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3 years ago

In how many months will the total cost of both options be the same? What will that cost be?

Mathematics

1 answer:

gregori [183]3 years ago

7 0

If you make yourself a monthly expense chart:
   Months
<u> 1 2    3 4    5    6 7    8    9    10</u>
Opt 1 -80    -30    -30    -30    -30 -30    -30    -30 -30    -30
Opt 2 -40 -40    -40    -40 -40    -40    -40    -40    -40 -40

By month 5 the total amount spent for Opt 1 is $200 and Opt 2 is $200

For part two add up the values for each all the way up to month 9.
Option 1: 80 + 30(8) = 80 + 240 = 320 spent
Option 2: 40(9) = 360 spent

So option 1 is cheaper by month 9

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(English to algebra) twice K results in three times the sum of k plus one

babymother [125]

i believe its 2k= 3(k+1)

8 0

3 years ago

The mapping diagram shows a functional relationship

Gre4nikov [31]

Answer:

$f(4)=\frac{1}{2}$

f(x) = 4 when x is 8

Step-by-step explanation:

Domain is the set of x values that make the function defined. Allowed x values for the function (mapping).

The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

Whenever we need to find f(a), suppose, then we look for "a" in the domain and see its corresponding value mapping in the range.
Whenever we will be given a value for f(x) = a, suppose, and we have to find "x", we look at the value a in the range and find corresponding x value in the domain.

Firstly, we need f(4), so we look for "4" in domain and see which number it corresponds to in range.

That is $\frac{1}{2}$

Thus,

$f(4)=\frac{1}{2}$

Next,

We want "x" value that gives us a "y" value of 4. We look for "4" in the range and see which value it corresponds to. That is "8". So,

f(8) = 4

8 0

3 years ago

In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC. Andre has written a

Dahasolnce [82]

Answer:

AD is Congruent to BC and it's given, (given just means that it was already said or stated, and you don't need to do the work to find it) Angle DAC would be congruent to angle BAC (if that doesn't work, rearrange them to look like angle CAB). AC would be congruent to DB. Triangle ADC would be congruent to triangle BCD by (since i don't know exactly which way the letters are arranged is would either be SAS or SSA) and that's because you know two of the sides are congruent to each other and one angle.

I tried hard to sketch out what the shape looked like based on the information given, and that's because I need a visual of what the shape looks like. Sorry, this took so long to answer.

5 0

6 months ago

Will has 20 pounds of apples he makes to back to apple sauce that he's 4 pounds each one back to apple butter that use a 6 pound

Ulleksa [173]

Answer:

The equation representing pounds of apples will has left $x=20-4-6-3$ .

Will has left with 7 pounds of apples.

Step-by-step explanation:

Given:

Total pounds of apple = 20 pounds.

Pounds of apple used for apple sauce = 4 pounds

Pounds of apple used for apple butter = 6 pounds

Pounds of apple used for making juice = 3 pounds

We need to write the equation to represent pounds of apples will has left.

Solution:

Let us assume pounds of apples will has left be 'x'.

So we can say that;

pounds of apples will has left can be calculated by subtracting Pounds of apple used for apple sauce and Pounds of apple used for apple butter and Pounds of apple used for making juice from Total pounds of apple.

framing in equation form we get;

$x=20-4-6-3$

Hence The equation representing pounds of apples will has left $x=20-4-6-3$ .

On Solving the above equation we get;

$x=7\ pounds$