Solve the following inequality, show your work.
q+19>49

Answers

Answer 1

Answer:

[tex]\boxed{\bf q=30}[/tex]

Step-by-step explanation:

[tex]\bf q+19 > 49[/tex]

Subtract 19 from both sides:-

[tex]\bf q+19-19 > 49-19[/tex]

[tex]\bf q=30[/tex]

________________

Hope this helps!

Have a great day!

Answer 2

Answer:

q>30

Step-by-step explanation:

Solution

This question tests on Inequality.

Given Information from the question, we have to make sure the left side of the inequality has only q, which is the variable, then we will simplify it.

[tex]q + 19 > 49 \\ q + 19 - 19 > 49 - 19 \\ q > 30[/tex]

Therefore the inequality is q>30.


Related Questions

how many words can be formed with pati regardless of the meaning​

Answers

Answer:

The number of words that can be formed with PATI is a total of 24 words.

Step by step explanation:

Expressed mathematically, we can use the Permutations method.

The Permutation allows us to symbolically express the number of words that we can form and order with just one.

A permutation is defined as the variation of the position of the elements belonging to a given set.

The PATI permutation:

We see how many elements are in the word: 4 elements.

[tex] \: \: \: \: \: \: \: \: \: \: \begin{gathered} \bold{4 ! = 4 \times 3 \times 2 \times 1} \\ \bold{ 4! = 12 \times 2 \times 1 }\\ \bold{4! = 24 \times 1 }\\ \bold{4! = 24}\end{gathered}[/tex]

[tex]\therefore[/tex] The number of words that can be formed with PATI is a total of 24 words.

a popsicle tray has 6 cone-shaped popsicle molds. each popsicle mold has a diameter of 5.4 cm and a height of 12.9 cm. how many cubic centimeters will one tray hold

Answers

One tray will hold 590.877 cubic centimeters.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

We have to find the volume of a cone-shaped popsicle mold and then multiply it with 6 to find the required answer.

Volume of a cone = [tex]\frac{1}{3}[/tex] π r² h

Given,

Diameter = 5.4 cm

Radius = Diameter / 2 = 5.4 / 2 = 2.7 cm

Height = 12.9 cm

Volume of the cone = [tex]\frac{1}{3}[/tex] π × (2.7)² × 12.9

                                 = [tex]\frac{1}{3}[/tex] π × 94.041

                                 = 98.4795

Total volume of 6 molds in the tray = 98.4795 × 6

                                                           = 590.877 cubic centimeters

Hence the volume of the molds that the tray hold is 590.877 cubic centimeters.

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45% of 1 hour expressed in minutes

Answers

Answer:

27 minutes

Step-by-step explanation:

Convert 45% to a fraction

45% = 45/100 = 9/20  (divide numerator and denominator by 5)

1 hour = 60 minutes

45% of 1 hour = 9/20 x 60 = 27 minutes

45% of (1 hour) =
27 minutes

What is the value of k if the system of equations kx 5y 2 6x 2y 7 has no solution?.

Answers

So, the value of k that makes the system of equations kx - 5y = 2, 6x + 2y = 7 has no solution is -1.

A system of linear equations has no solution when the equations are inconsistent, which means that there is no set of values for the variables that would make both equations true at the same time.

In the case of the system of equations kx - 5y = 2, 6x + 2y = 7, we can check for consistency by trying to find a unique solution for the system. We can use different methods such as elimination, substitution or Gaussian elimination.

If we use elimination method, we try to eliminate one of the variable from one equation and substitute it in another equation. By adding the two equations, we get: (k + 6)x = 9, which implies that the value of x is x = 9/(k+6).

Now by substituting this value into the first equation we get k*9/(k+6) - 5y = 2

And we can find the value of y by dividing both sides by -5/1: y = (2*(k+6))/(5*k)

Now if we substitute this value of x and y into the second equation:

6x + 2y = 7

We get: 6*(9/(k+6)) + 2*((2*(k+6))/(5*k)) = 7

And if we simplify this equation we get: 9 + 4/(5*k) = 7(k+6)/(k+6)

And that gives us k = -1, which means the system has no solution.

