All categories

4 years ago

A large container has a maximum capacity of 64 ounces The container is filled with 8 ounces less than its maximum capacity

Mathematics

2 answers:

Fed [463]4 years ago

7 0

64-8=56 ounces..............................

alexdok [17]4 years ago

4 0

Answer:

56 oz

Step-by-step explanation:

64-8=56

You might be interested in

A square building with an area of 225 m2 has a garden surrounding it that has an equal width on all sides. The area of the garde

xenn [34]

Answer:

The width of the garden is 1.16 m

Step-by-step explanation:

step 1

<em>Find the area of the garden</em>

To find out the area of the garden multiply by 1/3 the area of the building

$225(\frac{1}{3})=75\ m^2$

step 2

Find the length side of the square building

The area of a square is

$A=b^2$

where

b is the length side of the square

we have

$A=225\ m^2$

$b^2=225\\b=15\ m$

step 3

Find the width of the garden

Let

x ----> the width of the garden

we know that

The area of the building plus the area of the garden is equal to

$(15+2x)^2=225+75$

solve for x

$225+60x+4x^2=225+75\\4x^2+60x-75=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=1.16 m

see the attached figure

therefore

The width of the garden is 1.16 m

Find the exact value

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$4x^2+60x-75=0$

$a=4\\b=60\\c=-75$

substitute in the formula

$x=\frac{-60\pm\sqrt{60^{2}-4(4)(-75)}} {2(4)}$

$x=\frac{-60\pm\sqrt{4,800}} {8}$

$x=\frac{-60\pm40\sqrt{3}} {8}$

$x=\frac{-60+40\sqrt{3}} {8}\ m$ ----> exact value

8 0

3 years ago

monday through friday ms.carter ran a total of 25.5 miles.lf she ran the same number of miles all 5 days, how many miles did she

777dan777 [17]

Divide total miles by total days:

25.5 miles / 5 days = 5.1 miles per day.

7 0

4 years ago

Read 2 more answers

Se quieren repartir 21 chocolates entre 4 chicos en partes iguales y sin que sobre nada, cuantos chocolates recibira cada uno?

Klio2033 [76]

Answer: Cada chico recibira 5.25

3 0

3 years ago

Sheila has a bag of 40 marbles. 10 of them are blue, 12 of them are green and the rest of them are red. What is the probability

Schach [20]

Answer:

Step-by-step explanation:

8 0

3 years ago

A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete

Mice21 [21]

Solution: The solution is shown is below figure.

Explanation:

From the given information JKLM is a parallelogram and $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ . So Blank 1 is filled by Given and blank 2 is filled by $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ .

Parallelogram is a quadrilateral whose opposite sides are equal or parallel. Since it is given that JKLM is a parallelogram, therefore the side JM is parallel to the side KL. So blank 3 filled by Definition of parallelogram.

If a line bisects an angle it is means it divides the angle in two equal parts. Since $\underset{LN}{\rightarrow}$ bisects $\angle KLP$ , therefore $\angle 2\cong \angle 3$ . Hence the blank 4 is filled by Definition of bisect.

The transitive property of congruence states that if $\angle 1\cong \angle 2$ and $\angle 2\cong \angle 3$ , then $\angle 1\cong \angle 3$ . Thus, the blank 5 is filled by Transitive Property of Congruence.

5 0

4 years ago