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3 years ago

Which equation is equivalent to x + x - (-3) = 12?

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

Answer:

C.) 2x+3 = 12

Step-by-step explanation:

x+x=2x

2x-(-3) is 2x+3

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You might be interested in

Is 0.8-3 equal to -2.2

Marysya12 [62]

Answer:

Yes, they are equal.

Step-by-step explanation:

-3.0 + 0.8 = -2.2

Hope it helps.

8 0

2 years ago

The vehicles petrol tank has a capacity of 40 litres. Will the vehicle be able to cover the full distance of 340km with on petro

mixer [17]

The vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Since the vehicles petrol tank has a capacity of 40 litres and the bvehicles wants to cover a distance of 340 with a pertol usage of 14 km/l.

We need to determine if the petrol in the tank will be enough to cover that distance.

<h3>Distance</h3>

So, distance = petrol usage × volume of tank

Since

petrol usage = 14 km/l and
volume of tank = 40 l,

Substituting the values of the variables into the equation, we have

distance = petrol usage × volume of tank

distance = 14 km/l × 40 l

distance = 560 km

Since the distance covered = 560 km which is greater than 340 km, the vehicle will be able to cover the full distance.

So, the vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Learn more about distance here:

brainly.com/question/10428039

5 0

2 years ago

Can someone help me with 3 a and b?? Thank you

polet [3.4K]

M∠ADB + m∠BDC = m∠ADC [angle addition postulate]

x + x + 10 = 60
2x + 10 = 60
2x = 60 - 10
2x = 50
x = 50/2
x = 25

a
m∠ADB = x = 25°

b
m∠BDC = x + 10 = 25 + 10 = 35°

5 0

3 years ago

20) Chester bought a new car with a sticker price of $18,675. He paid 25% of the cost as a down payment. What

ELEN [110]

Answer:

B is correct

8 0

2 years ago

Consider the population of all 1-gallon cans of dusty rose paint manufactured by a particular paint company. Suppose that a norm

Artemon [7]

Answer:

a) 0.5.

b) 0.8413

c) 0.8413

d) 0.6826

e) 0.9332

f) 1

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 6, \sigma = 0.2$

(a) P(x > 6) =

This is 1 subtracted by the pvalue of Z when X = 6. So

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

$Z = \frac{6-6}{0.2}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5.

1 - 0.5 = 0.5.

(b) P(x < 6.2)=

This is the pvalue of Z when X = 6.2. So

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

$Z = \frac{6.2-6}{0.2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

(c) P(x ≤ 6.2) =

In the normal distribution, the probability of an exact value, for example, P(X = 6.2), is always zero, which means that P(x ≤ 6.2) = P(x < 6.2) = 0.8413.

(d) P(5.8 < x < 6.2) =

This is the pvalue of Z when X = 6.2 subtracted by the pvalue of Z when X 5.8.

X = 6.2

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

$Z = \frac{6.2-6}{0.2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.8413

X = 5.8

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

$Z = \frac{5.8-6}{0.2}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

(e) P(x > 5.7) =

This is 1 subtracted by the pvalue of Z when X = 5.7.

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

$Z = \frac{5.8-6}{0.2}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

1 - 0.0668 = 0.9332

(f) P(x > 5) =

This is 1 subtracted by the pvalue of Z when X = 5.

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

$Z = \frac{5-6}{0.2}$

$Z = -5$

$Z = -5$ has a pvalue of 0.

1 - 0 = 1

5 0

3 years ago