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3 years ago

The costs of Brand A and Brand B coffee beans are $400/kg and

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

The ratio of x:y is 1/2

Step-by-step explanation:

Let

x----> the number of Kg of brand A

y ---> the number of Kg of brand B

we know that

400x+280y=320(x+y)

400x+280y=320x+320y

400x-320x=320y-280y

80x=40y

x/y=40/80

x/y=1/2

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AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show

dexar [7]

Answer:

$BC=15\ units$

Step-by-step explanation:

we know that

In a parallelogram opposite sides are congruent

In this problem

we have that

AB and DC are opposite sides

AD and BC are opposite sides

AB=DC

AD=BC

step 1

Find the value of x

AB=DC

substitute the given values

$x+15=4x$

solve for x

$4x-x=15$

$3x=15$

$x=5\ units$

step 2

Find the length of AD

we have that

$AD=x+10$

substitute the value of x

$AD=5+10=15\ units$

step 3

Find the length of BC

Remember that

AD=BC ----> by opposite sides

therefore

$BC=15\ units$

6 0

3 years ago

Amber built a custom terrarium for her plants.What is the volume of the terrarium?

Alexus [3.1K]

Answer: 6600 cu in

Step-by-step explanation: (12*10*40=4800)+(10*10*18=1800)=6600

5 0

3 years ago

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What is the area of this triangle?

ki77a [65]

Answer:

The area of this triangle is.. $30 in^2$

Step-by-step explanation:

6 x 10 divided by 2 = 30

3 0

3 years ago

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Solve the inequality and express your answer in interval notation x^2+8x+5 <0

irakobra [83]

The interval notation is $(-\sqrt{11}-4, \sqrt{11}-4)$

Explanation:

The inequality is $x^{2}+8 x+5$

Let us complete the square, we get,

$x^{2}+8 x+5+4^{2}-4^{2}$

Simplifying, we have,

$(x+4)^{2}+5-4^{2}$

$(x+4)^{2}-11$

Adding both sides of the equation by 11, we get,

$(x+4)^{2}$

Since, we know that for $u^{n}$ , if n is even then $-\sqrt[n]{a}$

Thus, writing the above expression in this form, we get,

$-\sqrt{11}$

Also, if $a$ then $a$ and $u$

Then ,we have,

$-\sqrt{11}$ and $x+4$

Solving the inequalities, we get,

$-\sqrt{11}\ \ \ \ \ \$ and $x+4$

Merging the intervals, we have,

$-\sqrt{11}-4$

Hence, writing the solution in interval notation, we have,

$(-\sqrt{11}-4, \sqrt{11}-4)$

Therefore, the answer is $(-\sqrt{11}-4, \sqrt{11}-4)$

7 0

3 years ago

Write 74 in expanded form. Then check all that apply. The base is 7. The exponent is 4. The exponent tells you to multiply 7 tog

rewona [7]

Answer:

7*7*7*7

Step-by-step explanation:

=> $7^4$

This means that 7 is multiplied 4 times

So, it becomes:

=> (7×7×7×7)

3 0

3 years ago

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