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3 years ago

The sum of two integers is 17. Two times the greater is equal to 10 times one more than the lesser. Find the two numbers.

Mathematics

1 answer:

zysi [14]3 years ago

6 0

Answer:

15 and 2

Step-by-step explanation:

15+2 is 17 and 15 multiplied by 2 is 30 and 2+1 is 3 and 3 x10 is 30. Ultimately, 30=30

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If f(x)= 3x+1 is reflect across the y-axis; what would the slope & y-intercept be? *

Elden [556K]

Answer: f(x) = -3x + 1

So the slope is -3 and the y-intercept is 1

Step-by-step explanation:

This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3

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2 years ago

Mrs. Baker uses 7.5 cups of sugar to make 168 cookies. To the nearest hundredth, what is the unit rate in cups of sugar per cook

vodomira [7]

Answer:0.04

Step-by-step explanation:

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3 years ago

What is the following product

Genrish500 [490]

For this case we must find the product of the following expression:

$\sqrt [3] {5} * \sqrt {2}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We rewrite the expression using the lowest common index of 6, then:

$5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =$

We rewrite the terms in an equivalent way:

$5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =$

We rewrite the expression using the property mentioned:

$\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =$

We combine using the product rule for radicals:

$\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}$

So:

$\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}$

ANswer:

Option b

4 0

3 years ago

A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe

yuradex [85]

Answer:

splitting it evenly among all three sides gives us the greatest area. ( for example if we had to split the number 10 into 2 and find the greatest area, out of all possible ways 5*5 is the greatest). Two sides have to be equal since it's a rectangle.

918/3=306

So we can make the two equal sides 306, and the longer side 308 which makes sure that we have the greatest area.

306 * 308

Step-by-step explanation:

3 0

3 years ago

The measure of two opposite interior angles of a triangle are and. The exterior angle of the0x−14x+4triangle measures. Solve for

11111nata11111 [884]

Answer:

60 degrees

Step-by-step explanation:

Restructured question:

The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.

First you must know that the sum of interior angle of a triangle is equal to the exterior angle

Interior angles = x−14 and x+4

Sum of interior angles = x-14 + x + 4

Sum of interior angles = 2x - 10

Exterior angle = 3x - 45

Equating both:

2x - 10 = 3x - 45

Collect like terms;

2x - 3x = -45 + 10

-x = -35

x = 35

Get the exterior angle:

Exterior angle = 3x - 45

Exterior angle = 3(35) - 45

Exterior angle = 105 - 45

Exterior angle = 60

Hence the measure of the exterior angle is 60 degrees

<em>Note that the functions of the interior and exterior angles are assumed. Same calculation can be employed for any function given</em>

6 0

3 years ago