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1/2x + 5 = 15

1/5x + 5 - 5 = 15 - 5 Subtract 5 from both sides

1/2x = 10

2 * (1/2x) = (2) * (10) Multiply both of the sides by 2

x = 20

Hope this answer helped you!

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Answer:

x = 20

Step-by-step explanation:

1/2 x 20/1 = 20/2 = 10

10 + 5 = 15

Hope this helps.

A ratio shows how many times one number contains another.

Hence, the sand is in the ratio \(\frac{1}{6}\) of the mixture is

\(\frac{1}{6}\)×\(1800=300kg\)

The Gravel is in the ratio \(\frac{2}{6}\)×\(1800=600kg\)

And the cement is in ratio \(\frac{3}{6}\)×\(1800=900kg\)

What is the ratio ?

A ratio is an ordered pair of numbers \(a\) and \(b\), written \(\frac{a}{b}\) where \(b\) does not equal \(0\). A proportion is an equation in which two ratios are set equal to each other.

Here the given ratio is \(1:2:3\).

Here given that,

The dry concrete is   \(1800kg\).

And the multiplication of the ratio is \(1\)×\(2\)×\(3=6\)

Hence, the sand is in the ratio \(\frac{1}{6}\) of the mixture is

\(\frac{1}{6}\)×\(1800=300kg\)

The Gravel is in the ratio \(\frac{2}{6}\)×\(1800=600kg\)

And the cement is in ratio \(\frac{3}{6}\)×\(1800=900kg\)

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Answer:

30 inches

Step-by-step explanation:

Length of road A = 1¼ miles

Length of road A on map = 1½ inches

Unit rate for inches per miles on the map = 1½ inches ÷ 1¼ miles = ³/2 ÷ ⁵/4 = ³/2 × ⅘ = ⁶/5 inches per mile

Length big Road B on map:

Road B actual length = 10 miles

Thus, using the unit rate of ⁶/5 inches to 1 mile, length of road B on map would be calculated as shown below:

⁶/5 × 10 = 6*5 = 30 inches

Road B is 30 inches long on the map.

Answer:

7/8

Step-by-step explanation:

7/8*2/5<2/5

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer:

1. 1200

2. 1.5 servings

3. 1 serving= 200 calories.

Step-by-step explanation: 1600 divided by 8 is 200.

Answer:

The length of the line segment: 5.8 units

Step-by-step explanation:

To find the length of a line segment, you must us the formula:

D=\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

1. well, you must first identify your coordinates

Point A is (-2, -4) which is (\(x_1\), \(y_1\))

Point B is (1, 1) which is (\(x_2\), \(y_2\))

2. Now you put these coordinates into your equation

D=\(\sqrt{(1--2)^2+(1--4)^2}\)

Ofc, you gotta keep in mind of any double negatives

D=\(\sqrt{(1+2)^2+(1+4)^2}\)

3. simplify

D=\(\sqrt{(3)^2+(5)^2}\)

D=\(\sqrt{9+25}\)

D=\(\sqrt{34}\)

The square root of 34 is 5.83095189.... in decimal form

4. Round it to the nearest tenth

5.83 and since 3 is lower than five, it does nothing

5.8= The length of your line segment!

Range, Interquartile Range, Variance, and Standard Deviation are all examples of variability measures of SIMPLE STATISTICS.

Variability, dispersion, and spread are statistical terms that all refer to the distribution's width. Similar to how there are various core.

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s ≥ 160 is representing the train's cruising speed .

Since we are given the information that  The cruising speed of the bullet train will be more than 160 miles per hour,  which is related to inequality, so for the given problem the speed of the train needs to have speed equal to or higher than 160, considering s to be the  cruising speed of the train in the terms of miles per hour, so the way  we can represent is :

s ≥ 170 , where the symbol stands for greater and equal sign and  inequality.

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Step-by-step explanation:

Attached picture might help you out

The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).

Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.

On the other hand, the theoretical parts of a model typically include:

A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.

Hypotheses provide testable expectations about the relationships between variables in the model.

C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.

It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.

D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.

Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.

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Answer:

55%

Step-by-step explanation:

(33/60) * 100

leave a comment if u need further explanation

Answer:

4(7 + 16)

Every other answers does not equal 92

28+64=92

4(7+16)

7+16=23

23x4=92

The speed of the faster cyclist is 14\ miles/hr.

What is speed?

It is the average distance coverd in unit time. It is also defined as the rate of change of distance with respect to time.

