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3 years ago

At the farmer's market,

Mathematics

1 answer:

Flura [38]3 years ago

3 0

Answer:

Cantaloupe = $6, peach=$5

Step-by-step explanation:

$8x+3y=63\\2x+3y=27\\$

Subtract the first one from the second one

$8x-2x+3y-3y=63-27\\6x=36\\x=6\\$

Plug in:

$2(6)+3y=27\\12+3y=27\\3y=15\\y=5$

Hope this helps plz hit the crown :D

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Beginning with an integer $n,$ Jake goes through the following steps: $\bullet$ 1. Take the reciprocal of the starting number. $

evablogger [386]

Answer: n= 32

Jakes started with 32

Step-by-step explanation:

Let n represent the initial integer.

Step 1: take the reciprocal.

Reciprocal of n = 1/n

Step 2: double the number obtained in step 1

= 2×1/n = 2/n

Step 3: take the reciprocal of the number obtained in step 2.

Reciprocal of 2/n = n/2

Since he ended up with 16

n/2 = 16

n = 2×16 = 32

4 0

4 years ago

Read 2 more answers

The amount of caffeine consumed from a glass of Diet Pepsi is proportional to the number of ounces that was drank. The table bel

Vilka [71]

Answer:

Constant of proportionality: $k=3$

Equation: $c=3d$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.

So, the equation that represents this relationship will have this form:

$c=kd$

Then, the first step is to find the Constant of proportionality "k".

Knowing that:

$c=24;d=8$

We can substitute values into the equation:

$24=k(8)$

Now, solving for "k", we get:

$\frac{24}{8}=k\\\\k=3$

Therefore, we can write the following equation that represents that proportional relationship:

$c=3d$

6 0

4 years ago

A seal went 15 below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger

anygoal [31]

Answer:

$2\times 15-6 = 24\ below\ sea\ level$

Step-by-step explanation:

Given that:

Distance traveled by seal to catch the fish = 15 below sea level

Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.

To find:

The expression to represent the position of the sea lion in the sea.

Solution:

If the distance traveled by seal is represented by $D$ then as per the question statement:

Twice of $D$ = $2\times D$

6 lesser than twice of $D$ = $2\times D$ - 6

Now, putting the value of $D$ = 15

Therefore, the expression to represent the sea lion's position w.r.to sea level.

$2\times 15-6\\ = 24\ below\ sea\ level$

5 0

3 years ago

Which ratios correctly compare bananas to apples, as<br> shown in the image? Check all that apply.

Oksana_A [137]

Answer:

where's the picture bro?

Step-by-step explanation:

7 0

3 years ago

Consider the series 4 + 12 + 36 ... Find the sum of the first 9 terms.

jeyben [28]

Answer:

39364

Step-by-step explanation:

You can simplify the equation to make 4(1+3+9...) The nth term is therefore $3^{n-1}$ so u can substitute that into the equation so 4( $3^{n-1}+ 3^{n} + 3^{n+1}$ ..). This would simplify to 4( $3^0 +3+3^2$ + $3^3+3^4+3^5+3^6+3^7+3^8$ ). By simplifying this, you can make it so 4( $2^2+6^2+18^2+42^2+81^2$ ) = 4(4+36+324+2916+6561) =39364

3 0

2 years ago