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3 years ago

Express the product shown as a fraction in simplest form -3/7 dot -2/3 please help

Mathematics

1 answer:

attashe74 [19]3 years ago

8 0

The answer is $\frac{2}{7}$ .

Multiple numerators by nums, and denoms by denoms.

$\\\frac{-3}{7}$ · $\frac{-2}{3}$ = $\frac{6}{21}$

$\frac{6}{21}$ simplified is $\frac{2}{7}$

Hope this helped and branluest would be appreciated

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Select the two statements that are true about the equation −10=60(−40)

Aleksandr-060686 [28]

Answer:

The slope of the line is 60

One point on the line is (40, 10)

Step-by-step explanation:

The missing choices are :

1) The slope of the line is 10

2)One point on the line is (40, 10)

3)The slope of the line is 60

4)One point on the line is (10, 60)

Given the equation y−10=60(x−40), applying distributive property we get:

y−10=60x - 60*40

t = 60x - 2400 + 10

t = 60x - 2390

The slope is the number that multiplies x, that is, 60.

To check if the point (40, 10) belongs to the equation, replace the values x = 40 and y = 10 in the equation, as follows:

(10)−10=60((40)−40)

0 = 0

The same number appear at both sides of the equal sign, then the point (40, 10) is on the line. Analogously, for point (10, 60):

(60)−10=60((10)−40)

50 = 60*(-30)

50 = -1800

The two numbers are different, then, the point (10, 60) is not on the line.

4 0

3 years ago

Read 2 more answers

Write the equations for the basic absolute value equation y=|x-h|+k under the given transformations:

BlackZzzverrR [31]

Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).

1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. vertical shrink by a factor of 1/3 → y = $\frac{1}{3}$ |x|
4. vertical stretch by a factor of 3 → y = 3 |x|

5 0

3 years ago

What is the multiplicative inverse of -27 and what is the multiplicative inverse for 7/9 and -9/16

liberstina [14]

The multiplicative inverse of a number is the number when you multiply it, it gives you the product of 1.

So for - 27, what number will give us 1 when we multiply it by -27

-27 * -1/27 = 1

So the multiplicative inverse of -27 = -1/27

7/9 * 9/7 = 1

-9/16 * -16/9 = 1

So in essence, just take the number and flip it

-27 = -1 / 27

7/9 = 9/7

-9/16 = -16/9

3 0

3 years ago

A dog is leashed to the corner of a house. How much running area does the dog have? Round answer to the nearest square foot, if

sashaice [31]

Answer:

942 ft²

Step-by-step explanation:

The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...

A = πr² = π(20 ft)² = 400π ft²

Then 3/4 of that area is ...

dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²

The area of the dog's run is about 942 ft².

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4 years ago

pasha is thinking of a number such that when twice the number is added to three times one more than the number she gets the same

Lelechka [254]

This is the equation made from the problem where x=mystery number
2x+3(x+1)=4(x-1)

Now let's solve for x!

We start by distributing 3 into (X+1)

3(x)=3x and 3(1)=3

Now our equation is 2x+3x+3=4(x-1)

Let's combine both x values on the left side of the equation: 2x + 3x=5x

We now have 5x+3=4(x-1)

Let's distribute 4 into (x-1)

4(x)=4x and 4(-1)=-4

Now our equation is 5x+3=4x-4

subtract 3 form both sides

5x=4x-7

subtract 4x from both sides

x=-7

Yay! So the number she is thinking of is -7!

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3 years ago

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