Answer:
Statement should be : "4 less than the product of 3 and some number x is y" => 3x-4 = y
Step-by-step explanation:
Let "Four less than the product of three and n"
From the given statement we get an algebraic expression 3x - 4 = y.
What is an algebraic expression?An algebraic expression in mathematics exists as an expression that stands created up of variables and constants, along with algebraic operations like addition, subtraction, etc. x exists a variable, whose value exists unspecified to us and can take any value.
An algebraic expression exists as an indication acquired by a finite number of the fundamental operations of algebra upon characters symbolizing numbers.
Let "Four less than the product of three and n". From the given statement we get an algebraic expression 3x - 4 = y.
To learn more about algebraic expression
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1.Which are the equation and solution for the sentence, "Anumber, n, divided by
four tenths equals 12?"
A. n ÷ 4 = 12; n = 36
B. 0.4n = 12; n = 30
C. n − 0.4 = 12; n = 12.4
D. n ÷ 0.4 = 12; n = 4.8
2.Janet has read all but the last 58 pages of a book. The book has a total of 125
pages. Which equation can you use to find how many pages (x) she has
already read?
A. 125 + x = 58
B. 125 − x = 58
C. 125 ÷ 58 = x
D. 58 − x = 125
3.Coach Whitcomb treated her soccer players to ice cream cones after they won
their game. She bought 12 cones and paid a total of $21.00. If she solves the
equation 12x = 21, she can find the price per ice cream cone. What does 1
cone cost?
A. $2.00
B. $1.75
C. $1.50
D. $1.25
Answer:
1) B/ 0.4n = 12; n = 30
2) B/ 125 – x = 58
3) B/ $1.75
Step-by-step explanation:
1) 0.4n = 12
n = 12 ÷ 0.4
n = 30
2) 125 – x = 58
– x = 58 – 125
– x = – 67 ( – & – will get cancelled)
x = 67
a) 125 + x = 58
x = 58 – 125
x = – 67 (pages won't be in negative)
c) 125 ÷ 58 = x
2.15 = x (wrong)
d) 58 – x = 125
– x = 125 – 58
– x = 67
x = 67 ÷ –1
x = – 67 ( pages won't be in negative)
3) 12x = 21
x = 21 ÷ 12
x = 1.75
Use Quadratic Formula to solve Real Life Quadratic Equation Problem.
Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.
Answer:
Step-by-step explanation:
Use Quadratic Formula to solve Real Life Quadratic Equation Problem.
Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.
Two trains are traveling toward each other, on parallel tracks. Train A is moving at a constant speed of 70 miles per hour. Train B is moving at a constant speed of 50 miles per hour. The trains are initially 320 miles apart. How long will it take them to meet?
What is the probability that the dice shows a 2?
Answer:
1/6
Step-by-step explanation:
the probability of rolling a 2 is 1/6
Match the equation y = -3x + 4 to the corresponding graph below.
Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval (0,3)
Answer:
g(x), f(x) and h(x)
Step-by-step explanation:
Given
Interval: (0,3)
See attachment for functions f(x), g(x) and h(x)
Required
Order from fastest to slowest decreasing average rate of change
The average rate of change is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex](a,b) = (0,3)[/tex]
i.e.
