The result of the operation is -27 < -18 and the result is true
How to perform the operation on the inequality expression?The inequality expression is given as:
-15 < -6
The operation on the inequality expression is given as:
Subtract 12 from both sides of the inequality.
So, we start by subtracting 12 from both sides of the above inequality
This is represented as
-15 - 12 < -6 - 12
Evaluate the difference
So, we have
-27 < -18
The above inequality is true because -27 is less than -18
Hence, the result of the operation is -27 < -18 and the result is true
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A motor racing circuit has length 5 5/6 miles. A straight section of the circuit has 1 1/4 miles. What fraction of the circuit is the straight section? Give the answer in its simplest form
Answer:
3/14
Step-by-step explanation:
1 1/4 can be written as 5/4
5 5/6 can be written as 35/6
so divide (5/4)/(35/6)
= (5/4)*(6/35)
=(1/4)*(6/7)
=6/28
simplified = 3/14
someone please help ?!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?
Answer:
12.
Step-by-step explanation:
to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.
What is the value of f(2)?
Answer:
The value of f(2) is 1
Step-by-step explanation:
BE is the perpendicular bisector of AD. Find the value of each variable.
14. AC = 5x - 7 and DC = 8x - 28
15. m/ACB = (7y - 8)°
Answer:
ac =13x-35
m/abc = 7y-8
Step-by-step explanation:
in first to minus of same base
second it remain same because it can't be subracted with different base
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs
$3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax.
The restaurant only sells pancakes in stacks of 4 pancakes for $5.50.
1) Which inequality describes this scenario?
Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?
Answer:
3.25 + 5.50S is less than or equal to 30
-7 + 3x = -10x +25
Show the work
Answer:
Step-by-step explanation:
Move -7 to the left, so make 7 positive and & move it next to 25
1. 3x = -10x +25+7
combine 25 & 7
2. 3x=-10x+32
move 10 to the side & combine with 3x
3. 3x+10x=+32
4. 13x = 32
lastly divide 32 from 13
x= 32/13 OR x= 2 6/13Answer:x=32/13
Step-by-step explanation:
Rearrange terms−7+3=−10+25−7+3x=−10x+25
3−7=−10+25
add 7 to both sides of the equation
then Simplify
add 10 to both sides of the equation the
x=32/13
I need hellp please help me
Answer:
C
Step-by-step explanation:
Slope-intercept form: y=-11/10x-1
Standard form:________
Hey there!☺
\(Answer:\boxed{11x+10y=-10}\)
\(Explanation:\)
\(y=\frac{-11}{10}x -1\) in standard form
Rewrite in standard form.
\({11x+10y=-10\)
Hope this helps!
The standard form of the equation is 11x + 10y = -10.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given equation is y=-11/10x-1. The standard form of the equation can be written as,
y=-11/10x-1
10y = -11x - 10
11x + 10y = -10
Hence, the standard form of the equation is 11x + 10y = -10.
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identify the measure of angle EHF:
The measure of angle EHF is 63°
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
m∠EHG is a right angle.
This means,
m∠EHG = 90°
m∠EHF + m∠FHG = 90
m∠EHF + 27 = 90
m∠EHF = 90 - 27
m∠EHF = 63°
Thus,
The value of m∠EHF is 63°.
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Please help
5. The following two-way table contains information about the
number of right-handed and left-handed pupils in year 7 and
year 8. Find the probability that a student chosen at random is
left-handed.
Year 7
Year 8
Total
Left-Handed
10
14
24
Right-Handed
20
15.72
35.72
Total
200
220
84648
The probability that a student chosen at random is left-handed is 40%
How to calculate the probabilityFrom the given two-way table, we can see that the total number of left-handed students is:
10 + 14 = 24
And the total number of students is:
20 + 10 + 14 + 16 = 60
Therefore, the probability that a student chosen at random is left-handed is:
P(left-handed) = 24/60
Simplifying this fraction by dividing both the numerator and the denominator by 12, we get:
P(left-handed) = 2/5
P(left-handed) ≈ 0.40 or 40.%
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Which relation is a function of x?
Answer:
it is the last one. because it passes the verticle line test, and the first one repeats the same number two times.
