How many boxes of potatoes are left

Jacob and issac decided to run to the basketball court after school the basketball court is 5 1/4 Miles from school the boys run

GenaCL600 [577]

Answer: $1\dfrac{5}{9}\text{ minutes}$

Step-by-step explanation:

Complete question is provided in the attachment below.

Given: Jacob and Issac decided to run to the basketball court

Distance between basketball court and school = $5\dfrac{1}{4}$ miles

$=\dfrac{21}{4}$ miles

Speed = $3\dfrac{3}{8}$ miles per hour

$=\dfrac{27}{8}$ miles per hour

Since, time = (distance) ÷ ( speed)

Now, the time taken by boys to arrive at the basketball court = $\dfrac{21}{4}\div\dfrac{27}{8}$ hours

$=\dfrac{21}{4}\times\dfrac{8}{27}\\\\=\dfrac{7\times2}{9}=\dfrac{14}{9}\\\\=1\dfrac{5}{9}\text{ minutes}$

Hence, the required length of time = $1\dfrac{5}{9}\text{ minutes}$

3 0

3 years ago

27 divided by N has a remainder of 3. How many different positive integers could n be?

myrzilka [38]

Solving this question will involve basic division knowledge.

The different positive integer values of n are; 4,6,8,12,24

From knowledge on division, we know that when 27 is divided by N and we have 3 as remainder, we can express it as;

$\frac{27}{n}$ = quotient + $\frac{3}{n}$

Now let us rearrange to get;

$\frac{27}{n}$ - $\frac{3}{n}$ = quotient

this gives;

$\frac{24}{n}$ = quotient

Now to get how many positive integers can be n, it means all positive values of the quotient must be positive integers as well.

Factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24

Thus, the possible positive integers will come from this list.

But we can't make use of 1,2,3 as possible values of n because when we divide with 27, we will get either an exact value or 1 as the remainder.

Thus the possible positive integer values of n are; 4,6,8,12,24

Read more at; brainly.in/question/20088076

3 0

3 years ago

Read 2 more answers

an equilateral triangle and a regular pentagon have the same perimeter. Each side of the pentagon is 3 inches shorter than each

klemol [59]

The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5

6 0

3 years ago

WORTH 99 POINTS!

Ksivusya [100]

The general formula for the lateral surface area of a regular pyramid is:
$A= \frac{1}{2} *p*l$
Where:
p=perimeter of a base
l=slant height

a.
a=3ft
l=4ft
p=5*a=5*3=15ft
$A= \frac{1}{2} *15*4=30 ft^{2}$

b.
a=2.5ft
l=4ft
p=6*a=6*2.5=15ft
$A= \frac{1}{2} *15*4=30 ft^{2}$

c.
a=1.9ft
l=4ft
p=8*a=8*1.9=15.2ft
$A= \frac{1}{2} *15.2*4=30.4 ft^{2}$

d.
Based on a lateral surface area the blue umbrella is best choice. But, the best umbrella overall is the one with the greatest base area. General formula for regular polygon is:
$A= \frac{1}{4} *n* a^{2}*cot( \frac{180}{n} )$

For pentagon:
A=15.48ft^2
For hexagon:
A=16.24ft^2
For octagon:
A=17.43ft^2
Blue umbrella is still best choice.

8 0

3 years ago

Read 2 more answers

Find x for each of these triangles please

notka56 [123]

Answer:

8) 10°

9) X can not be determined.

10) 10°

11) 12 units.

Step-by-step explanation:

8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.

So, 6x = 60°

⇒ x = 10°.

9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.

So, 6x - 5 = 6x

So, x can not be determined from this equation.

10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°

Hence, 3x = 30°

⇒ x = 10°

11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.

Again, ∠ X is given to be 60°.

Therefore, each angle is 60°.

So, the triangle XYZ is equilateral, and each side will be equal.

So, 3x + 8 = 4x - 4

⇒ x = 12 units. (Answer)

3 0

3 years ago