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Lana71 [14]
3 years ago
7

Maria bought a bag of marbles. There were twice as many purple ones as red ones. There were 93 marbles in all. How many of each

color marble were there?
Mathematics
2 answers:
dimaraw [331]3 years ago
4 0
You would start with 93/3 which gets you 31 red marbles.

Since there is twice as many purple ones as there is red ones you would do 31 x 2 or 31 + 31 which gets you 62 purple marbles.

So there are:
62 purple marbles
31 red marbles
Leto [7]3 years ago
3 0

Answer:62 purple

31 red

Step-by-step explanation:

93/3= 31 to find how many of each color.

31+31=62 purple

31 red

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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
Find the equation of a line which is parallel to y= 2/5 x + 17 and passes through (-15,12)
Naddika [18.5K]

Answer:

y = 2/5x + 18.

Step-by-step explanation:

The line will have the same slope of 2/5.

Using the point-slope form of a line:

y - 12 = 2/5(x - -15)

y - 12 = 2/5(x + 15)

y = 2/5x + 6 + 12

y = 2/5x + 18.

4 0
2 years ago
Read 2 more answers
A rectangle is a parallelogram with...
ch4aika [34]

Answer:

A rectangle is a parallelogram with d. four congruent angles

Step-by-step explanation:

A rectangle has four right angles meaning they are congruent.

6 0
3 years ago
In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0
3 years ago
Someone please help i do not understand this
Andrej [43]

understand what there isnt a photo

3 0
3 years ago
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