Delicious Doing caterers events at a flat rate $500 plus $100 per hour after the first 2 hours. Cathy's Catering has a flat rate of $620 per event plus $70 per hour after the first three hours. What is the most amount of hours you could hire Cathy's Catering for and it cost less than Delicious Doings? Write an inequality that could be used to solve this problem

Answer

(-4,3)

Step-by-step explanation:

Given:

Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

One pound of oranges cost $0.75 more than one pound of bananas.

To find:

The equation which represents the situation, and what is the price per pound of each fruit.

Solution:

Let b represent the price per pound of bananas.

Cost of 3 pound of banana = $3b

One pound of oranges cost $0.75 more than one pound of bananas.

So, cost of one pound of oranges = $(b+0.75)

Cost of 2 pound of oranges = $2(b+0.75)

Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

[tex]3b+2(b+0.75)=4.50[/tex]

Therefore, the required equation is [tex]3b+2(b+0.75)=4.50[/tex].

On solving the above equation, we get

[tex]3b+2b+1.50=4.50[/tex]

[tex]5b=4.50-1.50[/tex]

[tex]5b=3[/tex]

Divide both sides by 5.

[tex]b=\dfrac{3}{5}[/tex]

[tex]b=0.60[/tex]

Now,

[tex]b+0.75=0.60+0.75=1.35[/tex]

Therefore, the price of fruits are $0.60 per bananas, $1.35 per pound of oranges.

Hence, the correct option is C.

Answer:

6.57

Step-by-step explanation:

if if you round 6.57 up in the tens place you will get 6.6

Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

   find the capacity of the five bottles

∴ The capacity of the 5 bottles = 15.3 - 0.35

∴ The capacity of the 5 bottles = 14.95 liters

→ To find the capacity of each bottle divide the total capacity by 5

∴ The capacity in one bottle = 14.95 ÷ 5

∴ The capacity in one bottle = 2.99 liters

∴ The capacity of milk in 1 bottle is 2.99 liters

Answer:

C

Step-by-step explanation:

Answer:

166

Step-by-step explanation:

Just Add 83+83=166

30 degrees

Measure of the angle of 6 is 30 degrees

Answer:

30 degrees

Step-by-step explanation:

because 60 degrees is already there and 120 is angled the opposite way, and 100 degrees is a little farther than 90.

Answer:

The value of X should be 8

Answer:

√ 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

a(x) = 3x + 2

-3,0,5,6

a(-3) = 3*(-3) + 2

a(-3) = - 9 +2

a(-3) = - 7

===============

a(0) = 3*0 + 2

a(0) = 2

================

a(5) = 3*5 + 2

a(5) = 15 + 2

a(5) = 17

================

a(6) = 3*6 + 2

a(6) = 18 + 2

a(6) = 20

Answer:

4 because you divide 3 and 15 by three which gives you 5 then divide 20 by that gives you 4

Answer:

45

Step-by-step explanation:

7 x 9 = 63

So, you would multiply 5 by 9 too:

5 x 9 = 45

Hope this helps!

Answer: A.

Step-by-step explanation: yes

Answer:

75 = k

Step-by-step explanation:

−60 = −0.8k

Divide each side by -.8

−60/-.8 = −0.8k/-.8

75 = k

The interval notation given to us means that x is between negative infinity and 5, excluding both endpoints.

So we can write [tex]-\infty < x < 5[/tex] which shortens to [tex]x < 5[/tex]

The graph will have an open hole at 5 on the number line, and shading to the left to indicate all points smaller than 5.

Answer:

Step-by-step explanation:

Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2

First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.

Multiply through by 16

48x+5= 12-2x-8

Next is to collect the like terms

48x+2x = -8+12-5

50x = -1

Divide both sides by 50

50x/50 = -1/50

x = -1/50

The value used to multiply both sides is 16 and the value of x is -1/50

Answer:

9x+5-6-8x+2

=(9x-8x)+(5-6+2)

=(x)+(+1)

=x+1

Answer:

3x - 4

Step-by-step explanation:

Difference means subtraction.

Times means multiplication.

Three times a number x; 3 * x = 3x

3x - 4

Best of Luck!

It's not mentioned exactly what we have to do but can be predicted that we have to frame equation on the basis of the given data.

Given, the number to be considered is x

The required equation will be:

➝ 3x - 4

And this is only our final answer. And we are done !

Carry On Learning [tex]![/tex]

Answer:

It is the first option

Step-by-step explanation:

hope this helps you

Step-by-step explanation:

6+3((4-2(4-7))

1. 6+3((2(4-7))

2. 6+3((2(*-3)

3. 6+3(-6)

4. 6+(3*-6)

5. 6+-18

6. -12

Answer:

w=-3

Step-by-step explanation:

Hey love, if the question itself is what the y-intercept stands for then it's the point when the line passes the y axis. if that wasn't your question give me some more context and i'll try my best to help!

Answer:

102

Step-by-step explanation:

20% of 85 is 17.

85+17 = 102

hope this helps! :)

Answer:

102

Step-by-step explanation:

To find the new amount, multiply 85 by 1.2

85(1.2)

= 102

So, when 85 is increased by 20%, the result is 102.

Answer:

is there an example? or picture?

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

Answer:

AB=2AM

3x-4=2(x+3)

3x-4=2x+6

3x-2x=4+6

x=10

So length AB 3x-4=3(10)-4

30-4=26

The length of AB is 26 units.

A line segment is denoted by two endpoints.

According to the given question M is the midpoint of segment AB.

Given, AM = x + 3 and AB = 3x - 4.

As AM is the midpoint if we take twice of AM that will be equal to AB.

∴ 2(AM) = AB

2(x+3) = 3x - 4.

2x + 6 = 3x - 4.

2x - 3x = -4 - 6.

-x = - 10.

x = 10.

So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.

= 30 - 4

= 26 units.

learn more about line segment here ;

https://brainly.com/question/25727583

#SPJ2

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i)

3×3+3(2i)-2i×3-2i(2i)

13

Hope this helps! :)

Answer: 13

Step-by-step explanation:

got it right