Rearrange the equation so b is the independent variable. 4a+b=−52

It's an equilateral triangle. The angles have measure 60°.

Therefore we have the equations:

6x + 6 = 60        subtract 6 from both sides

6x = 54     divide both sides by 6

x = 9

5y + 10 = 60      subtract 10 from both sides

5y = 50      divide both sides by 5

y = 10

Answer:

10. I just took the test

Step-by-step explanation:

8 (7) - 4 =

56 - 4 = 52

I hope this helps! Have a good night!

Answer: 90

Step-by-step explanation:because  if you times 10 to get 30 so you also times it by 9 so 9 x 10 = 90

Answer:

There was 36 apples and it had to be divided between five friends and they all had to get the exact same number of apples. However, the number o people was odd and the number of apples was even. At the end, how many apples would each kid get and how many would be left.

Step-by-step explanation:

36/5 = 7.2

7 apples X 5 kids = 35 apples in total

36 - 35 = 1 apple left

7 R1

Answer:

18.75  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

8 hours = 30 gallons

30 ÷ 8 = 3.75 gallons of water used per hour

3.75 x 7 = 26.25 gallons used in 7 hours

45 - 26.25 = 18.75 gallons left after 7 hours

Answer:

C. First and fourth quartiles

Step-by-step explanation:

Let's see what outliers are.

If a data value is very far away from the quartiles (either much less than Q1 or much greater than Q3 ), it is sometimes designated an outlier .

Therefore, from the above definition.

Outliers are always in " first and fourth quartiles"

Answer: C. First and fourth quartiles.

Thank you.

Answer:

which one was it

Step-by-step explanation:

Answer:

The correct option is C. The given graph represents the function f(x)=sin(x).

Step-by-step explanation:

From the given graph it is clear that the initial value of the function is 0.

The maximum value of function is 1 at [tex]x=\frac{\pi}{2}[/tex].

The minimum value of function is -1 at [tex]x=\frac{3\pi}{2}[/tex].

The period of the function is 2π.

The x-intercepts are 0, π, 2π.

These are the properties of a positive sine function. The given graph represents the function f(x)=sin(x).

Therefore the correct option is C.

To confirm the solution find the value of each function at x=0, and [tex]x=\frac{\pi}{2}[/tex]. The function must be satisfy by the points (0,0) and [tex](\frac{\pi}{2},1)[/tex]

For option (1),

[tex]f(x)=-\cosx[/tex]

[tex]f(0)=-\cos(0)=-1\neq 0[/tex]

Therefore option 1 is incorrect.

For option (2),

[tex]f(x)=\cosx[/tex]

[tex]f(0)=\cos(0)=1\neq 0[/tex]

Therefore option 2 is incorrect.

For option (3),

[tex]f(x)=\sinx[/tex]

[tex]f(0)=\sin(0)=0[/tex]

[tex]f(\frac{\pi}{2})=\sin(\frac{\pi}{2})=1[/tex]

Therefore option 3 is correct.

For option (4),

[tex]f(x)=-\sinx[/tex]

[tex]f(0)=-\sin(0)=0[/tex]

[tex]f(\frac{\pi}{2})=-\sin(\frac{\pi}{2})=-1\neq 1[/tex]

Therefore option 4 is incorrect.

Answer:

it would be 30

Step-by-step explanation:

you are rounding the tenth so the .45 is not important

you just need to look at 28 which is closer to 30 than it is to 20.

The equation of the given straight line in slope-intercept form is y = 3x + 9. The y-intercept or the point at which the line crosses the y-axis (0,9), and the rate of change or slope of the line is 3.

The equation of a line in slope-intercept form is expressed as y = mx + b where m represents the slope of the line, and b represents the y-intercept.

Given the information from the figure, the slope m is 3 and the y-intercept b is 9. Therefore, the equation of the line in slope-intercept form can be written as y = 3x + 9.

The line intersects the y-axis at (0,9) which is the y-intercept in coordinate form. The rate of change, represented by the slope, is 3, which means for every increase of 1 unit on the x-axis, the y-value increases by 3 units.

https://brainly.com/question/22057368

#SPJ11

Look at the picture.

