What is the midpoint between (-3,-2) and (4-7)

Answers

Answer 1

The midpoint between the given figures are -2.5 and 5.5 respectively.

What is a midpoint ?

A midpoint is defined as that particular point that divides two separate figures into two equal halves or the centre of two endpoints on a number line.

That is;

point a + point b/2

The figures given are :

Point a = -3

Point b = -2

= -3 + -2/ 2

= -5/2

= -2.5

For points 4 and 7 ;

= 4 + 7 / 2

= 11/2

= 5.5

Therefore, the middle or midpoint of -3 and -2 is -2.5 and the midpoint for 4 and 7 is 5.5.

Learn more about midpoint here :

https://brainly.com/question/28367319

#SPJ1

Related Questions

Greg purchased furniture for his home. He purchased a chair for $320 and a lamp for $55. The store charges 7% sales tax. How much did Greg pay in tax?

Answers

Given:

Price of chair = $320

Price of lamp = $55

Total cost of furniture Greg purchased is = $320 + $55 = $375

Since the store charges a 7% sales tax, it means the amount Greg paid in tax is

7% of Total cost of furniture purchased.

Thus, the amount Greg paid in tax is:

[tex]\frac{7}{100}\times375=\text{ 0.07}\times375=26.25[/tex]

The amount Greg paid in tax

PLEASE HELP! This is due tomorrow!
Determine whether the equation represents a linear or nonlinear function. Explain.
I just need help with these, I have a busy day today :(

Answers

The categories of the functions are:

Linear functions: (16) y = 7 - x (17) y = ∛8 - x (19) 2 + y = x + 4 (21) x -y = |-54|Nonlinear functions: (15) y = x² + 13 (18) y = x . x . x (20) 7 - y = 2ˣ (22) |x| + 12 = y

How to categorize the functions?

The category of the functions are given as

Linear functionsNonlinear functions

As a general rule, linear functions can take any of the following forms

y = a x = by = xy = mxy = mx + cy - y1 = m(x - x1)Ax + Bx = C

Where the variables a, A, m, b, B, c and C are real numbers

Any equation that do not have the above form is considered a nonlinear function

Using the above forms as a guide, we have the linear equations to be

(16) y = 7 - x (17) y = ∛8 - x (19) 2 + y = x + 4 (21) x -y = |-54|

All other equations are nonlinear equations

Read more about nonlinear equations at

https://brainly.com/question/2030026

#SPJ1

Apply the laws of exponents to evaluate the expression.
(0.5) (0.5) 4
(0.5)²

Answers

After evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

What are exponents?Exponentiation is a mathematical operation that involves the base b and the exponent or power n. It is written as bn and is pronounced as "b to the n." There are four different types of exponents: positive, negative, zero, and rational/fractional. By interpreting the exponent as the total number of times the base number must be multiplied by the same base, one can determine the value of the number. Exponents laws: Keep the base constant when multiplying like bases and add the exponents. Keep the base constant and multiply the exponents when raising a base with power to another power. When dividing with like bases, keep the base constant and deduct the exponents of the numerator and denominator.

So, evaluate "(0.5)∧(0.5)∧4 + (0.5)²" using laws of exponents:

Then,

(0.5)∧(0.5)∧4 + (0.5)

By law: Power of power rule

(0.5)∧(0.5)×4 + (0.5)(0.5)²+ (0.5)²2(0.5)²

Therefore, after evaluation using the exponential laws, the expression "(0.5)∧(0.5)∧4 + (0.5)²" is evaluated as 2(0.5)².

Know more about exponents here:
https://brainly.com/question/11975096

#SPJ13

The correct question is given below:
Apply the laws of exponents to evaluate the expression.

(0.5)∧(0.5)∧4 + (0.5)²

suppose that you need to build as many chairs as possible. each chair requires one seat, one back, and four legs. if you have 12 seats, 15 backs, and 44 legs, which of the chair components limits the number of chairs you can make? legs seats backs how many chairs can you make with the 12 seats, 15 backs, and 44 legs? what chair components will be leftover after making as many chairs as possible? seats and backs legs and backs seats and legs

Answers

The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

What is meant by probability?

