How many solutions does this system have?
5x - y = 3
2y = 10x+2
one
two
an infinite number
no solution
please help!

Answer:

<AFB

Step-by-step explanation:

Supplementary angles are the angles that's sum up to 180° which is called a straight angle.

In this question we see AFB is supplementary to DFA for DFB is the straight angle.

Answer:the answer  is a

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

We are given the Perimeter: P = Perimeter[tex]3\frac{1}{2}x + 18[/tex]    in decimal 3.5x+18

we know that a Perimeter is equal to all sides added up: S1+S2+S3+S4=P

we know that this is a rectangle so that means that it has 4 sides and two sides are the same and the other 2 are the same.

We are given the the height on the image

Height: H = [tex]\frac{1}{4}x + 5[/tex]  in decimal 0.25x + 5

That height is one side so we know another of the sides is the same.

Perimeter is equal to all sides added up. So we have to subtract the sides to find out each ones measurements.

(Height x 2) + (Width x 2) = Perimeter

Therefore we know the height which is given on the image is 0.25x+5 so that times 2 = 0.5x+10    (height x 2)

so now we can subtract the heights from the perimeter.

  3.5x  +  18

-  0.5x  +  10

--------------------

  3x     +    8

So we got rid of both heights. Now we are left with our two lengths:

3x+8  = (length x 2)

To get the length of one side we divide that by 2 because there are 2 sides that have the same length and get 1.5x+4  in fractions that is:

  [tex]1\frac{1}{2}x + 4[/tex]

I hope this helped you or anyone else that needs the answer :)

Hope it will help u..............

Answer: 4

Step-by-step explanation:

Multiply 4 by 2/3 and 1/2 (calculator) or you can put 4 like 4/1 than multiply 4/1 *3/2 and 4/1 * 1/2

Top times top and bottom times bottom

The equation which shows the correct use of the distributive property is - 6x + 2 = -15

Given:

-4(3/2x - 1/2) = -15

multiply separately

-4(3/2x) -4(-1/2) = -15

-12/2x + 4/2 = -15

- 6x + 2 = -15

solve for x

-6x = -15 - 2

-6x = -17

x = -17/-6

x = 2.83

Therefore, the equation which shows the correct use of the distributive property is

- 6x + 2 = -15

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Answer:

[tex]57.2\ ft[/tex]

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

[tex]tan(5^o)=\frac{y}{x}[/tex]

we have

[tex]y=5\ ft[/tex]

substitute and solve for x

[tex]tan(5^o)=\frac{5}{x}[/tex]

[tex]x=\frac{5}{tan(5^o)}[/tex]

[tex]x=57.2\ ft[/tex]

Answer:

297.26 feet to the nearest hundredth.

Step-by-step explanation:

We use the cosine ratio here because we know the hypotenuse and need the adjacent side.

cos 42 = adj / hyp

= x / 400

x = 400 cos 42

x = 297.26 feet.

Answer:

6y = -17x + 17

Step-by-step explanation:

All you have to do for this equation to put it into slope-intercept form is to minus 17x from both sides giving you 6y = -17x + 17 which is the correct form. Then you can simplify by dividing everything by 6 but I'll let you do that.

Answer:

Jack has 48 rockets in all. He wants to split them equally into 6 groups. How much rockets do he put into each group?

Let "how much" = x. Set the equation:

x * 6 = 48

(x * 6)/6 = (48)/6

x = 48/6

x = 8

8 groups is your answer.

~

Answer:

No solution.

Step-by-step explanation:

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

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

-1/2x+1/2x=3

0=3

no solution

Answer:

122 degree

Step-by-step explanation:

As we know that

Sum of all angles of triangle = 180 degree

Angle A + Angle B + Angle C = 180

Angle A + 43 + 15 = 180

Angle A + 58 = 180

Angle A = 180-58

Angle A = 122

Answer:

Yes! the ratio 8:16 is equivalent to 1:2

Answer:

100 times bigger

Step-by-step explanation:

Answer:

Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

For example, express 36 + 8 as 4 (9 + 2).

Step-by-step explanation:

We have,

[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]

To find, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] = ?

