The formula D =3/2 (100 – C) relates D,
the temperature measured on the Delisle
scale, in degrees, and C, the temperature
measured on the Celsius scale, also in
degrees. What is the temperature in
degrees Celsius when the temperature in
degrees Delisle is 78°?
BO

Answer:

x = 3 and y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = 10

x - 4 y = -1

Express the system in matrix form:

(3 | 1

1 | -4)(x

y) = (10

-1)

Solve the system with Cramer's rule:

x = 10 | 1

-1 | -4/3 | 1

1 | -4 and y = 3 | 10

1 | -1/3 | 1

1 | -4

Evaluate the determinant 3 | 1

1 | -4 = -13:

x = 10 | 1

-1 | -4/(-13) and y = 3 | 10

1 | -1/(-13)

Simplify 10 | 1

-1 | -4/(-13):

x = -1/13 10 | 1

-1 | -4 and y = 3 | 10

1 | -1/(-13)

Simplify 3 | 10

1 | -1/(-13):

x = -(10 | 1

-1 | -4)/13 and y = -1/13 3 | 10

1 | -1

Evaluate the determinant 10 | 1

-1 | -4 = -39:

x = (-1)/13×-39 and y = -(3 | 10

1 | -1)/13

(-1)/13 (-39) = 3:

x = 3 and y = -(3 | 10

1 | -1)/13

Evaluate the determinant 3 | 10

1 | -1 = -13:

x = 3 and y = (-1)/13×-13

(-1)/13 (-13) = 1:

Answer:  x = 3 and y = 1

Answer:

31.1

Step-by-step explanation:

Answer:

31.1

Step-by-step explanation:

124.4 / 4

= 0.1 * (1244/4)

= 0.1 * 311

= 31.1.

Answer:

The cost of one-month gameplay is $39.33 or 39.

Step-by-step explanation:

Let the cost of one month = x

The cost of software = $50

The total amount that can be spent = $218

Therefore, we have to find the cost of one month of game play. Here is the following equation.

218 = (50 + x) + (50 + 2x)

218 = 100 + 3x

218 – 100 = 3x

118 = 3x

x = 118 / 3

x = 39.33 or 39

thus, the cost of one-month gameplay is $39.33 or 39.

Answer:

$252.50

Step-by-step explanation:

Furture value$252.50

Total Deposits: $200

Interest Earned: $52.50

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]6x+11=3x-1[/tex]

To solve this equation, we must first minus(subtract) 3x from both sides of the equation.

[tex]6x+11-3x=3x-1-3x[/tex]

And this equals:

[tex]3x+11=-1[/tex]

Now we must subtract again, but 11 times now.

[tex]3x+11-11=-1-11[/tex]

And this equals:

[tex]3x-12[/tex]

Now let's make this into a fraction to divide.

[tex]\frac{3x}{3}[/tex]

We get [tex]\frac{-12}{3}[/tex]

Now we got our answer:

[tex]x=-4[/tex]

Hope this helps!

Answer:

-4

Step-by-step explanation:

First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3

Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

Answer:

THE DISTANCE OF SUB IS 5892480000000IN

1MI=63630 IN

930000000MI=93000000×63360 IN=589248000000IN

X=NUMBER OF FIREFLIES

X=0.4IN=5892480000000IN

X=58924800000000IN×0.4IN

X=147312000000000

Answer:

This is wrong, I used this answer too and it was wrong.

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

BIDMAS

(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)

14 + 18 - 2 x 18 -7

the first thing we do is the multiplication (since there is no division in this question)

14 +18 − (2)(18) −7

14 + 18 - (36) - 7

32 - 36 - 7 = -11

Answer:

it would be 5.75

Hope this helps! :)

(make brainliest if it helped!!)

Answer:

-40

Step-by-step explanation:

The team won 16 games and lost 8 games.

Subtraction is one of the four basic arithmetic operations that is used to find the difference.

A football team won 8 more games than they lost. They played 24 games in the season. How many games were won and how many were lost?

The team lost n games.

The team won 8 more games than it lost, so it won n + 8.

The total number of games the team played was n + n + 8, or 2n + 8.

The team played a total of 24 games, so

2n + 8 = 24

We now solve for n.

2n + 8 = 24

2n = 16

n = 8 (lost games)

n + 8 = 8 + 8 = 16 (won games)

Hence, The team won 16 games and lost 8 games.

Learn more about subtraction here;

https://brainly.com/question/11328248

#SPJ2

Answer:

No

Step-by-step explanation:

Functions can only have 1 range per domain (Only 1 Y output per X). Another method is by using the vertical line test, and in this case it fails because more than 2 points are on the same vertical line (x = 1 and x = 2)

Answer:

3/4

Step-by-step explanation:

Answer:

[tex]8^{6}[/tex]

Step-by-step explanation:

power to power rule: multiply the bases

Answer:

262144

Step-by-step explanation:

(8²)³

When there is a power on top of a power, In this case (^2)^3, you DON'T Multiply 2 three times. You multiply two WITH 3.

