The equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.
In the question, we are asked to write and solve an equation to find the number, given that the difference between 3 times the number and 12 is -24.
We assume the number to be x.
The sentence given to us is the difference between 3 times the number and 12.
Three times the number is 3x.
The difference between 3 times the number and 12 can be shown as 3x - 12.
We are given that the difference between 3 times the number and 12 is -24.
This can be shown as 3x - 12 = - 24.
This is the required equation.
To solve this, we do the following steps:
3x - 12 = -24.
Adding 12 to both sides, we get:
3x - 12 + 12 = - 24 + 12,
or, 3x = -12.
Now, we divide both sides by 3, to get:
3x/3 = -12/3,
or, x = -4.
Thus, the equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.
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Multiply.simplify your answer and write it as a mixed number 5•7/8
Answer:
it should be 4 3/8 but sorry if it's wrong <3
A parabola opening up or down has vertex (0, 1) and passes through (12, -17). Write its
equation in vertex form.
Simplify any fractions.
The equation of the parabola is y = (-3/2)x + 1.
The general vertex form of the equation of a parabola is y = a(x - h)2 + k
where (h, k) are the coordinates of the vertex
Here, we are given that vertex = (0, 1)
Thus, the equation of the parabola is-
y = a(x - 0)2 + 1
y = 2ax + 1
Also, we are given that the parabola passes through (12, -17).
Thus, (12, -17) must satisfy the equation of the parabola
⇒ -17 = 2a(12) + 1
-17 = 24a + 1
24a = -17 -1
24a = -18
a = -18/24
a = -3/4
Thus, the equation of the parabola becomes-
y = 2(-3/4)x + 1
y = (-3/2)x + 1
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Solve for the value of v.
(9v-3) 84°
Answer:
v = 11
Step-by-step explanation:
(9v - 3) and 84 are a linear pair and sum to 180° , that is
9v - 3 + 84 = 180
9v + 81 = 180 ( subtract 81 from both sides )
9v = 99 ( divide both sides by 9 )
v = 11
Please help, select all the perfect squares
Answer:
9 , 16x^2 , 4z and 100y^2 are perfect Squares!
_____________________________________
What are Perfect Squares?
A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
3 * 3 = 9
4 * 4 = 16
2 * 2 = 4
50 * 50 = 100
Therefore making those numbers perfect squares.
[NOTE: The numbers that are squared are still perfect squared, just a larger version!]
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Have a WONDERFUL day! (:
Answer:
Step-by-step explanation:
Perfect squares are: 100y^2, 16x^2, and 9
sqrt of 100y^2 is 10y
sqrt of 16x^2 is 4x
sqrt of 9 is 3
the distance from sacramento to fresno can be respresented as 2x+10 and the distance from fresno to san bernardino can be represented as 4c + 12. To Travel from sacramento to san bernardino is 340. How many miles is it to travel from Fresno to San Bernardino? Show your work below.
The distance travel from Fresno to San Bernardino is 224 miles.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Distance from sacramento to fresno =2x+10
Distance from fresno to san bernardino= 4x + 12
Distance from sacramento to san bernardino = 340.
According to given question we have
Distance from sacramento to fresno+Distance from fresno to san bernardino=Distance from sacramento to san bernardino
2x+10 +4x + 12 =340.
Compare the like terms we get
6x+22=340
Subtract 22 from both sides we get
6x=318
x=53
So,
Distance from sacramento to fresno
=2x+10
=2*53+10
=106+10
=116
Distance from fresno to san bernardino
= 4x + 12
=4*53+12
=224
Therefore, the distance travel from Fresno to San Bernardino is 224 miles.
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In 9 hours, Donna reads 45 chapters of a book. What is her rate in chapters per hour?
Answer:
Donna reads an average of 5 chapters each hour.
Step-by-step explanation:
45/9=5
1/18
In decimal equivalent rationam number
The decimal equivalent rational number of the given fraction 1/18 is 0.06
What are rational numbers?In arithmetic, a rational number is a number that can be represented as the quotient p/q of two integers such that q = 0. Aside from fractions, the set of rational numbers includes all integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.A rational number's decimal equivalent is the rational number in decimal form. We can find the decimal equivalent of a rational number in fraction form by dividing by the fraction.So, 1/18:
1/18 = 0.05555555555....
Rounding off to the nearest tenth we get: 0.06
(Refer to the diagram below for calculation)
Therefore, the decimal equivalent rational number of 0.06
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(-1)7 + (-1)8 + 1" + (-1)² + (-1)2n+1
Answer:
In the picrure
Step-by-step explanation:
Solve for the value of c.
(20-3)
97°
i attached a pdf, hopefully it helps you understand!
the hypotenuse of an isosceles right triangle is $4\sqrt{2}$ units. how many square units are in the area of the triangle?