[tex]a = 0\\b=3[/tex]
For f(x)
[tex]f(x) = 16(\frac{1}{2})^x[/tex]
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]
Calculate f(3) and f(0)
[tex]f(x) = 16(\frac{1}{2})^x[/tex]
[tex]f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2[/tex]
[tex]f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16[/tex]
So:
[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]
[tex]Rate = \frac{2 - 16}{3}[/tex]
[tex]Rate = -\frac{14}{3}[/tex]
For g(x)
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
[tex]Rate = \frac{g(3) - g(0)}{3 - 0}[/tex]
[tex]Rate = \frac{g(3) - g(0)}{3}[/tex]
From the table of g(x)
[tex]g(3) = 1[/tex]
[tex]g(1) = 27[/tex]
So:
[tex]Rate = \frac{1 - 27}{3}[/tex]
[tex]Rate = -\frac{26}{3}[/tex]
For h(x)
[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]
[tex]Rate = \frac{h(3) - h(0)}{3 - 0}[/tex]
[tex]Rate = \frac{h(3) - h(0)}{3}[/tex]
From the graph of h(x)
[tex]h(3) = -3[/tex]
[tex]h(0) = 4[/tex]
So:
[tex]Rate = \frac{-3 - 4}{3}[/tex]
[tex]Rate = -\frac{7}{3}[/tex]
So, the calculated rates of change are:
[tex]f(x) = -\frac{14}{3}[/tex] [tex]= -4.67[/tex]
[tex]g(x) = -\frac{26}{3}[/tex] [tex]=-8.67[/tex]
[tex]h(x) = -\frac{7}{3}[/tex] [tex]=-2.33[/tex]
By comparison:
From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)
Answer: IN THIS ORDER!! g(x), f(x), h(x).
What is an equation of the line that passes through the points (-4,-2)
and (8, 1)?
Answer:
y=1/4x-1
Step-by-step explanation:
What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
When you cut a cross-section of a three-dimensional shape, how many dimensions is the cross section? Explain.
Find the circumference
Answer:
circumference:
2 × 3.14 × 5.8m = the circumference ** (use your calculator here, ill die if I in do this)
Pls answer this I will give 10 points and brainlest for 4 to 6 answers
Answer:
wheres the question
Step-by-step explanation:
HELP DUE IN 15 MINS!
x=??
Answer:
4 yuuuhhhgh I have been working
Answer:
x = 3Step-by-step explanation:
WX is midsegment
WX = 1/2(TU + SV)7x + 10 = 1/2(16 + 46)7x + 10 = 317x = 21x = 3
A triangle has sides with lengths of 12 yards, 17 yards, and 20 yards. Is it a right triangle?
Answer:
190.9
Step-by-step explanation:
The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the measure of the second angle
Answer:
x = 57.2
Step-by-step explanation:
Equation:
32.8 + x = 90
x = 90 - 32.8
x = 57.2
Han has four shirts in his shirt drawer – a blue shirt, a grey shirt, a white shirt, and an orange shirt. He has three pairs of pants in his pants drawer – blue pants, khaki pants, and black pants. If Han chooses a shirt without looking and then chooses pants without looking, what is the probability that he will choose pants and a shirt that are the same color?
Answer:
1/12
Step-by-step explanation:
12 combinations are possible in this scenario. Shirts. Pants
blue 1 blue 2khaki 3black
grey 4 blue. 5khaki 6black
white 7 blue 8khaki 9black
orange 10blue 11khaki 12black
blue/blue are the only matching items so 1/12 chance
Answer:
1/12
Step-by-step explanation:
On an island there are 7 cities each 2 of them connected by a direct road they are building a 8th city they also want it to connect with the other 7 existing cities how many roads will there be after they build the 8th city
Answer:
After the 8th city is built there will be 28 roads between the cities
Step-by-step explanation:
The given parameters are;
The number of cities initially on the island = 7 cities
The number of roads between each 2 cities = 1 road
Therefore, we have the number of roads between the 7 cities are;
7 cities taking 2 at a time = ₇C₂
[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]
The initial number of roads between the 7 cities = 21 roads
The number of roads, 'n' there will be after the 8th city is built is therefore;
[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]
The number of roads there will be after the 8th city is built, n = 28 roads.
i have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?
Answer:
3/4 x 6=18/4
Step-by-step explanation:
Reduce fraction to lowest terms
18 over 4
18 /4
= ( 18 ÷ 2 ) over ( 4 ÷ 2 )
18 ÷ 2
4 ÷ 2
= 9 over 2
9 /2
2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
9 over 2
9 /2 = 4 and 1 over 24
1 /2
9 ÷ 2 = 4 remainder 1
Answer:
7 and a half minutes
Step-by-step explanation:
this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour
Name an outcome that has a probability of 0.5
Answer:
A coin toss
Step-by-step explanation:
if you flip one coin repeatedly like 10 to 10000 it can be 0.5
Unit 6 Area and Perimeter Test
Find the perimeter of the figure below. Use 3.14 for pie If needed, round your answer to the nearest hundredth. SHOW AL
6 ft
4 ft
\5 ft
3 ft
Select all the true statements.
x=y
Answer:
What is the question?????
