What is the solution to this equation? 5(x-3)=21 what does x equal

Answer:

the length of the edge of the cube is 5 meters

Step-by-step explanation:

The surface area of a cube can be found using the formula:

Surface Area = 6 x (side length)^2.

Since the surface area of this cube is 150 square meters, we can set up an equation to solve for the side length:

150 = 6 x (side length)^2

Dividing both sides by 6, we get:

25 = (side length)^2

Taking the square root of both sides, we find the side length:

side length = sqrt(25) = 5 meters.

So the length of the edge of the cube is 5 meters.

Answer:

Step-by-step explanation:

60(12*5) as a square has 4 on the top same for the bottom and has 4 vertices. I hope this helps

The distance between the foot of the ladder from the bottom of the wall is 40 meters.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Here,
The distance between the foot of the ladder from the bottom of the wall can be found by using the Pythagorean theorem.

The ladder is the hypotenuse, with a length of 50m

The distance from the wall to the ground is 30m

The distance from the wall to the foot of the ladder is x

Using the Pythagorean theorem:

x² + 30² = 50²

x² + 900 = 2500

x² = 1600

x = 40

So, the distance between the foot of the ladder from the bottom of the wall is 40 meters.

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Answer:

18.84

Step-by-step explanation:

The area of the triangle is 72 units².

The area of a triangle can be found using sine as follows:

area of a triangle = 1 / 2 ab sin C

Hence,

Therefore,

area of a triangle = 1 / 2 × 12 × 24 × sin 30

area of a triangle = 1 / 2 × 288 × sin 30

area of a triangle = 1 / 2 × 288 × 0.5

area of a triangle = 1 / 2 × 144

area of a triangle = 72 units²

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Using this formula, we find that d = 2/3, meaning Beth rode 2/3 of a mile farther than she walked. The formula to solve this problem is d = 1/2 - 1/12, where d is the difference in distance between the bus ride and the walk.

Beth rode the bus 1/2 of a mile and then walked 1/12 of a mile to get home. To calculate how much farther she rode than walked, we need to subtract the distance walked from the distance ridden. The formula to solve this problem is d = 1/2 - 1/12, where d is the difference in distance between the bus ride and the walk. Using this formula, we find that d = 2/3, meaning Beth rode 2/3 of a mile farther than she walked.

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Answer:

Step-by-step explanation:

4x + 9 = x + 30

3x + 9 = 30

3x = 21

x = 7

Step-by-step explanation:

here, 4 days = 20 miles

so, 1 day = 5 miles

hence, x miles = 5x miles

The answer is 1.25 ft-lb. This can be calculated by multiplying 15 ft-lb by (9 in. / 12 in. per ft), which equals 1.25 ft-lb. The amount of work needed to stretch a spring 9 inches beyond its natural length is 1.25 ft-lb.

1. Convert 9 in. to feet by dividing 9 in. by 12 in. per ft.

2. Multiply the result (0.75 ft) by 15 ft-lb, which equals 1.25 ft-lb.

The amount of work needed to stretch a spring 9 inches beyond its natural length is 1.25 ft-lb. This can be found by taking the given work required to stretch the spring 1 foot (15 ft-lb) and multiplying it by the ratio of the desired distance (9 in.) to 1 foot (12 in. per ft). First, the desired distance of 9 inches must be converted to feet by dividing it by the conversion factor of 12 inches per foot. This results in 0.75 feet. This number is then multiplied by the given work of 15 ft-lb to yield 1.25 ft-lb of work. This is the amount of work needed to stretch the spring 9 inches beyond its natural length.

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Answer:

b = -66.

Step-by-step explanation:

[tex]18 = \frac{b}{ - 3} - 4 \\ = - 3(18) = - 3 \times \frac{b}{ - 3} - 4( - 3) \\ = - 54 = b + 12 \\ = - 54 - 12 = b \\ = - 66 = b[/tex]

Gold costs less than platinum per ounce because the slope of the graph for gold is less than that of the chart for platinum. The slope of the graph tells you the unit rate in dollars per ounce.

In Mathematics, a slope is sometimes referred to as rate of change and it is typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Mathematically, the slope (rate of change) can be calculated by using this mathematical expression;

Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope), m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph of the weight of gold and platinum, we can reasonably infer and logically deduce that the slope (unit rate) of the graph for gold is less than the slope (unit rate) of the graph for platinum.

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Complete Question:

Use the drop-down menus to complete the statements to match the information shown by the graph.

A graph has weight (ounces) on the x-axis, and cost (dollars) on the y-axis. A line labeled gold starts at (0, 0) and has a positive slope. A line marked platinum starts at (0, 0) and has a greater positive slope than gold.

Gold costs ---------------- platinum per ounce because the ----------- of the graph for gold is -------------that of the chart for platinum. The --------of the graph tells you the unit rate in _____.

