3(x – 2) – 2x + 3 = -12

Answer:

It will take him 11 hours to mow 12 lawns

Step-by-step explanation:

110/2=55   (meaning it takes him 55 minutes to mow 1 lawn)

55x12=660    (meaning it takes him 660 minutes to mow 12 lawns)

660/60=11   (meaning it takes him 11 hours to mow 12 lawns)

Why 660/60? Because there is 60 minutes in 1 hour.

Answer:

4

Step-by-step explanation:

Mark me brainleist please!

Answer:13

Step-by-step explanation:

Answer:

13 cm

Step-by-step explanation:

If angle MAT is congruent to XYZ, then AT and YZ would have the same measure, 13 cm

The time taken by the Gonzalez family's sprinkler was 25 hours and the time taken by the Patterson family's sprinkler was (60-25) = 35 hours.

A mathematical statement known as an equation shows the equality of two mathematical expressions.

Mathematical algebraic equations typically have one or more variables.

Given the water output rate for the following families sprinkler:

Patterson family's sprinkler = 25 l/h

Gonzalez family's sprinkler = 15 l/h

Let the time used by the Patterson family's sprinkler be x.

Let the time used by the Gonzalez family's sprinkler be y.

Total time used by both sprinklers = 60 hours

So, the equation can be formed as follows.

x + y = 60

x = 60 - y

Also, total water output = 1250 l

⇒25x + 15y = 1250

⇒25(60 - y) +15y = 1250

⇒1500 - 25y +15y = 1250

⇒1500 - 1250 = 25y -15y

⇒250 = 10y

⇒25 = y

Therefore, the time taken by the Gonzalez family's sprinkler was 25 hours.

Time taken by the Patterson family's sprinkler was (60-25) = 35 hours.

To learn more about mathematical equations, visit:

https://brainly.com/question/28729225

#SPJ4

Answer:

yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50

Answer:

g(x) = \(\frac{x+3}{x-3}\)

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = \(\frac{2x}{(x-3)}\)

g(x) = \(\frac{2x}{(x-3)}-1\)

      = \(\frac{2x-(x-3)}{(x-3)}\)

      = \(\frac{(x+3)}{(x-3)}\)

Therefore, g(x) = \(\frac{x+3}{x-3}\) will be the answer.

6b - 0.78b it will result after expanding the expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

Let, b represent the original price of a loaf of bread.

Given that,

A grocery store has 13%-off sale on all bread.

This means that the amount by which the price of bread was reduced would be

13/100 × b = 0.13 × b = 0.13b

The new price for the loaf of bread would be: b - 0.13b

you decide to purchase 6 loaves of bread. The expression would be:

6(b - 0.13b)

Expanding the expression, it becomes: 6b - 0.78b

To know more about expressions refer to:

brainly.com/question/1859113

#SPJ4

Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

Answer: If it is pythagorean theorem than it is 10

Step-by-step explanation:

8^2+6^2=100

Squareroot of 100 is 10

The area of the square is 25ft² and the perimeter is 20ft.

It's important to note that the area of a square is calculated as:

= Side ²

The perimeter is calculated as:

= 4 × Side

From the information given, the side is 5ft. The area will be:.

= 5 × 5

= 25ft²

The perimeter will be:

= 4 × Sode

= 4 × 5ft.

= 20 feet

Learn more about area on:

brainly.com/question/25292087

#SPJ1

Rewrite the statements in if-then form: If I catch the 8:05 bus, then I will be on time for work.

To write this statement in if-then form, we start with the "if" part of the statement, which is the condition that needs to be satisfied for the conclusion to follow. In this case, the condition is "catching the 8:05 bus". The "then" part of the statement is the conclusion that follows if the condition is satisfied, which is "being on time for work".

Therefore, the statement "Catching the 8:05 bus is a sufficient condition for my being on time for work" can be written as "If I catch the 8:05 bus, then I will be on time for work" in if-then form. This form of expressing the statement makes it clear what the condition and conclusion are and how they are related to each other.

To know more about statements, refer here:

https://brainly.com/question/15823409#

#SPJ11

Answer: We can use the formula for the area of a triangle:

Area = (1/2) * base * height

where the base is the length of the side of the triangle that is perpendicular to the height. We can rearrange this formula to solve for the base:

base = (2 * Area) / height

Plugging in the values given in the problem, we get:

base = (2 * 120 square yards) / 12 yards

base = 20 yards

Therefore, the length of the base of the triangle is 20 yards.

Step-by-step explanation:

Let's assume that the pieces am and N have heights of h_am and h_N respectively, and let k be the number of times the height of piece N fits into the height of piece am (i.e., k is the ratio of the height of piece am to the height of piece N).

We know that the volume of each stack is equal. Let's use the following variables:
- h for the height of each piece of A
- k for the height of each piece of N
- 10 for the number of pieces in stack A
- 8 for the number of pieces in stack N

The equation for the volume of each stack is:
Volume of stack A = h x 10
Volume of stack N = k x 8

Since we know the volumes are equal, we can set the two equations equal to each other:
h x 10 = k x 8

To create an equation relating h and k, we can solve for one variable in terms of the other:
h = (8/10)k
or
k = (10/8)h

Either equation shows how h and k are related to each other. For example, if we know the value of h, we can use the first equation to find k.

Learn more about equation at https://brainly.com/question/26170143

#SPJ11

Answer:

0.969

Step-by-step explanation:

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (18 - 31) / 7

= -1.857

area in z-score table (this is area to left of <18) is 0.0314.