Help please! All guesses get reported! Answer gets brainliest!
Answer:
A - 36 in.
b - 8
Step-by-step explanation:
A - You marked all of it right! 10 + 10 + 10 + 6
B - The teeth are only on half of the circle that hit the chain. 10 inches of chain for the big wheel, so 1/2 of 10 is 5. Same thing for the little wheel, 1/2 of 6 is 3, and 5+3 = 8, so about 8!
Arelli uses 8.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer: 2.1 Pints
Step-by-step explanation:
Given
Areli uses 8.4 Pints of blue and White Paint
If the three-fourth is blue paint i.e.
[tex]\Rightarrow 8.4\times \dfrac{3}{4}=6.3\ \text{Pints}[/tex]
The remaining one-fourth is White Paint i.e.
[tex]\Rightarrow 8.4\times \dfrac{1}{4}=2.1\ \text{Pints}[/tex]
Please help I’ll mark brainliest
Answer:
y= x-3
Step-by-step explanation:
use the slope formula which is y= m(slope)x + b(y intercept)
The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.
Hope this helps :)
Hurry plzz help me out!!!
Answer:
I do believe that it is B.
Sorry I don't have much of an explanation.
What is the area of the trapezoid below
Answer:
[tex]Area: 29 cm^{2}[/tex]
Step-by-step explanation:
[tex]Aear=(8.5+6)(\frac{4}{5} )[/tex]
[tex]Area=14.5 (2)[/tex]
[tex]Area=29[/tex]
----------------------
hope it helps...
have a great day!!
Nalani says the expression 9+7r cannot be factored using the GCF. Is she correct? Explain why or why not
Answer:
Nalani is correct.
Step-by-step explanation:
Given - Nalani says the expression 9+7r cannot be factored using the GCF.
To find - Is she correct? Explain why or why not.
Proof -
GCF - Greater Common factor
Given that, the expression is - 9 + 7r
As
HCF(9, 7) = 1
So , we can not factor the expression.
i.e. there does not exist any number who is a multiple of 9 and 7 both.
So,
Nalani is correct.
Example -
Let the expression be 24 + 18x
HCF(24, 18) = 6
So,
24 + 18x = 6(4 + 3x)
4x > 20 Is x=12 a solution?
yes or no
no
Hope this helps
:T
:B
:D
From what we have, x can equal 12
4x > 20
20/4 = 5
x > 5
12 > 5
I NEED HELP PLEASE THANK YOU The table gives average annual salaries for four jobs. Based on this information, how much more money would a store manager earn than a painter over 10 years? O $33 600 0 $184.100 O S297.000 o $481.100
Answer:
Divide annual salary minus extra compensation by the number of hours worked per year. For example, if your annual salary minus bonuses, tips and commissions is $30,000 and you work 2080 hours per year, your base salary is approximately $14.42 an hour.
Answer:
297,000 good luck :))!!!
the picture has the question
Answer:
A:80 FT
Step-by-step explanation:
just did it
1. Solve the compound inequality. You do not need to graph the solution.
Answer:
9 ≤ x ≤ 7
Step-by-step explanation:
2x – 3 ≤ 11 or –8x – 10 ≤ – 82
We shall determine the value of x in both case.
2x – 3 ≤ 11
Collect like terms
2x ≤ 11 + 3
2x ≤ 14
Divide both side by 2
x ≤ 14/2
x ≤ 7
–8x – 10 ≤ – 82
Collect like terms
–8x ≤ – 82 + 10
–8x ≤ – 72
Divide both side by –8
x ≤ – 72 / –8
x ≥ 9 (since we divided by a negative sign)
9 ≤ x
Combining both answers
x ≤ 7
9 ≤ x
Thus,
9 ≤ x ≤ 7