use elimination to solve the simulta
neous equations: 2x+7y)=3,
2x-y=3

The temperature at midnight would be -4°C - 8°C since the temperature at noon was -4°C and at midnight it dropped 8°C.

The temperature at midnight would be -4°C minus 8°C, which can be expressed as:

-4°C - 8°C = -12°C

Therefore, the temperature at midnight would be -12°C.

Temperature is a measure of the degree of hotness or coldness of a body or an environment. It is a physical quantity that expresses the amount of thermal energy in a substance or a system, typically measured using a thermometer in units such as Celsius (°C) or Fahrenheit (°F). In general, the higher the temperature, the more thermal energy is present in the system, and the lower the temperature, the less thermal energy is present.

Learn more about Celcius here brainly.com/question/13258998

#SPJ4

The type of sampling that Huw is using is called Convenience Sampling.

Explanation:

Convenience sampling is a non-probability sampling technique where the sample is selected based on ease of access and availability. In Huw's case, he is administering the questionnaire to people who happen to be in the town centre, which is convenient for him. The sample is not selected randomly, and therefore does not accurately represent the population as a whole. Convenience sampling is often used in quick, informal surveys where the researcher does not have the resources or time to conduct a more rigorous, randomized sampling method.

Option A. TRUE. The theorem is important because it guarantees the existence of solutions to certain types of equations, and it is widely used in calculus, engineering, physics, and many other fields.

The Intermediate Value Theorem is a fundamental theorem in mathematics that states that, for any given continuous function on an interval, every value between the minimum and maximum values of the function on the interval must be taken by the function at some point within the interval. This theorem states that, given a function f defined on an interval [a, b], if f(a) and f(b) have different signs (i.e. one is positive and the other is negative), then there exists at least one c in the interval (a, b) such that f(c) = 0. The theorem is important because it guarantees the existence of solutions to certain types of equations, and it is widely used in calculus, engineering, physics, and many other fields.

To learn more about calculus please click on below link.

https://brainly.com/question/14618593

#SPJ4

Answer:

x=15°

∡Q= 75°

Step-by-step explanation:

supplementary angles means the sum of the angles =180°

so, 5x+105°=180°

5x=75°

x=15°

∡Q= 75°

Answer:

7

Step-by-step explanation:

By using a system of equations of two variables we concluded that the first number was 6

Let the numbers be x and y and their sum gives z

The equation for the sum of 2 numbers:

                                             x + y = z    -(1)

We know, z = 30 and y = 4 times x = 4x

Putting values of y and z in equation (1), we get

                                             x + 4x = 30

Solving for x, we get

                                                  5x = 30

                                         x = 30/5 = 6

To get the value of y, put the value of x in y = 4x and we get

                                          y = 4 x 6 = 24

So the real equation was

                                              6 + 24 = 30

To learn more about equations of two variables here:

brainly.com/question/29209545

#SPJ4

The expression used to calculate the sale price is given as follows:

S(p) = 0.65p.

The expression used to calculate the sale price is obtained applying the proportions in the context of the problem.

The price was 35% off, meaning that there was a discount of 35%, meaning that a percentage of 100 - 35 = 65% of the total price was paid, hence the expression used to calculate the sale price is given as follows:

S(p) = 0.65p.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Null hypothesis: Proportion of residents favoring annexation <= 72%. Alternative hypothesis: Proportion of residents favoring annexation > 72%

The null hypothesis is that the proportion of residents who favor annexation is equal to or less than 72%. The alternative hypothesis is that the proportion of residents who favor annexation is greater than 72%.

To determine if there is sufficient evidence to support the mayor's claim, a hypothesis test should be performed. A common approach is to use a one-sample proportion test. This test compares the proportion of residents who favor annexation in a sample to the hypothesized proportion of 0.72.

Assuming a significance level of 0.05, if the p-value is less than 0.05, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of residents who favor annexation is greater than 72%.

Learn more about null hypothesis here: brainly.com/question/28920252

#SPJ4

The value of the function f(a + 1) - f(a) is 2a - 2

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

In the given problem;

f(x) = x² - 3x

f(a + 1) - f(a) = ?

f(a + 1) = a² - a - 2

f(a) = a² - 3a

f(a + 1) - f(a) = a² - a - 2 -(a² - 3a)

f(a + 1) - f(a) = 2a - 2

Learn more on functions here;

https://brainly.com/question/1415456

#SPJ1

Answer:

The value of z is 58    

Step-by-step explanation:

The mean is the average of a set of numbers.  Mean = (sum of the numbers)/(the number of numbers).

