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stepan [7]
2 years ago
5

If 2a^2 +3^1a - 5a^2= 9, then a-a^2=

Mathematics
1 answer:
anygoal [31]2 years ago
5 0

Answer: 3.


Explanation:


1) Given expression: 2a² + 3a - 5a² = 9


2) Combine like terms: -3a² + 3a = 9


3) Division property of equalities (divide both sides by 3): - a² + a = 3


4) Rearrange: a - a² = 3


That is the answer requested.

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Rameen’s heating bill is $5.42 per month plus $1.08 per therm. How many therms can Rameen use if he wants his heating bill to be
hammer [34]

Write and solve an inequality:

Total(t) = $5.42 + ($1.08/therm)(t) ≤ $87.50.

First, subtract $5.42 from $87.50:  then ($1.08/therm)(t) ≤ $82.08

Next, divide both sides by $1.08 per therm:


t ≤ ($82.08) / ($1.08/therm) = 76 therms (maximum).  Thus, Rameen's usage could be [0,76] (therms).

3 0
2 years ago
A sofa is on sale for $ 364.00 , which is 35 % of the original price. What is the original price?
inn [45]

Answer:

$1040

Step-by-step explanation:

Let X be the original price.

35% of X = 364

35/100 × X = 364

X = 364 × 100/35

X = 1040

8 0
2 years ago
Read 2 more answers
If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).
Yuliya22 [10]
We can use the Pythagorean Trigonometric Identity which says:
sin^2(t)+cos^2(t)=1

Since we need to find sin(t), we have to solve for it:
sin(t)= \sqrt{1-cos^2(t)}

Let's plug in the given cos(t) value:
sin(t) = \sqrt{1-cos^2( \frac{2}{7})}

And solve sin(t):
sin(t) = \sqrt{1- \frac{4}{49} } = \frac{x}{y} \sqrt{ \frac{49}{49}- \frac{4}{49} }

Simplify further:
sin(t) = \sqrt{ \frac{45}{49} } = \frac{ \sqrt{45} }{7} = \frac{ \sqrt{9*5} }{7}

And it all simplifies down to:
sin(t) = \frac{3 \sqrt{5} }{7}

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is: 
sin(t) = - \frac{ 3\sqrt{5} }{7}

Hope this helps!
7 0
2 years ago
To make one ham sandwich, tina uses one bread roll and two ham slices
igor_vitrenko [27]

Answer:

£67.78

Step-by-step explanation:

Bread - 6 x £2.87 = £17.22

Ham - 8 x £6.32 = £50.56

  £17.22

+ <u>£50.56</u>

  £67.78

6 0
2 years ago
Supervisor: "Last week, you spoke with 800 customers in 40 hours."
algol13

Answer:12

Step-by-step explanation:

0 0
2 years ago
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