Cameron needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 598 spoons. There are currently 194 spoons. If each set on
sale contains 8 spoons, write and solve an inequality which can be used to determine
x, the number of sets of spoons Cameron could buy for the restaurant to have enough
spoons.

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus

∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )

Complete question is;

Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.

1) 2x + y = 10

x - 3y = -2

2) x + 2y = 5

2x + y = 4

3) x + 3y = 5

6x - y = 11

4) 2x + y = 10

-6x - 3y = -2

Answer:

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Step-by-step explanation:

1) 2x + y = 10 - - - (eq 1)

x - 3y = -2 - - - (eq 2)

Multiply eq 1 by 3 to get;

6x + 3y = 30

Add it to eq 2 to get;

7x = 28

x = 28/7

x = 4

2) x + 2y = 5 - - - (eq 1)

2x + y = 4 - - - (eq 2)

Multiply eq 2 by 2 to get;

4x + 2y = 8

Subtract eq 1 from it to get;

3x = 3

x = 3/3

x = 1

3) x + 3y = 5 - - - (eq 1)

6x - y = 11 - - - (eq 2)

Multiply eq 2 by 3 to get;

18x - 3y = 33

Add to eq(1) to get;

19x = 38

x = 38/19

x = 2

4) 2x + y = 10 - - - (eq 1)

-6x - 3y = -2 - - - (eq 2)

Make y the subject in eq 1 to get;

y = 10 - 2x

Put in eq (2);

-6x - 3(10 - 2x) = -2

-6x - 30 + 6x = -2

0 = 0

Thus,no solution exists.

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Answer:

The person above me is correct.

Step-by-step explanation:

Answer:

it's 4

Step-by-step explanation:

big brainnnnnnnnnn

Answer:

There are no real solutions to this equation

Step-by-step explanation:

Answer:

40 + 7 = 47.    47 x 8  = 376

8 x 40 = 320      8 x 7 = 56

320 + 56 = 376

They equal the same.

Step-by-step explanation:

8x(40+7)=(8x40)+(8x7)

Answer:

1 Expand by distributing terms.

10-80x+710−80x+7

2 Collect like terms.

-80x+(10+7)−80x+(10+7)

3 Simplify.

-80x+17−80x+17

Step-by-step explanation:

Step-by-step explanation:

Gradient of line AB = 6/2 = 3.

Gradient of line CD = 10/2 = 5.

Gradient of line AD = 12/8 = 1.5.

Answer:

$100,000

Step-by-step explanation:

Let the total income of the store = [tex]\$x[/tex]

Total spends on salaries = [tex]\frac{1}{4}[/tex] of total income

Total spends on advertising = [tex]\frac{1}{6}[/tex] of total income

Also, we are given that:

Total money paid as salaries = $150,000

To find:

Total spends on advertising ?

Solution:

As per question statement, we can write the following equation:

[tex]\dfrac{1}{4}x =\$150000\\\Rightarrow x =\$150000\times 4\\\Rightarrow x = \$600000[/tex]

Now, as per the given statement, total spends on advertising are:

[tex]\dfrac{1}{6}x =\dfrac{1}{6}\times 600000 = \bold{\$100,000 }[/tex]

Therefore, the answer is $100,000

Answer:

1) -13/8

Step-by-step explanation:

decimal form is -1.625

Answer:

20x²+5x+5

Step-by-step explanation:

any more help just ask

Answer:

a true

Step-by-step explanation:

hope this helps please give me brainliest

Answer:

here you go - (-1,0) and (8,9)

Answer:

The answer is A

Step-by-step explanation:

Count all the x's. They add up to 8.

Hope this helped.

Answer:

A. There were 8 people who rode in the bicycle race.

Step-by-step explanation:

The line plot in the picture shows the distance in miles raced by Sophie's friends.

It's required to select one of the following options:

A. There were 8 people who rode in the bicycle race.

Since each x represents one person, and there are 8 x's, this statement is true.

B. More people rode 3/4 of a mile than 1/4 of a mile. There is only one x in 3/4 and 3 x's in 1/4. This is false

C. This option is false also, there were 5 people who rode 1/4 of a mile or 2/4 of a mile.

D. There were 2 people who rode 1 mile. False

Answer:

a(31) =125

Step-by-step explanation:

d=9-5=13-9=4

then it is an arithmetic sequence

a(n) = a1 +(n-1)d

a(n) = 5 +(n-1)4

a(31) = 5 +(31-1)4

      =125

hope this helps

Answer:

D; 85 leaves

Step-by-step explanation:

From what we can see, each 4 days there is a growth of an additional 9 leaves

So for the 20th day, we can see 58

The difference between the 20th and 32nd day is 12

The number of 4s we can see here is 12/4 = 3

For each 4, we can count extra 9 leaves

So for the 12, the number of leaves we can count is 3 * 9 = 27

we proceed to add this to 58

That will yield 58 + 27 = 85

It's c Bye bye have a amazing day

Answer:

1,NO

2,Just divide the square rooted number with the numbers that square it.