Therefore, the value of k that makes the system of equations kx - 5y = 2, 6x + 2y = 7 has no solution is -1.

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In triangle ABC, AC = 21, BC = 28, and ∠ACB = 90◦

. The bisector of ∠ACB meets AB at D.

Find the length BD and CD

Sorry don't have image

Answers

The length of BD and CD are 15 units and 20 units respectively

How to find the length BD and CD?

By the Angle Bisector Theorem, we have:

BD/DC = AC/BC = 21/28

We can use the Pythagorean Theorem to find AC:

AC² + BC² = AB²

21² + 28² = AB²

AB = 35 units

Now we can use the Angle Bisector Theorem to find BD:

BD/DC = 21/28

BD + DC = AB

BD = (21/49) × AB

BD = (21/49) × 35

BD = 15 units

To find CD, we can use the fact that BD + DC = AB:

CD = AB - BD

CD = 35 - 15

CD = 20 units

Therefore, the length are BD = 15 and CD = 20 units.

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Is this function linear, quadratic, or exponential?
X 2 3 4 5 6 Y 40 90 160 250 360

Answers

Answer:

Step-by-step explanation:

It is Linear

What is one more then 12?.

Answers

The answer of 1 more than 12 is 13.

The answer of 1 more than 12 is 13 which can be derived using simple mathematical calculations.

To find 1 more than 12, you can add 1 to the original number 12.

1 + 12 = 13

It's a simple arithmetic operation where you add a specific number, in this case 1, to the original number.

An arithmetic operation is a mathematical process that combines two or more numbers to produce a new number. The most basic arithmetic operations are addition, subtraction, multiplication, and division.

Addition: It is the process of combining two or more numbers to find their sum. For example, 2 + 3 = 5 is an addition operation.

Subtraction: It is the process of finding the difference between two numbers. For example, 5 - 3 = 2 is a subtraction operation.

Multiplication: It is the process of finding the product of two or more numbers. For example, 3 x 4 = 12 is a multiplication operation.

Division: It is the process of finding the quotient of two numbers. For example, 12 ÷ 3 = 4 is a division operation.

Therefore, The answer of 1 more than 12 is 13.

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Find m/G.
F
150°
H
G

Answers

The measure of angle G is 121 degrees and this can be determined by using the sum of interior angle properties.

What is sum of interior angles?

Sum of interior angles is calculated using the formula (n 2) 180, where is the total number of sides. In a regular polygon, each inside angle is the same. Interior angle of a polygon is equal to the sum of interior angles divided by the number of sides, according to the following formula. One of the first things we all learned about triangles was that the sum of the internal angles is 180 degrees.

Given :

Triangle FHG

Angle F = (x - 5) degreesAngle G = (3x + 25) degreesAngle H = (x) degrees

Applying the sum of interior angles property on the triangle FHG. According to the sum of interior angles property:

[tex]$$\angle \mathrm{F}+\angle \mathrm{H}+\angle \mathrm{G}=180^{\circ}$$[/tex]

Now, substitute the values of the known terms in the above equation.

[tex]$$(x-5)+(x)+(3 x+25)=180$$[/tex]

Simplify the above equation In order to determine the value of ' $x$ '.

[tex]& 5 x+20=180 \\[/tex]

[tex]& 5 x=160 \\[/tex]

[tex]& \mathbf{x}=\mathbf{3 2} \text { degrees }[/tex]

So the angle[tex]$\mathbf{G}$[/tex] is given by:

[tex]& \angle \mathrm{G}=3(32)+25 \\[/tex]

[tex]& \angle \mathrm{G}=121^{\circ}[/tex]

The complete question is,

What is m∠G ?

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Alyson deposits $500 in the bank for 12 years. The bank offers her a 4% interest rate compounded annually. How much money will be in her account at the
end of the 12 years? (Remember to round your answer to the nearest cent.)

