help

How many terms are in the following
expression:

5x + 3 - x +2x + 2/3x​

The way that one number in the second equation be changed so the system has only one solution is;  to divide each term by 2 to get the coefficient of y as 5.

There are different methods to solve simultaneous equations such as;

We are given the equations as;

3x + 5y = 4

16x + 10y = 4

Now, we want to perform an operation whereby we make the second equation be changed so the system has only one solution. This method is the elimination method.

The elimination method is the process that we use to eliminate one of the variables in the system of linear equations with the aid of the addition or subtraction methods as well as multiplication or division of coefficients of the variables.

Now, since we have 5y in the first equation, the first step to carry out on the second equation is to divide each term by 2 to get the coefficient of y as 5.

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Answer:

125=16t², t²=125/16=√7.8125=2.7951 ,hence t=3secounds

Answer:

Jane paints faster if I may be correct

By using a linear equation, it is obtained that

Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =

3 miles

What is linear equation?

At first, it is important to know about equation.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The equation y = 31.5x represents the number of miles, y, that Daniel can drive his car for every x gallons of gas

Distance driven by Daniel in 1 gallon of gas = [tex]31.5 \times 1 = 31.5 \ miles[/tex]

Bo uses 9 gallons of gas to drive 256.5 miles in his car.

Bo uses 1 gallon of gas to drive [tex]\frac{256.5}{9}[/tex] miles in his car.

Bo uses 1 gallon of gas to drive 28.5 miles in his car.

Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =

31.5 - 28.5 = 3 miles

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Complete Question

The complete question has been attached here.

The equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.

According to the question,

We have the following information:

We have the point (-4,3) and a slope of 3/4.

We know that the following formula is used to find the equation passing through any point:

(y-y') = m(x-x') where m is the slope and in this case, y' = 3 and x' = -4

y-3 = 3/4{x-(-4)}

y-3 = 3/4 (x+4)

Multiplying 3/4 into the bracket:

y-3 = 3x/4 + 3

Moving -3 from the left hand side to the right hand side:

y = 3x/4+3+3

y = 3x/4+6

Hence, the equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.

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The equation of the line in the slope intercept form is y = (-1/2)x + 60

From the given graph,

Choose two points

(0, 60) and (40, 40)

The slope of the line the change in y coordinates with respect to the change in x coordinate of the function

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in the equation

= [tex]\frac{40-60}{40-0}[/tex]

= -20/40

= -1/2

From the graph we can say that,

y intercept of the line = 60

The slope intercept form is

y = mx + b

where m is the slope of the line

b is the y intercept

y = (-1/2)x + 60

Hence, the equation of the line in the slope intercept form is y = (-1/2)x + 60

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The perimeter of the rug is 37.2

The first line says that the rug is twice as long as its width. If the width is taken as w and length is taken as l, we get an equation l= 2w. Since it is a rectangle, the area of the rectangle will be (length*width) which is equal to l*w.

Since l=2w, area = 2w*w = 2w^2. This is given equally to 76.88.

2w^2 = 76.88

w^2 = 38.44

w = 6.2

l = 2w = 2*6.2 = 12.4

Now, perimeter of rectangle is 2w+2l = 2*6.2 + 2*12.4 = 37.2

Hence the perimeter of the rug is 37.2

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Answer: x=4

Step-by-step explanation: simplify expression and divide polynomials

Answer:

The second plan ($15.00 for 15 songs) offers the lowest cost per song.

Step-by-step explanation:

The objective is to find the plan that provides the lowest cost per song.  "Lowest cost per song" is basically $/song.  So let's compare the two plans by calculating the cost per song.

Plan 1:  $9.60/(8 songs)    = $1.20/song

Plan 2: $15.00/(15 songs) =  $1.00/song

The second plan ($15.00 for 15 songs) offers the lowest cost per song.

The value of x is 5 for the given equation 5/3 = x/3.

So, the equation is:

Now, solve for x as follows:

Therefore, the value of x is 5 for the given equation 5/3 = x/3.

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Correct question:

Solve for x. 5/3= x/3

Answer:

  A)  n > 0

Step-by-step explanation:

You want the solution and graph for -8n +18 > -6(3n -3).

Eliminating parentheses, we have ...

  -8n +18 > -18n +18

Subtracting 18 gives ...

  -8n > -18n

Adding 18n, we have ...

