A number sentence is said to be true if both numerical expressions are

Answers

Answer 1

if both expressions are equivalent (that is when both evaluate to the same number)

Related Questions

What is the name of this angle?

A.
acute

B.
right

C.
obtuse

D.
straight

Answers

An acute angle, because it is less than a right angle (90 degrees) and more than 0 degrees.

An obtuse angle is more than 90 degrees and less than 180 degrees, a right angle is strictly 90 degrees and a straight angle is 180 degrees.

2c/11= c-3/4 what is the solution

Answers

2c/11=(c-3)/4

We simplify the equation to the form, which is simple to understand
2c/11=(c-3)/4

Simplifying:
+ 0.181818181818c=(c-3)/4

Reorder the terms in parentheses
+ 0.181818181818c=( + 0.25c-0.75)

Remove unnecessary parentheses
+ 0.181818181818c=0.25c-0.75

We move all terms containing c to the left and all other terms to the right.
+ 0.181818181818c-0.25c=-0.75

We simplify left and right side of the equation.
-0.0681818181818c=-0.75

We divide both sides of the equation by -0.0681818181818 to get c.
c=11 remember to mark me the brainiest please

2 more than twice a number w

Answers

twice of w is 2w and 2 more than 2w is 2w + 2,

So your answer is 2w + 2

Hope this helped!

(2w)+2 is your answer

hope this helps

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=h ( a+b ) 2 Solve for b.

Answers

I believe the right equation for determining the area of a trapezoid is as below,
A = h(a + b)/2

To determine the expression for b which is the length of one of its bases, we multiply the equation by 2.

2A = h(a + b)

Then, divide both sides of the equation by h,

2A/h = a + b

Then, subtract a from both sides of the equation,
2A/h - a = b

Lastly, interchange the sides of the equation to reveal the answer.

b = 2A/h - a

B= 2a/ h - a

Hope it helps!

hamburger selling $1.25 a pound contains 30% fat. how much does the consumer pay for the meat without the fat?

Answers

70% is not fat, so 70% of $1.25 is about 88 cents

The consumer is paying $0.875 for the meat without the fat.
Answer : $0.88
(Hopefully its right)

What is one benefit to lifelong physical activity? healthier diet lower risk of stroke organized daily schedule lower chance of injury

Answers

Lower risk of stroke should be the answer

What is the measure of an exterior angle of a regular 7-sided polygon? The answer must be a decimal.

Answers

1 interior angle = [(n-2)180]÷n
= [(7-2)×180]÷7
= 900÷7 = 128.57 °
an exterior angle = 180 - interior
= 180-128.57
= 51.43°

You can buy an item for $20 at a store within walking distance. You can buy the same item online for $12 with $10 for shipping. Which is the better deal?

Answers

To be honest, I think that depends on the person. If they don't want to get up and walk to the store, then the online item might be better. Online, it's $22.00, but at the store, it's only $20.00. For me, the better deal would be the item at the store.

20 pts. Involves Triangle Centroids

Answers

check the picture below.

so, what does that mean? well, the median GP, gets cut by the point O, at a ratio of 2:1, the same is true for the other medians btw, EN and FM.

that means GO is twice as large as OP.

since we know that OP is 20 -x , let's use that then.

[tex]\bf GO:OP\qquad \cfrac{GO}{OP}\qquad 2:1\qquad \cfrac{2}{1}=\cfrac{GO}{OP}\implies \cfrac{2}{1}=\cfrac{4x-8}{20-x} \\\\\\ 40-2x=4x-8\implies 48=6x\implies \cfrac{48}{6}=x\implies \boxed{8=x}\\\\ -------------------------------\\\\ OP=20-(8)[/tex]

HELP, I NEED SOMEBODY
2. Solve the equation p^2 + 4p = 1 by completing the square. Show your work

Answers

The solutions to the equation [tex]p^2+4p=1[/tex] using completing the square method are [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]

The given equation is:

[tex]p^2+4p=1[/tex]

Add [tex](\frac{4}{2})^2[/tex] to both sides of the equation

[tex]p^2+4p+(\frac{4}{2})^2= 1 + (\frac{4}{2})^2\\\\p^2+4p+2^2=1+2^2\\\\(p+2)^2=1+4\\\\(p+2)^2=5\\\\[/tex]

Find the square root of both sides

[tex]p+2 = \pm\sqrt{5}\\\\p=-2\pm sqrt{5} \\\\p = -2 - sqrt{5}\\\\p=-2+ \sqrt{5}[/tex]

The roots of the equation are [tex]-2- \sqrt{5}[/tex] and [tex]-2+ \sqrt{5}[/tex]

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Final answer:

The equation p² + 4p = 1 can be solved by first rearranging to p² + 4p - 1 = 0, completing the square, simplifying and taking square roots. The solutions are p = -2 + sqrt(5) and p = -2 - sqrt(5).

