Shubham, Ashish, and Vinay participated in a long jump competition on their sports day. Shubham jumped 41 m 2 , while Ashish jumped 3 m less than Shubham. On the 4 other hand, Vinay jumped 11m more than Ashish. How 4 long was Vinay's jump?

Answer:

[tex] 3\frac{5}{6} [/tex]

solution,

[tex]5 \frac{3}{4} \div 1 \frac{1}{2} \\ = \frac{5 \times 4 + 3}{4} \div \frac{2 \times 1 + 1}{2} \\ = \frac{20 + 3}{4} \div \frac{2 + 1}{2} \\ = \frac{23}{4} \div \frac{3}{2} \\ = \frac{23}{4} \times \frac{2}{3} \\ = \frac{23}{6} \\ = 3 \frac{5}{6} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

23/6=3 5/6

Step-by-step explanation:

5  3/4=(4*5+3)/4=23/4

1 1/2=(2*1+1)/2=3/2

23/4:3/2=23/4*2/3=23*2/4*3=23/2*3=23/6

Answer:

y=-6x+1

Step-by-step explanation:

Answer:

y = 5x + 8

Step-by-step explanation:

If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.

5x - y = 4 and solving for y:

-y = -5x + 4 and solving for positive y:

y = 5x - 4

So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:

y - (-2) = 5(x - (-2)) and

y + 2 = 5(x + 2) and

y + 2 = 5x + 10 so

y = 5x + 8

Answer:

a = -1

b = 1

Step-by-step explanation:

Step 1: Isolate x's

x² + 2x = -2

Step 2: Complete the Square

x² + 2x + 1 = -2 + 1

(x + 1)² = -1

Step 3: Move everything to 1 side

(x + 1)² + 1 = 0

And we have our answer.

Answer:

A=1 and b=1

Step-by-step explanation:

Answer: 450 watches

Step-by-step explanation:

Given the following :

Let Initial number of watches = n

Total number sold in January and February = 342

Total sold in march = 25% of (n - 342) = 0.25(n - 342) = 0.25n - 85.5

Total watches left = 18% of n = 0.18n

Therefore,

Initial number of watches = (watches left + total watches sold)

n = 0.18n + (0.25n - 85.5) + 342

n = 0.18n + 0.25n - 85.5 + 342

n = 0.43n + 256.5

n - 0.43n = 256.5

0.57n = 256.5

n = 256.5 / 0.57

n = 450

n = Initial number of watches = 450

Answer:

n=-5

Step-by-step explanation:

y^5*y^n= y^5+n when multiply , add exponents

y^5+n/y^2= y^(5+n)-2 divide, subtract exponents

y^(5-5-2) =y^-2

Answer:

4(7+3)

Step-by-step explanation:

28 and 12 are both divisible by 4.

28 ÷ 4 = 7

12 ÷ 4 =  3

Answer:

4(7+3)

Step-by-step explanation:

4(7) = 28

4(3)= 12

28+12=28+12

Hope this helps!

Answer:267.9 in³? Dk if it's right or wrong, forgive me.

Answer:

V = 267.9 in.³

Step-by-step explanation:

Diameter reduced by half = 16/2 = 8 inches

Radius = 4 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 4

=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]

=> V = 804.2/3

=> V = 267.9 in.³

Answer:

f = 10, g = 4.8 cm

Step-by-step explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where Area = 12 cm², Base = 4 cm

12 = [tex]\frac{1}{2}(4)(Height)[/tex]

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, AD is parallel and equal to BC[tex](f)[/tex]

So,

f = 10 cm

Now, Finding g

Area of ABCD = [tex]Base * Height[/tex]

Where Area = 48 cm², Base = 10 cm

48 = 10 * Height

Height = 48/10

Height = 4.8 cm

Whereas, Height is g

So, g = 4.8 cm

Answer:

A

Step-by-step explanation:

the triangles share one angle and they have two equal sides

Answer: a.) (3x +1)(2x +3)

Step-by-step explanation:

The factors that work to get the middle term, 11x, are 3×3x = 9x and 1×2x=2x. 2x +9x = 11x

Answer:

[tex]C =8t+16\\7\ hours[/tex]

Step-by-step explanation:

Given that, Fixed charge = $16

Per hour charge for renting the bike = $8/hour

To find:

If Matt paid $72 to rent a bike, for how many hours did he rent the bike?

Solution:

Let 't' be the time for which Matt rents the bike.

1 hour charge for the bike rent = $8

't' hour charge for the bike rent = $8 [tex]\times t[/tex]

Total Charge for the bike = Charge for renting the bike for t hours + fixed charge

Let 'C' be the total charge, so the equation becomes:

[tex]C = 8t + 16[/tex]

Given that C is $72, we need to find t:

[tex]72 = 8t+16\\\Rightarrow 8t=72-16\\\Rightarrow 8t=56\\\Rightarrow t = 7\ hours[/tex]

So, he rented the bike for 7 hours.

