All categories

3 years ago

What number can you multiply ONE equation by in the following system to obtain a matching

Mathematics

1 answer:

LenaWriter [7]3 years ago

7 0

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

$4x + 3y = 8$

$2x + 5y =12$

Required

Get matching coefficient for elimination

$4x + 3y = 8$

$2x + 5y =12$

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

$2 * (2x + 5y = 12)$

$4x + 10y = 24$

So, the system becomes:

$4x + 3y = 8$

$4x + 10y = 24$

<em>Now, x can be eliminated</em>

You might be interested in

What is the value of the expression?<br> 1/3-5/6<br> Enter your answer in simplest form.

algol [13]

Answer:

(1/3 - 5/6) / 5/6

You want to make 1/3 and 5/6 have the same denominator so you multiply both the numerator and denominator of 1/3 by 2 to get 2/6. You plug that back into your equation to get: (2/6 - 5/6) / 5/6. 2/6 - 5/6 is -3/6. -3/6 divided by 5/6 is -3/6 multiplied by 6/5 which is -3/5.

5 0

3 years ago

Read 2 more answers

Each month, Jeremy adds the same number of cards to his baseball card collection. In Jeremy, he had 36. 48 in February. 60 in Ma

lisabon 2012 [21]

I think that jeremy should learn how to do his own math

6 0

3 years ago

There are 57 people and i want everyone to have a slice of cake and i want to pay as little as possible and I want them to be th

julsineya [31]

So,

If you do some simple division, you will find how much each cm costs in each cake.
20cm cake = 67.5 cents/cm
25cm cake = 93.75 cents/cm

Assuming that you cannot order fractions of cakes, the best deal would be to order 5 of the 20cm cakes.
Cost = 13.50 * 5 = $67.50

You will have to pay $67.50 for the cakes if you want the best deal.

8 0

3 years ago

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to

attashe74 [19]

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .