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mafiozo [28]
2 years ago
13

Ellen can spend at most $8.25 on snacks for a party. Carrots cost $2 per pack and grapes cost 0.75 per bag. Write a linear inequ

ality
Mathematics
2 answers:
UkoKoshka [18]2 years ago
6 0

2c + .75g less than or equal to 8.25


c being how many packs of carrot

g being how many bags of grapes

Yuliya22 [10]2 years ago
3 0

Let x represent the number of packages of carrots and let

y represent the number of bags of grapes.

Use ≤ for “at most”.

Total cost of carrots plus total cost of grapes is at most $8.25 .

2x + 0.75y ≤ 8.25

Solve the inequality for y.

2x + 0.75y ≤ 8.25

0.75y ≤ -2x + 8.25

y ≤ -8/3x + 11

Hope this helps. c;

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qaws [65]
The answer is true because if you multiply 3•(3) is will give you 9 and if you multiply 10•(3) it will give you 30 which gives you both of the sides for the larger one
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2 years ago
The ratio of boys to girls in Mr. Castillo's
Nady [450]

24 can not be the total number of students in Mr. Castillo's class.

I'm assuming that your answer options are 20, 24, 25, and 30.

out of this set of numbers, 24 can not be divided by 5 (without getting a decimal)

7 0
2 years ago
Read 2 more answers
When dividing with polynomials, the goal is to determine how many times the dividend divides evenly into the?
kkurt [141]
Whether dividing constant terms or polynomials, we always have definitive terms when it comes to division. Suppose we say, 10x divided by 2. The dividend is the 10x and the divisor is the 2. In other words, the dividend is the number to be divided by the divisor, to obtain the answer called the quotient.

When dividing polynomials, your main goal is to be able to divide the dividend evenly into the <em>divisor</em>. For example, we divide x²+2x+1 by x+1. The first thing you're going to focus is, what term will completely divide the first term of the polynomial? That would be x. Why? Because when you multiply x with x+1, the product is x²+x. When you subtract this from the polynomial, the x² will cancel out. All you have to do is subtract x from 2x, yielding x. Then, you carry down the last term of the equation: +1. You do the steps again. The term that will completely divide x+1 by x+1 is 1. When you subtract the two, you will come up with zero. That means there is no remainder. The polynomial is divisible by the divisor. 
                          x + 1
                        ------------------------------------
                  x+1| x²+2x+1
                        - x²+x
                         ----------------------
                                 x +1
                               - x + 
                             ------------
                                    0
5 0
2 years ago
Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef
Mashutka [201]

Answer:

Mrs. Wright's paycheck is $630

Step-by-step explanation:

Let x = Mrs. Wright's paycheck.

Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9

She spent 1/3 on rent. This means that the amount spent on rent is

1/3 ×x x = x/3

Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9

= 5x/9

The remainder is her pay check - the amount that she spent on food and rent. It becomes

x - 5x/9 = (9x- 5x)/9 = 4x/9

She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.

Amount left = 4x /9 - x/9= 3x/9

She had $210 left. Therefore,

210 = 3x/9

3x = 9×210 = 1890

x = 1890/3

x = $630

3 0
2 years ago
mr. and mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonth
Katyanochek1 [597]

Answer:

$103968.11.

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

A=P(1+\dfrac{r}{n})^{nt}

where,

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

A=240000(1+\dfrac{0.012}{24})^{24(30)}

A=240000(1.0005)^{720}

A=343968.11

Now,

Interest=A-P

Interest=343968.11-240000

Interest=103968.11

Hence, the interest is $103968.11.

4 0
2 years ago
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