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3 years ago

Use distributive property to rewrite each algebraic expression: 15(2+r)

Mathematics

1 answer:

ira [324]3 years ago

8 0

Answer:

15 x 2 + 15 x r

Step-by-step explanation:

I hope this helps and hope u have an Amazing day!!

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13.<br> Which situation is best represented by the inequality 12x + 70 > 10x + 80?

artcher [175]

Answer:

HIStep-by-step explanation:

3 0

3 years ago

Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua

Anarel [89]

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630 Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490$

Dividing both sides by 35

$\frac{35x}{35}=\frac{490}{35}\\x=14$

Putting x=14 in Eqn 2

$y=14+14\\y=28$

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago

What number is needed to finish the pattern 66 73 13 21 52 _ 10 20

Nuetrik [128]

I think that the answer is 61 I got this off of google so I'm not 100 percent sure please don't take my word as anything but second advice.

4 0

4 years ago

Read 2 more answers

Questions are in the picture

gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

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3 0

2 years ago

Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18

Naya [18.7K]

Answer:

y=-4x+3

Step-by-step explanation:

it does not show the equations that are following

but the main thing you need to know is that when two lines are parallel they have the same slope

and do you mean 2x+8y=18 not x?

edit:

answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9

2y+8x=18

first change that equation to slope intercept form to find the slope

2y = -8x+18 -> y = -4x+9

slope is -4

so the answer is y=-4x+3 because it also has a slope of -4

5 0

3 years ago