Find the smallest part when £80 is
shared in the ratio 7:3

Answer:

D

Step-by-step explanation:

Because neither Mr. Kim nor anyone else is picking the people of a specific group when the paper is drawn from the bag. And rolling a cube with numbers 1-6 you almost never get the number you want so it is really random. And then after the groups are picked they roll the die and then that number is crossed off so it is not used again with the other groups.

Answer:

  (a)  135

  (b) 28%

Step-by-step explanation:

We can write equations relating pears to oranges, solve them, and then find the number of apples. Let p, o, and 'a' represent the numbers of pears, apples, and oranges.

  p/o = 5/3 . . . . . the ratio of pears to oranges is 5:3

  p -o = 54 . . . . . there are 54 more pears than oranges

  a -o = 3 . . . . . .  there are 3 more apples than oranges

__

Multiply the first equation by 3/5o to get ...

  3/5p = o

Substitute that into the second equation:

  p -(3/5)p = 54

  2/5p = 54 . . . . . . simplify

  p = 54(5/2) = 135 . . . . multiply by 5/2 to get the number of pears

There are 135 pears in the basket.

__

  a = 3 +o = 3 +3/5p = 3 +3/5(135) = 3 +81 . . . . solve for the number of apples

  a = 84

The percentage of fruits that are apples is ...

  apples/total = 84/(135 +81 +84) = 84/300 = 28/100 = 28%

  28% of the fruits are apples

Answer:

80 cm

Step-by-step explanation:

(5 x 8) x 2

40 x 2

80 cm

Answer:

80cm

Step-by-step explanation:

5x8=40x2=80cm

Answer:

x - 2y = 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x + 3y =9

substitute y with 2/3x as mentioned in the question

so,

-x+3 (2/3x) = 9

cancelling 3 we get..

-x+2x=9

x=9

hope it helps

thanks

Answer:

y = 6

Step-by-step explanation:

- x + 3y = 9 ( add x to both sides )

3y = 9 + x → (1)

y = [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3y = 2x → (2)

substitute 3y = 2x into (1)

2x = 9 + x ( subtract x from both sides )

x = 9

substitute x = 9 into (1)

3y = 9 + 9 = 18 ( divide both sides by 3 )

y = 6

Answer: 1/2

Step-by-step explanation:

Scale factor:

model/real-life = 5/10 = 1/2

Answer:

10 1/2x + 126 sq. feet

Step-by-step explanation:

Area = length × width

length = 12 + x

width = 10 1/2

(12 + x)(10 1/2)

126 + 10 1/2x

Answer:

C. 7

Step-by-step explanation:

Points J and K are midpoints of the sides of triangle FGH.

=> JK = 1/2FG

2y + 5 = 1/2(5y + 3)

4y + 10 = 5y + 3

5y - 4y = 10 - 3

y = 7

The value of y is 7 for the given triangle.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

We know that GJ = JH, and HK = KF.

Also, J and K are midpoints of GH and HF, respectively.

Therefore, we can say that:

GJ + JH + HK + KF = GF

2(GJ + HK) = GF

2(2y + 5) = 5y + 3

4y + 10 = 5y + 3

y = 7

Therefore, the value of y is 7.

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Answer:

He would of saved 455$

Step-by-step explanation:

Because for 4 weeks he saved 35% of 200$ which would be 70 and 70+70+70+70 is 280$ and then he saved 175 dollars on the 5th week because 7/8 of 200 is 175 so 280+175= 455

I hope this helps!

Answer:

D

Step-by-step explanation:

it reflects

Answer:

D

Step-by-step explanation:

i think the answer is D.it is just guess

[tex]\qquad \textit{Centroid of a Triangle} \\\\ \left(\cfrac{x_1+x_2+x_3}{3}~~,\cfrac{y_1+y_2+y_3}{3}~~ \right)\quad \begin{cases} F(\stackrel{x_1}{1},\stackrel{y_1}{5})\\\\ G(\stackrel{x_2}{-2},\stackrel{y_2}{7})\\\\ H(\stackrel{x_3}{-6},\stackrel{y_3}{3}) \end{cases} \\\\\\ \left( \cfrac{1-2-6}{3}~~,~~\cfrac{5+7+3}{3} \right)\implies \left( \cfrac{-7}{3}~~,~~\cfrac{15}{3} \right)\implies \left( -2\frac{1}{3}~~,~~5 \right)[/tex]

Answer:

my answer is 2x+ 3y=22 because that the answer

Amy has 10 candies.

