A customer bought a soda and 2 hot dogs for 7$. Another customer bought a soda and 4 hot dogs for $12.
What is the rate of change?
What is the initial value

Answers

Answer 1

s + 2h = 7

s + 4h = 12

s = 12 - 4h

12 - 4h + 2h = 7

- 2h = -5

2h = 5

hotdog = $2.50

s = 12 - 10

soda = $2


Related Questions

plssss help i need to have this problem done by today or else my dad will be mad at me.

Answers

Answer:

x is 24° it is bcs triangle have at all 180°

that bigger one have 180-94-41=45° on right side

180-111-45=24° ez

I NEED THIS ANSWER ASAP!!!!

Answers

Solution:

We know the following rules:

Rule: If an exponent is negative, it will be in the fraction 1/nˣ.Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.Rule: if a number's exponent is 0, then the number is 1.

Now, let's solve each problem.

Question-7

4³ = 4 x 4 x 4 = 644² = 4 x 4 = 164¹ = 44⁰ = 1

Question-8

(-2)³ = (-2) x (-2) x -(2) = -8(-2)² = (-2) x (-2) = 4(-2)¹ = -2(-2)⁰ = 1

Hoped this helped!

Answer:

7. 4⁴ = 4x4x4x4=256
   4³= 4x4x4=64
   4²= 4x416

   4¹=4
   4⁰=1 ( as every number that has power 0 = 1)

8. (-2)⁴

=(−2)*(−2)*(−2)*(−2)

=(-2)⁴

=16

(−2)³

=(−2)*(−2)*(−2)

=(−2)³

=−8

(−2)²

=(−2)*(−2)

=(−2)²

=4

(−2)¹

=−2

(−2)⁰

=1 ( ( as every number that has power 0 = 1)

Find (f.g)(x) where f(x) = 3x + 1, g(x) = 2x + 7.
=
O (f•9)(x) = 6x2 + y 3x + 7
O (f.g)(x) = 6x2 + 7
O (fºg)(x) = 6x2 + 23x + 7
O(fºg)(x) = 5x + 8

Answers

Answer:

3rd option

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= (3x + 1)(2x + 7)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(2x + 7) + 1(2x + 7) ← distribute parenthesis

= 6x² + 21x + 2x + 7 ← collect like terms

= 6x² + 23x + 7

To solve the equation 2x - 1 - 7 = 9,
first
DO
write each side with base 2
add 7 to each side
divide both sides by 2

Answers

D ON EDGE
2^x-1 = 2^4 Step-by-step explanation

To solve the equation [tex]2^{x-1} - 7 = 9[/tex], we add 7 to both sides make the bases the same, and equate the exponents.

What are some rules of exponents?

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An exponential expression

[tex]2^{x-1} - 7 = 9[/tex].

[tex]2^{x -1} = 9 + 7.[/tex]

[tex]2^{x-1} = 16.[/tex]

[tex]2^{x-1} = 2^4[/tex].

x - 1 = 4.

x = 5.

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Line m passes through point (-2,-1) and is perpendicular to the graph of y=-2/3x+6. Line n is parallel to line m and passes through the point (4,-3). What is the equation in slope-intercept form of line n?

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}} x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

well, we know that "m"  is perpendicular to the line above, so that means that line "m" has a slope of

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{3}} ~\hfill \stackrel{reciprocal}{-\cfrac{3}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}[/tex]

keeping in mind that parallel lines have exactly the same slope, and since we know that "n" is parallel with "m", that means that if "m" has a slope of 3/2 than "n" must have the same slope.

so we're really looking for the equation of a line whose slope is 3/2 and passes through (4 , -3)

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{4}) \\\\\\ y+3=\cfrac{3}{2}x-6\implies y=\cfrac{3}{2}x-9[/tex]

HELP THIS IS DUE SOON! PLEASE PROVIDE THE ANSWER ALONG WITH HOW YOU GOT THE ANSWER.

Torrance is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Torrance has $100 to spend, how much does he intend to spend on his brother?

Let x = the $ Torrance spends on his sister

Answers

Answer:

Torrance spends 16$ on his brother

Step-by-step explanation:

You have 100$

So, we have

x (brother) + x (sister) + x (mother) = 100

But, since 10$ less will be spent on the sister than the brother, it becomes (x - 10) and twice + 6$ is spent on the mom, it also becomes (2x + 6)

Our equation then becomes

(x - 10) + x + (2x + 6) = 100

X will end up equaling 26. This is how much is spent on the sister.

(x - 10) will be substituted for (26 - 10), which equals 16.

