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3 years ago

Can someone please solve this problem for me?

Mathematics

1 answer:

statuscvo [17]3 years ago

5 0

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

$x *(x+2)=35$

Expanding, you get:

$x^{2}+2x = 35.$

And moving the 35 to the other side, you get a simple quadratic.

$x^{2}+2x -35 =0.$

Solving by factoring:

$(x+7)(x-5)$

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

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you be the teacher explain how you would calculate the volume of the figure shows have fun be creative in detail

lisov135 [29]

Answer:

The volume of the figure is equal to

$\frac{1,225}{3}\pi\ ft^{3}$ or $408\frac{1}{3}\pi\ ft^{3}$

Step-by-step explanation:

we know that

The volume of the composite figure is equal to the volume of a cone plus the volume of a cylinder

step 1

Fin the volume of a cone

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2}H$

we have

$r=7\ ft$

$H=7\ ft$

substitute

$V=\frac{1}{3}\pi (7^{2})(7)=\frac{343}{3}\pi\ ft^{3}$

step 2

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=7\ ft$

$h=6\ ft$

substitute

$V=\pi (7^{2})(6)=294 \pi\ ft^{3}$

step 3

Find the volume of the figure

$\frac{343}{3}\pi\ ft^{3}+294 \pi\ ft^{3}=\frac{1,225}{3}\pi\ ft^{3}$

Convert to mixed number

$\frac{1,225}{3}\pi=\pi(\frac{1,224}{3}+\frac{1}{3})=408\frac{1}{3}\pi\ ft^{3}$

6 0

4 years ago

Consider the triangle

Blababa [14]

Answer:

30^

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

On Monday, your bank account balance was −$12.83. Because you didn't realize this, you wrote a check for $30.89 for groceries.

Ira Lisetskai [31]

Answer:

You owe $-43.72.

Step-by-step explanation:

Your balance was $-12.83 on Monday. You are writing a check for money you do not have, so you will owe more money.

-$12.83 - $30.89 = -$43.72

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3 years ago

You are selling cookies for your organization. One box of cookies is sold for $3. Thirty percent of the sale price goes to the b

choli [55]

A) Your organization gets half of the revenue after 30% is deducted. You get ...
(1/2)×($3 - 0.30×$3) = (1/2)×$3×0.70 = $1.05 for each box of cookies

B) If the number you must sell to earn $100 is represented by n, then you have
$1.05×n = $100
n = 100/1.05 ≈ 95.24
To earn $100 for your local chapter, you must sell 96 boxes of cookies.

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3 years ago

on monday 3.11 inches of rain fell and on tuesday 0.81 inch of rain fell. on wensday,twice as much rain fell as tuesday. How muc

pshichka [43]

Answer:

5.54 inches of rain

Step-by-step explanation:

Monday - 3.11

Tuesday - 0.81

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3 years ago