The study of probabilities, which are determined by the ratio of favorable occurrences to probable cases, is known as probability.

The maximum number of chairs that can be made will be the minimum of the number of parts divided by the number of parts required for each chair, as calculated across the various types of parts required.

seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible

backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible

legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible

The maximum number of chairs that can be made will be the minimum of 12, 15, and 11. That exists, 11 chairs can be made, limited by the number of available legs.

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ4

3. Given the perimeter of the figure is 76 ft, Find
the dimensions of the shape.
(4x-5) ft
(25-x) ft
(13 + x) ft
T
(3x + 1) ft

Answers

The most appropriate choice for perimeter of a shape will be given by-

UT = 19 ft

ST = 19 ft

RS = 19 ft

UR = 19 ft

What is perimeter of a shape?

Perimeter of a shape is the length of the boundary of the shape.

It is obtained by taking the sum of all the length of the boundary.

Here,

UT = (25 - x) ft

ST = (3x + 1) ft

RS = (13 + x) ft

UR = (4x - 5) ft

Perimeter = UT + ST + RS + UR

= (25 - x + 3x + 1 + 13 + x +4x -5) ft

= (7x + 34) ft

By the problem,

[tex]7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6[/tex]

UT = [tex]25 - 6[/tex] = [tex]19[/tex] ft

ST = [tex]3 \times 6 + 1[/tex] = [tex]19[/tex] ft

RS = [tex]13 + 6 = 19[/tex] ft

UR = [tex]4\times 6 - 5[/tex] = 19 ft

To learn more about perimeter of a shape, refer to the link-

https://brainly.com/question/19819849

#SPJ13

How tall is a building that casts a 71-ft shadow when the angle of elevation of the sun is 29 degrees.Round to the nearest foot

Answers

Solution

We will draw a diagram to illustrate the information

Using the concept of SOHCAHTOA

We are given adjacent and we want to find opposite

[tex]\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan29=\frac{H}{71} \\ cross\text{ multiply} \\ H=71tan29 \\ H=39.35594265 \\ H=39ft \end{gathered}[/tex]

Therefore, the answer is

[tex]undefined[/tex]

How do I find the slope and Y-intercept of the line x+2y=-2

Answers

Answer:

slope = -1/2

y-intercept = (0, -1)

Explanation:

Given:

[tex]x\text{ + 2y = - 2}[/tex]

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

[tex]\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}[/tex]

We need to rewrite the given equation in the form above so as to get the slope

[tex]\begin{gathered} x\text{ + 2y = -2} \\ 2y\text{ = -x - 2} \\ y\text{ = -}\frac{x}{2}\text{ - }\frac{2}{2} \\ y\text{ = }\frac{-x}{2}-1 \end{gathered}[/tex]

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

[tex]\begin{gathered} y\text{ = }\frac{-0}{2}\text{ - 1} \\ y\text{ = 0 - 1} \\ y\text{ = -1} \\ \\ The\text{ y-intercept in ordered pair \lparen x, y\rparen:} \\ when\text{ x = 0, y = -1} \\ y-\text{ intercept = \lparen0, -1\rparen} \end{gathered}[/tex]

what is 3b= 39 can you pleasee help me

Answers

Answer: b=13

Step-by-step explanation:

b=39/3

b=13

Answer: its 13

Step-by-step explanation

Estelle is having her birthday party at Gold Frames Art Museum this year. A party package
costs $265 and covers the entrance fee for guests, a private party room, and an activity
guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the
total to $305.
Which equation can you use to find f, the cost of each favor?
265(f+ 8) = 305
265f + 8 = 305
How much did each favor cost?
Submit
8f +265 305
8(f+265): = 305

Answers

By using proportions, it is discovered that each favor costs $5.

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

A proportion is an equation that sets two ratios at the same value.

How much does one favor cost?