We are told that the mean of x+y+z is = 55.  

We can wriote this as:

 55 = (x+y+z)/3

We learn that x+y = 107.  So lets enter that number for x + y:

 55 = (x+y+z)/3

55 = ((x+y)+z)/3    

55 = ((107)+z)/3           [Substitution]

55 = (107+z)/3

165 = 107+z               [Multiply both sides by 3]

z = 58                       [Simplify]

CHECK:

Is the mean of x, y, and z 55?

55 = (x+y+z)/3  ?

55 = ((107)+z)/3 ?   [Since we know x+y = 107]

55 = ((107)+58)/3 ?  [Since z=58]

55 = (165)/3)  ?

55 = 55  YES  The value of z is 58    

After unit conversion of 24 in./s into ft/min the value will be 120

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

A rate = 24 in./s

The value of rate in ft./min. = ?

It is known that,

1 feet = 12 inches

And 1 minute = 60 second

So,

1 inches = 1/12 feet

1 second  = 1/60 minute

⇒ 24 in./s

⇒  24 ((1/12)ft / (1/60)sec)

⇒ 24 × 60/12

⇒ 24 x 5

⇒ 120

To know more about Units check:

https://brainly.com/question/30168372

#SPJ1

Answer:  Choice D

Explanation:

The notation [tex]-\infty < \text{x} < \infty[/tex] says x is anything between negative infinity and positive infinity. Basically x is any real number. This is because the curve stretches forever to the left and right. Any number can be the x input.

Answer:

12.2 pints

Step-by-step explanation:

In all means add.  Add the two decimals together.

4.8 + 7.4

12.2 pints

If the ratio of cars to trucks on the lot is 11 to 33 and there are currently 51 trucks for sale, then there are 17 cars for sale

The ratio of cars to truck on the lot = 11 : 33

Total number of trucks for sale = 51 truck

Consider the number of cars for sale = x

Then the ratios will be

11/33 = x / 51

Cross multiply the terms in the equation

33x = 51 × 11

33x = 561

Move 33 to the right hand side of the equation

x = 561 / 33

Divide the terms

x = 17

Therefore, the number of cars does the dealer have for sale is 17

Learn more about ratio here

brainly.com/question/29774220

#SPJ4

Answer:

So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.

Step-by-step explanation:

For the inequality 15 < 3x to be true, 3x must be greater than 15. To determine whether each value will make the inequality true, we can substitute each value for x and see if the inequality holds.

For x = 5.6, 3x = 16.8, which is greater than 15, so the inequality is true and the value 5.6 makes the inequality true.

For x = 5, 3x = 15, which is equal to 15, so the inequality is false and the value 5 does not make the inequality true.

For x = 3, 3x = 9, which is less than 15, so the inequality is false and the value 3 does not make the inequality true.

For x = 6, 3x = 18, which is greater than 15, so the inequality is true and the value 6 makes the inequality true.

For x = 7, 3x = 21, which is greater than 15, so the inequality is true and the value 7 makes the inequality true.

For x = 3/4, 3x = 2.25, which is less than 15, so the inequality is false and the value 3/4 does not make the inequality true.

For x = 4.5, 3x = 13.5, which is less than 15, so the inequality is false and the value 4.5 does not make the inequality true.

So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.

Answer:

It would be 3.765 pounds. You have to do 7.53 x 10 to the -10= 0.000000000753. Then do 0.000000000753 x 5 billion to get 3.765.

Step-by-step explanation:

Answer:

A van can carry 18 students; a bus can carry 41 students.

Step-by-step explanation:

Let v = capacity of van.

Let b = capacity of bus.

School A:

3v + 12b = 546

School B:

13v + 6b = 480

Our system of equation is:

3v + 12b = 546

13v + 6b = 480

      3v + 12b = 546

+  -26v - 12b = -960

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

    -23v         = -414

v = 18

3v + 12b = 546

3(18) + 12b = 546

54 + 12b = 546

12b = 492

b = 41

Answer: A van can carry 18 students; a bus can carry 41 students.

The number of many different outfits Sophia has to choose from should be 16.

