Answer:
a < -2.
Step-by-step explanation:
14 < -2a + 6-2a
14 < -4a + 6
14 - 6 < -4a
-4a > 8
Divide both sides by -4:
a < -2.
Note that the inequality flips because we are dividing by a negative number.
me nu elin.
Joan had 174 dollars to spend on 7 books. After
buying them she had 13 dollars. How much did
pas
each book cost?
vab 199
Weit
ration
angiario
new
for this situation
Answer:
23 dollars.
Step-by-step explanation:
She spent a total of 174 - 13 = 161 dollars.
So, the cost of each book = 161/7
= 23 dollars.
if h(t)=1248-160t+16t
Answer: 816
Step-by-step explanation:
h(3) = 1248 - 160(3) + 16(3)
h(3)= 1248 - 480 + 48
h(3)= 816
Solve the differential equation dpdt=5p a. assume a is a non-zero constant, and use c for any constant of integration that you may have in your answer. p=
The solution of the differential equation as given in the task content is; ln(5p +a)/5 + C = t
What is the solution of the differential equation as in the task content?It follows from the task content that the solution of the differential equation is required.
Given;
dp/dt=5p +a
To find; solution to the differential equation;
By variable separation; the resulting equation is;
dp/(5p +a) = dt
By integrating both sides of the equation; we have;
ln(5p +a)/5 + C = t
Ultimately, although both sides of the equation integrated yield a constant of integration as the integral is indefinite, the two constants have been combined into constant, C as in the equation above.
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Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
∠1 and ∠5
The relationship between the ∠1 and ∠5 is that both are corresponding angles
Given,
The angles = ∠1 and ∠5
Here,
∠1 and ∠5 are lies on the same side of the two lines and on the same side of the transversal
So, ∠1 and ∠5 are corresponding angles
Hence, The relationship between the ∠1 and ∠5 is that both are corresponding angles
The complete question is:
Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
∠1 and ∠5
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A standard 1 kilogram weight is a cylinder 54.5 mm in height and 53.0 mm in diameter. what is the density of the material?
The density of the material is 0.4 kg/cubic cm.
Given that:-
Height of the cylinder = 54.5 mm
Diameter of the cylinder = 53.0 mm
Weight of the cylinder = 1 kg
We have to find the density of the cylinder.
We know that,
Density = mass/volume
Here, mass = 1 kg
We know that,
Volume of a cylinder = [tex]\frac{1}{3} \pi r^2 h[/tex]
Where,
r is the radius of the cylinder, and
h is the height of the cylinder
Here, h = 54.5 mm, and
r = 53/2 = 26.5 mm
Hence,
Volume of cylinder = (1/3)*(22/7)*(26.5)(26.5)*54.5 ≈ 2566.088 ≈ 2566 cubic mm. = 2566/(10*10*10) cubic cm = 2.566 cubic cm
Density of cylinder = 1kg/2.566 cubic cm ≈ 0.3897 ≈ 0.4 kg/cubic cm.
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PLS HELP ME WITH THIS
How do you find equivalent expressions?
Image result for what is equivalent to (5x/6)
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Dylan has a points card for a movie theater.
• He receives 30 rewards points just for signing e
• He earns 7.5 points for each visit to the movie theater.
He needs go points for a free movie ticket.
Which tape diagram could be used to represent the context if z represents the
number of visits Dylan must make to earn a free movie ticket?
75
75
7:59
75
RAS
35
BAS
76
76
76
In tape diagram, The number of visits Juan must make to earn a free movie ticket
20 + 7.5V = 125
What is a tape diagram in math?
Students can use a tape diagram as a pictorial model to describe a mathematical relationship or to better grasp a mathematical idea. Although they are frequently employed with word problems, tape diagrams are helpful for addressing many other kinds of arithmetic problems.How a tape diagram appears?
A tape diagram is a rectangular illustration that resembles a piece of tape and has sections to help with computations. It is a frequent graphic tool for resolving mathematical word problems with ratios as their basis. In tape diagrams, rectangles are used to visually show the parts of a ratio.represents the number of visits Juan must make to earn a free movie ticket
20 + 7.5V = 125
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If (44)x = 432, what is the value of x?
4
7
8
28
Answer:
9.81....
Step-by-step explanation:
x = 432/44
x = 9.81...
How many atoms of carbon (C) are present in the reactants of the following chemical equation?
C7H16+O2
CO₂ + H₂O
(1 point)
7 atoms
16 atoms
1 atom
23 atoms
The reactants in the chemical equation C7H16 + O2 = CO2 + H2O have a total of 7 atoms in them.
