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2 years ago

Which expressions are equivalent to 10a - 25 + 5b

Mathematics

2 answers:

galben [10]2 years ago

5 0

Answer:

(-2a +5 - b)(-5)

Step-by-step explanation:

Liono4ka [1.6K]2 years ago

4 0

Answer:Move −25-25.

10a+5b−25

Step-by-step explanation:

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Please Help!!

GarryVolchara [31]

Answer:

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:

{X - 2 Y = -2 | (equation 1)

{3 X - 2 Y = 2 | (equation 2)

Swap equation 1 with equation 2:

{3 X - 2 Y = 2 | (equation 1)

{X - 2 Y = -2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 X - 2 Y = 2 | (equation 1)

{0 X - (4 Y)/3 = (-8)/3 | (equation 2)

Multiply equation 2 by -3/4:

{3 X - 2 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Add 2 × (equation 2) to equation 1:

{3 X+0 Y = 6 | (equation 1)

{0 X+Y = 2 | (equation 2)

Divide equation 1 by 3:

{X+0 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Collect results:

Answer: {X = 2 , Y = 2

4 0

3 years ago

Read 2 more answers

Triple a number decreased by 14

Ira Lisetskai [31]

Since we know 14, but we don't know the other number, we use a variable. To do that, we look at the problem, then we figure out the unknown. The unknown is: A number. We know 14. Since "Triple" means 3, we can put the exponent 3 by X.

Therefore, the answer is $X^3-14$ .

3 0

3 years ago

Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?

Liula [17]

Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

7 0

3 years ago

A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu

telo118 [61]

Answer:

64.56% probability that between 17 and 25 circuits in the sample are defective.

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 samples 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 110, p = 0.2$

$\mu = E(X) = np = 110*0.2 = 22$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{110*0.2*0.8} = 4.1952$

Probability that between 17 and 25 circuits in the sample are defective.

This is the pvalue of Z when X = 25 subtrated by the pvalue of Z when X = 17. So

X = 25

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

$Z = \frac{25 - 22}{4.1952}$

$Z = 0.715$

$Z = 0.715$ has a pvalue of 0.7626.

X = 17

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

$Z = \frac{17 - 22}{4.1952}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170.

0.7626 - 0.1170 = 0.6456

64.56% probability that between 17 and 25 circuits in the sample are defective.

4 0

3 years ago

May I please have help from anyone thank you so much !

Vanyuwa [196]

You’re solving for the volume of the cylinder. so the way you would do this is the area of the base of the cylinder (pi times radius squared) which in this case would be 3.14 x 10^2 which is 314. you would then multiply by h, the height, which here is 10. 314 x 10 is 3140.

8 0

3 years ago