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3 years ago

Equations.

Mathematics

2 answers:

kap26 [50]3 years ago

8 0

Answer:

5x-10=35

5x=45

x=9

Step-by-step explanation:

Anuta_ua [19.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

5x-10=35

5x=45

x=9

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A blank is a unit rate with a denominator of 1 unit

Dima020 [189]

It is 3. That's the correct answer

6 0

3 years ago

To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82,74,82,and 74.Wha

motikmotik

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in math, Alexandria Pappas must average 80 on five tests.

Scores on the first four tests were 82, 74, 82, and 74.

Question asked:

What is the lowest score that she can get on the last test and still get a B?

Solution:

Let lowest score she can get on the last test = $x$

As we know:

$Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\$

By cross multiplication:-

$80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x$

Thus, she can get 88 score on the last test to get a B in math.

5 0

3 years ago

A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

4 0

2 years ago

The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches. The Minimum allowable l

zmey [24]

Answer:

Minimum - 8.1 inches

Maximum - 8.35 inches

Step-by-step explanation:

The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches.

This means that the minimum length must not be 0.125 inches less than 8.225 inches and the maximum length must not be 0.125 inches greater than 8.225 inches.

The minimum length is therefore:

8.225 - 0.125 = 8.1 inches

The maximum length is therefore:

8.225 + 0.125 = 8.35 inches

6 0

2 years ago

Please help me :(((((((

Gala2k [10]

Answer:

The answer is B

Step-by-step explanation:

Each smaller rectangle is being multiplied by a so 2a + 3a + 4a would give you the total area of the entire large rectangle.

6 0

2 years ago