How to count the number of atoms?The chemical formula of a compound indicates how many atoms are present in the substance.
The number of atoms of each element present in a molecule is noted in a chemical formula.
The answer to this query provides the following description of the chemical interaction between heptane and oxygen:
O2 + C7H16 = CO2 + H2O
Hexane's chemical composition reveals that the reactant side of the reaction has 7 carbon atoms.
Therefore, there are 7 atoms total in the reactants of the chemical equation C7H16 + O2 = CO2 + H2O.
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Anna's cars can travel to 8 miles on 6 gallons of gas write an equation to represent the distance y and mild and car driven on x gallons of gas
Answer:
a. [tex]y=38x[/tex].
Step-by-step explanation:
Let y represent distance in miles and x represent gallons of gas.
a. First of all, we will find mileage of Ann's car by dividing total distance traveled by total fuel consumed.
Mileage of Ann's Car: [tex]=\frac{228 miles}{6 gallons}[/tex]Mileage of Ann's Car:[tex]=\frac{38 miles}{gallon}[/tex]Since Ann's can travels 38 miles per gallon, so distance covered by using x gallons on gas would be [tex]38x[/tex] .
Therefore, our required equation would be [tex]y=38x[/tex].
Can someone help me find the value of x
Answer:
25
Step-by-step explanation:
180 - 25 = 155
180 - 155 = 25
positive & negative functions & the end behavior
Step-by-step explanation:
f(x) = 5|x - 1| - 5
f(x) will be positive that means >= 0, if
5|x - 1| - 5 >= 0
5|x - 1| >= 5
|x - 1| >= 1
that will be true for x <= 0 or x >= 2
f(x) will be negative for the other cases.
so, 0 < x < 2
f(x) is increasing in
[1, infinity)
the value "1" is for sure included, as it starts the increasing part.
f(x) is decreasing in
(-infinity, 1]
"1" is again included, because it ends the decreasing part.
end behavior means for x going to infinity and -infinity : in both cases f(x) goes to infinity.
x decreased by 13 is at least 15
Answer:
x [tex]\leq[/tex] 28
Step-by-step explanation:
lets say you chose 27 . 27 - 13 = 14 . thats not enough . but everything 28 and above would work for x . so x would be equal to or greater than 28 . hope this helps :)
Solve |x-5| + 7 = 13.
A. x= -11 and x = 1
B. x= -11 and x = -1
C. x 11 and x = -1
D. x= 11 and x = -11
|x-5| + 7 = 13 is equal to x= -11 and x = 1.
[tex]|x-5|+7=13[/tex]
Subtract 7 from both sides
[tex]|x-5|+7-7=13-7[/tex]
Simplify
[tex]|x-5|=6[/tex]
Apply absolute rule: If [tex]$|u|=a, a > 0$[/tex] then [tex]$u=a$[/tex] or [tex]$u=-a$[/tex] [tex]$x-5=-6$[/tex] or [tex]$x-5=6$[/tex]
[tex]$$x-5=-6 \text { or } x-5=6$$[/tex]
[tex]$$x=-1 \text { or } x=11$$[/tex]
Making something simpler is making it less intricate or crowded. When you describe a complex mathematical idea to a youngster in words they can easily comprehend, you are simplifying. When you eliminate many of the tasks that were keeping you occupied and stressed out, you have simplified.
Making something simpler refers to making it simpler to accomplish or comprehend. Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers.
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Write and solve an equation to answer the question.
The area of the postcard is 24 square inches. What is the width b of the message (in inches)?
Equation: __ =24
The width of the message as shown in the image attached is 3 inches.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the width of the message. The area of the postcard is 24 square inches, hence:
(b + 3)4 = 24
4b + 12 = 24
b = 3
The width of the message as shown in the image attached is 3 inches.
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A regulation volleyball has a circumference of about 66 centimeters. The ratio of the surface area of that ball to the surface area of a children's ball is approximately 1.6: 1 . What is the circumference of the children's ball? Round to the nearest centimeter.
The circumference of the children's ball to the nearest centimeter is 52 centimeters.
