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Svet_ta [14]
3 years ago
8

Fred has an account balance of $50. He needs at least $500 to buy a new computer. If he deposits $30 per day from his take home

pay, how long will it take to have at least that amount in his account?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

x ≥ 15

Step-by-step explanation:

First you need to make an equation for this. If he already has $50 and needs <u>at least</u> 500 and deposits $30 per day we can put the equation as 30x + 50 ≥500. The reason we put a greater than or equal sign (≥) rather than the less than or equal sign (≤) is because Fred needs <u>at least</u> meaning you can have exactly or 500 exactly. To solve this you would have to do inverse operation and subtract 50 on both sides. You should have 30x≥450. Then divide 30 on both sides. Your answer should be x ≥ 15.

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Two solutions of differently concentrations of acid are mixed creating 40 mL of a soul union that is 32% acid one-quarter of the
AleksAgata [21]

Answer: Three quarters (30 ml) is made up of a 36% acid solution.

Step-by-step explanation:

Since we have given that

Total amount of solution = 40 ml

One- quarter of the solution is given by

\frac{1}{4}\times 40\ ml\\\\=10\ ml

Three-quarter of the solution is given by

\frac{3}{4}\times 40\\\\=30\ ml

According to question, we have

10 ml of solution is made up of = 20% of acid solution

30 ml of solution is made up of = say<em> 'c </em>' of acid solution

40 ml of solution is made up of = 32 % of acid solution

So, our equation becomes,

10\times 0.2+30\times c=40\times 0.32\\\\2+30c=12.8\\\\30c=12.8-2\\\\30c=10.8\\\\c=\frac{10.8}{30}\\\\c=0.36\\\\c=36\%

Hence,  three quarters (30 ml) is made up of a 36% acid solution.

5 0
3 years ago
Which of the following is true about the solution to h - 9 = 1?
Fed [463]
The solution must be larger than 9, because the answer is h=10
8 0
3 years ago
Daniel has a coupon for $1.44 off
Art [367]

Answer:

Daniel will save $1.18

Step-by-step explanation:

First, find the cost of the name-brand flour with the coupon:

Subtract 1.44 from the original price of 9.12:

9.12 - 1.44

= 7.68

So, the price of the name-brand flour with the coupon is $7.68

Now, find how much he will save by finding the difference between this price and the price of the store brand flour:

8.86 - 7.68

= 1.18

So, Daniel will save $1.18

3 0
2 years ago
X - (6.9) = 42.8<br><br> x = 42.8 +
Harman [31]
I hope this helps you



x=42.8+6.9



x=49.7
4 0
3 years ago
Read 2 more answers
Show all your work to receive full credit for this problem. Solve the system of equations using the elimination method. 2a + 3b
Sindrei [870]

Given equations are;<span>
2a + 3b = -1   ..................equation 1
3a + 5b = -2  ....................equation 2</span>

Now multiply equation 1 with (-3)

The equation will be;

-6a -9b = 3 …………………..equation 3

Now multiply equation 2 with (2)

The equation will be;

6a + 10b = -4 ……………..equation 4

Now add equation 3 and equation 4

-6a – 9b = 3

<span>6a  + 10b = -4</span>

<span>------------------------------</span>

0a + b = -1

b = -1

Now put the value of b in equation 1

2a + 3(-1) = -1

2a -3 = -1

2a = -1+3

2a = 2

a=1

Thus the solution is (a,b) = (1,-1)

<span>
</span>

8 0
3 years ago
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