A school principal is buying chairs and desks from a furniture supplier.
• The chairs cost $110 each.
• The desks cost $70 each.
• The principal wants to buy at least 100 pieces of furniture.
• The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of

Answer:

2, -2

Step-by-step explanation:

what i answered probs not right lol

Answer:

a = 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(a+4)=72

(6)(a)+(6)(4)=72(Distribute)

6a+24=72

Step 2: Subtract 24 from both sides.

6a+24−24=72−24

6a=48

Step 3: Divide both sides by 6.

6a

6

=

48

6

Answer:

a=8

Step-by-step explanation:

6(a+4)=72

(6)(a)+(6)(4)=72(Distribute)

6a+24=72

Step 2: Subtract 24 from both sides.

6a+24−24=72−24

6a=48

Step 3: Divide both sides by 6.

6a

6

=

48

6

Answer:400%

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The required, 900 divided by 30 is 30.

When dividing 900 by 30, we follow a similar process. We start by writing 900 as the dividend and 30 as the divisor. Then, we divide 9 (the first digit of 900) by 3 (the first digit of 30), resulting in a quotient of 3. We write this quotient above the line. Next, we multiply the divisor (30) by the quotient (3), giving us 90. Subtracting 90 from 900 leaves us with 810. We bring down the next digit (0), resulting in 8100. We divide 81 by 3, getting a quotient of 27.

Thus, 900 divided by 30
= 900/30 = 90/3
= 30

Therefore, 900 divided by 30 is 30.

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Answer:

1 : 3 : 5 = 20° : 60° : 100°

Step-by-step explanation:

Let the angle of the triangle be x

Given the following data;

1 : 3 : 5 = x : 3x : 5x

We know that the sum of the sides of a triangle is equal to 180 degrees.

x + 3x + 5x = 180

9x = 180

x = 180/9

x = 20°

Now, to find the measure of each angle.

For the first side;

x = 20°

For the second side;

3x = 3*20 = 60°

For the third side;

5x = 5*20 = 100°

Answer:

The answer is [tex]120a\sqrt{7a}[/tex]

Step-by-step explanation:

This question can be solved simplifying the square roots, and then multiplying what is inside and what is outside the roots. So

[tex]3\sqrt{5a}*8\sqrt{35a^2}[/tex]

Square root of [tex]a^2[/tex] is a. So

[tex]3\sqrt{5a}*8\sqrt{35a^2} = 3\sqrt{5a}*8a\sqrt{35} = 24a\sqrt{5a}\sqrt{35}[/tex]

Now we simplify the square roots. 35 = 5*7. So

[tex]24a\sqrt{5a}\sqrt{35} = 24a\sqrt{5a}\sqrt{5*7} = 24a\sqrt{a*5^2*7} = 24a*5\sqrt{7a} = 120a\sqrt{7a}[/tex]

The answer is [tex]120a\sqrt{7a}[/tex]

Answer:

Got it!

480 and 320 is the answer, Hope this helps :)

Answer:

Yes Good Job Now Mark Me Brainliest PLEASE

Step-by-step explanation:

Answer:

The tip was 20%

Answer:

Accounts Receivable $6,762 Prepaid Insurance $1,994 Accounts Payable 8,119 Maintenance And Repairs Expense 956 Cash ? Service Revenue 10,298 Equipment 50,033 Dividends 617 Gasoline Expense 570 ... The accounts in the ledger of Tempus Fugit Delivery Service contain the following balances on July 31, ...

Step-by-step explanation:

Answer:

the range of the data in the stem and leaf plot is 89

Step-by-step explanation:

The computation of the range of the data in the stem and leaf plot is as follows;

= 209 - 120

= 89

Hence, the range of the data in the stem and leaf plot is 89

It could be come by subtratcing the two numbers from each other

Thus, the same is to be considered and relevant too

Answer:

30

Step-by-step explanation:

f(3)=(2x+4)(3x-6)

f(3)=(2(3)+4)(3(3)-6)

f(3)=(10)(3)

f(3)=30

Answer: answer is 96

Step-by-step explanation: you have to multiply  8 6 and 2 together to get your answer

