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2 years ago

The sum of two consecutive integers is −29. Find the integers.

Mathematics

1 answer:

AleksAgata [21]2 years ago

3 0

Answer:

the two consecutive integers are 6 and 7.

Step-by-step explanation:

Im %99 sure

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the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.

Mumz [18]

Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $ $5$ for going in.

She has $2$ whole pounds.

$1.25$ x $2=2.5$ or $2 \frac{1}{2}$

Add $ $5$ and $ $2.5$ .

$5+2.5 = 7.5$

Now let's do $1.25 divided by 10.

$$$ $ $1.25$ divided by $ $10$ $=0.125$

Now let's do $0.125$ times $4$

$0.125$ x $4 = 0.5$

Now let's add 7.5 to 0.5

$7.5+0.5=8$

4 0

3 years ago

Please answer fast, this is urgent no explanation need just list answer 1,2,3etc. thanks :)

Sav [38]

Answer:

Hi There!

Step-by-step explanation:

Your Answers Are:

<h3>1: 19.3 CM</h3><h3>2: 273 CM</h3><h3>3: about 45-65 degrees</h3><h3>4: 15 CM</h3><h3>5: 25 CM</h3><h3 /><h3 />

Its hard to work w/o a ruler or a protractor, so these might be incorrect.

If this helps, though, please give me a thanks!! ^^

- abakugosimp

5 0

3 years ago

Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3

Shkiper50 [21]

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

= 10x + (- 5)

= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

4 0

3 years ago

You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0

1 year ago

Andy and Samantha are performing an experiment in a science lab. The number of bacteria cells recorded by Andy in his experiment

-Dominant- [34]

Andy will record 6x + 5 bacteria cells, while Samantha will record 2^x + 3 bacteria cells. These will be equal at a time when:
6x + 5 = 2^x + 3
Plotting both of these shows that they are equal when x = 5 and y = 35.
Therefore, the number of bacteria cells will be equal at 35, at t = 5 hours.

7 0

3 years ago

Read 2 more answers