Answer:

О m³   (cubic meters)

Step-by-step explanation:

The volume formula is length * width * height

Example:

volume = 3m * 5m * 4m

volume = 60m³

The solution is, О m³   (cubic meters), is the correct label to show volume.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

to find the correct label to show volume.

now, we know that,

The volume formula is length * width * height

as we know that,

the standard unit for length is meter (m).

now, we have,

length has unit m

width (= length) has unit m

and, height (=length)  has unit m

so, we get,

Volume = length * width * height

             = m * m* m  (as unit)

             = m³

Example:

volume = 3m * 5m * 4m

volume = 60m³

Hence, The solution is, О m³   (cubic meters), is the correct label to show volume.

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Answer:

Step-by-step explanation:

3x- (3x-2)=7

- (3x-2) = -3x+2

3x-3x=0x

so the answer is zero or imposible becasue nothing can be times by zero

The dot product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex]  in terms of the positive scalar quantities a, b, c, and d is:

[tex]\vec{A}.\vec{B}=-ab[/tex]

The scalar product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex] is given by the formula:

[tex]\vec{A}.\vec{B}=(a_1*b_1) + (a_2*b_2) + (a_3*b_3)[/tex]

Where a₁, a₂, and a₃ are the components of vector [tex]\vec{A}[/tex] and b₁, b₂, and b₃ are the components of vector [tex]\vec{B}[/tex].

In this case, vector A = (ai - bk) and vector B = (- cj + dk), so the components of vector A are a₁ = a, a₂ = 0, and a₃ = -b, and the components of vector B are b₁ = 0, b₂ = -c, and b₃ = d.

Plugging these values into the formula for the dot product, we get:

[tex]\vec{A}.\vec{B}=(a*0) + (0*-c) + (-d*b)\\\\\vec{A}.\vec{B}= 0 + 0 + (-bd) \\\\\vec{A}.\vec{B}=-bd[/tex]

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If a plumber cut a pipe into 5 equal pieces and had 27 cm of the pipe left. the length of the first pipe originally is 702 cm.

Let's call the original length of the first pipe "L"

Let the length of each of the 5 equal pieces "x".

set up the equation:

5x + 27 = L

Each piece of the second pipe is "x" cm long. The second pipe is 15 m long, which is equivalent to 1500 cm. The plumber cut 11 pieces of the same length as each of the 5 equal pieces from the first pipe, so the total length of the 11 pieces is:

11x

The plumber had 15 cm of the second pipe left over after cutting 11 pieces, so we can set up another equation:

1500 - 11x = 15

Solving for "x" in the second equation:

11x = 1485

x = 135

So each piece of the second pipe is 135 cm long.

To find the original length of the first pipe, we can substitute x = 135 into the first equation and solve for L:

5x + 27 = L

5(135) + 27 = L

L = 702

Therefore, the original length of the first pipe was 702 cm.

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Step-by-step explanation:

The constant in an expression is the number without any letters attached to it.

Looks like B and E are the only ones with constant. The other 3 only have numbers attached to numbers

The collection of 4 in, 5 in, and 10in of three side lengths will not form a triangle.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, A triangle has a property that the sum of any two sides is always greater than the third side and the difference between any two sides is smaller than the third side.

From the given options if we observe the third option,

4 + 5 should be greater than 10 but it is not therefore, It is the correct option.

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Answer: imma say do 8x3x2= the answer you get then 8x10= the answer you get then multiply the two answer you get that should be you answer.  

Step-by-step explanation: hope this helps

The slope of the given straight line passing through the coordinates given would be -8.

       By + C = - Ax

       By = - Ax - C

       y = -(A/B)x - (C/B)

Given are the coordinate points lying on the line.

We can write the slope as -

m = (y₂ - y₁)/(x₂ - x₁)

m = {12 - 36}/{11 - 8}

m = -24/3

m = -8

Therefore, the slope of the given straight line passing through the coordinates given would be -8.

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The distance from point A to point B is 1496 ft.

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Given that, a boat is at point A which at 724 ft distance from a lighthouse making an angle of elevation to the lighthouse’s beacon-light of 16°, when moved to some distance B making an angle of elevation to the lighthouse’s beacon-light of 5°, we need to find the distance from point A to point B.

Refer to the figure attached,

The whole scene is creating two right triangles, rt Δ CDA and rt Δ CDB

Using the trigonometric functions, in rt Δ CDA,

We have,

tan 16° = CD/DA

CD = tan 16° × 724

CD = 207.6

Therefore, the height of the lighthouse is 207.6 ft

Now,

tan 5° = CD/DB

DB = CD / tan 5°

DB = 2373

The distance between A and B = DB-DA = 2373 - 724 = 1496

Hence, the distance from point A to point B is 1496 ft.