If hypotenuse of an isosceles right triangle is [tex]4\sqrt{2}[/tex] units, then the area of the triangle is 8 square units
Given,
The hypotenuse of an isosceles triangle =[tex]4\sqrt{2}[/tex]
An isosceles triangle is a triangle that has at least two sides of equal length
Consider the two equal sides as x
According to Pythagoreans theorem
[tex]x^{2} +x^{2} =(4\sqrt{2})^{2} \\2x^{2} =32\\x^2=16[/tex]
x=4 units
We know,
Area of two isosceles right triangle equal to the area of the square with same length
Area of the square = [tex]x^{2} =4^{2}=16[/tex] square units
Then the area of the triangle =[tex]\frac{16}{2}=8[/tex] square units
Hence, if hypotenuse of an isosceles right triangle is [tex]4\sqrt{2}[/tex] units, then the area of the triangle is 8 square units
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Maddie and Cara each made a bowl of punch. Cara used 6 times as much lemonade as Maddie did. If Maddie used 2/3 of a cup of lemonade, how many cups of lemonade did Cara use?
Write your answer as a fraction or as a whole or mixed number.
Cara used 4 cups.
Maddie(M) used 2/3 of a cup.
Cara(C) used 6 times the amount M used.
M x 6 = C
2/3 x 6 = C
2/3 x 6 = 12/3 = C
12/3 = 4 = C
4 = C
What fraction of £1 is 17p?
Answer:
17 / 100 or 1 / 17
Step-by-step explanation:
Hope this helps :)
The required fraction of 17p in £1 is 17 / 100.
Given that,
To determine the fraction of £1 is 17p.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
£1 = 100p
p = 1 / 100
Multiply by 17 on both sides,
17p = 17 / 100
Thus, the required fraction of 17p in £1 is 17 / 100.
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find the weighted average of the numbers 1 and 6, with weight four-fifths on the first number and one-fifth on the second number.
The weighted average of the numbers 1 and 6 is 2
What is weighted average of two numbers?
The weighted average of 1 and 6 in this instance, means the sum of the two numbers multiplied by their weights which are four-fifths and one-fourth respectively.
weighted average=(first number*weight of first number)+(second number*weight of second number)
first number=1
weight of first number= four-fifths=4/5
second number=6
weight of second number=one-fifth=1/5
weighted average=(1*4/5)+(6*1/5)
weighted average=2
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Someone help with both pls
3x-22°=90°
please help me ASAP
Answer:
about 37.33
Step-by-step explanation:
90+22=112/3 is x
x=37.33
Tom made $171 for 9 hours of work. At the same rate, how many hours would he have to work to make 323 ?
Answer:
Your answer would be 17 because 171 divided by 9 is 19, so 323 divided by 19 would be 17.
Answer:
17 hoursStep-by-step explanation:
Tom made $171 for 9 hours of work. At the same rate, how many hours would he have to work to make 323 ?
we can solve with an equation171 : 9 = 323 : x
x = 9 * 323 : 171
x = 2907 : 171
x = 17
-------------------------
check
171 : 9 = 323 : 17
19 = 19
the answer is goodPlease give an explanation along with your answer.
Answer: 1.19
Step-by-step explanation:
[tex]\displaystyle\\\frac{3\frac{1}{2}-1\frac{4}{5} }{1\frac{3}{7} }=\\\\\frac{\frac{3*2+1}{2} -\frac{1*5+4}{5} }{\frac{1*7+3}{7} } =\\\\\frac{\frac{6+1}{2}-\frac{5+4}{5} }{\frac{7+3}{7} } =\\\\\frac{\frac{7}{2}-\frac{9}{5} }{\frac{10}{7} } =\\\\\frac{\frac{7*5-9*2}{2*5} }{\frac{10}{7} } =\\\\\frac{\frac{35-18}{10} }{\frac{10}{7} } =\\\\\frac{\frac{17}{10} }{\frac{10}{7} } =\\\\\frac{17*7}{10*10} =\\\\\frac{119}{100} =\\\\1.19[/tex]
can someone answer this plssssssss
Answer:
y=-5x/2+4
Step-by-step explanation:
4y=-10x+16
y=-5x/2+4
Sally babysits for 3 hours on weekdays and charges $10 per hour. If she babysits for 65 days total, how much will she make?
If she babysits for 65 days total, she would make $1,950 in all
What is the earnings of Sally per day of babysitting?
The earnings that Sally realize from one day of babysitting is the pay per hour multiplied by the number of hours Sally works per day as shown below:
earnings per day=hourly rate*number of hours a day
hourly rate=$10
number of hours a day=3
earnings per day=$10*3
earnings per day=$30
Now, the earnings at she realizes from 65 days of babysitting can be determined as the earnings made in one day multiplied by the number of days she spent babysitting
earnings for 65 days=$30*65
earnings for 65 days=$1,950
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Coach Murphy has the football team run stairs for practice. Each set of stairs has 75 steps. They have to do 6 sets and have already run 300 stairs.