If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the dimensions of this field (Please help)
Answer:
210 by 120
Step-by-step explanation:
perimeter=2l+2w
length= 2w-30
width= w
2(2w-30+w) = 660
6w-60= 660
6w= 720
w=120
length= 2*120-30 = 210
how to solve 3x+7=2x+1 using Dcmam
Answer:
x = -6
Step-by-step explanation:
3x + 7 = 2x + 1
Subtract 7 on both sides to leave 3x alone
3x = 2x - 6
Subtract 2x on both sides to have X on one side only
3x - 2x = x
x = -6
I'm not entirely sure as to what Dcmam is but there is really not much else you can do to find this value of x, it's as simple as that.
A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50
a) The total cost to produce 300 CD's is; $2550
b) The total cost C(n) in dollars of making n CDs is; C(n) = 1800 + 2.5n
How to find the total cost of production?We are given that;
Cost of recording an album = $1000
Cost to edit the album = $450
Cost for album art work = $350
Cost of each manufactured CD = $2.50
a) The fixed costs (no matter how many CDs are recorded) is;
Fixed costs = $1000 + $450 + $350 = $1800
The variable costs (depends on the number of CDs recorded) for 300 CD's is;
300 CDs * $2.50 = $750
Thus;
Total cost for 300 CD's = 1800 + 750 = $2550
b) We want to find the total cost function for making n number of CD's. From above, since Fixed cost is 1800 and variable cost is 2.5 per CD, then the function is;
C(n) = 1800 + 2.5n
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Complete question is;
A local polka band wants to make and sell CDs of its songs. Suppose it costs $ 1000 to record, $ 450 to edit, and $ 350 for album artwork, and suppose each CD that is manufactured will cost them $ 2.50
(a) How much will it cost to make 300 CDs?
(b) What is the total cost C(n) in dollars of making n CDs?
Simplify (2^3)^–2. PLEASE I NEED HELP U WILL GET 10 POINTS
Answer:
I won't give you the answer straight away so you take the time to read my answer and understand
Step-by-step explanation:
We knoe that 2 to the third is 8. when you square to a negative power, you do squaring normally, and then take the reciprocal of that number. so 8 to the second power is 64, and we flip it over, sp the answer is 1/64
1 louis rose his bicycle 1/2km to school 3/4 km to a ball field and 7/10 km home
Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.
Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.
To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.
The least common denominator is 20.
So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.
Adding these fractions together, we have:
10/20 km + 15/20 km + 7/10 km = 32/20 km
Simplifying this fraction, we get:
32/20 km = 8/5 km
Therefore, Louis rose a total distance of 8/5 km.
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Louis rode a total distance of 8/5 km or 1 and 3/5 km
Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.
First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.
Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.
Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.
Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.
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which method is best for solving the system of equations,
3x+2y=4
-3x+y=2
The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
What are system of equations?System of equations are pairs of equations that contain two unknowns
Ways of solving system of equationsWe have different ways of solving systems of equations which include
Guess and CheckEliminationGraphing and SubstitutionSince we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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shae used the product of rule to prove that 7 to 0 power is equal to 1
Answer:
yes a product of any number to 0 is equal to 1
Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi
Please include the formula
Step-by-step explanation:
hope it helps
have a great day!!
the probability that a continuous random variable equals any of its values is called?
The probability that a continuous random variable equals any of its values is called Continuous probability distribution.
Continuous probability distribution:
A probability distribution in which the random variable X can take on any value (which is continuous). Since there are infinitely many possible values for X, the probability that X takes on any particular value is zero. So we often talk about a range of values [p(X >0] = 0.50).
An absolutely continuous probability distribution is a probability distribution of real numbers with an uncountable set of possible values, such as the full interval of a solid line, where the probability of any event can be expressed as an integral. More precisely, there exists a function f: R − [0, so that for each interval[ 0,∞] ⊂ R, the probability that X belongs to [a, b] is given by the integral of f over I.
\(P(a\leq X\leq b) = \int\limits^a_b {f(x)} \, dx\)
Since this is the definition of a probability density function, an absolutely continuous probability distribution is exactly equivalent to a probability density function. In particular, the probability that X takes any single value a (i.e. a≤X≤b) is zero because integrals with the same upper and lower bounds are always zero. If the interval [a, b] is replaced by the measurable set A, then the equivalence remains valid.
