation:

SKDMALSD

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

Each child receives

number of apples divided by number of children, that is

each child receives [tex]\frac{x}{y}[/tex] apples

Speed in km/h=111.6km/h

[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 111.6km/h[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 111.6\times \dfrac{5}{18}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow \dfrac{558}{18}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 31m/s[/tex]

Answer:

Step-by-step explanation:

We know that:

Convert:

here is answer, hope u understand:)

Answer:

25.6 feet

Brainliest, please!

Step-by-step explanation:

10/16 = 16/x

5/8 = 16/x

5 = 128/x

x = 128/5

x = 25.6

The floor of the new tent is 24 feet wide.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

Side of old tent = 10 feet,

And width of floor = 15 feet.

Let width of new tent is x feet.

To find the width of a tent whose side is 16 feet,

Use ratio and proportion property,

10/15 = 16/x

x = (16 × 15)/10

x = 240/10

x = 24 feet

The width of the floor of the new tent is 24 feet.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Answer:

8.24 is not a rational number

Step-by-step explanation:

The simple way to remember or find if the number is rational or not is that

* Rational numbers are always in the form of p/q and q should not be equal to zero

here u can even see 8.24 can be written as 8.24/0 so it is clearly showing that it is not a rational number

Answer:0.95833333333333.

Step-by-step explanation:

Which decimal is equal to the following fraction?

Answer: 0.95833333333333

Answer:

I need more information

Step-by-step explanation:

Jfjdkdjdjdndkdknskdd

Answer:

6, 24, 30, 48, 66

1, 4, 5, 8, 11

Step-by-step explanation:

Just by the first column we know that the scale ratio is 6. To find the second one we will multiply (6 * 4 = 24). To find the third one we will divide (30 / 6 = 5). To find the fourth one we will mulyiply (8 * 6 = 48). To find the fifth one we will divide (66 / 6 = 11).

Best of Luck!

Answer:

n= -2

Step-by-step explanation:

3(4n+5)=-7n-23

expand brackets

12n + 15 =-7n-23

collect like terms

12n + 7n= -23-15

19n= -38

dividing throughout by 19

19n/19=-38/19

n= -2

Answer:

n = -2

Step-by-step explanation:

3(4n+5)= -7n -23

Distribute the 3,

12n + 15 = -7n -23

subtract 15 from both sides,

12n = -7n -38

add 7n to both sides,

12n + 7n = -38

simplify,

19n = -38

divide both sides by 19,

n = -2

Answer: FH = 16

Concept:

Bisect means to cut or divide something into two equal parts.

In mathematics, usually bisect means cutting a segment or an angle.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

Given information

FG is 16 less than 3 times the length of GH

Let x be the length of GH

Given expression

FG = GH

Set equation

3x - 16 = x

Add 16 on both sides

3x - 16 + 16 = x + 16

3x = x + 16

Subtract x on both sides

3x - x = x + 16 - x

2x = 16

Divide 2 on both sides

2x / 2 = 16 / 2

x=8

--------------------------------------------------------------------------------------------------------------

Concept:

In order to find the length of FH, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

FG = GH = x

x = 8

Given expression deducted from the segment addition postulate

FH = FG + GH

Substitute values into the expression

FH = x + x

FH = 8 + 8

[tex]\boxed {FH=16}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

It is c: 15.625 cm³

Step-by-step explanation:

Formular for cube volumes:

[tex]{ \tt{volume = (side \times side \times side)}} \\ { \tt{v = (s_{1} \times s_{2} \times s_{3}) }}[/tex]

since sides of a cube are identical:

[tex]{ \sf{s_{1} = {s_{2} = {s_{3}}}}}[/tex]

Therefore:

[tex]{ \sf{volume = (250 \times 250 \times 250) \: mm {}^{3} }} \\ { \sf{v =15,625,000 \: {mm}^{3} }}[/tex]

but 1 mm³ = 0.000001 cm³

[tex]{ \sf{v = (15,625,000 \times \{1 \times {10}^{ - 6} \} ) \: cm}} \\ { \sf{v = 15.625 \: {cm}^{3} }}[/tex]

Answer:

11+x

Step-by-step explanation:

Let the number be x

11 more than the more will be

11+x

Answer:

832.42

Step-by-step explanation:

.12 per KWH x KWH = 99.89

KWH = 99.89/.12

KWH = 832.42 hours

Answer:

a = 1

Step-by-step explanation:

Adding 3 as x into the equation will give you 2(3) + y = 7.  3 x 2 = 6, so now the equation is 6 + y = 7.  

Now subtract 6 from both sides of the equation to get y by itself, so you'll have y = 1.

CHECK:

2(3) + 1 = 7

6 + 1 = 7

7 = 7 ⇆

Step-by-step explanation:

2x+y=7

2×3+y=7

6+y=7

y=7-6

y=1

Answer:

I think it is 20

step by step explanation

Multiples of 10:-

18 is closest to 20

Hence our answer is 20

Answer: 3.3 × 10⁹

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁴) × (1.1 × 10⁵)

Put like terms together

=3 × 1.1 × 10⁴ × 10⁵

Combine like terms

=3.3 × 10⁴⁺⁵

=[tex]\boxed{3.3*10^9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

3.3×10^9

Step-by-step explanation:

The distance between two points on the coordinate geometry is [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].

From the attachment, we have:

[tex]A = (20,35)[/tex] --- Arthur

[tex]J = (45,20)[/tex] -- Jamie

[tex]C = (65,40)[/tex] --- Cameron

The distance between Arthur and Cameron is:

[tex]AC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]AC = \sqrt{(20- 65)^2 + (35 - 40)^2}[/tex]

[tex]AC = \sqrt{2050}[/tex]

[tex]AC = 45.3m[/tex]

Hence, the distance between Arthur and Cameron is 45.3 m

To determine the closest to Cameron, we simply calculate the distance between Cameron and Jamie

[tex]CJ = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]CJ = \sqrt{(45 - 65)^2 + (20 -40)^2}[/tex]

[tex]CJ = \sqrt{800}[/tex]

[tex]CJ = 28.3m[/tex]

By comparison, 28.3 m is less than 45.3 m.

Hence, Jamie is closer to Cameron than Arthur

Also, we have:

[tex]S=(35,60)[/tex]

To determine the closest to the soccer ball, we simply calculate the distance between each person and the ball using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]AS = \sqrt{(20 - 35)^2 + (35 - 60)^2} = \sqrt{850} =29.2[/tex] --- Arthur

[tex]JS = \sqrt{(45 - 35)^2 + (20 - 60)^2} = \sqrt{1700} =41.2[/tex]  --- Jamie

[tex]CS = \sqrt{(65 - 35)^2 + (40 - 60)^2} = \sqrt{1300} =36.1[/tex] --- Cameron

By comparing the calculated values, 29,2 is the smallest.

Hence, Arthur is the closest to the soccer ball

Read more about distance at:

https://brainly.com/question/17207276

Answer:

[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]

same as we did for the other question,

5y=-x-20

then divide the 5

y= (-1/5)x-4