5 1/6 x 2 2/7 as a mixed number

Answer:

3, 10, -2/3

Step-by-step explanation:

I don't speak spanish, so I hope i did this right.

Problem 1

set equal to each other

2x+1=x+4

-4         -4

2x-3=x

-2x     -2x

-3=-x

times -1 to get a positive x

3=x

Problem 2

repeat steps

4x-5=3x+5

+5            +5

4x=3x+10

-3x    -3x

x=10

Problem 3

repeat steps

x=4x+2

-4x  -4x

-3x=2

divide

x=- 2/3

to find the y's, go back and plug in

Prob 1: y=(3+4) =7

Prob 2: y=[3(10)+5] =35

Prob 3: y=(-2/3) =-2/3

Answer:

1.)

y = 2x + 1

y = x + 4

Substitute

2x + 1 = x + 4

Subtract 1 on both sides

2x + 1 - 1 = x + 4 - 1

2x = x + 3

Subtract x on both sides

2x - x = x - x + 3

x = 3

Now that we have x we can use that for finding y

y = x + 4

y = 3 + 4

y = 7

x = 3

y = 4

( 3, 4 )

__________________________________________________________

2.)

y = 4x - 5

y = 3x + 5

Substitute

4x - 5 = 3x + 5

Add 5 on both sides

4x - 5 + 5 = 3x + 5 + 5

4x = 3x + 10

Subtract 3x on both sides

4x - 3x = 3x - 3x + 10

x = 10

Now that we have x, we can use that to find y

y = 3x + 5

y = 3 (10) + 5

y = 30 + 5

y = 35

x = 10

y = 35

( 10, 35)

__________________________________________________________

3.)

y = x

y = 4x + 2

Substitute

x = 4x + 2

Subtract 4x on both sides

x - 4x = 4x - 4x + 2

-3x = 2

Divide -3 on both sides to isolate the variable

-3x/-3 = 2/-3

x = -2/3

Now that we have that we can use it to find y

y = x

y = -2/3

x = -2/3

y = -2/3

( -2/3, -2/3)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

33.6kg

Step-by-step explanation:

30kg : 100% = x kg : 112%

100x = 112 x 30

100x = 3360

3360 divided by 100

= 33.6kg

Answer:

The number of :

Red carnations sold = x = 687 carnations

Pink carnations sold = y = 342 carnations

How many of each carnation were

Step-by-step explanation:

Let us represent

The number of :

Red carnations = x

Pink carnations = y

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.

The number of red carnations sold was 3 more than 2 times the number of pink carnations sold.

x = 3 + 2y .....Equation 1

Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 .

$0.50 × x + 0.75 × y = $600

0.5x + 0.75y = 600...... Equation 2

Using substitution method:

Let us substitute, 3 + 2y for x in Equation 2

0.5(3 + 2y) + 0.75y = 600

1.5 + y + 0.75y = 600

y + 0.75y = 600 - 1.5

1.75y = 598.5

y = 598.5/ 1.75

y = 342 carnations.

Solving for x

x = 3 + 2y .....Equation 1

x = 3 + 2(342)

x = 3 + 684

x = 687 carnations

Therefore, The number of :

Red carnations = x = 687 carnations

Pink carnations = y = 342 carnations

Answer:

y = −4

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

Hope this helps!

Make sure to stay safe, or else. :> ^-^

Answer:

3.14 would be the answer

You can isolate the variable by subtracting 6 from both sides.

e.g.

x + 6 = 13

  -  6   - 6

Now we have x = 7, which not only isolates the variable but solves for x.

If you don't know why we can subtract from both sides, look up the Addition Property of Equality and Subtraction Property of Equality.

It is chromatic because of all the colors.

Answer:

The third option

Step-by-step explanation:

It explains the purpose of it.

Answer: 30:00$

Step-by-step explanation:

Because 20% is 5 dollars i think 25+5 is 30 If i'm wrong please Correct.

Answer:

28.50/3=r

Step-by-step explanation:

Answer:

28.50 divided by 3.

Step-by-step explanation:

This is because if 28.50 is the total and we know she worked for 3 hours that means that the answer to our equation: 9.5 means that each hour she worked for she was given 9.50 or 9.5 dollars. We can check this by doing 9.5 x 3 which gives us 28.5 or 28.50. :)

Answer:

[tex]x = 75[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps[/tex]

Answer:

5 + 2j Amps

Step-by-step explanation:

current in part one = 3 -2j A

Current in second part = 2 + 4j

Total amps in the circuit = 3 - 2j + 2 + 4j

Collect the like terms

Total amps in the circuit = 3+2-2j+4j

Total amps in the circuit = 5 + 2j

Hence the total amps in the circuit is 5 + 2j Amps

The total amps in the circuit described is; 5 +2j

Since current flows in the same direction in a series circuit.

