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3 years ago

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li writes the expression “half of the sum of 9 and a number.” Write an algebraic expression that is equivalent to Ali’s expressi

on. Write a second algebraic expression that is different from, but equivalent to, your first expression. Respond in the space provided.

1 answer:

Kazeer [188]3 years ago

8 0

Answer:

Step-by-step explanation:

.......

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Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

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3 years ago

Divide (15x^2+x-8)/(3x-1)

blondinia [14]

<span>Simplifying -15x2 + -2x + 8 = 0
Reorder the terms: 8 + -2x + -15x2 = 0 Solving 8 + -2x + -15x2 = 0 Solving for variable 'x'.
Factor a trinomial. (2 + -3x)(4 + 5x) = 0 Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying 2 + -3x = 0 Solving 2 + -3x = 0
Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2
Combine like terms: 0 + -2 = -2 -3x = -2
Divide each side by '-3'. x = 0.6666666667
Simplifying x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
Simplifying 4 + 5x = 0
Solving 4 + 5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4
Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4
Combine like terms: 0 + -4 = -4 5x = -4
Divide each side by '5'. x = -0.8 Simplifying x = -0.8
Solutionx = {0.6666666667, -0.8}</span>

4 0

3 years ago

Study time (hours)

xxTIMURxx [149]

Answer: A B and C

Step-by-step explanation:

I did the usatestprep

7 0

3 years ago

A liquid at temperature 7575F is placed in an oven at temperature 450450. The temperature of the liquid increases at a rate 77 t

hichkok12 [17]

Answer: $\dfrac{dT(t)}{dt}=77\times (450-T)$

Step-by-step explanation:

Given

The temperature of the liquid is $75^{\circ}F$ placed in an oven with temperature of $450^{\circ}F$ .

Initially difference in temperature of the two

$\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F$

According to the question

$\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]$

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3 years ago

Emilio has 8,450 trees to plant in row of his tree garden.He will plant 125 trees per row.How many full rows of trees will he ha

Gnoma [55]

Answer:

67 full rows

Step-by-step explanation:

8450÷125 =67.6 since the .6 isn't a full row there is 67 full.

6 0

3 years ago