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3 years ago

Christopher mixes gallon of red paint with 5/8 gallon of blue paint to make

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

7 0

Answer:1 3/8

Step-by-step explanation:

1 gallon + 5/8 gallon = 1 5/8 gallon

1 5/8 gallon - 2/8 gallon = 1 3/8 gallon left of purple paint

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Solve the inequality. Graph the solution set and write it in interval notation. .

STALIN [3.7K]

Answer:

-4

Step-by-step explanation:

8 0

2 years ago

What is the following quotient? StartFraction RootIndex 3 StartRoot 60 EndRoot Over RootIndex 3 StartRoot 20 EndRoot EndFraction

FrozenT [24]

Answer:

$\sqrt[3]{3}$

Step-by-step explanation:

We are required to simplify the quotient: $\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}$

Since the numerator and denominator both have the same root index, we can therefore say:

$\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}$

$=\sqrt[3]{3}$

The simplified form of the given quotient is $\sqrt[3]{3}$ .

6 0

2 years ago

Read 2 more answers

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the $x^2$ coefficient is 1, i.e. the equation is written like $x^2+bx+c=0$ , then you can say the following about the coefficients b and c:

$b$ is the opposite of the sum of the roots
$c$ is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

$4+(-2) = 4-2 = 2 \implies b = -2$
$4 \cdot (-2) = -8 \implies c = -8$

So, the equation is $x^2-2x-8=0$

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

$\dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}$
$\dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}$

And so the equation is

$x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0$

In order to have integer coefficients, you can multiply both sides of the equation by 8:

$8x^2 - 10 + 3 = 0$

5 0

3 years ago

Solve for x on each of these questions please!

IgorLugansk [536]

Answer:

1. x = 10

2. x = 4

Step-by-step explanation:

I use the angle ABC method:

AB² + AC² = BC²

6² + 8² = x²

x = 10

AB² + AC² = BC²

3² + x² = 5²

x = 4

HOPE THIS HELPS AND HAVE A NICE DAY <3

5 0

2 years ago

Mouza, Alreem, Latifa, Zayed and Mohammed are

julia-pushkina [17]

Answer:

900m

Step-by-step explanation: if one is 300m then do 300m x 3 =900m.

Hoped this help

7 0

2 years ago