Explanation:

To solve the quadratic equation p² + 4p = 1 by completing the square, we first arrange the equation with the quadratic and linear terms on one side and the constant on the other:

p²+ 4p - 1 = 0.

Next, we complete the square by adding the square of half the coefficient of p to both sides of the equation. The coefficient of p is 4, so half of it is 2, and squaring it gives 4. So, we have:

p² + 4p + 4 = 1 + 4

This simplifies to:

(p + 2)² = 5

Then, we take square roots of both sides:

p + 2 = ± sqrt(5)

Which further simplifies to:

p = -2 ± sqrt(5)

So, the solutions for this quadratic equation are p = -2 + sqrt(5) and p = -2 - sqrt(5).

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In the inequality 3x + 14 ≤ 44, x represents the cost of CDs Tim bought. Which phrase most accurately describes the cost of CDs?

Answers

You are correct! :)))))))))))))

Answer:

The cost of the cd is at most 10$

Step-by-step explanation:

Test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be 90. find the z-score corresponding to this value.

Answers

Z score=(data value-mean)/standard deviation
z=(90-100)/15=-0.6666666667

The z-score corresponding to this value will be negative 0.6667.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

Test scores are typically conveyed with a mean of 100 and a standard deviation of 15. A singular's level of intelligence score is viewed as 90.

The z-value is given as,

z = (90 - 100) / 15

z = - 10 / 15

z = - 0.6667

The z-score relating to this worth will be negative 0.6667.

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Find the real or imaginary solutions of the equation by factoring. X^4-10x^2=-9

Answers

Given expression is [tex]x^4-10x^2=-9[/tex]

Rearranging to get [tex]x^4-10x^2+9=0[/tex]

Let [tex]x^2[/tex] be [tex]p[/tex], then we have [tex]p^2-10p+9=0[/tex]

Factorising we get [tex](p-1)(p-9)=0[/tex]
Solving for [tex]p[/tex], we have [tex]p=1[/tex] and [tex]p = 9[/tex]

Rewriting [tex]p[/tex] back as [tex]x^2[/tex], we have:
[tex]x^2=1[/tex] and [tex]x^2=9[/tex]
[tex]x= \sqrt{1} [/tex] and [tex]x= \sqrt{9} [/tex]
[tex]x = (+1) and (-1)[/tex] and [tex]x=(+3) and (-3)[/tex] ⇒ Final answers

For a quadrilateral to be a parallelogram, its opposite sides and _____ must be congruent.

Answers

Opposite side of the Angles must be congruent

For a quadrilateral to be a parallelogram, its opposite sides and angles must be congruent.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

A quadrilateral is a closed shape in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral. The word "quadrilateral" is derived from the Latin "quadra" (four) and "latus" (sides).

For a quadrilateral to be a parallelogram, its opposite sides and angles must be congruent.

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If $4500 is invested at an interest rate of 7.25% per year, compounded continuously, find the value of the investment after the given number of years. (round your answers to the nearest cent.)

Answers

Final answer:

The value of an investment of $4500 at a 7.25% annual interest rate, compounded continuously, is calculated using the compound interest formula [tex]P = P_0e^{rt}[/tex], where P0 is the initial amount, r is the rate as a decimal, and t is the time in years.

Explanation:

The subject of this question is Mathematics, and it falls under the High School grade level. To find the value of an investment compounded continuously, we use the formula:

[tex]P = P_0e^{rt}[/tex]

Where:

P0 is the initial amount investedr is the annual interest rate (in decimal form)t is the time in yearse is the base of the natural logarithm, approximately equal to 2.71828

Given a $4500 investment at a 7.25% annual interest rate, compounded continuously, we can calculate the future value of the investment after t years. Convert the percentage to a decimal by dividing by 100:

r = 7.25 / 100 = 0.0725

So the formula becomes:

[tex]P = $4500e^{0.0725t}[/tex]

Plug in the number of years into 't' to calculate the future value for that specific duration.