Answers

Answer:

$800.516

Step-by-step explanation:

We use the equation

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

P = principal

r = rate of interest

t = times

Now let's solve

P = $500

r = 4% = 0.04

t = 12 years

A = $500(1 + [tex]\frac{0.04}{12}[/tex] ) ^12 = $800.516

What i the future value of the following amount at the given imple interet rate and time 2000. 00at
3% for 3 year compounded annually

Answers

The future value of $2000 at a 3% interest rate compounded annually for 3 years would be $2185.40.

The future value calculation

The future value of $2000 at a 3% interest rate compounded annually for 3 years can be calculated using the formula:

FV = PV * (1 + r)ⁿ

where PV is the present value, r is the annual interest rate, and n is the number of compounding periods.

In this case:

FV = $2000 * (1 + 0.03)³

FV = $2000 * 1.03³

FV = $2000 * 1.0927

FV = $2185.40

So, the future value of $2000 at a 3% interest rate compounded annually for 3 years would be $2185.40.

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someone help solve this pls

Answers

Using SAS, property of triangle congruency, ΔRTV ≅ ΔRTS.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance.

The five congruent triangle theorems are therefore SSS, SAS, AAS, HL, and ASA.

Given,

Two triangles,

ΔRTV and ΔRTS,

RT = RT                                      (Side)    [Common side]

∠RTV = ∠RTS                            (Angle)    [Both are 90°]

VT = TS                                      (Side)   [As T is the mid - point of VS ]

Using SAS, property of triangle congruency,

ΔRTV ≅ ΔRTS

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Shade the portion of the diagram that illustrates the set. A ∪ B ∩ C

Answers

The portion of the diagram that illustrated the set A ∪ B ∩ C is given on the  image presented at the end of the answer.

How to shade the set?

The union operation, symbolized by U, is composed by the elements that belong to at least one of the sets.

The intersection operation, symbolized by ∩, is composed by the elements that belong to all the sets.

Hence, for the set A ∪ B ∩ C, the requirements are given as follows:

Element belongs to either set A or set B.Element belongs to set C.

The shaded region corresponding to the operation is given at the end of the answer.

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Alex ran 4 1/2 kilometers in 3/4 of an hour. How many kilometers he ran per hour?

Answers

How many kilometers he ran per hour?

Alex ran 6 kilometers per hour.

The ratio can be calculated as follows:

The first is to convert mixed fractions to improper fraction

4 [tex]\frac{1}{2}[/tex] km =  [tex]\frac{(4x2)+1}{2}[/tex] km

= [tex]\frac{8+1}{2}[/tex] km

= [tex]\frac{9}{2}[/tex] km

The next step is to compare worth comparison

[tex]\frac{a1}{b1}[/tex] = [tex]\frac{a2}{b2}[/tex]

[tex]a_{1}[/tex] = 4 [tex]\frac{1}{2}[/tex] km = [tex]\frac{9}{2}[/tex] km

[tex]a_{2}[/tex] = X

[tex]b_{1}[/tex] = [tex]\frac{3}{4}[/tex] hour

[tex]b_{2}[/tex] = 1 hour

So,

[tex]\frac{9/2}{3/4}[/tex] = [tex]\frac{X}{1}[/tex]

X = [tex]\frac{(9/2)x1}{3/4}[/tex]

X = [tex]\frac{9/2}{3/4}[/tex]

X = [tex]\frac{9}{2}[/tex] × [tex]\frac{4}{3}[/tex]

X = [tex]\frac{36}{6}[/tex] kilometers

X = 6 kilometers

Alex ran 6 kilometers per hour.

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Hanon opened a aving account and depoited $800. 00 a principal. The account earn 4% interet, compounded annually. What i the balance after 9 year?
Ue the formula A=P1
r
n
nt, where A i the balance (final amount), P i the principal (tarting amount), r i the interet rate expreed a a decimal, n i the number of time per year that the interet i compounded, and t i the time in year. Round your anwer to the nearet cent

Answers

The balance after 9 years is $1139.94 rounded to the nearest cent.

