1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentinak56 [21]
3 years ago
7

Pedro's Diner is open six days a week. His income for the first five days this week was

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

$330

Step-by-step explanation:

What is mean/average?

It is the "sum of all the numbers" divided by the "number of numbers".

An average of 200 for 6 numbers means:

Average=\frac{SUM}{NumberOfNumbers}\\200=\frac{SUM}{6}\\SUM=200*6\\SUM=1200

THus, if we were to add the 6 numbers, we would get "1200". Let the 6th number be x, so we can write:

120 + 110 + 200 + 300 + 140 + x = 1200

870 + x = 1200

x = 1200 - 870

x = 330

To make the average $200, Pedro needs to make $330 on 6th day.

You might be interested in
I need help plz help me what does Suspend mean like you account got suspend does it mean it's ban for ever
nasty-shy [4]

Answer:

no if your account got suspended  it means you have been banned for a while not forever

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Y=-3x+5 5x - 4y= -3 solvining systems of equations by substitution
andreyandreev [35.5K]
\left\{\begin{array}{ccc}y=-3x+5\\5x-4y=-3\end{array}\right\\\\\\substitute\\\\5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x-20=-3\\17x=-3+20\\17x=17\ \ \ \ /:17\\x=1\\\\y=-3\cdot1+5=-3+5=2\\\\  \left\{\begin{array}{ccc}x=1\\y=2\end{array}\right
4 0
3 years ago
The first term of an AP is 2 and the
yanalaym [24]

Answer:

Sn = n/2[2a + (n-1)d]

n=11

a=2

d=3

Sn= 11/2[2(2) + (11-1)3]

Sn= 11/2(34)

Sn = 11x17

=187.

7 0
3 years ago
Pls show work! questions on pic
Lena [83]

Answer:

a.(10,23)

b.(7,30)

e.(20,20)

Step-by-step explanation:

We are given that

x=Width of garden

y=Length of garden

According to question

x\geq 5

y\geq 20

Perimeter of rectangle=2(x+y)

Where x=Width  of rectangle

y=Length of rectangle

Fencing used =2(x+y)

2(x+y)\leq 80

First we change inequality  into equality

x=5...(1)

y=20...(2)

2(x+y)=80

x+y=40...(3)

Substitute x=0 in equation (3)

y=40

Substitute y=0  in equation (3)

x=40

Substitute x=0 and y=0 in equation (3)

2(x+y)\leq 80

0\leq 80

It is true. Therefore, the  shaded region below the line.

0\geq 5

0\geq 20

These are false equation .Therefore, the shaded region above the line.

Substitute x=5 in equation (3)

5+y=40

y=40-5=35

Substitute y=20 in equation (3)

x+20=40

x=40-20=20

Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).

Now,

a.(10,23)

Substitute in

2(x+y)\leq 80

2(10+23)\leq 80

66\geq 80

10>5 and 23>20

it satisfied all inequality.

Hence, it is a solution.

b.(7,30)

7>5

30>20

2(7+30)=74

it satisfied all inequality.

Hence, it is a solution.

c.(18,25)

18>5

25>20

2(18+25)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

d.(8,35)

8>5

35>20

2(8+35)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

e.(20,20)

2(20+20)=80

20>5

20=20

it satisfied all inequality.

Hence, it is a solution.

4 0
3 years ago
Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
Other questions:
  • What is 2.30+30= <br>5.30 True or false or<br>2.60 true or false ​
    10·2 answers
  • Hat is the simplified form of 24r-3( 2r-5t)-4t?
    13·1 answer
  • You took any loan of $9,015.20 to buy a car. The loan is to be paid back in 48 equal monthly payments how much is each payment r
    11·1 answer
  • Hi! Can someone answer these for me, please?
    11·1 answer
  • Find the x- and y- intercepts of the line. 2X+3y=-18
    13·1 answer
  • Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use isla
    12·1 answer
  • What is the length of the base of a right triangle with an area of 20 square meters and a height of 4 meters?
    5·2 answers
  • Tony is a salesperson who earns $560 per week plus $60 for each sale he makes. This week, he wants to earn at least $920. Write
    15·1 answer
  • Please help I have (5 days left)
    11·1 answer
  • WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!