Answer:
Hey! the breadth is 12 m and the length is 12+6=18 m
Mark me as brain?
Step-by-step explanation:
let the breadth be X metre
so the length will be 6+ x metre
perimeter is equal to 60 m
2(6+x+x)=60
2 (6+2x)=60
12+4x=60
4x=60-12=48
x=48/4=12
so
5x-4y > 10
3x-2y < -7
Answer:
[tex]x > \frac{2(5 + 2y)}{5} \\ \\ x < \frac{2y - 7}{3} [/tex]
Step-by-step explanation:
[tex]1. \: 5x > 10 + 4y \\ 2. \: x > \frac{10 + 4y}{5} \\ 3. \: x > \frac{2(5 + 2y)}{5} \\ \\ \\ 1. \: 3x < - 7 + 2y \\ 2. \: 3x < 2y - 7 \\ 3. \: x < \frac{2y - 7}{3} [/tex]
How many packages of diapers (d) can you buy with $40 if one package costs $8?
Answer:
5
Step-by-step explanation:
because 8+8+8+8+8=40 or 8*5
and theres 8 five times
ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Answer:
the slope would be -3 because it takes the place of the m in y=mx+b
Step-by-step explanation:
How do you graph -3x+4y<4
The graph is a dashed line, shaded area below the boundary line since y is less than (3/4)x + 1).
What is the graph of -3x + 4y < 4?Given the inequality in the question;
-3x + 4y < 4
First, rearrange the inequality in slope-intercept form ( y = mx + b )by solving for y.
-3x + 4y < 4
4y < 3x + 4
Divide each term by 4
4y/4 < 3x/4 + 4/4
y < (3/4)x + 1
Now, compare to the slope-intercept form ( y = mx + b )
y < (3/4)x + 1
Slope m = 3/4
b = 1 which gives the y-intercept: ( 0,1 ).
Now, graph a dashed line, then shade the area below the boundary line since y is less than (3/4)x + 1 ( y < (3/4)x + 1 ).
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At a little-known vacation spot, taxi fares are a bargain. A 18-mile taxi ride takes 24 minutes and costs $7.20. You want to find the cost of a 34-mile taxi ride. What unit price do you need?
The unit price is $2.5
34 mile taxi ride will cost $85
How to calculate the unit price ?18 mile taxi ride costs $7.20
The cost of 1 mile is
= 18/7.20
= 2.5
The unit price is $2.5 for 1 mile
The cost of 34 mile taxi ride can be calculated as follows
= 2.5 × 34
= 85
Hence the 34 mile taxi ride will cost $85
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>
Question 2
Name the slope and one point that is on the line represented by the equation:
y+ 3 =
(x+7)
=-- and point (-7, -3)
m=
and point (7,3)
Om= and point (-7, -3)
and point (-7, -3)
The slope of the line is equal to 1 and a point lying on the line with the given equation is (7, 3).
The equation of the line is given as y + 3 = x + 7. First, we write the equation of the line in proper form. It can be written in slope-intercept form as y = mx + c where m is known as the slope of the line and c is the intercept made by the line.
Now, according to the equation given in question.
y = x + 7 - 3
y = x + 4
If we compare this equation with the slope-intercept form of line, we get the slope equal to one.
y = mx + c
y = x + 4
=> m = 1 and c = 4.
A point which satisfies the equation y = x + 4 can be (7, 3) as
7 = 3 + 4
=> 7 = 7 (L.H.S. = R.H.S.)
Thus, slope of the line is equal to 1 and a point lying on the line with the given equation is (7, 3).
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Solve 4.3t + 6.8 = 8.4t – 7.55 for t.
Question 1 options:
A)
3.5
B)
–0.18
C)
–3.5
D)
–1.13
Answer:
A) 3.5
Step-by-step explanation:
Solving the equation: First bring all the terms with variable 't' to one side of the equation.4.3t + 6.8 = 8.4t - 7.55
Subtract 8.4t from both sides,
4.3t - 8.4t +6.8 = -7.55
Combine like terms,
-4.1t + 6.8 = -7.55
Now isolate 't'To isolate 't' first subtract 6.8 from both sides.
-4.1t = -7.55 - 6.8
-4.1t = -14.35
Divide both sides by (-4.1)
t = -14.35 ÷ (-4.1)
t = 3.5
The height of a box is 7 inches. The length is three inches more than the width. Find the width if the volume is 910.
The width of the box whose height is given as 7 inches and length is three inches more than the width given a volume of 910 is; 10 inches.