∴ [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]

[tex]=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}[/tex]

[tex]=\dfrac{24}{35} +\dfrac{16}{35}[/tex]

Taking LCM of denominator, we get

[tex]=\dfrac{24+16}{35}[/tex]

[tex]=\dfrac{40}{35}[/tex]

Dividing numerator and denominator by 5, we get

[tex]=\dfrac{8}{7}[/tex]

∴ The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]

Hence, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] is equal to [tex]\dfrac{8}{7} .[/tex]

When y is equal to -6, the evaluation of the formula [tex]y^2 + 7y - 5[/tex] is -11.

In order to assess this mathematical statement when y=-6, we substitute -6 for y in the expression y² + 7y - 5.

This evaluation's outcome is a score of -11.

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For, "x" greater than 34, the perimeter of the picture frame greater than 152 inches

Solution:

Let "x" be the width of the frame

Given that, The length of a picture frame is 8 inches more than the width

Therefore,

Length = width + 8

Length = x + 8

The perimeter of rectangle is given by formula:

Perimeter = 2(length + width)

Substituting the values we get,

Perimeter = 2(x + 8 + x)

Perimeter = 2(2x + 8)

Perimeter = 4x + 16

The perimeter of the picture frame greater than 152 inches

Perimeter > 152

[tex]4x + 16>152\\\\\text{Subtract 16 from both sides of inequality}\\\\4x + 16 - 16 > 152 - 16\\\\4x>136\\\\\text{Divide both sides by 4}\\\\x>34[/tex]

Therefore, for, "x" greater than 34, the perimeter of the picture frame greater than 152 inches

Answer:

x>35

Step-by-step explanation:

Answer:

A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.

Total distance covered by the man in terms of 'x' = (12.5x-285)miles

Step-by-step explanation:

Given:

Speed of  a man = 'x' miles/hour

Time taken = [tex]3[/tex] hour

So, distance = product of speed and time.

Distance covered in term of 'x' [tex]=(d_1=3x)[/tex]

Now,

Speed = [tex](2x-60)[/tex] miles/hour

Time taken= [tex]4.75[/tex] hours

Distance [tex](d_2)[/tex]  = [tex](2x-60)\times 4.75[/tex]

                      = [tex](2x\times 4.75) -(60\times 4.75)[/tex]

                      = [tex](9.5x - 285)[/tex] miles

Total distance covered by the man = Summation of  [tex]d_1[/tex] and [tex]d_2[/tex]

                                                           = [tex](9.5x-285+3x)[/tex]

                                                           = [tex](12.5x-285)[/tex] miles

So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.

The equation of a line is y = mx + b  [m is the slope, b is the y-intercept or the y value when x = 0  ---->  (0, y) or the point where the line goes through the y-axis]

To find the slope, you use the slope formula (m):

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]           and plug in 2 points

I will use the points (0, 0) and (1, 8)

(0, 0)  ---->  (x₁, y₁)

(1, 8) ---->   (x₂, y₂)

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

[tex]m=\frac{8-0}{1-0}[/tex]

m = 8

Since you know m, plug it into the equation.

y = 8x + b

The graph shows that the y-intercept is 0, so plug it into the equation

y = 8x    

Answer:

4 cm

Step-by-step explanation:

this is the answer on egde:)

Answer: 2

Step-by-step explanation:

I got it right on a unit test review

Answer:

8 units

Step-by-step explanation:

-4 is 4 units from the y-axis

4 is 4 units from the y-axis.

4 + 4 = 8 units

Have a great day :D

Answer:

C: -4 ≤ x ≤ -3

Step-by-step explanation:

-8x + 3 ≥ 27

x ≤ -3

-13x + 5 ≥ 57

x ≤-4

It’s A y’all mad goofy for choosing C

X < -4

Answer:

=[tex]12.25[/tex][tex]\pi[/tex]

Step-by-step explanation:

Given:

Length of  butcher paper,(diameter of three congruent circle) = 21 inches

Means, diameter of a circle = [tex]\frac{21}{3}[/tex] = 7 inches

Questioned asked:

Area of one circle = ?