After 2, 4, and 6 years of continuous compounding, the investment values are approximately $5198.85, $6014.70, and $6953.85 respectively.

To find the value of the investment after a certain number of years with continuous compounding, we use the formula:

[tex]\[ A = P e^{rt} \][/tex]

Given:

- P = $4500

- r = 7.25% = 0.0725 (as a decimal)

We need to calculate the value of the investment after 2, 4, and 6 years.

(a) For 2 years:

[tex]$ A = 4500 \times e^{0.0725 \times 2} $\\$ A = 4500 \times e^{0.145} $\\$ A \approx 4500 \times 1.1553 $\\$ A \approx \$5198.85 $[/tex]

(b) For 4 years:

[tex]$ A = 4500 \times e^{0.0725 \times 4} $\\$ A = 4500 \times e^{0.29} $\\$ A \approx 4500 \times 1.3366 $\\$ A \approx \$6014.70 $[/tex]

[tex]$ A = 4500 \times e^{0.0725 \times 6} $\\$A = 4500 \times e^{0.435} $\\$A \approx 4500 \times 1.5453 $\\$ A \approx \$6953.85 $[/tex]

So, the values of the investment after 2, 4, and 6 years respectively are approximately:

(a) $5198.85

(b) $6014.70

Complete Question:
If $ 4500 is invested at an interest rate of 7.25% per year, compounded continuously, find the value of the investment after the given number of years. (Round your answers to the nearest cent.)

(a) 2 years

(b) 4 years

What is the unit rate for $1 for 12lbs

Answers

[tex] \frac{12}{1} [/tex]

You can get 12 for 1. Unit rate is the simplified fraction in which the denominator is 1.

1. You will use 25% of your budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not include commas for large numbers. Do not solve.

2. How much money will rent and utilities cost? Enter your answer as a number, without any commas or dollar signs.

Answers

1. If the total budget is x,
then budget used for rent business space and pay for utility = 25% of x
= [tex] \frac{25}{100} [/tex] × x
= [tex] \frac{1}{4} [/tex] × x
= [tex] \frac{x}{4} [/tex]

2. $1 for total budget of $4.

Part (a):
Assume that the budget you have is x.
You will spend 25% of this budget on rental and utilities' cost.
This means that you will spend 25% * x on rental and utilities' cost.
Transforming this into an equation:
cost of rent and utilities = 0.25x

Part (b):
You should really add you budget so that we can solve this part. Since you haven't, I;ll just assume a budget and you can follow the same steps of calculations based on the budget you have.
Assume that the budget is 100$.
This means that:
money spent on rent and utilities = 0.25(100) = 25$
remaining money = 100 - 25 = 75$

My number has 2 digits and is even, the sum of my numbers digits is 10, the difference of the two digits of my number is 6, my number has 4 factors,what am i

Answers

x + y = 10
x - y = 6
---------------add
2x = 16
x = 16/2
x = 8

x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2

number 82......factors of 82 are 1,2,4,82...so there are 4 factors

so ur number is 82 <==

Please Help! I don't want an exact answer, just a brief explanation of what the question actually means.
IF THE STUDENTS HIKE AT A SPEED OF 4 KM/H, WHAT IS THE TOTAL DISTANCE THE STUDENTS WILL HIKE?

Answers

If the students are hiking at 4 km/h, you'll need to use the schedule to find the total number of hours they spent hiking and multiply it by that rate. According to the activity column, how many time chunks are they hiking for, and how long does each of them last? You can use that information to help answer the question.

Answer:

21km i beileve srry im late

Step-by-step explanation:

please help!

create an expression equal to 6/5

what you have to work with:

1/16, (7/10, -, 5/8), ÷

Answers

Alright, so by finding a common denominator (with a bit of guess and check) we get 1/16=5/80 (since 80/16=5 and 5*1=5), 7/10=56/80, and 5/8=50/80.
In addition, 6/5=96/80. To get this, we'd want 6 as the numerator and 5 as the denominator. Noting that we have parenthesis (meaning that (7/10 has to start with the parenthesis and 5/8) has to end it), we can also notice that (56-50)/80=6/80 and since 1/16=5/80, we can divide them to get (6/80)/(5/80)=
(6*80)/(5*80)=6/5

Along the Oregon trail the trading post in fort Laramie, Wyoming, sold a 16 pound of beef je rky for 5.92 what was the cost per pound

Answers

You need to divide the amount from the quantity
So 5.92 divide by 166= $0.37 per pound.