The formula to use in this case is A = P(1 + r)^nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years.

Given the information in the problem, we know that:

P = $800.00 (the principal or starting amount)

r = 0.04 (the interest rate as a decimal)

n = 1 (the interest is compounded annually)

t = 9 (the number of years)

Plugging these values into the formula, we get:

A = $800.00(1 + 0.04)^9

To solve for A, we need to calculate (1 + 0.04)^9

=1.04^9

=1.041.041.041.041.041.041.041.041.04

=1.424928

A = $800.00*1.424928

A = $1139.94

So the balance after 9 years is $1139.94 rounded to the nearest cent.

Therefore, The balance after 9 years is $1139.94 rounded to the nearest cent.

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A = $800.00(1 + 0.04)^9

To solve for A, we need to calculate (1 + 0.04)^9

=1.04^9

=1.041.041.041.041.041.041.041.041.04

=1.424928

A = $800.00*1.424928

A = $1139.94

What is the equation of the linear relationship in slope-intercept form?

Answers

Answer:

y = 10x + 20.

Step-by-step explanation:

Slope of the line = (60-30) / (4 - 1)

                            = 30/3

                            = 10

y-intercept = 20

Formula is y = mx + c where m = slope and c = y-intercept

So, the answer is y = 10x + 20.

A question on a quiz asked students to factor the expression 32m - 24. Ryan and jane's answers are given below. Explain who is correct and why

Answers

Answer:

Ryan's answer: 8m - 6

Jane's answer: 4m - 3

Ryan is correct. By factoring out the greatest common factor from the expression, we get:

32m - 24 = (8m - 6) (4m - 2)

Jane's answer 4m-3 is not factor of the given expression.

The expression 32m - 24 can be written as (8m-6)(4m-2) but not as (4m-3)

So Ryan is correct.

Step-by-step explanation:

PLEASE TELL ME WHAT ONES TO PUT INSIDE THE BOXES
Eric is adding water to a 60
-gallons pool.
The pool already has 12
gallons of water, and he wants to fill it to at least 27
gallons. The water flows at a rate of 6
gallons per minute.
How many minutes, x
, will it take for Eric to fill the pool with at least 27
gallons of water?

Inequality that represents this situation:
27≤12+6x


To solve the inequality, you can begin by solving the equation as shown.

Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.

Answers

All possible solutions for the inequalities are from 2.5 to infinity.

Option F is the correct answer.

All possible solutions for the problem situation are 2.5 to 8.

Option D is the correct answer.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

27 ≤ 12 + 6x

Solve for x.

27 - 12 ≤ 6x

15 ≤ 6x

x ≥ 15/6

x ≥ 5/2

x ≥ 2.5

This means,

x values can be 2.5 and more.

Now,
For x = 8,

12 + 6 x 8

= 12 + 48

= 60 gallons (possible)

For x = 9,

12 + 6 x 9

= 12 + 54

= 66 gallons (not possible)

Since the maximum gallon the pool can contain is 60 gallons.

Thus,

All possible solutions for the inequalities are from 2.5 to infinity.

All possible solutions for the problem situation are 2.5 to 8.

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What are the 4 conditions of a binomial distribution?.

Answers

The four conditions of a binomial distribution are: independence, normality, symmetry, and rarity.

Independence: Each trial in a binomial distribution is independent of the other trials, meaning that the outcome of one trial does not affect the outcome of any other trial.

Normality: The distribution of the data follows a normal distribution, meaning that it is bell-shaped and symmetrical.

Symmetry: The binomial distribution is symmetrical around the mean, meaning that the probability of the outcome being above the mean is the same as the probability of the outcome being below the mean.

Rarity: The binomial distribution is characterized by rare events, meaning that the probability of an event occurring is relatively low. This is because the outcomes of each trial are determined by a random process.

