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Alexxandr [17]
2 years ago
15

Solve 3(x-4)=-5 for x​

Mathematics
2 answers:
makvit [3.9K]2 years ago
8 0

Answer:

x=7/3

Step-by-step explanation:

3(x-4)=-5

3x-12=-5

3x=7

x=7/3

anyanavicka [17]2 years ago
6 0

3(x-4)=-5

3x-12=-5  add 12 to both sides

3x=7 divide both sides by 3

x=7/3

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An auto shop had 5 tires. Two of the tires dry rotted, so the tires cannot be used. The auto shop expects 7 vehicles to come in
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Answer:

25

Explanation

5-2 equals 3

+1 that's one car

6x4 equals 24 + 1

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2 years ago
The ratio of boys to girls in a class is 4:5 what fraction of the class is boys and what fraction of the class is girls
ale4655 [162]
First, let's start off with the information we already have. Since the ratio is 4 boys to 5 girls, there has to be a minimum of 9 students (4 being boys and 5 being girls).

9 will be the denominator of both of our fractions since the boys and girls are in the same class.

The fraction of boys in the class is 4/9 (since there are 4 boys to 5 girls in a class of 9, we would write 4 over 9) and the fraction of girls in the class is 5/9.

This is a simplified version of the fractions. If this is a multiple-answer question and 4/9 and 5/9 are not up there, try multiplying the fractions with different numbers and see what fractions will be correct. 

But either way, 4/9 and 5/9 are correct :)

7 0
3 years ago
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Mr. Brown's class is collecting books for a book drive. They started with 2 books. On the first day, they had 6 books. On the se
elena-s [515]

Answer:

the answer is b i click it and it was right

y=2(3)^x

Step-by-step explanation:

5 0
2 years ago
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The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers
hichkok12 [17]

Answer:

(a) The distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable <em>X</em> is defined as the diameter of the pin and the random variable <em>Y</em> is defined as the diameter of the collar.

The distribution of <em>X</em> and <em>Y</em> is:

X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)

The random variables <em>X</em> and <em>Y</em> are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025

SD(Y-X)=\sqrt{0.00000025}=0.0005

The standard deviation of (Y - X) is 0.0005.

Thus, the distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z

*Use a <em>z</em>-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0
3 years ago
What is the form of the Difference of Cubes identity?
scoray [572]

Solution:

The difference of cubes identity is

if a and b are any two real numbers, then difference of their cubes , when taken individually:

→a³ - b³= (a-b)(a² + a b + b²)→→→Option (D) is true option.

I will show you , how this identity is valid.

Taking R H S

(a-b)(a² +b²+ab)

= a (a² +b²+ab)-b(a² +b²+ab)

= a³ + a b² +a²b -b a² -b³ -ab²

Cancelling  like terms , we get

= a³ - b³

= L H S



4 0
3 years ago
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