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pickupchik [31]

2 years ago

11

Serena worked 18 hours last week for a landscaper. She worked 1/3 of those hours planting flowers and 1/2 of those hours mowing

lawns. How many hours did Serena work planting flowers?

1 answer:

Flura [38]2 years ago

5 0

Answer: 6 hours

Step-by-step explanation:

18 ÷ 3 = 6 hours :)

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If i purchase a product for $79.99 and two accessories for 9.99 and 7.00 how much will i owe after taxes applies 8.75%

ehidna [41]

Answer:

The price will be $105.47

Step-by-step explanation:

Given that i purchase a product for $79.99 and two accessories for $9.99 and $7.00. we have to find how much will i owe after taxes applies 8.75%

Now, the cost price of the product and the two accessories will be

$79.99+$9.99+$7.00

= $96.98

Now, also the tax applies at the rate 8.75%

∴ $Tax=8.75\%\thinspace of\thinspace96.98$

= $8.48575=8.49(approx)$

Hence, the price which i owe after taxes will be $96.98+$8.49=$105.47

8 0

1 year ago

The width of a rectangle is the length minus 2 units. The area of the rectangle is 35 units. What is the width, in units, of the

Andrews [41]

Answer: width = 5 units

Step-by-step explanation:

Let L represent the length of the rectangle.

The width of a rectangle is the length minus 2 units. It means that the width of the rectangle is (L - 2) units.

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the rectangle is 35 units. It means that

L(L - 2) = 35

L² - 2L = 35

L² - 2L - 35 = 0

L² + 5L - 7L - 35 = 0

L(L + 5) - 7(L + 5) = 0

L - 7 = 0 or L + 5 = 0

L = 7 or L = - 5

Since the length cannot be negative, then

L = 7 units

Width = 7 - 2 = 5 units

6 0

2 years ago

The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the sa

Aleksandr [31]

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

3 0

1 year ago

Let v⃗ 1=⎡⎣⎢⎢⎢0.50.50.50.5⎤⎦⎥⎥⎥, v⃗ 2=⎡⎣⎢⎢⎢0.50.5−0.5−0.5⎤⎦⎥⎥⎥, v⃗ 3=⎡⎣⎢⎢⎢0.5−0.5−0.50.5⎤⎦⎥⎥⎥. v→1=[0.50.50.50.5], v→2=[0.50.5−0

Morgarella [4.7K]

Answer:

can you post a question that actually has the right graphics

Step-by-step explanation:

6 0

2 years ago

What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes.

Juliette [100K]

Answer:

(2,1)

Step-by-step explanation:

We can see that the given triangle.

The coordinates of A are (-1,5) .

The coordinates of B are (-1,-3).

The coordinates of C are (5,-3).

Distance formula: $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

AB= $\sqrt{(-3-5)^2+(-1+1)^2}=8$ units

BC= $\sqrt{(5+1)^2+(-3+3)^2}=6$ units

AC= $\sqrt{(5+1)^2+(-3-5)^2}=10$ units

Pythagoras theorem: $(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2}$

$AB^2+BC^2=8^2+6^2=100$

$AC^2=(10)^2=100$

Therefore, $AC^2=AB^2+BC^2$

When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.

Hence, the given triangle is a right triangle.

We know that circum-center of right triangle is the mid point of hypotenuse.

Mid-point formula: $x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

Using this formula then, we get

Mid-point of hypotenuse AC is given by

$x=\frac{-1+5}{2}=2,y=\frac{5-3}{2}=1$

Hence, the circum-center of triangle is (2,1).

7 0

1 year ago