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\sqrt{8}\cdot\sqrt{6}

Answers

The value of the expression is 4√3

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, [tex]\sqrt{8}\cdot\sqrt{6}[/tex]

On solving we get

[tex]\sqrt{8}\cdot \sqrt{6}= \sqrt{48\\} \\=\sqrt{48} \\\\= \sqrt{16.3} \\\\=4 \sqrt{3}[/tex]

Hence, the value of the expression is 4√3

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Bruna i comparing the pay for advertied job. Which 2 way could Bruna find the bet paying job? ( choo 2 anwr)

Answers

1. She can look at similar job postings online to compare the salary range offered.

2. She can contact the average employer and ask directly what salary range they offer for the job.

There are two ways Bruna can compare the pay for advertised jobs. First, she can research the salary range of similar job postings. This can be done through job search websites, social networks, and other online resources. She can look at the salary range offered for similar jobs to get an idea of the pay she can expect from an employer.

The second way she can find out the best paying job for her is to ask the employer directly about the salary range. She can contact the employer and ask directly what salary range they offer for the job. This will give her an accurate picture of the salary range that the employer is offering, so she can make an informed decision on which job to apply for. By using these two methods, Bruna can compare the pay for advertised jobs and find the one that offers the best salary.

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Evaluate 0.5^3 and 0.5^-3 as fraction

Answers

Answer:

To evaluate 0.5^3 and 0.5^-3 as fractions, you can use the Decimal to Fraction Calculator. 0.5^3 is equal to 1/8 and 0.5^-3 is equal to 8/1. your welcome

Answer:

1/8 and 8.

Step-by-step explanation:

0.5^3

= (1/2)^3

= 1/ 2^3

= 1/8.

0.5^-3

= 1 /0.5^3

= 1 / 1/8

= 8.

4. Determine the values of p' and q for which (-4,-3) will be the solution of the system .​

Answers

The values of p is 5 and q is 2 in the solution of the given system .​

Determination of values of p and q?

Given that,

px + qy = −26 -----(1)

qx − py = 7 ------(2)

Multiplying  (1) by  y and (2) by  x

pxy+qy^2=−26y -----(3)

qx^2−pxy=7x -------(4)

Then adding  equation (3) and  (4), we get,

pxy+qy^2+qx^2−pxy=−26y+7x

qy^2+qx^2=−26y+7x

q(y2+x2)=−26y+7x

q=−26y+7xy^2+x2 --------(5)

Substitute x= -4 and y= -3  into the given system to solve it for "p" and "q". Hence, using  x=−4,y=−3 in  (5)

q = −26(−3) + 7(−4)(−3)^2 + (−4)2

q = 78 −289 + 16 = 5025 =2

And then, putting  q=2 in (2) we get,

2x−py=7⇒2x−7=py

2x−7y=p⇒2(−4)−7(−3)=p

After putting values of x and y, we get  2(−4)−7(−3)=p

−8−7−3=p⇒−15−3=p

p=5

Therefore, the values of p=5 and  q=2

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What percent of the 8th graders estimated they spend less than an hour a day on social media? Round your answer to the nearest whole number percent.

Answers

43% of eighth graders claim to spend more than an hour every day on social media.

What is the percentage?

A ratio written as a fraction of 100 is what is referred to as a percentage.

Students were asked in a survey if they thought they used social media more or less than an hour every day.

Added to Less

7th 12 14

8th 20 26

The number of students who responded "more" must be divided by the total number of 8th-grade students polled, and the result must then be multiplied by 100 to get the percentage of students who said they spend more than an hour a day on social media.

20 out of 46 students (20+26) responded "more," or roughly 43.48%.

As a result, 43% of eighth graders believe they spend more than an hour every day on social media.

The Complete Question.

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What is the Y − intercept?.

Answers

The equation in slope-intercept form as y = 2x - 4, where 2 is the slope and -4 is the y-intercept.

The equation y = 2x - 4 can be written in slope-intercept form as y = 2x + b, where b is the y-intercept. To find the slope and y-intercept of the equation, we need to solve for b.

The y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we can set x equal to 0 in the equation to get y = 2(0) - 4. This simplifies to y = -4, so the y-intercept is -4.