What is arithmetic?

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Here, we have

Given: Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.

She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.

So here the number of distinct outfits should be like

= 2 × 4 × 2

= 16

Hence, the number of many different outfits Sophia has to choose from should be 16.

To learn more about the arithmetic from the given link

https://brainly.com/question/25976025

#SPJ1

Answer:16

Step-by-step explanation:Total outcomes

=

Total outcomes=

2‾

pants

×

2‾

t-shirts

×

4‾

shoes

pants

2

​

​

×

t-shirts

2

​

​

×

shoes

4

​

​

Fundamental counting principle

=

=

16

The number of seconds does the firework hit the ground is 3 seconds

From the information given, we have the quadratic function;

y = -16x² + 32x + 48

To determine the value of x , let's reduce the expression, we get;

-2x² + 4x + 6

Now, let's factorize the terms

Multiply the coefficient by the constant and find the pair factors

-2x² + 6x - 2x + 6

Factorize in pairs, we get;

-2x(x -3) - 2(x -3)

Then, we have the expressions

-2x - 2 = 0

solve for x

x = -1

x - 3 = 0

x = 3

Hence, the value is 3 seconds

Learn out functions at: https://brainly.com/question/25638609

#SPJ1

Answer:

3

Step-by-step explanation:

i took the test

The intercepts of the line are x intercept: (4.3,0) y-intercept: (0,-13)​

From the question, we have the following parameters that can be used in our computation:

y+1=3(x − 4)

To calculate the x-intercept, we set y to 0

So, we have the following representation

0+1=3(x − 4)

This gives

x - 4 = 1/3

So, we have

x = 4.33

To calculate the y-intercept, we set x to 0

So, we have the following representation

y + 1 = 3(0 − 4)

This gives

y + 1 = -12

So, we have

y = -13

Read more about linear function at

https://brainly.com/question/15602982

#SPJ1

about 45 of every 300 apples picked at the Newbury apple orchard are rotten, if 3560 apples were picked one week, about 534 many apples were rotten. We drew this answer with the help of algebra,

45/300 = x/3560

x = 3560*(45/300) = 534

At the same rate, about 534 rotten apples can be expected in the week's pickings.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.

To know more about algebra, visit: brainly.com/question/24875240

#SPJ4

Answer:

Step-by-step explanation:

To build a sequence, you have to create a rule. For example, if the rule is +2, then you add 2 to 10 to get 12, and then you add 2 to 12 to get 14, and so on. Your sequence would then be 10, 12, 14, 16, 18.

The equation shows how to find the length of each piece is L = R / N and the length of each piece is 1.5 feet.

To find the length of each piece, we can use the following equation:

Length of each piece = Total length of the ribbon / Number of pieces

In mathematical terms, we can represent this equation as:

L = R / N

Where,

L is the length of each piece

R is the total length of the ribbon (66 feet in this case)

N is the number of pieces (44 in this case)

In this problem, we are given a 66-foot ribbon and we are asked to cut it into 44 equal pieces. We need to find out the length of each piece.

Using this equation, we can easily find the length of each piece:

L = 66 / 44

L = 1.5 feet

Therefore, each piece of the ribbon is 1.5 feet long.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

Answer: 28 (look at the image for the solution)

Step-by-step explanation:

Answer:

A = base x height

A = 7 x 4

A = 28

Have a wonderful day! :-)

The side which corresponds to QS is VU, and the scale factor is 2.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given that, the figure on the right is a scaled copy of the figure on the left.

We need to find the corresponding side of QS and scale factor,

The figure is 90° counterclockwise rotated,

Therefore,

The corresponding sides are:

PR ~ TW

RQ ~ VT

QS ~ UV
PS ~ WU

∵ the measure of QS = 4 units and the measure of UV = 2 units

∴ scale factor = 4/2 = 2

Hence, the side which corresponds to QS is VU, and the scale factor is 2.

Learn more about scale factor, click;

https://brainly.com/question/29262154

#SPJ1

The question do not contain figure, the similar question is solved.

Answer:

Point (-3, 3) is not a solution to the system of equations

2y+x=3

y=x+0

Step-by-step explanation:

2y + x = 3

y = x + 0

2(3) + (-3) = 3

6 - 3 = 3

3 = 3

The point works in the first equation.

3 = -3 + 0

3 = -3

The point does not work in the second equation.