  10n > 0

Finally, dividing by 10 gives ...

  n > 0

The graph is attached.

Answer:

Step-by-step explanation:

3b(2x - z^3)  = 2h - 7gx      Distribute 3b

6bx - 3bz^3 = 2h - 7gx      Add 3bz^3 to both sides

6bx = 3bz^3 + 2h - 7gx    Add 7gx to both sides

6bx + 7gx = 3bz^3 + 2h     Factor left side, factor out a gcf of x

x(6b + 7g) = 3bz^3 + 2h     Divide both sides by (6b + 7g) to isolate x

x = (3bz^3 + 2h)/ (6b + 7g)

Answer:

your answer is [tex]27/60[/tex] and [tex]7/60[/tex]

Answer:

By comparing both the figures there is a difference of 6

[tex]x + 1 = 24 - 6 \\ x = 24 - 6 - 1 \\ x = 17[/tex]

Answer:

no

Step-by-step explanation:

because the equation is supposed to be y=mx+b and the x comes after slope which is after m

Answer: Yes

Step-by-step explanation:

Linear functions are functions whose graph is a straight line. The function has to be in the form y=a+bx in order to be linear. Second, for any given change in x, the change in y will always be the same value.

The number 1/8 represent the fraction of full sheet of paper the teacher asked each student to color.

The information given are;

The information given are

= 1/4 of 1/2x

= 1/4 × 1/2x

= 1/8x

So therefore, the student colored 1/8 of the original piece of paper.

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The value of the correlation coefficient is 0.625.

Correlation coefficients quantify the strength of a relationship between two variables. A correlation coefficient is a number ranging from -1 to 1 that indicates the degree and direction of a relationship between variables. It is a statistical notion that aids in the establishment of a relationship between predicted and actual values collected in a statistical experiment.

In this case, the slope of the model was 2.5 centimeters per pH level, and the standard deviation of the sample of plant heights was 4 centimeters.

The correlation coefficient will be:

= Slope / Standard Deviation

= 2.5 / 4

= 0.625

The coefficient is 0.625.

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Assuming the question is : "how much does 1 box of blueberries cost?"

After he bought 5 boxes of blueberries and 3 watermelons, he was left with $16.50

Therefore, 5 boxes of blueberries and 3 watermelons cost $60.50 - $16.50 = $44

We are given the cost of 1 watermelon is $8.30

Therefore, 3 watermelons cost $8.30 x 3 = $24.90.

-> 5 boxes of blueberries cost $44 - $24.90 = $19.10

-> 1 box of blueberries cost $19.10 : 5 = $3.82

Answer:

If your trying to find the total of the 5 boxes of blue berries the answer is

$19.10

Step-by-step explanation:

60.50 - 16.50 = 44$ meaning he spent that much.

8.30 x 3 = 24.9

19.10 + 24.9 = 44

hope this helps

Answer: 9

Step-by-step explanation:

        Finding the zeros is the same as solving. Then, we will add the two solutions together.

Given:

y = x² - 9x - 10

Solving by Quadradic Formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\displaystyle x=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(-10)} }{2(1)}[/tex]

[tex]\displaystyle x=\frac{9\pm\sqrt{81+40} }{2}[/tex]

[tex]\displaystyle x=\frac{9\pm\sqrt{121} }{2}[/tex]

[tex]\displaystyle x=\frac{9+11}{2},\;\;x=\frac{9-11}{2}[/tex]

x = 10, -1

Adding them together:

10 + -1 = 9

From the figure

A. alternate interior angles:  1

B. same side exterior: 4

C. vertical: 4 and 3

D. same side interior: 3

E. obtuse angle: 1

F. adjacent angle pairs: 1 and 2

G. alternate exterior: 2

H. corresponding: 4

I. complimentary:

parallel lines refer too lines that would never meet. When there is a pair of parallel lines with a transversal line like in the figure some angle theorems come into play  

some of the are used in the in the problem and definition of some them include

adjacent angles refer to angles that are next to each other, such angles are being demarcated by a line to the other angle. in the figure angle 1 and 2 alternate angles

Obtuse angles refers to angles that are more than 90 degrees but less than 90 degrees

vertical angles are angles opposite to each other, formed when two lines meet

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The probability that a designer does not prefer red is 0.77.

Probability (event) = favorable outcome / total outcome

Total primary color designers = 400.

