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3 years ago

WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...

Mathematics

1 answer:

enot [183]3 years ago

7 0

Answer:

-450

Step-by-step explanation:

Say the first number is x to get the idea.

The first 150 terms are 150x - 5 * 150

15x - 750

300 - 750 = -450

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A bag of marbles contains 28 red marbles, 30 green marbles, and 24 yellow marbles. What is the ratio of red marbles to yellow ma

Basile [38]

Answer:

The answer to your question is 7:6

Step-by-step explanation:

Data

Number of red marbles = 28

Number of green marbles = 30

Number of yellow marbles = 24

Radio = ?

Process

1.- Write the ratio

Red marbles : Yellow marbles

2.- Substitution

28 : 24

3.- Simplification

-Divide both terms by 2

14 : 12

-Divide by two both terms

7 : 6

-It is not possible to simplify more.

4 0

3 years ago

Read 2 more answers

Graphing in Point-Slope Form y−y1=m(x−x1) Graph the equation y+7=−45(x−4) ?

nevsk [136]

Answer:

<h2>The graph is in the attachment.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - a point on a line

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

We have the equation in a point-slope form:

$y+7=-\dfrac{4}{5}(x-4)$

$y-(-7)=-\dfrac{4}{5}(x-4)$

Therefore we have one point: (4, -7).

Convert to the slope-intercept form:

$y+7=-\dfrac{4}{5}(x-4)$ use the distributive property

$y+7=-\dfrac{4}{5}x+\left(-\dfrac{4}{5}\right)(-4)$

$y+7=-\dfrac{4}{5}x+\dfrac{16}{5}$

$y+7=-\dfrac{4}{5}x+3\dfrac{1}{5}$ subtract 7 from both sides

$y=-\dfrac{4}{5}x-3\dfrac{4}{5}$

Put x = -1 to the equation:

$y=-\dfrac{4}{5}(-1)-3\dfrac{4}{5}=\dfrac{4}{5}-3\dfrac{4}{5}=-3$

Therefore we have the second point (-1, -3).

3 0

4 years ago

I need help with this one.

Elanso [62]

Answer:

y=(-4/1)x-5

Step-by-step explanation:

You need to find the slope of the line and the y intercept, you can do this by plotting the points into a graph and figuring it out that way, or you can use the equations y2-y1/x2-x1 (for slope) and y=(*the slope from the other equation*)x+b. For both equations plug in a corresponding x and y coordinate given on the list (y1 and y2 would be consecutive coordinates, so 1 and 2, and same for x1 and x1, so -9 and -13). You should get (-4/1) for the slope, and when you plug that into the other equation you should get 5. Lastly you plug all these numbers into y=mx+b, and you get your answer.

Hope this helps :)

3 0

3 years ago

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the co

lara [203]

She needs to purchase a cover to protect the hot tub of an area of 38.5 square feet.

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

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub.

The area of the circle is given by

$\rm Area = \dfrac{\pi}{4}d^2$