Since the speed of the first cyclist is double than the second cyclist hence, the first cyclist will cover the double distance than the second cyclist. Consider the first cyclist covers 2s distance and first cyclist covers s distance. The sum of these two distances should be 42 miles. Hence,

\(2s+s=42\\3s=42\\s=14\)

Now, distance coverd by the first cyclist is \(2s=2\times 14\\=28 \ $miles\).

Now, both the cyclists meet after 2 hr hence, time taken by the first cyclist is 2 hr.

\(Speed=\frac{Total\ distance}{Total\ time}\\=28\ miles/2 \ hr\\=14\ miles/hr\)

Hence, the speed of the faster cyclist is 14\ miles/hr.

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Answer: 1.25/3 = 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hence, the solution for x is 5/4.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

Kate should deposit $46,158.28 monthly into an account

In this question, we have been given the amount A = $50,000,

interest rate R = 1.6%

period t = 5 years

We need to find the principal amount (P)

First, convert R as a percent to decimal

r = 1.6/100

r = 0.016

Using the formula of compound interest for P,

P = A / (1 + r/n)nt

P = 50,000.00 / (1 + 0.016/12)(12)(5)

P = $46,158.28

Therefore, Kate should deposit $46,158.28

Answer:

-(√2) + √3

Step-by-step explanation:

2√3 - (√2 + √3)

2√3 - √2 - √3

2-1√3 - √2

√3 - (√2)

or.

-(√2) + √3

the answer is not in the possible answers

Answer:

$1.5

Step-by-step explanation:

$7- 5.50= 1.5

Based on the distance that the yellow jacket flies in 9 seconds, the unit rate in meter per second is 0.5 m/s

The unit rate of the yellow jacket can be found by the formula:

= Distance travelled / Number of seconds

Solving gives:

= 4.5 / 9

= 0.5 meter per second

= 0.5 m/s

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Probability refers to the measure of the likelihood or chance of an event occurring, expressed as a value between 0 and 1, where 0 represents impossibility and 1 represents certainty.

To find the probability of getting a 3 on both rolls of a single die, we can multiply the probabilities of each event.

The probability of getting a 3 on the first roll is 1/6, since there is only one outcome out of six possible outcomes (numbers 1-6) that is a 3.

Similarly, the probability of getting a 3 on the second roll is also 1/6.

To find the probability of both events occurring, we multiply the probabilities together:

(1/6) * (1/6) = 1/36

Therefore, the probability of getting a 3 on the first roll and a 3 on the second roll is 1/36.

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Answer:

Step-by-step explanation:

3t-12<9

   +12  +12

3t<21

--   ---

3    3

t<7

Answer:

inequality form: t<1

interval Notation : ( -∞,1)

Step-by-step explanation:

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

Reducing the sample size from 2,500 to 1,500 people will likely increase the margin of error and decrease the precision of the estimate.

This means that the estimate of the proportion of people who purchase the product online may not be as accurate as it would have been with a larger sample size. Additionally, reducing the sample size may limit the generalizability of the results, as the sample may not be as representative of the larger population of people who purchase the product.

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

3.14159265359

Step-by-step explanation:

Answer:

P = -10

Step-by-step explanation:

P = 4 - 2r

P = 4 - 2 (-7)

P = 18

Answer:

P = 18

Step-by-step explanation:

p = 4 - 2r

p = 4 - 2(-7)

p = 4 + 14

p = 18

Therefore, your answer would be P = 18

Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

Answer:

10

Step-by-step explanation:

not sure please verify

H satisfies closure, identity, and inverses, it is a subgroup of G.

To prove that H={a^i * b^j : i,j∈Z} is a subgroup of G, we need to show that it satisfies the three conditions of being a subgroup: closure, identity, and inverses.

1. Closure: Take two elements h1 = a^i1 * b^j1 and h2 = a^i2 * b^j2 from H. We need to show that their product h1 * h2 is also in H.
h1 * h2 = (a^i1 * b^j1) * (a^i2 * b^j2)
       = a^(i1+i2) * b^(j1+j2)
Since i1+i2 and j1+j2 are integers, we can conclude that h1 * h2 is an element of H.

2. Identity: The identity element e of G is also in H because e = a^0 * b^0.

3. Inverses: For any element h = a^i * b^j in H, its inverse h^(-1) = a^(-i) * b^(-j) is also in H since -i and -j are integers.

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