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Andreyy89
3 years ago
15

Which of the following is a true statement?

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

The last choice: 68/5 - 22/5 = 9 1/5

Step-by-step explanation:

Solve each problem:

9 3/7 = 10 3/7

The fractions are the same so look at the whole numbers.

Does 9 equal 10? No, it doesn't so this is a false statement.

332/4 = 1/83

Simplify 332/4:

332/4 = 83/1

83 does not equal 1/83 so this is a false statement.

37/5 = 5 2/5

Convert the improper fraction into a mixed number:

7 2/5 = 5 2/5

These numbers do not equal each other so this is a false.

68/5 - 22/5 = 9 1/5

Subtract the numerators on the left side of the equation:

46/5 = 9 1/5

Convert the improper fraction into a mixed number:

9 1/5 = 9 1/5

These numbers equal each other so this is a true statement!

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Six identical squares are cut from the corners and edges of an 80 cm by 50 cm cardboard rectangle. the remaining piece is folded
Anna11 [10]
Check the picture.

let the length of a side of each of the squares removed be x.

The box formed will have dimensions: 80-2x, 50-2x, x(the height)

So the volume can be expressed as a function of x as follows:

f(x)=(80-2x)(50-2x)x=[4000-160x-100x+4 x^{2} ]x=(4 x^{2}-260x+4000)x

so f(x)=4 x^{3}-260x^{2}+4000x

the solutions of f'(x)=0 gives the inflection points, so the candidates for maxima points,

f'(x)=12x^{2}-520 x +4000=0

solving the quadratic equation, either by a calculator, graphing software, or by other algebraic methods as the discriminant formula, we find the solutions

x=10 and x=33.333

plug in f(x) these values to see which greater:

f(10)=(80-20)(50-20)10=60*30*10=18000 cm cubed

f(33.333)=(80-66.666)(50-66.666)33.333= which is negative because (50-66.666)<0



Answer: 18000 cm cubed

5 0
2 years ago
Read 2 more answers
Which graph best represents the function f(x)=2x ?
yan [13]

Answer:

B

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents 2(2^x) = 2^{x+1}, B is the one you want, C is \frac{2^x}2 = 2^{x-1} and D looks like 4^x = 2^2^x

3 0
2 years ago
I really need help pls?
Gnesinka [82]

Answer:

See Below

Step-by-step explanation:

Ok, this is just like the systems of equations.

x-7 = 5x-31

Solve

x-7 = 5x-31

-x     -x

-7 = 4x -31

+31       +31

24 = 4x

24/ 4   = 4x/ 4

x=6

Hope this helps!=)

8 0
2 years ago
The total cost to go horseback riding is x dollars per hour plus a $3 fee for renting a helmet. Write an expression to represent
solniwko [45]

The answer is 15x + 15

Each person needs to pay x dollars per hour, and also 3 dollars for a helmet

Let us convert this into a pseudo-expression:

1 person = (x dollars) x (y hours) + 3 dollars

Now, it says that there are 5 people, so we need to multiply both sides by 5

5 people = 5 x (x dollars) x (yhours) + 3 x 5 dollars

Furthermore, it says that each person wants to go horseback riding for 3 hours:

5 people = 5(x dollars) x (3 hours) + 15 dollars

Now, we just need to convert this into an expression

5 people = 5(x)(3) + 15

5 people = 15x+15

They want the expression for cost, so we just need to give them

15x + 15

5 0
2 years ago
What is the product of StartFraction 7 Over 9 EndFraction and One-fourth?
Paha777 [63]

Answer:cause

Step-by-step explanation:

7 0
3 years ago
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