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vaieri [72.5K]
3 years ago
12

Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe

e A, write an algebraic expression that represents the number of pounds of coffee B.
Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer:

Algebraic expression representing number of coffee B = 100-x

Step-by-step explanation:

An algebraic expression is an expression that contains unknowns denoted with alphabets or symbols and natural numbers.

Coffee blend is 100 pounds and x represent number of pounds of coffee A

Hence coffee B = 100-x

Algebraic expression representing number of coffee B = 100-x

You might be interested in
Divya starts a painting her grandpa's kitchen at 8:15 a.m. She finishes 75 minutes later
Mila [183]

Answer:

9:30 she finishes

Step-by-step explanation:

815 plus 75 is 890

there are 60 minutes in one hour

890-60 is 830

add 100 to represent another Hour

830 plus 100 is 930

9:30

therefore, it is 9:30

8 0
3 years ago
The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi
Ira Lisetskai [31]

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

7 0
3 years ago
Recall the scenario about Eric's weekly wages in the lesson practice section. Eric's boss have been very impressed with his work
Solnce55 [7]

Answer:  

1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) D: x = [0, 24]

3) R: y = [0, 384]

4) see graph

<u>Step-by-step explanation:</u>

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x    for   0 ≤ x < 9

Eric's overtime wage is $18 per hour for 9 hours and greater.

The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).

f(x) = 18(x - 8) + 12(8)

    = 18x - 144 + 96

    = 18x - 48           for 9 ≤ x ≤ 24

The daily wage where x represents the number of hours worked can be displayed in function format as follows:

f(x)=\bigg\{\begin{array}{ll}12x&0\leq x

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D:  0 ≤ x ≤ 24        →        D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

     =  0

The maximum hours he can work in one day is 24 <em>(although unlikely, it is theoretically possible).</em>

f(x) = 18x - 48

f(24) = 18(24) - 48

       = 432 - 48

       = 384

D:  0 ≤ y ≤ 384        →        D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

6 0
3 years ago
what is the sum of the prime numbers of 420 do not repeat any prime factors A 15 B 16 C.17 D. 18 E. 19
Mars2501 [29]

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

<em>-kiniwih426</em>

5 0
3 years ago
Please need help thank you
mel-nik [20]
Perimeter 430
Length 172
172 next
430 last(after the =)
5 0
3 years ago
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