You have been asked to build a scale model of your school out of toothpicks imagine your school is 30 feet tall Your scale is 1 ft: 1.26 cm

Answers

Answer 1

Answer: The height of your school's scale model would be 37.8 cm tall. You would just have to multiply 1.26 by 30, because your school is 30 ft tall.

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Three quarters of the boats in the marina are white. 4/7 of the remaining boats are blue, and the rest are red. If there are 9 red boats, how many boats are in the marina?

Answers

Answer: 84

Step-by-step explanation:

Let the total number of boats on the marina be x.

Then, The number of white boats= $(3)/(4)x$

then the remaining boats= $x-(3x)/(4)=(x)/(4)$

Now, 4/7 of the remaining boats are blue.

Thus, the number of blue boats= $(4)/(7)*(x)/(4)=(x)/(7)$

The rest of the boats (red boats)= $(x)/(4)-(x)/(7)=(7x-4x)/(28)=(3x)/(28)$

The number of red boats=9

Thus,

$(3x)/(28)=9\n\Rightarrow\ x=(28*9)/(3)\n\Rightarrow\ x=84$

The total number of boats in the marine = 84

There are 84 boats in the marina

Further explanation

Fraction numbers are known as numerator and denominator

On a number line, fractions are expressed in points that lie between two integers

The general form of fractions is

$\large{\boxed{\bold{(a)/(b)} }$

a = numerator

b = denominator

Mixed fractions consist of whole number and proper fractions

There are a number of steps in adding fraction operations

1. the denominators must be the same, if not then

a. Multiply top and bottom of each fraction by the denominator of the other. or

b. we can use Least Common Denominator which is the smallest of all the common denominators.

2. Add the numerators and put over the denominator

3. Simplify the fraction

There are several steps to multiply fractions

1. Multiply the numerators
2. Multiply the denominators
3. Simplify the fraction

Three quarters of the boats in the marina are white

we translate this sentence into equation:

Let x = total boats

$\displaystyle white~boat=\boxed{(3)/(4)x}$

$(4)/(7)$ of the remaining boats are blue

$\displaystyle remaining~boat=x~-(3)/(4)x=(1)/(4)x$

$\displaystyle blue~boat=(4)/(7)*(1)/(4)x=(4)/(28)x=(1)/(7)x$

total boats

$\displaystyle total~boats=x=(3)/(4)x+(1)/(7)x+9$

Because the denominator is not the same, so we can use both multiplying or least common denominator.

let we use least common denominator:

List multiples of 7: 7, 14, 21,28,...

List multiples of 4: 4, 8, 12, 16, 20,24,28, ...

the smallest number that is the same: = 28

then addition operation becomes :

$\displaystyle (21)/(28)x+(4)/(28)x+9=x$

$\displaystyle (25)/(28)x+9=x$

$\displaystyle (3)/(28)x=9$

$\large{\boxed{\boxed{\bold{x=84}}}$

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Keywords : boats, marina, fractions

NEED THIS NOW PLZ!!!Heather manages a company that currently has 35 employees, e, and is gaining 5
new employees each month. Which equation below can be used to determine the
total, T, number of employees 4 months from now?
A: T = 5e +35
B: T = 35e + 5
C: T = 4e + 5
D: T= 5e + 4

Answers

Answer:

Step-by-step explanation:

We know that 35 employees are currently at the company and this is constant. If the employees, e, increases by a factor of 5 each month for 4 months. Therefore the equation should be :

$T=4\cdot{e}+5$

The equation only accounts for the employee total increase after 4 months

Answer:c T = 4e + 5

Step-by-step explanation:

According to the table, how many people got 8 or more hours of sleep? A. 8

B. 9

C. 14

D. 17

Answers

I believe the answer is 17.

the ratio of the dimensions of a rectangular patio are 4:7. If the shorter dimension is 10 feet, what are the area and perimeter if the patio?

Answers

4:7
shorter is 10
4<7
4=10 units
2=5units
1=2.5units

we need to find what 7 is
7 times 2.5=17.5

area=legnth times width
legnth=17.5
width=10
area=17.5 times 10=175

perimiter=2(L+W)
perimiter=2(17.5+10)
P=2(37.5)
P=75

AREA= 175ft^2
PERIMITER=75 ft

A gallon has a volume of 231 cubic inches. If a gallon of milk was sold im a perfectly cubical container, to the nearest tenth of an inch how high would the container be? A. 6 inches

B. 6.1 inches

C. 6.2 inches

D. 6.3 inches

Answers

Answer:

B. 6.1 inches

Step-by-step explanation:

You find third square root of 231 $\sqrt[3]{231}$

I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David.

Vernon says he can drive 25 miles east, then 25 miles west and be back in his original position. Is Vernon correct? Why or why not?

Answers

Answer:

if Vernon drove in a straight line then yes because east is the opposite of west

Step-by-step explanation:

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