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earnstyle [38]
2 years ago
14

.Factor 20x2 + 68x - 160

Mathematics
1 answer:
saveliy_v [14]2 years ago
3 0

Answer:

4(5x-8) (x+5)

Step-by-step explanation:

4(5x^2+17x-40)

4(5x-8) (x+5)

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A new school has x day students and y boarding students.
guapka [62]

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as x + 2y\geq 1200.​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are \$600 a term.

So, the fees for x day students are \$600x a term.

The fees for a boarding student are \$1200 a term.

The fees for y boarding student are \$1200y a term.

Total fees for x day students and y boarding student is:

\text{Total fees}=600x+1200y

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

600x+1200y\geq 720000

600(x+2y)\geq 720000

Divide both sides by 600.

\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}

x+2y\geq 1200

Hence proved.

3 0
3 years ago
Jimmy Andrew and Richard collect comic books. Jimmy has five more comic books than Andrew, and Richard has four times as many co
adell [148]

Answer: Andrew = 20

Jimmy = 25

Richard = 100

Step-by-step explanation:

Let the number of Andrew's comic books be y.

Jimmy has five more comic books than Andrew. This means Jimmy has: y+5

Richard has four times as many comic book as jimmy. This means Richard has: 4(y+5) = 4y + 20

Since there are 145 comic books together. This can be rewritten as:

y + (y+5) + (4y+20) = 145

6y+25 = 145

6y = 145 - 25

y = 120/6

y = 20

Andrew has 20 comic books

Jimmy has five more comic books than Andrew. Jimmy has: 20+5 = 25

Richard has: 4y + 20 = 4(20) + 20 = 100

5 0
3 years ago
Off John has 3 apples and he give 7 away, how many apples does that person have?
zimovet [89]

Answer:

-4

Step-by-step explanation:

3-7= -4

3 0
3 years ago
Read 2 more answers
Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
schepotkina [342]

\\ \rm\hookrightarrow 20=c+9.79

Simply

\\ \rm\hookrightarrow c=20-9.79=10.21

Yes it shows the additional charge

3 0
1 year ago
(PLEASE HELP GIVING BRAINLIEST) Do each of the following represent a direct variation? If so, what is constant of a variation?
Lynna [10]

mark me as the brainlest answer please

then I will answer your all questions.

7 0
3 years ago
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