All categories

3 years ago

Solve for x. 1 + 5x = -29

Mathematics

2 answers:

frozen [14]3 years ago

6 0

Answer:

x = -6

Step-by-step explanation:

You first need to isloate the variable, so you subtract 1 on both sides.

1 - 1 + 5x + -29 -1

5x + -30

Then you need to get rid of the 5 by dividing them on both sides.

5x/5 = -30/5

x = -6

kodGreya [7K]3 years ago

5 0

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = - 6

You might be interested in

Convert to quarts: 10 pints

Ad libitum [116K]

Answer:

Step-by-step explanation:

Pints and Quarts are measures of volume. The relationship between them is rather simple.

We know 2 pints = 1 Quart

The problem gives us the number of pints and we need to find the number of quarts. From the relationship, we see that "pints divided by 2 will give us quarts"

Given >> 10 pints

Hence, number of quarts would be 10/2 = 5

Hence 10 pints = 5 quarts

Answer choice B is right.

8 0

3 years ago

Look at the right-angled triangle ABC.

olga_2 [115]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

he dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∠x + 90° = 180°

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

8 0

2 years ago

Find the unknown length of the right triangle. If necessary approximate the length to the nearest thousandth

WARRIOR [948]

We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:

$h^2=(10km)^2+(20km)^2$

Now, we solve the square:

$h^2=100km^2+400km^2$

Now, we add the values:

$h^2=500km^2$

Now, we take the square root to both sides:

$h=\sqrt[]{500km^2}$

Solving the operations:

$h=22.361km$

Therefore, the length of the hypotenuse is 22.361 kilometers.

6 0

1 year ago

Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans

statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where $\bar{x}$ is the mean weight $\sigma$ is the standard deviation $t_{\alpha/2}$ is the critical value from t-table and n is the sample size.

The term $t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } )$ is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0

2 years ago

Manuel climbs a tower from ground level to an elevation of 135 1/2 ft he climbs down 27 1/2 ft how far is Manuel from the ground

Helen [10]

Answer: 108 feet

Step-by-step explanation: (135.5-27.5) = 108 feet

4 0

2 years ago

Read 2 more answers