What is the width of the box in discuss whose height, length and width are as described in the task content?It follows from the task content that the height of the box is; 7 inches.
Let, x = width of the box and;
x+ 3 = length of the box.
Therefore, since the volume of a box is given by the formula;
V = l × b × h
Therefore, we have;
910 = 7 (x) (x+3)
Divide both sides by; 7
130 = x² + 3x
x² + 3x -130 = 0.
(x+13) (x-10) = 0
Therefore, x = -13 or x = 10.
Ultimately, the possible values of the width are; -13 or 10.
Since the width cannot be a negative number, it follows that the width of the box in discuss is; 10 inches.
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How many solutions are there to the equation below?
4x-9(x + 1) = 20 - 5x
Ο Α. 0
OB. 1
C. Infinitely many
Answer: the correct answer is B.0. Step-by-step explanation: there is no value for x.
Distributing the - sign outside the parentheses
-4.3s-(9t+1)
The - sign outside the parentheses is 1-9t-4.3s
It follows from the task content that the expression which is equivalent to; −-4.3s-(9t+1) by distributing the "-" sign outside the parentheses is required.
Hence, it follows that each term in the parentheses is multiplied by the negative sign outside the parentheses as follows;
-4.3s-(9t+1)
=-4.3s--9t-1
=1-9t-4.3s
Ultimately, the expression which is equivalent to that given in the task content by distributing the "-" sign outside the parentheses is; 1-9t-4.3s.
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DRU MIZEL MAINTAINS THE RECORDS OF THE AMOUNT OF A COAL DELIVERED TO HIS DEPARTMENT IN THE STEEL MILL. IN JANUARY, 3 tons 1,500 lbs WERE DELIVERED. IN FEBRUARY, 2 tons 1,200 lbs WERE DELIVERED. FIND THE TOTAL AMOUNT DELIVERED IN THESE TWO MONTHS.
The total amount of coal delivered in these two months is equal to 6.35 tons.
What is a conversion factor?A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion:
1 lbs = 0.0005 tons
1500 lbs = 0.75 tons
1200 lbs = 0.6 tons.
Now, we can determine the total amount of coal delivered in these two months:
Total amount of coal = 3 tons + 0.75 tons + 2 tons + 0.6 tons
Total amount of coal = 6.35 tons.
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A recipe uses 2 cups of milk to make 6 servings. If the same amount of milk is used for each serving, how many servings can be made from two gallons?
A recipe uses 2 cups of milk to make 6 servings. If the same amount of milk is used for each serving, Two gallons of milk will make 192 servings
How to find the how many servings can be made from two gallons of milkGiven data
2 cups of milk to make 6 servings.
Assuming
1 gallon 4 quarts
1 quart 2 pints
1 pint 2 cups
1 cup = 8 fluid ounces
if 1 quart 2 pints, then 4 quarts will be
= 4 * 2 = 8 pints
if 1 pint 2 cups, then 8 pints will be
= 8 * 2 = 16 cups
if 1 gallon is 16 cups, the 2 gallons will be
= 16 * 2 = 32 cups
If 1 cup is 6 servings, then 32 cups will be
= 32 * 6 = 192 servings
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By measuring the amount of carbon- 14 in an object, a palaeontologist can determine its approximate age. The amount of carbon-14 in an object is given by, y=a e⁻⁰.⁰⁰⁰¹²t, where a is the amount of carbon- 14 originally in the object, and t is the age of the object in years. In 2003, a bone believed to be from a dire wolf was found at the La Brea Tar Pits. The bone contains 14% of its original carbon-14. How old is the bone?
a. What numbers should you substitute for y and t ?
The bone is approximately 16384 years old, as solved by basic algebra and logarithm.
The values of y and t can be: t = 16384, y = 16380(a). (as calculated by basic algebra and logarithm).
What is basic algebra and logarithm?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Let 'a' be the original amount of the object.
Then, according to question, for y = amount of carbon in the object, y = 0.14(a) (as the bone contains 14% of its original carbon-14).
We are also given that: y = a [tex]e^{-0.00012t}[/tex]
On substituting the value of y, we get: 0.14a = a [tex]e^{-0.00012t}[/tex]
By basic algebra, we can solve it as:
=> 0.14 = [tex]e^{-0.00012t}[/tex]
=> ln (0.14) = ln ([tex]e^{-0.00012t}[/tex]) (taking natural logarithm on both sides)
=> ln (0.14) = - 0.00012t (as [tex]log_b(a)^m=m(log_b(a))[/tex]; further: [tex]log_e(e) = 1[/tex])
=> [tex]\frac{ln(0.14)}{-0.00012}[/tex] = t
=> t = 16384 years (approx.)
