All categories

2 years ago

Lauren has finished 25% of the 120 push ups she needs to do for softball

Mathematics

1 answer:

Ilya [14]2 years ago

3 0

Answer:

30 pushups

Step-by-step explanation:

25/100 = x/120

so, 120x25 = 100x

3000 = 100x

3000/100= x

x = 30

so, Lauren has completed 30 push-ups.

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(13) The Modern Grocery has cashews that sell for $5.00 a pound and peanuts that sell

bazaltina [42]

Answer:

solution:

x = pounds of cashews = 20

y = pounds of peanuts = 70

Step-by-step explanation:

x = pounds of cashews

y = pounds of peanuts

---

4.75x + 2.50y = 3.00*90

x + y = 90

---

put the system of linear equations into standard form

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4.75x + 2.50y = 270

x + y = 90

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2 years ago

(1+tanx)/(sinx+cosx)=secx

jek_recluse [69]

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ is proved

<h3><u>Solution:</u></h3>

Given that,

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ ------- (1)

First we will simplify the LHS and then compare it with RHS

$\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}$ ------ (2)

$\text {We know that } \tan x=\frac{\sin x}{\cos x}$

Substitute this in eqn (2)

$=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}$

On simplification we get,

$=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}$

$=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}$

Cancelling the common terms (sinx + cosx)

$=\frac{1}{c o s x}$

We know secant is inverse of cosine

$=\sec x=R . H . S$

Thus L.H.S = R.H.S

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$

Hence proved

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3 years ago

Given f(x) = x^2 + 3 , work out the value of f(4)

Tamiku [17]

Answer: 19

Step-by-step explanation:

$f(4)=(4)^2+3=16+3=19$

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