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Marina CMI [18]
3 years ago
7

What is x^2+( 5√2-x)^2= 5√2^2

Mathematics
1 answer:
suter [353]3 years ago
3 0
x^2+( 5\sqrt2-x)^2= (5\sqrt2)^2\\
x^2+50-10\sqrt2x+x^2=50\\
2x^2-10\sqrt2x=0\\
x^2-5\sqrt2x=0\\
x(x-5\sqrt2)=0\\
x=0 \vee x=5\sqrt2
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which situation would be represented by a discrete probability distribution? a) the weight of fire fighters b) the overall avera
IgorC [24]
A discrete variable is a variable which may take only certain discrete values; for example the number of people in a household is a discrete variable which may have the value 1, 2, 3, etc. but cannot have intermediate values such as 1.473 or 3.732.
Choice d) can be represented by a discrete probability distribution, the other choices cannot be so represented.
4 0
3 years ago
4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co
Nataly_w [17]

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

-12t - 28a = -34

Add them together and solve for a:

-4a = -4

a = 1

Plug in 1 as a into one of the equations and solve for t:

4t + 8a = 10

4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

3 0
3 years ago
Suppose that the candy machine holds exactly 650 skittles, and every time someone inserts a quarter, exactly 7 skittles come out
Lady bird [3.3K]

Answer:

510 skittles left in the machine

Step-by-step explanation:

7 skittles x 20 quaters = 140 skittles taken out

650 - 140 = 510

7 0
2 years ago
Margaret bought a video game, her father gave her 0.2 of the money, her aunt gave 0.5 of the money and she saved the rest. She s
const2013 [10]

Answer:

if Im correct it should be $8.40

Step-by-step explanation:

why well if you think of breaking down by say 1/4 of 168 all you do is divide 4 which is the whole amount by 0.2 which is the amount the father gave her so 4/0.2= 20 the you take your whole 168 and divide by 20 which the whole number for 0.2 the your answer should be this 168/20= 8.4 which then i assumed it was $8.40 hopefully that is correct hehe

5 0
2 years ago
For the problem 1/5g- 1/10- g + 1 3/10g -1/10, Tyson created an equivalent expression using the following steps. 1/5g+-1g+1 3/10
professor190 [17]

The true statements are:

  • Tyson's expression is not equivalent to the original expression
  • The equivalent expression is:\frac{1}{2}g- \frac 1{5}

<h3>What are equivalent expressions?</h3>

Equivalent expressions are expressions that have equal values

The original expression is given as:

\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10}

Collect like terms

\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10} = \frac 15g - g + 1 \frac{3}{10}g- \frac 1{10}  -\frac{1}{10}

Evaluate the like terms

\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10} = \frac{1}{2}g- \frac 1{5}

Tyler's equivalent expression is given as:

\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10}

Collect like terms

\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10} = \frac15g-g+ 1 \frac3{10}g-\frac 45g-\frac 1{10}+1 \frac{1}{10}

Evaluate the like terms

\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10} = -\frac 3{10}g

The simplified expressions of the original expression, and Tyson's equivalent expressions are not equal.

Hence, Tyson's expression is not equivalent to the original expression

Read more about equivalent expressions at:

brainly.com/question/9603710

3 0
2 years ago
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