Is (-3, 8) a solution to the equation 2x+5y=50? Show or explain how you know.

Answer:

x= 30, y= 90

Step-by-step explanation:

Let the smaller number be x and the greater number be y.

Given that the sum of the 2 numbers is 120,

x +y= 120 -----(1)

The greater number is 3 times the smaller number:

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

Substitute (2) into (1):

x +3x= 120

Simplify:

4x= 120

x= 120 ÷4 (÷4 on both sides)

x= 30

Substitute x= 30 into (2):

y= 3(30)

y= 90

Answer:

Let the first number be x

Then the second number will be 3 × x = 3x

According to the question

3x + x = 120

4x = 120

Taking 4 to RHS

x = 120/4

x = 30

Number are

x = 30

3x = 3(30) = 90

[tex] \\ [/tex]

Answer:

2/5

Step-by-step explanation:

Answer:

the given value x=13 is not a solution of the inequality

Step-by-step explanation:

we first need to solve this inequality (can treat the inequality like a normal equation to solve it)

5x-17 > 62

5x > 79

x>(79/5)

keep in mind that (79/5)=15.8

so x needs to be bigger than 15.8 in order to satisfy this inequality.

since 13<15.8 when x=13 it does not satisfy the inequality

therefore the given value x=13 is not a solution of the inequality

Answer:

B keeping his debt above 30% of his credit card limit.

Given:

The line passes through the points (2,0) and (4,3).

To find:

The point-slope form of the given line.

Solution:

The point slop form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.

The line passes through the points (2,0) and (4,3). So, the slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-0}{4-2}[/tex]

[tex]m=\dfrac{3}{2}[/tex]

The slope of the line is [tex]m=\dfrac{3}{2}[/tex] and the point is (4,3). So, the point slope form of the given graphed line is:

[tex]y-3=\dfrac{3}{2}(x-4)[/tex]

Therefore, the point slope form of the given line is [tex]y-3=\dfrac{3}{2}(x-4)[/tex].

Answer:

2a+4=14

2a=14-4

2a=10

a=10/2

a=5

have a nice day

#Captainpower

Answer:

hi

Step-by-step explanation:

2a+4=14

2a=14-4

2a=10

a=10/2

a=5

have a nice day

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

Answer:

Suppose we have a system of two linear equations, this can be written as:

y = a*x + b

y = c*x + d

Now, we have 3 possible cases here.

The solutions of the system are the points where the graphs of the linear equations do intersect.

Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.

And we know that two lines are parallel if they have the same slope and different y-intercept.

Then the system:

y = a*x + b

y = a*x + c

has no solutions.

If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:

y = a*x + b

y = a*x +b

has infinite solutions.

And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:

y = a*x + b

y = c*x + d

has only one solution.

Now, if we have more equations:

y = a*x + b

y = c*x + d

y = k*x + n

We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.

One case where we have a solution here is if the 3 equations have the same y-intercept:

y = a*x + b

y = c*x + b

y = d*x + b

where the solution is the point (0, b)

Of course, there are other possible solutions, but these are not as formulaic as this ones.

Answer: 27 times. 1/3 litres is 9 litres

Step-by-step: divide 9 by 1/3 litres , 9:(1/3) = 9·3

Answer:

1. BC=25

2. DC=30

Step-by-step explanation:

In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.

lmk if im wrong, hope this helps :)

Answer: 1625

Step-by-step explanation: So if you want to make 13 of one recipe it said that in 1 recipe there's 125 cups of sugar so you need to multiply 123 by 13 so do this 125 x 13 = 1625 and then there, you have your answer 1,625 cups of sugar for 13 things of the recipe.

Answer:

hyperbola

Step-by-step explanation:

Sana makatulong

Answer:

18.18%

Step-by-step explanation:

66 - 54 = $12

% change - 12/66 * 100

simplify - 12/66 --> 2/11

2/11 * 100

200/11

18.18%

Answer:

600 ft

Step-by-step explanation:

Mark as brainilest

And I'm only 80% sure that is the correct

Answer:

printf(“%d”, i++);

Step-by-step explanation:

Answer:

count += 1

OR

count = count + 1

Step-by-step explanation:

count = 0

numbers = int(input("Enter a number: "))

while number > 0:

    number = number // 10

    count +=1

print("Total number of digits", count)

Answer:

The value of a₂₇ is 788

Step-by-step explanation:

a₁₉ = 548

a₃₃ = 968

Now,

a₁₉ = 548 can be written as

a + 18d = 548 ...(1) and

a₃₃ = 968 can be written as

a + 32d = 968 ...(2)

Now, from equation (2) we get,

a + 32d = 968

a + 18d + 14d = 968

548 + 14d = 968 (.°. a + 18d = 548)

14d = 968 - 548

14d = 420

d = 420 ÷ 14

d = 30

Now, for the value of a put the value of d = 30 in equation (1)

a + 18d = 548

a + 18(30) = 548

a + 540 = 548

a = 548 - 540

a = 8

Now, For a₂₇

a₂₇ = a + 26d

a₂₇ = 8 + 26(30)

a₂₇ = 8 + 780

a₂₇ = 788

Thus, The value of a₂₇ is 788

-TheUnknownScientist

Answer:C

Step-by-step explanation:332 square in

Answer:

The answer is C, 332 in.2.

