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2 years ago

Write an expression using distributive property that can be used to find the quotient 56 divided by 4

1 answer:

4 0

(50/4) + (6/4) is the answer that you are looking for. All you do is break up the number that you are going to divide into easy-to-divide numbers.

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A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn

bija089 [108]

Answer:

$\frac{3}{20}$

Step-by-step explanation:

Fraction of the total that is for corn (TC - Total corn):

$TC=\frac{1}{4}$

fraction of the corn section that is for white corn (WC - white corn in the corn seccion):

$WC=\frac{3}{5}$

we need to find the fraction of the whole field that is for the white corn.

For this we need to find how much is $\frac{3}{5}$ out of the $\frac{1}{4}$ destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn ( $\frac{1}{4}$ ) by the fraction of white corn in the corn section ( $\frac{3}{5}$ ).

I will call the total fraction of white corn TWC, thus:

$TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}$

the answer is: $\frac{3}{20}$ of the whole field is planted with white corn

5 0

2 years ago

Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes

Ivan

Answer:

14.86 knots.

Step-by-step explanation:

<em>Given that:</em>

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2 $\times$ 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 $\times$ 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled $\triangle AOB$ .

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units$

so, the total distance between the two boats is 74.28 units.

Change in distance per hour = $\dfrac{Total\ distance}{Total\ time}$

$\Rightarrow \dfrac{74.28}{5} = 14.86\ knots$

6 0

2 years ago

Mr. Santos is carpeting his living room. The room measures 21 feet by 15 feet. The carpeting costs $9 per square foot. How much

MariettaO [177]

To solve this problem you must apply the proccedure shown below:
1- You have that the area of the living room is:
A=lw (Area of the rectangle); where l is the lengt and w is the width.
A=(21 feet)(15 feet)
A=315 feet²
2- The cost is:
Cost=315 feet²x$9
Cost=$2835
The answer is: He will need 315 feet² and it will cost $2835

6 0

2 years ago

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRo

Lera25 [3.4K]

Answer:

Option A.

Step-by-step explanation:

The given expression is

$\dfrac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}$

where, $y\neq 0$ .

We need to find the expression which is equivalent to the given expression.

The given expression can be rewritten as

$\dfrac{(x^2)^{\frac{1}{7}}}{(y^3)^{\frac{1}{5}}}$ $[\because \sqrt[n]{x}=x^{\frac{1}{n}}]$

$\dfrac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}$ $[\because (a^m)^n=a^{mn}]$

$x^{\frac{2}{7}}y^{-\frac{3}{5}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

Therefore, the correct option is A.

8 0

2 years ago

Read 2 more answers

The points (–5, 6) and (5, 6) are vertices of a hexagon. The line segment joining the two points forms one of the sides of the h

xxTIMURxx [149]

The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.

Look at the point's x and y coordinates:

First point:

x = -5, y = 6

Second point:

x = 5, y = 6

You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.

To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:

5 - (-5) = 5 + 5 = 10

The answer will be the following statement:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

5 0

2 years ago

Read 2 more answers