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2 years ago

Kelly bought a cup of coffee and drank 5/8

Mathematics

2 answers:

kiruha [24]2 years ago

7 0

X+5/8 =1 is ur answer

vaieri [72.5K]2 years ago

3 0

Answer: x+5/8 = 1 is the equation where x is the remaining coffee.

Step-by-step explanation:

he drank = 5/8

whole coffee = 1

let coffee remaining be x

1-5/8 = x

x+5/8 = 1

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Can someone check this for me thanks.

kirill115 [55]

You are right all the way

8 0

2 years ago

the interior paint color melon madness,is 30% yellow, I used 72 ounces of yellow paint to mix the last batch. How many ounces of

Leona [35]

If the paint is 30% yellow, and you used 72 ounces of yellow, all you have to do is divide 72 by 30% to get the whole amount of ounces of paint made.
72 ÷ 0.30 = 240
In the last batch, you made 240 ounces of melon madness paint.

8 0

3 years ago

Read 2 more answers

Please solve these questions for me. i am having a difficult time understanding.

s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

$\angle AED = \angel BEC$ ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

Refer the attached figure

$\angle ABC = 90^{\circ}$

In ΔDBC

BC=DC (Given)

So, $\angle CDB=\angle DBC$ (Opposite angles of equal sides are equal)

So, $\angle CDB=\angle DBC=x$

So, $\angle CDB+\angle DBC+\angle BCD = 180^{\circ}$ (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So, $\angle CDB=\angle DBC=x = 65^{\circ}$

Now,

$\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90$

So, $\angle ABD=90-x=90-65=25^{\circ}$

In ΔABD

AB = BD (Given)

So, $\angle BAD=\angle BDA$ (Opposite angles of equal sides are equal)

So, $\angle BAD=\angle BDA=y$

So, $\angle BAD+\angle BDA+\angle ABD = 180^{\circ}$ (Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0

3 years ago

Given f’(x), where is f(x) increasing? Where is f(x) concave up?

Levart [38]

Answer:

See explanation below

Step-by-step explanation:

a. f(x) is increasing at (-∞, 1] and [7, ∞) because f'(x) is positive at those intervals.

b. f(x) is concave up at [4, ∞) because the slope of f'(x) or f''(x) is positive.

3 0

3 years ago

Make a rational equations with the following requirements

Rufina [12.5K]

Answer:

$f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}$

Step-by-step explanation:

Since f(x) has asymptotes at x = 5 and x = -5, then the denominator of the rational function contains the terms (x - 5) and (x + 5):

$f(x)=\dfrac{?}{(x-5)(x+5)}$

Since f(x) has x-intercepts at x = 2 and x = 1, then the numerator of the rational function contains the terms (x - 2) and (x - 1):

$f(x)=\dfrac{A(x-1)(x-2)}{(x-5)(x+5)}$

Now substitute the point (0, 4) and solve for A:

$f(0)=4\\\\\implies \dfrac{A(0-1)(0-2)}{(0-5)(0+5)}=4\\\\\\\implies -\dfrac{2}{25}A=4\\\\\\\implies A=-50$

So final rational function:

$f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}$

4 0

2 years ago