Using the rule of three and proportions, this problem can be resolved.

The party's price is increased by $40 with the addition of 8 favors.

The threes rule states:

$40 for 8 favors

$1 for 1 favor

Cross-multiplication application

8x=40

x= 40/8

x = 5

There is a $5 fee for each favor.

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4).

To learn more about proportion refer to:

https://brainly.com/question/25190657

#SPJ1

3. Jackson's soccer coach filled the teams' water container with 40 quarts of
water. Since 32 ounces equal 1 quart, how many times can a soccer player fill a
16-ounce water bottle before using all the water?

Answers

A soccer player could only fill a 16 ounce water bottle 80 times to use all 40 quarts of water.

40 times 32 = 1280

40 quarts = 1280 ounces of water

1280 ounces of water divided by 16 ounce water bottle = 80 refills

Line a is represented by the equation y=−7x+1.

How do these equations compare to line a?

Drag and drop the equations into the boxes to correctly complete the table.

Parallel to line a Perpendicular to line a Neither parallel nor perpendicular to line a

y = 7x - 5 y- = 7x + 3 y = 1/4x + 4

Answers

Answer:

Step-by-step explanation:

how is [tex] {1}^{4} [/tex]differ from [tex] { {0.1}^{4} }^{} [/tex]

Answers

[tex]\text{Because 1}^4=1and0.1^4=0.0001[/tex]

1) According to the exponent's law, any exponent whose base is 1, that yields 1. For example

[tex]\begin{gathered} 1^4=1 \\ 1^3=1 \\ 1^{^{\pi}}=1\text{ } \\ \text{etc.} \end{gathered}[/tex]

2) The same does not happen to 0.1

[tex]0.1=\frac{1}{10}^4=\frac{1}{10000}=0.0001[/tex]

Since 0.1 is a fraction, we'll raise to the 4th power 1 and 10 simultaneously, as a ratio.

3) So the answer is

[tex]\text{Because 1}^4=1and0.1^4=0.0001[/tex]

In ∆ STU, the measure of < U=90°, UT=12, SU=35, and TS=37. What ratio reprecents the secant of < T?

Answers

By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").

You can identify that the triangle STU is a Right triangle, because:

[tex]\angle U=90\degree[/tex]

The following is one of the Trigonometric ratios. It's called "Secant":

[tex]\sec \alpha=\frac{hypotenuse}{adjacent}[/tex]

In this case you can identify that:

[tex]\begin{gathered} \alpha=\angle T \\ hypotenuse=TS=37 \\ adjacent=UT=12 \end{gathered}[/tex]

Then, substituting values, you get that the answer is:

[tex]\sec \angle T=\frac{37}{12}[/tex]

Rewrite the expression using only positive integer exponents. (m2/3n-1/3)^5

Answers

When the expression (m²/³ n⁻¹/³)⁵ is rewritten, the equivalent expression is ∛m¹⁰n⁻⁵

How to rewrite the expression?

From the question, the expression is given as

(m2/3n-1/3)^5

Rewrite the expression properly

So, we have the following representation

(m²/³ n⁻¹/³)⁵

Express the radicals as roots

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m² ∛n⁻¹)⁵

Remove the brackets in the expression

This is done by multiplying the exponents

So, we have

(m²/³ n⁻¹/³)⁵ = (∛m¹⁰ ∛n⁻⁵)

Combine the roots

(m²/³ n⁻¹/³)⁵ = ∛m¹⁰n⁻⁵

Hence, the equivalent expression is ∛m¹⁰n⁻⁵

Answers

The figures after each reflection are given at the end of the answer.

Reflection over the x-axis

The rule for the reflection over the x-axis is:

(x,y) -> (x, -y)

Hence the signal of the y-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(0,-2), B'(1,3) and C(2,-4)

Reflection over the y-axis

The rule for the reflection over the x-axis is:

(x,y) -> (-x, y)

Hence the signal of the x-coordinate is changed.