P(X ∈ A) = \(\int\limits^a_b {f(x)} \, dx\)
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A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
Answer:24 units
Step-by-step explanation:
Use the equation below to answer the question. 6x + 3 = 3(2x + 3) Which statement correctly explains whether the equation is true or not?
Answer:
It should be the first one
Step-by-step explanation:
3x2=6
3x3=9
8.547 to the nearest whole number
Answer: 9
Step-by-step explanation:
Write and solve an equation to find the width of the box if its volume is 80 cubic centimeters. Then find its surface area.
Answer:
L=4.30cm
SA= 110.94cm^2
Step-by-step explanation:
Given data
Volume of box= 80 cm^3
We know that the volume of a box is given as
V= l^3
80=l^3
l= ∛80
l= 4.30cm
also the surface area of a box is given as
SA=2lw+2lh+2hw
SA= 2* 4.30* 4.30+2* 4.30* 4.30+ 2* 4.30* 4.30
SA= 36.98+36.98+36.98
SA= 110.94cm^2
Which of the following is a point-slope equation for a line with the point (-2,4) and a slope of 3?
Answer:
work is shown and pictured
Answer:
which equation describes the line with the slope of -3 that contains the point (2,4)?
Step-by-step explanation:
it's not really an answer more of a question, it is kinda similar, I just need help please comment if you know the answer!
Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face cards in the hand is (Q
Answer:
2 face cards
Step-by-step explanation:
By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).
The ratio of face cards in a full deck is (12/52) or slightly over 23%.
The likelihood of a face card in a hand of 8 cards is:
(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.
An Amazon delivery driver receives a bonus if he delivers a package to a customer in 20 minutes plus or minus 5 minutes. Which inequality or equation represents the drivers allotted time (x) to receive a bonus
\(15 \leq X \leq 25\) is the equation represents the drivers allotted time (x) to receive a bonus.
What us the absolute value of inequality?An absolute value inequality is an expression with absolute functions as well as inequality signs.
According to the question:
Mathematically absolute value inequality is represented as :
|X -20|≤ 5
Solving the equation using
|z| ≤ a→ -a ≤ z ≤ a :
here, z = X- 20 and a = 5:
\(| X-20| \leq 5\\\\ - 5\leq X-20 \leq 5\)
By Solving X adding 20 on the three sides of the inequality
\(-5 + 20 \leq X -20 +20 \leq 5 + 20\)
By simplifying it:
\(15 \leq X \leq 25\)
Therefore the equation or inequality which represents the drivers allotted time (x) to receive a bonus \(15 \leq X \leq 25\)
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HELP PLEASE No bots or unrelated answers, I will report
John has a 12 foot ladder. He wants to lean it against a wall. He needs the base of the ladder to be 6 feet from the base of the wall. What is the measure of the angle formed with the ground? (number only. do not include the degree sign or the word degrees)
Answer:
if the ladder is 12 ft., and the bottom of the ladder is 6 feet away from the wall, the top of the ladder, instead of being on the 12 foot mark on the wall, would slide down 6 feet because the farther away from the wall the bottom on the ladder is the more the top of the ladder slides down because the ladder doesn't change its length in the triangle.
Step-by-step explanation:
12 - 6 = 6
Minimum salary is 250$. Rate of commission is 5.65% . Weekly sales are 1,515. Whats the gross pay
The gross pay would be $335.5975.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been given that the minimum salary is $250
Here Weekly sales = 1515
Total commission = 5.65% × 1515
Total commission = 5.65/100 × 1515
Total commission = $85.5975
To determine the gross pay
We have to add the minimum salary and total commission,
Gross Salary = 250 + 85.5975
Gross Salary = $335.5975
Therefore, the gross pay would be $335.5975.
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Simplify the ratio of
35 : 14
Answer:
5:2
Step-by-step explanation:
divide both numbers by 7
hope this helps...
Answer:
Simplify the ratio of
35 : 14 = 5:2 divide both by 7