Jack has 30 candies.

1 out of 4 is Amy's

3 out of 4 is Jack's

Amy's = 1/4×40=10

Jack's = 3/4×40=30

Answer:

860 miles

Step-by-step explanation:

172 miles per hour x 5 hours = 860 miles

Answer:

860 miles

Step-by-step explanation:

172 x 5 = 860

the shark has moved 172 miles in one hour, so to figure out how far it has traveled in 5 you can multiply the speed by the time.

Answer:

Andre scored 14 points

Step-by-step explanation:

We make an equation describing the problem:

x + 9 = 5 + 9

x = 14

We compare Noah and Andre by doing:

2x + 10

and x = 5

This means Diego scored 5 points.

The polynomials [tex](x^{2} +x-1)[/tex] and [tex](x^{4} -3x^{2} +4x-3)[/tex] has a quotient of[tex](x^{2} +x-3)[/tex]. The polynomial is [tex](x^{2} +x-1)[/tex].

What is Euclid's division lemma?

Euclid's division lemma states that for any positive integers, let's say a and b the condition [tex]\rm a=bq+r[/tex], where [tex]\rm 0\leq r\leq b[/tex].

Mathematically, we can say that

Dividend = divisor × quotient + remainder

P(x) = g(x) × q(x) + r(x)

To find the divisor g(x)

[tex]x^{4} -3x^{2} +4x-3= \rm g(x)\times (x^{2} +x-3) + r(x)\\[/tex]

On dividing P(x) by q(x) we get,

[tex]x^{4} -3x^{2} +4x-3 \div (x^{2} +x-3) = \rm g(x)+0[/tex][tex](x^{2} +x-3) \times (x^{2} +x-1)\div (x^{2} +x-3) = \rm g(x)\\(x^{2} +x-1) = \rm g(x)\\[/tex]

Hence, the polynomials [tex](x^{2} +x-1)[/tex] and [tex](x^{4} -3x^{2} +4x-3)[/tex] has a quotient of [tex](x^{2} +x-3)[/tex]. The polynomial is [tex](x^{2} +x-1)[/tex].

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Approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.

A geometric series is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed constant. This constant is called the common ratio, and it is denoted by the letter "r".

The formula for the sum of the first n terms of a geometric series is:

S_n = a(1 - rⁿ)/(1 - r)

where S_n is the sum of the first n terms, a is the first term of the sequence, r is the common ratio, and n is the number of terms in the series.

The number of grains of wheat on each square of the board can be found by raising 2 to the power of the square number minus 1. For example, the number of grains of wheat on the first square is 2⁰ = 1, the number on the second square is 2¹ = 2, the number on the third square is 2² = 4, and so on.

So, the total number of grains of wheat on the board is the sum of 2⁰ + 2¹ + 2² + ... + 2⁴⁸. This is a geometric series with first term 1 and common ratio 2. Using the formula for the sum of a geometric series, the total number of grains of wheat is:

2⁰ + 2¹ + 2² + ... + 2⁴⁸ = (2⁴⁹ - 1)/(2 - 1) = 2⁴⁹ - 1

This is approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.

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Answer:

Multiply

3

by

−

1

.

(

x

+

3

i

)

(

x

−

3

i

)

A convex pentagon has interior angles that measure 60, 80, 120, and 140. What is the measure of the fifth interior angle?

Given -

To Find -

Solution -

Let us assume fifth interior angle as x

We know,

Sum of interior angles of a pentagon is 540°

60° + 80° + 120° + 140° + x° = 540°

→ 400° + x° = 540°

→ x° = 540° - 400°

→ x = 140°

Fifth interior angle of a pentagon = 140°

[tex] \rule{185pt}{7pt}[/tex]

Answer:

Step-by-step explanation:

1.5x-0.5 should be the answer

Answer:

How to solve your problem

Step-by-step explanation:

1.1    x2 multiplied by x1 = x(2 + 1) = x3

Final result

 y6x3

Answer:

use Pythagoras to find diameter of circle.

use half of diameter as radius to find area of circle.

subtract area of square from area of circle.

the steps are very simple so I didn't want to waste time drawing it out. added a photo outlining each step for you. feel free to ask if you need a step explained

Answer:

19 feet tall

Step-by-step explanation:

Answer:

0.0250610597014925

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

½*b*h

Step-by-step explanation:

½*base*height