Solve for x.

0.5x+78.2=287

Answer:

We can conclude that the room temperature on Saturday was 24°C

Step-by-step explanation:

For a set of N values:

{x₁, x₂, ..., xₙ}

The mean of the set is calculated as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

In this case, our set is the temperature of 7 days (so we have 7 elements)

{T₁, T₂, T₃, T₄, T₅, T₆, T₇}

Such that:

T₆ = temperature on Saturday

T₇ = temperature on Sunday.

We know that:

"The mean room temperature from Monday to Saturday is 25°C"

Then:

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6}{6} = 25 C[/tex]

"the mean room temperature of Saturday and Sunday is 28°C"

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

"The mean room temperature from Monday to Sunday is 26°C"

[tex]\frac{T_1 + T_2 + T_3 + T_4 + T_5 + T_6 + T_7}{7} = 26 C[/tex]

So we have 3 equations.

Let's rewrite:

T₁ + T₂ + T₃ + T₄ + T₅ = A

Then we can rewrite our equations as:

[tex]\frac{A+ T_6}{6} = 25 C[/tex]

[tex]\frac{T_6 + T_7}{2} = 28C[/tex]

[tex]\frac{A + T_6 + T_7}{7} = 26 C[/tex]

Removing the "Celcius" and multiplying in the 3 equations by the denominator on both sides, we get:

A + T₆ = 6*25

T₆ + T₇ = 2*28

A + T₆ + T₇ = 7*26

We now need to solve that system for T₆

The first step is to isolate one of the variables in one of the equations, (because we want to solve this for T₆ , let's not isolate that one). Let's isolate A in the first one:

A = 6*25 -  T₆

A = 150 -  T₆

Now we can replace this on the other two equations:

T₆ + T₇ = 2*28

(150 -  T₆ ) + T₆ + T₇ = 7*26

Now, let's isolate T₇  in the top equation to get:

T₇  = 2*28 - T₆

T₇  = 56 - T₆

Now we can replace this in the last equation to get:

(150 -  T₆ ) + T₆ + (56 - T₆)  = 7*26

Now, we can solve this for T₆

150 - T₆ + T₆ + 56 - T₆ = 182

-T₆ = 182 - 150 - 56

-T₆ = -24

T₆ = 24

We can conclude that the room temperature on Saturday was 24°C

Answer:

a common denominator

Step-by-step explanation:

Answer:

Step-by-step explanation:

I got 408.33. dont know how to help you out

Answer:

8400 cents

Step-by-step explanation:

SI=P×T×R

100

300×4×7

100

=$84

=8400 cents

Answer:

$396.94

Step-by-step explanation:

formula:

[tex]PV*e^{rt}\\300*e^{.07*4}=396.938943701[/tex]

which rounds to 396.94

Answer:

A

Step-by-step explanation:

Edge 2021

The point justifies the shaded area is (1, 1).

Thus, the standard equation of an ellipse is x²/ a² + y²/ b² = 1.

This equation defines an ellipse centered at the origin. If a > b , the ellipse is stretched further in the horizontal direction, and if b > a , the ellipse is stretched further in the vertical direction.

Given:

x²/ 16 + y²/ 4 ≤ 1

As, the given equation is in the form of an ellipse is x²/ a² + y²/ b² = 1.

Now, when we plot the Equation in the graph we get the elliptical shape.

From the given point the point which lies inside the graph is (1, 1).

Learn more about Equation of Ellipse here:

https://brainly.com/question/28028155

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Probability  that the two numbers are multiples of 3 after replacing first

It is a branch of mathematics that deals with the occurrence of a random event.

The odd integers from11 to 22 are

11,13,15,17,19,21

So there are 6 events

Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.

One number out of these 2 numbers can be chosen in 2 ways.

Therefore, favourable number of elementary events = 2.