The equation is: [tex]C = 8t + 16[/tex]

Answer:

24

Step-by-step explanation:

4m = 4 * m = 4 * 6 = 24

Answer:

2,451 inches.

Step-by-step explanation:

Formula for volume of a cylinder = V=πr2h

r = 13 inches

h = 30 inches

π=22/7 or 3.14

V = 3.14 × 13 × 2 × 30

= 2,451.43

Answer is 2,451.43

Answer:

23

Step-by-step explanation:

87=x+(x+12)+(x-3)

87=3x+9

3x=78

x=26

This is Colin's age. Caroline is 3 years younger than Colin, so she is the youngest, and we need to find her age. Subtract 3 from 26, and you get your final answer, 23.

Answer:

p=50t

Step-by-step explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t

Answer:

x=8.5

y=-3.5

Step-by-step explanation:

lets say  x=5-y

substituting x in the other equation gives -3(5-y)+2y=5

-15+3+2y=5

2y=5+15-3

2y=17

y=8.5

from equation 1    : x+8.5=5

x=5-8.5

x=-3.5

Answer:

Please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment...

The answer that line of best fit, how many toys were sold 13 days after the store opened is A.) 195

Step-by-step explanation:

v = 1/3πr²h

1/3×314/100×4×4×7

11,722.666round off

11722.67

formula =v= 3.14×radius×radius ×height ×3

Step-by-step explanation:

pie×radius×squared ×7×3

=117.29

when we round it to the nearest hundredth

its=117.29m squared

Answer:

C

Step-by-step explanation:

Answer:

The correct answer to the following question will be Option B (15).

Step-by-step explanation:

The given values is:

LN = 30 cm

Although the diagonals of that same rhombus bisects or bend one another, this implies that P seems to be the midpoint of both the LN.

So that,

⇒  [tex]LP=\frac{1}{2}\times LN[/tex]

On putting the estimated value, we get

⇒        [tex]=\frac{1}{2}\times 30[/tex]

⇒        [tex]=15[/tex]

Therefore, Option B seems to be the appropriate one.

Answer:

Here,

The length of an arc of a sector with theta nag radius'r' is:

[tex] \frac{theta}{360} 2\pi \: r[/tex]

CD=?

Radius=7.9 cm

theta=66.4

Length of CD

[tex] \frac{66.4}{360} \times 2 \times \pi \times 7.9 \\ = \frac{66.4}{360} \times 2 \times 3.14 \times 7.9 \\ = 9.1506 \\ = 9.2 \: cm[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

B; Subconjunto

Step-by-step explanation:

Aquí, se nos pide que seleccionemos el término que define un conjunto con sus elementos que pertenecen a un conjunto más grande.

La respuesta correcta es que el conjunto más pequeño es un subconjunto del conjunto más grande.

Esto significa que el conjunto más pequeño es parte del conjunto más grande, lo que lo convierte en una subdivisión del conjunto más grande

Answer:

There are 26 students in the class

Step-by-step explanation:

Let n millilitres be the solution in the beaker

Let x be the number of students in a class

He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.

So, Solution distributed = 3x

Remaining solution = n-3x

So, n-3x = 5 ----1

In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.

So, n-4x=-21 -----2

Substitute the value of n from 1 in 2

So, 5+3x-4x=-21

5-x=-21

26=x

Hence There are 26 students in the class

Answer:

(x+1)(2x+3)=0 is the answer

Step-by-step explanation:

2x²+5x=-3

2x²+5x+3=0

2x²+3x+2x+3=0

x(2x+3)+1(2x+3)=0

(x+1)(2x+3)=0

i hope this will help you :)

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2

Step-by-step explanation:

C=2×pi×r

8.61=2pi*×r

8.61÷2pi=13.52 radius

A=pi×r^2

pi×13.52^2=574.25 area

Answer:

b=1/4a+1

Step-by-step explanation:

Step 1: Add -2b to both sides.

2a+6b−4+−2b=3a+2b+−2b

2a+4b−4=3a

Step 2: Add -2a to both sides.

2a+4b−4+−2a=3a+−2a

4b−4=a

Step 3: Add 4 to both sides.

4b−4+4=a+4

4b=a+4

Step 4: Divide both sides by 4.

4b/4 = a+4/4

b=1/4a+1

Please mark brainliest

Hope this helps.

Answer:

the answer is A

Step-by-step explanation:just took the test

Answer:

Circumference

(22÷7)×14.7×2 = 92.4cm

Answer: 57°

Step-by-step explanation:

Bisecting makes angle ZXY=ZXW. So 58+58=116.

Then solve. 2x+2=116.

2x=114

x=57