I'm not sure if this is right so you might want to check with somebody (since I may be wrong) I hope this helps you understand how to basically do it though. <3

Write the equation of the line in fully simplified slope-intercept form. 10 8 D 4 2 1 -12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 6 - 8 9 10 11 12 12​

Answers

Answer:

y =  -5x - 5

Step-by-step explanation:

y =  -5x - 5

Slope intercept form is y = mx + b where m is the slope and b is the y intercept.

-5 is the y intercept and -5/1 or -5 is the slope/

3-45 so just do it -

Evaluate:
–7.68 (–1.6)
A. –48
B. –4.8
C. 4.8
D. 48

Answers

We know the answer will be a positive number since negative x negative equals positive. This leaves behind two answer choices (C and D). Since 7.68 is bigger then 4.8 and it’s being multiplied we know it can’t be C. Therefore the answer must be D. Breaking down the answers is one of the best ways to solve math problems. In this was I did zero math and solved the problem.


In conclusion answer is D for anyone who did not read explanation above

Your Answer Should Be C.

In a data set, the number of items that are in a particular category is called the.

Answers

In a data set, the number of items that are in a particular category is called the frequency

What is frequency?

Frequency can be defined as the number of items that are in a particular category in a data set.

It is also described as the number of times the value \appears in the data set.

The distribution of a variable is defined by the pattern of frequencies, this means that, the set of all possible values and the frequencies associated with these values

Frequency distributions are also portrayed as frequency in tables or charts,

It is also important to note that relative frequency is the proportion of items  in a particular category in a data set.

Hence, it is the frequency

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The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer as a decimal in the box. Cm³.

Answers

Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³

What is the volume of sphere?

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used  as 3.14

Thus, we have the volume of container as:

[tex]V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{[/tex]

Thus,

The approximate volume of the specified container is 87.92 cm³

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Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

5 and 1/3 yards = 16 ft

So 16 ft + 2 extra ft

The total is 18 ft (C.)

3(x-2)
I don’t know how to do this

Answers

Answer:

3x - 6 should be it

Answer
3(x-2) ;expand the linear equation
=3x-6

Which equation is equivalent to 16x−8+2x=100?

Answers

Answer:   X=6.

Step-by-step explanation:  
16x-8+2x=100

18x-8=100

18x=100+8

18x=108

x=108/18

x=6

Answer:

14x-8

Step-by-step explanation:

another equation is 14x-8=100

combine like terms

What is the range?
-2 -4 -4 -2 3 5

Answers

Answer:

9

Step-by-step explanation:

you do the max- min. so 5-(-4) which is really 5+4=9

Answer:1. range(1,10,2) - 1 to 9 with a gap of 2 numbers each so it yields - 1,3,5,7,9 2. [-2,-4,-6,-8,-10] - range(-2,-11,-2) 3. (i) range(4,20)[2:5] - Generates the list of number…

example: 1.What sequence of numbers is equivalent to the given ranges?

range(1,10,2)

2.Express the following as a range.

[-2,-4,-6,-8,-10]

3.What do each of these expressions yield?

(1) range(4,20)[2:5] (2) list(range(10,60,4)[-2:1:-4] (3) range(3,12,4)[2]

(4) range(0,9,2)[:] (5) range(2,20)[-2:-10:-1] (6) range(3,18,2)[::2]

(7) range(1,33,6)[1::2] (8)range(-5,20,3)[-8:5:2]

seven more than the quotient of a number and 2 is 10

Answers

Answer:

7+X/2=10 answer is 6

Step-by-step explanation:

What is the slope of the line that passes through the points (4,7) and (7, 16)? Write
your answer in simplest form.

Answers

Your answer would be either:

[tex]\frac{3}{1}[/tex] or just 3

Step-by-step explanation:

To solve, we used Rise over run [tex]\frac{rise}{run}[/tex]  

m = [tex]\frac{16-7}{7-4}[/tex] we get 9/3 and simplify it to 3/1 or 3

Problem
Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

please help me !!! please The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x)=−2x^2+36x, where x is the width, in feet, of the storage bin. John said that factoring would be a more efficient way to solve for the maximum area compared to completing the square. Do you agree or disagree with John? I must Explain.

Answers

The area of the garden is the amount of space it occupies

John's claim is not true

How to determine if John's claim is true

The function is given as:

[tex]A(x) = -2x^2 + 36x[/tex]

To determine the maximum area, we do not need to factorize the expression or apply completing the square.

Hence, John's claim is not true

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find the circle and radius of circle at x^2 +y^2 +10x - 6y + 14=0​

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

x² + y² + 10x - 6y + 14 = 0 ( collect the x/ y terms together and subtract 14 from both sides )

x² + 10x + y² - 6y = - 14

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(5)x + 25 + y² + 2(- 3)y + 9 = - 14 + 25 + 9

(x + 5)² + (y - 3)² = 20 ← in standard form

with centre = (- 5, 3 ) and r = [tex]\sqrt{20}[/tex] = 2[tex]\sqrt{5}[/tex]

Given that 10 cm is approximately equal to 4 inches, which of the following expressions models a way to find out approximately how many inches are equivalent to 350 cm?
A
350×(104)
B
350×(410)
C
(10−4)×350
D
(350−10)×4

Answers

Answer: I don't Know

Step-by-step explanation: Thanks for the point tho :)

graph the basic exponential function helpp pleasereeeeee​

Answers

Answer:

Step-by-step explanation:

The red one is g(x)=2^x+4

The blue one is f(x)=2^x-1 exponential function

What is 6 (-2y+4) simplified

Answers

Answer:

-12y+24

Step-by-step explanation:

I used math---------way , so it is correct. brainliest please!

Answer:

Step-by-step explanation:

6 (-2y+4)

First, we use the distributive property to substitute the terms.

(-12y + 24)

Then we divide 24 by -12 to get -2.

24/-12 = -2.

y = -2

Which set of ordered pairs does not represents a function?

Answers

Answer:

The first option.

Step-by-step explanation:

You cannot repeat the x value if it is a function. The x value of 2 is repeated in the first option.

HELP WITH PROOFS PLEASE

Answers

Answer:

I guess it's D since BC= 132: 12 = 11 or both of the two places divided by 12

Find the common ratio of the geometric sequence 11, -55, 275,...11,−55,275,...

Answers

Answer:

r = -5

Step-by-step explanation:

common ratio (r) is found be dividing one term by its preceding term:

r = 275 ÷ -55 = -5

or, r = -55 ÷ 11 = -5

Therefore, r = -5

7(4g) + 3(5h) + 2(-3g); for g=1/2 ;.h =1/3

Helpppp

Answers

Answer:

16

Step-by-step explanation:

7(4g) + 3(5h) + 2(-3g); for g=1/2 ;.h =1/3

28g + 15h - 6g =

= 22g + 15h

= 22(1/2) + 15(1/3)

= 11 + 5

= 16

Answer: 16
Explanation:
7(4•1/2)+3•(5•1/3)+2(-3•1/2) =
7•2+3•5/3+2(-3/2) =
14+5-3=
=16

Research done in the mid 1980s indicated that 80% of grizzly bears in the greater ecosystem of Yellowstone National Park entered their den for hibernation by the last day of November. This has come into question as of late. Researchers have hypothesized that climate change has postponed bears entering hibernation until later in the season; that is, researchers believe that a smaller percentage of bears are entering their den for hibernation by the last day of November. Sixty-two Yellowstone grizzly bears were tracked via radio monitors, which allow scientists to pinpoint when the bears enter their dens with a high degree of accuracy. Of the sixty-two Yellowstone grizzly bears being tracked, forty-two entered their den for hibernation by the last day of November.
What values would you enter for each of the following in the One Proportion applet to conduct a simulation-based hypothesis test with these data?

Answers

The sample size that's given is 62 and the probability of success will be 0.68.

How to calculate probability

From the complete question, it can be noted that the sample size that's given is 62 while the number of samples is 42.

In this case, the probability of success will be:

= Number of samples / Sample size

= 42/62 = 0.68

In conclusion, the probability of success is 0.68.

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I need some help with this one.

Answers

Answer:

B

Step-by-step explanation:

In the middle of the kite, there are 4 angles that are the same (90*)

So using the given angle 54 and the 90* we can find the last angle

54 + 90 = 144

180 - 144 = 36

The left-over angle is 36*

The slope, m, of a linear equation can be found using the formula m = y^2 - y^1, where the x-axis and y-values come from two ordered pairs, and (x^1, y^1) and (x^2, y^2). What is the equivalent equation solver for y^2?

Answers

Y =mx+b
This is the formula needed

Find the magnitude of the vector (2,-5).
Write your answer in simplified radical form.

Answers

[tex] \rm \hookrightarrow \: \sqrt{ {2}^{2} + { - 5}^{2} } [/tex]

[tex] \rm \hookrightarrow \: \sqrt{4 \: \: \: \: + \sqrt{ 25 }}[/tex]

[tex] \rm \hookrightarrow \: \sqrt{29 }[/tex]

[tex] \rm \hookrightarrow \: 5.38 [/tex]

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