Required probability =2/6=1/3

Hence 1/3 is the probability  that the two numbers are multiples of 3 after replacing first

To learn more on probability click:

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Answer:

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

[tex]\longrightarrow[/tex] 90° + (4x + 10)° + (2x + 26)° = 180°

[tex]\longrightarrow[/tex] 126° + 6x = 180°

[tex]\longrightarrow[/tex] 6x = 180° - 126°

[tex]\longrightarrow[/tex] 6x = 54°

[tex]\longrightarrow[/tex] x = 9

Angles =

[tex]\longrightarrow[/tex] 4(9) + 10

[tex]\longrightarrow[/tex] 46°

[tex]\longrightarrow[/tex] 2(9) + 26

[tex]\longrightarrow[/tex] 44°

The angles are 46°, 90° and 44°.

Answer: Cal's answer must be incorrect because the sum of angles is incorrect.

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees.

According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.

Sum of angles = 65+45+60

i.e. Sum of angles = 170 which is not equal to 180

Hence, Cal's answer must be incorrect because the sum of angles is incorrect.

Volume of Cube = a³

side a = 5 Cm

Volume = 5³ = 125 Cm³

Answer:

125m³

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Volume of a cube = a³ (where a = length of each side of a cube)

SOLUTION :-

Volume of the cube = 5³ = 125 m³

Answer:

B | 6

Step-by-step explanation:

First, find the length of the wire by finding the perimeter of the rectangle

2(5) 2(7) = 24

If a square has 4 sides, put 24 as the numerator and 4 as the denominator.

24/4

Now, divide it and you'll get 6, the answer.

Answer:

c = sqrt(106)

Step-by-step explanation:

Since this is aright triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 9^2 = c^2

25 +81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106) = sqrt(c^2)

c = sqrt(106)

Answer:

Yes, it is better.

Step-by-step explanation:

3 oz. = $0.75

multiply each by 4

12 oz. = $3

Answer:

NO

Step-by-step explanation:

(4) 3oz bags are 12 ounces

0.75 * 4 = $3.00

So the 12 oz bag is not a good buy.

Answer:

B ) P 215 V 235

Peter 35×5=175+40=215

Veronica 35×5=175+60=235

Answer:

past participle

Step-by-step explanation:

all of the other ones are correct

Answer:

[tex]\frac{3}{5} X\frac{5}{3}[/tex] is greater than [tex]\frac{3}{5}[/tex]

Answer:

A

Step-by-step explanation:

The best way to prove the answer is to equate the two equation and solve for the x-coordinate..however in these equation the x value is zero so the y value will alternatively be zero hence there lines consist of no points of intersection

Answer:

<E

Step-by-step explanation:

Answer:

∠E is the answer I believe

If i'm wrong correct me!!

(°◡°♡).:｡

Answer:

$66.00

Step-by-step explanation:

first we need multiply :D I will use the formula I =prt

principal= $500

rate=3.3%

time= 4 years

but we need to convert the percent, 3.3%, to a decimal

3.3%=0.033 or .033

now we multiply !

500 × 0.033 × 4 = 66 = $66.00

Step-by-step explanation:

Let V be the volume of the cone.

The student says that, the volume of a cone with a 4-inch diameter is two times the volume of a cone with the same height and a 2-inch radius.

If diameter is 4 inch, radius = 2 inch

Volume of the cone,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] .......(1)

If radius, r = 2 inch

New volume,

[tex]V=\dfrac{\pi }{3}\times 2^2\times h\\\\V=\dfrac{4\pi h}{3}[/tex] ....(2)

We can see that the volume in both case is same. Hence, the student is correct.

Answer:

59.50

Step-by-step explanation:

Answer:

80miles

Step-by-step explanation:

400=L

L[tex]\sqrt{400[/tex]

=20

to find p

4L

4(20=80

Answer:[tex]31.17\ in[/tex]

Step-by-step explanation:

Given

Edge length of cube is [tex]a=18\ in.[/tex]

From the figure, distance between the opposite corner of the tank is

[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]

Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]

Answer:

a-d=90

e= 34

f= 56

g= 56

h= 34

i= 34

j= 56

k= 56

Answer:

Median is 6

hope it helps u!!! have a great day ahead..

Answer:

6

Step-by-step explanation:

because a median means. the number located at the centre of of the Patten

Answer:

x = 10

Step-by-step explanation:

2x = 20°

x = 20/2

x =10

Answer:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation: