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Sunny_sXe [5.5K]
3 years ago
11

For questions 5-6: Readand solve each problem. Be careful these could be surface area or volume problems. Show your work. (2 poi

nts each) A sandbox in the shape of a rectangular prism measures 11 feet by 7.5 feet by 1.5 feet. Find the maximum amount of sand the box can hold.
Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

hope the file helps

Step-by-step explanation:

Download pdf
You might be interested in
The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
3 years ago
Si una empresa obtiene un préstamo de S/3000 a seis años de plazo, con una tasa de interés compuesto del 15 % anual capitalizabl
Debora [2.8K]

Answer:

VF= $3.281,42

Interes= 3.281,42 - 3.000= $281.42

Step-by-step explanation:

Dada la siguiente información:

Prestamo (P)= $3.000

Tasa (i)= 0,015/2= 0,0075

Cantidad de periodos (n)= 6*2= 12 semestres

<u>Para calcular el valor final del prestamos, tenemos que usar la siguiente formula:</u>

VF= P*(1 + i)^n

VF= 3.000*1,0075^12

VF= $3.281,42

Interes= 3.281,42 - 3.000= $281.42

8 0
3 years ago
Which value would be a solution for × in the inequality 47-4×&lt;7
Bad White [126]

Step-by-step explanation:

47-4x<7

-4x<7-47

-4x<-40

x>(40÷4)

x>10

6 0
3 years ago
Jessica wants to make tarts. To make tarts, she needs ¾ of a cup of flour per batch of tarts. If Jessica has 9 cups of flour, th
Paul [167]

Answer:

108

Step-by-step explanation:

Jesicca wants to make tarts

She uses 3/4 cup of flour per batch

Jessica has 9 cups of flour hence the number of batches she will make can be calculated as follows

= 9÷ 3/4

= 9÷ 0.75

= 12

= 12×9

= 108

Hence Jessica will make 108 batches of tart

4 0
3 years ago
PLEASE HELP ME SOLVE
kirill115 [55]

The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28 minutes .

In the question ,

it is given that

the time taken to vacate the stadium = 20 minutes

number of exits = 25 exits

capacity of the stadium = 25000 spectators .

given that ,

time taken to exit the stadium varies directly with number of spectators and inversely with the number of exits .

time taken ∝ number of spectators ∝ 1/number of exits .

to remove the proportionality sign , we write the constant

time taken = k * (number of spectators)/(number of exits) .

20 = k * 25000/25

20 = k * 1000

k = 20/1000

k = 2/100

k = 1/50 = 0.02

So, to find the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional , we use the formula

time taken = (0.02)*(21000/15)

= 0.02*1400

= 28

Therefore , The time taken for 21000 spectators to vacate the stadium , if only 15 exits are functional is 28  minutes .

Learn more about Equation here

brainly.com/question/23633125

#SPJ1

5 0
1 year ago
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