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2 years ago

Find two consecutive odd integers whose product is 323

1 answer:

4 0

Use a let statement
first
let x and x + 2 be the number so you write it like this
let x = the first consecutive integer
let x + 2 = the second consecutive integer

second
x(x+2)=323
x^2 + 2x = 323
-323 -323
x^2 + 2x -323 = 0

third
try to factor -323 so it is 19 and -17
(x + 19) (x - 17) = 0
x = 19
x = -17

hope this help

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See question in image and show workings Note : 1 nautical mile = 1.86km

ycow [4]

Answer:

AB is on the latitude 30°N.

Find AB:

AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km

BC is along longitude 35°W

Find BC:

BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km

Total distance traveled:

6482.15 + 5585.77 = 12067.92 km

Convert the distance to nautical miles:

12067.92/1.86 = 6488.13 nautical miles

Find the average speed:

6488.13/22 = 294.92 nautical miles / hour

Note. This is unrealistically high speed for a ship, this must be a plane or the time given wrong.

3 0

1 year ago

Rosa believes she can use a division expression to find the cost per pound of ground beef when 1 pound sells for $4. Which state

DiKsa [7]

Answer:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

Given that

1 pound of ground beef sells for $4.

To find the cost per pound:

We need to divide the cost with the number of pounds.

i.e.

$\text{Cost per pound = }\dfrac{\text{Total Cost}}{\text{Number of pounds}}$

If 'Number of pounds' = 1, then cost per pound = Total Cost

Therefore, the above division expression can be used to find the Cost pound.

Putting the values given to find the 'Cost per pound':

$\text{Cost per pound = }\dfrac{\$4}{1} = \$4$

Therefore, Rosa's belief is correct that, a division expression can be used.

The correct answer is:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

6 0

2 years ago

Read 2 more answers

What is the distance between two points ( 3,-4)(-4,-4)

kirill [66]

Answer:

To find the distance between two points, use the distance formula.

It will be the square root of (x2-x1)squared + (y2-y1)squared.

Use (3,-4) as x1, y1. Use (5,1) as x2, y2.

We get the square root of (5-3)squared + (1- -4)squared.

That gives us the square root of 2 squared + 5 squared.

Now we have the square root of 4 + 25, = the square root of 29.

That is the distance between the two points

Step-by-step explanation:

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3 years ago

Which expressions represent the area of the entire shaded region, including the light and dark shading? select three options. 12

Alex Ar [27]

A triangle is a polygon. The total area of the figure can be represented by 12a, (6a+b), and 2b cm².

<h3>What is a triangle?</h3>

A triangle is a polygon with 3 sides and 3 vertices.

Since the area of a single triangle is a cm², and the shape is formed of 12 triangles, therefore, the area of the 12 triangles will be equal to,

$\text{Area of the complete figure} = 12 \times a = 12a\rm \ cm^2$

Given that the area of the complete dark portion is b cm², therefore, the area of the 6 triangles with a cm² of area each, and the black portion can be written as,

$\text{Area of the complete figure} = (6 \times a)+b = (6a+b)\rm \ cm^2$

As the dark portion also consists of 6 triangles with an area of a cm² each and the total sum of this dark area is b cm². Also, the light portion consists of 6 triangles with an area of a cm². Therefore, the total area can be written as,

$\text{Total area} = 6a+6a = b+b = 2b\rm\ cm^2$

Thus, the total area of the figure can be represented by 12a, (6a+b), and 2b cm².

Learn more about Triangles:

brainly.com/question/2773823

6 0

2 years ago

(Giving out 40 pts to whoever answers this all)

Brut [27]

Das is 20 points per user, just fyi

1. distributive property
recall that a(b+c)=ab+ac
5(3x-4)=5(3x)+5(-4)=15x-20

2. bruh, I can't show that here, wait, nvm, see attachment
$\frac{4}{11}=0.\overline{36}$

3.
100% is double the price
45*2=90
the item will sell for $90 in store

4.
1/2+1/4+1/8=
4/8+2/8+1/8=
7/8
7/8 piazza was eaten

5. see attachment
it ends at 15

3 0

3 years ago

Read 2 more answers