Angles KJL and SRT are Corresponding angles. JK is parallel to RS. Therefore

m∠KJL = m∠SRT

Other method.

Calculate the slope.

The formula of a slope:

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

We have the points J(-6, -6) and L(2, -2). Substitute:

[tex]m=\dfrac{-2-(-6)}{2-(-6)}=\dfrac{-2+6}{2+6}=\dfrac{4}{8}=\dfrac{1}{2}[/tex]

The slope of JL is 1/2.

We have the points R(4, -1) and T(8, 1). Substitute:

[tex]m=\dfrac{1-(-1)}{8-4}=\dfrac{1+1}{4}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

The slope of RT is 1/2.

From the figure, the slope of RT is the same as the same of JL.

Two figures are said to be similar if the they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, both triangle TSR and LJK are similar.

The slope of RT is the same as the same of JL.

Find out more on Similar figures at: https://brainly.com/question/22143822

Answer:

c  This is the direct variation

Step-by-step explanation:

The equation for direct variation is y= kx

Solving this for k

y/x =k

So y/x must be a constant

a.  9/3 =3

2/7 does not =3  so this is not a direct variation

b 1/2 = .5

-3/6 = -.5

This is not the same so this is not a direct variation

c.  27/9 =3

18/6 =3

9/3 =3

This is a direct variation with a constant of 3

d 5/-7 = -5/7

1/-3 = -1/3

This is not the same so this is not a direct variation

Answer:

C

Step-by-step explanation:

The equation you are looking for must look something like y = k*x

The easiest way to find it is to try 2 points to see if k would be equal in both cases. Do this for each choice.

A

k is not the same in both case. A is not the  answer.

==================

B

Using the steps above

B is not the answer.

=====================

C

C is the answer

====================

You can try D yourself

Answer:

y = 13x

Step-by-step explanation:

Answer: C: 10

Step-by-step explanation: You need to use the equation a^2+b^2=c^2. So it's 6^2+8^2=x^2.

36+64=100

Square root of 100 is 10

10^2 = 100

For a y-intercept, the x-coordinate will always be 0.

The y-intercept is the point that a line or a function crosses the imaginary line of y, which is between x = -1 and x = 1.

This point is at x = 0, and every y-intercept will always have an x-value of 0, as that is what makes it a y-intercept.

The x-coordinate of any y-intercept is always 0. This is because the y-intercept is the point where the line crosses the y-axis, and along that axis, the x-coordinate never changes from 0.

The x-coordinate of any y-intercept is always 0. This is due to the definition of a y-intercept. A y-intercept is a point where the line crosses the y-axis. The x-axis and y-axis intersect at the point (0,0) and along the y-axis, the x-coordinate is always 0 regardless of where you are on that axis.

Imagine a horizontal line across any scatter plot. As this line moves up or down along the y-axis, the x-coordinate remains at 0, because it is not moving left or right along the x-axis. Therefore, this makes the x-coordinate of any y-intercept always 0.

https://brainly.com/question/34923499

#SPJ3

Answer:

3/4

Step-by-step explanation:

If he is 1/3 of the way to school, then the total distance he has to walk is 3 times what he has walked so far:

3*(1/4) -3/4

The distance from home to school is 3/4 mile.

There are no answer choices, so I will just list a few. But first, we need to create the equation.

Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.

So, 7=3*5+b

7=15+b

b = -8

y=3x-8 is your equation.

So, you can plug in any value of x you get a certain value of y.

