Does y = 3/4 x + 6 and y = -3/4 x + 5 have one solution

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:

answer is yes

Step-by-step explanation:

Yes, the total distance can be represented as a function of fuel. The relationship between the two variables can be represented by a linear function. By calculating the slope and y-intercept of the line, we can determine the equation representing the total distance as a function of fuel. which is y = 4x - 20

Yes, the total distance can be represented as a function of fuel. In this case, the fuel can be considered as the independent variable and the total distance as the dependent variable. By analyzing the table, we can observe that as the amount of fuel increases, the total distance also increases. This relationship can be represented using a linear function, since the data points seem to form a straight line.

A linear function can be written in the form y = mx + b, where y represents the total distance, x represents the amount of fuel, m represents the slope of the line (which indicates how the total distance changes with each unit of fuel), and b represents the y-intercept (which represents the initial distance when there is no fuel).

By calculating the slope of the line using two data points, we can determine the equation of the linear function. For example, using the first and second data points, we can calculate the slope as:

m = (120 - 100) / (35 - 30) = 20 / 5 = 4

With this information, we can write the function representing the total distance as a function of fuel:

y = 4x + b

To determine the value of b (the y-intercept), we can select any data point and substitute the values of x and y into the function. Let's use the first data point:

100 = 4(30) + b

Solving this equation, we find that b = -20.

Therefore, the equation representing the total distance as a function of fuel is:

y = 4x - 20

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Answer:

15 bags

Step-by-step explanation:

120p = 1800

p = 1800/120 =180/12 = 15

Final answer:

To find the number of bags of candy produced, divide 1800 by 120 to get p, which results in p = 15, indicating the factory made 15 bags of candy.

Explanation:

The student is asked to solve the equation 120p = 1800 for p to find out the number of bags of candy the factory produced. In order to find p, we need to perform algebraic operations to isolate the variable on one side of the equation. Here's the step-by-step solution:

Therefore, the factory produced 15 bags of candy.

Answer:

Step-by-step explanation:

h + c = 600

c = 3h

now we sub

h + 3h = 600

4h = 600

h = 600/4

h = 150 <=== hamburgers sold on Tuesday

c = 3h

c = 3(150)

c = 450....and 450 cheeseburgers sold

Answer:

Step-by-step explanation:

Volume = 4/3πr³

= 4/3*22/7*7*7*7

= 4*22*7*7*7/3*7

=4*22*7*7/3= 4312/3

= 1437.3 cm³

Answer: D.

Step-by-step explanation:

I think its d because there all equally apart and proportionate

Answer:

  8

Step-by-step explanation:

The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was ...

  10% × 125% × 64 = 0.125 × 64 = 8

8 of Noah's cookies were left.

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:

Each ticket cost 4dollars

Answer:

99 boxes (98.8181818182 rounded)

Step-by-step explanation:

All you do is divide 1087 by 11 and then round, 98 full boxes and 1 not totally full

Answer:

75%

Step-by-step explanation:

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

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]

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:

1/8 pound

Step-by-step explanation:

    (1/2)/4 = 1/8

or  (1÷2)÷4 = 0,125

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: 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

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:

Student 3 and Student 4

Step-by-step explanation:

Expand equation of Student 3

y = 2 (x - 1)

y = 2x -2, which is the same equation as student 4.

Answer: i think the answer is A

Step-by-step explanation:

dont quote me

Answer:

The probability that the dial stops on a white slice = 1/12

Step-by-step explanation:

To determine:

What is the probability that the dial stops on a white slice?

Fetching Information and Solution Steps

As there are 12 equally sized slices of a spinner. So, the probability  that the dial stops on a white slice is 1 out of 12 chances.

Therefore, the probability that the dial stops on a white slice = 1/12

Keywords: probability, chance

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Answer:none of the above

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).

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:

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

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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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

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