The values of y and t can be as follows: t = 16384, y = a (0.9998(16384)) = 16380(a).
Hence, the bone is approximately 16384 years old, as solved by basic algebra and logarithm; The values of y and t can be: t = 16384, y = 16380(a). (as calculated by basic algebra and logarithm).
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If BT = 10, TO = 2x and BO = 4x-14, Find the length of TO & BO.
The length of TO is 6.66 and of BO is 3.32
In the problem we are given that BT=10 TO=2x amd BO=4x-10
We have to find the value of x in order to find the values of length of BO and TO.
BT=BO+TO
4x-10+2x=10
6x=20
x=3.33
The length of TO is 6.66
and of BO is 3.32
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3-5 At the fair, Kate found a strange machine with a sign on it labeled, "Enter a number. When she pushed the number 15, the machine displayed 9. When she entered 23, the machine displayed 17. Perplexed, she tried 100, and the machine displayed 94. what would the machine display if she entered 77.
The machine will display the digit 71 if she pressed a 77 number.
According to the statement
We have to find that the digit shown by the machine.
So, For this purpose, we know that the
Digits are the single numbers used to represent values in math
From the given information:
At the fair, Kate found a strange machine with a sign on it labeled, "Enter a number. When she pushed the number 15, the machine displayed 9. When she entered 23, the machine displayed 17. Perplexed, she tried 100, and the machine displayed 94.
From this
we find that the machine displayed a number after subtracting 6 from the pressing digit in the machine.
For example, When she pushed the number 15, the machine displayed 9.
Displaying digit = 15-9
6 = 6.
If she pressed a 77 number then machine will display
77 -6 = 71.
So, The machine will display the digit 71 if she pressed a 77 number.
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can any body help me with this
Answer:
BRO I TRIED THIS BEFORE
YOU JUST NEED TO SEARCH IT IN gogle
Write each expression as a single logarithm.
4 log m-log n
If we solve the expression 4 log m-log n,then it will look like log([tex]m^{4}/n[/tex]) as single logarithm.
Given that the expression is 4 log m-log n.
We are told to write the expression as a single logarithm.
logarithm is basically the exponent or power to which a base must be raised to yield a given number. It is opposite to exponential function.
The expression is 4 log m-log n.
We know that log [tex]a^{b}[/tex]=b log a and log (m/v)=log m-log n.So,
4 log m-log n=log [tex]m^{4}[/tex]- log n
=log ([tex]m^{4}/n[/tex])
Hence if we solve the expression 4 log m-log n,then it will look like
log([tex]m^{4}/n[/tex]) as a single logarithm.
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What is the equation of a line that passes through the point (1, −2) and is parallel to 10x+2y=−2 ?
Answer:
y = - 5x + 3
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 )
given
10x + 2y = - 2 ( subtract 10x from both sides )
2y = - 10x - 2 ( divide through by 2 )
y = - 5x - 1 ← in slope- intercept form
• Parallel lines have equal slopes , then
y = - 5x + c ← is the partial equation
to find c substitute (1, - 2 ) into the partial equation
- 2 = - 5 + c ⇒ c = - 2 + 5 = 3
y = - 5x + 3 ← equation of parallel line
Answer: y = - 5x + 3
Step-by-step explanation: i took the test
A group of friends were working on a student film that had a budget of $900. They used 53% of their budget on equipment. How much money did they spend on equipment?
The $53 money they spend on equipment if the group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
A group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.
The money spend on equipment = 53% of $900
The money spend on equipment = (53/100)900
= 0.53x100
= $53
Thus, the $53 money they spend on equipment if the group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.
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What is the exact value of sin 120° ? Use a double-angle identity.
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Sine is positive in the second quadrant, so:
[tex]\sin \frac{240^{\circ}}{2}=\sqrt{\frac{1-\cos 240^{\circ}}{2}} \\ \\ =\sqrt{\frac{1.5}{2}} \\ \\ =\sqrt{3/4} \\ \\ =\frac{\sqrt{3}}{2}[/tex]
simplify |8-40/4^3| 4^2 - 8 A.0 B.10 C.20 D.30
The required answer for the given expression is 0.