We can evaluate the total current that flows in the circuit as follows;

Read more;

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Answer:

Additional fee or hour = $8.5

y = $2 + 8.5x

Step-by-step explanation:

Given that :

Total paid = $36

Number of hours = 4

Initial rental fee = $2

Additional fee per hour = a

Total amount = initial rental fee + additional fee per hour * number of hours

36 = 2 + 4a

36 - 2 = 4a

34 = 4a

a = 8.5

Hourly fee = $8.5

Therefore, the cost formula

y = initial fee + regular fee * number of hours

y = $2 + 8.5x

Answer:

1 7/10 or 1.70

Step-by-step explanation:

6 1/2 - 9/10

Convert the mixed number to an improper fraction

13/2 - 9/10

Find a common denominator for these 2 fractions, and in this case it can be 10

13 * 2/ 5 * 2

26 / 10 - 9/10

17/10

1 7/10 as a fraction or 1.70 as a decimal

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

I dont know

Step-by-step explanation:

Answer:

-(x+4)(x-7)

Step-by-step explanation:

Factor out 28. Whichever pair equals to 3 would be the correct pair for factorization. In this case, it's 7 and -4

C

Because it is not a constant change

Answer:

29.99 - 1.29s ≤ 75

Step-by-step explanation:

s = songs on Apple Music

≤ = less than or equal to

So for example we have

1/2 divided by 1/6

What we will do it’s

Leave the first one As it is

Turn the second fraction (the one you want to divide by) upside down

The change the divide to multiply

Multiply the first fraction by that reciprocal

Simplify the fraction (if needed)

So it’s will be like this

1/2 x 6/1 = 6/2

Simplify it

6/2 =3

I hope it’s will help u ✨

Answer and Step-by-step explanation:

Given the function y = 5x where x is the total number of cars parked in her lot and y is the total money earned. Since x is the independent variable as the money earned, y, depends on the amount of cars parked, we can say that the domain (the actual values the independent variable can assume) of this function is:

x = {0, 1, 2, 3, . . .}

This is because x, the number of cars, can never be a negative number..

Also, the range, the set of all the values of the dependent variable y, is: {all the numbers divisible by 5, including 0}

Answer:

The width of parking lot is 30 yards.

Step-by-step explanation:

Given that:

Area of rectangular parking lot = 1650 yards square

Length of parking lot = 55 yards

Width of parking lot = x yards

Area of rectangle is given by:

A = Length * Width

1650 = 55x

Dividing both sides by 55

[tex]\frac{55x}{55}=\frac{1650}{55}\\x=30[/tex]

Hence,

The width of parking lot is 30 yards.

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

A hot air balloon is descending at a rate of 287 feet per minute.

Thus, the rate of change m = -287

The negative sign indicates that a hot air balloon is descending.

Let y be elevation.

Let x be the time (in minutes)

As there is no mentioning of the initial height.

Thus, the y-intercept b = 0

now substituting m = -287 and b = 0

y = mx + b

y = -287x + 0

y = -287x

In order to determine the total change in elevation of the balloon in 4 minutes, we need to substitute x = 4 in the equation y = -287x.

Thus, the total change in elevation of the balloon in 4 minutes will be:

y = -287x

y = -287(4)

y = -1148 feet

The negative sign indicates that that the elevation is decreasing.

Answer:

B

Step-by-step explanation:

answer: $1,440

explanation: here’s the equation with the values in this case

>> interest = 7,000 x 0.05 x 4

after multiplying, you get 1,440, which is the simple interest

**tip: turn the rate/percent into a decimal, then multiply

Answer:

m = 145

Step-by-step explanation:

All angles inside a parallelogram = 360

∠ABC = ∠ADC

35 = ∠ADC

360 = 2(∠ABC) + 2( ∠DAB)

360 = 70 + 2( ∠DAB)

290 = 2( ∠DAB)

145 = ∠DAB

The adjacent angle of the parallelogram are supplementary angles. If the angle ∠ABC is 35°. Then the angle ∠DAB will be 145°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

In the parallelogram ABCD, the angle ∠ABC is 35°.

We know that adjacent angle of the parallelogram are supplementary angles.

∠ABC + ∠DAB = 180°

35° + ∠DAB = 180°

∠DAB = 180° – 35°

∠DAB = 145°

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Answer:

Surface Area of a Triangular Prism Calculator

In the general surface area is defined as the total area the surface of the object occupies. A triangular prism is a polyhedron that  has a triangular base. It has 5 faces and 9 edges. Use our online surface area of a triangular prism calculator to efficiently calculate the total surface area occupied by the triangular based prism. Enter the triangle's sides, base, height, and prism height in the prism calculator to find the SA of the triangular prism.

Step-by-step explanation:

Answer:

The fraction 4/14 is equal to 2/7 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (2/7) by the same interger number, ie, multiply by 2, 3, 4, 5, 6

Answer:

AX=XF

4y+3=2y+7

4y-2y=7-3

2y=4

y=2

then,

AX=4y+3

=4×2+3

=8+3

=11

The value of length AX of parallelogram is 11.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposite sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

∵ ACFG is a parallelogram, therefore length of diagonal will be equal

∴AX = XF

4y+3 = 2y+7

4y-2y = 7-3

2y = 4

y = 2

Therefore, length of AX is :

AX = 4y+3

     = 4×2+3

     = 11

option (c) is correct answer

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Given:

The equation is

[tex]x+p=q[/tex]

To find:

The formula where x is the subject of the given formula.

Solution:

To make x the subject of the formula, we need to isolate the variable x.

We have,

[tex]x+p=q[/tex]

Subtracting p from both sides, we get

[tex]x+p-p=q-p[/tex]

[tex]x+0=q-p[/tex]

[tex]x=q-p[/tex]

Therefore, the required formula of x is [tex]x=q-p[/tex].

Answer:

q-p = x

Step-by-step explanation: