Mackenzie buys 13 bottles of apple juice at the corner store for a total cost of $9.23. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice, write a proportional equation for c in terms of j that matches the context.

Answer: y = -1.62[tex]x^{2}[/tex] + 34.89x-5.57

Step-by-step explanation:

If you plug in these points into a TI-84 and use the quadratic regression function, then you'll get this answer.

Answer:

The answer should be 236g.

Step-by-step explanation:

If we take the amount of flour used for the cake as 'x,' the flour used to make the scones would be (500-x)×2/3 as 2/3 of the remaining is used for the scones.

We know that 60g more flour is used for the cake.

So,

x-60=(500-x)×2/3

Cross multiply, and brng the 3 to the other side.

3(x-60)=(500-x)2

3x-180=1000-2x

Bring the x-terms to one side and the numbers to one side.

3x+2x=1000+180

5x=1180

Divide both sides by 5 to find x(the amount of flour used to make the cake)

Therefore,

x=236g

Answer:

g(x) = 3^x -7

Step-by-step explanation:

In an exponential function like this, the constant at the end of the function represents the vertical shift. This means that the original function is shifted 2 units up. So, 9 units lower than +2 is -7. Thus, the new function, g(x), is g(x)=3^x - 7.
We can prove that g(x) is 9 units lower through y-intercepts. The function f(x) has a y-intercept of 3 and g(x) is -6. Since -6 is 9 lower than 3, we know that there is a 9 unit difference between the functions.

Step-by-step explanation:

According to the diagram:

The area is:

9, 30, 93, 282, 849

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

Explanation:

The first term is 9 because of the notation [tex]a_1 = 9[/tex]

To get the second term, we use the recursive rule given to us which is

[tex]a_n = 3a_{n-1} + 3[/tex]

I recommend using parenthesis to separate things like this

[tex]a_n = 3(a_{n-1}) + 3[/tex]

If n = 2, then,

[tex]a_n = 3(a_{n-1}) + 3\\\\a_2 = 3(a_{2-1}) + 3\\\\a_2 = 3(a_{1}) + 3\\\\a_2 = 3(9) + 3\\\\a_2 = 27 + 3\\\\a_2 = 30[/tex]

The second term is 30.

You can use the same idea as above to find the third term, or you can use this slightly different approach

[tex]\text{third term} = 3*(\text{second term}) + 3\\\\\text{third term} = 3*(30) + 3\\\\\text{third term} = 90 + 3\\\\\text{third term} = 93[/tex]

To generate any new term, we first triple the previous term and then add on 3.

Answer:

y=4x+c now put (-3,7) into the equation to find the y intercept. 7=4×−3+c. 7=−12+c. c=19.

Step-by-step explanation:

y=mx++c is the general equation with m as the slope.

The equation illustrates that the number of students that Branch B have will be 2100.

From the question, the number of students taking classes at RSM Branch A is 1.4 more than the number of students taking classes at RSM Branch B. If

Since Branch A has 1,650 students, the number of students that Branch B have will be:

= 1500(1.4)

= 2100

Learn more about equations on:

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Answer:

Step-by-step explanation:

If it is on a regular dart board and the dart is thrown four times, the probability of hitting the centre would be slim (obviously) but to be more precise it would be 1/4 - if not none at all.

I know this isn't as specific but I hope it will help :)

Given :-

To Do :-

Solution :-

Given equation to us is ,

→ y = 3x -1

As we know that , the slope intercept form of the line is ,

→ y = mx + c

where m is the slope and c is the y intercept .On comparing both , we have ,

So the graph will cut the y axis at (0,-1) . And will have a slope of 3 .

When y coordinate is 0 ,

So that ,

→ x - 0 / 0 -(-1) = 3

→ x/0+1 = 3

→ x/1 = 3

→ x = 3

Hence one other point is (3,0 ).

Now we may plot the graph using these two points (3,0) and (0,-1) .

For graph see attachment .

I hope this helps .

[tex]\begin{cases} -x+3y=9\\\\ y=\cfrac{2}{3}x \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -x+3y=9\implies 3y=9+x\implies \underline{3y-9=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting ont the 2nd equation}}{y=\cfrac{2}{3}(\underline{3y-9})\implies 3y=2(3y-9)}\implies 3y=6y-18\implies 18+3y=6y \\\\\\ 18=3y\implies \cfrac{18}{3}=y\implies \boxed{6=y}[/tex]

Answer:

14 1/6

Step-by-step explanation:

[tex]7\frac{5}{12} +6\frac{9}{12} =13\frac{14}{12} =14\frac{2}{12} =14\frac{1}{6}[/tex]

Answer:

a = 11c - 4

Step-by-step explanation:

7,18,29,40

constant difference = 11

now,

an = a+(n-1)d

or, an = 7+(n-1)11

or, an = 7 + 11n - 11

or, an = 11n - 4

See screenshot below! :^)

Hope this helps! :^)

There are 1680 digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them

To determine the number of whole numbers, the following must be true

Case 1: If the sequence starts from the first digit

So, we have:

[tex]Case\ 1 = 3 * 1 * 2 * 1 * 10 * 10[/tex]

[tex]Case\ 1 = 600[/tex]

Case 2: If the sequence starts from the second digit

So, we have:

[tex]Case\ 2 = 9 * 3 * 1 * 2 * 1 * 10[/tex]

[tex]Case\ 2 = 540[/tex]

Case 2: If the sequence starts from the third digit

So, we have:

[tex]Case\ 3 = 9 * 10 * 3 * 1 * 2 * 1[/tex]

[tex]Case\ 3 = 540[/tex]

The total number of whole numbers is:

[tex]Total = 600 + 540 + 540[/tex]

[tex]Total = 1680[/tex]

Hence, there are 1680 6-digit whole numbers that the digits

Read more about combination and permutation at:

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Answer:

13.71% or rounded we have 14%

Step-by-step explanation:

We need to find the area so we need to use the formula of Area = piR^2

>> Area of bulls-eye = π(2.5)^2 = 19.63in^2

>> Area of whole target = π(6.75)^2 = 143.13in^2

NOTE: The target values above are halved values of 5 and 13.5

Now, all we have to do is divide the area of the bullseye by the area of the target, so some simple stuff.

19.63/143.13 > 0.13714804 > In a percent we have 13.71% or rounded we have 14%

Answer:

Yes, they are equivalent expressions, by the Associative Property

Step-by-step explanation:

Both of these expressions are equal to:

4a + 5a + 3c

(and then, 9a + 3c)

This is all adding so you can add them all up without any of the parentheses. In the question at first the parentheses are grouping together the 5a and 3c, but in the second expression they are wrapped around the 4a and 5a. But in both expressions the order of the three terms does not change. Only the grouping changes. The terms are grouped differently, but the order DOES NOT change. This is Associative property. If the order changes it is Commutative property.

Answer:

59

Step-by-step explanation:

Based on the given conditions, formulate: 413 divided by 7  

Cross out the common factor:59

get the result:59

Answer: 59

Colton practices for 59 minutes a day

Answer:

t = 59(d)

Step-by-step explanation:

done ✅

brainliest please

Answer:

this pool has a length 18 feet and a width of [tex]9\frac{3}{4}[/tex] feet. The maximum depth of water is [tex]4\frac{1}{2}[/tex] feet .

Answer:

[tex]\frac{603}{20}[/tex]

Step-by-step explanation:

[tex]\frac{248}{20} +\frac{355}{20} \\\\\frac{248+355}{20} \\\\\frac{603}{20}[/tex]

Answer:

25%

Step-by-step explanation:

Let George's salary = $50,000 per year

If his salary dropped by 20%, then his salary would be 80% of his previous salary (as 100% - 20% = 80%).

Convert 80% to a decimal: 80% = 80/100 = 0.8

Therefore, 80% of 50000 = 0.8 x 50000 = $40,000

We wish to increase his salary back to the original amount of $50,000.

The difference between the two salaries is : 50000 - 40000 = 10000

Therefore, we need to calculate the percentage that $10,000 is of $40,000.

⇒ (10000 / 40000) x 100 = 25%

So George's salary needs to increase by 25% to get back to where it was before the salary drop.

Answer:

81

Step-by-step explanation:

Answer:

2.08 × 10^11

Step-by-step explanation:

Answer:

y=8

Step-by-step explanation:

Hope this helps!!

Answer: Irrigation water can come from groundwater, through springs or wells, surface water, through rivers, lakes, or reservoirs, or even other sources, such as treated wastewater or desalinated water. As a result, it is critical that farmers protect their agricultural water source to minimize the potential for contamination.

Step-by-step explanation:

Answer:

Total pipes = 692 pipes

Step-by-step explanation:

Now we have to,

→ find the amount of pipes he use.

Forming the expression,

→ 610 plastic pipes + 82 metal pipes

Let's solve the problem,

→ 610 plastic pipes + 82 metal pipes

→ 610 + 82

→ 692 pipes

Hence, the farmer used 692 pipes.

Answer:

-10=$35r+$5r

+10=$30r

Step-by-step explanation:

This function represents this situation. If someone orders less than ten rings (-10) then they will pay $35 for each ring($35r) plus dollars for each for shipping ($5r)

If someone were to buy more than ten rings (+10) then they will pay $30 for each ring ($30r)

Have a great day!

Answer:

Side BC and AD are the same lengths so a=21

Side BC = 14

Side AB = 37

Side CD = 37

Step-by-step explanation:

Hope this helps!

please mark as brainliest =D

Step-by-step explanation:

1. cd and dg

2. angle 2

3. angle gde

4. angle cdh

5. cde is st line

6.cdf = cdh+hdf = 42+117= 159

7. angle fde = 90-73=17

Answer:

Step-by-step explanation:

5 + 2x = y

8 + 3x = y

Answer:

Tree A equation: y = 2x + 5. Tree B equation: y = 3x + 8.

Step-by-step explanation:

The rate at which the tree's grow each month is m (y=mx + b) and the starting length of the trees is b (y=mx+b). Once you know those values plug them into the equation.

Special right triangles are triangles whose sides are in a particular ratio, known as Pythagorean Triples. In geometry, the Pythagorean Theorem is a statement that shows the relationship of the sides of a right triangle. ... The two special right triangles include: 45°; 45°; 90° Triangle

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