A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. if the river forms one side of the corrals and 330330 yd of fencing is available, find the largest total area that can be enclosed.

Answers

Given that the river encloses one of the side of the corals, then only three sides of the corals needs to be fenced and the demacation of the two sections.

The sides to be fenced is three equal sides plus one other side. Let the length of the coral be x, then the perimeter of the sides to be fenced is given by 3x + the other side = 330

Thus, the sides sides of the rectangle formed by the two adjacent corals are x and 330 - 3x.

The area of a rectangle is given by length x width.

Thus, the area of the corals to be enclosed is given by

[tex]Area=x(330-3x)=330x-3x^2[/tex]

For the area to be maximum, the differentiation of the area with rexpect to x will equal 0.

Thus,
[tex] \frac{dA}{dx} =330-6x=0 \\ \\ \Rightarrow6x=330 \\ \\ \Rightarrow x=55[/tex]

Therefore, the largest total area that can be enclosed is given by

[tex]Area=330x-3x^2 \\ \\ =330(55)-3(55)^2 \\ \\ =18,150-9,075 \\ \\ =9,075\ yd^2[/tex]

Jonas bought 3 books. Each book was the same price. He also used a coupon that takes $20 off the total cost. What expression can be used to represent the total purchase?

Answers

Final answer:

The expression to represent Jonas's total purchase is 3x - $20, where x is the price of one book.

Explanation:

To create an expression that represents the total purchase of Jonas's books, let's denote the price of each book as x. Jonas bought 3 books at the same price, so the cost of the books is 3x. However, with the coupon, Jonas gets $20 off the total cost. Therefore, the expression that represents the total purchase is:

3x - $20

This expression first calculates the total cost of the books (3 times the price of one book) and then subtracts the $20 discount from the coupon.

Every square is ____ a rectangle.
A. always
B. sometimes
C. never

Answers

A square is a special kind of rectangle (4 sides) so therefore it is always a rectangle.

Your answer is A always because a square has 4 sides or points which makes it a quadrilateral and a rectangle has four sides and points which also makes it a quadrilateral and a square is a rectangle because their the same thing but a rectangle is bigger its not B, and C because of these reasons above and because a square has 4 sides.

Your answer is A.

Write 5 equations where the difference is equal to 3

Answers

Answer:

5-2

28 - 5²

17 - 7 × 2

[tex]\frac{28}{4}-4[/tex]

5 × 3 - 4 × 3

Step-by-step explanation:

Let x and y be any two numbers,

Such that,

y - x = 3,

⇒ y = 3 + x

Where, x is any positive real number.

Thus, we can find such equation by using this,

Such equations could be,

5 - 2, 28 - 25, 17 - 14, 7 - 4, 15 - 12

5-2, 28 - 5², 17 - 7 × 2, [tex]\frac{28}{4}-4[/tex], 5 × 3 - 4 × 3

Five equations where the difference is equal to 3 are, respectively:

(i) [tex]y - x = 3[/tex]

(ii) [tex]y + 9\cdot x = 3[/tex]

(iii) [tex]y -5\cdot x = 3[/tex]

(iv) [tex]y +2\cdot x = 3[/tex]

(v) [tex]y -11\cdot x = 3[/tex]

Reminder - Statement is incomplete. After some research, we determine that complete form is: "Write 5 linear equations where the difference is equal to 3".

From Analytical Geometry, a Linear Equation is an expression of the form:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.[tex]m[/tex] - Slope.[tex]b[/tex] - Intercept.

Based on the question, we need to write 5 expressions so that:

[tex]y - m\cdot x = b[/tex]

If we know that [tex]b = 3[/tex], then we get the following expressions:

(i) [tex]y - x = 3[/tex]

(ii) [tex]y + 9\cdot x = 3[/tex]

(iii) [tex]y -5\cdot x = 3[/tex]

(iv) [tex]y +2\cdot x = 3[/tex]

(v) [tex]y -11\cdot x = 3[/tex]

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For high school wrestling competitions, the wrestling mat must be a square with an area of 1444 square feet. _ feet is the length of each side of the wrestling mat.

Answers

area of a square = a^2....where " a " is the length of one side

A = a^2
A = 1444

1444 = a^2....take the sqrt of both sides, eliminating the ^2
sqrt 1444 = a
38 = a.....so each side is 38 ft <==

The length of each side of the wrestling mat is, 38 feet.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

For high school wrestling competitions, the wrestling mat must be a square with an area of 1444 square feet.