(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13)

Answer:

(6, 10)

Step-by-step explanation:

slope = [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{3}{1}[/tex]

to find another point on the line add 3 to the y-coordinate and add 1 to the x-coordinate

(5, 7) → (5 + 1, 7 + 3) → (6, 10) ← other point on line

continue to do this for other points

(6, 10) → (6 + 1, 10 + 3) → (7, 13)

Answer:

25 cents

or

.25 of a dollar (1.00)

Answer:

y = 3x-3

Step-by-step explanation:

y = mx+b

m is your slope and b is your y-intercept

plug those numbers in

y = 3x-3

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have m = 3 and b = -3. Substitute:

Answer:

30.75 hours

Step-by-step explanation:

Let

x----> the number of hours worked last week

y ----> the number of hours that Juan work this week

we know that

To find out how many hours does Juan work this week, multiply the number of hours worked last week by 1.5

so

[tex]y=1.5x[/tex]

we have

x=20.5 hours

substitute

[tex]y=1.5(20.5)=30.75\ hours[/tex]

Answer:

Measures 1 and 3

Step-by-step explanation:

Eighth notes appear as a quarter note with flag on the end. Dotted quarter notes are quarter notes with a dot.

Answer:

y = 125x+225

The programmer chargers a flat fee of 225 and then $125 per hour.

The charge for a 25 hour project is $3350

Step-by-step explanation:

To find the slope  (y2-y1)/(x2-x1)

          m = (1475-725)/(10-4)

             = 750/6

             =125

The slope is $125

Using the point slope form of the equation for a line

y-y1 = m(x-x1)

y-725 = 125(x-4)

Distribute the 125

y-725 =125x-500

Add 725 to each side

y-725+725 = 125x-500+725

y = 125x+225

The programmer chargers a flat fee of 225 and then $125 per hour.

If you have a 25 hour long project, let x =25

y = 125(25) + 225

y= 3125+225

y = 3350

Answer:

Values of n and m is; 45 and 9

Step-by-step explanation:

As per the given statement: The value of n is both 5 times as much as the value of m and 36 more than the value of m.

"value of n is 5 times as much as the value of m" means [tex]n = 5m[/tex]

"value of n is 36 more than the value of m" means [tex]n = 36 +m[/tex]

then we have an equation:

[tex]n = 5m[/tex]                          ......[1]

[tex]n = 36 +m[/tex]                     ......[2]

Substitute the value of n from equation [1] to [2] we get;

[tex]5m = 36 +m[/tex]

Subtract m from both sides we get;

5m -m = 36 + m -m

Simplify:

4m = 36

Divide both sides by 4 we get;

m = 9

Substitute the value of m=9 in equation [1];

n = 5(9)

n = 45

Therefore, the value of m = 9 and value of n =45

The value of n is 5 times the value of m and is also 36 more than the value of m. By solving two equations, we can find that the values of n and m are 45 and 9, respectively.

The value of n is 5 times the value of m and is also 36 more than the value of m. Let's represent the value of m as x. According to the given information, we can write two equations:

n = 5m

n = m + 36

Now we can solve these equations to find the values of n and m. Substituting the value of n from the first equation into the second equation, we get:

5m = m + 36

Subtracting m from both sides of the equation:

4m = 36

Dividing both sides of the equation by 4:

m = 9

Plugging the value of m back into the first equation, we get:

n = 5(9) = 45

Therefore, the values of n and m are 45 and 9, respectively.

https://brainly.com/question/14076739

#SPJ3

Answer:

Russell:  40 pounds; Sarah:  100 pounds; and Terry:  160 pounds.

Step-by-step explanation:

The three different amounts of money are 2x, 5x and 8x, or 15x.

Terry gets 8x, whereas Russell gets 2x, and 8x - 2x = 120 pounds.

Solving for x, 6x = 120 pounds, and so x = 20 pounds.

Russell gets 2(20 pounds);  Sarah gets 5(20 pounds); and Terry gets 8(20 pounds), or 40 pounds, 100 pounds and 160 pounds.  Note that 40 pounds is 120 pounds less than 160 pounds, as required by the problem.

In this ratio problem, the total money is split into 15 portions. Each portion is worth 20 pounds. Russell gets 40 pounds, Sarah gets 100 pounds and Terry gets 160 pounds.

The subject of this question is ratios and its application to practical problems. In this problem, Russell, Sarah and Terry share money in the ratio 2:5:8, meaning the total money is shared in 15 portions (2+5+8). As we know that Russell gets 120 pound less than Terry, which would be 6 portions (8 portions for Terry - 2 portions for Russell).