Step-by-step explanation:

Just did the unit test on edge. Hope this was able to help, have a good day <3 :)

Answer:

8

Step-by-step explanation:

After 30 minutes Emily and Jennifer charged an equal amount

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Let us find charges for emily and Jennifer

For Emily

The line passing through points (0, 6) and (6, 8)

Slope =2/6=1/3

y intercept is 6

6=b

Equation is y=1/3x+6

Now let us find for Jennifer (0, 4) and (5, 6)

m=2/5

y intercept is 4

Equation is y=2/5x+4

Now equation both equations

1/3x+6=2/5x+4

1/3x-2/5x=4-6

x(1/3-2/5)=-2

x(5-6)/15=-2

-x/15=-2

x=30

Hence, after 30 minutes Emily and Jennifer charged an equal amount

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

Answer:

2.8

Step-by-step explanation:

i used a calculator

Divide the figure into 3 shapes: 2 rectangles and 1 square

Area of rectangle 1: L * W

L = 5, W = 2

2 * 5 = 10 m^2

Area of rectangle 2: L * W

L = 6 + 2 , W = 3

8 * 3 = 24 m^2

Area of square: s^2

2^2 = 4 m^2

Add all them together

10 + 24 + 4 = 38 m^2

Step-by-step explanation:

Area of the top Horizontal Rectangle =

Length x Width

=

[tex](5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} [/tex]

Area of the bottom vertical rectangle =

Length x Width

=

[tex]6 \times 3 \\ = 18 {m}^{2} [/tex]

Total Area = Sum of Area of 2 Rectangles

=

[tex]20 + 18 \\ = 38 {m}^{2} [/tex]

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

Answer:

a) red

b) red

c) the blue one is y=1/2x+1

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Answer:

29 degrees

Step-by-step explanation:

x + 61 = 90

x = 90 - 61

x = 29

Step-by-step explanation:

[tex]y = -\frac{2}{3}x + 4[/tex]

[tex]y = \frac{1}{3}x - 2[/tex]

Since both equations are set equal to [tex]y[/tex], we can take the right-hand side of each equation and set them equal to each other to solve for [tex]x[/tex]:

[tex]-\frac{2}{3}x + 4 = \frac{1}{3}x - 2[/tex]

[tex]-\frac{2}{3}x - \frac{1}{3}x = -2 - 4[/tex]

[tex]-x = -6[/tex]

[tex]x = 6[/tex]

Now we can plug this value into either equation to solve for [tex]y[/tex]:

[tex]y = \frac{1}{3}x - 2[/tex]

[tex]y = \frac{1}{3}(6) - 2[/tex]

[tex]y = 2 - 2[/tex]

[tex]y = 0[/tex]

So the solution to the system of equations is [tex](6, 0)[/tex]

Answer: radius is is 12.

Step-by-step explanation:

Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .

Sorry, I'm not sure on the bottom part

We know,

The general equation for circle is –

[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]

[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]

[tex] \bf r \: = \: radius [/tex]

[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]

[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]

[tex] \bf Radius \: = \: 12 [/tex] [Answer]

__________________________________________________

NOTE – Refer the above attachment.

__________________________________________________

Answer:

[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]

Step-by-step explanation:

Incomplete question:

[tex]\angle CBD = 53^\circ[/tex]

[tex]\angle CAB = 35^\circ[/tex]

[tex]AB = 75[/tex]

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line

[tex]\angle ABC + 53= 180[/tex]

Collect like terms

[tex]\angle ABC =- 53+ 180[/tex]

[tex]\angle ABC =127^\circ[/tex]

[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle

[tex]\angle ACB + 127 + 35 = 180[/tex]

Collect like terms

[tex]\angle ACB =- 127 - 35 + 180[/tex]

[tex]\angle ACB =18[/tex]

Apply sine rule

[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]

In this case:

[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]

This gives:

[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]

Step-by-step explanation:

sin18

∘

)

=

x

(sin35

∘

)

Step-by-step explanation:

Incomplete question:

\angle CBD = 53^\circ∠CBD=53

∘

\angle CAB = 35^\circ∠CAB=35

∘

AB = 75AB=75

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line

\angle ABC + 53= 180∠ABC+53=180

Collect like terms

\angle ABC =- 53+ 180∠ABC=−53+180

\angle ABC =127^\circ∠ABC=127

∘

\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle

\angle ACB + 127 + 35 = 180∠ACB+127+35=180

Collect like terms

\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180

\angle ACB =18∠ACB=18

Apply sine rule

\frac{\sin A}{a} = \frac{\sin B}{b}

a

sinA

=

b

sinB

In this case:

\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}

AB

sinACB

=

x

sinCAB

This gives:

\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}

75

(sin18

∘

)

=

x

(sin35

∘

)