Then the coordinates of the image of triangle ABC are given as follows:

A'(2,-4), B'(-6,2) and C'(-3,-5)

Reflection over y = -2

The rule for the reflection over the line y = -2 is:

(x,y) -> (x, y +/- constant)

The constants for each point are given as follows:

A': -3, hence point (4,-3), as -1 is one unit above y = -2, hence the reflected coordinate will be one unit below.B': -12, hence point (3,-12), as 8 is 10 units above y = -2, hence the reflected coordinate will be ten units below.C': -5, hence point (-1, -5), as 1 is 3 units above y = -2, hence the reflected coordinate will be three units below at y = -5.

More can be learned about reflections at https://brainly.com/question/27224272

#SPJ1

Please explain how you get the answer

Answers

The measure of the angle is calculated using the attached figure.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction. Angle can also refer to the measurement of an angle or of a rotation. This measurement is the length of a circular arc divided by its radius. The arc is centered at the vertex in the case of a geometric angle.

From figure,

angle x = 180° - 110° = 70° (linear pair)

angle y = 37° (alternate interior angles)

Measure of angle 1 = 70° + 37° (exterior angle in a triangle is equal to the sum of opposite interior angles)

To know more about an angle, click on then link

https://brainly.com/question/16220339

#SPJ9

Graph the following. y=3-4x

Answers

Here Ya Go! :D

Hope this helps! If so, please lmk. Thanks and good luck!

The line parallel to y=3x+5 that passes through the point (-8,-4)

Answers

Answer:

y = 3x + 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 8, - 4 ) into the partial equation

- 4 = - 24 + c ⇒ c = - 4 + 24 = 20

y = 3x + 20 ← equation of parallel line

Answer:

Step-by-step explanation: From the given point,

The line is: -8x-4y=0

viz, 2x+y=0

Mrs. Harris has 5 blue, 8 red, 3 green, and 7 yellow candies in a bag. If Mrs. Harrisrandomly selects a candy, what is the probability she will select a yellow or blue candy?

Answers

Blue = 5

Red = 8

Green= 3

Yellow= 7

Total candles = 5+8+3+7 = 23

Yellow and blue candles = 7+5 = 12

To find the probability divide the number of blue and yellow candles (12) by the total number of candles.

12/23 = 0.52

pls help me super confused on inequality

Answers

40.50d - 400(0.12) ≤ 210

Solving ⬇️

40.50×d - 48 ≤ 210

40.50×d ≤ 210 + 48

40.50×d ≤ 258

d ≤ 258÷ 40.50

d ≤ 6.37

I need this answered please

Answers

Answer:

76 child tickets were sold

Step-by-step explanation:

let a represent number of adults and c number of child tickets sold, then

a + c = 165 → (1)

5.8a + 8.9c = 1192.6 → (2)

multiplying (1) by - 5.8 and adding to (2) will eliminate a

- 5.8a - 5.8c = - 957 → (3)

add (2) and (3) term by term to eliminate a

0 + 3.1c = 235.6

3.1c = 235.6 ( divide both sides by 3.1 )

c = 76

that is 76 child tickets were sold that day

a raised rectangular garden is two feet more than three times as long as it is wide. the depth of the pool is half the width. if the length is 11 feet, what is the volume?

Answers

Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

Last year the debate club had 25 members. This year there are 37 members in the club. Estimate the percent change in the number of club members.

Answers

Answer:

There was a 48% increase from last year.

Step-by-step explanation:

Last year the debate club had 25 members. This year there are 37 members in the club. Estimate the percent change in the number of club members.

= (37 - 25) / 25

= -12 / 25

= 0.48 or 48%

There was a 48% increase from last year.

check:

25 * 1.48 = 37

A rental car company charges $76.50 per day to rent a car and $0.06 for every mile driven. Hunter wants to rent a car, knowing that:
He plans to drive 400 miles.
He has at most $330 to spend.

Use the drop-down menu below to write an inequality representing d, the total number of days Hunter can rent the car while staying within his budget.