3,Negative

Answer:

1,no

2,by the same word multiplying and the get square root of a number

3,negative

Answer:

Step-by-step explanation:

if 600 represents ........................15%

     x.................................................100%

(600*100)/15=4000

the customer paid

4000-600=3400

I hope this helps you.

Answer:

food, video games, sports, naps, music  

Step-by-step explanation:

Answer:

Sophia now has 39 cents.

Step-by-step explanation:

One quarter = 25 cents

Since Sophia had 64 cents until she spent 25 cents (1 quarter).

So we subtract 25 cents from 64 cents.

[tex] \: \: \: 64 \: cents \\ \frac{ - 25 \: cents}{ \: \: \: 39 \: cents} [/tex]

Therefore, Sophia now has 39 cents.

Answer:

3. 72= (x)+(x+1)+(x+2) where x= the smallest number

72=3x+3

-3        -3

69=3x

/3   /3

x=23

x+1=24

x+2=25

smallest is 23

4. 48= (x)+(x+2)+(x+4)

48= 3x+6

-6        -6

42=3x

/3    /3

x=14

x+2=16

x+4=18

smallest is 14

5. all erasers were the same cost

25= 4x+5 (x= cost of erasers)

-5         -5

20=4x

/4   /4

x=5

each cost  $5

6. b= boxes

22= b/2 +7

-7            -7

15=b/2

multiply both sides by 2 to cancel the denominator

30=b

30 boxes originally

7. 40= total

8= left

2= balls given to each

x=number of friends

40= 2x+8

-8         -8

32=2x

/2   /2

x=16

she has 16 friends

8.  12= left

a= total allowance

12= (a/2) +4

-4            -4

8= a/2

multiply both sides by 2 to cancel the denominator

a= $16

she had an allowance of $16

9.  4 (2) = amount that her four children recieved

10=amount she took for herself

x= original

x= 4(2) + 10

x= 8 +10

x=18

she started with 18 candies

10. a= age

244= 400 - 2a

-400 -400

-156= -2a

/-2     /-2

a= 78

they are 78 years old

11. c= comic books

36=  c/2 + 16

-16           -16

20=c/2

multiply both sides by 2 to cancel the denominator

c=40

she started with 40 comic books

12.  b= students in buses

472= 9b + 4

-4             -4

468=9b

/9     /9

b= 52

52 students went in each bus

13. h= hats

17= h/2 +5

-5          -5

12=h/2

multiply both sides by 2 to cancel the denominator

h=24

she had 24 hats on monday

14. p= pies the club made

60= (p+4)/5

multiply both sides by 5 to cancel the denominator

300=p+4

-4         -4

p= 296

the club made 296 pies

Step-by-step explanation:

Answer:

D. 4.5​

Step-by-step explanation:

Answer:

5(2+xy)

Step-by-step explanation:

10+5xy

Factor out 5 from the expression

thus,the answer is 5(2+xy)

Answer:

bob

Step-by-step explanation:

ask your teacher

Answer:

72.9

Step-by-step explanation:

Multiply your first 2 terms

4.5* (-9) = -40.5

multiply this by -1.8

-40.5*-1.8 = 72.9

Answer:

−72.9 / option B

Step-by-step explanation:

(4.5)(-9)(1.8)

Step 1: (4.5) x (-9) = (-40.5)

Step 2: (-40.5) x (1.8) = (-72.9)

Answer: 1/8 hours or 7.5 minutes

Step-by-step explanation:

Since Hannah spent 1/2 an hour to complete 4 math problems. We are further told that she spent an equal amount of time on each problem.

The amount of time spent on each problem will be:

= 1/2 ÷ 4

= 1/2 × 1/4

= 1/8 hours

Since 60 minutes = 1 hour

1/8 hours = 1/8 × 60 = 7.5 minutes each.

Answer: 24.9 hours

Step-by-step explanation:

They are travelling a total distance of 1,740 miles at a speed of 70 miles per hour. Assuming they do not rest, they will take:

Time = Distance/ Speed

= 1,740/70

= 24.9 hours