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2 years ago

Substitute (= 3 and 1-6 to determine if the two expressions are equivalent.

Mathematics

1 answer:

mezya [45]2 years ago

4 0

Answer:a b d

Step-by-step explanation:

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(02.06 LC)

marta [7]

Correct answer is B

25 characters

3 0

3 years ago

Read 2 more answers

Which is smaller,two-thirds of 27 or two-fifths of 20?

shtirl [24]

" of " means multiply

2/3(27) = 54/3 = 18
2/5(20) = 40/5 = 8

so 2/5 of 20 is smaller

7 0

2 years ago

What is the value of x in the equation shown? 2(X + 8) - 4x = 10x + 4

Anna007 [38]

Answer:

Option C: X=1

Step-by-step explanation:

2(X + 8) - 4x = 10x + 4

2X + 16- 4X= 10X + 4

-2X +16 =10X + 4

16 - 4 = 10X+2X

12 =12X

X=1

7 0

2 years ago

You could win a giant jar of M&Ms, if only you could guess how many are in the jar. You find a smallerjar such that the gian

sleet_krkn [62]

Answer:

There are 7360 M&Ms in larger jar.

Step-by-step explanation:

We are given the following in the question:

A giant jar is such that it is exactly four times times the smaller jar in dimensions.

If r and h is the radius and height of the cylindrical jar respectively, then the dimensions of the larger are:

$R = 4r\\H=4h$

Number of M&Ms in smaller jar = 115

Volume of smaller jar =

$v = \dfrac{1}{3}\pi r^2 h$

Volume of larger jar =

$V =\dfrac{1}{3}\pi R^2 H=\dfrac{64}{3}\pi r^2 h$

Number of M&Ms in larger jar:

$v = \dfrac{1}{3}\pi r^2 h\rightarrow 115\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 115\times 64\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 7360$

Thus, there are 7360 M&Ms in larger jar.

6 0

2 years ago

.. Discuss the nature of the root of equation x2 + 2x + 3 = 0

Mariana [72]

Answer:

No real roots

Step-by-step explanation:

Given equation:

x² + 2x + 3 = 0

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

$~$

Two Distinct real roots, if b² - 4ac > 0
Two equal real roots, if b² - 4ac = 0
No real roots, if b² - 4ac < 0

$\\ \: \: \dashrightarrow \: \: \: \sf {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{ -8 > 0}}}}} \\ \\$

The discriminant is smaller than 0.

Hence, Equation has no real roots (no solution)

6 0

1 year ago