Solution:

Radius of a circle ,r = half of of one circle's diameter

                           r = [tex]\frac{7}{2}[/tex]

                            = [tex]3.5[/tex]

Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

                      [tex]3.5\times3.5[/tex] [tex]\pi[/tex]

                      =[tex]12.25[/tex][tex]\pi[/tex]

  Therefore, Area of one circle   ==[tex]12.25[/tex][tex]\pi[/tex]

Answer:

6

Step-by-step explanation:

if 3/4 = x/8 then x = 6 because you have to multiply 4 by 2 to get 8. in the same way 3×2 = 6

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Answer:

-17

Step-by-step explanation:

f(n)=-5n-2

f(3)=-5(3)-2

f(3)=-15-2

f(3)=-17

Answer:

Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one

Step-by-step explanation:

1. What information was given to us to answer the question correctly?

Amount of cottage cheese Ramon has = 7/8 of a cup

2. How many 1/4 cup servings can he make?

For answering this question, we make this calculation:

7/8 * 1/4

7/8 * 4/1 = 28/8 = 7/2 or 3 1/2 cup servings

This means that Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one:

1/4 + 1/4 + 1/4 + (1/2 * 1/4) = 7/8

3/4 + (1/2 * 1/4) = 7/8

3/4 + 1/8 = 7/8

6/8 + 1/8 = 7/8

7/8 = 7/8

Answer:

Divide 2 by 1/6 and you should get the value of x.

Step-by-step explanation:

simple 2 step equation.

Answer: x = 12

Step-by-step explanation: In this equation, notice that x is being multiplied by a fraction. In this situation, in order to get x by itself, we must multiply both sides of the equation by the reciprocal of that fraction. The reciprocal of a fraction is just that fraction flipped so the reciprocal of 1/6 is just 6/1.

So here, in order to get x by itself, we multiply both sides of the equation by 6/1. On the left our 6's cancel and our 1's cancel and we're left with x. On the right we have 2 x 6 which simplifies to 12 so x = 12.

Answer:

$69

Step-by-step explanation:

1 - 0.25 = 0.75

original price * (1 - markdown) = sale price

$92 * 0.75 = sale price = $69

a)

During week 0, the number of specialty items produced at the old factory than at the new factory is 33

b)

Old factory

The growth rate from week 0 to week 1 is 20.

The growth rate from week 1 to week 2 is 22.

New factory:

The growth rate from week 0 to week 1 is 30.

The growth rate from week 1 to week 2 is 32.

c)

The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory

in week 4.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Old factory:

f(x) = 223 (1.09)^x

When x = 0,

f(0) = 223(1.09)^0 = 223(1) = 223

In zero weeks, the number of specialties produced is 223.

When x = 1,

f(1) = 223(1.09)^1 = 243.07 = 243

When x = 2,

f(2) = 223(1.09)^2 = 265.32 = 265

When x = 3,

f(3) = 223(1.09)^3 = 290.41 = 290

When x = 4:

f(4) = 223(1.09)^4 = 318.53 = 318

New factory:

(0, 190), (1, 220), (2, 252), (3, 290), (4, 337)

This means,

(0, 190)

In zero weeks, the number of specialties produced is 190.

Thus,

a)

During week 0, the number of specialty items produced at the old factory than at the new factory.

= 223 - 190

= 33

b)

The growth rates in the weekly number of specialty items produced at each factory.

Old factory:

The growth rate from week 0 to week 1 = (243 - 223)/(1 - 0) = 20/1 = 20

The growth rate from week 1 to week 2 = (265 - 243)/(2 - 1) = 22/1 = 22

New factory:

The growth rate from week 0 to week 1 = (220 - 190)/(1 - 0) = 30/1 = 30

The growth rate from week 1 to week 2 = (252 - 220)/(2 - 1) = 32/1 = 32

c)

The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory

in week 4.

i.e

f(4) = 223(1.09)^4 = 318.53 = 318

(4, 337)

318 < 337

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Answer: if your question is the same as mine, it should be correct!

Step-by-step explanation:

(a) 40 more specialty items, as 230 (initial value at the Old Factory) minus 190 is 40.

(b) y2 – y1/x2 – x1

252-220/2-1

32

(c) The new factory seems to have a faster production rate.

(d) Week 3 is the week when the production is faster at the New Factory.

p(w)=230(1.1)^w

p(w)=230(1.1)^3

p(w)=230(1.33100)

p(w)= 306.13

At week 3 for the Old Factory, it seems that there is less production happening than the 3rd week at the New Factory.

hopefully this helped :3

C = circumference of circle with radius r

C = 2*pi*r

C = 2*3.14*3500

C = 21,980

C = 22,000 rounding to 2 significant figures (3500 is also 2 sig figs)

Answer: Volume = a^4 * b^6

Step-by-step explanation:

Volume = (a^2*b)*(a*b^2)*(a*b^3)

Volume = a^2 * b * a * b^2 * a * b^3

Volume = a^4 * b^6