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4 years ago

13

Translate the phrase, then simplify. Subtract eighty-two from one hundred fifty

1 answer:

emmasim [6.3K]4 years ago

7 0

Answer:

It is 18

Step-by-step explanation:100-82=18

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Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 8 inches and it gr

Pavlova-9 [17]

Answer:

H = 3t + 8

Step-by-step explanation:

Since the plant has an initial height of 8 inches, this will be added to the amount it grows each month.

3t will represent how much it grows t months after he bought the plant, since it grows 3 inches each month.

So, the equation will be H = 3t + 8

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B%28%20%5Csqrt%7B3%7D%20%29%7D%5E%7Bx%20%2B%20y%7D%20%20%3D%209%20%5C%5C%20%20%7B%28%20%5

algol13

<h2> $\bf \purple{ \underline{Given :-}}$ </h2>

$• \: {( \sqrt{3} )}^{x + y} = 9\: \: \: \: (i)$

$• \: {( \sqrt{2} )}^{x - y} = 32 \: \: \: \: (ii)$

$\\$

<h2> $\bf \purple{ \underline{To \: Find :- }}$ </h2>

$• {\sf{The \: value \: of}} \: \: 2x+ y.$

$\\$

$\huge\bf \purple{ \underline{Solution :- }}$

$\sf{From \: equation \: (i), }$

${( \sqrt{3} )}^{x + y} = 9$

$⇒ {( \sqrt{3} )}^{x + y} = ({ \sqrt{3} })^{4}$

$⇒ x + y = 4 \: \: \: \: (iii)$

$\\$

$\sf{From \: the \: equation \: (ii)}$

${( \sqrt{2} )}^{x - y} = 32$

$⇒( { \sqrt{2} })^{x - y} =( { \sqrt{2} })^{10}$

$⇒x - y = 10 \: \: \: \: (iv)$

$\\$

$\sf{We \: have \: to \: add \: equation \: (iii) \: and \: equation \: (iv)}$

$x + y + x - y = 4 + 10$

$⇒2x = 14$

$⇒x = 7$

$\\$

$\sf{Subtracting \: equation \: (iii) \: from \: equation \: (ii), }$

$x - y - x - y = 10 - 4$

$⇒ - 2y = 6$

$⇒y = - 3$

$\\$

$\bf\therefore x = 7 \: \: and \: \: y = - 3$

$\\$

${ \sf{Th e \: value \: of }}= 2x +y$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2 \times 7 + ( - 3)$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =14 - 3$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =11$

$\bf \red{Hence, \: the \: value \: of \: 2x + y \: is \: 11. }$

7 0

3 years ago

amanda like to knit hats and mittens for friends and family.last fall, she knitted 2 hats and 4 pairs of mittens, which which to

sdas [7]

Answer:

We now know that a hat takes 6 hours to knit and a pair of mittens take 9 hours to knit.

In total, it takes 15 hours to knit a hat and a pair of mittens.

Step-by-step explanation:

We can construct a system of equations to model this:

Let x represent hats and y represent mittens.

1. 2x + 4y = 48

2. 2x + 3y = 39 We can solve this system by elimination.

Mutliply equation 2, fully, by -1 to eliminate the x's.

2x + 4y = 48

-2x - 3y = -39 Now add the equations together.

y = 9 We can now substitute this into equation 1, or 2, to get the x value.

1. 2x + 4y = 48

2x + 4(9) = 48

2x + 36 = 48 Subtract 36 from both sides.

2x = 12 Divide both sides by 2.

x = 6

x represented the hats, and y represented the mittens, so we now know that a hat takes 6 hours to knit and a pair of mittens take 9 hours to knit.

In total, it takes 15 hours to knit a hat and a pair of mittens.

4 0

3 years ago

Orlov [11]

Answer:

idea to the house to eat 56&65

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2 years ago

I need help I need help

Cerrena [4.2K]

Answer:

${ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s$

Step-by-step explanation:

${ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}$

${ \underline{ \sf{ \blue{christ \: † \: alone}}}}$

5 0

3 years ago