The number of opinions for red = 92

The probability for designer prefer red = 92 /100

The probability for designer prefer red = 0.23

Then, the probability that a designer does not prefer red = 1 - 0.23

The probability that a designer does not prefer red = 0.77

Thus, the probability that a designer does not prefer red color = 0.77.

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The correct question along with table is attached-

There  are no prime numbers between7,608 and 7,620

A prime number is a whole number greater than 1 whose only factors are 1 and itself

The numbers between 7608 and 7620 are:

7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619

Here we have to check these numbers are prime number or not

Prime factorization

7609=7×1087

7610=2×5×761

7611=3×43×59

7612=2×2×11×173

7613=23×331

7614=2×3×3×3×3×47

7615=5×1523

7616=2×2×2×2×2×2×7×17

7617=3×2539

7618=2×13×293

7619=19×401

Hence, proved that there are no prime numbers between7608 and 7620

To find the parallel line of y =3z+6 passing through the slope intercept points (-2,5).

For a line to be parallel to another line, by definition it must have the same slope.

Because the equation is in the slope-intercept form we can use the slope of the line.

The slope- intercept form of a linear equation is :

y=mx+b

Where m is the slope and b is the y− intercept value.

Therefore, for the given equation, the slope is 3.

Now we can use the point slope formula to determine the equation for the parallel line.

The point - slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1,y1) is a point the line passes through.

Substituting the slope from the given line and the given point gives:

y−5=3(x+2)

Transforming this to the slope-intercept form by solving for y gives:

y−5=3x+6

y−5+5=3x+6+5

y=3x+11

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Answer:

2 3/5

Step-by-step explanation:

First, change all terms to improper fraction

We have;

13/2÷5/2

13/2 ×2/5

13/5

Change to mixed fraction, we have;

2 3/5

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The simplest simplified form of the given expression is 3 9/10.

First, let us understand the mixed number;

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the appropriate fraction that results in the mixed number.

Change all the given terms to improper fractions, we will get;

6 1/2 = (6 * 2 + 1) / 2 = 13 / 2

1 2/3 = (1 * 3 + 2) / 3 = 5 / 3

We are given;

13/2 ÷ 5/3

= 13/2 × 3/5

= 39/10

Change to mixed fraction, we will get;

39/10 = 3 9/10

Thus, the simplest simplified form of the given expression is 3 9/10.

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Answer:

$470

Step-by-step explanation:

%30 of 470 = $141

Answer: $470

I hope it help

The quadratic function has only maximum value :

[tex]F(x)_{min}[/tex] = 30

x = 3

There is no minimum value of the quadratic function.

Given,

In the question:

The quadratic function is given as:

F(x) =  [tex]-3x^2+18x +3[/tex]

Determine whether the following quadratic function has a maximum or a minimum value. Then find  the maximum and minimum value of the function.

Now, According to the question:

The quadratic function is given as:

F(x) =  [tex]-3x^2+18x +3[/tex]

Take out the leading coefficient

F(x) = -3[tex](x^2-6x)+3[/tex]

Complete the square:

F(x) = [tex]-3(x^2+(2(-3))x + (-3)^2)+(3-(-3)^2))[/tex]

Express the function in vertex form

F(x) = [tex]-3(x-3)^2+30[/tex]

To  find the maximum value

[tex]F(x)_{min}[/tex] = 30

x = 3

For Minimum value:

F(x) = [tex]-3x^2 +18x +3[/tex]

Rewrite the function by completing the square

F(x) = [tex]-3(x-3)^2+30[/tex]

The graphs always open downwards

So, There is no minimum value of the quadratic function.

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The street was 900m long when the speed is 15m/s and, the time is 60 seconds.

To calculate speed, divide the distance traveled by the time it took to complete the voyage, so speed = distance divided by time. To determine the distance, multiply the speed by the passage of time. These equations can be reduced as s=d/t, where s represents speed, d represents distance, and t represents time.

Distance divided by time equals speed. Distance = time * speed

To solve for speed or rate, utilize the speed formula, s = d/t, which implies speed equals distance divided by time. To solve for time, utilize the time formula, t = d/s, which implies time equals distance divided by speed.

Given,

Speed of the biker who travels down the street=15m/s

Time taken=60seconds

Distance=?

We know that,

Distance=Speed× Time

Distance=15×60

Distance=900m

Therefore, the street was 900m long

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Answer:

Step-by-step explanation: