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3 years ago

When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.

2 answers:

6 0

2:5.....added = 7

2/7 (21,000) = 42,000/7 = 6000
5/7 (21,000) = 105,000/7 = 15,000

so the arena made 6,000 and Philip made 15,000

rewona [7]3 years ago

4 0

Answer:

£6,000

Step-by-step explanation:

"Split in a ratio of 2:5 between the area and Phillip Cage" means that arena got 2 parts and Phillip Cage got 5 parts.

Hence, in total there are 2 + 5 = 7 parts

Also, the total money is £21,000

Each part is worth $\frac{21,000}{7}=3000$

"How much money did the arena make from Phillip Cage’s concert?"

The arena got 2 parts and each part is worth £3000, so arena made $2*3000=6000$ pounds

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A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−7 items, respectively. The first plan

Anastasy [175]

Answer:

3x+24 more widgets

Step-by-step explanation:

A company owns two manufacturing plants:

1st plant: 8x+17 widgets;2nd plant: 5x-7 widgets.

To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,

(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24

hope this helps!

Step-by-step explanation:

4 0

3 years ago

If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=

Alexxx [7]

$\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\$

$\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}$

now, if we just knew what g(2) is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that means if we use that value in f(x), f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus 2 = 2x+sin(x)

$\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
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-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}$

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it

5 0

3 years ago

What is an equation of the line that passes through the points (-4, -1) and (3,-8)?

Kaylis [27]

Answer:

y=-x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-(-1))/(3-(-4))

m=(-8+1)/(3+4)

m=-7/7

m=-1

y-y1=m(x-x1)

y-(-1)=-1(x-(-4))

y+1=-1(x+4)

y+1=-x-4

y=-x-4-1

y=-x-5

Please mark me as Brainliest if you're satisfied with the answer.

6 0

3 years ago

Please help me and show your work thank you

Furkat [3]

Answer:

She has walked 7233.6 ft

Step-by-step explanation:

13.7 miles ÷ 10 = 1.37 miles

1 mile = 5280 ft

5280 x 1.37 = 7233.6 ft (or 7234 if rounded to the nearest ft)

6 0

3 years ago

7. 60% of 90 Find the percent of the quantity

NeTakaya

Answer:

Step-by-step explanation:

60% of 90 = 60/100 × 90

= 0.6 × 90

= 54

Therefore, 60% of 90 is 54.

4 0

4 years ago