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tia_tia [17]
1 year ago
5

You know that 3 pencils and 7 pens cost $24, while 3 pencils and 3 pens cost S12.

Mathematics
2 answers:
solmaris [256]1 year ago
3 0

Answer:

5 pens = 15$ and 4 pencils = 4$

Step-by-step explanation:

7-3=4, so 4 pens is 12$

12/4 = 3, so 1 pen = 3$

Remove the pens from the equation

7x3=21

24-21=3

3/3=1, so each pencil costs 1$

Zepler [3.9K]1 year ago
3 0
19 dollars. Pens are 3$ each and pencils are 1$ each.
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Find each unit rate.<br> 4/5of a chapter in 3/10 hour
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Answer:

8/3mph

Step-by-step explanation:

you must multiply both fractions by the reciprocal of 3/10 which is 10/3

(4/5 * 10/3) / (3/10 * 10/3)

(40/15) / (30/30)

(8/3) / 1

8/3 /1 = 8/3

8 0
2 years ago
The temperature when Spencer arrived at school was a very chilly
nekit [7.7K]

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Kevin has just purchased a small rectangular fish tank that holds 904.5 milliliters of water. The tank has a length of 15 cm and
Nitella [24]

Answer:

A stone is thrown straight up from the edge of a roof, 750 feet above the ground at a speed of 14 feet per second. A) Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? B) At what time does the stone hit the ground? C) What is the velocity of the stone when it hits the ground?

Step-by-step explanation:

A stone is thrown straight up from the edge of a roof, 750 feet above the ground at a speed of 14 feet per second. A) Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 2 seconds later? B) At what time does the stone hit the ground? C) What is the velocity of the stone when it hits the ground?

5 0
2 years ago
twice the difference of a number and 7 is equal to three times the sum of the number and 7. find the number​
otez555 [7]

Answer:

- 35  

Step-by-step explanation:

2(x - 7) = 3(x+7)

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x = - 35  

Rechecking :

2(-35 - 7) = 3 (-35 +7)

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7 0
3 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

5 0
3 years ago
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