P(>18) = 1 - 0.0314 = 0.969

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

B

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

Answer:

This is a type of statistical inference known as a measure of center

Answer:

3/5 of his estate is not accounted for.

Step-by-step explanation:

You can figure out by adding the two fractions together:

1/2 + 1/3 = 2/5.

That means there is still 3/5 of the estate remaining.

Brainliest please! I am so close to getting my next rating! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The correct description that defines the prism square is option B: "Is another hand instrument that is also used to determine or set out right angles."

A prism square is a tool used in construction and woodworking to establish or verify right angles. It consists of a triangular-shaped body with a 90-degree angle and two perpendicular sides. The edges of the prism square are straight and typically have measurement markings. It is commonly used in carpentry, masonry, and other trades where precise right angles are essential for accurate and square construction. Option A describes a different tool involving mirrors set at an angle, which is not related to the prism square. Option C refers to a different instrument used for measuring slopes and is not directly related to the prism square.

Learn more about prism square here:

https://brainly.com/question/24324269

#SPJ11

Answer:

Square

4,4,4

Step-by-step explanation:

So the chance that a typical person will die in a motor vehicle accident this year is very low, at 0.0147%.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain. Probability theory is used to model and analyze a wide range of phenomena, including games of chance, weather patterns, financial markets, and many others. The concepts and methods of probability are also widely used in statistics, data analysis, and machine learning to make predictions and draw inferences from data.

Here,

To calculate the chance that a typical person will die in a motor vehicle accident this year, we can use the formula:

chance of dying in a motor vehicle accident = number of motor vehicle deaths / population

Plugging in the numbers given in the problem, we get:

chance of dying in a motor vehicle accident = 48000 / 327000000

Simplifying and converting to a percentage, we get:

chance of dying in a motor vehicle accident = 0.0001468 or 0.0147%

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

The test's measures are as follows:

A. Sensitivity: 95%

B. Specificity: 85%

C. Positive Predictive Value: 55%

D. Negative Predictive Value: 99%

E. Accuracy: 89%

F. Prevalence Rate: 16%

Given the following information:

TP = 152 (correctly identified cases of thyroid cancer)

FN = 160 - TP = 8 (cases of thyroid cancer missed by the test)

TN = 714 (correctly identified individuals without thyroid cancer)

FP = 840 - TN = 126 (individuals without thyroid cancer incorrectly identified as having thyroid cancer)

We can now calculate the various measures:

A. Sensitivity:

Sensitivity = TP / (TP + FN) = 152 / (152 + 8) = 0.95 or 95%

B. Specificity:

Specificity = TN / (TN + FP) = 714 / (714 + 126) = 0.85 or 85%

C. Positive Predictive Value (PPV):

PPV = TP / (TP + FP) = 152 / (152 + 126) = 0.55 or 55%

D. Negative Predictive Value (NPV):

NPV = TN / (TN + FN) = 714 / (714 + 8) = 0.99 or 99%

E. Accuracy:

Accuracy = (TP + TN) / (TP + TN + FP + FN) = (152 + 714) / (152 + 714 + 126 + 8) = 0.89 or 89%

F. Prevalence Rate:

Prevalence Rate = (TP + FN) / (TP + TN + FP + FN) = (152 + 8) / (152 + 714 + 126 + 8) = 0.16 or 16%

Therefore, based on the given information, the test's measures are as follows:

A. Sensitivity: 95%

B. Specificity: 85%

C. Positive Predictive Value: 55%

D. Negative Predictive Value: 99%

E. Accuracy: 89%

F. Prevalence Rate: 16%

Read more on Predictive Value here https://brainly.com/question/31262254

#SPJ4

Answer: wavelength or frequency

Step-by-step explanation:

The reflectance curve is a plot of the light reflected off a surface as a function of wavelength or frequency. It shows how much light is reflected at each specific wavelength or frequency and can be used to analyze the optical properties of a material.

Answer:

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

                  X clothes  = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960  total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

 5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y   = 960 - 40  = 920 clothes

Hello !

c = the cost

n boxes = 66,12n

c = 66,12n

Answer:

49% of the pupils are boys and 51% are girls.

Step-by-step explanation:

Alright, so first, you've got to find the total number of students: 567.

Now, to find the value of 1%, you divide 567 by 100, which will give you 5.67.

Next, you divide the number of male students by the value of 1%. That's 278 ÷ 5.67 = 49.0299823633157.

Subtracting that from 100% gives you 50.9700176366843 (percentage of girls)

Now, you can't write all that down, so you'll round it! 49.0299823633157 will round down, because 0 is less than 5, so it's 49%. 50.9700176366843 rounds up, because 9 is greater than 5, so that's 51%.

Therefore, 49% of the pupils are boys and 51% are girls.

I hope this helps!

The equation in standard form with integer coefficients is -5x + 10y = -6.

A coefficient is a numerical or constant multiplier of a variable, term or expression.

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive. To convert the given equation y = (1/2)x - (3/5) into standard form, we can multiply both sides by the common denominator of 2 and 5, which is 10. This gives:

10y = 5x - 6

Rearranging the terms, we get:

5x - 10y = 6

Multiplying both sides by -1 to get the coefficient of x positive, we get:

-5x + 10y = -6

Therefore, the equation in standard form with integer coefficients is -5x + 10y = -6.

To know more about coefficient visit:

https://brainly.com/question/30066987

#SPJ1

Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?

2 bottles

5 bottles

20 bottles

25 bottle

the is c 20 bottles          

Answer:

20m/s

Step-by-step explanation:

\(Speed=Distance\div Time\)

\(Speed=100m \div 5s\)

\(Speed = 20m/s\)