If a regulation volleyball has a circumference of about 66 centimeters, solve for its radius using the formula for the circumference of a circle given by:
C = 2πr
66 centimeters = 2πr
r = 33/π centimeters
Then, solve for the surface area of this regulation volleyball using the formula given by:
A = 4πr^2
A = 4π(33/π centimeters)^2
A = 4356/π square centimeters
If the ratio of the surface area of that ball to the surface area of a children's ball is approximately 1.6 : 1, then
surface area of regulation volleyball : surface area of a children's ball = 1.6 : 1
surface area of a children's ball = 4356/π square centimeters/1.6
surface area of a children's ball = 2722.5/π square centimeters
If the children's ball has a surface area of 2722.5/π square centimeters, solve for its radius using the formula for the surface area given by:
A = 4πr^2
2722.5/π square centimeters = 4πr^2
r = 26.0887907/π centimeters
Solving for the circumference:
C = 2πr
C = 2π(26.0887907/π centimeters)
C = 52.17758139 centimeters
Rounding off to the nearest centimeter.
C = 52 centimeters
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Help on solving this quadratic equation.
The discriminant of the quadratic equation is q · (q + 8) < 0. The solution set of this inequality is (0, - 8).
How to determine the family of constants associated to non-real roots of a quadratic equation
The nature of the roots of quadratic equations of the form a · x² + b · x + c = 0 can be inferred by the understading of its discriminant under the following condition:
b² - 4 · a · c < 0
Where a, b, c are the coefficients of the polynomial.
If we know that a = 2 · q, b = q and c = - 1, then the equation of the discriminant is:
q² - 4 · (2 · q) · (- 1) < 0
q² + 8 · q < 0
And by algebraic handling, we find the set of possible values of q:
q · (q + 8) < 0
The solution set of this inequality is (0, - 8).
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In a shipment of 53 vials, only 13 do not have hairline cracks. if you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?
Calculating the likelihood of experiments happening is one of the branches of mathematics named as probability. The probability that none of the 2 vials have hairline cracks is 0.0565.
What is meant by probability?The study of probabilities, which exists defined by the ratio of favorable occurrences to probable cases, exists comprehended as probability.
The probability that there won't be any hairline cracks = 13/53
If you choose two vials at random from the delivery
Probability (avoiding hairline cracks) = 13 - 1/53 - 1
Probability (avoiding hairline cracks) = 12/52
To find the chance that neither of the two vials has a hairline crack is
(13/53) × (12/52) = 0.2452 × 0.2307
= 0.0565
The probability that none of the 2 vials have hairline cracks is 0.0565
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At its peak, an online shopping site was selling about 420 items per second. At this rate, how many items would it sell in 30 minutes (1,800 seconds)?
The online site would sell
items in 30 minutes.
Step-by-step explanation:
420x1800=756000
so 756k items in 30 minutes
5/8 divided by 5/16?
Answer:
2
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \large{\frac{5}{8}} \: \div \large{\frac{5}{16}} \\ \\ = \frac{5}{8} \times \frac{16}{5} \\ \\ = \green 2 \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Answer:
2
Step-by-step explanation:
(5/8) ÷ (5/16)
= (5*16) ÷ (8*5)
= 80 ÷ 40
= 2
Find the coordinates of ΔA'' B'' C'' after a reflection in the x -axis and a rotation of 180° about the origin if ΔABC has vertices A(-3,1),B(-2,3), and C(-1,0).
A(0,-3), B(3,-2), C(1, -1) (B) is the coordinates of ΔA'' B'' C'' after a reflection in the x -axis and a rotation of 180.
What does the term "coordinates" mean?
Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicses, scientists, and engineers frequently employ a variety of coordinate systems.A 180 degree clockwise rotation will change the coordinates as follows (x,y) --> (-x,-y)
A(-3, 0), B(-2, 3), C(-1, 0) -->
A(3, 0), B(2, -3), C(1, -1)
Reflection across the line y=-x will change the coordinates as follows (x,y) --> (-y,-x)
A(3, 0), B(2, -3), C(1, -1) -->
A(0,-3), B(3,-2), C(1, -1) (B)
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i need an answer for this math equation please
like now
Simplify 3^2*5*2*3
thx
(heres the picture on the link of the equation)
Power of a number 3⁶⁰ is the simplest form of math equation.
What is the power of a number?
A power is a phrase that depicts the same component being multiplied repeatedly. The exponent, 2, and base, 5, respectively, are both numbers. The number of times the base is employed as a factor is represented by the exponent.What are power and exponent?
The term "exponent" describes how many times a number is multiplied. Power is the result of multiplying a number by itself a predetermined number of times. A number's exponent is the number raised in order to specify its power as a full expression.
3^2*5*2*3 = 3⁶⁰
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Edgar and Paul are playing video games. Edgar's score is 160 and he scores 5 points per second. Raul's score is 100 and he
scores 8 points per second. How long will it be before Raul takes the lead?
Answer:
21 seconds
Step-by-step explanation:
First let's find out how long it would take for them to have the same score.