Answer:
The run 750 steps
Step-by-step explanation
6x+300
x is 75
450+300
750
Perimeter < 18.7 feet
4,1 ft
4.9 ft/
6.4 ft
x ft
Inequality:
Solution:
The solution to the inequality is x < 3.3
How to determine the solution to the inequality?The given parameters are:
Perimeter < 18.7 feet
Side lengths: 4.1 ft 4.9 ft 6.4 ft x ft
The perimeter of a shape is the sum of the side lengths
So, we have
Perimeter = 4.1 ft + 4.9 ft + 6.4 ft + x ft
Remove the unit
So, we have
Perimeter = 4.1+ 4.9 + 6.4 + x
Evaluate the sum
Perimeter = 15.4 + x
Recall that
Perimeter < 18.7 feet
So, we have
15.4 + x < 18.7
Subtract 15.4 from both sides
x < 3.3
Hence, the solution to the inequality is x < 3.3
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If a₁ = 5 and a,, = 0,-1+5 then find the value of as.
Answer:
a1 = 6 and an = an-1 - 5
a2 = a2-1 - 5 = a1 - 5 = 1
a3 = a3-1 - 5 = a2 - 5 = -4, etc
Step-by-step explanation:
Find the value of 3 + x when x = 5?
Answer: your mom
(x−5)(x−3)
Can someone help plss
a dose was increased from 250 to 500 milligrams. what is the percent increase??
I got 1, so can anyone confirm if it's right or not please
Step-by-step explanation:
initally dose was 250 mg and then increased to 500 mg.
so, percent increase would be :-
(500-250)/250 * 100
= 1 %
so I guess u are correct.
The percentage increase in the size of the dosa is 100%
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the size of the dosa is increased from 250 to 500.
The amount of increment is:
500 - 250
= 250
The percentage change is given by:
(250/250) × 100%
= 100%
Hence, the percentage increase in the size of the dosa is 100%
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Simplify y to the negative seventh power over x to the negative third power.
The expression is simplified to y ^-7/x^-3
What are algebraic expressions?Algebraic expressions are expressions comprising of variables, terms, factors, coefficients, constants.
These expressions are also made up of arithmetic operations such as;
AdditionSubtractionMultiplicationDivisionBracketFrom the information given, we have;
y to the negative seventh power over x to the negative third power
This can be represented as;
Negative seventh power = ^-7
Negative third power = ^-3
Substitute into formula
y ^-7/x^-3
Thus, the expression is simplified to y ^-7/x^-3
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show that 268 can be written as the sum of a power of 3 and a squared number
We have shown that 268 can be written as the sum of a power of 3 and a squared number.
We are given a number:
268
We need to show that it can be written as the sum of a power of 3 and a squared number.
We can write 268 as:
268 = 243 + 25
Now, factors of:
243 = 3 × 3 × 3 × 3 × 3
25 = 5 × 5
So, this can be rewritten as:
268 = 3 ⁵ + 5²
which is he sum of a power of 3 and a squared number
Therefore, we have shown that 268 can be written as the sum of a power of 3 and a squared number.
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When converting measurements in the metric system, you can move the decimal point to the left or to the right why? Select all that apply.
A When converting from smaller to larger units zero dividing by the power of 10
B Moving a decimal point is The same thing as adding or subtracting
C The metric system is based on powers of 10
DWhen converting some larger to smaller unit, you are applying by the power of 10
Answer:
C The metric system is based on powers of 10
Step-by-step explanation:
There is a daily fee for renting a movin truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Write and solve an equation to find the daily fee
Answer:
Step-by-step explanation:
$0.50 x 48 + $64 = $88. Because of order of operations or PEMDAS, multiplication goes first, then comes addition. Hope you found this helpful!
Lois James' W-2 form is shown below.
રરરરર
1 Employed and code
PA
667438991
Acme, Inc
123 Man Street
Philadelphia, PA 19146
Lou James
632 Dodge Street
Philadelphia, PA 19145
Wage and Tax
Empre
471-29-2525
35-5427864
foW-2 Statement
Copy 1-For State, City, or Local Tax Department
A. $2018.40
D. $472.04
B. $32,554.76
C. $4465.71
32,554 76
999 43
2010
32,554 76
32,554 76
32.554 76
060
16 Laps
32,554 76
12e
the
124
4465 71
2018 40
Macato all
472 04
Department of the y
1400 18
How much did Lois have withheld from her yearly pay for Social Security?
20 Locatty cam
PHIL
ne Service
Answer:2018.40
Step-by-step explanation: i tried 472 and it was wrong and stated 2018 was correct.