Let the length of each side of the wrestling mat is, x

Hence, We get;

⇒ x² = 1444

⇒ x = √1444

⇒ x = 38 feet

Thus, The length of each side of the wrestling mat is, 38 feet.

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An online weather report says the temperature is between 40 degrees and 50 degrees, when it is really 54.4 degrees outside. Which of the following is true?

Answers

It's slow on giving the imformation

What are the options?

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below. 3x + 2y = 36.50 2x + 5y = 50.00 At which job does Percy earn the greater hourly wage? How much does Percy earn each hour at this job? Percy earns a greater hourly wage of $7.00 at the library. Percy earns a greater hourly wage of $7.00 at the coffee cart. Percy earns a greater hourly wage of $7.50 at the library. Percy earns a greater hourly wage of $7.50 at the coffee cart.

Answers

Percy earns a greater hourly wage of $7.50 at the library.

Answer:

Percy earns a greater hourly wage of $7.50 at the library.

Step-by-step explanation:

Find the equation of the line in the xy-plane that contains the point (4, 1) and that is perpendicular to the line whose equation is y = 3x + 5.

Answers

Attached the solution and work.

The corresponding angles postulate states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are

Answers

the pairs of corresponding angles are congruent to each other

Other Questions

In the four-stroke internal combustion engine, fuel is ignited during the ____ stroke. 1.Sequoyah was born in land that would be part of what state?AlabamaGeorgiaTennesseeTexas2.The written language Sequoyah created was based mainly on __________.letterssyllableswhole wordsword combinations3.How many characters were there in the Cherokee written language?26526885 What was a major economic domestic goal for Nixon? A. balancing the federal budget B. balancing the power from the federal government back to the states C.ensuring the continuation of Johnsons War on Poverty D. establishing a national environmental day Ainsley is a student at state university working toward a bachelor's degree in finance. in order to gain some work experience and increase her marketability, she has accepted a summer internship in the finance department at a pharmaceutical company. she is quite pleased with the pay; $15 an hour is more than other students in her cohort were receiving for their summer internships. at work she meets josh, a recent graduate of state university working as a middle manager in the same finance department. josh makes $30 an hour. on the job, ainsley could be described as a go-getter. she's engaged and satisfied, and always seems willing to help others. josh is quite the opposite. he often seems disinterested in his job and even has thoughts about quitting. when pressed one day about why he is unhappy, josh cites his pay as the main reason. specifically, he tells ainsley that, compared to managers at other pharmaceutical companies, he makes much less. "it isn't fair," he complains. "i work just as hard as they do, yet i don't make as much. maybe i should go work for the competition." how could someone making $30 an hour be less satisfied with his pay than someone making $15 an hour and be less motivated as a result? Was life easier for teenagers 50 years ago than it is for teenagers today? What were the key features of the new spirit that came to be called the renaissance? Solve for 9c + 4 = -23A. -3B. 3C. -2.1D. 4 What is the answer of 6=1-2n+5 A rectangle's length is 5 units more than the width. the perimeter is 9 times the width. what are the length and the width of the rectangle described? The Adamson Act, which legislated working hours and pay in the railroad industry, was significant because which statement best explains the type of appeal the author is using in An Indian Father's Plea?A.Logos, because the author uses vivid descriptions that evoke strong emotions in the audience.B.Ethos, because the author encourages the audience to think with their hearts instead of their heads.C.Ethos, because the author references respected institutions like the U.S. Congress and the Constitution.D.Pathos, because the author provides the audience with facts and evidence to support his argument Given the functions f(x) = 2x 1 and g(x) = 3x + 4, which operation results in the smallest coefficient on the x term? Jerri needs 3/4 cup of oil and 1 cup of vinegar to make salad dressings. If he only has 2/3 cup of vinegar, how much oil should he use? What anchors the spindle The process of keeping or maintaining information in long term memory is: Which of these is not true of enzymes?a. enzymes speed up reactions in cells.b. enzymes work the same at all temperatures.c. enzymes work only in a relatively narrow ph range.d. enzymes work on specific chemicals? A proof uses logical reasoning that starts with accepted ideas and proceeds through logic to reach a conclusion. Which type of reasoning does a mathematical proof use? deductive or inductive A project manager may also be the project champion. true 2x+4=3y can someone solve it? what is the constant of variation of y=3x Steam Workshop Downloader