The slope is the rate at which the line rises. To find the slope, we can take the coefficient of x, which is 2. So the slope of the equation y = 2x - 4 is 2.

In summary, the slope of the equation y = 2x - 4 is 2 and the y-intercept is -4. We can write the equation in slope-intercept form as y = 2x - 4, where 2 is the slope and -4 is the y-intercept.

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complete question : what is the slope and y-intercept of the equation

y = 2x - 4 ?

Do parallel equations have no solution?.

Answers

The equation pair cannot be solved if the lines are parallel.

Although a system of linear equations typically has a single solution, it occasionally may have infinite or no solutions (parallel lines) (same line). When the graphs cross at a particular point, a system of linear equations has a single solution.

When the graphs are parallel, an equation system with linear components cannot be solved. The graphs of a system of linear equations have an infinite number of solutions. The lines must connect since the slopes differ. The system of equations that the lines represent has just one solution since the lines intersect at a specific place.

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Let' Scream for Ice Cream erve 3 coop of ice cream in it ignature cone. Each coop i a phere with a radiu of 4 centimeter. To the nearet cubic centimeter, what i the total volume of ice cream erved per cone?

Answers

The total volume of ice cream served per cone V=256πcm³

The volume of a cone defines as the space or the capacity of the cone. It is a three-dimensional geometric shape having a circular base that tapers from a flat base to a point called an apex or vertex.

Given that radius of a cone is r=4 centimeters.

Ice Cream serves 3 scoops of ice cream in its signature cone.

To calculate the total volume of ice cream cones we have a formula:

V=4/3πr³.

Substitute the radius we get:

V=4/3π(4)³*3

V=4/3π(64)*3

V=256π

Therefore, the total volume of ice cream served per cone V=256π

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What is the mirror image of (- 2 3 on Y axis?.

Answers

As per the given coordinates (-2, 3), the mirror image is (2,3)

In math the term coordinate is defined as  a set of values which helps to show the exact position of a point in the coordinate plane.

Here we have given the coordinates as (-2,3) and we need to find the mirror image on y axis.

The general term for the mirror image on y axis is written as,

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

Which the rule defines that the sign of x coordinate is changed when we calculate the mirror image on y axis.

Therefore here we have to change the sign of x coordinate that is -2, then we get the mirror image as,

=> (-2,3) = (2,3)

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What is the square of negative 4?.

Answers

Answer:

16

Step-by-step explanation:

Simplify the following:

(-4)^2

(-4)^2 = 16:

Answer: 16

Direction:Solve for the meaning term to form equivalent

1)2:3=N:21
2)5:2=20:N
3)2:7=12:N
4)6:7=30:N
5)N:10=15:55

Answers

The equation states the ratio of two numbers, where the numerator and denominator can be changed to obtain an equivalent equation. To solve for the meaning term, the numbers in the numerator and denominator must be manipulated to get the same ratio and the value of the meaning term can be found.

1)2:3=N:21

N=21*2/3

N=14

2)5:2=20:N

N=20*5/2

N=50

3)2:7=12:N

N=12*2/7

N=4.57

4)6:7=30:N

N=30*7/6

N=35

5)N:10=15:55

N=15*10/55

N=2.73

The equation states the ratio of two numbers, where the numerator and denominator can be changed to obtain an equivalent equation. To solve for the meaning term, the numbers in the numerator and denominator must be manipulated to get the same ratio. To do this, the numerator and denominator of the first equation can be multiplied or divided by the same number to get the same ratio as the second equation. When the ratio is the same, the meaning term can be found by dividing the numerator of the second equation by the denominator of the first equation. For example, the equation 2:3 = N:21 can be solved by multiplying 3 and 21 by 2, giving 6:42 = N:42, which has the same ratio. The meaning term is then found by dividing 42 by 3, giving N = 14. This process can be applied to all equations to find the meaning term.

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Trigonometric Ratios

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Answer:Hi there the answer is in quizlet is another page :) flashcards  TRIGONOMETRIC RATIOS

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