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3 years ago

A pan of brownies is 7/10 full. Tyreese buys 2/5 of the brownies. What fraction of a whole pan of brownies does Tyreese buy?

Mathematics

1 answer:

DaniilM [7]3 years ago

4 0

4/10 of the pan. reason: 2/5 =4/10

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There are 60 animal exhibits at the local zoo. What percent of the zoo's exhibits does each animal class represent?

snow_lady [41]

Answer:

30+15+12+3= 60

for mammal 30/60=0.50%

reptile 15/60=0.25%

fish 12/60= 0.20%

bird 3/60=0-05%

i hope that helps

8 0

3 years ago

The volume of a triangular prism is increased by a factor of 8.

Jet001 [13]

Answer:

Step-by-step explanation:

when all the lengths are multiplied by x (length scale factor), the volumes are multiplied by x³ (volume scale factor).

∴ when volume scale factor = 8

the length scale factor = ∛8 = 2

while When all the lengths are multiplied by x (length scale factor), the areas are multiplied by x² (surface area scale factor).

∴ when the length scale factor = 2

the surface area scale factor = 2² = 4

6 0

3 years ago

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Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an

Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as $V=g(x)$ , where $g(x)=x(6-2x)(8-2x)$ and $0\le x\le3$ .

Expand the function to obtain:

$g(x)=4x^3-28x^2+48x$

Differentiate wrt x to obtain:

$g'(x)=12x^2-56x+48$

To find the point where the maximum value occurs, we solve

$g'(x)=0$

$\implies 12x^2-56x+48=0$

$\implies x=1.13,x=3.54$

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

$g''(x)=24x-56$ , $g''(1.13)=24(1.13)-56=-28.88\:$

This means the maximum volume occurs at $x=1.13$ .

Substitute $x=1.13$ into $g(x)=x(6-2x)(8-2x)$ to get the maximum volume.

$g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26$

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0

3 years ago

A bag of 8 apples cost $2.88. What is the cost of one apple

k0ka [10]

You have to use the formula cost over quantity Divide 8 and $2.88 The answer is. 0.36

6 0

3 years ago

If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG

kvasek [131]

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG ( substitute values )

$\frac{1}{3}$ x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = $\frac{1}{3}$ x = $\frac{1}{3}$ × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

8 0

2 years ago

Read 2 more answers