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Answer:

x = -2, y = -4

Step-by-step explanation:

Take the first equation-   -2y = 2 - 3x
Arrange it first-
-3x + 2y = -2

Multiply is by 5 on both sides
5(-3x + 2y) = 5(-2)
-15x + 10y = -10

Take the second equation-    -5y = 10 - 5x
Arrange it-
-5x + 5y = -10

Multiply is by 2 on both sides
2(-5x + 5y) = 2(-10)
-10x + 10y = -20

Subtract second equation from the first one-

  -15x + 10y = -10
-  -10x + 10y = -20
= -5x = 10

-5x = 10
x = 10/(-5)
x = -2

Substitute the value of x in Equation 1
-2y = 2 - 3(-2)
-2y = 2 + 6
-2y = 8
y = 8/(-2)
y = -4

Hope it helps ;)

Answer:

Mai spent 60% of her total spending on fruit

Step-by-step explanation:

To find the percentage of the total spent on fruit, we can divide the amount spent on fruit by the total amount paid and multiply by 100 to express the answer as a percentage.

First, let's find the amount spent on things other than fruit: $15 total spent - $9 spent on fruit = $6 spent on other things.

Next, we divide the amount spent on fruit by the total amount spent: $9 on fruit / $15 total spent = 0.6.

Finally, we multiply by 100 to express the answer as a percentage: 0.6 * 100 = 60%.

So Mai spent 60% of her total spending on fruit.

A correlation coefficient of 0.05 indicates a very weak positive correlation between the number of bedrooms and selling price.

When Bob calculates the correlation between the number of bedrooms in a home and its selling price and obtains a value of only 0.05, he can conclude that there is little to no linear relationship between the two variables.

Correlation is a statistical measure that indicates the degree to which two variables are related and the direction of the relationship. A correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

A correlation coefficient of 0.05 is very close to 0, indicating that there is almost no linear relationship between the number of bedrooms in a home and its selling price.

However, it is important to note that a low correlation coefficient does not necessarily mean that there is no relationship between the variables, as there could be a non-linear relationship or other types of relationships that cannot be captured by a correlation coefficient.

Therefore, Bob should further analyze the data set and explore other statistical measures or techniques to fully understand the relationship between the number of bedrooms in a home and its selling price.

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If a 0.10 significance level is used in place of a 0.05 significance level, the power of the test will generally increase. As we are increasing the probability of rejecting the null hypothesis.

The significance level (alpha) of a hypothesis test determines the probability of making a Type I error, which is the probability of rejecting the null hypothesis when it is actually true. The power of a test, on the other hand, is the probability of correctly rejecting the null hypothesis when it is actually false (i.e., the probability of detecting a true effect).

By using a higher significance level (0.10 instead of 0.05), we are increasing the probability of rejecting the null hypothesis, which means we are more likely to detect a true effect. This results in an increase in the power of the test. However, it's worth noting that using a higher significance level also increases the risk of making a Type I error, which means we have to be careful when interpreting the results of the test.

In summary, increasing the significance level generally increases the power of the test, but it also increases the risk of making a Type I error

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Vertices :

Edges:

Step-by-step explanation: A vertex is a corner on shape. And edge is a line segment between faces. A face is singular flat surface.

An elevation of negative 25 feet is less than an elevation of 0 feet: True.

An elevation of negative 25 feet is greater than an elevation of 5 feet: False.

An elevation of negative 25 feet is less than an elevation of negative 5 feet: True.

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In this context, we can reasonably infer and logically deduce that all numerical values (numbers) to the left are always less than numerical values (numbers) located to the right of a number line such as the following:

-25 < 0.

-25 < 5.

-25 < -5.

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If you multiply the left side of an equation by 4, what must you multiply the right side of the equation by 4

Here you you multiply the left side of an equation by 4.

According to the solving for unknow rule you must perform same function to both side of the equation. If you multiply the left side of an equation by any integer then you must multiply the same integer on right hand side of the equation

To maintain equality, you must multiply the right side of the equation by 4 as well.

This is because the left side of the equation represents the same quantity as the right side, so any operation that is performed on one side must also be performed on the other side to preserve the equality.

Therefore, you must multiply the right side of the equation by 4

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Answer: An incline, a slant up or down.

Step-by-step explanation:

Bill should use the "Print It"company.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

To determine which company Bill should use, you need to calculate the total cost of each option and compare them.

For "Print It," the total cost would be :

= 30 x $21.50

Apply the multiplication operation, and we get

= $645.00

For "Top Print," the total cost would be :

= $70.00 + (30 x $18.00)

= $690.00

Since the cost of "Print It" is lower than "Top Print," Bill should use "Print It" as it would be a more cost-effective option for him.

Thus, he should use the "Print It"company.

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Answer:

39

Step-by-step explanation:

165 and 3/4 is equal to 165.75 and 4 and 1/4 is 4.25

165.75/4.25=39

39 uniforms could be made