Answers

The inequality representing d, the total number of days is 76.5d + 24 ≤ 330

How to determine the inequality that represents the scenario?

From the question, the given parameters are:

Charges per day = $76.50

Charges per mile = $0.06

This means that the equation that represents the total charges for d days is

Total = Charges per day x Number of days + Charges per mile x Number of miles

So, we have

Total = 76.5 x d + 0.06 x m

Where m represents the number of miles

From the question, we have

He plans to drive 400 miles.He has at most $330 to spend.

This means that

m = 400 and Total ≤ 330

So, we have

76.5 x d + 0.06 x 400 ≤ 330

Solve

76.5 x d + 24 ≤ 330

This gives

76.5d + 24 ≤ 330

Hence, the inequality that represents the scenario is 76.5d + 24 ≤ 330

Answers

Answer:

No questions are shown. See attached graph for more details.

Step-by-step explanation:

See attachment

Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.

Answers

Answer:

tbh times them all by 15 and u should get the answers

HELP ME PLEASE ASAP!!!

2. Use the space provide to respond to each statement concerning the given graph of a radical function.
a.) State the domain of the function.
b.) State the range of the function.
c.) Identify the end behavior of the function.
d.) Identify the y – intercept. Write as an ordered pair.
e.) Explain how you know this function is increasing?

Answers

Part a

The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].

Part b

The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].

Part c

As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].

Part d

The y-intercept is when x=0, which is [tex](0, 1)[/tex].

Part e

The function is increasing when y increases as x increases, which is true for this function.

At a high school, the cafeteria staff provides optional comment cards to students eating in the cafeteria. Students who wish to make a comment can obtain and fill out a comment card and return it to a drop box in the front office. At the end of the semester, the staff analyzes the responses and finds that 72% of the students who filled out a comment card recommend major changes to the food selection. What conclusions can the cafeteria staff draw from these responses?.

Answers

Based on the described sampling approach, it should be concluded that the responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. (Option D).

Voluntary response sample refers to a response sample in which the researcher puts out a request for population members to join the sample, and the decision of whether or not to be in the sample resides with the people. As it is a sample comprising of voluntarily participants, people who chose to participate usually do so as they have a strong opinion on the subject of the survey. Typically, voluntary response samples oversample members with strong opinions and under sample members with little to no opinion on the subject of the survey. Hence, inferences from a voluntary response sample are not as reliable as conclusions based on a random sample of the entire population under consideration.

Note: Question is incomplete. The options were missing which are a. Since all of the students had an opportunity to respond, this is evidence that a majority of all the students supports major changes. b. The cafeteria staff should not use the results to draw any conclusions since some students may not have filled out a comment card, which is nonresponse. c. If the students recorded their grade level with their response, the staff could make the original sample a stratified sample and use the responses to learn what proportion of each grade recommends major changes to food selection. d. The responses were from a voluntary response sample, so the cafeteria staff should not use the results to draw any conclusions. e. The opportunity to fill out comment cards should be offered to students at all high schools in the school district to get a larger sample size, which will make the results more reliable

Learn more about Voluntary response sample:

https://brainly.com/question/13298621

#SPJ4

7/5 convert improper fractions

Answers

Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator

Mixed Fraction - A fraction with a whole number, or a quotient with its remainder

In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.

So, 7/5 = 7 ÷ 5 = 1 2/5

The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.

the difference of t and five multiplied by six is four

Answers

The expression of the mathematical statement given as the difference of t and five multiplied by six is four is 6(t - 5) = 4

How to express the mathematical statement as an expression?

From the question, the mathematical statement is given as

the difference of t and five multiplied by six is four

The difference of numbers means that we subtract the numbers

i.e. difference means subtraction

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) multiplied by six is four

The multiplication of numbers means that we take the product of the numbers

i.e. multiply means product

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) x six is four

Lastly, we have

(t - five) x six = four

Express as numbers

(t - 5) x 6 = 4

This becomes

6(t - 5) = 4

Hence, the expression represented by the statement is 6(t - 5) = 4