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2 years ago

On the same graph draw line 2y-x=10 and y=3x

Mathematics

1 answer:

Luba_88 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

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Which decimal represents 3/5

lana [24]

The fraction ' 3/5 ' means "three divided by 5" .
When you perform the division, the quotient is 0.6 .
That's the decimal form of the fraction.

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3 years ago

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Figure A was translated 5 units left to create Figure B.

Black_prince [1.1K]

Answer:

Step-by-step explanation:

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3 years ago

Which expressions have a value of 16/81? Check all that apply.

SSSSS [86.1K]

$\huge\text{Hey there!}$

$\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }$

$\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}$

$\large\text{Option A. could POSSIBLY be your ANSWER}$

$\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}$

$\large\text{Option B. CANNOT be your POSSIBLE ANSWER}$

$\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}$

$\large\text{Option C. CANNOT be your POSSIBLE ANSWER}$

$\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}$

$\large\text{Option D. could POSSIBLY be your ANSWER}$

$\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}$

$\large\text{Option E. CANNOT be your POSSIBLE ANSWER}$

$\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

5 0

3 years ago

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3. Mrs. LeBlanc is making a Pokémon box. The length of the box is 12 inches greater than its width, and its height is 5 inches l

allsm [11]

Answer:

The width is 20 inches, the length is 32 inches and the height is 15 inches.

Step-by-step explanation:

Let x inches be the width of the box. If the length of the box is 12 inches greater than its width, then the length of the box is x+12 inches. If the height of the box is 5 inches less than its width, then the height of the box is x-5 inches.

The volume of box is

$V=\text{length}\cdot \text{width}\cdot \text{height}\ in^3.$

Therefore,

$9600=x\cdot (x+12)\cdot (x-5).$

Solve this equation:

$x(x^2+12x-5x-60)=9600,\\ \\x^3+7x^2-60x-9600=0.$

The integer solutions of this equation can be among the divisors of -9600. The divisors of 9600 are:

$\pm1, \pm2, \pm3, \pm4,\pm5,\pm6,\pm8,\pm10,\pm12,\pm15,\pm16,\pm20,\pm24,\pm25,\pm30,\pm32,....$

We can check all these divisors and see that x=20 is a solution, then using synthetic division

$x^3+7x^2-60x-9600=(x-20)(x^2+27x+480).$

Since the quadratic factor has discriminant $D=27^2-4\cdot 480=-1191$ we can state that the only solution is x=20 inches. The width is 20 inches, the length is 32 inches and the height is 15 inches.

4 0

2 years ago

A, B, and C are not choice answers, they're small questions.

Nataly [62]

I think that the Awnswer is B

8 0

3 years ago

Read 2 more answers

On the same graph draw line 2y-x=10 and y=3x​

On the same graph draw line 2y-x=10 and y=3x