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3 years ago

7

One math student John can solve 6 math problems in 20 minutes while another student Jessica can solve the same6 problems at a ra

te of 1 problem per 4 minutes who works faster?

1 answer:

julsineya [31]3 years ago

4 0

Answer:

John works faster.

Step-by-step explanation:

=)

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The LCM of the two numbers is 60. The difference of the two numbers is three

Drupady [299]

List the factors of 60. Then look at the factors that are 3 apart, a difference of 3. This gives you 12 & 15. 12: 12, 24, 36, 48, 60 15: 15, 30, 46, 60

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3 years ago

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8.5b−3.4∙(13a−3.2b)+a

Nesterboy [21]

Answer:

8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a

Step-by-step explanation:

It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.

8.5b - 3.4(13a - 3.2b) + a

= 8.5b - 3.4*13a -3.4*(-3.2b) + a

= 8.5b - 3.4*13a + 3.4*3.2b + a

= 8.5b - 44.2a + 10.88 b + a

Now, only like terms can be added to each other

= (8.5b + 10.9b) + (a - 44.2a)

= 19.4b + (-43.2a)

= 19.4b - 43.2a

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3 years ago

A box is filled with 2 brown cards,8 yellow cards, and 8 green cards. A card is chosen at random from the box. What is the proba

IgorLugansk [536]

2 brown, 8 yellow, 8 green, thus our sample space is 2+8+8 = 18.

What is the probability that the card is NOT yellow? How many non-yellow are there? well 2 + 8 = 10, favorable outcomes.

$\bf \cfrac{\stackrel{\textit{favorable outcomes}}{10}}{\underset{\textit{sample space}}{18}}\implies \cfrac{5}{9}\implies 0.\overline{555}\qquad \approx \qquad 55.6\%$

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3 years ago

zloy xaker [14]

Answer:

Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.

Step-by-step explanation:

The exponent of variables in a polynomial should be natural numbers ( $0$ , $1$ , $2$ , $3$ , $\dots$ .)

$\sqrt{2\, x}$ is equal to $\sqrt{2}\, x^{1/2}$ . In this expression, $x$ is the variable. Its exponent is $1/2$ , which isn't a natural number.

On the other hand, $\sqrt{2}\, x$ is equivalent to $\sqrt{2}\, x^{1}$ . The exponent of variable $x$ is $1$ , which is indeed a natural number.

$\sqrt{2\, x}$ isn't a polynomial because the exponent of variable $x$ isn't a natural number. On the other hand, $\sqrt{2}\, x$ is indeed a polynomial over the set of real numbers.

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3 years ago

What is 2x times x squared?

tresset_1 [31]

We want to multiply the monomial $2x$ by the monomial $2x^2$ .

Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: $(a^m)(a^n)=a^{m+n}$ , $(x^2)(x^4)=x^{2+4}=x^6$ . Also, is worth pointing out that the exponent of a variable with no exponent is 1: $x=x^1$ .

Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so $x=1x$ . Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.

Let's apply all of that to our multiplication:

$(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3$

We can conclude that 2x times x squared is 2x cubed.

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3 years ago

Read 2 more answers