SO,

(8²)³

=  8^6

Final answer =262144

Answer:

100 miles

Step-by-step explanation:

2 rides = 10$

3.5$=10 miles x 10=35$=100 miles

Answer:

6

Step-by-step explanation:

Since the x coordinates are the same, we are only concerned about the y coordinates

Find the difference between -1 and 5

5 - -1

5+1

6

The distance is 6

The absolute value is defined as

[tex]|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]

So for example, if x = 3, then |x| = |3| = 3, since 3 is positive. On the other hand, if x = -5, then |x| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.

For the inequality |7 + 8x| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.

• If 7 + 8x ≥ 0, then |7 + 8x| = 7 + 8x, so that

[tex]|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14[/tex]

• Otherwise, if 7 + 8x < 0, then |7 + 8x| = -(7 + 8x), so that

[tex]|7+8x|>5\implies-(7+8x)>5\implies7+8x<-5\implies8x<-12\implies x<-\dfrac32[/tex]

The solution to the inequality is the union of these two intervals.

Answer:

infinite number of solutions

Step-by-step explanation:

Given

5x - 1) + 2 = 2x + 3x - 3 ← distribute and simplify

5x - 5 + 2 = 5x - 3, that is

5x - 3 = 5x - 3

Since both sides are equal then there are an infinite number of solutions to the equation.

The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]

Plug in the values we know.

[tex]V=\pi (5)^2\frac{6}{3}[/tex]

[tex]V=\pi*25*2[/tex]

[tex]V=50\pi[/tex]

[tex]V=157[/tex]

^ If 3.14 was used for [tex]\pi[/tex]

Hope this helps.

頑張って!

Answer:

Width of Teacher desk = 30 in

Step-by-step explanation:

Given:

Length of student desk = 30 in

Width of student desk = 18 in

Length of teacher desk = 50 in

Find:

Width of Teacher desk

Computation:

Assume,

Width of Teacher desk = x

Teacher desk is similar to student desk

Length of student desk / Width of student desk = Length of teacher desk /  Width of Teacher desk

30 / 18 = 50 / x

x = [(50)(18)] / 30

Width of Teacher desk = 30 in

Answer:

D

1/2 is 0.5

5/8 is 0.625

Which one is less than 0.625 and greater than 0.5?

0.6

Answer:

The coordinates of point S are (4,-7).

Step-by-step explanation:

Given the locations of points S and T, the midpoint coordinates are set by midpoint formulas:

[tex]\bar x = \frac{x_{S}+x_{T}}{2}[/tex] and [tex]\bar y = \frac{y_{S}+y_{T}}{2}[/tex]

Where:

[tex]x_{S}[/tex], [tex]x_{T}[/tex] - x-Components of S and T.

[tex]y_{S}[/tex], [tex]y_{T}[/tex] - y-Components of S and T.

The coordinates of S are cleared:

[tex]x_{S} = 2\cdot \bar x -x_{T}[/tex]

[tex]y_{S} = 2\cdot \bar y - y_{T}[/tex]

If [tex]\bar x = 2[/tex], [tex]\bar y = -2[/tex], [tex]x_{T} = 0[/tex] and [tex]y_{T} = 3[/tex], the equations are now solved:

[tex]x_{S} = 2\cdot (2) -0[/tex]

[tex]x_{S} = 4[/tex]

[tex]y_{S} = 2\cdot (-2)-3[/tex]

[tex]y_{S} = -7[/tex]

The coordinates of point S are (4,-7).

Answer:  t₇ = 17     t₃₀ = 63       S₁₀ = 140

Step-by-step explanation:

t₇ = 2(7) + 3

  = 14 + 3

  = 17

t₃₀ = 2(30) + 3

    = 60 + 3

    = 63

S₁₀ = (t₁ + t₁₀)/2 × 10

    = (5 + 23)/2 × 10

    = 28/2  10

    = 14 × 10

    = 140

Answer:

R(-2,0)

S(0,-4)

T(-4,-3)

Step-by-step explanation:

So first you gotta subtract 2 from each x value and 1 from each y value. After you do that, you get:

R(0,2)

S(-4,0)

T(-3,4)

then i put it all onto a graph, and rotated it 90* counterclockwise, from the origin, which puts it in quadrant 3, with the final coordinates above.

Answer:

-2[tex]\sqrt{3x}[/tex] + 2[tex]\sqrt{15x}[/tex]

Step-by-step explanation:

Answer:

[tex]x = -\frac{1}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

D. 1x8

Step-by-step explanation:

7/8 rounded is 1. And 8 and 1/10 rounder is 8, so therefore your answer is 1x8.

hope this helps! :)

Answer:

They will not have met

Step-by-step explanation:

Train A will have traveled 275km in 5 hours and Train B will have traveled 425km in 5 hours. This means that they will be 700km closer to one another but still 400km apart