160 + 5s = 100 + 8s
160 = 100 + 3s
60 = 3s
20 = s
Since it takes 20 seconds to get the same score and Raul get's more points every second, it would take 21 seconds for Raul to take the lead.
what’s in between 12.8 and 12.875
A rectangular field is 250m by 190m. How far is it across diagonally?
Answer:
314.0063694
Step-by-step explanation:
You will have to use the pythogoras. triple to solve the equation
Answer:
314 mStep-by-step explanation:
the diagonal is the hypotenuse of the two triangles that form the rectangle (see figure) we solve with Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
a² = b²+ c²
a² = 250² + 190²
a² = 62500 + 36100
a² = 98600
a = √98600
a = 314 m
Which graph shows the inverse of y = 3x - 12?
Answer:
graph B would be the answer.
Step-by-step explanation:
-
Write an inequality for the given scenario.
For safety, all dogs at a dog park who weigh, w, more than 50 pounds must play in Area 2.
Answer: w > 50
This is because we are focusing on weights (w) that are larger than 50
We won't have an "or equal to" as part of this.
An inequality for the given scenario is;
⇒ w > 50
Here,
The given scenario is;
For safety, all dogs at a dog park who weigh, w, more than 50 pounds must play in Area 2.
We have to find the inequality.
What is Inequality?
An inequality compares two values, showing if one is less than, greater than.
Now,
Weight of all dogs = w
And, Weight of all dogs w is more than 50 pounds.
Hence, An inequality for the given scenario is;
⇒ w > 50
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Canon borrows $3,000 at a yearly simple interest rates of 1.6% for 2 years how much does he owe in interest and how much does he need to pay back in all
Interest is Rs.96 and Total amount payback is Rs.3096.
Principal (P) = Rs.3000
Rate of interest (R) = 1.6%
Number of years (N) = 2 yrs
Simple interest = PNR/100
= (3000*1.6*2)/100
=(9600/100
=96Rs
Total Amount (A) = P+I
=3000+96
=3096Rs
The principal, or initial balance of your account, is where interest is calculated. This could be the initial sum of a loan or an investment. The simplest way to compute interest is as a percentage of the principal .Only relatively short-term loans frequently include one-time basic interest charges. Interest is frequently paid on a daily, monthly, quarterly, or annual basis for loans with longer terms. In that scenario, interest would be consistently earned.
Hence, the interest for the above principle is 96Rs and the total amount to be payback is 3096Rs.
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simplify with the steps
By algebraic simplification, the expression [(3 · a · b²) / (5 · b²)] ÷ √[(9 · a²) / (100 · b²)] is equivalent to the expression 2 · b.
How to simplify an algebraic expression
In this question we need to simplify the division of two expressions that comprises powers and square roots, the complete procedure requires the use of algebra properties:
[(3 · a · b²) / (5 · b²)] ÷ √[(9 · a²) / (100 · b²)] Given[(3 · a · b²) / (5 · b²)] ÷ [√(9 · a²) / √(100 · b²)] Square root of a division[(3 · a · b²) / (5 · b²)] ÷ [(√9 · √a²) / (√100 · √b²)] Square root of a product[(3 · a · b²) / (5 · b²)] ÷ [(3 · a) / (10 · b)] Definition of square root[(3 · a · b²) · (10 · b)] / [(5 · b²) · (3 · a)] Division of fractions(30 · a · b³) / (15 · a · b²) Associative and commutative properties / Definition of multiplication / Multiplication of powers of equal base2 · b Associative and commutative properties / Definition of division / ResultThe expression [(3 · a · b²) / (5 · b²)] ÷ √[(9 · a²) / (100 · b²)] is equivalent to 2 · b.
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Can you guys help me please
The shortest length of fabric, in inches, that Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 30 inches
How to solve for the shortest length of fabric required to make the table clothGiven data
diameter of the table = 3 feet
hang down dimension = 5 inches
sew down dimension = 1 inch
width of rectangular fabric = 60 inches
The question seeks for area of the table cloth, for a circular table area of a circle = pi * r^2
required radius of cloth
= radius of the table + hang down dimension + sew down dimension
= 3 feet / 2 + 5 inches + 1 inch
= 1.5 * 12 inches + 5 inches + 1 inch
= 18 + 5 + 1
= 24 inches
Area of required cloth
= pi * 24^2
= 1809.557 square inches
Area of fabric = Area of required cloth
length * wide = 1809.557 square inches
length * 60 = 1809.557 square inches
length = 1809.557 / 60 square inches
length = 30.159 inches ≈ 30 inches
Therefore option H which is 30 inches is the answer
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