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
|8-40/4^3| 4^2 - 8
Solving the mod first,
Since 4^3 = 64 ; 4^2 = 16,
and 8 - 40 = -32
Therefore,
|8-40/4^3| 4^2 - 8 = |-32/64|16 - 8
Now solving
⇒ 32/64 = 1/2
Therefore we get,
|8-40/4^3| 4^2 - 8 = |-31/2| 16 - 8
Now since, |-a| = a
therefore, |-1/2| = 1/2
Therefore we get,
|8-40/4^3| 4^2 - 8 = (1/2) 16 - 8
Now, since (1/2) 16 = 8
Therefore we get
|8-40/4^3| 4^2 - 8 = 8 - 8
solving we get,
|8-40/4^3| 4^2 - 8 = 0
this is the required answer for the given expression.
Thus, the required answer for the given expression is 0.
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PLEASE HELP!!!!!
At the scene of a traffic accident, a police investigator must determine the speed of both vehicles. The investigator uses the formula s=2 square root 51 where s represents speed, measured in miles per hour, and l represents the length of the skid marks, measured in feet. Approximately how long are the skid marks of the car that is going 65 miles per hour?
The length of skid marks of a car that is going 65 miles per hour is approximately equal to 211 feet.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this scenario, the formula (expression) which is being used by this investigator is given by:
S = 2√(5L)
Where:
S represents speed, measured in miles per hour.L represents the length of the skid marks, measured in feet.Making L the subject of formula, we have:
S²/4 = 5L
L = S²/20
Substituting the given parameters into the formula, we have;
L = 65²/20
L = 4,225/20
Length of skid marks, L = 211.25 ≈ 211 feet.
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Are the following figures similar? (yes or no)
Answer:
I believe the answer is yes.
Step-by-step explanation:
Good Luck!!
Help quick please thanks
Answer:
d=12.5
hope this helps :)
what gradient?
pls help giving brainliest answers!! :)
Answer: 2
Step-by-step explanation:
4x-2y=6
Divide both parts of the equation by 2:
2x-y=3
2x-y+y=3+y
2x=3+y
2x-3=3+y-3
2x-3=y
y=2x-3
A seat on a ferris wheel is level with the center of the wheel. the diameter of the wheel is 200 feet. suppose the wheel rotates 60°, causing the height of the seat to decrease. how much closer to the ground is the seat after the rotation? 50 feet 50 startroot 3 endroot feet 100 feet 100 startroot 3 endroot feet
Using sine formula, the seat on a Ferris wheel is 50√3 feet closer to the ground after rotating 60°.
One of the 6 trigonometric functions is the sine function. Sine function can be described as the ratio of the length of the opposite side of the triangle to its hypotenuse.
sin x = (opposite side) / (hypotenuse)
where "opposite side" is the length of the side opposite to angle x
If the wheel rotates 60°, causing the height of the seat to decrease, using sin formula, solve for the vertical distance between the positions before and after the rotation.
sin x° = (opposite side) / (hypotenuse)
where x = 60
opposite side = vertical distance between the positions before and after the rotation
hypotenuse = radius = 200 feet/2 = 100 feet
sin 60° = opposite side / 100 feet
opposite side = 50√3 feet
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3. El resultado de restarle 13 a la suma de dos
números consecutivos, es 18. ¿Cuáles son esos
números consecutivos?
(1) 6 y 7
(2)9 y 10
(3) 10 y 11
(4) 15 y 16
(5) 31 y 32
When the result of subtracting 13 from the sum of two consecutive numbers is 18. The numbers are 15 and 16. The correct option is d.
How to illustrate the information?From the information, the result of subtracting 13 from the sum of two consecutive numbers is 18.
Let the numbers be x and x+1.
Therefore, (x + x + 1) - 13 = 18
2x + 1 - 13 = 18
2x - 12 = 18
2x = 18 + 12
2x = 30
Divide
x = 30/2
x = 15
Therefore, when the result of subtracting 13 from the sum of two consecutive numbers is 18. The numbers are 15 and 16. The correct option is d.
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which of the following values are in the domain of the function graphed below? check all that apply. 8 0 5 -1 9 -2
Answer:
cant answer without a function graphed
Step-by-step explanation:so yeah
Simplify [tex]\sqrt{18[/tex]
Answer:
3√2
Step-by-step explanation:
Square root of 18 is equal to 3√2 in radical form and 4.24264068712 in decimal form.
Evaluate ab + c for a = 2, b = 3, and c = 4.
Answer:
10
Step-by-step explanation:
substitute the given values into the expression
ab + c
= 2(3) + 4
= 6 + 4 = 10
Hey there!
ab + c
= 2(3) + 4
= 6 + 4
= 10
Therefore, your answer should be:
10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)