Therefore, each portion of money is equal to 120 pound divided by 6, which is 20 pound. So, Russell receives 2 portions which equals 40 pound (2 x 20), Sarah receives 5 portions which equals 100 pound (5 x 20) and Terry receives 8 portions which equals 160 pound (8 x 20).

https://brainly.com/question/32531170

#SPJ3

4 over 4 (4/4) is equal to 1.

The equation can be rewritten as X = 4/32

4/32 can be simplified to 1/8

So you have X = 1/8

Answer:

1/8

Step-by-step explanation:

to simplify 4/32, you just have to see how many times 4 goes into 32, in this case the answer is 8. A good rule of thumb is if the smaller number is on the top of the fraction, you will get a fraction for an answer, so the 4 turns into 1 and the 32 turns into 8.

Answer:

57.5 or 58

Step-by-step explanation:

1150 = 20x

Divide both sides by 20 to get 57.5

To be proper, you should say that 58 gallons will be used.

It all depends on the teacher, but I know that mine used to tell me to round these types of things up. If you would like to be more exact, just put 57.5 gallons.

Answer:

The image with 25, 144 and 169 represents proof of the Pythagorean Theorem.  

Step-by-step explanation:

The Pythagorean Theorem is used to find the missing side of a right triangle.  The formula is a^2 + b^2 = c^2, where 'a' and 'b' represent the legs of the triangle (the ones the form the 90 degree angle) and 'c' represents the hypotenuse (the diagonal across from the 90 degree angle).  In the case of the three squares, the area of each square is given.  The area of a square is simply the base multiplied by the height, which in the case of a square those dimensions are the same.  So, taking the square root of 25 = 5, the square root of 144 =12 and the square root of 169 = 13.  If we apply the Pythagorean Theorem formula, we get 5^2 + 12^2 = 13^2, or 25 + 144 = 169.  This image proves the Pythagorean Theorem holds true.  

Answer:

If N is 38, next even number would be 40

Step-by-step explanation:

Any number ending with 0 2 4 6 8 is even, sorry if this ins't what you were asking I didn't understand completely

Answer:

a=[tex]\frac{3}{x^{2} }[/tex]

b=5

Step-by-step explanation:

we are given

[tex]\frac{3}{x} }[/tex]+[tex]\frac{5}{x^{2} }[/tex]=ax+[tex]\frac{b}{x^{2} }[/tex]

we will compare both sides of equaion

 [tex]\frac{b}{x^{2} }[/tex]=[tex]\frac{5}{x^{2} }[/tex]

comparing both sides we get

b=5

and

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

a=[tex]\frac{3}{x^{2} }[/tex]

hence

a=[tex]\frac{3}{x^{2} }[/tex]

and   b=5

Answer:

a=3

b=5

Step-by-step explanation:

answers on edge

The equation representing the taxi company's charges is y = 2.50 + 1.10x. With $10, you can afford to travel approximately 6.82 miles.

The taxi company's charges can be represented by a simple linear equation. The basic charge of $2.50 is the y-intercept of the equation, which means it's the starting point before any miles are driven. The $1.10 per mile charge, on the other hand, is the slope of the line and represents the cost for each mile driven.

So the equation to represent this situation would be y = 2.50 + 1.10x where y is the total cost and x is the number of miles driven.

To find out how far you can travel with $10, you would set y to 10 and solve for x:

10 = 2.50 + 1.10x

To solve for x, subtract 2.50 from each side of the equation:

7.50 = 1.10x

So you could travel approximately 6.82 miles with $10.

https://brainly.com/question/32634451

#SPJ2

Hey there!

In order for you to solve this equation, you could do PEMDAS

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

                 [tex]1.567+2.345-1.83(5)[/tex]

                [tex]1.567+2.345= 3.912[/tex]

                [tex]3.912- 1.83(5)[/tex]

               [tex]1.83(5) = 9.15[/tex]

              [tex]3.912 -9.15 = -5.238[/tex]

[tex]\boxed {AnswerB: -5,238}[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

-5.238

Step-by-step explanation:

Remember your order of operations. Multiplication happens before subtraction.

3.912 - 9.15

-5.238