Answer:

96

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If the probability of choosing a strike is 3/10, that means that from the total items available 3 out of 10 are strikes, now, if there are 9 strikes total, this is the equation representing such result:

(3/10)(totalChips) = 9

if we solve for totalChips we have:

3(totalChips) = 9*10 = 90

totalChips = 90/3 = 30

Answer:

The length of other leg is 4.58

Step-by-step explanation:

It is given that:

One leg of triangle = 10

Hypotenuse = 11

Using Pythagorean theorem,

[tex]a^2+b^2=c^2\\(10)^2 + b^2 = (11)^2\\100+b^2 = 121 \\b^2 = 121-100 \\b^2 = 21[/tex]

Taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{21}\\b=4.58[/tex]

Therefore,

The length of other leg is 4.58

Answer:

P(3) = 0

Step-by-step explanation:

Factor Theorem is a consequence of Remainder Theorem.

Remainder Theorem states that if polynomial f(x) is divided by a binomial (x - a) then the remainder is f(a).

Factor Theorem states that if f(a) = 0, then the binomial (x - a) is a factor of f(x).

We have the polynomial

[tex]P(x) = x^5-3x^4+5x^3-15x^2-6x+18[/tex]

To prove that x-3 is a factor of P, we calculate P(3):

[tex]P(3) = 3^5-3*3^4+5*3^3-15*3^2-6*3+18[/tex]

[tex]P(3) = 243-243+135-135-18+18[/tex]

[tex]P(3) = 0[/tex]

Thus, x-3 is a factor of P(x)

Answer:

304 mo

Step-by-step explanation:

It would take her 304 months to  pay off her mortgage, option D is correct.

percentage, a relative value indicating hundredth parts of any quantity.

To calculate the number of months it will take to pay off the mortgage with one extra monthly payment per year, we can use the formula for the loan payoff period:

N = -log(1-(r/12)P)/log(1+r/12)

where N is the number of months, r is the monthly interest rate, and P is the monthly payment.

r = 0.05/12 = 0.004167

P = r(1+r¹²³⁰/(1+r)¹²³⁰-1) × 150,000

= $805.23

Now, we can calculate the number of months it will take to pay off the mortgage with one extra monthly payment per year:

N = -log(1-(r/12)P)/log(1+r/12)

N = -log(1-(0.004167/12)×805.23)/log(1+0.004167/12)

N = 303.85

Hence, it would take her 304 months to  pay off her mortgage, option D is correct.

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Answer:

49/9  or 5 4/9

Step-by-step explanation:

Answer:   8 4/9

Step-by-step explanation: Hope this helps :)

Answer:    [tex]5\sqrt{42}z^3[/tex]

Step-by-step explanation:

[tex]\sqrt{z} \cdot \sqrt{30z^{2} } \cdot \sqrt{35z^{3} } =\sqrt{z \cdot 30z^{2} \cdot 35z^{3} } =\sqrt{30 \cdot 35 \cdot z^{1+2+3} } =\sqrt{1050 \cdot z^{6} } =\\\\=5\sqrt{42}z^3[/tex]

Answer:

positive real

Step-by-step explanation:

Answer:

B. 12

Step-by-step explanation:

you convert 7 1/5 into an improper fraction which gives you 35/5

then you add the 1/5 giving you 36/5.

you divide 36/5 ÷ 3/5 and that gives you 12.

hi i just want to be friends but  x - y

-5 - 2

-4 - x

-3 - y that is all i know

Answer:

290 books

Step-by-step explanation:

10 × 12= 120

120×2= 240

10×5=50

50+240= 290 books in 2 years and 5 months. hope this helps!

Answer:10

Step-by-step explanation:

X/5+4 = 6

(Subtract 4 on both sides)

X/5 =2

(Multiply 5 on both sides to get x alone)

2(5) = 10

X = 10

Answer:

it equals 10 (x=10)

Step-by-step explanation:

x + 20=30

X=30-20

X=10

Answer:

Yes

Step-by-step explanation:

8/6 simplified is 4/3

20/15 simplified is 4/3

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