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3 years ago

Five hundred students were asked whether they prefer apple juice or orange juice. The table shown displays the results.

Mathematics

1 answer:

Stells [14]3 years ago

5 0

Answer:

240 more girls

Step-by-step explanation:

210 + 160 = 370

100 + 30 = 130

370 - 130 = 240

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Substitution Method 2x+5y=-1 y=3x+10

Grace [21]

Substitution for both equations is (-3,1)

8 0

3 years ago

What is the value of this expression? (−4)4

Marina86 [1]

Answer:

-16

Step-by-step explanation:

Anything written in the form of a(b) or (b)a means a × b:

(-4)4 means -4 × 4 which is -16 (a positive and a negative multiplied together make a negative).

Hope this helps!

8 0

2 years ago

Change the subject of the formula L = v 4kt - p to k.

Romashka [77]

Answer:

$\boxed{k = \frac{L^2 + p}{4t}}$

General Formulas and Concepts:

Algebra I

Basic Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle L = \sqrt{4kt - p}$

Step 2: Solve for k
We can use equality properties to help us rewrite the equation to get k as our subject:

Let's first square both sides:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\\end{aligned}$

Next, add p to both sides:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\\end{aligned}$

Next, divide 4t by both sides:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow L^2 = \big( \sqrt{4kt - p} \big) ^2 \\& \rightarrow L^2 = 4kt - p \\& \rightarrow L^2 + p = 4kt \\& \rightarrow \frac{L^2 + p}{4t} = k \\\end{aligned}$

We can rewrite the new equation by swapping sides to obtain our final expression:

$\displaystyle\begin{aligned}L = \sqrt{4kt - p} & \rightarrow \boxed{k = \frac{L^2 + p}{4t}}\end{aligned}$

∴ we have changed the subject of the formula.

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Learn more about Algebra I: brainly.com/question/27698547

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Topic: Algebra I

6 0

2 years ago

A house is purchased for $375000 and has gained 12% for the last 5 years. What is it now ?

Ksenya-84 [330]

Answer:

$420,000

Step-by-step explanation:

The added percentage can be turned into a multiplier to make the problem easier.

value + 12%×value = value(1 +0.12) = 1.12×value

1.12×$375,000 = $420,000

It is $420,000 now.

7 0

3 years ago

A father is 38 years old. his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be

nalin [4]

Answer:

6 years

Step-by-step explanation:

So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.

So the father can be represented as: y=x+38

The sons can be represented as: y = x+13 and y=x+5

The daughter can be represented as: y=x+8

So adding up all his children you get:

(x+13)+(x+5)+(x+8)

This gives you the equation:

3x+26

Now set this equal to the father's age to solve for x (in this context it's years)

3x+26=x+38

Subtract from both sides

2x+26=38

Subtract 26 from both sides

2x=12

Divide both sides by 2

x=6

So in 6 years the father will be the same age as his children put together

8 0

2 years ago